rea Calculations
1.
What is the surface area of the bottom of a rectangular storage
tank 10 feet long and five feet wide?

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.

cos θ = base / hypotenuse

Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.

Then the cosine of the angle ∠B will be given as,

cos θ = base / hypotenuse

cos B = 3 / 5

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Answer:

(4x-5)(x+2)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

Answer:

750 cubic feet

Step-by-step explanation:

Answer:

Circle, angle, and line segment.

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

First, we need to to multiply out the parathesis in the equation:

5x + 2(x - 4) = 5x + x - 10

5x + 2x - 8 = 5x + x - 10

Next, we can combine "like terms" to simplify the equation further:

5x + 2x - 8 = 5x + x - 10

7x - 8 = 6x - 10

Now we can isolate the variable "x" to one side:

7x - 8 = 6x - 10

x - 8 = -10

x = -2

To check our work, we can replace x with -2 in our original equation:

5x + 2(x - 4) = 5x + x - 10

5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10

-10 + 2 (-6) = -10 -2 - 10

-22 = -22

I hope this helps!

-TheBusinessMan

Answer:

Surface area = 70π cm²

Step-by-step explanation:

Surface area = πr² + πrl

Surface area = (π × 5 × 5) + (π × 5 × 9)

Surface area = (25π) + (45π)

Surface area = 70π cm²

Answer:

a) 24[tex]ft^2[/tex]

b) 52ft

Step-by-step explanation:

a)

This question asks to find the capacity of the container. This is essentially asking what the volume of the container is. This can be done by multiplying the length by the width by the height.

4 * 2 * 3

= 24

b)

This question is asking how much material was used to make the prism. This is essentially asking what the surface area of the prism is. This can be found by finding the area of all the sides of the prism and then adding it up. Since it is a rectangular prism, opposite faces are congruent, hence one only has to find the area of three faces, add it up, then multiply it by two to find the answer.

2 ( 4 * 2 ) + 2 ( 3 * 4 ) + 2 ( 2 * 3 )

= 2(8) + 2(12) + 2(6)

= 16 + 24 + 12

= 52

Answer:

6j(5k+3)

Step-by-step explanation:

18j+30jk

Factor out 6.

6(3j+5jk)

Consider 3j+5jk. Factor out j.

j(3+5k)

Rewrite the complete factored expression.

6j(5k+3)

Answer:

greatest common factor is 12xy² .

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

( 282 - 14 ⋅ 3 ⋅ 6 ) / ( 6 ) - ( 21 - 18 )

= 30/( 6 ) - ( 21 - 18 )

= 30/( 6 ) - 3

[tex]=\frac{30}{6} -3[/tex]

= 2

Answer:

[tex]27[/tex]

Step-by-step explanation:

1) Simplify 14 × 3 to 42.

[tex]282 - 42 \times 6 - (21 - 18)[/tex]

2) Simplify 21 - 18 to 3.

[tex]282 - 42 \times 6 - 3[/tex]

3)Simplify 42 × 6 to 252.

[tex]282 - 252 - 3[/tex]

4) Simplify 282 - 252 to 30.

[tex]30 - 3[/tex]

5) Simplify.

[tex]27[/tex]

Therefor, the answer is 27.

Step-by-step explanation:

3(x - 5) = 6

x - 5 = 2 (divide 3 on both sides)

x = 7 (add 5 on both sides)

The solution is x = 7.

3(x-5)=6

multiply 3 by x and -5

3x-15=6

add 15 on each side

it cancels out on the left nd on the right u get 21

so it would be

3x=21

divide by 3 on each side

X=7

Check:

3(7-5)=6

3(2)=6

6=6

Answer:

a) mean =  11.1

b) Standard Deviation = 5.191

Step-by-step explanation:

Given the data in the question;

x = 5.2, 13.8, 8.6, and 16.8

sample n = 4

so;

            x            ( x - mean)²

          5.2             34.81

          13.8            7.29

          8.6             6.25

          16.8            32.49

∑        44.4            80.84

a) Mean

Mean = total sum of the sample divided by the sample size

mean = ∑x / n

we substitute

mean = 44.4 / 4

mean =  11.1

b)

Standard Deviation is the Square root of variance;

Variance = ∑(x-mean)² / n - 1

we substitute from the above table

Variance =  80.81 / 4 - 1

Variance =  80.81 / 3

Variance =  26.94667

now since Standard Deviation is the Square root of variance;

Standard Deviation = √Variance

Standard Deviation = √26.94667

Standard Deviation = 5.191

Answer:

Step-by-step explanation:

diameter = 10 in

radius = 5 in

area = π5² = 25π ≅ 78.5 in²

Answer:

135

Step-by-step explanation:

you need to explain the actual question and not put an image without context

Answer:

angle a = 70

angle b = 45

angle c = 65

Step-by-step explanation:

Now we will try to find the measure of the unknown angle together. Starting with angle b.

Angle b and 135 make a 180 angle together therefore the following expression.

angle b + 135 = 180

b = 45

Now that we have angle be we can try to find angle a. As we know, vertical angles are always equal to one another. Angle a and 70 are vertical to each other.

a = 70

Now that we have angle a and b we can finally find c. A triangle is the a sum of 180 degrees so, a + b + c = 180

70 + 45 + c + 180

c = 65

Answer:

yes ikow

Step-by-step explanation:

you can do that if you want to buy

Answer:

where the graph?

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

i think you mean +10x

but (x+a)^2 = x^2 + 2ax + a^2

2ax = 10x

ax = 5x

a = 5

so (x+5)^2 = x^2+10x+25

Answer:

Step-by-step explanation:

Using first equation in the second gives you

x-3(-2x+1)=11

x+6x-3=11

7x-3=11

7x=14

x=2, making y=-2x+1 become

y=-2(2)+1

y=-4+1

y=-3 so the solution is the point

(2,-3)

Answer:

If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.

Step-by-step explanation: pls brain list

Answer:

Net Mass = 520 g

Step-by-step explanation:

Given:

Waste = 240 g

Gross mass = 760 g

Find:

Net Mass

Computation:

Net Mass = Gross mass - Waste

Net Mass = 760 g - 240 g

Net Mass = 520 g

Answer: 4(−x+2)(x+3)

Step-by-step explanation:

−4x+24−4x^2

−4x^2−4x+24

4(−x+2)(x+3)

Answer:

This statement is false because there are waves and currents which changes because of the moon

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

hope this helps!

Answer:

I think it is A, C, E

Step-by-step explanation:

Answer:

First and last

Step-by-step explanation:

(4x - 7) (x + 3)

FOIL

4x^2 + 5x - 21