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Rudik [331]
3 years ago
12

The area of a piece of pie in the shape of a sector is 7.1 in^2. The angle of the sector is 40°. Round your answers to the neare

st tenth if necessary.
What is the area of the entire pie?

The area of the entire pie is _____ in^2.

What is the diameter of the pie?

The diameter of the pie is d ≈ _____ in.
Mathematics
1 answer:
Anika [276]3 years ago
7 0
3.14 is the diameter of pie
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5 cooks, 13 waiters and 4 other staff work at a restaurant. What is the ratio of cooks to waiters to other staff?
devlian [24]

Answer:

1:4:1.5

Step-by-step explanation:

8 0
2 years ago
Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured
Anarel [89]
Answer: You start to ascend

Explanation:

Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.

Let 

y' = y-coordinate after walking due south
z' = z-coordinate (or the height) after walking due south

So, the point where you stand after walking due south has a coordinate of (100, y', z'). Moreover,

z' = 1,400 - 0.05(100)^2 - 0.01(y')^2
\\ \boxed{z' = 1350 - 0.01(y')^2}

Since the y-coordinate decreases after walking due south and z' = 1350 - 0.01(y')^2,

y'  \leq 120\\ \Rightarrow (y')^2 \leq 120^2 = 14,400\\ \Rightarrow -0.01(y')^2 \geq -0.01(14,400) = -144\\ \Rightarrow z' = 1,350 - 0.01(y')^2 \geq 1,350 - 0.01(14,400) = 1,206\\ \Rightarrow \boxed{z' \geq 1,206}

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
5 0
3 years ago
Question 16
Artyom0805 [142]

Answer:

16

Step-by-step explanation:

5 + 9 \div 3 + 4  \times  2 \\  = 5 + 3 + 8 \\  = 16

Multiplication and division are priority to addition and subtraction

Brainliest please

7 0
2 years ago
I would appreciate it if someone could help answer this problem:)
miskamm [114]

Answer:

Sum of Interior Angles = 900°

One Interior Angle = 128.57°

Step-by-step explanation:

We know that the figure is a Heptagon (a 7 sided polygon), therefore;

→ As by the formula of (n - 2) * 180° we can find the sum of the interior angles;

=> (n - 2) * 180 = Sum of Interior Angles

=> (7 - 2) * 180 = Sum of Interior Angles

=> 5 * 180 = Sum of Interior Angles

=> <u>900° = Sum of Interior Angles</u>

Now that we know the sum of interior angles,

→ We can find 1 interior angle by dividing the sum by the number of sides in the polygon.

=> Sum of Interior Angles / n = One Interior Angle

=> 900 / 7 = One Interior Angle

=> <u>128.57° = One Interior Angle</u>

Hope this helps!

7 0
2 years ago
Read 2 more answers
Determine the perimeter of the triangle.<br> 3x<br> x + 6<br> 5x – 7
Gekata [30.6K]

Answer:

9x-1

Step-by-step explanation:

The perimeter of the triangle is adding up all 3 sides.

(3x)+(x+6)+(5x-7)=P

9x-1 = perimeter

All I have done is combine like terms.

If there is a... x = something, replace x with the number.

8 0
2 years ago
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