7. Find the surface area of the prism.

Answer:

Step-by-step explanation:

B, i

Answer:

length:5

width:2

Hight:2

value:20

Step-by-step explanation:

The volume is 29 because length×width×hight=value so 5×2×2=20

Answer:

2x+2

Step-by-step explanation:

hello :

1/2 (4x + 4) =(1/2) (4x + (1/2) (4) = 2x+2

Answer:

165 Calories

Step-by-step explanation:

A gram of carbohydrate contains 4 calories. A gram of protein also contains 4 calories. A gram of fat, though, contains 9 calories

5x9=45 10x4=40 20x4=80 45+40+80= 165

Answer and Step-by-step explanation:

1.

First, move all the points of the triangle to the right by 4 units. After, move all the points of the triangle down by 4 units.

2. For all of the x-values, make them negative since we are going across the y-axis. The Y-values will be the same.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

C is correct.  Comparing the given g(x) = (x - 2)^2 + 1 to

                                                             y  =  (x - h)^2 + k     (h, k) is the vertex

we see that h = 2 and k = 1.  This is the location of the vertex in equation C.

Answer:

Step-by-step explanation:

This expression is a binomial; it has two terms.

Answer:

x less 21.5

Step-by-step explanation:

Given : the algebraic expression x - 21.5

a. 21.5 decreased by x

the expression becomes 21.5 - x

b. x more than 21.5

more than means we add , so expression becomes 21.5 +x

c. 21.5 minus x

For minus we use subtraction symbol,

so the expression becomes 21.5 -x

d. x less 21.5

x less 21.5 , we subtract 21.5

so the expression becomes x - 21.5 . that is the given expression

Answer:

30 square units

Step-by-step explanation:

We know that the area of a triangle is equal to half of the product between the base and the height.

In this case, we can see that one of the sides of the triangle is parallel to the x-axis, then we can define:

Base = difference between the two extreme x-values

In this case, the extremes (the point at the left and the point and the right) are:

(-5, 3) and (7, 3)

The difference between the x-values is:

D = (7 - (-5)) = 7 + 5 = 12

Then the base is 12 units long.

For the height, we can find the difference in the y-value between the lowest point and the highest one.

In this case, we have two points at the same height (both with y-value = 3)

and the top point is (4, 8)

The difference in the y-value is:

D = (8 - 3) = 5

Then the height is 5 units.

Now that we know the height and the base of the triangle, the area is:

A = (5 units)*(12 units)/2 = 30 square units.

Answer:

5,280,000

Step-by-step explanation:

He uses 200 ft to cover up 1 pound. To find how much he uses for 26,400. You'll multiply 200 times 26400

Answer:

the number of cups of strawberries needed in the recipe is ⁵/₄

Step-by-step explanation:

Given;

cups of strawberries needed for the smoothies =  1 and 1/4 cups

To obtain the number of cups of strawberries needed in the recipe as a single fraction, the given mixed fractions will be converted into an improper fraction.

Note: Improper fractions are always greater than 1

Number of cups of strawberries [tex]=1 + \frac{1}{4} = \frac{4 + 1}{4} = \frac{5}{4}[/tex]

Therefore, the number of cups of strawberries needed in the recipe is ⁵/₄

Answer:

b

Step-by-step explanation:

Answer:

176.63 cubic in. =A

Step-by-step explanation:

The area of a circle can be found by using the equation [tex]\pi r^{2}[/tex]=A. The problem gives us the diameter, but we need the radius. To find the radius divide the diameter by 2, so raduis= 7.5 in.

[tex]\pi r^{2}[/tex]=A

(3.14)([tex]7.5^{2}[/tex])=A

(3.14)(56.25)=A

176.63 cubic in. =A

Answer:

the 3rd choice is correct

Step-by-step explanation:

Step-by-step explanation:

it will cost $33.60 to fill a tank holding 16 gallons.

Answer:

$33.60

Step-by-step explanation:

Unit rate per gallon is $2.10 (find this by dividing the cost by the number of gallons)

Multiply this number by 16

2.10*16 = $33.60

Answer:

The remaining side and angles are [tex]a = 20\sqrt{3}[/tex], [tex]\angle A = 60^{\circ}[/tex] and [tex]\angle B = 30^{\circ}[/tex].

