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Mashutka [201]
3 years ago
13

A train travels 4.4 miles in

Mathematics
1 answer:
Ugo [173]3 years ago
3 0

Answer:

63.8 miles

Step-by-step explanation:

If the train travels 4.4 miles in 4 minutes, then you have to divide 4.4/4 to find the miles the train travels per minute.

4.4/4 = 1.1

So, since the train travels 1.1 miles per minute, and we want to know how fast it travels in 58 minutes, we have to multiply 1.1 by 58. Since 1.1 is a decimal number, we have to multiply both sides by 10 to get 11x580.

11x580 = 5800+ 580 = 6380

Since we multiplied both numbers by 10, we have to divide 6380 by 100.

6380/100 = 63.8

So, the train travels 63.8 miles in 58 minutes.

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Use the information and diagram to answer the following question.
nevsk [136]

Answer:

910 ft

Step-by-step explanation:

This question sets up the equation tan20°=x/2,500. Solve for X by multiplying 2,500 on both sides giving you x = 2,500tan20°. Finally, plug that in a calculator and you get 909.92. Round it to the nearest foot and you get 910

5 0
3 years ago
PLZ HELP ME I DONT UNDERSTAND<br><br>Image attached<br><br>Find the value of x.
Soloha48 [4]
They are vertical angles, thus they are equal to each other:

5x + 12 = 6x - 10
22 = x

x = 22
8 0
3 years ago
Read 2 more answers
Right △EFG has its right angle at F, EG=8 , and FG=2 .
d1i1m1o1n [39]

Answer:

Tan E = 2 / 7.75

Sin G = 7.75 / 8

Sec G = 4

Step-by-step explanation:

Find the attached document for better illustration of the triangle

Assuming the hypothenus of the triangle is 8 = EG since it's the longest side of the triangle.

FG = 2 = opposite side of the triangle.

We can use pythagorean theorem to find the adjacent of the triangle since we already know two sides.

EG² = FG² + EF²

EF² = EG² - FG²

EF² = 8² - 2²

EF² = 64 - 4

EF² = 60

EF = √(60)

EF = 7.7459 = 7.75

To find the respective trignometric ratio, we can use the relation SOH CAH TOA

Sine = opposite / hypothenus

Cosine = adjacent/ hypothenus

Tangent = opposite/ adjacent

A. tan E

Tan E = opposite/ adjacent

Tan E = 2 / 7.75

Tan E = 0.2580

B. Sin G = opposite / hypothenus

Sin G = 7.75 / 8

Sin G = 0.9687

C. Sec G = 1 / cos G

Cos G = adjacent / hypothenus

Sec G = 1 / (adjacent / hypothenus)

Sec G = hypothenus/ adjacent

Sec G = 8 / 2

Sec G = 4

5 0
3 years ago
Help binomial distributions
Ymorist [56]

We have the formula to compute the probability of having exactly k successed over n trials, given a probability p of success (and implicitly a probability 1-p of failure), which is


P(\text{k successed on n trials}) = \binom{n}{k}p^k(1-p)^{n-k}


Now, the probability of at least 3 successes is the union of the following event: exactly three successes,exactly four successes and exactly five successes.


We can compute their probability and sum them:\binom{5}{3}\left(\frac{3}{7}\right)^3\left(\frac{4}{7}\right)^2 + \binom{5}{4}\left(\frac{3}{7}\right)^4\left(\frac{4}{7}\right)^1 + \binom{5}{5}\left(\frac{3}{7}\right)^5 \approx 0.36788


So, the answer is about 36.79%

3 0
3 years ago
What would this answer be?
WARRIOR [948]
The answer is 29 5/24
7 0
3 years ago
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