What is the value of x? 4 3 11 36 16 0 17/ 7 16

Nina buys a small rug in the shape of a kite. The width of the rug is half its height. What are the width and area of the rug? (

Alenkinab [10]

Answer:

$Width = 20\ in$

$Area = 400\ in^2$

Step-by-step explanation:

Given

See attachment for kite dimension

Required

Determine the width and the area

From the attachment, the height of the kite is:

$Height = 31\ in + 9\ in$

$Height = 40\ in$

The width which is half the height is:

$Width = \frac{1}{2} * Height$

$Width = \frac{1}{2} * 40\ in$

$Width = 20\ in$

The area is:

$Area = \frac{Height * Width}{2}$

$Area = \frac{40\ in * 20\ in}{2}$

$Area = 40\ in * 10\ in$

$Area = 400\ in^2$

5 0

3 years ago

Simplify (3x − 5) − (4x + 6).

irinina [24]

(3x − 5) − (4x + 6)

Pretend that there is a 1 in front of the first bracket.

Pretend that there is a -1 in front of the second bracket.

Multiply the first bracket by 1

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

Multiply the second bracket by -1

(-1)(4)=-4, (-1)(6)=-6

3x-5-4x-6

3x-4x-5-6 ( combine like terms)

-x-11

Answer: -x-11 or -11-x

3 0

3 years ago

Hii! I need some help, would anyone mind helping me?

Kisachek [45]

Step-by-step explanation:

${x}^{2} - 14x - 25 {y}^{2} + 100y = 76$

Factor by grouping,

$( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76$

Complete the square, with the x variables,

$( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125$

Factor out 25 for the y variables

$( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125$

Complete the square

$( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25$

Simplify the perfect square trinomial

$(x - 7) {}^{2} - 25(y - 2) {}^{2} = 25$

Make the right side be 1 so divide everything by 25.

$\frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1$

Here our center is (7,2).

8 0

2 years ago

Please please help!!

Olenka [21]

Answer:

The formula T= 10d +20

A) what does each term on the right side of the equation represent?

10d⇒ 10 degrees increase per 1 km and 20 deg surface temperature

B) Estimate the depth where the temperature is 60 degrees C.

60=10d+20
10d=40
d=4 km

C) What is the approximate temperature at a depth of 4km?

T=10*4+20
T=60 deg

4 0

3 years ago

How to solve the equation 8b - 12 = 5b

Virty [35]

Answer:

b = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define equation

8b - 12 = 5b

Step 2: Solve for b

Subtract 5b on both sides: 3b - 12 = 0
Add 12 on both sides: 3b = 12
Divide 3 on both sides: b = 4

Step 3: Check

Plug in b to verify it's a solution.

Substitute: 8(4) - 12 = 5(4)
Multiply: 32 - 12 = 20
Subtract: 20 = 20

And we have our final answer!

4 0

3 years ago