Answer:
The measures would be 30, 60, and 90 degrees.
Step-by-step explanation:
60 is 30 more than 30, and 90 is the sum of 30 and 60. Also the sum of the measures of triangle is always 180, and 30 + 60 + 90 = 180.
If One angle of a triangle is 30 degrees more than the smallest angle. The largest angle is the sum of the other angles. Then 30, 60 and 90 are
measures of all three angles.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
One angle of a triangle is 30 degrees more than the smallest angle.
x=30+y
The largest angle is the sum of the other angles
z=x+y
By angle sum property the sum of three angles is 180 degrees
x+y+z=180
30+y+y+z=180
30+y+y+30+y+y=180
60+4y=180
Subtract 60 from both sides
4y=120
Divide 4 on both sides
y=30
Now substitute y value in x
x=60
z=90
Hence the measure of all three angles are 30,60 and 90 degrees.
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Please help me with this
Height = SQRT(30^2 - 8^2)
Height = SQRT(900-64)
Height = SQRT(836)
Height = 28.9 feet
Will mark brainliest if right...
Given two functions
j(x)=−4x+2
k(x)=5+4x
What is the function rule for (kj)(x)?
A. (kj)(x)=−16x2−12x+10
B. (kj)(x)=16x2+12x−10
C. (kj)(x)=16x2−12x−10
D. (kj)(x)=−16x2+12x+10
Answer:
(kj)(x)= -16x^2- 12x +10
Step-by-step explanation:
Answer:
Option A is correct
[tex](kj)(x)=-16x^2-12x+10[/tex]
Step-by-step explanation:
Given the functions are as follows:
[tex]j(x) = -4x+2[/tex]
[tex]k(x) = 5+4x[/tex]
We have to find (kj)(x).
Consider,
[tex](kj)(x) = k(x)j(x)[/tex]
Substitute the given values we have;
[tex](kj)(x) = (5+4x)(-4x+2)[/tex]
Using distributive property, [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
[tex](kj)(x)=-20x+10-16x^2+8x[/tex]
Combine like terms;
[tex](kj)(x)=-12x+10-16x^2[/tex]
or
[tex](kj)(x)=-16x^2-12x+10[/tex]
Therefore, the function rule for (kj)(x) is, [tex]-16x^2-12x+10[/tex]
On January 1, 2018, Corvallis Carnivals borrows $25,000 to purchase a delivery truck by agreeing to a 6%, three-year loan with the bank. Payments of $760.55 are due at the end of each month, with the first installment due on January 31, 2018. Record the issuance of the note payable and the first monthly payment.
To record the issuance of the note payable and the first monthly payment, create a debit entry for the delivery truck and credit entry for the notes payable. Then, debit the notes payable to reduce the amount owed and credit the cash for the same amount to show the outflow of cash.
Explanation:To record the issuance of the note payable and the first monthly payment, we will first create an entry to record the note payable on January 1, 2018. We will debit the Delivery Truck account for $25,000 and credit the Notes Payable account for the same amount. This represents the borrowing of the $25,000.
Next, we will record the first monthly payment on January 31, 2018. We will debit the Notes Payable account for $760.55 to reduce the amount owed, and credit the Cash account for the same amount to show the outflow of cash.
Solve for W.
4w-4+2(5w+8)=-2(w+3)
Simplify your answer as much as possible.
Answer:
w = [tex]-\frac{9}{8}[/tex]
Step-by-step explanation:
The question is [tex]4w-4+2(5w+8)=-2(w+3)[/tex]
We can first use distributive property to simplify, the distributive property is [tex]a(b+c)=ab+ac[/tex]
Thus we have:
[tex]4w-4+2(5w+8)=-2(w+3)\\4w-4+10w+16=-2w-6[/tex]
Now we combine like terms and simplify to get the final answer for w.
