The area of the figure is __ square units.

Check the picture below.

[tex]\cfrac{\stackrel{A~radius}{(12)^3}}{\underset{B~radius}{(30)^3}}~~ = ~~\cfrac{\stackrel{A~volume}{48}}{\underset{B~volume}{V}}\implies \cfrac{1728}{27000}~~ = ~~\cfrac{48}{V}\implies \cfrac{8}{125}~~ = ~~\cfrac{48}{V} \\\\\\ 8V=(48)(125)\implies V=\cfrac{(48)(25)}{8} \\\\\\ V=\cfrac{48}{8}25\implies V=6(25)\implies V=150[/tex]

Answer:

19.5%

Step-by-step explanation:

probability of getting a, e, i, o, u is 5/26(total alphabets)

change 5/26 to percentage

Answer:

see explanation

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 , ∠ 5 , ∠ 6 are exterior angles of the triangle

-------------------------------------------

(14)

∠ 1 and ∠ 4 are adjacent angles and sum to 180° , then

∠ 1 = 180° - 58° = 122°

∠ 2 + ∠ 3 = ∠ 4

∠ 2 + 32° = 58° ( subtract 32° from both sides )

∠ 2 = 26°

∠ 5 = ∠ 1 + ∠ 3 = 122° + 32° = 154°

∠ 6 = ∠ 1 + ∠ 2 = 122° + 26° = 148°

(15)

∠ 4 = ∠ 2 + ∠ 3 = 11° + 143° = 154°

∠ 1 = 180° - ∠ 4 = 180° - 154° = 26°

∠ 5 = ∠ 1 + ∠ 3 = 26° + 143° = 169°

∠ 6 = ∠ 1 + ∠ 2 = 26° + 11° = 37°

Answer:

No, it is not a right triangle.

Using the Pythagorean theorem the longest side would need to be 21.26 meters , not 20, in order to be a right triangle.

Answer:

Which graph models Y<1/2|X-2| ...........no.2

Answer:

Answer is D

Just expand

And remember

[tex] \sqrt{ - a} = \sqrt{a} i[/tex]

Goodluck tomorrow

Answer:

Step-by-step explanation:

Solving

In Quadrant II,

In Quadrant IV,

Now

we know tan53=4/3

But it's negative

So tan is either in 2nd or 4th quadrant

For 2nd Quarter

For 4th quadrant

Answer: 31

Step-by-step explanation:

C = 18w + 53

611 = 18w + 53

- 53 -53

558 = 18w

divide both sides by 18.

558 / 18 = 31

Answer:

b

Step-by-step explanation:

you have to solve each equation to find the smallest to largest.

Answer: it is choice b . The second choice is correctly ordered from greatest to largest .

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

Step-by-step explanation:

(√2 + √3)² · (√5 - √2)²

use (a ± b)² = a² ± 2ab + b²

= [(√2)² + 2(√2)(√3) + (√3)²] · [(√5)² - 2(√5)(√2) + (√2)²]

= (2 + 2√6 + 3) · (5 - 2√10 + 2)

= (5 + 2√6)(7 - 2√10)

use FOIL: (a + b)(c + d) = ac + ad + bc + bd

= (5)(7) + (5)(-2√10) + (2√6)(7) + (2√6)(-2√10)

= 35 - 10√10 + 14√6  - 4√60

= 35 - 10√10 + 14√6 - 4√(4 · 15)

= 35 - 10√10 + 14√6 - 4 · √4 · √15

= 35 -10√10 + 14√6 - 4 · 2 · √15

= 35 -10√10 + 14√6 - 8√15

[tex]\left(\sqrt 2 +\sqrt 3 \right)^2 \left( \sqrt 5 - \sqrt 2\right)^2\\\\=\left( 2+2\sqrt 6 +3\right)\left( 5-2\sqrt{10}+2\right)\\\\=\left( 5+2\sqrt6\right)\left( 7-2\sqrt{10}\right)\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{60}\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{4 \times 15}\\\\=35-10\sqrt{10}+14\sqrt6-8\sqrt{15}\\[/tex]

Answer:

V = 162 ft³

Step-by-step explanation:

given 2 similar figures with ratio of sides a : b , then

ratio of volumes is a³ : b³

here ratio of sides = 3 : 1 , then

ratio of volumes = 3³ : 1³ = 27 : 1

this means that the volume of figure A is 27 times the volume of figure B

volume (V) of figure A is then

V = 27 × 6 = 162 ft³

Answer:

21 divided by 3

21 divided by 7

7 times by 3

Answer:

can u help me for me ques pls

Theorem : Let p be a prime number. If p divides a²  , (where a is a positive integer),  then p divides aLet say prime factors of a area = p₁ , p₂ , p₃ ........., pₓ   where p₁ to pₓ are prime numbera = (p₁ × p₂ × p₃ ×.........× pₓ)a² =  (p₁ × p₂ × p₃ ×.........× pₓ) (p₁ × p₂ × p₃ ×.........× pₓ)if p divides a² then it is one of  (p₁ × p₂ × p₃ ×.........× pₓ)as a = (p₁ × p₂ × p₃ ×.........× pₓ) so p divides aVerification forp = 2, p = 5 and for a square = 1, 4, 9, 25, 36, 49, 64 and 81.2 is factor of 4 , 36 & 642 is factor of 2 , 6 & 85 is factor of 255 is a factor of 5 also

Answer:

an average of around 16 calls per day

Step-by-step explanation:

Simply divide 500 by 30 and that comes out to 16.66666

But because you cannot take half a call you just use 16 as your answer!

Answer:

See below ~

Step-by-step explanation:

Applying the rule (x - 5, y - 3) to the coordinates :

The coordinates are :

As evidenced by the rule :

The rectangle is translated 5 units to the left and 3 units down.

