A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree?

Answer:

f(3) = 30

Step-by-step explanation:

f(3) = 3^(3) + 3

f(3) = 27 + 3

f(3) = 30

Answer:

Option (B). Perimeter of the quadrilateral ABCD= 14.6 units

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).

Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

                      = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]

                      = [tex]\sqrt{8}[/tex]

                      = 2.83 units

Length of AD = [tex]\sqrt{(3-5)^2+(5-3)^2}[/tex]

                      = [tex]\sqrt{8}[/tex]

                      = 2.83 units

Length of BC = [tex]\sqrt{(1-3)^2+(3+1)^2}[/tex]

                      = [tex]\sqrt{20}[/tex]

                      = 4.47 units

Length of DC = [tex]\sqrt{(5-3)^2+(3+1)^2}[/tex]

                       = [tex]\sqrt{20}[/tex]

                       = 4.47 units

Perimeter of the quadrilateral = AB + AD + DC + BC

                                                 = 2.83 + 2.83 + 4.47 + 4.47

                                                = 14.6 units  

Option (B) is the answer.

Answer:

$250

Step-by-step explanation:

200/80=2.50

2.50*100=250

Answer:

$250.

Step-by-step explanation:

By proportion the cost should be 200 * 100/80

= 200*5/4

= 50 * 5

= $250.

Answer:

its D

Step-by-step explanation:

Just did the test. Goodluck

Answer:

d

Step-by-step explanation:

Answer:

The angle of ∠ABE is 40°.

Step-by-step explanation:

Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.

Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.

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Answer:

the weight for an object with a velocity of 12 meters per second is 600 kilograms

Step-by-step explanation:

The linear momentum of an article is : p = mv

Where p = Momentum

m = mass

v = velocity

The velocity is 16 meters per second and the object weighs 450 kilograms

So, [tex]p = 450 \times 16[/tex]

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that the linear momentum is a constant when the mass varies inversely of the velocity.

So, [tex]450 \times 16 = 12 \times m\\\frac{450 \times 16}{12}=m\\600=m[/tex]

Hence the weight for an object with a velocity of 12 meters per second is 600 kilograms

Answer:

C

Step-by-step explanation:

Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.

Answer:

A

C

E

that's the answer I got it right

on Edg

Answer:

15.71

Step-by-step explanation:

To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5

Put in circumference formula C=2πr

c=2 x 3.14 x 2.5

c= 2 x 7.85

c=15.7

Put the value into the circle circumference formula C=2πr

Answer:

[tex]r = 4[/tex]

Step-by-step explanation:

Given: Direct Variation

(0,0) ,(3,12),(9,36)​

Required

Constant of Variation

Provided that the given data is a direct variation, the constant variation is represented by r.

r is calculated as thus;

[tex]y = rx[/tex]

Divide both sides by x

[tex]r = \frac{y}{x}[/tex]

Point (0,0) is the center of origin and cannot be used

When x = 3, y = 12

and

[tex]r = \frac{12}{3}[/tex]

[tex]r = 4[/tex]

When x = 3, y = 12

and

[tex]r = \frac{36}{9}[/tex]

[tex]r = 4[/tex]

Notice that the value of r remain constant in both cases; Hence, the constant of variation is; [tex]r = 4[/tex]

Answer: 2.25 km

Step-by-step explanation:

2 cm = 0.5 km

9 cm = (9 x 0.5)/2

= 2.25 km

Answer:

2.25 km

Step-by-step explanation:

Since 2 cm represents 0.5 km on the ground we cross multiply to find how much ground will be represented by 9 cm on the map

9cm=?

NOTE: since the cm are the same they will cancel each other out in the division stage

b. c=4s

you multiply x times 4 to get y

Answer:

b) 65f

Step-by-step explanation:

Answer:

b. 65° F

Step-by-step explanation:

option B is correct answer

Answer:

x = 10

Step-by-step explanation:

Since B is the midpoint of segment AC, then AB = BC.

AB = BC

3x - 8 = x + 12

2x - 8 = 12

2x = 20

x = 10

As per the given information, the value of x is 10. For understanding, check the calculations provided below.

A midpoint is a point that divides a line into two parts equally.

In the given diagram,

B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.

When a midpoint B divides equally then AB = BC

Given that,

AB = 3x-8 and BC = x+12

B is the midpoint of line segment AC.

So,

AB = BC

Substitute the expression and solve for x

AB = BC

3x-8=x+12

Subtract x,

⇒ 3x-x-8 = x-x+12

⇒ 2x-8=12

Add 8

⇒ 2x = 12+8

⇒ 2x = 20

divide by 2

∵ x = 10

Thus, the value of x is 10.

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Answer:

Yes

Step-by-step explanation:

Yes since y is the negative of x like 6=-(-6)

Answer:

Yes.