[tex]4w-4+10w+16=-2w-6\\14w+12=-2w-6\\14w+2w=-6-12\\16w=-18\\w=\frac{-18}{16}\\w=-\frac{9}{8}[/tex]
Thus, w = [tex]-\frac{9}{8}[/tex]
Answer:
1.125
Step-by-step explanation:
we first open the brackets by multiplying every term inside the brackets by 2
We get the following equation: 4w-4+10w+16=-2w-6
collecting like terms together we get 4w+10w+2w=-6-16+4
16w=-18
dividing both sides by 16 we get w=18/16
=9/8
= 1 1/8 or 1.125
Given that aₙ = (-2) (5)ⁿ⁻1 for a geometric sequence, determine the common ratio:
-5
-2
2
5
Answer:
5
Step-by-step explanation:
The nth term of the geometric sequence is
[tex]a_n=(-2)(5)^{n-1}[/tex]
In general the nth term of a geometric sequence is
[tex]a_n=a_1(r)^{n-1}[/tex]
By comparism;
[tex]r=5[/tex] is the common ratio of the sequence.
Or
[tex]a_1=(-2)(5)^{1-1}=-2[/tex]
[tex]a_2=(-2)(5)^{2-1}=-10[/tex]
Common ratio is
[tex]r=\frac{-10}{-2}=5[/tex]
Who is correct and why? Kayla is correct; the center is a fixed point in the middle of the sphere. Kayla is correct; the center is a line segment from the center to the surface of the sphere. Raymond is correct; the radius is the fixed point in the middle of the sphere. Raymond is correct; the radius is a chord that is from the center to the surface of the sphere.
Answer:
Kayla is correct; the center is a fixed point in the middle of the sphere.
Answer:
Kayla is correct; the center is a fixed point in the middle of the sphere
Step-by-step explanation:
To understand the solution we need to understand what a sphere is.
What is Sphere?
Sphere is a 3 dimensional solid where every point is equidistant from the center.
what is center and radius?
Center is the point in the middle
radius is the line joining any point on the surface to the center of the sphere
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What is the surface area of the rectangular prism, if its length is 17 meters?
114 m 2
114 m3
182 m 2
182 m3
see image
Two sides are 3 by 2 = 2 x 3 x 2 = 12 square m.
Two sides are 17 by 2 = 2 x 17 x 2 = 68 square m.
Two sides are 17 by 3 = 2 x 17 x 3 = 102 square m.
Total = 12 + 68 + 102 = 182 m²
Answer:
114m 2
Step-by-step explanation:
A musical accessory supply company manufactures a guitar string with an average diameter of 0.026 inches. The actual diameter never varies by more than 0.002 inches
Answer:
yes the first step is
Step-by-step explanation:
Answer: a- |x - 9.5| ≤ 1.5
b- x - 9.5 ≤ 1.5
x - 9.5 + 9.5 ≤ 1.5 + 9.5
x ≤ 11
Step-by-step explanation:
Use the x-intercept method to find all real solutions of the equation.
x^3-12x^2+39x-28=0
Answer:
d. [tex]x=1,4,\:or\:7[/tex]
Step-by-step explanation:
The given equation is
[tex]x^3-12x^2+39x-28=0[/tex]
To find all real solutions using the x-intercept method, we to graph the corresponding function using a graphing tool.
The corresponding function is;
[tex]f(x)=x^3-12x^2+39x-28[/tex]
The real solutions to [tex]x^3-12x^2+39x-28=0[/tex], are the x-intercepts of the graph of the corresponding function.
From the graph the x-intercepts are
(1,0),(4,0) and (7,0).
Therefore the real solutions are
[tex]x=1,4,\:or\:7[/tex]
MARKING BRAINLIEST! What is 14 x 90 divided by 200
This is through multiplication and division.
Remember your order of operations!
Answer: 6.3
Good luck!
-RxL
Answer:
The answer is 6.3
Step-by-step explanation:
14 x 90 divided by 200 = 14*90/200
= 7*9/10
= 6.3
Based on the data you collected, what can you conclude about the sum of the angles of all triangles?
The sum of the angle measures of a triangle is what in Degrees
Answer:
180°
Step-by-step explanation:
The measures of the angles in the triangle shown are ...
81.87°, 60.26°, 37.87°
The sum of those measures is ...
