Mrs. Freeman is trying to determine if her new desk will fit through her classroom door. Her desk of her is 59 inches wide. She knows that the height of the door is 80 inches and the diagonal measure of the door is 100 inches. Determine the width of her door de ella and whether or not her new desk will fit. Justify your conclusion.

Answers

Answer 1

Answer: x = 60

Step-by-step explanation:

the equation is a^2 + b^2 = c^2.

If you draw out the problem, you plug in the information into the formula, so it would be...

x^2 + 80^2 = 100^2.

80^2 = 6,400 and 100^2 = 10,000.

x^2 + 6,400 = 10,000.

You subtract 6,400 from itself and 10,000 and then you get...

x^2 = 3,600.

You square both of those and your final answer will be x = 60.


Related Questions

Use the table to work out the values of a, b, c, and d.
2
y = 2x – 2
-3
a
-2
-6
-1
b
0
-2.
1
a
d

Answers

Answer:

aaaaaaaaa x=3-2y

Answer:
A: -8
B: -4
C: 0
D: 2

Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation. Identify Ericka’s mistake.

Answers

Ericka’s mistake is in ''Step 2.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation.

Now,

Since, Ericka was solving an exponential equation.

Clearly, The equation is,

⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴

Step 1;

⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴

⇒ 5 ⁹ˣ⁺⁶ = 5 ² ⁽³ˣ ⁻ ²⁴⁾

Step 2;

⇒ 9x + 6 = 2 (3x - 24)

So, Ericka’s mistake is in Step 2.

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How do I solve x-5(x-1=x-(2 x-3)

Answers

Answer:

x = 2/3

Step-by-step explanation:

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

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

-5x + 5 = -2x + 3

-3x = -2

x = 2/3

PLS HELP DO TOMORROW!!!

Answers

Answer: 3 grams

Step-by-step explanation:

I just looked up the answer lol- I tried though, (Also I can't guarantee if it's right... But it probably is).

Combine the like terms
2g + 15 + 3g + g + g- 18

Answers

Answer:

7g - 3

Step-by-step explanation:

2g + 15 + 3g + g + g - 18

2g + 3g + g + g + 15 - 18

7g - 3

Winton wants to find the volume of a cube. He uses the formula for volume of a cube V = s to the power of 3 where s is the length of one side of the cube. if s = 0.5 centimeter, what is the volume of the cube?

Answers

Answer:

Answer: 0.125 cm^3

The value of x is -1/4 Order these expressions from least to greatest:
X
1-x
x-1
-1÷x

Answers

Answer:

Step-by-step explanation:

-1 divided by x

1 - x

X - 1

How do you solve for 4=2+W over 2

Need to know immediately

Answers

Solving for W in the equation 4 = (2 + W) / 2 gives W = 6

How to solve for W

Using the equation 4 = (2 + W) / 2, W is solved by making it the subject of the formula and this is means placing W alone at the left hand side of the equation'

This is achieved by the following procedure

clearing the fraction

4 = (2 + W) / 2,

8 = 2 + W

rearranging the equation

W + 2 = 8

subtracting 2 from both sides of the equation

W + 2 - 2 = 8 - 2

since 2 - 2 = 0 we have

W = 6

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Hassan plans to repaint some classroom bookcases. He has 1010 gallons of paint. All of the bookcases are the same size and each requires \tfrac{7}{8}
8
7

gallon of paint. What is the maximum number of complete bookcases he can paint?

Answers

Hassan can paint maximum 11 bookcases with 10 gallons of paint.

What are Fractions?

A fraction represents a numerical value, which defines the parts of a whole.

Generally, the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.

The basics of fractions explain the top and bottom numbers of a fraction.

Suppose a number has to be divided into four parts, then it is represented as x/4. So the fraction here, x/4, defines 1/4th of the number x. Hence, 1/4 is the fraction here.

Given,

Hassan has 10 gallons of paints.

1 bookcase requires 7/8 gallons of paint

Let Hassan paints x bookcases.

According to the question

7/8x = 10

7x = 80

x = 80/7

x = 11.43

But no. of bookcases should be in whole.

Number of bookcases painted with 10 gallons of paint = 11.

Hence, Maximum 11 bookcases can be painted by Hassan with 10 gallons of paint

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Copy and complete each of the Diamond Problems below.
The pattern used in the Diamond Problems is shown at right.
b.
a.
0.32
12
"1
J
c.
9
2
d.
234
31
Core Connections, C
"
J

Answers

The provided schematic must be followed in order to answer these diamond problems. You must multiply the values on the left (x) and right (y) cells in order to find the value that belongs in the top cell.

we have,

For Diamond Problems a

x+y=1.2

xy=.32

so value of x= .8 and y = .4.

for Diamond Problems b

x= 11

x+y=25.

so y= 14 and xy=11*14=154.

for Diamond Problems c

x=-7

y=-9

so x+y=-16 and xy= 63.

for Diamond Problems d

x+y=31

xy=234

x=13 and y=18

Is figuring out puzzles a skill?

