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Taya2010 [7]
2 years ago
11

If a circle has a radius of 50 cm what is the area

Mathematics
1 answer:
marin [14]2 years ago
3 0
Area = pi(r^2)
Area = (3.14)(50^2)
Area = (3.14)(2,500)
The area is 7,850 units
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A woman stands 15 ft from a statue. She looks up at an angle of 60° to see the top of the statue. Her eye level is 5 ft above th
Novay_Z [31]

Answer:

31 ft

Step-by-step explanation:

Let the Woman's Eye level be at Band the top of the statue be at C in the attached diagram.

We want to calculate the height CE of the statue.

CE=CD+DE

First we find CD using trigonometry

Tan 60=CD/15

CD=15 X Tan 60

=25.98 ft

DE=AB= 5ft( Sides of a Rectangle)

Therefore the height of the statue

CE=CD+DE = 25.98+5=30.98 ft

=31ft( to the nearest foot)

4 0
3 years ago
What is the solution of the equation
irina [24]

13 3/4 + x = 7 1/4
x = 7 1/4 - 13 3/4
x = 29/4 - 55/4
x = 26/4
x = 6 2/4
x = 6 1/2

7 0
3 years ago
The key club made $192 at their candle sale.They sold round candles for $4 and square candles for $6.If they sold twice as many
VARVARA [1.3K]
The answer will be 16x = 192 and x= 12 because the amount collected =x + 6 times 2x = 192

7 0
2 years ago
Read 2 more answers
The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i
madam [21]

You're looking for the extreme values of T(x,y,z)=3x+6y-6z+1 subject to x^2+y^2+z^2=9. The Lagrangian is

L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)

with critical wherever the partial derivatives vanish:

L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}

L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda

L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda

L_\lambda=x^2+y^2+z^2-9=0

Substituting the first three solutions into the last equation gives

\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9

\implies\lambda=\pm\dfrac32

\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2

At these points, we have

T(1,2,-2)=28

T(-1,-2,2)=-26

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

6 0
3 years ago
D says reflection across y=x please help
antoniya [11.8K]
The answer should be A.
7 0
3 years ago
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