81.87° + 60.26° + 37.87° = 180.00°
Write an equivalent exponential equation for:
[tex]log_{2} (\frac{1}{4} ) = -2[/tex]
Answer: [tex]\frac{1}{4}=2^{(-2)}[/tex]
Step-by-step explanation:
You know that an expression written is logarithmic form is:
[tex]x=log_b(y)[/tex]
And an expression equivalent to the expression above that is written in exponential form is:
[tex]y=b^x[/tex]
Therefore, keeping the information above on mind, you have that an equivalent exponential equation for [tex]log_{2}(\frac{1}{4}) =-2[/tex] , is the shown below:
[tex]\frac{1}{4}=2^{(-2)}[/tex]
Answer:
[tex]\frac{1}{4} =2^{-2}[/tex]
Step-by-step explanation:
We are given the following expression and we are to write an equivalent exponential equation for it:
[tex] log_2 (\frac { 1 } { 4 } ) = - 2 [/tex]
We know that the standard form of a logarithmic expression is given by:
[tex] y = log_a ( x ) [/tex]
which is equivalent to the exponential form [tex] x = a ^ y [/tex].
Therefore, for the given expression, the equivalent exponential equation will be:
[tex] \frac { 1 } { 4 } = 2 ^ { - 2 } [/tex]
What is the solution to the following system of equations? 2x+3y=4 x+y=3
Answer:
(5, -2)
Step-by-step explanation:
x + y = 3 can become x = 3-y
we are going to use substitution
now plug x = 3-y into the other equation
2(3-y) + 3y = 4
6-2y+3y = 4
6 + y = 4
subtract 6 from both sides
y = -2
now plug in y back into one of the equations, it doesn't matter which one. I am going to use the x + y = 3 equation
x -2 = 3
x = 5
find all the zeros of the equation 27x^2-324=-x^4
Answer:The answer is -3 and 3. You can do this by using a graphing calculator and plugging in the equation.
Answer:
3, -3, 6i, -6i
Step-by-step explanation:
4/5n = 2/3 . n = ___?
Answer:
Step-by-step explanation:
Divide 2/3 by 4/5
Which is done by K(eep)C(hange)F(lip)
2/3 * 5/4 = 10/12 = 5/6
N= 5/6
Here is how we do it:
First, we must simplify 4/5n to 4n/5.
Then we simplify: [tex]2/3n[/tex] to get [tex]2n/3.[/tex]
After we multiply both sides by the number 15.
[tex]12n = 10n[/tex]
Alright, now let's move them all together.
It would be: [tex]12n - 10n = 0[/tex]
Our last step is to simplify 12n - 10n to 2n.
Then we receive: [tex]2n = 0[/tex]
After we divide both sides by 2.
Our final answer is: [tex]n = 0[/tex]
Which of the following is a measurement of the space between two objects?
Miles
Area
Pounds
Circumference
Answer:
Miles
Like asking what measures distance between a lake and a city.
Find the measure of the numbered angles in the rhombus. The diagram is not drawn to scale.
The measure of angles in a rhombus can be found understanding the properties of a rhombus (i.e., opposite angles are equal and adjacent angles are supplementary) and possibly applying trigonometry in which angles are not aligned in regular horizontal or vertical manner. Specific measurements can be obtained using a protractor.
Explanation:To find the measure of the numbered angles in the rhombus, you need to understand the geometric properties of a rhombus. The opposite angles of a rhombus are equal, and the adjacent angles are supplementary, meaning they add up to 180 degrees. Further, the diagonals of a rhombus bisect its angles, and they are perpendicular to each other, forming 90-degree angles where they intersect.
Clearly, the exact measures of the angles will depend on the specific information provided about the rhombus in your diagram. Here are some steps on how you might determine these measures:
Measurement: Using a protractor, measure the angles provided by the question. Remember to measure correctly from the given angle vertex. Consider the properties of a Rhombus: If the measure of one angle is given, you can determine the measures of the other angles using the properties of a rhombus mentioned above. Application of Trigonometry: In case the rhombus is rotated, or angles aren't aligned horizontally or vertically, you may need to apply trigonometry to determine the angle measures. Learn more about Measure of Angles in Rhombus here:
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Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? In 2 1/2hours?
Answer: 5 km and 25 km
Find the slope intercept equation that passes through (-1,2) and is perpendicular to the line with the equation 6y-x=12
6y - x = 12 //Solve for y.
6y = x + 12
y = x/6 + 2
Slope = m = 1/6
For the second which is perpendicular to line one has a slope of -6.
NOTE: Perpendicular line has negative reciprocal slope. 1/6 negative reciprocal would be -6.
