1+7 (1 - 3b) 1+7 (1-3b)

Jennifer bought an umbrella on a business trip. The umbrella is 29 inches long.

OleMash [197]

Answer:

Answer 30^{2}

Step-by-step explanation:

24^{2} + 18^ {2} = c^{2}

576 + 324 = c^{2}

\sqrt{900} c^{2} = 30

hope this helps!

5 0

3 years ago

Solve for x.

Aliun [14]

9514 1404 393

Answer:

x = 3.6

Step-by-step explanation:

The angle bisector divides the segments proportionally. This means they satisfy ...

bottom segment / side segment = x/6 = (6-x)/4

Multiplying by 12 gives ...

2x = 3(6 -x)

2x = 18 -3x . . . . . eliminate parentheses

5x = 18 . . . . . . . . add 3x

x = 3.6 . . . . . . . . . divide by 5

_____

Alternate solution

I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.

8 0

3 years ago

Which of the following reveals the minimum value for the equation 2x^2 − 4x − 2 = 0?

12345 [234]

Answer:

$2(x-1)^{2}=4$

Step-by-step explanation:

The options of the question are

2(x − 1)2 = 4

2(x − 1)2 = −4

2(x − 2)2 = 4

2(x − 2)2 = −4

we have

$2x^{2} -4x-2=0$

This is a vertical parabola open upward

The vertex represent the minimum value

The quadratic equation in vertex form is

$y=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

so

Convert the quadratic equation in vertex form

Factor 2 leading coefficient

$2(x^{2} -2x)-2=0$

Complete the squares

$2(x^{2} -2x+1)-2-2=0$

$2(x^{2} -2x+1)-4=0$

Rewrite as perfect squares

$2(x-1)^{2}-4=0$

The vertex is the point (1,-4)

Move the constant to the right side

$2(x-1)^{2}=4$

3 0

3 years ago

What is the surface area of a fear with a diameter of 2.7 inches? Use 3.14 for π

GrogVix [38]

Answer:

22.8906 sq in

Step-by-step explanation:

SA of a sphere = 4 π $r^{2}$

r = 2.7 / 2 = 1.35

4 x 3.14 x $1.35^{2}$ = 22.8906

5 0

3 years ago

Help me with this please.

Drupady [299]

Answer:

1. 83 square inches

2. 7.065 square centimeters

Step-by-step explanation:

Hey there!

In order to find the area of the shaded region of the rectangle, you need to first find the area of the whole shape

The dimensions are 10 and 16 and if you multiply them together, you get 160

This means that the area of the whole shape is 160

Now they are asking for the area of the shaded shape, so we need to find the area of the white rectangle, and then subtract that area from 160

The dimensions for the white rectangle is 11 and 7

This means that the area of the white rectangle is 77

Now what we need to do is subtract 77 from 160

160-77=83

So the area of the shaded region is 83 square inches

Now to get to the second question

We need to find the area of the quarter circle

In order to find this, we need to first find the area of the whole circle, then divide that by 2

They gave us the radius already which makes it a lot easier (the radiues is 3)

All we need to do is input 3 into the formula for the area of a circle

$\pi r^2$

In this case, since they are telling us to use 3.14 as pi, the equation would look like this:

$3.14*3^2$

This can be simplified to $3.14*9$ which is equal to 28.26

So this is the area of the whole circle

But the question is asking for the area of a quarter of that circle

So what we need to do is divide 28.26 by 4 which is 7.065

So the area of the quarter circle is 7.065 square centimeters

4 0

2 years ago

1+7 (1 - 3b)1+7 (1-3b)