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3 years ago

14

Which of the following circles lie completely in the fourth quadrant

1 answer:

NARA [144]3 years ago

4 0

Answer:

C.(x-5)²+(x+5)=9

D (x-9)²+(y+9)²=16

Step-by-step explanation:

Use a graph tool to visualize the circle.See attached

You can also see that in the options

C. circle has center (5,-5) and radius 3 which will form in 4th quadrant

D. Circle has center (9,-9) and radius 4 which will still form in 4th quadrant

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A triangle has interior angles measuring 40° and 52°.

svp [43]

There are two correct answers. Numbers 3 4 are both correct. The sum of all angles in a triangle must add up to 180°. The two given where are 40° and 52°. If you subtract these from 180°, the remaining angle would be 88°. Choices 3 and4 both give two possible angles.

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3 years ago

You went to the store to buy school supplies. It costs $5 to buy a notebook and $3 to buy a pen. If you have $50 to spend, then

Strike441 [17]

Answer:

10

Step-by-step explanation:

5x10=50

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2 years ago

How much is 1/4 plus 1/5 of a hole

statuscvo [17]

The answer is 1/2

step by step: 1×1=1 so then you can do 5×4 which is 20 so that is 1/20

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3 years ago

A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other w

hoa [83]

Answer:

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

Step-by-step explanation:

Volume of cylinder = V

Radius of cylinder = r = 0.5 m

Height of the cylinder = 5 m

Volume of cylinder = $\pi r^2h$

$V=3.14\times (0.5 m)^2\times 5 =3.925 m^3$

Mass of gasoline = m

Density of gasoline = d = $673 kg/m^3$

$m=d\times V=673 kg/m^3\times 3.925 m^3=2,641.525 kg$

Work done to pump the gasoline out of the tank W

Acceleration due to gravity = g $.8 m/s^2$

The center of gravity of fuel in fully filled tank will be centre so, the value of h = 2 m + 0.5 m = 2.5 m

$W =m\times g\times h$

$W=2,641.525 kg\times 9.8 m/s^2\times 2.5 m=64,717.36 J$

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

6 0

3 years ago

Write the quadratic equation whose roots are 3 and -1, and whose leading coefficient is 5.

Assoli18 [71]

Answer:

5x² - 10x - 15 = 0

Step-by-step explanation:

Given that the roots are x = 3 and x = - 1, then the factors are

(x - 3) and (x + 1) and the quadratic is the product of the factors, that is

f(x) = a(x - 3)(x + 1) ← a is a multiplier

Here a = 5, thus

f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL

= 5(x² - 2x - 3) ← distribute parenthesis by 5

= 5x² - 10x - 15

Thus equation is

5x² - 10x - 15 = 0

6 0

3 years ago