What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, which numbers you multiplied to find the volume. You may want to use the formula for volume to find the solution.

Answer:

The simplest terms is, tan W=4.

Explanation:

Trigonometry is a discipline of mathematics that deals with certain angle functions and how to use them in computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Step by step:

Simplest term of tan W are calculated as:

We know that, [tex]tan[/tex]θ [tex]=\frac{opposite}{adjacent}[/tex]

According to the question:

[tex]tan W=\frac{VU}{VW} \\\\tan W=\frac{24}{6} \\\\tan W =4[/tex]

Hence,  The simplest form of tan W is 4.

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Answer:

option C

Step-by-step explanation:

[tex]5 = \frac{4}{3}(6y + 9)\\\\5 = \frac{4\times6y}{3} +\frac{4 \times 9}{3}\\\\5= 8y + 12[/tex]

Answer:

i'm not too sure myself how to answer the problem.. but that is a translation.. A translation is just moving the shape with really changing its form or anything, just its placement

Answer:

41

Step-by-step explanation:

This is the formula

a^2 + b^2 = c^2

35^2 + 21^2 = 1666

√1666 = 40.81...

Maybe you can estimate it to 41.

answer:

a = 28 millimeters

step-by-step explanation:

a^2 + 21^2 = 35^2

a^2 + 441 = 1225

a^2 = 784

a = 28 millimeters

Answer:

(3.5, -2)

Step-by-step explanation:

that point is where the edge if the rectangle is

Answer:

the answer is b

h^2= a^2+ b^2

h=√a^2+b^2

h=√5^2+3^2

h=√25+9

h=√34

Answer:

[tex]14 tan\theta = -48[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]

        [tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]

[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]

[tex]tan \theta = \frac{sin \theta}{cos \theta}[/tex]

          [tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]

[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]

Answer:

u need to provide the statement

Step-by-step explanation:

=======================================================

Explanation:

Sort the values from smallest to largest. Doing so leads to the list {1,4,6,8,8,9}

Since the set is small enough, you can probably notice that the middle most number is a tie between the 6 and the first 8. The midpoint is (6+8)/2 = 14/2 = 7.

The median is 7.

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

If you wanted, you could cross off the first and last items of the set

That means we go from {1,4,6,8,8,9} to {4,6,8,8}

Then repeat to get the smaller set {6,8}

This shows we have a tie between the 6 and 8 as the middle most item, and why 7 is the median (since 7 is the midpoint between 6 and 8).

Answer:

B. 156

Step-by-step explanation:

Brendan would need to improve his credit score by 75 points to qualify for a $150,000 mortgage with a monthly payment of $875 or less.

We have,

To determine Brendan's interest rate and monthly payment for a $150,000 mortgage, we need to find which range his FICO score falls in.

From the table, we see that his score of 544 falls in the range of 500-559, which corresponds to an interest rate of 9.29% and a monthly payment of $1238.

Next, we can use the mortgage payment of $10,500 per year to determine the maximum monthly payment Brendan can afford.

i.e

$10,500 per year / 12 months

= $875 per month

Since this amount is less than the monthly payment for the 500-559 FICO score range, Brendan would need to improve his credit score to qualify for a $150,000 mortgage.

To determine how many points he needs to improve, we can look at the next lowest interest rate and payment in the table, which corresponds to a FICO score range of 560-619.

The monthly payment for this range is $1157, which is below Brendan's maximum payment of $875.

So, he needs to improve his credit score to fall into this range.

To determine how many points he needs to improve,

we can subtract the minimum FICO score in the 560-619 range (560) from his current FICO score (544), and then add that difference to the maximum FICO score in the 560-619 range (619).

i.e

(619 - 560) + (560 - 544)

= 59 + 16

= 75

Therefore,

Brendan would need to improve his credit score by 75 points to qualify for a $150,000 mortgage with a monthly payment of $875 or less.