Because puzzles engage both the left and right sides of your brain, solving them aids in the development of your problem-solving abilities. Solving puzzles with others is a terrific method to improve your communication and cooperation skills in addition to your problem-solving and critical thinking abilities.

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Is an isosceles triangle always 60 degrees?

Answers

No, an isosceles triangle is not always 60 degrees. The angles of an isosceles triangle must be equal, but the overall measure of the angles can be any value greater than 0 degrees.

A triangle having two equal sides and two equal angles is known as an isosceles triangle.. The equal sides create two equal angles that are opposite each other. The two equal angles are the only two angles that define an isosceles triangle. There is no specific measure for the angles of an isosceles triangle, so the angles do not necessarily have to be 60 degrees and The angles can be any value greater than 0 degrees. The two equal angles, however, must be equal in measure to make the triangle an isosceles triangle. Therefore, an isosceles triangle is not always 60 degrees.

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Assuming that birthdays are distributed equally throughout the week, what is the probability that two people that have never met passing each other on the street were both born on a Friday is
1/7 2/7 1/49 2/49 4/49

Answers

Probability of Two people was born on Friday = 1/49

What is the definition of probability?

Possibility of happening an event is called probability. It is given by the ratio of favorable outcome to the total possible outcome. Probability is different kinds such as independent probability, dependent probability, conditional probability and so on.

What is the probability that two people were born on a Friday?

Assume that birthdays are equally distributed throughout the week.

probability of one people having birthday on Friday = 1/ 7

probability of another people has birthday on Friday = 1/7

probability of two people was born on Friday = 1/7× 1/7 = 1/ 49

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Another one (last one!) it’s a test! Please no likes or something other than an answer!

Answers

Answer:

2, 6

Step-by-step explanation:

x always go first

I think it’s 6and 2 and 6 and 10

ILL BRAINLIEST YOU AND GIVE YOU 10 extra points

Answers

Answer:

A

Step-by-step explanation:

Side A which is 4 is an angle of 41.40

Side B which is 5 is an angle of 55.7

Side C which is 6 is an angle of 82.8

Line g has an equation of y= 1/3x–1. Parallel to line g is line h, which passes through the point (10,2). What is the equation of line h?

Answers

The formula we will use for this problem is Y-Y1=M(X-X1) and the form equation g is in right now is y=mx-b. We are going to use the point (10,2) and the slope 1/3: 10=x1 2=y1 and 1/3=M. Plug the number in the formula(Y-Y1=M(X-X1)) which would be y-2=1/3(x-10) do distributive property
Y-2=1/3x-10/3 move -2 to the other side by adding both sides by 2
Y=1/3x-10/3+2 add like terms
Then Y=1/3x-4/3 is your answer

For a project in his Geometry class, Elijah uses a mirror on the ground to measure the height of his school building. He walks a distance of 8. 25 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0. 8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1. 45 meters. How tall is the school? Round your answer to the nearest hundredth of a meter

Answers

The school is 24.63 meters tall.

To calculate the height of the school, Elijah can use the concept of similar triangles. Since the mirror is on the ground and parallel to it, the angle between the ground and the line from his eyes to the mirror is 90 degrees. The angle between the ground and the line from his eyes to the top of the school is also 90 degrees. The triangle formed by these lines and the line from his eyes to the top of the school is similar to the triangle formed by these lines and the line from his eyes to the mirror.

Using the similar triangles, the ratio of the height of the school to the distance from Elijah's eyes to the mirror is equal to the ratio of the distance from Elijah's eyes to the ground to the distance from the mirror to the school.

Therefore

(Height of school) / (Distance from eyes to mirror) = (Distance from eyes to ground) / (Distance from mirror to school)

Plug in the given values:

(Height of school) / 0.8 = 1.45 / (8.25 - 0.8)

Solving for the height of the school:

Height of school = (0.8 * 1.45) / (8.25 - 0.8)

= 1.16 / 7.45

= 0.1562

= 24.63 meters

The school is 24.63 meters tall.

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a cylinder has a volume of 400 ft if the height of the cylinder is 25 ft what is the radius of the cylinder

Answers

Answer:

r = 2.25733059

round to whatever place your teacher wants.

Step-by-step explanation:

The formula for volume of a cylinder is

V=πr^2h

Plug in what we know

400 = πr^2(25)

divide both sides by 25

16 = π r^2

divide both sides by π (= 3.14)

r^2 = 5.0955414

then take the square root of both sides

r = 2.25733059

round to whatever place your teacher wants.

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

Kind of wishing the volume was 400π, lol. Would be easier to solve.

LMK if you have questions.

HELP ME PLEASE!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

No he's going to have to try this one again.

The y intercept is found by making x = 0

The original equation becomes

2y - 120 = 0             Add 120 to both sides

2y = 120                  Divide by 2

y = 120/2

y = 60

The y intercept is 60

Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.

-4096
2048
4096
-2048

Answers

Use formula: an = a1 * r^(n-1)
a1 = 2, r = -2
a12 = 2 * -2^(12-1)
a12 = 2 * -2^11
a12 = 2 * -2048
a12 = -4096

Solution: -4096

Answer: -4096

Step-by-step explanation:

I just did the lesson

please help, if you get it right i'll mark you brainliest!!!!!

