All categories

3 years ago

Find the missing side round your answer to the nearest tenth

Mathematics

1 answer:

kap26 [50]3 years ago

7 0

Use trigonometric ratios.
Use angle(19)
Adjacent side of angle measure 19 is X
The hypotenuse is 21.
Use the cosine
Cos(19)=x/21

Plug in calculator
(21)cos(19)=19.85

Round to the nearest tenth. Which means the 8 rounds up to 9.

Answer: 19.9

You might be interested in

If Mary Alice buys the car for $35,000 and pays 20% down, how much will she finance? If she finances this balance for 6 years at

RUDIKE [14]

Answer:monthly is 598.90 total is 43120

Step-by-step explanation:

4 0

3 years ago

Present Value Hoew much shuold be deposited in an account paying 7.2% interest compounded monthly in order to have a balance of

jonny [76]

Answer:$6451.6 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.2%. So

r = 7.2/100 = 0.072

It was compounded for 3 years. So

t = 3

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. A is given as $8000 Therefore,

8000 = P (1+0.072/12)^12×3

8000 = P(1+0.006)^36

8000 = P(1.006)^36

P = 8000/1.24

P = $6451.6

6 0

3 years ago

The points represented by the (x, y) coordinate pairs in the

77julia77 [94]

Step-by-step explanation:

For every increase in the x-value by 1,

the y-value decreases by -2.

(From 3 to 1 and from 1 to -1)

Hence, slope of line k

= Rise/Run = (-2)/1 = -2. (A)

5 0

3 years ago

R varies directly as S and inversely as T. if R = 8 when S = 4 and T = 3, then R is equal to

Alex

Answer:

R = 6S/T

Step-by-step explanation:

R ∝ S/ T

》R = kS/ T

》k = RT/ S

If R = 8 when S = 4 and T = 3

then, k = (8 × 3)/ 4

k = 6

∴ R = (6 × S)/ T

5 0

3 years ago

An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "D

Nataly_w [17]

Complete Question

An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.

What is the sample size for this poll?

Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)

Discuss the poll in terms of the population and sample framework that we have studied in this chapter.

This random sample of responses collects the opinions of a random group of users across all users of the Internet.

ii)

This voluntary response sample collects only the opinions of those that visit this site every day.

iii)

This random sample of responses collects the opinions of a random group of users of the particular site.

iv)

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

Answer:

$n = 1324$

YES $y = 48.03 \%$

NO $m =44.94 \%$

NOT SURE $m =7.02\%$

The correct option is (iv)

Step-by-step explanation:

From the question we are told that

The voting options are "Yes, " "No, " "Not sure, " or "Don't care."

The number of people that said is $Y = 636$

The number of people that said No is $N = 595$

The number that indicated Not sure is $S = 93$

Generally the sample size is mathematically represented as

$n = Y + N + S$

=> $n = 636 + 595 + 93$

=> $n = 1324$

Generally the percentage of responses that was Yes is mathematically represented as

$y = \frac{636}{ 1324} * 100$

=> $y = 48.03 \%$

Generally the percentage of responses that was No is mathematically represented as

$m = \frac{595}{ 1324} * 100$

$m =44.94 \%$

Generally the percentage of responses that was Not sure is mathematically represented as

$s = \frac{93}{ 1324} * 100$

$m =7.02\%$

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

4 0

3 years ago