Can someone help me ASAP?

Find the length of a leg of a right triangle (in inches) if the other leg measures 9 in. and the hypotenuse measures 19 in. Roun

kipiarov [429]

Answer:

a = 16.733

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 9^2 = 19^2

a^2 = 19^2 - 9^2

a^2 = 361-81

a^2 =280

Taking the square root of each side

sqrt(a^2) = sqrt(280)

a = 16.73320053

Rounding to the nearest thousandth

a = 16.733

5 0

3 years ago

For each day enter the number of hours worked. Use the format shown in Model 1 and answer in terms of a reduced fraction.

natulia [17]

It is often easiest to use "military time". That is, add 12 to all the afternoon numbers and do the subtraction in the usual way. Of course, 1 hour = 60 minutes, so 10 minutes = 10/60 hour = 1/6 hour.

Mon: 15:10 -8:00 = 7:10 = 7 1/6

Tue: 15:25 -8:05 = 7:20 = 7 1/3

Wed: 14:30 -8:00 = 6:30 = 6 1/2

Thur: 14:45 -7:55 = 7:(-10) = 6:50 = 6 5/6

Fri: 15:38 -7:58 = 8:(-20) = 7:40 = 7 2/3

_____
Some calculators have nice features for working with degrees, minutes, and seconds. In this context, degrees and hours are the same thing. That is, the base-60 arithmetic is the same whether you consider the numbers to be hours or degrees. Similarly, some calculators convert nicely between decimal fractions and mixed numbers. In short, a suitable calculator will almost do this math for you. (You just need to add 12 to all the numbers in the column on the right.)

3 0

3 years ago

Enter the decimal 1.81 repeating as an improper fraction in simplest form.

Elodia [21]

Answer:

1 9/11

Step-by-step explanation:

1.81 repeating is the equivalent to 1 9/11

6 0

3 years ago

Haha please help i don't know what I'm doing

tresset_1 [31]

Answer:

(5x+1)(x+7)

Step-by-step explanation:

4x^2+26x+6+x^2+10x

5x^2+36x+7

(5x+1)(x+7)

Prove

5x*x + 5x*7 + 1*x + 1*7

= 5x^2 + 35x + x + 7

= 5x^2 + 36x + 7

4 0

2 years ago

The number of hours spent per week on household chores by all adults has a mean of 28 hours and a standard deviation of 7 hours.

Alchen [17]

Answer:

Probability that the mean hours spent per week on household chores by a sample of 49 adults will be more than 26.75 is 0.89435.

Step-by-step explanation:

We are given that the number of hours spent per week on household chores by all adults has a mean of 28 hours and a standard deviation of 7 hours.

Also, sample of 49 adults is given.

Let X = number of hours spent per week on household chores

So, assuming data follows normal distribution; X ~ N( $\mu=28,\sigma^{2}=7^{2}$ )

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = mean hours = 28

$\sigma$ = standard deviation = 7 hours

n = sample of adults = 49

Let $\bar X$ = sample mean hours spent per week on household chores

So, probability that the mean hours spent per week on household chores by a sample of 49 adults will be more than 26.75 is given by =P( $\bar X$ > 26.75 hours)

P( $\bar X$ > 26.75 hours) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{26.75-28}{\frac{7}{\sqrt{49} } }$ ) = P(Z > -1.25) = P(Z < 1.25)

= 0.89435 {using z table}

Therefore, probability that the mean hours spent per week on household chores is more than 26.75 is 0.89435.

4 0

3 years ago

Read 2 more answers