All categories

3 years ago

Two airplanes leave the airport. Plane A departs at a 42° angle from

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 c

il63 [147K]

Answer:

3.3 cm

Step-by-step explanation:

From the above question, we can draw out a proportion

= Small pentagon = Large pentagon

= x/7 = 7/15

Cross Multiply

x × 15 = 7 × 7

15x = 49

x = 49/15

x = 3.2666666667 cm

Approximately= 3.3 cm

7 0

3 years ago

Read 2 more answers

Find the slope of a line that passes through (-2,1) and (4,9)

melamori03 [73]

Answer:

m = 4/3

Step-by-step explanation:

To find the slope of a line use the formula, where "m" means slope:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

*You don't need to show this part on paper*

Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).

Point 1: (-2, 1) x₁ = -2 y₁ = 1

Point 2: (4, 9) x₂ = 4 y₂ = 9

Substitute the coordinates into the formula:

*Show this part on paper*

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$m=\frac{9-1 }{4-(-2) }$ Simplify

$m=\frac{8 }{6 }$ Reduce by dividing by 2

$m=\frac{4 }{3 }$ Slope

The slope of the line is 4/3

8 0

3 years ago

A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x

Arturiano [62]

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

6 0

3 years ago

Keith is saving money for a car. He has saved the same amount each year for the past three years, and records of how much he has

insens350 [35]

Answer:

keith saves 1500 dollars per year

8 0

3 years ago

Read 2 more answers

Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wan

atroni [7]

Answer:

$4696.0 in.^3$

Step-by-step explanation:

The trash can has a cylinder shape, so we have to calculate the volume of a cylinder.

The volume of a cylinder is given by the formula

$V=\pi r^2 h$

where

V is the volume

r is the radius of the base

h is the height of the cylinder

In this problem, we have:

h = 24.90 in. is the height of the can

d = 15.50 in. is the diameter of the can, so the radius is half of this value:

$r=\frac{d}{2}=\frac{15.50}{2}=7.75 in.$

Therefore, the volume of the trash can is:

$V=\pi (7.75)^2 (24.90)=4696.0 in.^3$

5 0

3 years ago