What is the solution to the inequality below?
√x>5
O A. No solutions
O B. O< x< 25
O C. x> 25
O D. x>10

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:

80 degree is the measure of third angle

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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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.

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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:

48 degrees

Step-by-step explanation:

inscribed angle is always equal to the measure of the arc

Step-by-step explanation:

3x+2y=2------------1

-3x+5y=5-----------2

adding 1 and 2 we get

7y=7

y=1

and from (1),we get

3x+2×1=2

3x=0

x=0 is the required value of x.

We want to solve the given system of equations by using the addition method.

The solution is x = 0.

So we start with the system of equations:

3x + 2y = 2

-3x + 5y = 5

We want to use the addition method, this means that we just add these two equations (left side with left side and right side with right side, in this case) we will get:

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

Now we simplify this to get:

7y = 7

Solving for y, we get:

y = 7/7 = 1

Now that we know the value of y, we can replace it on one of the equations and then find the value of x, let's use the first equation:

3x + 2*1  = 2

3*x = 2 - 2 = 0

x = 0

Then we can conclude that the value of x is 0.

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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:

$ 7

Step-by-step explanation:

To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.

$7.23 rounded to the nearest dollar = $7

Answer:

21.63 m

Step-by-step explanation:

Given :

Hypotenus = 42 m

Base = 36 m

Hence, using Pythagoras rule :

Opposite = √hypotenus² - Adjacent²

Height = √42²-36²

Height = √1764 - 1296

Height = √468

= 21.63 m

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:

23,030

Step-by-step explanation:

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

It would be 98 ft,

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

Answer:

area = b+h / lengthxwidth

Step-by-step explanation:

Answer:

x = 1/4

Step-by-step explanation:

-7x - (-5-x) = -9(2x-1) -1

-7x + 5 + x = -18x + 9 - 1

combine like terms:

-6x + 5 = -18x + 8

add 18x to each side of the equation:

12x + 5 = 8

subtract 5 from each side:

12x = 3

divide both sides by 12:

x = 3/12 = 1/4

Answer:

sorreyyyy mateeeeee dont know the answer

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 :)

Answer:

Your answer is C!

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:

1) Yes

2)No

3)Yes

Step-by-step explanation:

Use pythagoreans theorem for the first two side lengths and see if it's equal to the third!

Based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).

To find given lengths form a right triangle or not.

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

c² = a² + b².

c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.

Thus, find out which set of lengths will form a right triangle:

9, 40, 41 will form a right triangle, because:

41² = 40² + 9²

1,681 = 1,681

Also, the rest set of lengths will not form a right triangle.

Thus, based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).

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Answer:

B. 37.5 sq in

Step-by-step explanation:

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Answer:

2

Step-by-step explanation:

If you multiply it by 0.10 that is 10 percent and you get 22 which is 2 more than 20

Answer:

Before Tax Price: $20.00

Sale Tax: 10.00% or $2.00

After Tax Price: $22.00

Step-by-step explanation:

Answer:

D I just did this

Answer:

-131

Step-by-step explanation:

Use -5 in place of x

f(x) = –2x^3+ 3x – 6

f(x) = -2*-5^3+3*5-6

the answer is on the page it is a screenshot explaining how to do it

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

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Answer:

if two parallel lines are cut by a transversal, then alternate interior angles are congruent