All categories

2 years ago

4. A 40 foot ladder is leaning against the side of a building. If the bottom of the ladder is 24

1 answer:

8 0

First you start by drawing a right triangle. the longest side is the length of the ladder (40ft) and will be represented by variable c. Label the vertical side as a and the horizontal side as b(24 ft).

we will use a^2 +b^2 =c^2 to find it. plug in the variables and it will be a^2 + 24^2 = 40^2 which simplifies to a^2 + 576 = 1600. you then isolate the variable by subtracting 576 from 1600. our new equation is a^2 = 1024. we take the sqrt of a^2 and 1024 so our final equation is a=32 ft. the answer is 32 feet.

You might be interested in

Brenda cuts a pie into several equal slices. She gives Sally 2 slices of the pie. Peter takes a quarter of the pie. Henry takes

Juli2301 [7.4K]

Brenda cut the pie into 12 slices. Brenda has 2/12 of the pie or 1/6 of the pie left for herself.

6 0

3 years ago

By law, all businesses outside the Parkville city limits must fence their lots. How many inches of fence will be needed to fence

noname [10]

There is no picture down below....

8 0

3 years ago

A loon is a bird that dives in the ocean for its food. It can dive to a depth of 12ft in 8 seconds. How many feet does it dive p

WARRIOR [948]

Answer: 1.5ft/seconds

Step-by-step explanation:

From the question, we are informed that a loon is a bird that dives in the ocean for its food and that it can dive to a depth of 12ft in 8 seconds.

The amount of feet it dive per second will be gotten by dividing 12ft by 8 seconds. This will be:

= 12ft / 8sec

= 1.5ft/seconds

7 0

3 years ago

A high school statistics class wants to estimate the average number of chocolate chips in a generic brand of chocolate chip cook

Viktor [21]

Answer:

Correct option:

We are 95% certain that the confidence interval of 18.6 to 21.3 includes the true average number of chocolate chips per cookie.

Step-by-step explanation:

The general formula for the (1 - α)% confidence interval for population mean is:

$CI=\bar x\pm CV \times SE_{\bar x}$

Here:

$\bar x$ = sample mean

CV = critical value

$SE_{\bar x}$ = standard error of mean.

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the mean number of chocolate chips per cookie is (18.6, 21.3).

This 95% confidence interval implies that there is a 0.95 probability that the true mean number of chocolate chips per cookie is between 18.6 and 21.3.

Thus, the correct option is:

"We are 95% certain that the confidence interval of 18.6 to 21.3 includes the true average number of chocolate chips per cookie. "

6 0

3 years ago

HELP PLS the problem is in the picture below

Gnoma [55]

I think it’s the first one
Sorry if I’m wrong

4 0

3 years ago