Step-by-step explanation:

Because 6 is Y axis and -6 is the X axis. So therefore the equation is right.

Answer:

1/8th

Step-by-step explanation:

Answer:

1/8 of the sub or 1.5 inches

Step-by-step explanation:

One foot=12 inches, but the teacher eats half, so we are left with only six inches. then, divide the six inches with the number of students, which is 4. if you divide 12 and 1.5, you'll see that there are a total of 8 pieces, so one student gets 1 out of the 8

Answer:

1) 22

2) 19.5

3) 26

4) 12

5) False

6) True

7) Mean

8) False

9) Add all the numbers and divide by the total number of numbers

10) Bimodal

Step-by-step explanation:

1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *

To calculate mean you add all the numbers up and divide by the total number of numbers.

[tex]\frac{24 + 31+12+38+12+15}{6} = 22[/tex]

2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *

For median, arrange the numbers from lowest to largest

12, 12, 15, 24, 31, 38

use (n+1) / 2 to figure out which value is the median

(6+1) / 2 = 3.5 (median is in between the 3rd and 4th value)

(15+24) / 2 = 19.5

3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *

Range is max value - min value

38 is max and 12 is min

38 - 12 = 26

4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *

Mode is the value that appears most frequently

In this case 12 appears 2 times, therefore it is the mode

5) the mode represents the number that appears the least *

False, mode is the number that appears the most

6) To calculate the range we use the highest and lowest number ? *

True

7) Average is another word for *

mean

8) the range indicates the middle number ? *

False, range is the max value - min value

9) which statement best describes the mean. *

add all the numbers and divide by the total number of numbers

10) A data set with two modes is known as *

bimodal

___________________________________

hey!!

summation fX=132

N(total no.of items)=6

Now,

Mean=summation FX/N

=132/6

=22

2. Arranging the data in ascending order

= 12,12,15,24,31,38

N=6

Median=(N+1/2)th item

= (6+1/2) th item

=(7/2)th item

=3.5 th item

Again,

median=3 rd item + 4th item/2

=15+24/2

= 39/2

=19.5

3.Range= highest score- lowest score

=38- 12

=26

4. Mode= 12 because it has more frequency.

______________________________________

Good luck on your assignment

________________________________

Answer:

The area is 78.54 square meters

Step-by-step explanation:

The area = pi*r² r=5

A=pi*25

A≈78.54 square meters

Answer:

48 miles per hour

Step-by-step explanation:

Take the miles and divide by the time to get miles per hour

120 miles / 2.5 hours

48 miles per hour

Answer:

the bus is going 48 mile per hour

Step-by-step explanation:

Answer:

-85n - 7  = -92

Step-by-step explanation:

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.

The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.

Here given that we have to find the number line which shows -0.8 + 0.6

By checking all the options

Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.

Hence option A is correct.

Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.

Hence Option B is incorrect.

Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6

Hence Option C is incorrect.

Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8

Hence Option D is incorrect.

Therefore the correct option is Option A.

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Answer:

x^3 + 3x^2 + 4x + 12

Answer: 50 miles

Step-by-step explanation:

On maps one inch is a mile

Answer:

g(p)= -p^2+4p+4

Step-by-step explanation:

g(x)= -x^2+4x+4

Replace x with p

g(p)= -p^2+4p+4

Answer:

30 3/8 pounds of shortening used.

Step-by-step explanation:

20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625

120- 89.625 = 30.375 pounds

0.375 as a fraction = 3/8 + 30

Therefore the total shortening used = 30 3/8 pounds

How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375

We can do this by multiplying the 0.375 x 2 = 0.750  = 3/4

Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.

1/2 of 3/4 = 3/8

3/8 x 2 = 0.75

0.75 /2 = 0.375

The business requires $124,200 to pay its employees each week.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

A small company employs 98 workers. Every employee works 8 hours a day, 5 days a week. Eleven employees are paid $45 per hour, while the remaining employees are paid $30 per hour. 

As per the given question, the required solution would be as:

No. of employees at $30hr: 98 -11 = 87

⇒ 8 hours × 5 days = 40 hour a week

⇒ 40 hour × $30 × 87 =104,400

⇒ 40 hour × $45 × 11 = 19,800

⇒ 104,400 + 19,800 = 124,200

Thus, the business requires $124,200 to pay its employees each week.

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it is 300 and 300

and 300

Answer:

its 4

Step-by-step explanation:

Answer:

71% = P

Step-by-step explanation:

500/700 = P/100

500(100) =700p

50,000/700 = 700p/700

P=71%

The percent increase in enrollment is, 71.43%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.

Now,

Increased students = 1200 - 700

                              = 500

Hence, The increased percent is,

⇒ 500 / 700 × 100

⇒ 71.43%

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Answer:

6

Step-by-step explanation:

3x2