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sertanlavr [38]
2 years ago
13

A car is traveling at a speed of 44 feet per second. what is the car's speed in miles per hour? how many miles will the car trav

el in 4 hours? in your computations, use the fact that 1 mile is equal to 5280 feet
Mathematics
2 answers:
amid [387]2 years ago
8 0
44ft/sec  = 44/5280 divided by (1/3600 = 30 miles per hour <span> 

Distance traveled in 5 hrs = speed * time = 30 * 5 = 150 miles </span>
Sladkaya [172]2 years ago
4 0
44 feet. 3600 seconds. 1 mile
----------- ---------------------- -----------
1 second 1 hour. 5280 feet

I wrote it this way so the units cancel out. You are multiplying the fractions by each other

The car is going 30 mph, and will go 120 miles in 4 hours.
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If Angela $98,760 home appreciates 3% a year will she have enough appreciation to try to sell a home for a $15,000 profit in fiv
olasank [31]

Answer:

Yes

Step-by-step explanation:

So, first, in 5 years, the home will have appreciated by 15%. (5 years times 3%). Once you find 15% of 98760, which is 658400, you have to add it on to the original price of the house. At this point, the house costs 757160 dollars. You then subtract the original price of the house from the price of the house 5 years from now. (757160-98760) and you get 658400. As you can tell, 658400>15000. Therefore, the answer is yes.

3 0
2 years ago
Find x please help thank you
Angelina_Jolie [31]

Answer: x=(7√6)/2

Step-by-step explanation:

To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.

For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.

Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.

The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.

7√3=x√2           [divide both sides by √2]

x=(7√6)/2

Now, we know x=(7√6)/2.

8 0
3 years ago
Solve for x in the triangle. Round your answer to the nearest tenth.
hodyreva [135]

Answer:

x ≈ 11.7

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos26° = \frac{adjacent}{hypotenuse} = \frac{x}{13} ( multiply both sides by 13 )

13 × cos26° = x , then

x ≈ 11.7 ( to the nearest tenth )

4 0
2 years ago
Write a compound inequality to represent all of the numbers between -4 and 6.
svetlana [45]
-4<x<6 would be the compound inequality
6 0
3 years ago
What is the value of x?<br> Enter your answer in the box.<br> x =
Svetllana [295]

Answer:

Step-by-step explanation:

The two triangles are similar and therefore we can set up a proportion

9/(9 + 72) = (3x - 20)/(3x - 20 + 56)       Combine like terms on the right

9/(81) = (3x - 20)/(3x + 36)                      Cross multiply

9(3x + 36) = 81 (3x - 20)                         Remove the brackets.

27x + 324 +1620 = 243x                        Add 1620 to both sides

27x + 324 + 1620 = 243x                       Subtract 27x from both

1944 = 216x                                            divide both sides by 216

x = 9                                  

If you feel comfortable canceling the size of the numbers can be reduced.

9/81 = 1/9

1/9 = (3x - 20)/(3x + 36)

3x + 36 = 9(3x - 20)

3x + 36 = 27x - 180

36 + 180 = 24x

216 = 24x

216/24 = x

x = 9

There is another cancelation possible, but this is simple enough.

6 0
3 years ago
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