find the five consecutive numbers in the list below than total 21​

Answer:

17 =x

Step-by-step explanation:

The angles are vertical angles, so they are equal

51 = 3x

Divide each side by 3

51/3 = 3x/3

17 =x

Answer:

C) 17

Step-by-step explanation:

Since the angle needed to be 51˚ we need to figure out which number that multiplies by 3 will get to 51˚ so 17 is the answer

17 times 3 is 51˚

Answer:

C

Step-by-step explanation:

-3p – 4 + 4p + 8

Simplify by combining like terms

-3p + 4p = p

-4 + 8 = 4

The expression in it's simplest form would be p + 4

Answer:

The answer is C.

Step-by-step explanation:

-3p - 4 + 4p + 8 can be grouped into:

-3p + 4p - 4 + 8.

If you add the p's together and the numbers together, your answer should be:

p + 4.

Answer:

[tex]\lim_{x \to 7} \frac{\sqrt{x+2}-3 }{x-7} = \frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\lim_{x \to 7} \frac{\sqrt{x+2}-3 }{x-7}[/tex]

[tex]\frac{\sqrt{x+2}-3 }{x-7}[/tex]

[tex]\frac{\frac{1}{2} (x+2)^{-\frac{1}{2} }}{1}[/tex] <-- Take derivative of numerator and denominator expressions

[tex]{\frac{1}{2} (x+2)^{-\frac{1}{2} }}[/tex] <-- Simplify

[tex]\frac{1}{2}(\frac{1}{\sqrt{x+2} })[/tex] <-- Rewrite

[tex]\frac{1}{2}(\frac{1}{\sqrt{7+2} })[/tex] <-- Use direct substitution and plug in the limit x=7

[tex]\frac{1}{2}(\frac{1}{\sqrt{9} })[/tex]

[tex]\frac{1}{2}(\frac{1}3 })[/tex]

[tex]\frac{1}{6}[/tex]

Therefore, [tex]\lim_{x \to 7} \frac{\sqrt{x+2}-3 }{x-7} = \frac{1}{6}[/tex]

Answer:

Step-by-step explanation:

Remark

The minus sign in front of the 2 means that the quadratic has a maximum.

The vertex is already written in vertex form.

y= - 2 (x - 4)^2 + 3

The vertex is (4,3). Notice that the sign on the 4 changes. What you are trying to do is find the maximum point. That occurs when the minus number is made to be 0, which occurs when x = 4. The maximum y value is 3 when that happens.

I have enclosed a graph to show you all the details. Notice the maximum is when I've said it was and the roots have also been calculated.

Answer:

#3: 4

#7: >

#8: =

#9: >

#10: <

Step-by-step explanation:

1 decimeter = 10 centimeters

1 meter = 10 decimeters

1 kilometer = 1,000 meters

Answer:

[tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

Assuming you mean

(- 2)⁻³

- 0.125

[tex]-\frac{1}{8}[/tex]

Answer:

-8

Step-by-step explanation:

see image below:)

Answer:

C

Step-by-step explanation:

All the other answers are the same worded differently except c.

The distance between 6 and -6 is 12 so that is not correct for the absolute value of -6

Answer:

[tex]\displaystyle =\frac{0.5\text{ ft}}{\text{day}}[/tex]

The weed grows at a rate of 0.5 feet per day.

Step-by-step explanation:

The weed grows at a rate of 0.25 inches per hour.

And we want to convert this rate into feet per day.

We have that:

[tex]\displaystyle \frac{0.25\text{ in}}{\text{hr}}[/tex]

We knowt that there are 12 inches in one foot.

And since we want to cancel the inches, we can write our conversion factor as ft / 12 in.

We also know that there are 24 hours in one day.

And since we want to cancel the hours, we can write our conversion factor as 24 hr / day.

Hence:

[tex]\displaystyle \frac{0.25\text{ in}}{\text{hr}}\cdot\frac{\text{ft}}{12\text{ in}}\cdot \frac{24\text{ hr}}{\text{day}}[/tex]

Multiply and cancel common terms. So:

[tex]\displaystyle =\frac{0.5\text{ ft}}{\text{day}}[/tex]

The weed grows at a rate of 0.5 feet per day.

Answer:

6500

Step-by-step explanation:

y = 6500(0.875)^x

When bought x = 0

y = 6500(0.875)^0

A number raise to 0 equals 1

y = 6500 * 1

y = 6500

Answer:b

Step-by-step explanation:

Answer:

Hello! answer: area is 6 cm2

Step-by-step explanation:

Triangle area formula: base × height ÷ 2 or base × height × 1/2 so...