Second line:
m = -6
point = (-1,2)
y - y1 = m(x - x1) //Plug in m and point in place of (x1,y1).
y - 2 = -6(x - -1)
y - 2 = -6x -6
y = -6x -6 +2
y = -6x - 4
//Hope it helps
PLEASE HELP ME OUT..........
I got your answer right my guy X=12
What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? (0,–6) (0,12) (–8,0) (2,0)
Answer:
(0,12)
Step-by-step explanation:
Just plug in 0 for x so (0-6)(0-2) = 12 so that's the y value.
Also, a y intercept has to be of the form (0,y) where y is some number. The x value has to be 0, so that eliminates the last two options automatically, but if we put the x and y value we got together we get (0,12)
Answer:
(0,12)
Step-by-step explanation:
[tex]f(x) = (x - 6)(x - 2)[/tex]
To find out y intercept , plug in 0 for x and find out f(0)
y intercept are the value where the graph crosses y axis
[tex]f(x) = (x - 6)(x - 2)[/tex]
[tex]f(0)= (0-6)(0 - 2)=12[/tex]
When x is 0 the value of y is 12
Write y intercept as (0,y) that is (0,12)
The tuition at a college increased from 50,000 in 2006 to to 59,000 in 2007. What is the percent increase in tuition
Answer:
18%
Step-by-step explanation:
18% is the percent increase in tuition fees.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, The tuition at a college increased from 50,000 in 2006 to 59,000 in 2007.
From the general formula of percentage change,
percentage change = change in value/original value * 100
In our case,
original value = 50,000
change in value = 59,000 - 50,000
change in value = 9,000
thus,
Percentage change = 9,000/50,000 *100
Percentage change = 18%
Therefore, the percent increase in tuition fees is 18%.
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The radius of the containers base is 5 centimeters and the height of the container is 18 centimeters. What is the volume of the nadyas container rounded to the nearest cubic centimeter
The volume of Nadya's container, calculated using the formula for the volume of a cylinder and rounded to the nearest cubic centimeter, is 1414 cubic centimeters.
Explanation:The volume of Nadya's container can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where V represents volume, r represents the radius of the base, and h represents the height. Given that the radius of the container's base is 5 centimeters and the height of the container is 18 centimeters, substituting these values into the formula gives you V = π(5)²(18) = 1413.72 cubic centimeters. Rounded to the nearest cubic centimeter, the volume is 1414 cubic centimeters.
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A probability experiment is conducted in which the sample space of the experiment is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F={5, 6, 7, 8, 9}, and event G={9, 10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. F or G = { _____ }(Use a comma to separate answers as needed.)B. F or G = { }Find P(F or G) by counting the number of outcomes in F or G. P(F or G) =________(Type an integer or a decimal rounded to three decimal places as needed.)Determine P(F or G) using the general addition rule. Select the correct choice below and fill in any answer boxes within your choice.(Type the terms of your expression in the same order as they appear in the original expression. Round to three decimal places as needed.)A. P(F or G)=_______+_______−________=_______B. P(F or G)=_______+_______=________
Answer:
A) F or G = {5, 6, 7, 8, 9, 10, 11, 12}; B) P(F or G) = 8/12 = 0.667
Step-by-step explanation:
The outcomes in event F are 5, 6, 7, 8 and 9. The outcomes in event G are 9, 10, 11 and 12. This means that the event F or G, containing all elements of both events, will be
{5, 6, 7, 8, 9, 10, 11, 12}. Note that we do not count 9 twice; it only appears in the sample space once. There are 8 elements out of 12 total in the sample space; this means the probability is 8/12 = 0.667.
Using the addition rule, we begin with P(F). There are 5 elements in this event; this makes P(F) = 5/12.
For P(G), there are 4 elements in G; this makes P(G) = 4/12.
To add them, we add P(F) and P(G) but then must take out the element counted twice; this gives us
5/12+4/12-1/12 = 9/12-1/12 = 8/12 = 0.667.
