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Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

2x+35=5x-22

2x-5x=-22-35

-3x=-57

3x=57

x=57/3

x=19

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³.

The volume is the space occupied by an object. The volume of the compound shape equals the sum of the individual volumes, that is, of each part, which are represented by two hemispheres and a right cylinder.

Now we proceed to determine the volume of the compound shape (V), in cubic inches, by apply the following calculation:

V = (4/3) · π · (3 in)³ + π · (3 in)² · (10 in)

V = 66π in³

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³. [tex]\blacksquare[/tex]

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Answer:

y = -x + 3

Step-by-step explanation:

the equation is parallel to the line

y + x = 4

y = 4 - x

parallel means the same slope. So our new equation has a slope of -1

Now, the equation of a line is given by y = mx + b where m is the slope.

y = -x + b

now we plug in the points given in the question to find b.

4 = 1 + b

b = 3

so the final answer is y = -x +3

make sure to comment if you need any further guidance.

Answer:

42

Step-by-step explanation:

If you add all the number in the stem and leaf plot it equals 336 and you divide by how many numbers there are and there are 8 numbers so 336/8=42

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Answer:

1008 in^3

Step-by-step explanation:

V= l*w*h

12.8*10.5*15=2016 in^3

The tank is half full

2016/2= 1008

1008 in^3

Answer:

Step-by-step explanation:

Let me see if I understand what you mean. Do you mean can you have 153 dollars in your pocket when all you have is 5 dollar bills?

If that is what you mean, then no that isn't possible. You can get 150 dollars or you can get 155 dollars, but you can't get 153.

In order to do the problem, using only 5 dollar bills, the number you choose must end in 0 or 5. If it ends in anything else, the task is impossible.

Debble uses 8 ounces of apples to make one serving of applesauce.

12 servings of applesauce can she make with 6 pounds of apples.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Debble uses 8 ounces of apples to make one serving of applesauce.

There are 16 ounces in 1 pound

1 ounce = 1/16

8 ounces = 1/16 x 8

 = 0.5 pounds

8 ounces of apples to make one serving of applesauce.

0.5 pounds apples = 1 serving of applesauce.

1 pound of apples = 1 / 0.5 serving of applesauce.

6 pounds of apples =

= [tex]\frac{1}{0.5} \times 6\\\\\frac{60}{5}\\ \\12[/tex]

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Answer: 312.3 square feet

Step-by-step explanation:

The area of Felipe’s bedroom floor is 312.3 square ft.

If we have a right-angled triangle then we can write the following equation,

(Hypotenuse)² = (Base)² + (Height)²

In the given figure attached below  the properties are as follows:

In the given question and in the figure attached below the given values are:

By applying Pythagoras theorem in ΔKML we get,

(KM)² = (KL)² + (ML)²

Putting all the values in the above equation,

(25)² = (KL)² + (18)²

By rearranging,

(KL)² = (25)² - (18)²

Applying the formula, a² - b² = (a + b)(a - b) we get,

(KL)² = (25 + 18)(25 - 18)

(KL)² = 43 × 7

KL = √301 ft.

Now the area is,

area = KL × ML

        = (√301 × 18) square ft.

        = 312.3 square ft.

Therefore, the area of Felipe’s bedroom floor is 312.3 square ft.

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Answer:

[tex]\huge\boxed{\sf n = 11}[/tex]

Step-by-step explanation:

Total trees = 1260 trees

Maple trees:

[tex]\displaystyle = \frac{1}{5} \ of \ total \ trees\\\\= \frac{1}{5} \times \ 1260\\\\= \frac{1260}{5} \\\\= 252 \ maple \ trees[/tex]

Beech trees:

Given that:

Maple trees = 3 × beech trees

=> There are 252 maple trees.

252 = 3 × beech trees

Divide 3 to both sides

252 / 3 = beech trees

84 trees = beech trees

[tex]\boxed{\sf beech \ trees = 84 \ trees\\}[/tex]

Oak trees:

It is said that all other trees are oak trees.

So, oak trees will be:

= total trees - maple trees - beech trees

= 1260 - 252 - 84

= 924 trees

The ratio of oak trees to beech trees:

= 924 : 84

Divide 84 to both sides

= 11 : 1

The question says:

number of oak : number of beech = n : 1

So, from the answer, it is clear that:

n = 11

[tex]\rule[225]{225}{2}[/tex]

The measure of the reflected angle is equal to the measure of the original angle

An image or figure reflected are mirror images of each other. While the coordinate points of the vertices of a figure are affected by reflection, the angles remain the same.

Hence if an angle is reflected across the y−axis, the measure of the reflected angle is equal to the measure of the original angle

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Answer:

  6 feet

Step-by-step explanation:

Corresponding vertices of the congruent triangles are listed in the same order in the congruence statement. Given that ΔABC ≅ ΔDEF, that means vertices A and B correspond to vertices D and E.

Segment DE will have the same length as segment AB, 6 feet.

Answer:

6

Step-by-step explanation:

Answer:

  113.1 m³

Step-by-step explanation:

In terms of diameter, the volume of a sphere is given by the formula ...

  V = (π/6)d³

For a diameter of 6 m, the volume is ...

  V = (π/6)(6 m)³ = 36π m³ ≈ 113.1 m³

The volume of the sphere is about 113.1 cubic meters.

