Mr. Falk is going to replace the carpet in his basement. The basement is
rectangular with a length of 27 feet and a width of 18 feet. If the cost of the
carpet is $32 per square yard, what will be the total cost?*

Answer:

angle R = 37

angle Q= 114

angle p = 29

Step-by-step explanation:

(3x+3) +(x-8) +(x) =180

5x-5=180

x=185/5

x=37

Answer:

2,889 digits

Step-by-step explanation:

Total pages of the book = 999 pages

Page 1 - 9 cut separately = 9 digits

Page 10 - 99 = 90 pages

Total digits = 2(90)

= 180 digits cut separately

Page 100 - 999 = 900 pages

Total digits = 3(900)

= 2,700 digits cut separately

how many separate digits does Kai have when he is finished

Total separate digits Kai have when he is finished = 9 digits + 180 digits + 2700 digits

= 2,889 digits

Total separate digits Kai have when he is finished = 2,889 digits

Answer:

2

Step-by-step explanation:

This is because any of the sides can be the one measuring 3 inches. Since it is a triangle, the sum of angles is 180. Let the third angle be x.

So, x + 90° + 70° = 180°

x + 160° = 180°

x = 180° - 160°

x = 20°

So, the third angle is 20°.

If the included side is a side other than the hypotenuse side, we can find it by applying the sine rule.

The included side can be either side other than the hypotenuse.

Also, either of the third angle in each triangle can be 20°

So, we have two sides and two triangles.

If the included side is the hypotenuse side, we use Pythagoras' theorem to find the length of the other two sides (and they must be equal)since the angle between the two sides is a right-angle, that is, 90°.

Since the other two angles are not equal, we cannot have a triangle with two equal sides and an hypotenuse. That is, we cannot have an isosceles triangle. So, no third triangle.

So, the total number of triangles that can be drawn with one 90° angle, a 70° angle and an included side measuring 3 inches is 2.

you are correct

Step-by-step explanation:

mark me as a brainlist

Answer:

would you still like me to help you with this problem?

Answer:

7.48

Step-by-step explanation:

[tex]9^{2} = 5^{2} + x^{2} \\81 = 25 + x^{2} \\x^{2} = 81-25= 56\\x = \sqrt{56} = 2\sqrt{14} =7.48\\[/tex]

Answer:

Step-by-step explanation:

Answer:

The smaller number is: 8

The bigger number is: 20

Step-by-step explanation:

Ok let's say the two numbers are x and y.

x is the smaller one, and y is the bigger one.

This is the equation to find x:

x + 4y = 88

x + y = 28

x - x + 4y - y = 88 - 28

3y = 60

y = 20

x + 20 = 28

x = 8

Answer:

7 x − y = 17

Step-by-step explanation:

Apply the distributive property.

y + 3 = 7 x+ 7 ⋅ − 2

Multiply  7  by  − 2 .

y + 3 = 7x − 14

Rewrite the equation with the sides flipped.

7 x − 14 = y + 3

Move all terms containing variables to the left side of the equation.

Subtract  y  from both sides of the equation.

7x−14−y=3

Move -14.

7x−y−14=3

Step-by-step explanation:

Answer: $9,500

Step-by-step explanation:

If the value of the car depreciates by 5% in a year it means that the value of the car reduced by 5%.

First find the 5%:

= 5% * 10,000

= $500

Subtract this from the initial value to find the value after a year:

= 10,000 - 500

= $9,500

Answer:

$ 9500

Step-by-step explanation:

From the question given above, the following data were obtained:

Initial value = $ 10000

Depreciation rate = 5%

Value after one year =?

Next, we shall determine the depreciation value. This can be obtained as follow:

Initial value = $ 10000

Depreciation rate = 5%

Depreciation value =?

Depreciation value = Initial value × rate

Depreciation value = 10000 × 5%

Depreciation value = 10000 × 5/100

Depreciation value = $ 500

Finally, we shall determine the value of the car after one year. This can be obtained as follow:

Initial value = $ 10000

Depreciation value = $ 500

Value after one year =?

