If x = 7 units and h = 4 units, then what is the area of the triangle shown above?
A.
28 square units
B.
42 square units
C.
14 square units
D.
8 square units

Answer: B

Step-by-step explanation:

took test :)

Answer:

The answer is B

Step-by-step explanation:

2

Answer:

What is f & what is t?

Answer:

Step-by-step explanation:

Remark

This is a cosine law problem.

a = 12

b = 15

C = 83

Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.

Formula

c^2 = a^2 + b^2 - 2ab*cos(C)

Solution

c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)

c^2 = 144 + 225 - 360 * cos(83)

cos(83) = 0.1219

c^2 = 144 + 225 - 360 * 0.1219

c^2 = 369 - 43.884

c^2 = 325.116

sqrt(c^2) = sqrt(325.116)

c = 18.031

To the nearest tenth, the answer is 18.0 and you must include the 0.

Answer:

0.5 = 50%, 3/4 = 75%

Step-by-step explanation:

Answer:

13.5 ft

Step-by-step explanation:

base = 18ft

To find the height, take 75% of 18

To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:

0.75 x 18 = 13.5

13.5 would be the height

Answer:

13.5?

Step-by-step explanation:

Answer:

33x2=66

66+3=69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

PEMDAS their are no parenthesis no exponents but their is multiplication 33 times 2 is 66 their is addition 66 plus 3 is 69

Answer:

Step-by-step explanation:

Another similar triangle.  then the sides that are the same are:

r /d =  p / b

r =30

d = 72

b  = 60

p = QR

30 / 72 = QR / 60

( 30 / 72 ) 60 = QR

1800 / 72 = QR

25 = QR

:)  glad they makes these work out to easy numbers.. I mean not some long decimal  

Answer:

After 4 years working for the company, he would make $79,000 of salary.

His salary after t years will be:

[te]S(t) = 69000 + 2500t[/tex]

Step-by-step explanation:

David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.

This means that after t years, his salary will be given by:

[te]S(t) = 69000 + 2500t[/tex]

How much would David make as a salary after 4 years working for the company?

[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000[/tex]

After 4 years working for the company, he would make $79,000 of salary.

The bill cost is directly proportional to the calling time.

In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:

k = y / x

Where k is the constant of proportionality, in US dollars per minute.

The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:

k₁ = 12 / 80

k₁ = 3 / 20

k₂ = 9 / 60

k₂ = 3 / 20

There, the bill cost is directly proportional to the calling time.

To learn more on direct proportion models: https://brainly.com/question/20400984

#SPJ1

Answer:

8

Step-by-step explanation:

We know that ABD is 30 degrees. To find BC, we need to use sin.

Equation:

BC = 16*sin(30 degrees) I recommend using a calculator to find the sine if you don't know what it means and how to use it. Sine is basically the side length opposite of the angle over the hypotenuse of the right triangle.

BC = 16*0.5

BC = 8

Sorry, I couldn't find an image.

Hope this helps!

Answer:

30.99

Step-by-step explanation:

31 - 0.01 = 30.99

Answer:

x = -11

Step-by-step explanation:

−3x + 6 = 39

-3x = 33

x = -11

Step-by-step explanation:

-3x+6=39

-3x=39-6

-3x=33

x=33/-3

x=11

Answer:

I think $490

Step-by-step explanation:

Don't quote me on that

Answer:

1/3

Step-by-step explanation:

Answer:[tex]x=15[/tex]

Step-by-step explanation:

Angles that are opposite from each other are going to be the same in this case.

Let's plug in 15 into x

[tex]4(15)+8\\60+8\\68[/tex]

Answer:

52

Step-by-step explanation:

52x0.25=13

Answer:

52 quarters

Step-by-step explanation:

13 dollars x 100 cents

= 1,300 cents

1,300 cents / 25 cents

= 52 quarters

Answer:

Table A.

Step-by-step explanation:

$139.50 / 6 hours = $23.25 an hour

1 hour of work = $23.25 earned

(now add $23.25 for the next hour of work)

2 hours of work = $46.50 earned

(now add $23.25 for the next hour of work)

3 hours of work = $69.75

(now add $23.25 for the next hour of work)

4 hours of work = $93 earned

(now add $23.25 for the next hour of work)

5 hours of work = $116.25 earned

(now add $23.25 for the next hour of work)

6 hours of work = $139.50 earned

(now add $23.25 for the next hour of work)

7 hours of work = $162.75 earned

(now add $23.25 for the next hour of work)

8 hours of work = $186 earned

(now add $23.25 for the next hour of work)

9 hours of work = $209.25

(now add $23.25 for the next hour of work)

10 hours of work = $232.50

and continued on...

