2)
Apply the Pythagorean Theorem to determine the correct statements.

A) If the sides of a right triangle are of length 8 and 15, its hypotenuse is 17.
B) If the sides of a right triangle are of length 7 and 24, its hypotenuse is 35.
C) If the sides of a right triangle are of length 9 and 40, its hypotenuse is 41.
D) If the sides of a right triangle are of length 21 and 28, its hypotenuse is 36.
E) If the sides of a right triangle are of length 12 and 16, its hypotenuse is 20.

Given:

12cm to 2.5mm

To find:

The simplified for of given statement.

Solution:

We know that,

1 cm = 10 mm

12 cm =120mm

We have,

12cm to 2.5mm

It can be written as

[tex]\dfrac{12\ cm}{2.5\ mm}=\dfrac{120\ mm}{2.5 mm}[/tex]

[tex]\dfrac{12\ cm}{2.5\ mm}=\dfrac{120}{2.5}[/tex]

[tex]\dfrac{12\ cm}{2.5\ mm}=48[/tex]

Therefore, the value of 12 cm to 2.5 mm is 48 or 48:1.

Answer:

c. g is the variable

Step-by-step explanation:

Answer:

The only true answer is that g is the variable

C

Answer:

Equation: 3x + 7 = 16

Unknown Number: 3

Step-by-step explanation:

You must first develop an equation representing this problem:

3x + 7 = 16

Then, you can solve for the unknown number.

3x + 7 = 16

3x = 9

x = 3

Answer:

find the cordinates of each letter or number then find witch is greater or less than when your answering it

Step-by-step explanation:

Answer:

8 58/61.

Step-by-step explanation:

546/61 = 8 remainder 58

so it's 8 58/61.

Answer:

a) 26; b) 5a+10;

Step-by-step explanation:

f(8)=3(8)+2

    =24+2

    =26

g(a+2)=5(a+2)

         =5a+10

Answer:  1. у %3 2х

Step-by-step explanation: Find the distance between (0, 0) and (-3, 4) pair of points

Answer:

30, 60

Step-by-step explanation:

The sum of a triangles angles should be 180.

Subtract 90 because it's a right triangle.

180 - 90 = 90

Now we know the sum of the other angles should be 90.

x + 2x = 90

Solve for x.

3x = 90

x = 30

Now you substitute 30 for x.

(30), 2(30)

30, 60

Given:

The graphs of two parabolas.

To find:

The equation of the quadratic function with given graphs.

Solution:

(a)

The factor form of a parabola is

[tex]y=a(x-b)(x-c)[/tex]

Where, a is a constant, b and c are x-intercepts.

From the graph (a) it is clear that the graph intersect the x-axis at -1 and 3. So, b=-1 and c=3.

[tex]y=a(x-(-1))(x-3)[/tex]

[tex]y=a(x+1)(x-3)[/tex]            ...(i)

Put x=0 and y=3 because the y-intercept is (0,3).

[tex]3=a(0+1)(0-3)[/tex]

[tex]3=-3a[/tex]

[tex]\dfrac{3}{-3}=a[/tex]

[tex]-1=a[/tex]

Putting a=-1 in (i), we get

[tex]y=-1(x+1)(x-3)[/tex]

[tex]y=-(x+1)(x-3)[/tex]

Therefore, the equation of the parabola is [tex]y=-(x+1)(x-3)[/tex].

(b)

The vertex form of a parabola is

[tex]y=a(x-h)^2+k[/tex]

Where, a is a constant and (h,k) is vertex.

From the the graph (b), it is clear that the vertex of the of the parabola is at point (2,0) and y-axis is (0,8). So, h=2, k=0.

[tex]y=a(x-2)^2+0[/tex]

[tex]y=a(x-2)^2[/tex]            ...(ii)

Put x=0 and y=8 because the y-intercept is (0,8).

[tex]8=a(0-2)^2[/tex]

[tex]8=4a[/tex]

[tex]\dfrac{8}{4}=a[/tex]

[tex]2=a[/tex]

Putting a=2 in (ii), we get

[tex]y=2(x-2)^2[/tex]

Therefore, the equation of the parabola is [tex]y=2(x-2)^2[/tex].

