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Sophie [7]
3 years ago
15

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0
90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37
I hope this helps.
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ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?
MariettaO [177]

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

F (−7, 4),

G (0, 8)

ΔEFG

Solution:

Distance formula

Distance d = \sqrt{(x_2-x_1)^2 +( y_2-y_1)^2

Step 1: Finding the length of  EF

By using distance formula,

EF = \sqrt{(-7 - 0)^2 + (4-0)^2}

EF = \sqrt{(49) + (16)}

EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\

Step 2: Finding the length of  FG

By using distance formula,

FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}

Step 2: Finding the length of  GE

GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8

Thus we could see that the sides EF = FG

So it is  a isosceles triangle.

6 0
2 years ago
A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below thw water
Sauron [17]

Given :

A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below the water surface.

A fish is 20 feet along the horizontal plane from the scuba diver and 10 feet below the scuba diver.

To Find :

The slope between the scuba diver and fish.

Solution :

Horizontal distance between diver and fish is 20 feet.

Fish is 10 feet below the scuba diver.

Slope between scuba diver and fish is :

tan\ \theta = \dfrac{10}{20}\\\\tan\ \theta = 0.5

Therefore, the slope between the scuba diver and fish is 0.5 .

6 0
2 years ago
The position d of bicyclist (measured in kilometres) is a linear function of time t (measured in minutes). At time t= 5 minutes,
satela [25.4K]

Answer:

<h2>               21 km    </h2>

Step-by-step explanation:

If the bicyclist travels 7 km for every 5 minutes then it is directly proportional

5 min        7 km

15 min          x

x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km

3 0
3 years ago
Please answer this question
GarryVolchara [31]

Answer:

I think its d

isn't the inverse the opposite of the original?

5 0
2 years ago
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