Answers
Answer:
16. Angle C is approximately 13.0 degrees.
17. The length of segment BC is approximately 45.0.
18. Angle B is approximately 26.0 degrees.
15. The length of segment DF "e" is approximately 12.9.
Step-by-step explanation:
16By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.
For triangle ABC:
[tex]\sin{A} = \sin{103\textdegree{}}[/tex],The opposite side of angle A [tex]a = BC = 26[/tex], The angle C is to be found, andThe length of the side opposite to angle C [tex]c = AB = 6[/tex].[tex]\displaystyle \frac{\sin{C}}{\sin{A}} = \frac{c}{a}[/tex].
[tex]\displaystyle \sin{C} = \frac{c}{a}\cdot \sin{A} = \frac{6}{26}\times \sin{103\textdegree}[/tex].
[tex]\displaystyle C = \sin^{-1}{(\sin{C}}) = \sin^{-1}{\left(\frac{c}{a}\cdot \sin{A}\right)} = \sin^{-1}{\left(\frac{6}{26}\times \sin{103\textdegree}}\right)} = 13.0\textdegree{}[/tex].
Note that the inverse sine function here [tex]\sin^{-1}()[/tex] is also known as arcsin.
17By the law of cosine,
[tex]c^{2} = a^{2} + b^{2} - 2\;a\cdot b\cdot \cos{C}[/tex],
where
[tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are the lengths of sides of triangle ABC, and[tex]\cos{C}[/tex] is the cosine of angle C.For triangle ABC:
[tex]b = 21[/tex],[tex]c = 30[/tex], The length of [tex]a[/tex] (segment BC) is to be found, andThe cosine of angle A is [tex]\cos{123\textdegree}[/tex].Therefore, replace C in the equation with A, and the law of cosine will become:
[tex]a^{2} = b^{2} + c^{2} - 2\;b\cdot c\cdot \cos{A}[/tex].
[tex]\displaystyle \begin{aligned}a &= \sqrt{b^{2} + c^{2} - 2\;b\cdot c\cdot \cos{A}}\\&=\sqrt{21^{2} + 30^{2} - 2\times 21\times 30 \times \cos{123\textdegree}}\\&=45.0 \end{aligned}[/tex].
18For triangle ABC:
[tex]a = 14[/tex],[tex]b = 9[/tex], [tex]c = 6[/tex], andAngle B is to be found.Start by finding the cosine of angle B. Apply the law of cosine.
[tex]b^{2} = a^{2} + c^{2} - 2\;a\cdot c\cdot \cos{B}[/tex].
[tex]\displaystyle \cos{B} = \frac{a^{2} + c^{2} - b^{2}}{2\;a\cdot c}[/tex].
[tex]\displaystyle B = \cos^{-1}{\left(\frac{a^{2} + c^{2} - b^{2}}{2\;a\cdot c}\right)} = \cos^{-1}{\left(\frac{14^{2} + 6^{2} - 9^{2}}{2\times 14\times 6}\right)} = 26.0\textdegree[/tex].
15For triangle DEF:
The length of segment DF is to be found, The length of segment EF is 9, The sine of angle E is [tex]\sin{64\textdegree}}[/tex], andThe sine of angle D is [tex]\sin{39\textdegree}[/tex].Apply the law of sine:
[tex]\displaystyle \frac{DF}{EF} = \frac{\sin{E}}{\sin{D}}[/tex]
[tex]\displaystyle DF = \frac{\sin{E}}{\sin{D}}\cdot EF = \frac{\sin{64\textdegree}}{39\textdegree} \times 9 = 12.9[/tex].
Related Questions
A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3 units. How many 1/3 ?unit cubes does it take to fill the prism?
Answers
Answer:
135
Step-by-step explanation:
The little cubes with side length 1/3 unit have volume (1/3 unit)³ or (1/27 unit)³. Divide the prism volume (5 units³) by (1/27 units³) to determine how many little cubes are required to fill the prism:
5 units³
--------------- = 135 little cubes.
1/27 unit
Note: This assumes that the dimensions of the prism are such that there is no wasted space when all these little cubes are packed inside. For example, if the width of the prism were 3, then we assume that 3 little cubes would fit that particular dimension.