Step-by-step explanation:

According to the information given on statement, we are in front of a right triangle because [tex]\angle C[/tex], opossite to side [tex]c[/tex], is a right angle. Hence, [tex]c[/tex] is the hypotenuse of the right triangle and [tex]b[/tex], a leg. The missing length can be calculated by the Pythagorean Theorem:

[tex]a = \sqrt{c^{2}-b^{2}}[/tex] (1)

If we know that [tex]c = 40[/tex] and [tex]b = 20[/tex], then the length of the missing leg is:

[tex]a = \sqrt{c^{2}-b^{2}}[/tex]

[tex]a = 20\sqrt{3}[/tex]

Lastly, we find the value of the missing angles by means of direct and inverse trigonometric relations:

Angle A

[tex]\angle A = \tan^{-1}\left(\frac{a}{b} \right)[/tex] (2)

Angle B

[tex]\angle B = \tan^{-1} \left(\frac{b}{a} \right)[/tex] (3)

If we know that [tex]a = 20\sqrt{3}[/tex] and [tex]b = 20[/tex], then the values of the missing angles are, respectively:

Angle A

[tex]\angle A = \tan^{-1}\left(\frac{a}{b} \right)[/tex]

[tex]\angle A = 60^{\circ}[/tex]

Angle B

[tex]\angle B = \tan^{-1} \left(\frac{b}{a} \right)[/tex]

[tex]\angle B = 30^{\circ}[/tex]

The remaining side and angles are [tex]a = 20\sqrt{3}[/tex], [tex]\angle A = 60^{\circ}[/tex] and [tex]\angle B = 30^{\circ}[/tex].

Answer:

44 inches

Step-by-step explanation:

Given that :

Scale of drawing = 1 inch : 8 inches

Height of building in drawing = 5 1/2 inches

Using the scale provide for the drawing, the actual height of the building is :

Height of building in drawing * 8 inches

5 1/2 * 8

5.5 * 8 inches

= 44 inches

Answer:

x=-2

y=5

Step-by-step explanation:

x+2y=8   equation-1  

-x+3y=17 equation-2

5y=25

Both side divided 5,

y=5

Equation-1, y=5

x+2(5)=8

x+10=8

Both side -10

x+10-10=8-10

x=-2

Equation-2, y=5

-x+3(5)=17

-x+15=17

Both side -15

-x+15-15=17-15

-x=2

x=-2

Answer:

Arc length is equal to [tex]\theta r[/tex] where [tex]\theta[/tex] is the angle in radians and [tex]r[/tex] is the radius.

Question 1:

[tex]\frac{\pi}{2}=\frac{\pi}{6}\times3[/tex]

So the angle is CFD.

Question 2:

[tex]\pi=\frac{\pi}{3}\times3[/tex]

So the angle is AFE.

Question 3:

[tex]2\pi=\frac{2\pi}{3}\times3[/tex]

So the angle is AFB.

Question 4:

[tex]\frac{3\pi}{4}=\frac{\pi}{4}\times3[/tex]

So the angle is BFC.

Answer: 24 years

Step-by-step explanation:

Let Laurel's age be represented by x.

Since Maye is 28 years and he is 12 years older than 2/3 of Laurel's age, this can be represented in an equation as:

(2/3 × x) + 12 = 28.

2x/3 = 28 - 12

2x/3 = 16

Cross multiply

2x = 16 × 3

2x = 48

Divide by 2

x = 48/2

x = 24

Therefore, Laura is 24 years

Answer:

I would help but the picture that's on this question isn't letting me see it so I'll just make a joke....... sorry

if you need help with #2 then you should probably go to a doctor

Answer:

F

Step-by-step explanation:

If you used the first one

(4÷4) (4÷4) = 1 which is correct.

input the values in the equations and check each one

Answer:

F

Step-by-step explanation:

4 divided by 4 divided by 4 divided by 4 is 1

So the answer is F. hope this helps

Answer:

9/25

Step-by-step explanation:

Our box contains 10 socks. (6, which are black and 4 which are red)

Probability of picking 1 black sock will be 6/10

Number of ways it can occur / Total number of outcomes.

In this question we pick two socks, one black firstly and another black, in the second turn. When we say AND, it means intersection

P (B₁ ∩ B₂) = 6/10 . 6/10

When the events are independent, the probability of the intersection will be the product of the probabilities,

P (B₁ ∩ B₂) = 36/100 = 9/25

Answer: 2  :  1

Step-by-step explanation:

The batter calls for 2 cups of flour and 1 cup of milk.

That means that for every 2 cups of flour, the muffin batter would need 1 cup of milk.

Ratio of flour to milk will therefore be:

= Amount of flour needed : Amount of milk needed

= 2 cups of flour :  1 cup of milk

= 2  :  1

Answer:

It is 24 boxes

Step-by-step explanation:

How many boxes can fit into a cube with a volume of 288

Then, you divide the larger cube's volume(288) by the smaller cube's volume(12)

You will then get 24 boxes.

P.S. go ahead and click that crown pls ;)