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viktelen [127]
3 years ago
5

Find the area. please

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

16 cm²  

Step-by-step explanation:

The figure is a trapezoid with two parallel sides.

The formula for the area is

A = ½(a + b)h

Data:

a = 5 cm

b = 3 cm

h = 4 cm

Calculation:

A = ½(5 + 3) × 4 = ½ × 8 × 4 = 16 cm²

The area of the trapezoid is 16 cm².

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What is the answer to (z+1)(z+2)
stich3 [128]

Answer:

z^1+3z+2

Step-by-step explanation:

(z+1)(z+1)

Multiply each term in the first parenthesis by each term in the second parenthesis

Z x z+2z+z+2

Calculate the product

<u>z</u>^2 +2z+z+2

collect like terms

z^2+3z+2

2z+z

If a term doesnt have a coefficient it is considered that the coefficient is 1

2z+1z

(2+1)z

(2+1)z

3z

z^2+3z+2

4 0
3 years ago
Read 2 more answers
1) h(x)=3x3<br>g(x)= - 4x+1<br>Find (h+g)(10)​
Aleksandr-060686 [28]

Answer:

(h+g)(10) = 2691

Step-by-step explanation:

h(x) = 3x^3\\g(x) = -4x+1

Adding both equations will make it:

(h+g)(x) = 3x^3-4x+1

Putting x = 10 will make it:

(h+g)(10) = 3(10)^3-4(10)+1

= 3(1000)-40+1

= 3000-39

= 2961

3 0
3 years ago
What is the simplified answer to 5/2
Yanka [14]
Maybe it the mixed number form. 2 1/2?
8 0
3 years ago
A rectangular prism and its dimensions are shown in the diagram.
Y_Kistochka [10]

Answer:

Surface Area =237.5

3 0
3 years ago
Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 custom
bagirrra123 [75]

Answer:

The best fit is <em>A. Linear model</em>

<em></em>

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1  = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1  = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a <em>linear change </em> in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

y =mx+c

Slope of a function:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500

So, the equation is:

y =-500x+c

Putting x = 20, y = 5000:

5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000

\Rightarrow \bold{y =-500x+15000}

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

-500 \times 18 +15000 = -9000+15000 = 6000 so, it is true.

So, the answer is:

The best fit is <em>A. Linear model</em>

6 0
3 years ago
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