what is the solution to the exponential equation (½)x = 32

Step-by-step explanation:

angle pqs = angle qsr (alternate interior angles are equal in a parallelogram).

thus,

angle qsr = 58 degrees

Answer:

[tex] \: [/tex]

Step-by-step explanation:

And, it is given that the measure of ∠PQS is 58°.

So,

[tex] \bf \qquad∠QSR = ∠PQS \\ \\ [/tex]

[tex] \bf \qquad \implies∠QSR = 58° \: \: [Alternate \: interior \: angles] \\ \\ [/tex]

Let's know something about Alternate interior angles :

V≈33.51

Hope it helps.

Do comment if you have any query.

Answer:

  (1/2, -8 1/2)

Step-by-step explanation:

The enlargement transformation maps point A to one that is 3 times as far from the center of enlargement. If the center is C, then we have the relation ...

  (A' -C) = 3(A -C)

__

Solving for C gives ...

  A' -C = 3A -3C

  2C = 3A -A' . . . . . . . add 3C-A'

  C = (3A -A')/2

Filling in the given coordinates for A and A', we find the center of enlargement to be ...

  C = (3(1, -4) -(2, 5))/2 = (3 -2, -12 -5)/2 = (1, -17)/2

  C = (1/2, -8 1/2)

The center of enlargement is (1/2, -8 1/2).

Answer:

A = 35
B = 100
C = 25

Step-by-step explanation:

All interior angles in a triangle add up to 180 degrees.
x + 65 + x + 25 = 180
2x + 110 = 180
2x = 70
x = 35

Answer (1):

A=45 B=110

Step-by-step explanation (1):

So the inner degrees has to equal 180.  So you would do this:

[tex](x+65)+x+25=180\\2x+90=180\\2x=90\\x=45[/tex]

Now substitute 45 for x and check.

[tex]45+65=110\\110+45+25= < ABC\\180= < ABC[/tex]

Answer (2):

126 degrees.

Step-by-step (2):

Like I said before, the inner degrees has to equal 180.  We would write another equation.  By the way, the red square is for 90 degrees.

[tex](5x-6)+3x+90=180\\8x+84=180\\96=8x\\x=12[/tex]

Now substitute 12 for x.

Also to find the anterior angle, we would add the 90 and the 3x[tex]3(12)=36\\90+36=126\\126+(5x-6)=180\\120+5x=180\\180=180[/tex]

We start with 90,500

to get 10% we multiply it by .10

90,500 * .10 =

9050

Answer:

D

Step-by-step explanation:

Answer:

Check the attachment of solution.

Answer:

Step-by-step explanation:

Proving the triangles are similar

Taking the sides in proportion

Answer:

300

Step-by-step explanation:

rounding to hundreds place means you look at the middle digit in this case. If the digit is 5 or greater, then you round your first digit up, but in this case the number (4) is less than 5, we round down. By rounding down we would get 300.

Answer:

4/663

Step-by-step explanation:

Since the first card is set aside after being drawn, this is dependent probability.
There are 4 kings in 1 deck of 52 cards.
Therefore the probability of choosing a king is 4/52 = 1/13.

But after choosing 1 card from the deck, there are now 51 cards in the deck. There are 4 queens in the deck of 51 cards. Therefore the probability of choosing a queen is 4/51.

To determine the probability of choosing both, multiply the 2 probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]

Answer:

1/13

Step-by-step explanation:

once you simplify and finish that is the simplified answer

Answer:

75.2

Step-by-step explanation:

You first multiply 7.72 by 10, which is equal to 77.2. Now it's basic math; subtract 77.2 and 2, it equals to 75.2.

Answer:

0.0772

Step-by-step explanation:

Answer:

B. 57.87 kilometers

Step-by-step explanation:

Since Jason walked the trail 9 times, we multiply the length of the trail by the times he walked.

So, 6.43 x 9.

This is equal to 57.87.

Answer:

I got 84% increase

Step-by-step explanation:

Subtract final value minus starting value

Divide that amount by the absolute value of the starting value

Multiply by 100 to get percent increase

Answer:

V≈1649.34

this is the solution

V=πr2h

3=π·152·7

3≈1649.33614

Answer:

x=2

Step-by-step explanation:

hope this helps

not sure if im right <3

Answer:

3.32

Step-by-step explanation:

[tex]4.7 ^2 = 22.09[/tex]

[tex]22.09/2 = 11.045[/tex]

then we can find the square root, [tex]\sqrt{11.045} = 3.32[/tex]

now we can check our answer:

[tex]a^2 + b^2 = c^2[/tex]

[tex]3.32^2 + 3.32^2 = 4.7^2[/tex]

[tex]11.0224 + 11.0224 = 22.0448[/tex]

and [tex]\sqrt{22.0448} = 4.6951[/tex] or 4.7

Answer:

a

Step-by-step explanation:

Answer:the answer is A 5x5=25

Step-by-step explanation:

Answer:

A. 73%

Step-by-step explanation:

There are altogether 100 small squares.

73 are shaded.

shaded portion = 73/100 = 73%

Answer:

55 square inches.

