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2 years ago

⦁ What is the sum of the measures of the exterior angles in a heptagon? Explain.

Mathematics

1 answer:

Ratling [72]2 years ago

6 0

<span>Your answer would be 360 the sum of the exterior angles of any convex polygon is 360 degrees</span>

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The gray area is the sidewalk. the area of the sidewalk is ___________ square units.

Bas_tet [7]

The area of the sidewalk is 72 square units. Solution: First, multiply 10 by 12 which equals 120. Then, subtract 6x8=48. So, therefore, 120-48= 72

5 0

2 years ago

What is the p(3,1,2) on rolls of a die

Anna35 [415]

Number 3 is 1/6 to role a 1 on the second roll is 1/36= 1/6 X 1/6
to get 2 on the third role is 1/216 so the probability is 1/216

3 0

2 years ago

Find the area of the part of the plane 3x 2y z = 6 that lies in the first octant.

gavmur [86]

The area of the part of the plane 3x 2y z = 6 that lies in the first octant is mathematically given as

A=3 √(4) units ^2

<h3>What is the area of the part of the plane 3x 2y z = 6 that lies in the first octant.?</h3>

Generally, the equation for is mathematically given as

The Figure is the x-y plane triangle formed by the shading. The formula for the surface area of a z=f(x, y) surface is as follows:

$A=\iint_{R_{x y}} \sqrt{f_{x}^{2}+f_{y}^{2}+1} d x d y(1)$

The partial derivatives of a function are f x and f y.

$\begin{aligned}&Z=f(x)=6-3 x-2 y \\&=\frac{\partial f(x)}{\partial x}=-3 \\&=\frac{\partial f(y)}{\partial y}=-2\end{aligned}$

When these numbers are plugged into equation (1) and the integrals are given bounds, we get:

$&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{(-3)^{2}+(-2)^2+1dxdy} \\\\&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{14} d x d y \\\\&=\sqrt{14} \int_{0}^{2}[y]_{0}^{3-\frac{3}{2} x} d x d y \\\\&=\sqrt{14} \int_{0}^{2}\left[3-\frac{3}{2} x\right] d x \\\\$

$&=\sqrt{14}\left[3 x-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3.2-\frac{3}{2} \cdot \frac{1}{2} \cdot 3^{2}\right] \\\\&=3 \sqrt{14} \text { units }{ }^{2}$

In conclusion, the area is

A=3 √4 units ^2

Read more about the plane

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5 0

9 months ago

A gallon of latex paint can cover 600 square feet. Maria has a rectangular room whose dimensions are 23 feet by 10 feet, with 7

Zolol [24]

Answer: 3,220

Step-by-step explanation: What you do first is find the volume of the room which is 1,610. So after that you multiply 1,610 by 2 since Maria wants "two" coats of paint on each wall.

8 0

2 years ago

Read 2 more answers

Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used

Mama L [17]

Answer:

70m²

Step-by-step explanation:

Area of the plot=½×28×15

= 210m²

Area used by rose plants=⅔×210 =140m²

Area used by marigold=210-140

=70m²

6 0

2 years ago