The picture below shows a pole and its shadow:
A pole is shown with a right triangle side. The right triangle has hypotenuse 221 cm and base 21 cm.

What is the height of the pole?

a. 121 centimeters
b. 220 centimeters
c. 225 centimeters
d. 231 centimeters

Answer:

9^7

Step-by-step explanation:

9 x 9 x 9 x 9 x 9 x 9 x 9 = 9^7

The "^" symbol means the number behind it is an exponent btw!

Answer:31

Step-by-step explanation:

You take 73 and subtract 11 and get 62 then divide it by 2 and you get 31

Answer:

7. No, because the x-value 11 has two y-values pair with it.

8. Not a function

Step-by-step explanation:

If there is more than one y-values per x-value then it is not considered a function, same with Question 8.

Answer:

5,000 / 1.35= 3,703.70 is last months profit

Step-by-step explanation:

I hope this helps :)

Answer:

3/100 times 3 is 0.09 or 9/100

Answer:

0.09

Step-by-step explanation:

3÷100=0.03

0.03×3=0.09

Answer:

1/4

Step-by-step explanation:

.5/2=.25=1/4

Answer:

lets just say -8

Step-by-step explanation:

Answer:

The restriction of the domain of f(g(x)) is that x cannot be 3.

Step-by-step explanation:

The first step to solve this question is finding the function, replacing the values. So

[tex]f(x) = \frac{1}{x+5}[/tex]

[tex]g(x) = x - 2[/tex]

[tex]f(g(x)) = f(x - 2) = \frac{1}{x - 2 + 5} = \frac{1}{x - 3}[/tex]

The function is a fraction, which means that the restriction is that the denominator cannot be zero. So

[tex]x - 3 \neq 0[/tex]

[tex]x \neq 3[/tex]

The restriction of the domain of f(g(x)) is that x cannot be 3.

Answer:

Step-by-step explanation:

40

Answer:

D

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

12.50 dollars per day

Step-by-step explanation:

This is a fraction equal to

50 dollars ÷ 4 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 4

50 dollars ÷ 4

4 days ÷ 4

=  

12.5 dollars

1 day

=  

12.5 dollars

day

= 12.5 dollars per day

Answer:

Yes, the triangles are SIMILAR, not exact.

Step-by-step explanation:

None.

Answer:

yes

no

no

yes

Step-by-step explanation:

Answer:

x＞6

Step-by-step explanation:

-2x+17＜5

2x＞12

x＞6

Substitute the x and y coordinate into both equations and check to see if they work is a best way to determine whether a given point is a solution to a system of equations.

One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

The best way to determine whether a given point is a solution to a system of equations is to substitute the  x and y coordinate into both equations and check to see if they satisfy the equation.

And if the solutions do not satisfy the equation that means given x , y are not the solutions.

And if the unknowns are the solutions of system of the equation that

means the pair of point lies in the graph.

Therefore the answer is option C.

To learn more about the system of equation;

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Answer:

a = 28, b = -35 and c =7

Step-by-step explanation:

Given expression is :

28x-35y=-7

We need to express it in the form of ax+by+c=0 and then find the value of a,b and .

Adding 7 to both sides.

28x-35y+7=-7+7

28x-35y+7=0

or

28x+(-35y) +7=0

It is in the form of ax+by+c=0.

On comparing,

a = 28, b = -35 and c =7

Answer:

f(x) = x3 - 3x + 1

f'(x) = 3x2 - 3 = 3(x2 - 1) = 3(x+1)(x-1)

Find the critical numbers:  set f'(x) = 0

                                    3(x+1)(x-1) = 0     x = 1, -1

Check the sign of f'(x) on either side of each critical number.  If f'(x) is positive on an interval, then f is increasing on the interval.  If f'(x) is negative on an interval, then f is decreasing on the interval.  