Answers

Answer:

Step-by-step explanation:

Back

Area = L * W

L = 20

W = 8

Area = 20 * 8

Area =                                                                       160

2 Triangles

Area = 1/2 one smaller leg*other smaller leg

one smaller leg = 8

The other one = 15

Area = 1/2 8 * 15  =     60

But there are 2 of them 2 * 60 =                            120

Base

L =  20

W = 15

Area = L * W

Area = 20*15 =                                                        300

Front (slanted) Face

L = 20

W = 17

Area = L * W

Area =  20*17                                                         340

Total                                                                        920

If i add (2x-3y=10) and (5x+3y=-4) what is the result

Answers

Answer:

7x = 6

Step-by-step explanation:

  2x - 3y = 10

+ 5x + 3y = -4

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

  7x         = 6

What is the name of 3 side?

Answers

The three sides of a triangle are referred to as the base, the height, and the hypotenuse.

The base and height of a triangle can be used to calculate the area of the triangle using the formula:

Area = (Base x Height) / 2

To calculate the hypotenuse of a triangle, the Pythagorean Theorem is used. The theorem states that the sum of the squares of the lengths of the two sides of a right triangle is equal to the square of the length of the hypotenuse.

The formula for the Pythagorean Theorem is:

a2 + b2 = c2

where a and b are the two sides of the triangle and c is the hypotenuse.

To calculate the hypotenuse of a triangle, the following steps are taken:

1. Measure the length of each side of the triangle.

2. Square the length of each side (multiply the length by itself).

3. Add the two values together.

4. Find the square root of the sum. This is the length of the hypotenuse.

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Find the y-value when x = 0 in the equation y = 2x + 3.

Answers

Answer:

Step-by-step explanation:

Y=2x+3

Y=2(0)+3

Y=3

A swimming pool is a shape of a rectangular prism. The pool is 10 feet deep. It length is 3 times it's width. The volume of the pool is 27000 cubic feet. Find the length and the width of the pool.

Answers

Answer:

Step-by-step explanation:

V = l * w * h

27000ft3 = (2w) * w * 10ft

27000ft3 = 2w^2 * 10ft

2700 = 2w^2

1350 = w^2

W = 36.74

please help me find the answer

Answers

Answer:

use calculator

Step-by-step explanation:

Answer:

-21 i think

Step-by-step explanation:

Between -10 and -16 has to be -13, because -13 is three apart from -10, and three apart from -16. That means that the numbers decrease by 3. So, the number line would be:

-10

-13

-16

-19

-21

Hope this helps!

is this a right triangle 8,12,15

Answers

Answer:

I don't think so

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

If you insert your lengths, [tex]8^{2}[/tex]+[tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]

Can u please help...................

Answers

Answer:

  (-2, 2)

Step-by-step explanation:

You want the circumcenter of the triangle with vertices A(2, -3), B(2, 7), and C(-6, -3).

Circumcenter

The circumcenter is the center of  the circle that circumscribes the triangle. Here, the triangle is a right triangle, so the circumcenter is the midpoint of the hypotenuse.

Midpoint

The midpoint of segment BC is the average of the coordinates of B and C:

  X = (B +C)/2 = ((2, 7) +(-6, -3))/2 = (2 -6, 7 -3)/2 = (-4, 4)/2

  X = (-2, 2)

The circumcenter is (-2, 2).

__

Additional comment

The right angle subtends an arc of twice its measure, 180°, so the circumscribed triangle occupies a semicircle, and the hypotenuse is a diameter. That puts the center of the circle at the midpoint of the hypotenuse.

Reduce 22/154
to its lowest form.

Answers

Answer: 1/7

Step-by-step explanation: Find the GCD (Greatest Common Denominator) of the numerator and denominator. The GCD of 22 and 154 is 22. Divide both the numerator and denominator by the GCD = 22 ÷ 22; 154 ÷ 22. Reduced fraction: 1/7. Therefore, 22/154 simplified to lowest terms is 1/7.

In a certain school district, students from grade 6 through grade 12 can participate in a school-sponsored community service activity. The following bar chart shows the relative frequencies of students from each grade who participate in the community service activity.

Answers

According to the given bar chart options A, B and C are the correct.

How do you find relative frequency?

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

Given that, the bar chart shows the relative frequencies of students from grades 6 to 12 who participate in the community service activity.

Relative Frequency = Subgroup frequency/ Total frequency.

Relative Frequency = f/ n.

From the given bar chart we can see that

The maximum number of participating students was in grade 9.

The number of participating students in grade 6 was equal to the number of participating students in grade 7.

The relative frequency of all participating students in grades 6 and 7 combined was 0.60.  

Therefore, options A, B and C are the correct answers.

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Complete question is in attachment:

What are the 3 ways to find x-intercept?

Answers

The three ways of finding the x-intercept are:

Using a Graph of a Line.Using the Equation of the Line.Using the Quadratic Formula.

By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.

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