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inna [77]
3 years ago
7

Darren can get to work in 30 minutes. the speed limit is 35 mph, but there are three stop lights. with the traffic and lights, h

e can average 30 mph. how far is he from work?
Mathematics
1 answer:
Radda [10]3 years ago
3 0
To solve this problem you must apply the proccedure shown below:
 1. You have that Darren can get to work in 30 minutes and <span>with the traffic and lights, he can average </span>30 mph<span>.Therefore, you must apply the formula for calculate the distance, which is:
 </span>d=Vt&#10;<span>
 Where </span>V<span> is the speed and </span>t&#10;<span> is the time.
 2. The time in hours is:
 </span>30 min=1/2 h&#10;<span>
 3. Substituying values, you have:
 </span>d=(30 mph)(1/2 h) \\ d=15 miles
<span> The answer is:</span>15 miles
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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
Plz someone help. Urgent homework.
Arlecino [84]

Answer:

1

Step-by-step explanation:

4 0
3 years ago
2 3/4 - 1 1/8=?
Airida [17]
Basically you need to make the denominator (whats on the bottom) the same, lets take the first one for example


2 3/4, lets put this all over 4 for the same denominator.

2=8/4, and then add this to 3/4 to get 11/4.

the second part will work the same way,

start by making 1 into 8/8. add this to 1/8 to get 9/8


now we have to add 11/4 and 9/8. to do this, you have to find the smallest multiple between the two (for example: between 6 and 4 it would be 12, since 4*3= 12, and 2*6=12)

now, the smallest common multiple between 4 and 8 would just be 8


11/4= 22/8, since you multiply the bottom and top by the same amount so it still equals 11/4, but your denominator will now be 8.


now you can subtract. 22/8- 9/8= 13/8


final answer: 13/8


try the rest yourself since this is important for later math, hoped this helped :)


3 0
2 years ago
Read 2 more answers
Let f be defined as shown on the graph. Which statement is true?
satela [25.4K]
The inverse of f does NOT exist. The reason why is because the function fails the horizontal line test. Recall that the horizontal line test is a test where you try to see if you can pass a single horizontal line through more than one point on the function curve. If you can get the horizontal line to pass through more than one point, then it fails the test. It's very similar to the vertical line test.
4 0
3 years ago
2x + 5<br> Find the val<br> 3x+15
Crank

Answer:

<u>Step 1:  Find the x</u>

2x + 5:  Solve

2x + 5 - 5 = 0 - 5

2x / 2 = -5 / 2

x = -5/2

3x + 15:  Solve

3x + 15 - 15 = 0 - 15

3x / 3 = -15 / 3

x = -5

3 0
3 years ago
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