Use the Pythagorean theorem to find the value of b²

Answer:

Last one: 3(x) - 3(9)

3(x - 9) = 3x - 27

Answer:

3(x)-3(9)

Step-by-step explanation:

Multiply each factor in the parenthesis for the external number

Answer:

53712.4

Explanation:

[tex]\sf\rightarrow 53.7124\:x\:10^3[/tex]

[tex]\sf\rightarrow 53.7124\:x\:1000[/tex]

[tex]\sf\rightarrow 53712.4[/tex]

Answer:

53712.4

Step-by-step explanation:

To represent this expression as a number, we need to simplify the expression to obtain a specific number (solution). The first step would be to simplify the exponent in the expression.

Simplifying the exponent:

⇒ 53.7124 x 10^{3}

⇒ 53.7124 x 10 x 10 x 10

Note: Each 10 will shift the decimal 1 place to the right.

⇒ 537.124 x 10 x 10

⇒ 5371.24 x 10

⇒ 53712.4

Answer:

the cable is  2\sqrt{41} meters long

Step-by-step explanation:

after drawing out the lengths given, you can see that you need to find the hypotenuse of a triangle with legs 10 and 8 meters long.

10^2+8^2=164

sqrt of 164 is [tex]2\sqrt{41}[/tex]

Answer:

[tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)

Step-by-step explanation:

This can be modeled as a right triangle, with:

The length of the cable is the hypotenuse.

Using Pythagoras' Theorem: [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

[tex]\implies 8^2+10^2=c^2[/tex]

[tex]\implies 164=c^2[/tex]

[tex]\implies c=\sqrt{164}[/tex]

[tex]\implies c=\sqrt{4 \cdot 41}[/tex]

[tex]\implies c=\sqrt{4} \sqrt{41}[/tex]

[tex]\implies c=2\sqrt{41}\: \sf m[/tex]

Therefore, the length of the cable is [tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)

Answer:

$3175

Step-by-step explanation:

Substitute the equation with the numbers.

Interest = P x R x T

Interest = 2500 x 0.045 x 6

I = 675

Add the interest amount with the original amount.

675 + 2500 = 3175

I hope this helps and please mark me as brainliest!

Step-by-step explanation:

 
675 + 2500 = $3175

Answer to the question:

$3175

His account balance at the end of 6 years is $3175.

I hope this is helpful to you!

Answer:

738 cubic inches

Step-by-step explanation:

V=B*H

B=base area

H is height

82*9=738

The volume of the Prism is 738 cubic inches.

Prism is "3 dimensional shape with two identical shapes facing each other".

According to the question,

The base of prism (b) = 82 square inches.

The height of  prism (h) = 9 inches

Formula for Volume of prism = base of the prism × height of the prism

= 82 × 9

= 738 cubic inches.

Hence, the volume of the Prism is  738 cubic inches

Learn more about Prism here

https://brainly.com/question/22689647

#SPJ2

Answer:

Let u = √x which gives u2= x and rewrite the given equation in terms of u

u = 3 - u 2 / 4

Multiply all terms by 4, simplify and write the above quadratic in standard form and solve it for u.

u 2 + 4 u - 12 = 0

Two solutions: u = - 6 and u = 2

Use the substitution used above u = √x to solve for x.

u = - 6 = √x has no solution

u = 2 = √x has solution x = 4

Below is shown the graph of the right side of the given equation when written with its right side equal to zero. The x intercept of the graph is the graphical solution to the equation as shown below.

Step-by-step explanation:

Answer: x = 4

Step-by-step explanation:

    Given:

√x = 3 - (1 / 4)x

    Rewrite:

[tex]\displaystyle \sqrt{x} = 3 - \frac{1}{4}x[/tex]

    Square both sides:

[tex]\displaystyle (\sqrt{x} )^{2} = (3 - \frac{1}{4} x)^{2}[/tex]

[tex]\displaystyle x= \frac{1}{16}x^{2} -\frac{3}{2} +9[/tex]

    Set the equation equal to 0:

[tex]\displaystyle \frac{-1}{16}x^{2} +\frac{5}{2} -9=0[/tex]

    Use the quadratic formula:

[tex]\displaystyle x=\frac{-b\sqrt{b^{2} -4ac} }{2a}[/tex]

[tex]\displaystyle x=\frac{-(\frac{5}{2})\sqrt{(\frac{5}{2})^{2} -4(\frac{-1}{16} )(-9)} }{2(\frac{-1}{16} )}[/tex]

x = 4, 36

    Plugging back into equation shows us only one answer works,

x = 4

7 is A

8 is B

9 is A

10 is C

Answer: (1/2, -1)

Step-by-step explanation: The coordinates of point S can be found using the midpoint formula for the hypotenuse RT, since S is the midpoint of RT. The midpoint formula is:

Midpoint of RT = ( (x1 + x2)/2 , (y1 + y2)/2 )

Using the coordinates of R and T, we get:

Midpoint of RT = ( (-1 + 2)/2 , (1 - 3)/2 )

= (1/2, -1)

Therefore, the location of point S is (1/2, -1).

Answer:

4

Step-by-step explanation:

6 × 2/3 = 6/1 × 2/3 = 12/3 = 4

Answer:

2*2=4

Step-by-step explanation:

So 4 is the correct answer.

Hope this helps.

