10 points !
what is 20% of 30 ?

Answer:

B. 33 cm^3

Step-by-step explanation:

Volume = 4/3 πr^3

4/3 times 3.14 times 2cm^3

Answer:

33.51 cm³  (closest to Answer B)

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.

With r = 2 cm, the volume is

V = (4/3)π(2 cm)³ = 33.51 cm³  (closest to Answer B)

Answer:

vertex is (-2,0)

Step-by-step explanation:

Answer:

109 days and 9 hours

Step-by-step explanation:

Answer:

About 110 days

Step-by-step explanation:

Round up

2,197 would round up to 200

Divide 2,200 by 20, and there is your answer

Answer:

x = 20

Step-by-step explanation:

x + 4= 24

Subtract 4 rom both sides

x = 20

Answer:

Your answer is

x=20

Step-by-step explanation:

x=24 -4

Answer:

x=6

Step-by-step explanation:

9(10)=15(×)

90=15×

90÷15=6

Answer:

150-1/2 (150.5) cups of flour

Step-by-step explanation:

We know there is a ratio of 32.25 / 1.5 (32-1/4 cups of flour for every 1 1/2 batches of pie that she makes). X is the unknown (as we are trying to solve for flour) so we can set up the problem as such:

32.25    =     x  

1.5                 7

Now we cross multiply to solve:

1.5(x) = 7(32.25)

1.5x = 225.75  -- Simplify then divide both sides by x (to isolate the variable)

x = 150.5

Answer: She uses 32 ¼ cups of flour for every 1 ½ batches of pie

Let’s make it into whole numbers to start…

She uses 64 ½ cups of flour for every 3 batches of pie

She uses 129 cups of flour for every 6 batches of pie

She uses 129/6 cups of flour for every 1 batch of pie

She uses 7 x 129/6 cups of flour for every 7 batches of pie

= 150 ½ cups of flour

Answer:

See explanation

Step-by-step explanation:

The question is incomplete; So, I will solve the question generally.

Assume the following;

[tex]l \to length[/tex]

[tex]w \to width[/tex]

[tex]h \to height[/tex]

Since the water level must be 2 inches below the tank height, the water height is:

[tex]H \to h - 2[/tex]

So, the water volume is:

[tex]Volume = l * w * H[/tex]

[tex]Volume = l * w * (h - 2)[/tex]

Hence, the expression is:

[tex]Volume = l * w * (h - 2)[/tex]

Assume that:

[tex]l = 5; w = 10; h = 8[/tex]

The volume becomes:

[tex]Volume = 5 * 10 * (8 - 2)[/tex]

[tex]Volume = 5 * 10 * 6[/tex]

[tex]Volume = 300[/tex] cubic units

Answer:

57 degrees

Step-by-step explanation:

you the side opposite of angle m and the hypotnuse. So use cosine. cos-1(4.7/8.6) = 56.87197... So round to nearest degree is 57

Answer:

x=2

Step-by-step explanation:

Hope I helped and I hope you get it correct

Answer:

No it's not compulsory.

Step-by-step explanation:

If the ratio of sides are given then that can also help you find angle. Not only that if the relationship between the perpendicular and base are given then you can find angle

E.g.

if the ratios of the sides is 5:4:3 then you can find the angle

Answer:

1368

hope this helps

have a good day :)

Step-by-step explanation:

x^2 = 2 × ( 2 + 4 )

x^2 = 2 × 6

x^2 = 12

x = √12

x = √4 × 3

x = 2√3

Answer:

x = 4

Step-by-step explanation:

Assume the dimension 4 is a diameter, and x is a tangent to the circle.

Use the tangent/secant formula to find

x*x = 2*(2+4)

x^2 = 16

x = 4

Answer:

(5, -7).

Step-by-step explanation:

Solution is the point of intersection.

(5, -7).

Answer:

Step-by-step explanation:

90+42 angle S=180 degree(being sum of interior angles of a triangle)

132 angle S=180

angle S=180-132

angle S=48 degree

Answer:

(4,-1), (2,-5), and (5,-5).

Step-by-step explanation:

There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)

I never heard of a clockwise one before.

Maybe you can use this to help you find the formula for the clockwise rotation.

