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2 years ago

Clint found the area of the parallelogram shown. Which statement explains the error Clint made?

Mathematics

2 answers:

NikAS [45]2 years ago

7 0

Answer:

B is the answer

Step-by-step explanation:

Bond [772]2 years ago

7 0

Answer:

The solution is B

Step-by-step explanation:

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The hypotenuse of a 45 -45° -90° triangle measures 18 cm. What is the length of one leg of the triangle?

sdas [7]

<h2>Steps</h2>

So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

$x\sqrt{2} =18$

From here we can solve for x. Firstly, divide both sides by √2.

$x=\frac{18}{\sqrt{2}}$

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

$\frac{18}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{18\sqrt{2}}{2}\\\\\\x=\frac{18\sqrt{2}}{2}$

Next, divide:

$x=9\sqrt{2}$

<h2>Answer</h2>

<u>In short, the length of one leg of the triangle is 9√2 cm.</u>

5 0

2 years ago

Read 2 more answers

The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%. Between station A and station B, which

saveliy_v [14]

Answer:

x = 3.1 %

Step-by-step explanation:

Let x be the slope the track.

Given:

Distance between station A and B = 270 ft

Track rise = $8\frac{1}{2} = \frac{17}{2} = 8.5\ ft$

We need to find the slope of the railway track between station A an B.

Solution:

The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.

We know that slope of the railway track is equal to gradient of the tracks.

So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.

$Slope\ of\ the\ the\ tracks =\frac{Distance\ between\ two\ stations}{track\ rises}$

$x=\frac{8.5}{270}\times 100$

x = 3.1 %

So x = 3.1 % less than the maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.

Therefore, x = 3.1 % meets the rapid-transit rail standards.

5 0

2 years ago

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,

Damm [24]

Answer:

Susan's take-home pay <u>$48,645</u>.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

<u><em>Social security tax = 6.2% of $70,000.</em></u>

$=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.$

<u><em>Medicare tax = 1.45% of $70,000.</em></u>

$=\frac{1.45}{100} \times 70000\\\\=0.0145\times 70000\\\\=\$1015.$

Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

$70,000-(12,000+4,000+4340+1015)$

$=70,000-(21,355)$

$=70,000-21,355$

$=\$48,645.$

Therefore, Susan's take-home pay $48,645.

7 0

2 years ago

A local cable company claims that the proportion of people who have Internet access is less than 63%. To test this claim, a rand

MaRussiya [10]

Answer:

Step-by-step explanation:

For the null hypothesis,

H0 : p = 0.63

For the alternative hypothesis,

Ha : p < 0.63

This is a left tailed test

Considering the population proportion, probability of success, p = 0.63

q = probability of failure = 1 - p

q = 1 - 0.63 = 0.37

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 478

n = number of samples = 800

P = 478/800 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76

From the normal distribution table, the area below the test z score in the left tail 0.039

Thus

p = 0.039

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2 years ago

Given: FH ⊥ GH; KJ ⊥ GJ Prove: ΔFHG ~ ΔKJG Identify the steps that complete the proof. ♣ = ♦ = ♠ =

Feliz [49]

1 is all right angles are congruent 2 angles fgh is congruent to angle kgj 3 aa similarity theorem just took the test this are correct

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2 years ago

Read 2 more answers

Clint found the area of the parallelogram shown. Which statement explains the error Clint made?​

Clint found the area of the parallelogram shown. Which statement explains the error Clint made?