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Related Questions
an angle's measure is twice the measure of its complement. the larger angle is how many degrees greater than the smaller angle.
Answers
smaller angle = x
larger angle = 2x
x + 2x = 90
3x = 90
x = 90/3
x = 30° ← smaller angle
larger angle = 2x = 2 * 30 = 60°
larger angle - smaller angle = 60° - 30° = 30°
The larger angle is 30 degrees greater than the smaller angle.
In the expression 12 + 7, the values on the right and left of the + symbol are called _____ .
Answers
In the expression 12 + 7, the values on the right and left of the + symbol are called operands.
What are operands?A mathematical object upon which an operator acts.
Given that, an expression 12+7,
In maths, the values that an operator acts on are called operands. In this case, 12+7 are the operands.
Hence, the asked statement is operands.
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How do I solve 8n= -3m + 1 ; n= -2, 2, 4
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n = -2, 2,4
first add -2, 2 and 4 which = 4
then do 8(4) = -3m +1 which makes 24 = -3m +1 so subtract 1 on both sides then you have 23 = -3m divde -3 on both sides which equal -7.66 or 8
let's solve for m first
minus 1 from both sides then divide by -3
[tex]m=\frac{8n-1}{-3}[/tex]
so for n=-2
[tex]m=\frac{8(-2)-1}{-3}=\frac{-16-1}{-3}=\frac{-17}{-3}=\frac{17}{3}[/tex]
when n=-2, m=17/3
for n=2
[tex]m=\frac{8(2)-1}{-3}=\frac{16-1}{-3}=\frac{15}{-3}=-5[/tex]
m=-5 when n=2
for n=4
[tex]m=\frac{8(4)-1}{-3}=\frac{32-1}{-3}=\frac{31}{-3}=\frac{-31}{3}[/tex]
m=-31/3 when n=4
Which of the following is always irrational?
A. the sum of two fractions
B. the product of a fraction and a repeating decimal
C. the sum of a terminating decimal and the square root of a perfect square
D. the product of a repeating decimal and the square root of a non-perfect square
Answers
Answer:
Correct choice is D
Step-by-step explanation:
Option A. The sum of two fractions is a fraction, a fraction is always rational number.
Option B. The product of a fraction and a repeating decimal can be rational number. For example,
[tex]\dfrac{3}{2}\cdot 0.\overline{3}=\dfrac{3}{2}\cdot \dfrac{1}{3}=\dfrac{1}{2}.[/tex]
Option C. The sum of a terminating decimal and the square root of a perfect square is always rational number, because the terminating decimal is a decimal that ends and the square root of a perfect square is a natural number. The product of decimal that ends and natural number is rational number.
Option D. The product of a repeating decimal and the square root of a non-perfect square is always irrational, because the square root of a non-perfect square is irrational number and when multiplying irrational number by fraction (any repeating decimal can be written as fraction) you get irrational number.
Simplify -4/7 + (-4/3)
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- 12/21 - 28/21 = -40/21
your answer is -1 19/21
hope this helps
The cylindrical jar above has a height of 12 centimeters and a radius of 4 centimeters. The jar contains 20 spherical marbles. Each marble has a radius of 0.8 centimeters. Which of the following represents the amount of space in the jar that is not occupied by marbles?
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The volume of the cylindrical jar, the total volume of marbles, and then find the volume not occupied by the marbles.
The volume of the jar:
Volume of the cylindrical jar = πr²h = 3.142 × (4 cm)² × 12 cm = 603.168 cm³
The total volume of the marbles:
Total volume of 20 marbles = 20 × (4/3)π(0.8 cm)³ = 214.717 cm³
The volume not occupied by marbles:
Volume not occupied = Volume of the jar - Total volume of marbles = 603.168 cm³ - 214.717 cm³ = 388.451 cm³
Find the value of tan θ given cot θ=5/7.
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What is the probability of pulling out a green marble from a jar containing 5 red, 6 green, and 4 blue?
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Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16).
What is the y-value of P'?
