3. The area of this trapezoid is 25.5 ft.

3.2 ft

7 ft

What is the height of the trapezoid? Show your work.
Answer:

Answer:

[tex]\huge\boxed{x=4}[/tex]

Step-by-step explanation:

[tex](3x+8)+(2x+4)=32\\\\3x+8+2x+4=32\qquad|\text{combine like terms}\\\\(3x+2x)+(8+4)=32\\\\5x+12=32\qquad|\text{subtract 12 from both sides}\\\\5x+12-12=32-12\\\\5x=20\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{20}{5}\\\\x=4[/tex]

Answer:

9/4

Step-by-step explanation:

Answer:

139.25 m²

Step-by-step explanation:

Area  of the square = 10 * 10 = 100 m²

Radius of the semicircle = 5 m

Area of the semicircle = π(5)²/2 = 39.25 m²

Total area = 100 + 39.25 = 139.25 m²

Answer:

I think absolute value

Step-by-step explanation:

One divided by anything is that same number

EX.

1/100=100

But if the number is negative it would still be that number just in negative form.

Ex.

1/(-3)= -3

Can I get Brainlest if you found this answer helpful

[NRAA]

One- (number)+th

eg- one tenth

one eighth

[xArtsy]

Answer:

8,588 people

Step-by-step explanation:

We can represent this exponential decay as [tex]P=10000(0.97)^n[/tex] where [tex]n[/tex] is the number of years later:

[tex]P=10000(0.97)^n\\\\P=10000(0.97)^5\\\\P=10000(0.8587340257)\\\\P=8587.340257\\\\P\approx8588[/tex]

Therefore, the population 5 years later will be 8,588 people

Step-by-step explanation:

Ok so after the first year we expect the population to reach 97% of it's initial population.

So 97% of 10 000 can be written as:

97/100 ×10 000=0.97×10 000=9 700

After the second year we expect the population to drop to 97% of the first year's population

So, it can be said that:

0.97×9700= 9409

Similarly after year 3,

0.97× 9409= 9126.73

Year 4,

0.97× 9126.72= 8852.9281

Year 5,

0.97× 8852.9281=8587 rounded to the nearest number

The new population would be 8587

Answer:  False :)

Step-by-step explanation:

Answer:

10 log(R) = 120 log(R) = 12 R = 1012 ---- From the definition of a logarithm: 10log(x) = x

Explanation :

A = log10[1000(1 + 0.04)5]

Elapsed Time :

1. 24min - 9min = 15 Minutes

2. 56min - 48min = 8 Minutes

3. 36min -5min = 31 Minutes

4. 55min - 3min = 52 Minutes

5. 45min - 11min = 34 Minutes

PS. Mark as brainliest if this helped! :) Trying to get to Virtuoso.

Answer:

22%

Step-by-step explanation:

It's 22% because if we want to find the percent change in something, the formula for that is new number - (minus) old number, than divide by old number, and lastly multiply by 100. So,

1. 1037 - 850 = 187

2. 187 / 850 = 0.22

3. 0.22 x 100 = 22 --> 22%

Answer:

2,740,754.11467 or 2,740,754

Step-by-step explanation:

800,000(1.08)^16

y=a(b)^x

a is the starting point

b is growth

x is years

you get the growth by adding 8 to 100 then dividing by 100.

The term varies or changes, and often there are restrictions set on the variable (eg: x is positive). Think of a variable as a placeholder for a number.

Answer:

-2x+y=-3

Step-by-step explanation:

mr clean

2x+y=-3

on algebra, to move something to the other side of the equal sign you must make the variable cancel out.

so, in this case, we will add 2x to cancel out the -2x. after that rules of algebra state whatever we do to one side of the equal sign, we must do to the other. so we get 2x on the left side, resulting in 2x+y=-3

Answer:

5 times 3 is 15 and if you divide 3 by 15 you answer will be 5

Step-by-step explanation:

If a function f(x) has an inverse f ⁻¹(x), then by definition

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Differentiating both sides with respect to x yields

[tex]f'\left(f^{-1}(x)\right) \times \left(f^{-1}\right)'(x) = 1 \implies \left(f^{-1}\right)'(x) = \dfrac1{f'\left(f^{-1}(x)\right)}[/tex]