The option that describes the accuracy of Carl's solution in the Pythagoras is C. Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

It should be noted that a Pythagoras theorem is a theorem that states that the sum of the squares that are on the leg of a right angle will be equal o the square of the hypotenuse.

In this case, the steps given show that Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

Therefore, the correct option is C.

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Answer:

c

Step-by-step explanation:

Carl’s work and answer are incorrect. He choose a vertex, V, that does not make a right triangle with MN.

Answer:

1

Step-by-step explanation:

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

Here, both of these angles are 51 so they will be equal to 1.

The answer is C. when you plug in your equation you should get a decimal but make sure to round up or down to the nearest WHOLE number so it would be C.

The total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.

We have:

Total number of outcomes for pyramid = 4

Total number of outcomes for spinner = 5

Total outcomes = 4×5  (multiplication rule of counting)

= 20

Thus, the total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

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Answer:

B. 71°

Step-by-step explanation:

Parallel lines are the same

Answer:

measure of angle 1 is equal to 71.

Answer:

9 remainder 1

Step-by-step explanation:

Not sure but uh... 73/8=9 remainder 1.

Is this what you are looking for?

73 divided by 8 equals 9 with a remainder of 1.

To find the quotient and remainder when dividing 73 by 8, we perform long division.

Here's how it works:

We start by dividing the first digit of the dividend (7) by the divisor (8). Since 7 is smaller than 8, the quotient will be 0, and the remainder will be 7.

We bring down the next digit from the dividend, which is 3, making the new number 73.

Now, we divide 73 by 8. The largest multiple of 8 that fits into 73 is 9 (8 times 9 equals 72). So, the quotient becomes 9.

We subtract 72 (8 times 9) from 73, resulting in a remainder of 1.

Therefore, 73 divided by 8 equals 9 with a remainder of 1.

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The approximate ordered pair is the coordinate where both functions graph intercect

That's can be found only by observing graph.

As we observe we find that

The coordinate at where f(x)=g(x) is (3,18)

It means that

at this the values of both the functions are equal

i.e

Answer:

b)  (3, 18)

Step-by-step explanation:

f(x) = g(x) at the point where the two lines intersect.

From inspection of the graph, we can see that the x-value of the point of intersection is between 0 and 10.  Therefore, from the options given, it must be x = 3 (since 12 > 10 and 18 > 10).

From inspection of the graph, we can see that the y-value of the point of intersection is between 10 and 20, but it's nearest to 20 than it is 10.  Therefore, from the options given, it must be y = 18.

Therefore, the approximate ordered pair is (3, 18)

Answer:

use a ruler.

Step-by-step explanation:

Answer:

B. 5/8

Step-by-step explanation:

To find this you will want to find what the 2 denominators have in common. In this instance if you multiply 4 by 2 you will get 8. Once you find what you can do to get the same denominators you will multiply the numerator with the same number as the denominator. So 4x2 and 1x2 gives us 2/8 as our new fraction. After this adding fractions is much simplier. It's as simple as adding the numerators together and keeping the denominator as the same. 3/8 + 2/8 = 5/8.

Answer:

16+ inches i think

Step-by-step explanation:

beacuse the with is 16 meanimg it nedds to be the same or bigger

Answer its one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

actually the question is about to solve x and y

x + y = 24, x = 24 - y, put into the other equation

3x + 5y = 100

3(24 - y) + 5y = 100

72 - 3y + 5y = 100

2y = 28

y = 14

x = 24 - 14 = 10

no. of 3 point question = 10, no. of 5 point question = 14

Answer:

A) f(x) = |x|

B) f(x) = -|x+3| + 3

Step-by-step explanation:

Absolute value functions

The general form of an absolute value function is f(x) = a|x-b| +c

a indicates the 'amplitude' or multiplier

b indicates horizontal shift

c indicates vertical shift

The turning point of f(x) = |x| is (0, 0)

a = y/x when b = 0 and c = 0

A) f(x) = |x|

Since the turning point is still (0, 0) there is no horizontal nor vertical shift, meaning b = 0 and c = 0

We have the point (2, 2), thus a = 2/2 = 1

f(x) = a|x-b| + c

f(x) = |x|

B) f(x) = -|x+3| + 3

The turning point is at (-3, 3) b = -3 and c = +3

We have the point (3, -3), thus a = y/x = -3/3 = -1

f(x) = a|x-b| + c

f(x) = (-1) (|x-(-3)|) + (+3)

f(x) = -|x+3| + 3

Answer:

7.069 in

Step-by-step explanation:

1.5*1.5* 3.14159265359

Answer:

the answer is 14.79... hope this helps

The probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.

Probability is the branch of mathematics, which discusses the occurrence of a random experiment.

The average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds.

The standard error of the sample will be:

[tex]\rm Standard \ error=\dfrac{Standard deviation}{\sqrt{ Number \ of \ babies} }\\\\\rm Standard \ error=\dfrac{1.2}{\sqrt{ 4} }\\\\Standard \ error=\dfrac{1.2}{2}\\\\Standard \ error=0.6[/tex]

The probability that the average of four babies P(4 babies will be between 8.4 - 9.6 pounds) is;

[tex]\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{6.8-8}{0.6}\leq X\leq \dfrac{9.2-8}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{-1.2}{0.6}\leq X\leq \dfrac{1.2}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( -2\leq X\leq 2 \right )\\\\\rm P(6.8\leq X\leq 9.2)= P(Z\leq -2)-P(Z\leq 2)\\\\ P(6.8\leq X\leq 9.2)=0.97-0.22\\\\ P(6.8\leq X\leq 9.2)=0.74[/tex]

Hence, the probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.

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