There are 135 cubes in the cube with a volume of 5 cubic units and the small cube has a side length of 1/3 unit.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
As we know, the volume of the cube = side³
The volume of the rectangular prism = 5 cubic units
The volume of the small cube with side lengths of 1/3 unit is:
= (1/3)×(1/3)×(1/3)
= 1/27
The number of cubes in the big cube = 5/(1/27)
= 5×27
= 135 cubes
Thus, there are 135 cubes in the cube with a volume of 5 cubic units and the small cube has a side length of 1/3 unit.
Learn more about the cube here:
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Sarah, a self employed blogger, has adjusted gross earnings of $45,162 this year. Find the amount of social security and Medicare taxes paid by Sarah
Answers
Answer:
Social Security = 5600.09, Medicare = 1309.70
Step-by-step explanation:
If m<BEG = (19x + 3)° and m<EGC = (m<GCB + 4x)°, which of the following statements is true about quadrilateral BEGC? Select all that apply.
A. x=4
B. m<BEG = 72°
C. m<EGC = 120°
D. m<GCB + m<CBE = 180°
E. m<BEG + m<EGC = 230°
F. The sum of all exterior angles of BEGC is equal to 360°.
Answers
Answer:
The sum of all exterior angles of BEGC is equal to 360° ⇒ answer F only
Step-by-step explanation:
* Lets revise some facts about the quadrilateral
- Quadrilateral is a polygon of 4 sides
- The sum of measures of the interior angles of any quadrilateral is 360°
- The sum of measures of the exterior angles of any quadrilateral is 360°
* Lets solve the problem
- DEGC is a quadrilateral
∵ m∠BEG = (19x + 3)°
∵ m∠EGC = (m∠GCB + 4x)°
∵ The sum of the measures of its interior angles is 360°
∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360
∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ add the like terms
∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ -3 from both sides
∴ 23x + 2m∠GCB + m∠CBE = 375
∵ The sum of measures of the exterior angles of any quadrilateral is 360°
∴ The statement in answer F is only true
Answer:
F
Step-by-step explanation:
Janet can do a job in 3 hours while Garry can do the same job in 2 hours. If Janet works for an hour before Garry began helping her, how long will it take them to finish the job together?
Answers
Answer:
4/5 hour (48 minutes)
Step-by-step explanation:
Janet works at the rate of ...
(1 job)/(3 hours) = (1/3) job/hour
So, in 1 hour, she has worked 1/3 of the job, leaving 2/3 of the job remaining when Garry shows up.
Garry works at the rate of ...
(1 job)/(2 hours) = 1/2 job/hour
So, together they work at the rate of ...
(1/3 job/hour) + (1/2 job/hour) = (2/6 +3/6) job/hour = 5/6 job/hour
Then the time it takes to do the remaining 2/3 job is ...
(2/3 job)/(5/6 job/hour) = (2/3·6/5) hour = 4/5 hour
It will take 4/5 hour for them to finish the job together.
Answer: 4/5 of an hour or 48 minutes
Step-by-step explanation:
Janet's Rate : 1 job / 3 hours = 1/3 job/hour
In 1 hour, 1/3 of the job is already finished by her, so there is 2/3 of the job left.
Garry's Rate:
1 job / 2 hours = 1/2 job/hour
Janet an Garry's Rate:
1/3 job/hour + 1/2 job/hour = 2/6 +3/6 job/hour = 5/6 job/hour
Time to do remaining 2/3 of job:
2/3 job / 5/6 job/hour = 2/3 * 6/5 hour = 4/5 hour
Answer:
It will take 4/5 of an hour for them to finish the job together.
I Hope This Helps!
Determine whether the sequence is arithmetic, geometric, both, or neither. 1, 4, 9, 16, 25, . . .
Answers
Answer:
neither
Step-by-step explanation:
First differences are 3, 5, 7, 9, and the differences of these (2nd differences) are constant at 2. The degree of the polynomial function describing the sequence is equal to the number of the differences that are constant. Here, that is 2nd differences, so the sequences is described by a 2nd-degree (quadratic) polynomial.
It is not linear (arithmetic) or exponential (first differences have a common ratio).
Identify the following series as arithmetic, geometric, both, or neither.
3a + 3a² + 3a³ + . . . + 3an
arithmetic
geometric
both
neither
Answers
Answer:
It is a Geometric series.
Step-by-step explanation:
It has a common ratio equal to a:
3a^2 / 3a = a, 3a^3 / 3a^2 = a and so on..
It is a Geometric series.