     +      l       -       l      +     sign f'(x)

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

            -1              1

f is increasing on (-∞, -1) υ (1, ∞)

f is decreasing on (-1, 1)

Answer:

C. 5

Step-by-step explanation:

6=-3x+21

6=-3(5)+21

6=-15+21

6

Answer:

The 27th term is -22

Step-by-step explanation:

So we know 59 is the first term

and for every term, its -3

So multiply -3 by 27= -81

59-81

-22

Answer:

13.318

Step-by-step explanation:

i would go into all the work, but my hands will hurt from typing. Hope this helps

Answer:

b = 3 and a = -1

Step-by-step explanation:

You have your given equation:

2a - 3b = -11

a + 3b = 8

You need to find what a and b is.

To find b:

2a - 3b = -11

-2a - 6b = -16

I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.

So now your equation would look like this when you solve for b:

2a - 3b = -11

-2a - 6b = -16

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

a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.

To find a:

2a - 3b = -11

a + 3b = 8

I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.

Your equation will look like this when you solve for a:

-2a + 3b = 11

-1a - 3b = -8

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

-3a = 3 then divide -3 to 3 which is -1 so a = -1.

Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.

1. 2(-1) -3(3) = -11

 -2 - 9 = -11

2. -1 + 3(3) = 8

   -1 + 9 = 8

Answer:

3x + 6 is equal to x + 2

Step-by-step explanation:

Answer: 3( x + 2)

Step-by-step explanation:

6

3x+6

3(x+2)

Answer:

4/9 * 7 =3.11111111

Step-by-step explanation:

4/9 * 7 =3.11111111

Answer:

7 times 4/9

Step-by-step explanation:

Its simple lol

Answer:

x=34 degrees

Step-by-step explanation:

since angle TSU=4x then angle RSP=4x

4x-3x=x

angle PSQ=x

angle PQS=112 degrees (180-68=112)

triangle PSQ angles are x+x+112=180

2x-68

x=34 degrees

Answer:

Answer is in attached image.

Step-by-step explanation:

Given the expressions, for which we have to find the estimates as per the expressions on the left.

The given expressions are:

1) 35 [tex]\times[/tex] 23

2) 132 [tex]\div[/tex] 168

3) 17.3 [tex]\times[/tex] 18.4

4) 999 [tex]\div[/tex] 208

5) 998 [tex]\times[/tex] 211

Here, we need to find the rounded off numbers.

35 can be rounded to 40 and 23 to 20.

Therefore, equivalent to 35 [tex]\times[/tex] 23 is 40 [tex]\times[/tex] 20

132 can be rounded to 130 and 168 to 170.

Therefore, equivalent to 132 [tex]\div[/tex] 168 is 130 [tex]\div[/tex] 170.

17.3 can be rounded to 17.0 and 18.4 to 18.0.

Therefore, equivalent to 17.3 [tex]\times[/tex] 18.4 is 17.0 [tex]\times[/tex] 18.0.

999 can be rounded to 1000 and 208 to 210.

Therefore, equivalent to 999 [tex]\div[/tex] 208 is 1000 [tex]\div[/tex] 210.

998 can be rounded to 1000 and 211 to 210.

Therefore, equivalent to 998 [tex]\times[/tex] 211 is 1000 [tex]\times[/tex] 210.

The solution can be found in the attached image as well.

Answer:

9.92 feet or 9 feet 11 1/16 inches

Step-by-step explanation:

1.24X8 feet=9.92 feet or 9 feet 11 1/16 inches

Answer:

Triangles

Step-by-step explanation:

hotgsosbsga aksnsusgsv

Answer:

A. EquilateralTriangles BRAINLIEST PLS

Step-by-step explanation:

One Answer: Choice C) 0 < x < 1

==================================================

Explanation:

Let's go through the answer choices one at a time.

The correct option is C

A function whose value decreases as the independent variable increases over a given range is called a decreasing function.

Considering the options :

A) it represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.

B) It is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.

In contrast, C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.

Hence, the correct option is 0 < x < 1

Learn more about decreasing function, click;

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