Value after one year = Initial value – Depreciation value

Value after one year = 10000 – 500

Value after one year = $ 9500

Therefore, the value of the car after one year is $ 9500

Answer:

t = 59°

Step-by-step explanation:

t and 59° are vertically opposite angles and are congruent , so

t = 59°

Answer:

[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]

Step-by-step explanation:

Simplify each term.

Answer: the answer is either e or d but I guessed d

Step-by-step explanation:

The equivalent set to set S will be {12, 16, 20, ..., 36} thus, option (E) is correct.

A set is a collection of distinct values where each variable's meaning must be the same.

For instance, the set of natural numbers 1, 2, 3, 4, 5, and 6 is made up of variables that each represent a different natural number.

As per the given,

x is the multiple of 4,

4,8,12..

But is it restricted in the domain as, 9 ≤ x < 37

Thus, {12, 16, 20, ..., 36} will be correct.

Hence "The equivalent set to set S will be {12, 16, 20, ..., 36}".

To learn more about the sets,

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Answer:

meter probably

Step-by-step explanation:

Answer:

Mean=2.53

median=2

mode=2

range=3

Step-by-step explanation:

1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4

MEAN

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

38/15=2.53

MEDIAN

Arrange data values from lowest to the highest value

The median is the data value in the middle of the set

If there are 2 data values in the middle the median is the mean of those 2 values.

MODE

Mode is the value or values in the data set that occur most frequently.

RANGE

18-15=3

[tex]C. \: 8 \sqrt{3} [/tex]✅

Step-by-step explanation:

[tex] \sqrt{192} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 3} \\ = \sqrt{ {8}^{2} \times 3 } \\ = 8\sqrt{3}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)

V = pi(4)^2(6)

V = 301.59

Rounded* = 301.6

2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3

4/3pi(18)^3

D =  24429.02

Rounded* = 24429.0

I cant read the last one completely, hope this helps.

Answer:

Step-by-step explanation:

Simple interest per year = $17,500 (0.0825) = $1,443.75 Simple interest = $8,662.50 Joseph Harris is considering an investment that pays 6.5 percent annually

Answer:

[tex]\huge\boxed{Law \ Of \ Sines \hookleftarrow}[/tex]

[tex]\huge\bold{\frac{a}{ \sin (A)} = \frac{b}{ \sin \: (B) } = \frac{c}{ \sin \:( C) }} [/tex]

➟ In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

(5, - 3 )

Step-by-step explanation:

Under a refection in the line y = x

a point x, y ) → (y, x ), then

(- 3, 5 ) → (5, - 3 )

The reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

The vector is (-3, 5)

The reflection line is y = x

The transformation rule:

(x, y) → (y, x)

(-3, 5) → (5, -3)

Thus, the reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).

Learn more about the geometric transformation here:

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Answer:

Teorema de Pitágoras

Step-by-step explanation:

Answer is 9.

Answer:

It is C.

First of all, we can see that angle 1 is 132 degrees because they are the same angles/measurements. Therefore, angle 1 and angle 3 are also supplementary as they create a straight line, or 180 degree angle. As they are supplementary, angle 1 + angle 3 = 180. We know that angle 1 is 132, so we have 132 + angle 3 = 180, and angle 3 is 42 degrees.

Answer:

C. 8.66 in

Step-by-step explanation:

Using the formula of circumference of a circle

[tex]2\pi \: r [/tex]

then,

first find r by plagging in the given data.

so, r = 4.33 in

since it's diameter needed, then

r + r = d

4.33 in + 4.33 in = 8.66 in

Answer:

For #7, the answer is 30.3 yd

For #8, the answer is 32.34 in

For #9, the answer is 56.26 ft

Explanation: The formula for an area of a parallelogram is ( A=bh)

Hope that helped!!

Answer:

3 and 5 show how to convert 18 inches into yards

Answer:

Numer 3 and number 5.

Answer:

sin (π/3)= √3/2

cos (π/6) =√3/2

Answer:

12 ft by 15 ft

Step-by-step explanation:

set up a proportion of inches over feet equals inches over feet:

.5/10 = .6/x

cross-multiply to get:

.5x = 6

x = 12

.5/10 = .75/y

cross-multiply to get:

.5y = 7.5

y = 15