Now, if f(a) = b and b = f ⁻¹(a), then

[tex]\left(f^{-1}\right)'(a) = \dfrac1{f'\left(f^{-1}(a)\right)} = \dfrac1{f'(b)}[/tex]

Answer:

P (A|C) = 0.39

P (C|A) = 0.446

Step-by-step explanation:

The data provided is as follows:

                                              Blood Group

                                  O           A            B           AB         Total

                         1)    0.082    0.101     0.005     0.004     0.192

Ethnic Group   2)    0.140     0.141      0.018     0.009     0.578

                        3)    0.215     0.195     0.070     0.020    0.500

      Total                0.437     0.437     0.093     0.033

The event C = {Ethnic group 3 is selected}

Compute the value of P (A|C) as follows:

[tex]P(A|C)=\frac{P(A\cap C)}{P(C)}=\frac{0.195}{0.5}=0.39[/tex]

If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(A | C) = 0.39.

Compute the value of P (C|A) as follows:

[tex]P(C|A)=\frac{P(A\cap C)}{P(A)}=\frac{0.195}{0.437}=0.446[/tex]

If we know that the individual has type A blood group, the probability that he came from ethnic group 3 is given by P(C | A) = 0.446.

Answer:

A. -1. (27)

B. 0.3

C. -14

D. -18

Step-by-step explanation:

I just use the calculator

I will start off by defining the angle

[tex] \alpha = 90 - \beta [/tex]

as being the angle between altitude and the hypotenuse of the triangle.

[tex] \alpha = 90 - 30.1 = 59.9[/tex]

Using trigonometry, and the definition of the tan function defined by

[tex] \tan( \alpha ) = \frac{opp}{adj} = \frac{x}{1836.3} [/tex]

[tex] \tan( 59.9 ) = \frac{x}{1836.3} [/tex]

[tex]x = 1836.3 \times \tan(59.9) [/tex]

[tex]x = 3167.78[/tex]

Rounding to the nearest tenth

[tex]x = 3170[/tex]

Answer:6 rows per minute

Step-by-step explanation:

Answer:

answer is 150

Step-by-step explanation:

answer is 150

Answer:

Step-by-step explanation:

Combine like terms:

21r - 6

Add them and dividde by the number of numbers, which is 3.

112 + 109 + 115 = 336

336/3 = 112.

The average is 112.

Answer:

4

Step-by-step explanation:

12/3= 4

Answer:

4 bottles

Step-by-step explanation:

Use a proportion.

12 bottles are to $9 as x bottles are to $3.

12/9 = x/3

4/3 = x/3

x = 4

Answer: 4 bottles

Answer:

P= 3200 cm

Step-by-step explanation:

Perimeter = 2(l+w)

In this case since the perimeter has to be in centimeters, we have to change the length of the rectangle to centimeter.

12 meter to centimer = 12 x 100 = 1200 cm

2( 1200 +400)

2 (1600)

=  3200 cm

Answer:

between 2 and 12.

Step-by-step explanation:

Hope this helps :)

Answer:

B

Step-by-step explanation:

the cube (this is the ³ at the end of the numerator) of

the difference of 5 times the square of y and 7 :

(5y² - 7)

all divided by the square (that is the ² at the end of the denominator) of

2 times y :

(2y)

A would be

((5y)² - 7)³/(2y)²

C would be

(((5y)²)³ - 7)/(2y²)

D would be

(5y² - 7)³/(2y²)

Answer:

96 inches

Step-by-step explanation:

Given the following question:

12 inches = 1 foot

To find the answer we simply need to multiply 12 by 8, since every 12 inches are equal to 1 foot and we need to find how many inches are in 8 feet.

[tex]12in=1ft[/tex]
[tex]8\times12=96[/tex]
[tex]=96in[/tex]

8 feet is equal to "96 inches."

Hope this helps.

Answer:

-20 represents 20m below sea level.

-90 represents a movement of 90m to the South.

The option which gets you more pizza is two 12" pizzas.

It can be defined as the longest chord of the circle and it is twice the size of  a radius.

We were told that one 18" pizza or two 12" pizzas costs the same and the one with the largest size is two 12" pizzas which was why it was chosen as the most appropriate choice.

Read more about Diameter here https://brainly.com/question/23220731

Answer:

10/9 is the simplified fraction for 50/45.

Step-by-step explanation: