Mathematics Middle School

What is the value of x?

Answers

Answer 1

Answer & Step-by-step explanation:

We can use the Pythagorean Theorem to find the value of x.

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

For a, we will use 3.

For b, we will use 4.

For c, that will be our x.

[tex]3^2+4^2=c^2\\9+16=c^2\\25=c^2\\\sqrt{25} =\sqrt{c^2}\\ 5=c[/tex]

So, the value of x is 5.

Related Questions

Bob and Sally's mortgage payment increases to $1632.00. Their roof starts to leak and they need to replace it. They budget $500 per month (replace the old student loan charge with roof expense).

Answers

Answer:

List of expenses is attached below.

Total Income = $160 + $6245 = $6405

1) Do Bob and Sally have a surplus or deficit?

As mortgage payment has increased, we replace $1580 with $1632 in the table

Replace student loans with roof expense, we replace $544 with $500 in the table.

Find Total Expenses by adding all the values from the table.

Total Expenses = $6660.17

Total Income =$6405

They have a deficit

2) By how much?

Deficit = $6660.17 - $6405 = $255.17

Deficit = $255.17

3) They decide to stop putting money in savings. How much their balance be?

Savings = 10% of income = 10% OF $6405

Savings = (10/100)· $6405 = $640.5

New total expenses = $6660.17 - $640.5

New total expenses = $6019.67

Balance = Total income - New total expenses = $6405 - $6019.67

Balance = $295.33

4) Do you agree with them removing the savings to create surplus?

Yes, they had to remove the savings to fulfill their expenditures. Otherwise, they would have been spending more than their income, which couldn't last very long

T&L - Math 7 - Volume 7.4 -19-20

Directions: Type your answer in the box below

A cube with an edge length of 8 must be filled completely. How many cubic centimeters will

be needed? Type your answer in the box

The diameter and height of a cylindrical container are shown.

Answers

Answer: You would need 512 cubic centimetres

Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.

If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.

The volume of a cube is given as follows;

V = L x W x H (and the answer is expressed as V³)

Since the length , width and height all measure 8 cm, the volume can simply be expressed as

V = L x L x L

V = L³

V = 8³

V = 512 cm³

Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.

you don't have to answer number 15. but pls answer the rest!

is 3kg equal to less than or greater than 3,000

there are more in the picture pls help ASP

BEST ANSWER GETS BRAINLESST AND FOLLOW ASP HURRY!!

Answers

Answer:

13) >

14)=

15)>

16)=

17)>

18)<

Step-by-step explanation:

how do you solve the height?

Answers

Answer:

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.

[ matrix 4&2 matrix ]*[ matrix -2&5\\ 7&-1 matrix ]

Answers

Step-by-step explanation:

[4 2] ×[-2/7 5/-1]

[4×(-2)+4×5/4×7+4×(-1) 2×(-2)+2×5/2×7+2×(-1)]

[-8+20/28+(-4) -4+10/14+(-2)]

[12/24 6/12]

How much would 1 case of each fruit cost together? Grid in tori answer as dollars.cents

Answers

Answer:

35.00

Step-by-step explanation:

4a+8p=220

2a+5p=130

if we want to add them we must multiply the 2nd equation by -2

4a+8=220

-4a-10p=-260

0=20

after plugging 20 in, the apples should cost 15

15+20=35

I’m confused :( I will mark as Brainliest and give you points

Answers

Answer:

123.5 square inches

Step-by-step explanation:

Given: To find the area of a rectangle, you have to multiply base times height.

To find the area of a triangle, you have to do base times height devided by 2.

Finding the area: Let's break up this shape into polygons. At the bottom there is a rectangle. We know that to find the area of the rectangle you have to do base times height. 13in•7in will give you 91in square for the rectangle.

Now for the triangle. If you can see, if you break the triangle in half, there are 2 right triangles. Let's look at the right one for now. Since we know that to find the area of a triangle you have to do base times height divided by 2, you do 5in•6.5in=32.5in. 32.5in divided by 2 is 16.25in square which is the area of one triangle. You might be wondering why i did 5•6.5, and that's because at the bottom of the rectangle you can see it's 13in, and 13in÷2=6.5in.

We already found the area of the rectangle and one triangle. The other triangle is equal to it so we can just do 16.25+16.25=32.5in square for both of the triangles.

Now we add it all up: 32.5+91=123.5 square inches

I need help on this.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

hopefully this helps

The area of a triangle is 30 square inches. The base of the triangle is 10
in. What is the height of the triangle? *
I will mark as Brainliest and give extra points help

Answers

Answer:

6 inches

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

30 = 1/2 (10) h

30 = 5h

Divide each side by 5

30/5 = 5h/5

6 = h

Answer:

Step-by-step explanation:

we know area of a triangle = 1/2 * base * height

1/2*10* height = 30

5* height =30

height = 30/5 = 6inches

hope it helps

im really tired and my brain isnt working right please help i need help with part b

Answers

Answer:

hello! the answer is 2.5 hours :)

Answer:

the answer is 2.5 hours

Step-by-step explanation:

Which is the constant term in the equation given in standard from 5x+3y=15

Answers

Answer:

Step-by-step explanation:

The constant is the term without the variable

5x+3y=15

15 is the constant

If f(1) = 7 and f(n) = 5(n-1) + 2, then f(4) =

Answers

Answer:

f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = ?

f4 = 5(?) + 2 = ____

914

hopefully this makes sense

At the top hat dance studio, classes cost $20 for 5/6 of an hour. What is the hourly rate

Answers

Answer:

I would say $24?

Step-by-step explanation:

20/5=4

20+4=24

This is because $20 is for 5/6 of an hour, $24 would be for the entire hour.

Answer: its 24

Step-by-step explanation:

i have confirmed!!

What is the value of 2x3+12-13

Answers

Answer:

Step-by-step explanation:

According to PEMDAS the answer is five.

2x3+12-13

6+12-13

18-13

The diagram shows a circle centre O work out the size of angle X work out the size of angle y

Answers

Answer:

x = 116° , y = 20°

Step-by-step explanation:

The angles are x = 116° & y = 20°

what is the circle theorem?

When two angles are subtended by the same arc, the angle at the centre of a circle is twice the angle at the circumference i.e ∠O=2∠A

let the Points on the circumference be A,B,C then we have two traingles namely ΔABC & ΔOBC.

Given here ∠A=58°

therefore, by the circle theorem we get ∠O=116°

Again in ΔOBC it is a isosceles triangle with its two sides equal to the radius of the circle, so ∠OBC = ∠OCB

∠OCB +∠OBC+∠BOC=180°

2 ∠OBC=180°-116°

2 ∠OBC=64°

∠OBC=32°

Again, in ΔABC ∠C = 32° + 38° = 70° & ∠B= y +32°

therefore, y + 32° + 70° + 58° = 180°

y= 20°

Hence, the angles are x = 116° & y = 20°

Learn more about the circle theorem:

https://brainly.com/question/19906313

#SPJ5

f(x) = x^2 – (x + 3), what is the value of f(8)

Answers

Answer:

Step-by-step explanation:

f(x) = x^2 – (x + 3)

Let x = 8

f(8) = 8^2 – (8 + 3)

=64 - (11)

=53

what’s 38,000 * 16 please help me

Answers

Answer:

608,000

Step-by-step explanation:

The answer for that is 608,000

b) A fruit seller bought some mangoes for Rs 500. He sold them at 10% loss. If he wants to make a profit of 12.5% without increasing the selling price, by how much should the cost price of the mangoes be reduced?

Answers

Answer:

New CP = Rs 387.5

Step-by-step explanation:

Cost Price = Rs. 500

Loss %age = 10% of 500

So, Loss = Rs 50

Finding the selling price:

Selling Price = CP - Loss

SP = 500 - 50

SP = Rs 450

Now, The fruit seller wants to gain a profit of 12.5% without changing the selling Price:

Firstly, Let's talk about the Profit :

Profit %age = 12.5% of 500

Profit = 12.5 * 5

Profit = Rs 62.5

He wants to gain a profit of Rs 62.5

So, The cost Price

The cost price would be reduced by Rs 62.5

New CP = 450 - 62.5

New CP = Rs 387.5

HELP PLEASE!!
Given: Isosceles triangle ABC with vertex angle A, equal sides AB and AC, and an angle bisector, BD.

side = 1
angle = 36

BC has a length of 1. To the nearest tenth of a unit, find the lengths of the missing sides.

BD = __ units

AD = __ units

AB = __ units

AC = __ units

Answers

Answer:

BD = 1 unit

AD = 1 unit

AB = 1.6 units

AC = 1.6 units

Step-by-step explanation:

In the picture attached, the triangle ABC is shown.

Given that triangle ABC is isosceles, then ∠B = ∠C

∠A + ∠B + ∠C = 180°

36° + 2∠B = 180°

∠B = (180° - 36°)/2

∠B = ∠C = 72°

From Law of Sines:

sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB

(Remember that BC is 1 unit long)

AB = AC = sin(72°)/sin(36°) = 1.6

In triangle ABD, ∠B = 72°/2 = 36°, then:

∠A + ∠B + ∠D = 180°

36° + 36° + ∠D = 180°

∠D = 180° - 36° - 36° = 108°

From Law of Sines:

sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB

(now ∠A = ∠B)

BD = AD = sin(∠A)*AB/sin(∠D)

BD = AD = sin(36°)*1.6/sin(108°) = 1

Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a

Answers

ANSWER : it is a Rhombus!

Answer:

Rhombus

I hope I helped!!!

Please make me brainliest

\frac{h^{2}-1 }{h+3} when h=5

Answers

Answer:

Step-by-step explanation:

[tex]\frac{h^{2}-1 }{h+3}[/tex]=

[tex]\frac{5^{2}-1 }{5+3}[/tex]=

[tex]\frac{25-1}{8}[/tex]=

[tex]\frac{24}{8}[/tex]=

Using the following image, solve for x

Answers

Step-by-step explanation:

Vertical angles are always equal

4+6x= 70°

6x =70-4 = 66°

x= 11°

We know the angles have a vertical angle and we know that vertices angle are Intercept lines.

Let's set up the equation.

[tex]4+6x=70[/tex]

We will subtract 4 from both sides and get

[tex]6x=66[/tex]

Divide by 6 on both sides

[tex]x=11[/tex]

Please help with this

Answers

Answer:

C is correct

Step-by-step explanation:

1 and 2 add up to 90,

so does 3 and 4

Make x the subject:

y = 6x-7 / 3x-8

Answers

Answer:

I. x=y-7

Step-by-step explanation:

y=6x-7

6x-7=y

6x=y-7

6. 6

x=y-7

Answer:

x = [tex]\frac{8y-7}{3y-6}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{6x-7}{3x-8}[/tex] ( multiply both sides by 3x - 8 )

y(3x - 8) = 6x - 7 ← distribute left side

3xy - 8y = 6x - 7 ( subtract 6x from both sides )

3xy - 6x - 8y = - 7 ( add 8y to both sides )

3xy - 6x = 8y - 7 ← factor out x from each term on the left

x(3y - 6) = 8y - 7 ← divide both sides by (3y - 6)

x = [tex]\frac{8y-7}{3y-6}[/tex]

The larger triangle is the image of the smaller triangle after a dilation. The center of the dilation is (−2,−2). Two triangles are graphed on a coordinate plane. The horizontal x-axis ranges from negative 10 to 10 in increments of 1. The vertical y-axis ranges from negative 10 to 10 in increments of 1. A dashed triangle has vertices at begin ordered pair negative 2 comma 7 end ordered pair, begin ordered pair 7 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. A solid triangle has vertices at begin ordered pair negative 2 comma negative 5 end ordered pair, begin ordered pair negative 5 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. What is the scale factor used to create the dilation? Enter your answer in the box.

Answers

Answer:

CORRECT answer is -3

Step-by-step explanation:

What is the value of x in the equation -2.4x = 8.4?
-20.16
-3.5
3.5
20.16

Answers