(I did ten hours of work to help out if you had to write the hours and money earned) I hope this helps :)

Answer:

B

Step-by-step explanation:

Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have

[tex]\dfrac {7 \frac12} {10} = \dfrac a4[/tex]

We can cross multiply to get that

[tex]10a = 30, \text{so } \boxed{a=3}[/tex]

Answer:

3x² - 7

Step-by-step explanation:

3 times (number squared) and sum with (-7)

3 times x² and add (-7)

3x²  + (-7)

3x²  -  7

Answer:

Step-by-step explanation:

Given scores:

Mean of the scores:

Absolute deviations:

Sum of absolute deviations:

Mean absolute deviation:

total no of game (n)=5

score =15, 25, 10, 2, and 8 points

mean= sum of score/no.of game

=(15+25+10+2+8)/5=60/5=12

absolute deviation of

15=\15-12\=3

25=\25-12\=13

10=\10-12\=2

2=\2-12\=10

8=\8-12\=4

mean absolute deviation=

(3+13+2+10+4)/5=3.6

is the mean absolute deviation of the points she scored during the last five games.

Answer:

I think u add those numbers up because it's saying figure out the volume below. it must be adding.

Step-by-step explanation:

so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together

The function that best models for the data is y = -200 (x-4)^2 + 800.

A function is a mathematical expression that describes how factors are related. In this case, how the price is related to the profit.

The best way to determine this is to solve the expression and verify if the answer is correct.

For example, we know that at 4 (x) dollars, the daily profit is $800 (y). Let's now the different options:

A.

B.

C.

D.

This means B and D are possible options, however, when verified with other results such as $6 the correct one is option D.

Learn more about bakery in: https://brainly.com/question/16421624

The quadratic equation is given by y = -200x² + 1600x - 2400.

The standard form of the quadratic equation is:

y = ax² + bx + c

Where a,b,c are constants.

Let y represent the daily profit for x bread price.

At point (2, 0):

0 = a(2)² + b(2) + c

4a + 2b + c = 0    (1)

At point (4, 800):

800 = a(4)² + b(4) + c

16a + 4b + c = 800    (2)

At point (6, 0):

0 = a(6)² + b(6) + c

36a + 6b + c = 0    (3)

From all the equations:

a = -200, b = 1600, c = -2400

The quadratic equation is given by y = -200x² + 1600x - 2400.

Find out more on quadratic equation at: https://brainly.com/question/1214333

Answer:

(11/15)'s

Step-by-step explanation:

(2/5) is equal to (6/15)

(1/3) is equal to (5/15)

(5/15)+(6/15)=(11/15)

Answer:

We expect 17.82, that is, approximately 18 people to be universal donors.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Only about 6.6% of the American population has O-negative blood.

This means that [tex]p = 0.066[/tex]

If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?

This is E(X) when [tex]n = 270[/tex]. So

[tex]E(X) = np = 270*0.066 = 17.82[/tex]

We expect 17.82, that is, approximately 18 people to be universal donors.

Answer:

64inches.

Step-by-step explanation:

Let x represent the length of entire rope.

Division Equation:

\frac{x}{4}  = 16

\frac{x}{4} X 4 =16x4 (Multiply each side by 4)

x=64

Answer:

a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Step-by-step explanation:

Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is  and the probability of rolling an even number is  , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.

To find - What is the probability of:

                a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.

                b) the sum of both dice adding up to 4.

Proof -

The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

                                          (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

                                          (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

                                           (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

                                           (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

                                            (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }

Now,

Given that , Dice 1 is fair

⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]

Also,

Given Dice 2 is unfair

⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]

    P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]

Now,

a)

P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)

= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]

= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] =  [tex]\frac{2}{9}[/tex][tex][\frac{3}{6} ][/tex] = [tex]\frac{1}{9}[/tex]

⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b)

P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)

                                                                   = [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]  + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]   =  [tex]\frac{5}{54}[/tex]

⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]