the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side

Answer:54.9

Step-by-step explanation:

Answer:

answer is 150

Step-by-step explanation:

hope it helps

Answer:

I think the answer is mary

Answer:

John

Step-by-step explanation:

Mary: 87%-88% (0.875)

John: 88% (0.884)

Joe: 81% (0.818)

Answer:

y=2

Step-by-step explanation:

Answer:

25 feet

Step-by-step explanation:

using the sides 20 and 15, use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2 side lengths and the diagonal.

[tex]a^{2} +b^{2} =c^{2} \\20^{2} +15^{2} =c^{2} \\400+225=c^{2} \\625=c^{2} \\25=c[/tex]

Answer:

n = 59

Step-by-step explanation:

There's definitely a better way, i just did math randomly but here goes:

First i squared both sides. which gets you:

[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]

Cleaning this up gives you:

[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]

Now move everything to the other side so we can square this equation again

[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]

Divide both sides by -2

[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]

square again

[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]

subtract n^2 from both sides, add 6n, and add 50

[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]

Put this back into the equation and you get a correct answer!

sqrt(59 + 5) = sqrt(64) = 8

sqrt(59-10) = sqrt(49) = 7

8 - 7 = 1

Answer:

SA = 56 sq mi

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

SA = 16 + 1/2(16)(5)

SA = 16 + 8(5)

SA = 16 + 40

Answer:

25.08

Step-by-step explanation:

Answer:

25.08 cubic feet

Step-by-step explanation:

v = l * w * h

v = 5.5 * 3.8 * 1.2

v = 25.08 cubic feet

Answer:

10 in

Step-by-step explanation:

Answer:

B. neither of them are solutions

Answer:

24 yards

Step-by-step explanation:

Given: 5 hours to mow 6 yards.

To find: At the same rate, how many yards can be mowed in 20 hours?

Solution: There are lots of different ways of solving this but I will show you setting up fractions to know how much 5 hours are for 6 yards let "x" be the variable

Step 1: Multiply all terms by the same value to eliminate fraction denominators

[tex]\frac{6}{5} = \frac{x}{20} \\\\20*\frac{6}{5} = 20 * \frac{x}{20}[/tex]

Step 2: Cancel multiplied terms that are in the denominator

[tex]20*\frac{6}{5} = 20 * \frac{x}{20}\\\\20 * \frac{6}{5} = x[/tex]

Step 3: Multiply the numbers

[tex]20 * \frac{6}{5} = x\\\\24 = x[/tex]

Step 4: Move the variable to the left

[tex]24 = x\\\\x = 24[/tex]

Therefore, 24 yards can be mowed in 20 hours.

Answer:

A = $3,526.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = [tex]\frac{R}{100}[/tex]

r = [tex]\frac{3.5}{100}[/tex]

r = 0.035 rate per year,

Then solve the equation for A

A = P(1 + [tex]\frac{r}{n}[/tex])nt

A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)

A = 2,500.00(1 + 0.035)(10)

A = $3,526.50

Hence:

The total amount of over 10 years is $3,526.50.

Answer:

Okay very easy, The answer is: She sold 5 cupcakes.

Step-by-step explanation:

She sold 5 cupcakes

Because if you add 3 till you get to 15 you get 5

Answer:

The 90% confidence interval for the difference in the mean grade on test 7 for all students who attended a review session and for all students who did not attend a review session is (3.7, 12.3).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

A simple random sample of 22 students who attended a review session was selected, and the mean grade on test 7 for this sample of 22 students was 85 with a standard deviation of 9.8.

This means that:

[tex]\mu_A = 85, s_A = \frac{9.8}{\sqrt{22}} = 2.09[/tex]

An independent simple random sample of 47 students who did not attend a review session was selected, and the mean grade on test 7 was 77 with a standard deviation of 10.6.

This means that:

[tex]\mu_N = 77, s_N = \frac{10.6}{\sqrt{47}} = 1.55[/tex]

Distribution of the difference in the mean grade on test 7 for all students who attended a review session and for all students who did not attend a review session.

Mean:

[tex]\mu = \mu_A - \mu_N = 85 - 77 = 8[/tex]

Standard deviation:

[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{2.09^2 + 1.55^2} = 2.6[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs[/tex]

So

[tex]M = 1.645*2.6 = 4.3[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 8 - 4.3 = 3.7

The upper end of the interval is the sample mean added to M. So it is 8 + 4.3 = 12.3

The 90% confidence interval for the difference in the mean grade on test 7 for all students who attended a review session and for all students who did not attend a review session is (3.7, 12.3).

Answer:

B   all numbers less than 7

Step-by-step explanation:

x < 7

B all numbers less than 7

----------------------

< is less than

≤ is less than or equal

> is greater than

≥ is greater than or equal

Answer:

b XD

Step-by-step explanation:

Answer:

it is 7

Step-by-step explanation:

Answer:

No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.

Step-by-step explanation:

So we already know that 1 surving of soup is 275 milliliters.

We have 6 survings of this soup.

We need to see if these 6 servings will fit in a 1.5 liter jar.

To find the total amount of mililers, we must multipy this by 6:

275*6

=

1650

Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:

1650/1000

=

1.65

This number is greater than 1.5 liters, which is how much soup the jar can store.

So the answer is no, the 6 servings of soup cannot fit in the jar.

Answer:

n/9

Step-by-step explanation:

Answer:

n/9

Step-by-step explanation:

Answer:

The answer is 7

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

for our purposes we must rearrange this problem to find one of the sides, not the hypotenuse

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

plugging in our numbers we get

[tex] {25}^{2} - {24}^{2} = 49[/tex]

[tex] \sqrt{49} = 7[/tex]

Step-by-step explanation:

7×1/4 = 1.75

1.75 ÷ 2 = 0.875 pans each

Answer:

46.5

Step-by-step explanation:

Using the Pythagoras' Theorem, this is the answer you would get.

I hope this helped☺

Answer:

the answer is 2

Step-by-step explanation:

Answer:

The answer is 6 hours

Step-by-step explanation:

26x6=156

Step-by-step explanation:

The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.

Answer:

here u go gurly

Step-by-step explanation:

Answer:

C. x = 3, y = -6 is the answer.

Step-by-step explanation:

1. Isolate x for x = 2y = 15 -> x = 15 + 2y

2. Substitute x = 15 + 2y -> [2 (15 + 2y) + 4y = -18]

3. Simplify -> [30 + 8y = -18)

4. Isolate y for 30 + 8y = -18 -> y = -6

5. For x = 15 + 2y, substitute y = -6 -> x = 15 + 2(-6)

So, x = 3 and y = -6 are the solutions to this system of equations.

Hope this helps! :)

And also you should use Symbolab, it gives all the answers and steps