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Answer:
The answer is -10
Step-by-step explanation:
A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the domain of P
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P = 2L + 2W
Since
A = LW = 64
W = 64/L
Substituting to the formula for perimeter would be,
P = 2L + 2(64/L)
P = 2L + 128/L
A line has a slope of 1/2 and contains the points (3, y) and (5, 7). The value of y is
6 or 3
please explain why or how!
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What is the product of (3√8)(4√3)? Simplify your answer
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_______________________________
The question asks:
_______________________________
"What is the product of (3√8)(4√3)? Simplify your answer/
First, let us simplify: "√8"
"√8 = √4*√2 = 2√2 ;
So, "3√8 = 3*2√2 = 6√2" .
So, "what is the product of "(3√8)(4√3)"?
Rewrite, replacing the "(3√8)" with "6√2" ; as follows:
6√2* 4√3 = 6*4 *√2*√3 = 24 *√(2*3) = 24√6 .
______________________________________
A basketball player scored 29 points in a game. The number of three-point field goals the player made was 29 less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals the player made was 15 more than the number of three-point field goals made. Find the number of free-throws, two-point field goals, and three-point field goals that the player made in the game.
A-10 free throws; 1 two-point field goals; 8 three-point field goals
B-11 free throws; 8 two-point field goals; 4 three-point field goals
C-10 free throws; 9 two-point field goals; 3 three-point field goals
D-10 free throws; 8 two-point field goals; 1 three-point field goals
Answers
let y represent the number of two-point field goal.
let z represent the number of three-point shots made.
Then the correct system of linear equations is as follows:
x + 2y + 3z = 29 (The total number of points scored is 29.)
z = 3x - 29 (The number of 3-pointers was 29 less than 3 times the number of free throws.)
2y = z + 15 (Twice the number of 2-point shots made was 15 more than the number of 3-pointers.)
Solution:
This basketball player scored 10 points via free throws (10 at 1 point each), 16 points via 8 two-point shots made, and 3 points via 1 three-point shots made. So, in the choice its letter D.
Answer:
,
Step-by-step explanation:
The answer is D)
A pet-sitting company charges $25 to board a pet for one day. It also charges all customers an extra $7.50 to trim the pet's nails once per stay.
How much will it cost to board a dog for two weeks?
A.
$57.50
B.
$65.00
C.
$357.50
D.
$455.00
Answers
2 weeks = 14 days
14 * 25 = 350
350 + 7.50 = 357.50
Answer is C
A machine manufactures wheels with a diameter of 70 cm. It is acceptable for the diameter of a wheel to be within 0.02 cm of this value. Write and solve an absolute-value equation to find the minimum and maximum acceptable diameters.
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It is acceptable for the diameter to be within 0.02 cm of the expected value.
Therefore the acceptable values for the diameter, d, are
[tex]d \pm 0.02 = 70[/tex]
The minimum acceptable value of d is obtained from
d + 0.02 = 70
d = 69.98 cm
The maximum acceptable value of d is obtained from
d - 0.02 = 70
d = 70.02 cm
Answer:
Minimum acceptable diameter = 69.98 cm
Maximum acceptable diameter = 70.02 cm
To find the minimum and maximum acceptable diameters for wheels manufactured by a machine with a 70 cm diameter tolerance set within 0.02 cm, an absolute-value equation is used to determine the range of acceptable values.
The question is: A machine manufactures wheels with a diameter of 70 cm, and it can be within 0.02 cm of this value. To find the minimum and maximum acceptable diameters, we need to set up an absolute-value equation.
Let x be the diameter of the wheel.The absolute-value equation is |x - 70| ≤ 0.02.Solving this equation, the minimum acceptable diameter is 69.98 cm, and the maximum acceptable diameter is 70.02 cm.The equation h(t)=−16t2+78t+45 gives the height of a firework, in feet, t seconds after it is launched from a platform. What is the height of the platform? Enter your answer in the box.
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The height of the platform is 45 feet.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation h(t)=−16t² +78t+45 gives the height of a firework
When a firework is launched from a platform, its height at time t=0 seconds is equal to the height of the platform.
