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2 years ago

Needs some help please!

Mathematics

2 answers:

Elan Coil [88]2 years ago

7 0

85 + 23 + z = 180
108 + z = 180
Z = 180 - 108
Z = 72

serg [7]2 years ago

5 0

Answer:

72 degrees

Step-by-step explanation:

Because you want subtract both of the number from 180 because triangles angles always have to equal 180 degrees. I hope that helped! :)

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A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 16 ft less than the length

KATRIN_1 [288]

Let's say the length of the ladder is "d". Since the distance from the bottom of the ladder to the building is 16 feet less than the length, we can write this as d - 16.

The distance from the ground to the top of the ladder is 2 feet less than the length of the ladder, so we can denote this as

d - 2.

The shape made by the ground, ladder, and side of the building is a right triangle, and we just found its legs. We can use the Pythagorean Theorem to solve for "d" and find how far up the side of the building the ladder is:

(d - 16)^2 + (d - 2)^2 = d^2

(d^2 - 32d + 256) + (d^2 - 4d + 4) = d^2

2d^2 - 36d + 260 = d^2

d^2 - 36d + 260 = 0

(d - 26) * (d - 10) = 0

d = 26 or d = 10

The answer d = 10 does not fit in this case because it isn't possible to have 16 feet less of 10 feet; it would be negative!

So, d = 26. The top of the ladder to the ground is 2 less than d, so we do 26 - 2 = 24 feet.

The answer is 24 feet.

5 0

3 years ago

Read 2 more answers

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67 inches and a s

liq [111]

Answer:

a) 20.33% probability that the participant is less than 64.5 inches.

b) 33.72% probability that the participant is more than 68.25 inches

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 67, \sigma = 3$

a.) Find the probability that the participant is less than 64.5 inches?

This is the pvalue of Z when X = 64.5.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{64.5 - 67}{3}$

$Z = -0.83$

$Z = -0.83$ has a pvalue of 0.2033

20.33% probability that the participant is less than 64.5 inches.

b.) Find the probability that the participant is more than 68.25 inches?

This is 1 subtracted by the pvalue of Z when X = 68.25.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{68.25 - 67}{3}$

$Z = 0.42$

$Z = 0.42$ has a pvalue of 0.6628

1 - 0.6628 = 0.3372

33.72% probability that the participant is more than 68.25 inches

3 0

4 years ago

I'm thinking of a fraction that is equivalent to . The numerator is less than the denominator." What fraction is thinking of?

Vesna [10]

Answer:

Proper fraction

Step-by-step explanation:

If the numerator is less than the denominator , then it is proper fraction.

Example : $\frac{5}{8}, \frac{124}{1000}$

8 0

3 years ago

It takes Carl 45 minutes to drive to work using two roads. She drives 32 mph on a small road for 1/2 hour. Then she drives 56 mp

Ksivusya [100]

Answer:

The Total distance she travel fro work is 30 miles .

Step-by-step explanation:

Given as :

the total time taken to cover distance = 45 minutes

Let The total distance cover = D miles

The distance cover at the speed of 32 mph = $D_1$ miles

The time taken to cover $D_1$ miles distance = $\frac{1}{2}$ hour

Distance = Speed × Time

∴ $D_1$ = 32 mph × $\frac{1}{2}$ h

or, $D_1$ = 16 miles

Again ,

The distance cover at the speed of 56 mph = $D_2$ miles

The time taken to cover $D_2$ miles distance = $\frac{1}{4}$ hour

∴ $D_2$ = 56 mph × $\frac{1}{4}$ h

or, $D_2$ = 14 miles

So , The total distance she travel for work = $D_1$ + $D_2$

Or, The total distance she travel for work = 16 miles + 14 miles = 30 miles

Hence The Total distance she travel fro work is 30 miles . Answer

3 0

3 years ago

Milt built a prism using a 3 unit cubes. He adds two more layers of 3 unit cubes each.how many unit cubes are used for the prism

Scorpion4ik [409]

We know that
1) <span>Milt built a prism using a 3 unit cubes
total unit cubes is 3

2) </span><span>He adds two more layers of 3 unit cubes each
total unit cubes=3+2*3----> 9 unit cubes

the answer is
9 units cubes</span>

3 0

4 years ago