Just a question from a written Unit Test.

Answer:

268

Step-by-step explanation:

The volume formula for a sphere is: V= [tex]\frac{4}{3}\pi r^{3}[/tex]

We also know that [tex]\pi[/tex] is approximately 3.14.

You have to know these in order to solve the question..

Since we also know the diameter is 8 we can also find the radius (r) ,which is half of the diamater so 4.

Now all we need to do it plug in the numbers.

V= [tex]\frac{4}{3}[/tex](3.14)[tex]4^{3}[/tex]

Now solve for the equation.

V=267.94...

So rounded that is 268.

Answer:

10x²+8x

Step-by-step explanation:

times everything in the bracket by 2x

Answer:

3x+4y+7y = 3x + 11 y

Step-by-step explanation:

We need to simplify the given expression i.e.

3x+4y+7y

We know that, the like terms gets add up i.e. the sum of 4y and 7y equals 11 y

So,

3x+4y+7y = 3x + 11 y

Hence, the final simplification should be 3x + 11 y.

Answer:

39200000

Step by step explanation is in the photo

Answer:

y = -28/5

Step-by-step explanation:

R = 7x +5y

35 = 7(9) + 5y

35 = 63 +5y

-5y= 63- 35

-5y/-5 = 28/-5

Y = -28/5

Answer:

Y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given

R = 7X + 5Y ← substitute X = 9, R = 35

35 = 7(9) + 5Y

35 = 63 + 5Y ( subtract 63 from both sides )

- 28 = 5Y ( divide both sides by 5 )

- [tex]\frac{28}{5}[/tex] = Y

Answer:

check B and E

Step-by-step explanation:

All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangles ABC and PQR are congruent.

Now, By definition of congruency we get;

All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

Thus, All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

9514 1404 393

Answer:

  not similar

Step-by-step explanation:

For the triangles to be similar, at least two angles must match. Here, there is an 81° angle in both triangles. This means the sum of the remaining two angles must be ...

  180° -81° = 99°

If the missing angle in either triangle matched the other given angle in the opposite triangle, the sum of those would be 60° + 40° = 100°, not 99°. This triangle pair does not have two matching angles, so the triangles are not similar.

ABC angles: 60°, 81°, 39°

FED angles: 59°, 81°, 40°

Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

Answer:

First find out the other side measurements. Then split the shape into seperate squares and find the area then add them all up.

Step-by-step explanation:

volume is length × width × height.

Answer:

240 cm cubed

Step-by-step explanation:

If you separate the shape into 2 figures, the first figures area is 180

and the second is 60.

180 + 60 = 240

Hope this helps!

Answer:

p=4x^3−3x^2+5x−2/x

Step-by-step explanation:

Let's solve for p.

px=4x^3−3x^2+5x−2

Step 1: Divide both sides by x.

px/x=4x^3−3x^2+5x−2/x

p=4x^3−3x^2+5x−2/x

Answer:

p=4x^3−3x^2+5x−2/x

( I hope this was helpful) >;D

Answer:

yuuhhhhh

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I am da real baby :) lol

Answer:

480 People.

Step-by-step explanation:

120,000(0.004) = 480

Answer:

[tex]\sqrt{\frac{49}{16}[/tex]

Step-by-step explanation:

Answer:

x=-5/11, y=-9/11. (-5/11, -9/11).

Step-by-step explanation:

3x+2y=-3

y=4x+1

---------------

3x+2(4x+1)=-3

3x+8x+2=-3

11x=-3-2

11x=-5

x=-5/11

y=4(-5/11)+1

y=-20/11+11/11

y=-9/11

Answer:

D

Step-by-step explanation:

Answer:

Value of the car at the end of 3 years is £7917.75

Step-by-step explanation:

The car is purchased for £11500.

In the first year, 15% depriciation.

So, depreciation on first year =11500 *[tex]\frac{15}{100}[/tex] =1725

After first year depreciation the value of car =11500-1725 =£9775

Now, second year depreciation is 10%

So, 10% of 9775 =0.10*9775 =977.5

Value of car after 2 years = 9775 -977.5 =8797.5

Now, for third year depreciation is 10%.

So, depreciation on 3 year = 10% *8797.5

                                           =0.10*8797.5

                                          =879.75

So, value of car after 3 years = 8797.5 -879.75 =£7917.75

Answer: The equation in slope-intercept form: [tex]y=-5x+2[/tex]

Step-by-step explanation:

The given equation of a line : [tex]y+3= -5(x-1)[/tex]

The equation of a line in slope -intercept form: y=mx+c, where m= slope , c=y-intercept.

We first use distributive property(a(b+c)=ab+ac) to simplify the given equation, we get

[tex]y+3=-5x+5[/tex]

Subtract 3 from both sides, we get

[tex]y=-5x-2[/tex]

Hence, the equation in slope-intercept form: [tex]y=-5x+2[/tex]

Answer:

NF = 25

Step-by-step explanation:

Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.

This means that:

KF/ZF = NF/LF

KF = x + 3

ZF = 4

NF = 15 + x + 3 = x + 18

LF = x + 3

Plug in the values into the equation

(x + 3)/4 = (x + 18)/(x + 3)

Cross multiply

(x + 3)(x + 3) = (x + 18)(4)

x² + 3x + 3x + 9 = 4x + 72

x² + 6x + 9 = 4x + 72

x² + 6x + 9 - 4x - 72 = 0

x² + 2x - 63 = 0

Factorize to find x

x² + 9x - 7x - 63 = 0

x(x + 9) -7(x + 9) = 0

(x + 9)(x - 7) = 0

x + 9 = 0 or x - 7 = 0

x = -9 or x = 7

We'd use the positive value of x, which is 7.

Therefore, x = 7.

✅NF = 15 + (x + 3)

Plug in the value of x

NF = 15 + (7 + 3) = 15 + 10

NF = 25

Answer:

10 students didnt turn in work

Step-by-step explanation:

10. its like saying 100 divided by 25

Answer:

MMEEEE but im SOOO behinnnd

Step-by-step explanation:

Answer:

Not me sorry.

Step-by-step explanation:

Answer:

[tex]x=6.25\\y=-1.25[/tex]

Step-by-step explanation:

[tex]3x+5y=10\\x+3y=1\\\\[/tex]

Second equation times 3:

[tex]3x+9y=3[/tex]

1st equation minus equation above:

[tex]-4y=7\\y=-7/4[/tex]

Insert to equation:

[tex]3x+\frac{-35}{4}=10\\12x-35=40\\12x=75\\x=75/12=6.25[/tex]

Answer:

the circumference is 25.12

Answer:

20%

Step-by-step explanation:

180 + 720 = 900 total people in town

180/900 or 180 ÷ 900 = 0.2 or 20%

Hope this helps!

Answer:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment develop

Step-by-step explanation:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment  develop

Answer:

3 and 8

Step-by-step explanation:

3 and 8 are the only numbers that have a variable, or the letter beside it

Answer:

This is the exterior angle theorem, so

x+30+x+22=130

2x+52=130

2x=78

x=39

sooooooooooooo

39+22=61 degrees

61 degrees

Answer:

21

Step-by-step explanation:

First set up the equation

130 + x + 30 + x + 22 = 180  (triangle angles always add up to 180)

then start to solve to find x

130 +2x + 30 + 22 = 180

182 + 2x = 180

-182          -182

2x = -2

/2     /2

x = -1

Then just plug it back into the equation

-1 + 22

21

Answer:

1 and 6 (alternate exterior angle)

2 and 5(corresponding angle)

4 and 5(co interior angle)

3 and 5(alternate interior angle)

Answer:

trench

Step-by-step explanation: