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Dahasolnce [82]
3 years ago
7

You and a friend want to know how much rope you need to climb a large rock.  Your friend is 5.5 feet tall and casts a shadow tha

t is 18 feet long.  If the rock casts a shadow that is 209.5 feet long, calculate the height of the rock from the ground.  Round your answer to the nearest foot.  (Hint: make a drawing)

Mathematics
1 answer:
siniylev [52]3 years ago
6 0
The drawing shows the rock height to be 64 ft.

The shadow lengths are proportional to the object heights, so we have
   (rock height)/(209.5 ft) = (5.5 ft)/(18 ft)
   (rock height) = (209.5 ft)*(5.5/18) ≈ 64.01 ft

The height of the rock from the ground is about 64 ft.

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Choose the equation and the inequality needed to answer this question.
Svet_ta [14]
E is the answer. In order for Trevor to make more than 180, the number of total hours he works has to be greater than (>) $180. French hours are $15 an hour represented by 15x and ice cream hours are $10 an hour represented by 10y. So 15x+10y>180.
4 0
3 years ago
3х - у = -3<br>х+у= -1 using elimination <br>method​
Vesnalui [34]

Answer:

Your solution is (-1, 0)

Step-by-step explanation:

3x - y = -3

x + y = -1

The elimination method <em>eliminates</em> one variable at a time to find the other variable.

Here we can see that the y variable will naturally be eliminated.

3x - y = -3

x + y = -1

--------------

4x = -4

Divide both sides by 4 to isolate x.

x = -1

Now plug this value back into one of the equations.

3(-1) - y = -3

Multiply.

-3 - y = -3

Add 3 to both sides.

-y = 0

Divide both sides by -1.

y = 0

Your solution is (-1, 0)

Check this solution by plugging these values into the second equation.

-1 + 0 = -1

-1 = -1

Your solution is correct.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Rewrite using the distributive property -9(y+5)
Maurinko [17]

Answer:

-9y-45

Step-by-step explanation:

-9(y+5)

-9y-45

3 0
3 years ago
Read 2 more answers
Choose a number between and that is a multiple 45 of and 95 . Write all the numbers that she could choose. If there is more than
AnnZ [28]

Answer with explanation:

To find the common multiple of 45 and 95,we will find HCF of 45 and 95.

45=3 × 3× 5

95=5 × 19

⇒H CF(45,95)

=3 × 3×5×19

=855

→Common multiple of 45 and 95 =855

→There are infinite number of multiple of 855 which are 855, 1710, 2565,.....

You have not written between which two numbers.So, you should write multiple of 855 such that it is smaller than the greater number.

7 0
3 years ago
This is due today please helpppp meeee I really need help
Inga [223]

Answer:

Carla's suitcase was a better purchase.

Step-by-step explanation:

The complete question is:

Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?

Solution:

Cost Price of Carla's suitcase = $75

       Discount% for Carla = 19%

       The amount paid by Carla is,

       

       So, the amount paid by Carla was, $60.75.

Cost Price of Jeana's suitcase = $85

       Discount% for Jeana = 20%

       The amount paid by Jeana is,

       

       So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

5 0
3 years ago
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