Answer with explanation:
The given series is:
[tex]3 a + 3 a^2 + 3 a^3 + . . . + 3 a^n[/tex]
If you will try out to find out the ratio of
[tex]\rightarrow\frac{\text{Second term}}{\text{First term}} {\text{or}}\frac{\text{Third term}}{\text{Second term}} {\text{or}} \frac{\text{Fourth term}}{\text{Third term}} ........\\\\ \rightarrow\frac{3a^2}{3a}=\frac{3a^3}{3a^2}=\frac{3a^4}{3a^3}=......=a[/tex]
The Ratio of Succeeding term to it's preceding term in the given sequence is constant equal to a.
So, if any Sequence follows this kind of rule or pattern we call it Geometric Progression.
Option B:→ Geometric
The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Check all that apply. a x2 + 2x – 24 = 0 b x(x + 2) = 24 c x2 + (x + 2)2 = 100 d 0.5(x)(x + 2) = 24 e x2 + 2x – 48 = 0 f x2 + (x + 2)2 = 24
Answers
Given : A = 24 sq feet
A = 0.5 base x height
base = x , height = x+2
A = 0.5 x(x+2) = 24 sq feet
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
To check the rest un-wrap the bracket:
x^2 + (x+2)^2 = 24
x^2 + x^2 + 4 + 4x = 24
2x^2 + 4x - 20 = 0
x^2 + 2x - 10= 0 (NO)
Likewise:
x^2 + (x+2)^2 = 100
x^2 + x^2 +4 + 4x = 100
2x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
3) x^2 + 2x - 48 = 0 (F)
To sum up: that's what apply:
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
3) x^2 + 2x - 48 = 0 (F)
Please help me out please
Answers
Answer:
z = 99°
Step-by-step explanation:
y = 0.5 × 96° = 48° ( inscribed angle subtended on same arc )
x = 0.5 × 66° = 33° ( inscribed angle subtended on same arc )
The sum of the 3 angles in the triangle = 180°, hence
third angle = 180° - (48 + 33)° = 180° - 81° = 99°
z = 99° ( vertical angle )
Check
96° + 99° + 66° + 99° = 360°
Jaquan enlarged triangle A proportionally. He made each side 6 times as long. Use the drop-down menus to complete the statements below.
Answers
Answer:
18 and 6
Step-by-step explanation:
The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3 5 6 cm. What is the volume of the prism?
Answers
Answer:
138 cm³
Step-by-step explanation:
Given in the question that base of the rectangular prism = 36 cm²
Height of the prism = 3 5/6 cm = 23/6
We know that the volume of a rectangular prism with base area B and height H is given by
Volume = B(H)Plug values in the formula above to find the volume of the prism
Volume = 36(23/6)
= 6(23)
= 138 cm³
So the volume of prism = 138 cm³
Answer:
108 cm³, 138 cm³, 180 cm³, 216 cm³
Step-by-step explanation:
I'm not if you meant to calculate three possible volumes for the prism, for heights of 3, 5 and 6 cm or if it was meant as 3 5/6... so I prepared you all the answers below.
Normally, the volume of a prism is calculated with Length x Width x Height. The (Length x Width) part is form the base of the prism. Since we already have that base measurement, we'll use the formula: Base x Height
So, if you meant 3 different calculations (for heights 3, 5 and 6 cm):
V = Base x Height
For a height of 3 cm, we have: V = 36 x 3 = 108 cm³
For a height of 5 cm, we have: V = 36 x 5 = 180 cm³
For a height of 6 cm, we have: V = 36 x 6 = 216 cm³
If however, you meant a single measure with 3 5/6:
For a height of 3 5/6 cm (23/6), we have: V = 36 x 23/6 = 6 * 23= 138 cm³
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B). P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.
Answers
Answer:
P(Male or Type B) > P(Male | Type B)
Step-by-step explanation:
Total Female = 85 type A, 12 type B ⇒ 97 Female.
Total Male = 65 type A, 38 type B ⇒ 103 Male
Total type A = 65 + 85 = 150
Total type B = 12 + 38 = 50
total number of people = 97 + 103 = 200
Then the probability would be:
P(Male | Type B) = [tex]\frac{number of male in B}{total number of male}[/tex]
= [tex]\frac{38}{103}[/tex]
= 0.368
P(Male or Type B) = [tex]\frac{total number of male + (total number of people in B - total number of male in B)}{total number of male}[/tex]
= [tex]\frac{103 + (50 - 38)}{200}[/tex]
= [tex]\frac{103 + 12}{200}[/tex]
= [tex]\frac{115}{200}[/tex]
= 0.575
Hence, P(Male or Type B) > P(Male | Type B)
Please help!!! I need it fast! PLEASE!!!