Step-by-step explanation:

Total Area = area of the triangular roof + area of the rectangular wall

= 1/2 * 10 * 3 + 5 * 8

= 15 + 40

= 55..

Step-by-step explanation:

7 to make a perfect square

Answer:

4. 309.76π

5. 2500/π

Question 4

Step 1. Find radius

D = 2r

r = D/2

r = 35.2/2 = 17.6 cm

Step 2. Find area

A = πr²

A = π(17.6)²

A = 309.76π ≈ 973.14 cm²

Question 5

Step 1. Find radius

C = 2πr

r = C/2π

r = 100/2π = 50/π ≈ 15.92 m

Step 2. Find area

A = πr²

A = π(50/π)²

A = π(2500/π²)

A = 2500/π ≈ 795.77 m²

I hope this helps!

Question 4

Step 1. Find radius

D = 2r

r = D/2

r = 35.2/2 = 17.6 cm

Step 2. Find area

A = πr²

A = π(17.6)²

A = 309.76π ≈ 973.14 cm²

Question 5

Step 1. Find radius

C = 2πr

r = C/2π

r = 100/2π = 50/π ≈ 15.92 m

Step 2. Find area

A = πr²

A = π(50/π)²

A = π(2500/π²)

A = 2500/π ≈ 795.77 m²

i think these are right i hope this helped if not im sorry

[tex]\text{The two angles are supplementary, so their sum is~} 180^{\circ} \\\\m\angle A + m\angle B= 180^{\circ}\\\\\implies x+15+x-13 = 180\\\\\implies 2x +2 = 180\\\\\implies 2x = 180-2\\\\\implies 2x = 178\\\\\implies x = \dfrac{178}2\\\\\implies x = 89\\\\\text{Hence the measure of angle B is}~ \angle B = (89-13)^{\circ} = 76^{\circ}[/tex]

Answer:

B is the answer Hope this helps

The original figure will be enlarged by the dilation.

The image and the pre-image will be similar figures.

The corresponding angles of the figures will be congruent.

Dilation is the increase or decrease in the size of a figure by a scale factor k. Dilation produces similar shapes.

If k > 1, this is an enlargement, if k < 1, it is a reduction.

Trevor is dilating a figure on the coordinate plane by a scale factor of 9/5 (>1). Hence:

The original figure will be enlarged by the dilation.

The image and the pre-image will be similar figures.

The corresponding angles of the figures will be congruent.

Find out more on dilation at: https://brainly.com/question/10253650

Answer: Below

Step-by-step explanation:

So let's actually make a readable expression first.

[tex]\frac{8\sqrt{3} }{\sqrt{5} }[/tex]

We first want to rationalize denominators (turning the denominator into an integer),so multiply both the numerator and denominator by sqrt(5). This method is called the big one, and doesn't change an expression since sqrt(5)/sqrt(5) = 1.

[tex]\frac{8\sqrt{3} }{\sqrt{5} } * \frac{\sqrt{5} }{\sqrt{5} } = \frac{8\sqrt{3}\sqrt{5} }{5} = \frac{8\sqrt{15} }{5 }[/tex]

This is our simplified equation.

Answer:

24

Step-by-step explanation:

[tex]let \: the \: length \: of \: \: the \: third \: side \: = y \\ using \: pythaoras \: theorem \: \\ 30 {}^{2} = y { }^{2} + 18 {}^{2} \\ y {}^{2} = 30 {}^{2} - 18 {}^{2} \\ y {}^{2} = 900 - 324 \\ y {}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \\ lenht \: of \: the \: third \: side = 24[/tex]

Answer:

the answer is 450

Step-by-step explanation:

180 × 2= 360. but that only gives us 4 mins we need one more min. so we divide 180 by 2 and get 90. we add 90 to 360 and get an answer of 450

After 6 years Carmen has received $6,554.52 in dividends.

Given that  Carmen buys 153 shares of cash consolidated banks each of which pays a constant yearly dividend of $7.14.

The dividend policy in which the percentage of earnings paid in the form of dividends is held constant

The yearly dividend of $7.14 for Carmen buys 153 is given by

153 shares x $7.14 = $1,092.42

Therefore for has carmen received in dividends $1,092.42.

Therefore for 6 years, he received

$1,092.42 x 6 = $6,554.52

Therefore, after 6 years Carmen has received $6,554.52 in dividends.

To learn more about the shares visit:

https://brainly.com/question/25818989

[tex]\left(\sqrt[6]{2xy^5}\right)^7\\\\\\=\left[\left( 2xy^5\right)^\tfrac 16 \right]^7\\\\\\=\left(2xy^5\right)^{\tfrac 76}[/tex]

Answer:

Writing 9/5 as a decimal using the division method. To convert any fraction to decimal form, we just need to divide its numerator by denominator. Here, the fraction is 9/5 which means we need to perform 9 ÷ 5. This gives the answer as 1.8.

Step-by-step explanation:

hope this helps if not let me know

Step-by-step explanation:

1/3×π×r^2×15=1570. r^2=1570×21/(22×15);r=10.00