Answer:

38π cubic units

Step-by-step explanation:

The volume V = ∫₀²πy²dx  

Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3

So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1

when x = 2, y = 3(2) + 1 = 6 + 1 = 7

So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have

V = ∫₀²πy²dx

V = π∫₁⁷y²dy/3

V = π[y³/3]₁⁷/3

V = π[y³]₁⁷/9

V = [7³ - 1³]π/9

V = [343 - 1]π/9

V = 342π/9

V = 38π cubic units

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = [tex]\frac{48}{12}[/tex]

EI = 4

Therefore, Option D is the correct option.

Answer:

A. x = 3

Step-by-step explanation:

0 times 5 = 0

2 times 5 = 10

3 times 5 = 15 then its 75

5 times 5 = 25 then its 125

it never equals to 45 for 3

you have to do it to the power of 2 for 3 and 5

Answer:

to find the WX you have to use this formula

m>S=TR-WX/2

45=116-WX/2

90=116-WX

WX=116-90

WX=26

the answer is D 26

Answer:

D

Step-by-step explanation:

The secant- secant angle WSX is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (116 - WX)° = 45° ( multiply both sides by 2 to clear the fraction )

116 - WX = 90° ( subtract 116° from both sides )

- WX = - 26° ( multiply both sides by - 1 )

WX = 26° → D

Answer:

yes

Step-by-step explanation:

y=-16r^2+63r+4

maximum value of y :

y'=0

-32r +63=0

r= 63/32

y = -16(63/32)²+63(63/32)+4

= -4 + 124 + 4 = 124 ft

124 > 68

the Arrow can pass over the tree

Answer:

Midpoint of AC = (-1, 1)

Midpoint of BC = (1, -2)

Length of the midsegment = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

Vertices of a triangle ABC are A(0, 5), B(4, -1) and C(-2, -3).

Midpoint of segment AC = [tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

                                         = [tex](\frac{0-2}{2},\frac{5-3}{2})[/tex]

                                         = (-1, 1)

Midpoint of BC = [tex](\frac{4-2}{2},\frac{-1-3}{2})[/tex]

                         = [tex](1,-2)[/tex]

Length of the mid segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

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

                                              = [tex]\sqrt{4+9}[/tex]

                                              = [tex]\sqrt{13}[/tex]

Answer:

I believe it's 17.202

Step-by-step explanation:

first Lets add the number of people at the age of 50 and over who have done highschool only and some college.

1942+1057= 2999

then multiply that by 100 divided by the total:total

2999*100/17434=17.20201904

answer 17.202

I would still check though cause i'm not sure if this is correct

Answer:

13) [tex]n=-3,-7[/tex]

14) [tex]b=-4,-8[/tex]

15) [tex]m=-7[/tex]

16) [tex]a=-5,-7[/tex]

Step-by-step explanation:

Answer:

12x + 18y + 6z + 4x - 4z

Step-by-step explanation:

Given the expression : 3(4x + 6y + 2z) + 4(x – z)

To eliminate the parenthesis ; we use the distributive property :

3(4x + 6y + 2z) + 4(x – z) becomes ;

3*4x + 3*6y + 3*2z + 4*x + 4*-z

12x + 18y + 6z + 4x - 4z

Hence,

12x + 4x + 18y + 6z - 4z

16x + 18y + 2z

Answer:

1st one is 36

2nd one is 64

3rd one is square root of 72

4th one is square root of 128

Answer:.

Answer:1.we have dividend =divisor*quotient+remainder=

(x²+2x-1)(x²-2x+1)+(-4x+1)

=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1

=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1

=x⁴-4x²

Dividend is x⁴-4x².

2.

Multiplier is a-a²+1.

Answer:

[tex]i \: hope \: the \: above \: picture \\ helps[/tex]

[tex]have \: a \: nice \: day \: [/tex]

[tex]#Liliflim[/tex]

Answer:

d

Step-by-step explanation:

Answer:

7/2 cups of milk.

Step-by-step explanation:

1 3/4=7/4

2(7/4)=14/4=7/2

Answer:

7/2 cups of milk.

Step-by-step explanation:

If you want double the pancakes You must double the amount of milk:

First change it into an improper fraction:

1 3/4=7/4

then multiply it by two and simplify:

2(7/4)=14/4=7/2