To find the height of the platform, we can substitute t=0 into the equation:
h(0) = -16(0)² + 78(0) + 45
h(0) = 0 + 0 + 45
h(0) = 45
Therefore, the height of the platform is 45 feet.
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In buffalo, New York, the temperature was -14F in the morning. If the temperature dropped 7F, what is the temperature now?
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The initial temperature in Buffalo was -14°F. After a drop of 7°F, the new temperature would be -21°F.
Explanation:The student asked: In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now? To solve this, we need to perform a simple subtraction operation. We begin with the initial temperature of -14°F and subtract the temperature drop of 7°F.
The calculation is as follows:
Initial temperature: -14°F
Temperature drop: -7°F
New temperature: -14°F - 7°F = -21°F
Therefore, after the temperature drop, the new temperature in Buffalo would be -21°F.
After the temperature in Buffalo dropped by 7°F from an initial -14°F, the current temperature is now -21°F.
Explanation:In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, to find the current temperature, you subtract 7 from -14. This calculation is as follows:
Starting temperature: -14°FTemperature drop: 7°FCurrent temperature: -14 - 7 = -21°FTherefore, the temperature now in Buffalo is -21°F.
Evaluate a + 6 for a = 10.
a)6
b)16
c)60
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so
10 + 6 = 16
answer
b)16
Since a = 10, you add 10 +6 which equals 16
D: Region D help please .....
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The inequality y >= 3x+2 is the shaded region composed of regions A and D which are above the positive sloped line.
The overlapping region is region D. This region is found in BOTH shaded solution sets of the two inequalities.
This is why region D is the final answer.
Evaluate the expression.
3 x (6^12/6^10)
a) 36
b) 39
c) 92
d) 108
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3 * (6^12 / 6^10) =
3 * 6^(12 - 10) =
3 * 6^2 =
3 * 36 =
108 <==
Which would hold more milk- a liter or a quart? by how much?
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Based on conversion:
1 liter of milk is equivalent to 1.05669 US liquid quart. (1000mL)
While 1 quart of milk is equivalent to 0.946353 liters. (946.353mL)
This concluded that a liter would hold more milk by 0.053647
liters or 53.647 mL.
But if you are talking about an imperial quart, this will hold more milk than a liter. Because its measures 1136 mL which is 136mL bigger than the liter.
A liter holds more milk than a quart by approximately 0.057.
Explanation:A liter holds more milk than a quart.
1 liter is equivalent to approximately 1.057 quarts. Therefore, a liter holds about 0.057 more milk than a quart.
For example, if a quart can hold 4 cups of milk, a liter can hold approximately 4.23 cups of milk.
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what is the expression 13b−13 factored?
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is your answer
hope this helps
you factor a 13 from both of them
Felipe has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. there is a combined total of 800 cans and bottles in his truck. let x be the number of 14 -ounce cans in his truck. write an expression for the combined total weight (in ounces) of the cans and bottles in his truck.
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Let x be the number of 14-ounce cans
800-x be the number of bottles
Total weight=14*x+70*(800-x)=14x+56000-70x=56000-56x=56(1000-x)
Write an equation of the line that has a slope of -7 and y-intercept 6 in slope-intercept form.
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y = mx+b
y = -7x + b ... replace m with -7
y = -7x + 6 ... replace b with 6
The final answer is y = -7x+6
PLEASE HELP 20 POINTS
According to the Alternating Interior Angles theorem, which pair of angles is congruent?
∠SQU and ∠SRW
∠UQR and ∠WRT
∠VQR and ∠WRQ
∠TRZ and ∠TRW
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hope it helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
According to the Alternating Interior Angles theorem, the pair of angles that are congruent are ∠TRZ and ∠TRW. Here option D is correct.
The Alternating Interior Angles theorem states that when a pair of parallel lines are intersected by a transversal, the alternating interior angles are congruent.
A - ∠SQU and ∠SRW: These angles are not alternate interior angles; they are on the same side of the transversal.
