Answer:
139
Step-by-step explanation:
First, find all the faces that you must find the areas of. In this case, you need to find the areas of two triangles and three rectangles.
In this triangular prism, the base is one triangle. If the area of the base is 7.75, we can assume that that holds true for both bases, and multiply 7.75 by 2 in order to find the area of both triangles.
Now find the area of each of the three rectangles by multiplying their individual heights and bases by each other. You should get 38, 47.5, and 38 as the areas of the rectangles.
Now add all the individual area's together. (They're bolded for clarity).
In 3 metres there are 300 centimetres. Each centimetre on the scale is 300 centimeters, or a ratio of 1:300. The tree is 5 centimetres on the scale. Each centimeter on the scale is 300 centimetres, therefore 5 centimetres on the scale is 1500 centimetres. 1500 centimetres is equal to 15 metres.
Answer:
75°
Step-by-step explanation:
Since the 2 angles are supplementary and TC is a perpendicular bisector, we know that m∠ATC is 90°
All we need to do is simply subtract 15° from 90° to find m∠ATB:
90 - 15 = 75°
Answer:
The answer to your question is:
x₁ = 0
x₂ = -3
x₃ = 3
Step-by-step explanation:
Equation 4x³ = 36 x
Process
4x³ - 36x = 0
4x (x² - 9) = 0
4x (x + 3)(x - 3) = 0
Finally
4x = 0 x + 3 = 0 x -3 = 0
x = 0/4 x₂ = -3 x₃ = 3
x₁ = 0
Answer:
k=45
Step-by-step explanation:
Since the sum of the measures are 180 and the measures are 45 degrees, k degrees, and 2k degrees, we can conclude that 
. 2k and k are like terms, so you can add 2k and k to get 3k.Then, you would have 
. Since you are finding k, you want to isolate k as best you can. To do this, you subtract 45 on both sides 
as shown by the equation, 180-45 is 135. Then, you divide 3 on both sides to get k=45.