Answer:

x(6x^2+1)

Step-by-step explanation:

To factor an equation, we have to take out the greatest common factor of both terms. In this case, that term would be x. Then we can out x outside of the parantheses and your distributive property to rewrite this equation.

Complete question :

Mr. Hopkins has a 1 meter wire he is using to make clocks. Each fourth meter is marked off with 5 smaller equal lengths. If Mr. Hopkins bends the wire at ¾ meter, what fraction of the marks is that?

Answer:

15 th ; 15/20

Step-by-step explanation:

Length of wire = 1 m

Number of fourth length possible = 1 ÷ 1/4 = 1 * 4/1 = 4

Each fourth length divided into 5 equal sizes :

Hence. Total number of equal spaced division :

5 * 4 = 20

If wire is bent at 3/4 meter :

Fraction of the mark

3/ 4 of 20

3/4 * 20

(3 * 20) / 4

60 / 4

= 15th

= 15/ 20

Answer:

55%

Step-by-step explanation:

11/20 = x/100

cross multiply

Answer:

55%

Now we can see that our fraction is 55/100, which means that 11/20 as a percentage is 55%.

Step-by-step explanation:

Answer:

The reason why the area is 2a+3a+4a is because ax2=2a ax3=3a and ax4=4a know we know each segment so after that you add the segments to get the are equation which is 2a+3a+4a.

The reason why the area is also (2+3+4)a is because you just factored the orginial equation and if you use the distributive property they equal the same.

Step-by-step explanation:

If this answer helped you then please consider liking this and marking it as brainliest :)

Answer: 0.06

because 100 has two zeros, the move the number of zeros to the left so the answer is 0.06

Answer:

The correct answer is x = -12.

♡ The Question ♡

4x - 2 (x + 1) = 3x + 10 ​  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

x = -12

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

4x - 2 (x + 1) = 3x + 10

2x - 2 = 3x + 10

2x - 2 + 2 = 3x + 10 + 2

2x - 3x = 3x + 12 - 3x

-x = 12

-x/-1 = 12/-1

x = -12

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No tips provided!

Answer:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

4 months = 1/3 years

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]

$120,000 in 1 year

5years, 120,000×5 = $600,000

Answer:

here u go

Step-by-step explanation:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

Answer:

try 6 because when u put them in order than u are by a 8 and a 7

Step-by-step explanation:

please tell me if i right

Step-by-step explanation:

Given n = 4

2n = 2* 4= 8

n + 2 = 4 + 2 = 6

3(n + 4) = 3( 4 + 4) = 3 * 8 = 24

Hope it will help :)

Answer:

SA: 664 in²

LA: it’s supposed to be 1040cm???

Step-by-step explanation:

SA: find the area of all sides of the prism first (I suppose it’s rectangular?)

80+80+112+112+140+140 = 664

LA: the lateral area formula is (perimeter of base)*height...

perimeter of base = (6+6+14+14) = 40

40 * 26 = 1040

I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)

Answer:

1,092

Step-by-step explanation:

Answer:

The equation required to find the volume of concrete is:

L X W X H.

Step-by-step explanation:

L = Lenght

W = Width

H = Height

To calculate the required volume for concrete, you'd need to multiply the measures of all the dimensions together such as the lenght and the breath (which gives you the Area) and the thickness or height of the staircase.

If the calculation is being expressed in Feet, the answer will also be expressed as Volume of concrete in Cubic feet.

Cheers

Answer: 175

Step-by-step explanation:

To determine the actual distance using the map scale of 1 inch = 50 miles, you would multiply the number of inches shown on the map by 50.

For this problem:  3   1/2 •  50 =   7/2 • 50 =  175 miles

The two cities are 175 miles apart.

Answer:

4√5

Step-by-step explanation:

if this isnt the answer u needed lmk!!

awnscer is 6.72 sorry could not find a diagram

Answer:

The answer is 6.72

Step-by-step explanation:

what you can do is 42 x 16 (you can add the decimal if you want) btu after your done solving it you should get 672 and if your doing decimals just count how many behind the decimal and count it and you will get 6.72! hope this helps.

Answer:

Step-by-step explanation:

The greatest common factor they share is 4.

[tex]4(x^3+8)[/tex]

Answer:

112500000???

Step-by-step explanation: