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4 years ago

Convert the following degree measure to radian measure. 90 degrees

Mathematics

1 answer:

Ray Of Light [21]4 years ago

4 0

90 degrees converted to radians is pi/2 or π/2 radians.

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Evaluate the arithmetic series described:<br> a1=5, an = 145, Find S15

Nutka1998 [239]

Answer: well, a = 5 and an = 29

Thats the furthest i got- sorry i to lazy to do work rn but atleast i found out what a and an equals to- i think

5 0

3 years ago

Austin consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Austin's bod

Olegator [25]

Answer:

5-hour: 0.5277
1-hour: 0.8800

Step-by-step explanation:

The decay factor for time t can be written as ...

0.2785^(t/10)

Then the 5-hour decay factor is ...

0.2785^(5/10) ≈ 0.5277

and the 1-hour decay factor is ...

0.2785^(1/10) ≈ 0.8800

5 0

3 years ago

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

5 0

3 years ago

Read 2 more answers

Find the value of the variable that makes the equation true 3x-11=-2x+19

DaniilM [7]

Answer:

x = 6

Step-by-step explanation:

Given

3x - 11 = - 2x + 19 ( add 2x to both sides )

5x - 11 = 19 ( add 11 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

4 0

3 years ago

Which of the following are solutions to the equation below?

NemiM [27]

Answer:

C and D

Step-by-step explanation:

Given

(3x - 5)² = 19 ( take the square root of both sides )

3x - 5 = ± $\sqrt{19}$ ( add 5 to both sides )

3x = ± $\sqrt{19}$ + 5 ( divide both sides by 3 )

x = $\frac{+/-\sqrt{19}+5 }{3}$

x = $\frac{-\sqrt{19}+5 }{3}$ → C

x = $\frac{\sqrt{19}+5 }{3}$ → D

4 0

4 years ago

Read 2 more answers