Answer:

12

Step-by-step explanation:

1:3

1×4:3×4

4:12

Thus, X=12

Answer:

4 1/4

Step-by-step explanation:

5x3/4=15/4=4 1/4

Answer:

4 1/4

5x3/4=

15/4=

4 1/4

Answer:

424 ft and 3 inches

Step-by-step explanation:

To calculate the diagonal of a square, multiply the length of the side by the square root of 2 --> d = a√2

a² + a² = diagonal²

diagonal = √(a² + a²) = √(2 x a²) which simplifies to diagonal = a√2

If area is given --> d = √(2*area)

Knowing square perimeter --> d = (perimeter/4)*√2

Answer:

$2.4,

$7.68

Step-by-step explanation:

0.75x3.2=2.4

You increase by 2.2, when NOW you have 1. 1+2.2=3.2

The cost now is 2.4

2.4x3.2=7.68

Answer:

$2.4

$7.68

Step-by-step explanation:

0.75x3.2=2.4

You increase by 2.2, when NOW you have 1. 1+2.2=3.2

The cost now is 2.4

2.4x3.2=7.68

Answer:

[(pq,dc) (rs,ab)(ad,rq)(bc,sq)corosponding sides]

Answer:

corresponding sides

AD and RQ

AB and PQ

BC and SP

DC and PQ

Answer:

I would say high. The data sets are completely identical besides column 17

Answer:

A: <5. 5 Matches <7. So whatever angle measure <5 is, that is what <7 is.

b: (4(<6)+2)

c: x=<45

Step-by-step explanation:

C:180/4 = 45

Answer:

Step-by-step explanation:

(a)<7 is 66 degrees, because <7 and <5 are vertical angles.

(b) (4x + 2) + 66 = 180

(c) (4x + 2) + 66 = 180

4x + 2 = 114

4x = 112

x = 28

Answer:

A = picture attached

B = 51 in²

Step-by-step explanation:

The picture attached is the answer for part A. You use the dimensions you already know from the first picture to fill in the net of the slice of pie.

Area of the triangle = 1/2 (base × height)

A = 1/2 (4 × 6) = 1/2 (24) = 12

The area of the triangle is 12. The top is a triangle, but the bottom is also a triangle with the same area. Therefore, the area of the two triangles combined is 24 in². Next, we have to find the area of the rectangle at the sides of the pie.

Area of rectangle = length × width

A = 5 × 2.5 = 12.5

Since there are two rectangles with the same area on both sides of the pie, we can double it and get 25 in². We still have one rectangle left, the one at the back of the pie.

A = 6 × 2.5 = 15

Add the areas altogether to get the answer.

24 + 12.5 + 15 = 51.5 in²

I hope this helps. Sorry if Part B's answer is wrong.

Answer:

Y<=-1

Step-by-step explanation:

So to solve this problem, just plug in x for 7
Y<=1/14(7)-3/2
simplify
y<=7/14-3/2
simplify
y<=1/2-3/2
simplify
y<=-1

Answer:

The horizontal line is the x axis

the vertical line is the y axis

The first number is always the number of the x axis

Example.

(6,9)

6 is in the x axis

9 is in the y axis

find the number 6 in the x axis (the horizontal one) and then go up until the number 9.

Answer:

I drew it for you.

Step-by-step explanation:

Hope I helped!! Pls give brainliest if I helped.

Answer:

D, 24

Step-by-step explanation:

My goodness, this is rather confusing in the way it is worded. Nevertheless, I will attempt to do what I can. Just please keep in mind that this is my own interpretation of the problem, and therefore could be... incorrect.

I think, to start out, we could set up the problem like so

15 + t ≥ 26

because t is not a set number.

Then all that is needed is to subtract 15 from both sides, and the equation becomes

t ≥ 11

So the resulting answer is t ≥ 11.

I hope that my interpretation helps.

-Toremi

Answer:

Step-by-step explanation:

Answer:

A. [tex]m\angle a = 72\degree[/tex]

Step-by-step explanation:

[tex]m\angle a \: \angle c [/tex] are vertical angles.

Vertical angles are congruent.

[tex]\implies m\angle a = 72\degree[/tex]

Hope it helps you in your learning process.

Answer:

True-There are three ways to write a ratio

Answer:

Pretty sure it's true.

Step-by-step explanation:

Answer:

See below ↓↓

Step-by-step explanation:

Finding x

Finding y

Answer:

X = 7 :)

Step-by-step explanation:

Pythagorean theoreem: A^2 + B^2 = C^2

Now lets solve!!

5^2 + 5^2 = C^2

25 + 25 = c^2

Now we add!

25 + 25 = 50

Now we have to find the square root!!

[tex]\sqrt{50}[/tex] = 7

Have a nice day!!

Please rate and mark brainliest!!!

Answer:

x = 7

Step-by-step explanation:

All you do is use the Pythagorean theorem. The Pythagorean theorem states that A² + B² = C². The diagonal side is opposite to the 90-degree angle which means it's "C²". To find C², you add the 5² + 5² together (A² and B²). That equals 50. So C² = 50. To get rid of the square, you put the square root symbol over C² and 50. [tex]\sqrt{C^{2} } =\sqrt{50}[/tex]; C = [tex]\sqrt{50}[/tex]. You can simplify [tex]\sqrt{50}[/tex] to [tex]5\sqrt{2}[/tex] (Basically you find a square root that goes perfectly into 50 which was 25 and 2. The 25 would be canceled to 5 and the 2 would turn into [tex]\sqrt{2[/tex]). 5√2 is equal to 7.07 (Approximately). So the answer is 7.

Answer:

314 inches²

Step-by-step explanation:

area = pi × r²

= 3.14 × 10²

= 314 inches²

Answer:

314 inches² give the other person brainliest

Answer

C

Step-by-step explanation:

This shows that the interquartile range for Q2 is larger than Q3 so i think the answer is c

Answer: n=10

Step-by-step explanation:

p=2n

p-5=1.5n

- replace 2n in the 2nd equation for p

2n-5=1.5n

2n=1.5n=5

2n-1.5n=5

0.5n=5

n=10