Please answer this correctly without making mistakes

Can someone please help me with this question? Also, can you show your work. Thank you! :) 2 help me understand

mart [117]

(320,000/4000)*12= 960 USD. 320,000 divided by 4000 is 80, there are 12 months in a year. 12 times 80 is 960. So 960 Dollars is your answer.

4 0

2 years ago

Abc is an isosceles and right triangle whose hypotenuse measures 8 inches. use the pythagorean theorem to determine the length o

geniusboy [140]

Because the triangle ABC is isosceles, the leg of the triangle has the same length. For example, the length of one leg is a, then the other leg is a too.

Input the numbers to pythagorean formula
a² + b² = c²
a² + a² = 8²
2a² = 64
a² = 64/2
a² = 32
a = √32
a = √16 × √2
a = 4√2

The length of each leg is 4√2 inches

6 0

2 years ago

A cylinder shaped storage tank has a radius of (x+5) metres and a height of x metres. Determine the dimensions (round to two dec

givi [52]

Answer:

Radius = 6.46 meters

Height = 1.46 meters

Step-by-step explanation:

The volume of a cylinder = πr²h

In the above question, we were given

r = (x + 5) meters

h = x meters

Volume = 192 cubic meters

Hence,

192 = π × (x + 5)² × x

192 = π × (x² + 10x + 25) × x

192 = π × (x³ + 10x² + 25x)

Divide both sides by π

192/π = x³ + 10x² + 25x

61.115498147 = x³ + 10x² + 25x

x³ + 10x² + 25x - 61.12

This Quadratic equation is a polynomial

x = 1.46119

From the above:

Radius = (x + 5)meters

Radius = 1.46119 + 5 = 6.46119 meters

Approximately to 2 decimal places = 6.46 meters

Height = x meters

Height = 1.46119 meters

Approximately to 2 decimal places = 1.46 meters

6 0

2 years ago

What is the y-intercept of f(x)=3/5x a. (1, 0) b. (1, 3/5) c. (0, 0) d. (0, 1)

Digiron [165]

Answer
F(0)=0

I can put the work in the comments if you need it :)

4 0

2 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$