Answer:32.1428571429 feet
Step-by-step explanation:
The flag is 15 feet.
It's shadow is 10.5 feet.
15/10.5=1.4285714286.
So the flag is above mentioned times of the shadow.
And the tree's hight will be,
22.5*1.4285714286
=32.1428571429 feet.
Answer:
12 ft²
50 ft²
Step-by-step explanation:
∆ABD = ∆CBD
Perimeter of ∆ABD = 12 ft²
Perimeter of triangle ∆CBD
If ∆ABD = ∆CBD
Then, Perimeter of ∆CBD = 12 ft²
∆ABC = ∆CDA
Area of ∆ABC = 25 ft²
Then the area of rectangle ABCD = Area of ∆ABC + Area of ∆CDA
= 25 ft² + 25 ft²
= 50 ft²
Answer:
15
Step-by-step explanation:
2(4)=8
8+7=15
hope this helped, have a blessed day!
Answer:
504 ft^3
Step-by-step explanation:
Ok, so we have the equation for the cylinder as well as the rectangular prism. Basically we're just going to find the volume of each of them separately and then add them together.
Let's start with the cylinder:
V(cylinder) = pi*r^2*h
pi = 3
d = 4ft
r = d/2 = 4/2 = 2ft
h = 12ft
V(cylinder) = (3)*(2^2)*(12)
V(cylinder) = 3*4*12
V(cylinder) = 144 ft^3
Now the rectangular prism:
V(rectangular prism) = l*w*h
l = 10ft
w = 6ft
h = 6ft
V(rectangular prism) = 10*6*6
V(rectangular prism) = 360 ft^3
Now we can add them together:
V(total) = 360 + 144
V(total) = 504 ft^3
Let's solve this problem step-by-step.
Let's first establish the following formula:
Angle sum of a triangle = 180°
Also, note that the square shape in the top-right corner of the triangle indicates that it is a right-angle. This means that, that angle is equal to 90°.
Now, let's establish the equation we will be using to solve this problem based on the previous information as displayed below:
m + 38° + 90° = 180°
We will now simply solve the equation in order to obtain the value of ( m ) as display below:
m + 38° + 90° = 180°
m = 180 - 38 - 90
m = 52°
ANSWER:
Therefore, the answer is:
C. 52 degrees.
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Thank you : )
