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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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Convert y = 8x^2-80x-32 to vertex form by completing the square. ​
lidiya [134]

Answer:

y = 8(x-5)^2 -232

Step-by-step explanation:

Factor out the 8 to get

y = 8(x^2-10x-4)

y = 8(x-5)^2 -232

8 0
3 years ago
Read 2 more answers
Which expression represents "4 less than the product of 2 and a number,<br> e"?
vlabodo [156]

Answer:

2 x e-4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the probability of rolling an even number or a perfect square using a 20-sided die?
Gemiola [76]

Answer:

C) 12/20

Step-by-step explanation:

Between 1 and 20, 10 numbers are even, 4 numbers are perfect squares (1, 4, 9, and 16), and 2 numbers are both even and perfect squares (4 and 16).

So the probability is:

(10 + 4 − 2) / 20 = 12/20.

8 0
3 years ago
Please explain the how you got the answers thanks asap
stich3 [128]

Answer:

a) 90 stamps

b) 108 stamps

c) 333 stamps

Step-by-step explanation:

Whenever you have ratios, just treat them like you would a fraction! For example, a ratio of 1:2 can also look like 1/2!

In this context, you have a ratio of 1:1.5 that represents the ratio of Canadian stamps to stamps from the rest of the world. You can set up two fractions and set them equal to each other in order to solve for the unknown number of Canadian stamps. 1/1.5 is representative of Canada/rest of world. So is x/135, because you are solving for the actual number of Canadian stamps and you already know how many stamps you have from the rest of the world. Set 1/1.5 equal to x/135, and solve for x by cross multiplying. You'll end up with 90.

Solve using the same method for the US! This will look like 1.2/1.5 = x/135. Solve for x, and get 108!

Now, simply add all your stamps together: 90 + 108 + 135. This gets you a total of 333 stamps!

5 0
3 years ago
Jeremy used a total of 16 sticks to support his vegetables. The sticks were 55cm and 75cm long and the sum of their lengths was
svetoff [14.1K]
9 longer sticks were used.
This is how i get it.
1. change m to cm, 1m =100cm
2. add both together, divide by 16 =8.125. Which means 1 of the stick should more than 8, and 1 of the other stick should be less than 8
3. substitute the equation
4.(55 x 7)+(75 x 9) =1060

5 0
3 years ago
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