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Answer:

1 and 1/4

Step-by-step explanation:

add 3/4 and 1/2, divide 1/2 into 2/4 and when you add 2/4 to 3/4 you have an extra quarter. therefor you have 4/4 and 1/4 which is 1 and 1/4.

hope this helps <3

Answer:

[tex]1\frac{1}{4}[/tex]

Step-by-step explanation:

Step 1: Add the given values (Since we don't know the original amount and we are given the amount of which is changed with, we need to add those amounts together to know by how much the liquid beaker changed.)

[tex]\frac{3}{4} = 0.75\\\\\frac{1}{2} = 0.5\\\\0.5 + 0.75 = 1.25\\\\\frac{3}{4} + \frac{1}{2} = 1\frac{1}{4}[/tex]

Therefore, the overall change in the amount of liquid in the beaker is [tex]1\frac{1}{4}[/tex] liters.

Answer:

8.8

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

You are welcome tdydhduyxuhdy

Answer:

60°

Step-by-step explanation:

Answer:

A) 60

Step-by-step explanation:

Each Angle in a hexagon equals 120

X is supplementary to one of those angels, therefore 180-120 = 60

Answer:

402.124

Step-by-step explanation:

2pirL = 2 x π x 8 x 8

Answer: 804.08

Step-by-step explanation:

Answer:

2.25 feet deep

Step-by-step explanation:

The volume was given as (11.13 cubic feet)

Length as (2.6 feet)

Width as(1.9 feet)

Volume of triangular prism can be written as ( length × width × height)

Volume= ( length × width × height)

Then substitute the values, we have

11.13 = 2.6 × 1.9 × height

Height= 11.13/(2.6×1.9)

= 11.13/4.94

= 2.25 feet

Answer:

The area of a circle is pi times the radius squared.

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hope it helps...

have a great day!!

Answer:

y=2

Step-by-step explanation:

-2y+1=y-5

Add 2y to each side

-2y+2y+1=y+2y-5

1 = 3y -5

Add 5 to each side

1+5 = 3y-5+5

6 = 3y

Divide each side by 3

6/3 = 3y/3

2 =y

Answer:

y=2

Step-by-step explanation:

Move y to the other side by subtracting by y on both sides:

-y-2y+1=y-y-5

-3y+1=-5

Move the 1 to the other side by subtracting by 1 on both sides:

-3y+1-1=-5-1

-3y=-6

Divide -3 on both sides to eliminate the -3 on y

-3y/-3=-6/-3

y=2

Answer:

18 cents per ounce

Step-by-step explanation:

Take the total cost and divide by the number of ounces

2.88 /16 =.18

18 cents per ounce

Answer:

.18

Step-by-step explanation:

2.88/16=.18

Answer:

4.8 is the answer!

Step-by-step explanation:

0.6 x 8 = 4.8

6 x 8 = 48

multiply 6 by 8, and move the decimal to the left one time, and get 4.8

Answer: 4.8

Step-by-step explanation: multiply 6*8 (which is 48) then move the decimal point one forward from the back

48.0 (this is before you move the point)

4.8 (this is after)

basically depending on how much numbers you have after the decimal point, that's how much you move forward!

Let me know if you have more questions!

Good luck!

Answer:

m= -1/3

Step-by-step explanation:

to find the slope you have to go from any point on the line to a second point on the line.

for example go from point located at (-4, 2) to point (2,0)

slope = how much you moved vertical / how much you moved horizontal

look at the graph at (-4, 2)

move down 2 and then

move right 6 you should be at (2, 0)

which means that the slope m= -2/ 6 = -1/3

Answer:

33333333333333333333333333333333333333333

Step-by-step explanation:3333333333333333333333333333333333333333

y = 248 - 2x

good luck :))))

Answer:

6 - 14t

Step-by-step explanation:

2(3-7t)

Distribute

2*3 - 2*7t

6 - 14t

Answer:

6 - 14t

Step-by-step explanation: