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shtirl [24]
2 years ago
14

A ski-lodge casts a 3-foot long shadow. at the same time, a 3.5 foot ski pole sticking vertically out of the snow casts a 0.5 fo

ot shadow. in feet, how tall is the lodge?
Mathematics
1 answer:
Alisiya [41]2 years ago
3 0

Answer:

The lodge is 21 feet tall.

Step-by-step explanation:

Ski Lodge:

object/shadow

x/3

Ski Pole:

object/shadow

3.5/0.5

Solve for x:

x/3 = 3.5/0.5

0.5x = 10.5

x = 21

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podryga [215]

Answer:  ∠B = 50°

               ∠BCD = 40°

<u>Step-by-step explanation:</u>

ACB is a right triangle where ∠A = 40° and ∠C = 90°.

Use the Triangle Sum Theorem for ΔABC to find ∠B:

∠A + ∠B + ∠C = 180°

40° + ∠B + 90° = 180°

         ∠B + 130° = 180°

                  ∠B = 50°

BCD is a right triangle where ∠B = 50° and ∠D = 90°.

Use the Triangle Sum Theorem for ΔBCD to find ∠C:

∠B + ∠C + ∠D = 180°

50° + ∠C + 90° = 180°

         ∠C + 140° = 180°

                  ∠C = 40°

8 0
3 years ago
If 100% of something is 200 What do you think 110% is? Explain your answer
kupik [55]
110 % of something is 110/100 = 1.1 times that something

so 110%  = 200 * 1.1 = 220 answer
8 0
3 years ago
((10 - 3)2 + 7)- 4 + 62
Snowcat [4.5K]
The answer for this question is 79 :)
3 0
3 years ago
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Describe the graph of the function f(x) = 2x^3 +14x^2 +13x +6. Include the y-intercept, x-intercepts, and the shape of the graph
vovikov84 [41]

f(x) = 2x^{3} + 14x^{2} + 13x + 6

The graph is attached below.

In order to find the y-intercept, check the graph and see where it hits the y-axis, so in this case the y-intercept would be  at (0,6).

To find the x-intercept, check the graph and see where it hits the x-axis, and here it hits at x = -6.


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3 years ago
20 points
alexira [117]
We have to determine the constant in the equation, which shows how Eric can calculate his profit ( y ). He sells each shirt for $4 and he has total expenses: $100 + $10 = $110. So the equation for profit is: y = 4 x - 100. In this equation y is dependent variable, x is independent variable, 4 is coefficient and - 100 is the constant. A constant is a number ( a quantity that does not vary ). Answer: D ) - 110<span>.</span>
3 0
3 years ago
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