What is 8(m-3)=56 mean

Simplify h= 105sin (0.0698(90+1)) + 105

IrinaK [193]

Answer:

$h= 116.616$

Step-by-step explanation:

we have

$h= 105sin (0.0698(90+1)) + 105$

step 1

Solve (90+1)

$h= 105sin (0.0698(91)) + 105$

step 2

Solve 0.0698(91)

$h= 105sin (6.3518) + 105$

step 3

Solve sin (6.3518)

$h= 105(0.11063) + 105$

step 4

Solve 105(0.11063)

$h= 11.616 + 105$

step 5

Solve 11.616 + 105

$h= 116.616$

5 0

2 years ago

PLS HELP due soon!!!!

vazorg [7]

Answer:

rice --- no of people

1 ---- 3

2 ---- 6

4 ---- 12

12 --- 36

43 --- 129

Step-by-step explanation:

This is in direct proportion. The constant value of it is 3 so you have to multiply the number of cups into three to get the number of people it can feed

3 0

3 years ago

Read 2 more answers

Thirty adults were asked how many pets they have had over their lifetime. The results are shown in the histogram below. Which of

Ostrovityanka [42]

The most likely answer would be C.

6 0

2 years ago

Read 2 more answers

The angle looking up at the sun is 70°. A flagpole casts a shadow of 15 ft. Draw a diagram and find the height of the flagpole

dangina [55]

Answer:

The length of the flagpole be 41.2 ft .

Option (A) is correct .

Step-by-step explanation:

As given

The angle looking up at the sun is 70°.

A flagpole casts a shadow of 15 ft .

Now by using the trignometric identity .

$tan \theta = \frac{Perpendicular}{Base}$

$\ theta = 70^{\circ}$

$tan\ 70^{\circ} = \frac{AB}{BC}$

BC = 15 ft

tan 70° = 2.75 (Approx)

$2.75 = \frac{AB}{15}$

AB = 2.75 × 15

= 41.2 ft

Therefore the length of the flagpole be 41.2 ft .

Option (A) is correct .

5 0

2 years ago

Read 2 more answers

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume

Ira Lisetskai [31]

Answer:

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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