12 × 16 = 192 192 ÷ 2 = 96

12 ÷ 4 = 3

16 ÷ 4 = 4

3 × 4 = 12 12 ÷ 2 = 6 therefore the area is 6 hope that helps!

Answer:

6 cm²

Step-by-step explanation:

Given the sides of 2 similar figures in the ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 3 : 12 = 1 : 4

ratio of areas = 1² : 4² = 1 : 16

That is the area of the larger polygon is 16 times the smaller, so

area of smaller polygon = 96 ÷ 16 = 6 cm²

Step-by-step explanation:

14x + 4 = 39

14x= 39-4

14x=35

x= 35/14

Answer:

650 kg/m³

Step-by-step explanation:

The density is the ratio of mass to volume. The volume is the product of the dimensions of the prism.

 density = (146.25 kg)/((1.5 m)(0.75 m)(0.2 m)) = 146.25/0.225 kg/m³

 = 650 kg/m³

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer: Face

Step-by-step explanation: look at there face?

Answer:

True

Step-by-step explanation:

5+3+7=5+7+3

15=15

Hence proved.

Answer:14=x

Step-by-step explanation:

two real solutions

b2-4ac>0

one real solutions and one imaginary solution

b2-4ac=0

no real solution

b2-4ac<0

a=7

b=3

c=8

(3)^2-4(7)(8)=-215 no real solution

Answer:

27 m

Step-by-step explanation:

We know that ABC = 42 degrees

and side length BC = 24m

tan42 = 24m/a

a = 24/tan42

a = 26.65m

round to nearest whole number

= 27 m

Answer:

12 or 16 m

Step-by-step explanation:

Answer:

19,17,15,13

Step-by-step explanation:

25-6=19

25-8=17

25-10=15

25-12=13

Answer:

See below.

Step-by-step explanation:

4.2 is 4 and 2 tenths.

4 is 40 tenths.

That means that 4.2 is 40 tenths plus 2 tenths, or 42 tenths.

First line: 4.2 / 6 = 42 tenths / 6

In the second line, we divide 42 tenths by 6. Since 42 divided by 6 = 7, then 42 tenths divided by 6 equals 7 tenths.

Second line: 4.2 / 6 = 7 tenths

In the third line, we write 7 tenths as a number. 7 tenths is the same as 0.7.

Third line: 4.2 / 6 = 0.7

Answer:

The possible lengths of the shortest side, 'y', are 0 cm < y < (1 + √3) cm

Step-by-step explanation:

The given parameters of the right triangle are;

The length of one of the perpendicular sides = 2 cm longer than the other

The length of the hypotenuse side > 2 × The length of the shortest side

Let 'x' represent the length of one of the perpendicular sides, let 'y', represent the length of the shortest perpendicular side, and let 'h', represent the hypotenuse side, we have;

x = 2 + y...(1)

h > 2·y...(2)

From equation (1), we get;

y = x - 2

By Pythagoras theorem, the hypotenuse side, 'h', is given as follows;

h = √(x² + y²) > 2 × y

Simplifying the above equation by plugging in x = y + 2, gives

h = √((y + 2)² + y²) > 2 × y

h² = 2·y² + 4·y + 4 > 4·y²

∴ 2·y² - 4·y - 4  <  0

2·(y - 1 + √3)·(y - (1 + √3)) < 0

y < 1 - √3 < 0, or y < 1 + √3

Therefore, the possible lengths of the shortest side of the right triangle, y are;

0 cm < y < (1 + √3) cm.

Answer:

[tex]14 \: 26 \: 6.5[/tex]

14

26

6.5

Answer:

I think D 24 but i am not sure

Answer:

B)12

Step-by-step explanation:

I took the test

Answer: (-3,5)

Step-by-step explanation:

Answer:

(3,-5)

Step-by-step explanation:

Just did it, said this was right.

(3,-5) is the answer

Answer:

[tex]2\sqrt{6}[/tex] = x

Step-by-step explanation:

We can use the Tan ratio to figure this out;

[tex]Tan(60) = \frac{x}{\sqrt{8} }[/tex]

Tan(60) * [tex]\sqrt{8}[/tex] = x

[tex]2\sqrt{6}[/tex] = x

Hope this helps!

Answer:

If they would both work at the same speed they would each take 4 hours to complete the room. So in total they would work 8 hours. But because Carl can finish three hours before Jennifer 3 hours of the eight already got to Jennifer. Then we divide the resting 5 hours by the two and then we have:

Jennifer:

3+2,5=5,5

Carl:

2,5

( if I am right)