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3 years ago

Unit rate 7th grade math

Mathematics

1 answer:

agasfer [191]3 years ago

5 0

Answer:

The answer is 0.68

Step-by-step explanation:

you simply divide 3.06 by 4.5

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Verify the identity: (1-sinx)/cosx = cosx/(1+sinx)

Tresset [83]

Cross multiply the expression so that we can get

(1+sinx)(1-sinx) = cos^2 x

1 - sin^2 x = cos^2 x

cos^2 x + sin^2 x = 1

since

cos^2 x + sin^2 x = 1

therefore

1 = 1

the two expressions are identical in a trigonometric sense

4 0

3 years ago

Suppose it takes 45 hours for robot A to construct a new robot. Working together with robot B, it takes 25 hours for both robots

Len [333]

Answer:

56 hours 25 minutes

Step-by-step explanation:

Given:

Suppose it takes 45 hours for robot A to construct a new robot

It takes 25 hours for both robots to construct a new robot.

Question asked:

How long would it take robot B to construct a new robot, working alone ?

Solution:

Let the time taken by robot B to construct new robot = $x$

By robot A

It takes 45 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{45} \ new\ robot$

By robot B

It takes $x$ hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{x}$ new robot

By working together

It takes 25 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{25} \ new\ robot$

$\frac{1}{25}$ new robot is constructed in = 1 hour

New robot is constructed by both working together in 1 hour = New robot is constructed by robot A in 1 hour + New robot is constructed by robot B in 1 hour

$\frac{1}{25} =\frac{1}{45} +\frac{1}{x} \\$

Subtracting both sides by $\frac{1}{45}$

$\frac{1}{25}-\frac{1}{45} =\frac{1}{45} -\frac{1}{45}+\frac{1}{x} \\\\\frac{1}{25}-\frac{1}{45} =\frac{1}{x}\\\\ Taking\ LCM \ of \ 25\ and\ 45,\ we\ got\ 225$

$\frac{9-5}{225} =\frac{1}{x} \\ \\ \frac{4}{225} =\frac{1}{x}\\\\ By\ cross \ multiplication\\4\times x=225\\Dividing\ both\ sides\ by\ 4\\x=56.25\ hours$

Thus, robot B would take 56 hours 25 minutes to construct a new robot, working alone.

4 0

3 years ago

Read 2 more answers

Is -2x-6=2x+6 no soulution

Olegator [25]

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−6=2x+6

Step 1: Subtract 2x from both sides.

−2x−6−2x=2x+6−2x

−4x−6=6

Step 2: Add 6 to both sides.

−4x−6+6=6+6

−4x=12

Step 3: Divide both sides by -4.

−4x/−4 = 12/-4

x=−3

6 0

3 years ago

Read 2 more answers

What quantum numbers specify these subshells 5s 2p 3d?

Ivan

5s subshell represent that n is equal to 5 and l is equal to 0.
2p subshell represent that n is equal to 2 and l is equal to 1.
3d subshell represent that n is equal to 3 and l is equal to 2.
The numbers gives us the value of n and the letter gives us the value of l.
s means l = 0
p means l = 1
d means l = 2
f means l = 3

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3 years ago

A airplane flies 370 miles from point A to point B with a bearing of 24

poizon [28]

Hiyoigbv jvgkk uoiu jvduj

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3 years ago