Two poles, A and B, are 12 meters apart. Pole A is 5 meters high. A rope 20 meters long is tied to the top of pole A and stretches to the top of pole B. What is the height of pole B? Assume that pole B is taller than pole A.

Hint: Use the Pythagorean theorem to find the value of x.
A.
19
B.
20
C.
21
D.
13
E.
15

Answer:

Step-by-step explanation:

(-∝;2)

Answer: (-infinity, 2]

Step-by-step explanation:

Answer:

⚪ (4 • 3) + (4 • 8)

Step-by-step explanation:

[tex]4•(3 + 8)[/tex]

by distributing 4 in the bracket:

[tex] = \{(4•3) + (4•8) \}[/tex]

Answer:

Total: 1060 Gain: 60

Step-by-step explanation:

1000 (Current Amount) x 0.03 (3% as a decimal) x 2 (year amount) = 60 + 1000 (Original Amount Invested) = 1060

Step-by-step explanation:

Answer:

1636mi/hr

Step-by-step explanation:

2400ft/s = _______mi/hr                   1 hr = 3600s          1mi = 5280ft

2400ft/s   x   3600s/hr   x   1mi/5280ft = 1636mi/hr

Answer:

1-1=0

1*0=0

I dont know if I'm right

Answer:r+(2r+7)

Step-by-step explanation:

Answer:

a. 62

Step-by-step explanation:

use the Bodmas method

=3×9-5+20×2

=62

The value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

So, use the Bodmas method

=[3 × 9 - 5 ]+ 20 × 2

= [27 -5] + 40

= 22 + 40

=62

Therefore,  the value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

#SPJ2

Answer: 16

Step-by-step explanation: following PEMDAS you’ll solve the exponent first

3^2= 9

9+21/3

Then solve the division

21/3 = 7

9+7

Then addition

9+7= 16

Answer:

2

Step-by-step explanation:

Answer:

48000cm

Step-by-step explanation:

5:15000

But, 1cm will be 3000

16cm will be 16*3000 =48000cm

Answer:

Step-by-step explanation:

There are 26 possibiliteis of the first and last initials. So there are [tex]26\times 26[/tex] different initials.

So the smallest class size to ensure the Prof to use different system is [tex](26\times 26)+1[/tex] since there must be two people in this class with the same first and last initials.

9514 1404 393

Answer:

Step-by-step explanation:

The tangent function is periodic with a period of 180°. So ...

  tan(205°) = tan(25°) = a

__

The identity relating sine and tangent is ...

  sin(x) = tan(x)/√(tan²(x)+1)

Rationalizing the denominator gives ...

  sin(x) = tan(x)√(tan²(x)+1)/(tan²(x)+1)

  sin(25°) = a√(a²+1)/(a²+1)

__

  cos(65°) = sin(25°) = a√(a²+1)/(a²+1)

__

  cos(245°) = -sin(25°) = -a√(a²+1)/(a²+1)

Answer:

56

Step-by-step explanation:

solve expression using pemdas

(shown in image attached)

[tex]( - 8 \times - 6) - {4}^{2} \\ \\ - 77 - 16 \\ - 93[/tex]

Answer:

C

Step-by-step explanation:

They are complementary which means they add to 90. I take it that the c is a typo and you meant x

6x + 3 + 4x + 7 = 90                  Combine like terms.

10x + 10 = 90                             Subtract 10 from both sides

10x = 90 - 10

10x = 80                                    Divide by 20

x = 80/10

x = 8

Step-by-step explanation:

6m+7n+5m-3n

11m+7n-3n

11m+4n

Answer:

the answer is the 3rd choice: Pe=$14, Qe=31

Step-by-step explanation:

locate the price where S1 and D1 intersect= 14

locate the quantity where S1 and D1 intersect= 31

so, Pe=$14 and Qe=31

Answer and Step-by-step explanation:

To find the GCF (Greatest Common Factor), you need to see what all of the numbers have in common.

By looking at the terms in the expression, we can see that all the numbers are divisible by 4, so lets factor that out.

[tex]4(23x^7y^5+24x^5y^4+11x^4y^5)[/tex]

We can also see that the terms have a [tex]x^4[/tex] and [tex]y^4[/tex] in common, so factors those out.

[tex]4x^4y^4(23x^3y+24x+11y)[/tex] <- This is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

heliocentric = sun is center

geocentric = earth is center

Answer:

Heliocentric Theory goes with 2.

Geocentric Theory  goes with 1.

Step-by-step explanation:

The Heliocentric theory is the theory that the Sun is the center of the solar system. Hence, the prefix "helio" which means "relating to the sun"

The Geocentric theory is the theory that the earth is the center of the solar system. Hence, the prefix "geo" which means earth.

A good way to remember which is which is to remember the prefixes.

Answer:

[tex]2x + y = 5 \\ y = 5 - 2x[/tex]

[tex]2x - y + = 5 \\ - y = 5 - 2x[/tex]

[tex]x + 2y = 5 \\ 2y = 5 - x \\ 2y = 4 x [/tex]

Answer:

1 Refelction in the diagnal axis, translation to the right

Step-by-step explanation:

Im a bit unsure about this, question is a bit vauge

Answer: when you simplify it you get 6 81/100 and you cant go any further because you will start to get into approximate values.

Step-by-step explanation:

Answer:

[tex](fog)(x) = f(g(x)) \\ = 7(4 - 2x) - 7 \\ = 28 - 14x - 7 \\ = 21 - 14x \\ = - 14x + 21[/tex]

[tex](gof)(x) = g(f(x)) \\ = 4 - 2(7x - 7) \\ = 4 - 14x + 14 \\ = 18 - 14x \\ = - 14x + 18[/tex]

I hope I helped you^_^

Answer:

y=3x+15

Step-by-step explanation:

You just move 3x to the other side.

Answer:

y = 3x + 15 is the equation rewritten into slop intercept form

9514 1404 393

Answer:

  3

Step-by-step explanation:

This is basically a calculator problem, though you can do it in your head. Follow the order of operations.

  [tex]\dfrac{\sqrt{144}}{\sqrt[5]{243}}-5+16\div\sqrt[3]{64}=\dfrac{12}{3}-5+\dfrac{16}{4}\\\\=4-5+4=\boxed{3}[/tex]

Answer:

3

Step-by-step explanation:

(√144/ ^5√243/) - 5 + 16 ÷ (³√64) =

12/3 -5 +16÷ 4 =

4 - 5 + 16 ÷ 4 =

-1 + 4 =

3

Answer:

1890

Step-by-step explanation:

Area formula: B × H

Substitute and solve:

70 × 27 = 1890

So, the area is 1890.

Hope this helped.

Answer:

[tex]x(t) = 3 + t[/tex]

make t the subject:

[tex]t = x - 3[/tex]

for y :

[tex]y(t) = - {t}^{2} \\{ \boxed{ \boxed{ y(t) = - {(x - 3)}^{2} }}}[/tex]