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andrezito [222]

2 years ago

14

A homeowner needs to construct a ramp to their front door. How long should the ramp be if the door is 4ft above the ground and t

he angle of elevation is 20°?

1 answer:

Nataliya [291]2 years ago

4 0

Step-by-step explanation:

we want to find the hypotenuse

soh cah toa

he have hypotenuse and opposite

soh

sin 20 = H/4

can u do the rest and put answer in comments please mark brainest

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What is the value of t in the equation t+12=30 ?

masha68 [24]

<span>Simplifying X + 12 = 30
Reorder the terms: 12 + X = 30
Solving 12 + X = 30
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-12' to each side of the equation. 12 + -12 + X = 30 + -12
Combine like terms: 12 + -12 = 0 0 + X = 30 + -12 X = 30 + -12
Combine like terms: 30 + -12 = 18 X = 18
Simplifying X = 18</span>

6 0

3 years ago

Read 2 more answers

Math: Just Sip Awhile Cafe has several pastries for sale.

dezoksy [38]

Total number of pastries = 54 + 31 + 10 = 95

Number of croissants = 10

Probability of picking a croissant = 10/95

On simplifying, we get, <u>2/19</u>

5 0

2 years ago

Will give brainliest

Anna [14]

Answer: 23.5

Step-by-step explanation: Divide 47.00 by 2 and you get 23.5

hope this helps

7 0

2 years ago

1. A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at n

Nuetrik [128]

Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

70% of fatalities involve an intoxicated driver, hence $p = 0.7$ .

A sample of 15 fatalities is taken, hence $n = 15$ .

The probability is:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

Hence

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{15,10}.(0.7)^{10}.(0.3)^{5} = 0.2061$

$P(X = 11) = C_{15,11}.(0.7)^{11}.(0.3)^{4} = 0.2186$

$P(X = 12) = C_{15,12}.(0.7)^{12}.(0.3)^{3} = 0.1700$

$P(X = 13) = C_{15,13}.(0.7)^{13}.(0.3)^{2} = 0.0916$

$P(X = 14) = C_{15,14}.(0.7)^{14}.(0.3)^{1} = 0.0305$

$P(X = 15) = C_{15,15}.(0.7)^{15}.(0.3)^{0} = 0.0047$

Then:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.2061 + 0.2186 + 0.1700 + 0.0916 + 0.0305 + 0.0047 = 0.7215$

0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

A similar problem is given at brainly.com/question/24863377

5 0

2 years ago

ABCD is a trapezoid. = 1 cm and = 5 cm, and the area = 7.5 cm2. What is the altitude of the trapezoid? 1.5 cm 2.5 cm 3 cm 2 cm

Ludmilka [50]

Answer:

2.5cm

Step-by-step explanation:

area of a trapeziod = 1/2 (a+b)×h

a=1cm

b=5cm

h=?

area= 7.5cm^2

••••• 7.5cm^2=1/2 (6)h

7.5= 3h

then height = 7.5/3= 2.5cm

8 0

3 years ago

Read 2 more answers