Answer:

38 minutes

Step-by-step explanation:

You have to see how long between the beginning time and ending time.

Hope this helps.

Answer: 60 cubic units is the volume

Step-by-step explanation: multiply the base area and the height. The base area is 4 cubes and 3 cubes so equals 12 . Then the height is 5 cubes so multiply equals 60 but I am sorry I only know the volume

Answer: all answers down below ⬇️

Step-by-step explanation:

The volume is 56

I added by 5s until i got 50 units and then there were only six more

Well if that happend the volume would be 36 if I’m right

add by 5s then 4s

Answer:

B. cos(x+y) + cos(x-y)= 2cosx.cosy

Step-by-step explanation:

cos(x+y) + cos(x-y)

= cosx.cosy - sinx.siny + cosx.cosy + sinx.siny

=cosx.cosy + cosx.cosy

=2cosx.cosy

Solving the system of equations, it is found that the before-tax price of a chicken dinner is of $15.5.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The system is given by:

27c+ 17s = 809.50

46c + 34s = 1,495.00

Multiplying the second equation by -0.5 and adding with the first we can remove s, hence:

27c+ 17s = 809.50

-23c - 17s = -747.50.

4c = 62.

c = 62/4.

c = 15.5.

The before-tax price of a chicken dinner is of $15.5.

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Answer:

Pack of 6 apples for £1.65 is better because the price of 1 apple is less in this answer.

Answer:

-4

Step-by-step explanation:

(-2)^2=4 because a negative number squared is always positive

-(2)^2=-4

Answer:

A

Step-by-step explanation:

I got it correct on study island.

Slope:- -1/3

y-intercept:-  2

Hope it helps.

Do comment if you have any query.

Answer:

Slope: -1/3

Y-intercept: 2

Explanation:

The equation y = 2 - 1/3x is in slope-intercept form.

The format of slope intercept is y = mx + b, where m = slope and b = y-intercept.

The slope is the coefficient of x.

Hence, the slope of y = 2 - 1/3x is -1/3.

As for the y-intercept, that is the constant.

The constant in y = 2 - 1/3x is 2. Hence, the y-intercept is 2.

Answer:

4, 4, 4, 4, and 4

Step-by-step explanation:

mode = 4

median = 4

so we know two of the five numbers are 4;

[tex](x+x+x+4+4)/5 =4[/tex]

[tex](3x+8x)/5 = 4[/tex]

multiply both sides by 5

[tex]3x+8=20\\3x=20-8\\3x=12\\x=4\\[/tex]

therefore; the numbers are all 4

Answer:

6.9

Step-by-step explanation:

I took the USATP hope it helps

Answer:

24

Step-by-step explanation:

Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]

Solving:

[tex]a^2+7^2=25^2[/tex]

[tex]a^2+49=625[/tex]

[tex]a^2=579[/tex]

[tex]\sqrt{a^2} = \sqrt{579}[/tex]

[tex]a=24[/tex]

Checking:

[tex]24^2+7^2=25^2[/tex]

Answer:

24

Step-by-step explanation:

Use the Pythagorean Theorem:

A^2 + B^2 = C^2

See the attached image.

Answer:

$27.5

Step-by-step explanation:

Other solution

38.2 X 0.8 = 30.56 (20% off)

30.56 X 0.9 = 27.504 (Another 10% off)

Answer:

Step-by-step explanation:

(3x + 2) - (x + 5)

1(3x + 2) - 1(x + 5)

3x + 2 - x - 5 <== combine like terms

3x - x + 2 - 5

2x - 3 <== final answer, linear binomial

(2x + 8) + (3x² - 2)

1(2x + 8) + 1(3x² - 2)

2x + 8 + 3x² - 2

3x² + 2x + 6 <== final answer, quadratic trinomial

(3x + 8) + (4x² - x)

1(3x + 8) + 1(4x² - x)

3x + 8 + 4x² - x

4x² + 2x + 8 <== final answer, quadratic trinomial

(x² + 5x minus (-) 2) + (8 minus (-) 5x)

(x² + 5x - 2)  + (8 - 5x)

1(x² + 5x - 2)  + 1(8 - 5x)

x² + 5x - 2 + 8 - 5x

x² + 6 <== final answer, quadratic binomial

(x² + 7x) - (x² + 5)

1(x² + 7x) - 1(x² + 5)

x² + 7x - x² - 5

7x - 5 <== final answer, linear binomial

Hope this helps!

Answer:

The answer is in the image

Step-by-step explanation:

Answer:

for the first one you find the slope and y intercept and for the second one get Y by itself so you have to subtract the 2x and put it on the 16 side first so it will look like this Y=-2x+16 then find your answer

Step-by-step explanation:

Hope this helps you

[tex]y=3x+1~~~...(i)\\\\2x+y=16~~~...(ii)\\\\\text{Substitute y= 3x+1 in eq (ii):}\\\\2x+3x+1 = 16\\\\\implies 5x +1 = 16\\\\\implies 5x = 16-1 = 15\\\\\implies x = \dfrac{15}5 = 3\\\\\text{Substitute x = 3 in equation (i):}\\\\y= 3(3) +1 = 9+1 = 10\\\\\text{Hence,}~ (x,y) = (3,10)[/tex]