2 years ago

Find the solution of the system of equations. -x+2y=-15 8x-2y=-20

Mathematics

1 answer:

Grace [21]2 years ago

8 0

Answer:

the answer is (-5,-10)

hope this helps :)

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A right triangle has an area of 21 m2 . The dimensions of the triangle are increased by a scale factor of 4. What is the area of

vladimir2022 [97]

Answer: The Answer is D, 336 Meters squared.

Step-by-step explanation:

When you increase the dimensions of a right triangle by a scale factor of 4, you increase the area by a factor of 4 squared or 16.

4 0

2 years ago

Jimmy Neutron is building a skateboarding ramp that is 16 inches high. The angle formed by the ramp and the ground is 21 degrees

adell [148]

Answer:

44.65 inches

Step-by-step explanation:

Height of ramp = 16 inches

Length of ramp, l

Angle formed by ramp and ground = 21°

Using Pythagoras :

Sinθ = opposite / hypotenus

Sin21° = 16 / l

0.3583679 = 16 / l

0.3583679 * l = 16

l = 16 / 0.3583679

l = 44.646855 inches

Hence, length of ramp is 44.65 inches

5 0

2 years ago

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Gnoma [55]

$\displaystyle\dfrac{1}{\sec x(1-\sin x)}=\dfrac{\cos x}{1-\sin x}\\\\\\\int \dfrac{dx}{\sec x(1-\sin x)}=\int\dfrac{\cos x\, dx}{1-\sin x}\\\\\\u=1-\sin x\\du=-\cos x\, dx\\\\\int \dfrac{\cos x\, dx}{1-\sin x}=\int \dfrac{-du }{u}=-\int \dfrac{du}{u}=-\ln |u|+C=-\ln|1-\sin x|+C$