Answers
Answer:
The points you need to graph are (-4,0) (-1,9) (2,0)
Step-by-step explanation:
Hope this helps!
this is a simple trig problem please provide an explanation ty
Answers
Answer:
[tex] \tan(35) = \frac{x}{40} \\ 40 \tan(35 ) = x \\ 28 = x \\ now \: to \: find \: h \\ h = x + 5 \\ h = 28 + 5 \\ h = 33 \: ft. [/tex]
Choice B
Step-by-step explanation:
Tangent is opposite divided by adjacent. You use tangent because they told you the student stands 40 ft. away from the base of the flag pole (adjacent side) and you need to find the opposite side which I called x. When I'm talking about sides it's in reference to the 35 degree angle that is given.
Google soh cah toa for an explanation if you need more help.
I hope this helps. This is what you do when you are bored on a Friday night lol.
If all the possible results are equally likely, what is the probability that a spin of the spinner will land on an upper case letter or g or f?
Answers
Answer: 1/3 or 1 out of 3 times
Step-by-step explanation: It seems as though there are only three options for it to land on, Upper case, g, and f-therefore you have a 1 in 3 chance for each
A bag contains blue yellow red and orange blocks. Tai randomly chose a block from the bag. Recorded the color and then put it back. He did this 10 times. He chose 6 blue, 2 yellow, 1 red and 1 orange
A.) based on Tais results, find the experimental probability of selecting a blue block and the experimental probability of selecting a red block?
B.) he dumped out the blocks to find 16 blue, 10 yellow, 8 red, and 6 orange blocks. What is the theoretical probability of selecting a blue block? A red?
C.) are the experimental probabilities you found in “A” equal to the ones you found in “B”? Explain why or why not.
D.) If he randomly selects 200 blocks from the bag(replacing before grabbing a new one) about how many times can he expect to grab each color?
Answers
Answer:
A)
Blue: [tex]\frac{6}{10} =\frac{3}{5}[/tex]
Red: [tex]\frac{1}{10}[/tex]
B)
Blue: [tex]\frac{16}{40} =\frac{2}{5}[/tex]
Red: [tex]\frac{8}{40} =\frac{1}{5}[/tex]
C)
No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.
D)
Blue: 80
Yellow: 50
Red: 40
Orange: 30
There are 400 rice weevils at the beginning of an insect study. The population is expected to grow at a rate of 150% each week.
a.) Write and simplify a formula that can be used to predict the rice weevil population for any week after the beginning of the study.
b.) Use the formula to predict the rice weevil population 10 weeks after the beginning of the study. Show your work.
c.) Use the formula to predict when the rice weevil population will reach 1,000,000,000. Show your work.
Answers
Answer:
Part a) [tex]y=400(2.5)^{x}[/tex]
Part b) [tex]3,814,697\ rice\ weevil\ population[/tex]
Part c) [tex]16.1\ weeks[/tex]
Step-by-step explanation:
Part a) Write and simplify a formula that can be used to predict the rice weevil population for any week after the beginning of the study
we know that
100%+150%=250%=250/100=2.5
In this problem we have an exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
y ----> is the rice weevil population
x ----> the number of weeks
In this problem
a=400 rice weevils
b=2.5
substitute
[tex]y=400(2.5)^{x}[/tex]
Part b) Use the formula to predict the rice weevil population 10 weeks after the beginning of the study. Show your work
we have
[tex]y=400(2.5)^{x}[/tex]
so
For x=10 weeks
substitute
[tex]y=400(2.5)^{10}=3,814,697\ rice\ weevil\ population[/tex]
Part c) Use the formula to predict when the rice weevil population will reach 1,000,000,000.
we have
[tex]y=400(2.5)^{x}[/tex]
so
For y=1,000,000,000 rice weevil population
substitute in the formula and solve for x
[tex]1,000,000,000=400(2.5)^{x}[/tex]
Simplify
[tex]2,500,000=(2.5)^{x}[/tex]
Apply log both sides
[tex]log(2,500,000)=x*log(2.5)[/tex]
[tex]x=log(2,500,000)/log(2.5)=16.1\ weeks[/tex]
A function assigns the values. The number of weeks it will take for the population of 400 to be 1,000,000,000 is 16.1 weeks.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) Given there are 400 rice weevils at the beginning. And the population is expected to grow at a rate of 150% each week. Therefore, the function that can represent the population can be written as,
Population after n weeks = 400×(1+1.5)ⁿ = 400×(2.5)ⁿ
where n is the number of weeks.