We have that
F&G={5, 6, 7, 8, 9, 10, 11, 12}[tex]P(FG)=0.667[/tex][tex]P(F or G)=5/12+4/12-(1/12)\\\\ P(F or G)=5/12+1/4[/tex]From the question we are told
S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, F={5, 6, 7, 8, 9}G={9, 10, 11, 12}
a)
Generally
The P(F or G) by counting the number of outcomes in F or G is
F&G={5, 6, 7, 8, 9, 10, 11, 12}
b)
P(F or G) using the general addition rule
[tex]P(FG)=\frac{N_f}{N_g}\\\\P(FG)=\frac{8}{12}[/tex]
[tex]P(FG)=0.667[/tex]
c)
Generally Using addition Rue to attain P(F or G) we have
For P(F or G)
[tex]P(F or G)=PF+PG-P(F+G)[/tex]
[tex]P(F or G)=5/12+4/12-(1/12)\\\\ P(F or G)=5/12+1/4\\\\ P(F or G)=\frac{8}{12}[/tex]
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The original price of the shirt is $20 per shirt is on sale for 20% discount how much money did the fire safe because of the discount
Answer:
$4.
Step-by-step explanation:
20x20%= 4.
What are the exact and approximate solutions? (Picture below)
Answer: Option a.
Step-by-step explanation:
- Divide both sides of the expression by 7.8:
[tex]7.8e^{\frac{x}{3}ln5}=14\\\\\frac{7.8e^{\frac{x}{3}ln5}}{7.8}=\frac{14}{7.8}\\\\e^{\frac{x}{3}ln5}=\frac{14}{7.8}[/tex]
- By definition:
[tex]e^y=x[/tex]→[tex]y=ln(x)[/tex]
Then:
[tex]\frac{x}{3}ln5=ln(\frac{14}{7.8})[/tex]
- Now, you must solve for x.
Then, you obtain:
[tex]xln5=3ln(\frac{14}{7.8})[/tex]
[tex]x=\frac{3ln(\frac{14}{7.8})}{ln5}[/tex]≈[tex]1.0903[/tex]
The sum of 4 consecutive odd numbers is 40. What is the greatest of the 4 numbers
Answer:
13
Step-by-step explanation:
The 4 consecutive odd numbers that have a sum of 40 are 13, 11, 9, 7. 13 is the greatest of these numbers.
Hope this helps
Which of the following sampling techniques is the most likely to produce a random sample, representative sample of all students at a high school?
A. Choosing every 10th name on the student roster
B. Choosing every 10th student arriving in a 9th grade homeroom
C. Choosing the first 100 students who arrive at school
D. Asking students to call a phone number to answer survey questions
Answer:
Which of the following sampling techniques is the most likely to produce a random sample, representative sample of all students at a high school?
A. Choosing every 10th name on the student roster
B. Choosing every 10th student arriving in a 9th grade homeroom
C. Choosing the first 100 students who arrive at school
D. Asking students to call a phone number to answer survey questions
Step-by-step explanation:
A random sample is choosing the first 100 students who arrive at school.
What are the different types of sampling techniques ?There are five types of Sampling Techniques
Random sampling is similar to putting everyone's name into a bowl and drawing out random names. Each element has a chance of being called.
Systematic sampling is easier to do than random sampling. In systematic sampling, the list of elements is "counted off". That is, every kth element is taken.
Convenience sampling is very easy to do, but it is the least effective technique to use. In convenience sampling, data that is easily available is used.
Cluster sampling is accomplished by dividing the population into groups usually geographically. These groups are called clusters or blocks. The clusters are randomly selected, and each element in the selected clusters are used.
Stratified sampling also divides the population into groups called strata. However, this time it is by some characteristic, not geographically.
Option C , i.e. Choosing the first 100 students who arrive at school is an example of Random Sampling.
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What is the volume of a cone with a base area of 16pi in squared and a height of 9 in
I think the answer is 144
does anyone know how find the number of meters ?? please help me thank you
Answer:
Step-by-step explanation:
Usain Bolt
Part A
d = 200 m
t = 19.30 seconds
r = d/t
r = 200 / 19.30
r = 10. 36
r = 10.4 m/s
Part B
d = 400 meters
t = 43.18 seconds
r = d/t
r = 400/43.18
r = 9.26 m/s
r = 9.3
Not much difference.
Michael Johnson
Though you have not given us the distance, it was 100 meters. He was the first man to eclipse 9.7 seconds for the 100 meters.
d = 100 m
t = 9.69 seconds
r = 100 meters/9.69 seconds
r = 10.32 m/s
r = 10.3