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Answer:

The perimeter and area of the square are 56 units and 196 square units, respectively.

Step-by-step explanation:

The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is [tex]\sqrt{2}[/tex] time the length of any of its legs. If the hypotenuse has a measure of [tex]7\sqrt{2}[/tex], then the legs of the triangle have a measure of [tex]7[/tex].

Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.

Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:

Perimeter

[tex]p = 4\cdot l[/tex] (1)

Area

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

Where [tex]l[/tex] is the side length of the square.

If we know that [tex]l = 14[/tex], then the perimeter and area of the square are, respectively:

[tex]p = 4\cdot (14)[/tex]

[tex]p = 56[/tex]

[tex]A = 14^{2}[/tex]

[tex]A = 196[/tex]

The perimeter and area of the square are 56 units and 196 square units, respectively.

Answer:

Replace the variable m with 32

in the expression.

3/4⋅(32)−12 Simplify each term.

24−12 Subtract 12 from 24.

12

Step-by-step explanation:

Answer:

D I just did this

Answer:

[tex]C = 24800-4x[/tex]

Step-by-step explanation:

Given

[tex]Module =4[/tex]

[tex]Unit\ cost = \$6200[/tex]

[tex]Unit\ Discount = x[/tex]

Required

The expression for total discount

When the discount is applied, the cost (c) of 1 module is:

[tex]C = 6200-x[/tex]

For 4 modules, we have:

[tex]C = 4 * (6200-x)[/tex]

Open bracket

[tex]C = 24800-4x[/tex]

Answer:

Total sales made = $ 4500

Step-by-step explanation:

The complete question is

Bia earns a commission on the sales she makes each month. Within a month, Bia earns a 3%  commission on the first $3000 she has in sales. She earns a  4.5 % commission on the amount of her sales that are greater than $3000 .This month, Bia earned  in commission $157.50. How much money, in dollars, did she have in sales? Enter a number in the space provided.

Solution

3% of the total sales made is the commission on the first $3000 for Bia and on the remaining sum of money the profit made was

Thus,

3% of 3000 + 4.5% of (X -3000) = $157.50

On solving we get -

3% * 3000 + 4.5% * (X-3000) = $157.50

$90 + 4.5% * (X-3000)  = $157.50

$90 + 0.045 X - $135 = $157.50

0.045 X =  $157.50 + $135 - $90

X = 4500

Total sales made = $ 4500

Answer:

V = 4.187r³

Step-by-step explanation:

Volume of a sphere is expressed using the formula;

V = 4/3πr³

r is the radius

Substitute π = 3.14 into the formula

V = 4/3 * 3.14r³

V = 4.187r³

Hence the volume of a sphere in terms of the radius is V = 4.187r³

Answer:

sorreyyyy mateeeeee dont know the answer

Answer:

B. Combination; number of ways = 15

Step-by-step explanation:

Since order doesn't matter, this is a combination:

6 choose 2 = 6 nCr 2 = 6!/(6-2)!2! = 720/(24)(2) = 720/48 = 15

Therefore, there are 15 possible ways to choose 2 co-captains out of 6.

Combination; the number of ways = 15.

Option B is the correct answer.

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The problem involves selecting two seniors out of a group of six seniors, which is a combination problem.

The number of ways to choose two seniors out of six seniors is given by the formula:

C(6,2) = 6! / (2! * 4!) = 15

Therefore,

Combination; the number of ways = 15.

Learn more about combination here:

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Answer:

a) [tex]\frac{19}{52}[/tex]

b) [tex]\frac{7}{52}[/tex]

Step-by-step explanation:

Total number of students = 52

Number of students who are democrats = 26

Number of students who are business majors = 12

Number of students who are business majors as well as democrats = 7

Now, lets come to the question.

a) Number of students who are democrats but not business majors =

(Number of democrats) - (Number of democrats as well as business majors)

⇒ 26 - 7

⇒ 19

∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]

b) Number of students who are neither democrats nor business majors =

(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)

⇒ 52 - (26 + 12 + 7)

⇒ 52 - 45

⇒ 7

∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]

Answer:

23,030

Step-by-step explanation:

Add you base price, keyless entry, engine cooling, read window defogger and destination charge together.

Answer:

12 shirts

Step-by-step explanation:

Since John has 8 pants and 2 x 4 is equal to 8. Then you must multiply the number of shirts by 4 (3 x 4) to give you the number of shirts, which is 12.

Check:

2/3 is equivalent to 8/12

Hope this helps :)

Therefore, the midpoint of segment AB is M (2, 3/2).

The midpoint formula is a method to determine the midpoint of a line segment.

To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:

midpoint x-coordinate = (x1 + x2)/2

midpoint x-coordinate = (-3 + 7)/2

midpoint x-coordinate = 4/2

midpoint x-coordinate = 2

Now, let's find the y-coordinate of M by applying the midpoint formula:

midpoint y-coordinate = (y1 + y2)/2

midpoint y-coordinate = (6 + (-3))/2

midpoint y-coordinate = 3/2

For such more question on segment

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Answer:

The 24 because it is suposed to cost 6.76 and it cost 5.90.

Answer:

no.D) 18% is the answer of this question

Answer:

Your answer is C!

Answer:

9.4 ounces

Step-by-step explanation:

this equation can be derived from the question

$5.75 + $0.45t = 10

where t = ounces of toppings

combine like terms

$0.45t = 10 - $5.75

$0.45t = $4.25

t = 4.25 / 0.45

t = 9.4 ounces

Answer:

120°

Step-by-step explanation:

The angles that has 120° is the same as angle E.

Angle E = 120°

Angle D = 180° - 120° = 60°

60° + Angle F = 180°

Angle F = 180° - 60°

Angle F = 120°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

answer is A

Step-by-step explanation:

50+90=140

180-140=40

brainliest plz

It would be 98 ft,

when you add all the numbers you would get 98, 21 + 7 + 6 + 21 + 15 + 28 = 98

Answer:

B and D

Step-by-step explanation:

Answer:

46.5

Step-by-step explanation:

Using the Pythagoras' Theorem, this is the answer you would get.

I hope this helped☺

Answer:

900

Step-by-step explanation:

(n-2)*180

5*180=900

Answer:

900°

Step-by-step explanation:

The polygon shown in the picture has 7 sides. The formula for finding the sum of interior angles of an n-gon is:

(n - 2)(180)

We can substitute in 7 for n to get the sum:

(7 - 2)(180)

(5)(180)

900°

Answer:

100.05 in^2

Step-by-step explanation:

Area of parallelogram: base times height

=11.5 x 8.7=100.05 in^2

Answer:

A. 45°

Step-by-step explanation:

I calculated it logically

"The sum of two numbers is 20" can be translated mathematically into the equation:

x + y = 20.

"... and their difference is 10" can be translated mathematically as:

x - y = 10

We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:

Adding the two equations will eliminate the variable y:

x + y = 20

x - y = 10

-----------

2x + 0 = 30

2x = 30

(2x)/2 = 30/2

(2/2)x = 15

(1)x = 15

x = 15

Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):

x + y = 20

15 + y = 20

15 - 15 + y = 20 - 15

0 + y = 5

y = 5

CHECK:

In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:

x + y = 20 x - y = 10

15 + 5 = 20 15 - 5 = 10

20 = 20 10 = 10

Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:

xy = 15(5)

xy = 75