B.) The population of the rice weevils after 10 weeks will be,
Population after 10 weeks = 400×(2.5)¹⁰ = 3,814,697.266 ≈ 3,814,697
C.) The time needed for the population to reach 1,000,000,000 will be,
1,000,000,000 = 400(2.5)ⁿ
2,500,000 = 2.5ⁿ
n = 16.0776 ≈ 16.1 weeks
Hence, the number of weeks it will take for the population of 400 to be 1,000,000,000 is 16.1 weeks.
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Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?
Answers
The inequality that can be used to find the interval of time in which the stick reaches a height of more than 8 feet is -[tex]16t^2 + 48t > 8[/tex]
To solve this inequality, let's rearrange it:
-[tex]16t^2 + 48t - 8 > 0[/tex]
Now, we have a quadratic inequality. To solve it, we'll first find the critical points by setting the expression equal to zero:
[tex]-16t^2 + 48t - 8 = 0[/tex]
Now, we'll use the quadratic formula to find the roots:
[tex]t = [ -b ± √(b^2 - 4ac) ] / (2a)[/tex]
Where a = -16, b = 48, and c = -8.
Plugging in these values, we get:
[tex]t = [ -48 ± √(48^2 - 4(-16)(-8)) ] / (2(-16))[/tex]
[tex]t = [ -48 ± √(2304 - 512) ] / (-32)[/tex]
[tex]t = [ -48 ± √(1792) ] / (-32)[/tex]
[tex]t ≈ [ -48 ± 42.35 ] / (-32)[/tex]
Now, we have two critical points:
t1 ≈ (-48 + 42.35) / (-32) ≈ 0.186
t2 ≈ (-48 - 42.35) / (-32) ≈ 2.814
Now, we'll test intervals between and outside these critical points to determine when the inequality is satisfied:
For t < 0.186: The quadratic term dominates, leading to a negative value.
For 0.186 < t < 2.814: The quadratic term dominates, leading to a positive value.
For t > 2.814: The linear term dominates, leading to a negative value.
So, the solution to the inequality is 0.186 < t < 2.814.
Thus, the stick reaches a height of more than 8 feet between approximately 0.186 seconds and 2.814 seconds.
Complete question:
Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?
What is the surface area of the sphere below?
Answers
Answer:
The correct answer is option B. 100π units²
Step-by-step explanation:
Formula:-
The surface area of a sphere = 4πr²
Where r is the radius of sphere
To find the surface area of given sphere
Here r = 5 units
Surface area = 4πr²
= 4 * π * 5²
= 4 * π * 25 = 100π units²
Therefore the correct answer is option B. 100π units²
Question :-
What is the surface area of the sphere that has a radius of 5 units?Answer :-
The surface area of the sphere is 100π units². Thus, the 2nd option, B makes it as the correct answer.[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{5 \: units}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the sphere is 5 units. We have been asked to find or calculate the surface area of the sphere.
To calculate the surface area of the sphere, we will apply the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area :-
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4 \times \pi \times \: (5 \: units)^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (5 \: units)^2 \times 4 \times \pi[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 25 \: units^2 \times 4 \times \pi[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 100 \: units^2 \times \pi[/tex]
[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 100\pi \: units^2}[/tex]
Therefore :-
The surface area of the sphere is 100π units². Thus, the 2nd option, B makes it as the correct answer.[tex]\\[/tex]
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Find the value of the variable if P is between J & K.
JP = 2x ; PK = 7x ; JK = 27
a. 2
b. 5
c. 9
d. 3
Answers
Answer:
D
Step-by-step explanation:
well you see I just guessed :D
Please help me out with this
Answers
Answer:
10.8 ft
Step-by-step explanation:
The height from the base can be found from the formula for the volume. Fill in the given information and solve for the height.