B - ∠UQR and ∠WRT: These angles are not alternate interior angles either; they are corresponding angles.
C - ∠VQR and ∠WRQ: These angles are alternate interior angles, but they are not congruent. They are supplementary, meaning their measures add up to 180 degrees.
D - ∠TRZ and ∠TRW: These angles are alternate interior angles and are congruent according to the Alternating Interior Angles theorem.
So, the correct answer is option D - ∠TRZ and ∠TRW.
Complete question:
According to the Alternating Interior Angles theorem, which pair of angles is congruent?
A - ∠SQU and ∠SRW
B - ∠UQR and ∠WRT
C - ∠VQR and ∠WRQ
D - ∠TRZ and ∠TRW
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Which functions are symmetric with respect to the y-axis? Check all that apply.
f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| + 6
f(x) = |x – 6|
f(x) = |x + 3| – 6
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Answer:
The correct options are 1, 2 and 4.
Step-by-step explanation:
The vertex form of an absolute function is
[tex]f(x)=|x-a|+b[/tex]
Where, (a,b) is the vertex of the function and x=a is axis of symmetry.
The function is symmetric with respect to the y-axis. It means the axis of symmetry is x=0. It is possible if the value of a in the vertex form is 0.
In option 1,
[tex]f(x)=|x|[/tex]
Here, a=0 and b=0.
Since the value of a=0, therefore it is symmetric with respect to the y-axis.
In option 2,
[tex]f(x)=|x|+3[/tex]
Here, a=0 and b=3.
Since the value of a=0, therefore it is symmetric with respect to the y-axis.
In option 3,
[tex]f(x)=|x+3|[/tex]
Here, a=-3 and b=0.
Since the value of a≠0, therefore it is not symmetric with respect to the y-axis.
In option 4,
[tex]f(x)=|x|+6[/tex]
Here, a=0 and b=6.
Since the value of a=0, therefore it is symmetric with respect to the y-axis.
In option 5,
[tex]f(x)=|x-6|[/tex]
Here, a=6 and b=0.
Since the value of a≠0, therefore it is not symmetric with respect to the y-axis.
In option 6,
[tex]f(x)=|x+3|-6[/tex]
Here, a=-3 and b=-6.
Since the value of a≠0, therefore it is not symmetric with respect to the y-axis.
Hence the correct options are 1, 2 and 4.
Math Help Please!!!
On a team’s opening day, fans in a baseball stadium were asked how many home games they plan to attend this season. The histogram shows the results. How many fans plan on attending fewer than 20 games?
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Answer: 25
Step-by-step explanation:
Given : On a team’s opening day, fans in a baseball stadium were asked how many home games they plan to attend this season.
In the given histogram , it can be seen that the number of fans attending fewer than 10 = 8
And the number of fans attending between 10-20=17
Then, the number of fans attending fewer than 20 games =[tex]8+17=25[/tex]
Therefore, 25 fans plan on attending fewer than 20 games
He minimum and maximum temperature for a day in cupcake town can be modeled by the equation below: 3|x − 8| + 15 = 18 what are the minimum and maximum temperatures for this day?
Answers
3|x-8|=18-15
|x-8| = 3/3
|x-8| = 1
x-8 = +- 1
x-8 =1
x= 9
AND
x-8=-1
x=7
The minimum temperature would be 7° and maximum would be 9°.
Hope I helped :)
13 1/2 divided by 2 1/4 please help i will mark brainliest
Answers
30 3/8
work:
First, change to mixed numbers. You'll need to do it anyways.
27/2 divided by 9/4
I remembered this through: Keep, Change, Change. Here's how you do it:
1. KEEP the first number.
27/2 divided by 9/4
2. CHANGE what you are doing to it's opposite.
27/2 multiplied by 9/4
3. CHANGE to the reciprocal
27/2 multiplied by 9/4
Solve!
your simplified answer should be 6.
6
this is your final answer.
Hope this helps and have a great day! :D
y = mx + b solve for m (literal equations)
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y - b = mx...now divide both sides by x
(y - b) / x = m