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vladimir2022 [97]
3 years ago
15

Find the area. Round to the nearest tenth.

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

Step-by-step explanation:

The area of a triangle is

A=\frac{1}{2}bh and we have the base (12m) and we need to find the height. Using Pythagorean's Theorem:

6^2=4^2+h^2\\36=16+h^2\\20=h^2\\h=2\sqrt{5}

That's the height that we will sub into the area formula:

A=\frac{1}{2}(12)(2\sqrt{5})\\A=12\sqrt{5}\\A=26.8

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Pizzeria Napoli sells a round pizza with diameter 16 inches and a square pizza with side length 15 inches. Which of the two shap
zavuch27 [327]

Answer: Square, 24 square inches

Step-by-step explanation:

Given

Diameter of round pizza d=16\ in.

Side of square pizza a=15\ in.

Area of circle \pi r^2

The area of a square is a^2

\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2

The area of square pizza is

A_2=15^2=225\ in.^2

Clearly, the area of square pizza is more and the difference in their area is

\Rightarrow A_2-A_1=225-201.088=23.91\approx\ 24\ in.^2

6 0
2 years ago
(SAT Prep) Find the value of x.
Delicious77 [7]

Answer: x=40°

Step-by-step explanation:

The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40

3 0
3 years ago
Read 2 more answers
A supermarket chain gathers data on the amount they spend on promotional material (e.g., coupons, etc.) and sales revenue genera
vazorg [7]
Answer: The predictor variable in this problem is the amount spent on promotional material.

Explanation: 

A predictor variable refers to variable needed to make a prediction of another variable. If we analyze the problem, we notice that the supermarket chain is predicting the sales revenue generated because once the supermarket spends on promotional material, it will result to sales revenue. Thus, the predictor variable is the amount spent on promotional material.
8 0
3 years ago
Help me again and agiain
stiks02 [169]

Answer:

7261.92

Step-by-step explanation:

Product means you mutilpy them together

5 0
3 years ago
Read 2 more answers
X-3 and 2x-1 are factors of 2x^3-px^2-2qx+q. Find the values of p and q.
Nonamiya [84]

Answer:

p =1

q = 9

Step-by-step explanation:

f(x) = 2x³ - px² + 2qx + q

(x - 3) is a factor of f(x)

⇒f(3)  = 0

2(3)³ - p*3² - 2q*3 +q = 0

2*27 - 9p - 6q + q = 0

    54 - 9p - 5q = 0

            -9p - 5q = -54 -------------------(I)

(2x - 1) is a factor of f(x)

2x - 1 = 0

      2x = 1

        \st x = \dfrac{1}{2}

f(1/2) = 0

2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\

1 - p = 0

    -p = -1

p = 1

Substitute p =1 in equation (I)

-9*1 - 5q = -54

 -9 - 5q = -54

      -5q = -54 + 9

      -5q = -45

           q = -45/(-5)

q = 9

8 0
2 years ago
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