V = (1/3)Bh = (1/3)s²·h
432 ft³ = (1/3)(12 ft)²·h . . . . . fill in side length and volume
h = 432 ft³/(48 ft²) = 9 ft . . . divide by the coefficient of h
The slant height is the hypotenuse of a right triangle with this height as one leg and half the side length as the other leg.
slant height = √((9 ft)² +(12 ft/2)²) = √(117 ft²) = 3√13 ft
slant height ≈ 18.817 ft ≈ 18.8 ft
Which of the following statements about taxes is false?
Three taxes are deducted from your paycheck: federal income tax, state income tax (if applicable) and FICA.
Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed.
The primary taxes on consumption are sales tax and excise tax.
Taxes on wealth and property include property tax, taxes on inheritance, estate taxes and gift taxes.
Answers
Answer:
Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed.
Step-by-step explanation:
portfolio income refers to income generated by selling an investment tool at a higher price than that which was paid for. As such it is taxable which makes the statement;
Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed, False
The following statements about taxes are True;
Three taxes are deducted from your paycheck: federal income tax, state income tax (if applicable) and FICA.
The primary taxes on consumption are sales tax and excise tax.
Taxes on wealth and property include property tax, taxes on inheritance, estate taxes and gift taxes.
Answer:
Not all types of income are taxed
Step-by-step explanation:
You mow the lawn to earn your allowance. Each time you mow the lawn you earn $12. Write an equation for the number of dollars, d, you earn when you mow the lawn m times. How many dollars will you earn if you mow the lawn 10 times?
Answers
Answer:
Equation: D=12m Answer: $120
Step-by-step explanation:
Since D equals earnings it would be the total.
Since M equals lawns mowed it would be the number you did.
So 10=M
12(10)=120
Please help me out please
Answers
Answer:
x = 11
Step-by-step explanation:
24/(3x-3) = 44/(5x)
120x = 132x - 132
-12x = -132
x = 11
Which of the following infinite series has a finite sum? Explain your reasoning.
a. 1.5+3+6+12+...
b. 2+8+32+128+...
c. 4+4.2+4.4+4.6+...
d. 20+10+5+2.5+...
Answers
Answer:
d. 20+10+5+2.5+...
Step-by-step explanation:
No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.
Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)
Select the correct answer.
Which angle measure less than or equal to 360° is equivalent to an angle of ?
Answers
Answer:
Can I have the options? Then I would be glad to answer
Step-by-step explanation:
Answer:
The awnser for plato users is 45 degrees. which is (A)
Step-by-step explanation:
8 / 4 * 5 is 20 according to the calculator.
8 / 4 * 5 is 2/5 according to PEMDAS.
Someone explain which one is correct?
Answers
Answer:
the answer is 10. you go left to right since the equation falls under the peMdas part
Which correctly completes this number sentence?
3 × 9 = (3 × 5) + __________
A)(5 × 9)
B)(3 × 4)
C)18
D)(9 - 5)
Answers
The answer is B
3x4=12
3x5=15
9x3= 27
B) 3x9= (3x5) + (3x4)
The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube?
Recall The Formula: Cube V = S^3
A. S= [tex] \sqrt[3]{27} [/tex]
B. S= 3+3+3
C. S= [tex] \sqrt{27} [/tex]
D. S= 3 times 3 times 3
Answers
Answer:
s ^3sqrt27 or A
Step-by-step explanation:
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Which exponential function/geometric sequence matches the graph?
Answers
Answer: D) y = 2ˣ
Step-by-step explanation:
The graph is the shape of exponential growth. The only option that satisfies this is D.
A) y = - (1/2)ˣ is a reflection over the x-axis of exponential decay
B) y = (1/2)ˣ is exponential decay because (1/2) < 1
C) y = - 2ˣ is a reflection over the x-axis of exponential growth
D) y = 2ˣ is exponential growth
Molly and Arthur are taking their daughter Ginny on a roller coaster ride. For safety, they need to find their total weight before getting into the same car. Molly's weight is MMM kilograms, Arthur's weight is AAA kilograms, and Ginny's weight is GGG kilograms.
Answers
Answer:
mmm+aaa+ggg=thier total weight
Step-by-step explanation:
his added to hers added to the kid is the total weighti of the three
is there something you forgot to include?
Answer:
This is the real answer I got it right
Step-by-step explanation:
from top to bottom
a
g+m
g
m+a
your welcome