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2 years ago

How do I find the length of GJ?

Mathematics

1 answer:

wlad13 [49]2 years ago

5 0

6(X+6)= 12(5)
6x+36=60
6x=24
X=4
Now put 4 in X of GJ
GJ=10

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Multiply. Write your answer in scientific notation. (2 x 10^7) (1 x 10^7)

loris [4]

2 x 10exponent 14 I think

7 0

2 years ago

I tried this few times can i get some help

mihalych1998 [28]

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
10y minus 8y gives us 2y.
22 minus 14 gives us 8

3x+10y=22

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

$\frac{2y}{2} = \frac{8}{2}$

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

$\frac{3x}{3} = \frac{ - 18}{3}$

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

6 0

2 years ago

The sample consisted of 50 night students, with a sample mean GPA of 3.02 and a standard deviation of 0.08, and 25 day students,

bulgar [2K]

Answer: The test statistic is t= -0.90.

Step-by-step explanation:

Since we have given that

n₁ = 50

n₂ = 25

$\bar{x_1}=3.02\\\\\bar{x_2}=3.04\\\\\sigma_1=0.08\\\\\sigma_2=0.06$

So, s would be

$s=\sqrt{\dfrac{n_1\sigma_1^2+n_2\sigma_2^2}{n_1+n_2-2}}\\\\s=\sqrt{\dfrac{50\times 0.08^2+25\times 0.06^2}{50+25-2}}\\\\s=0.075$

So, the value of test statistic would be

$t=\dfrac{\bar{x_1}-\bar{x_2}}{s(\dfrac{1}{n_1}+\dfrac{1}{n_2})}\\t=\dfrac{3.02-3.04}{0.074(\dfrac{1}{50}+\dfrac{1}{25})}\\\\t=\dfrac{-0.04}{0.074(0.02+0.04)}\\\\t=\dfrac{-0.04}{0.044}\\\\t=-0.90$

Hence, the test statistic is t= -0.90.

7 0

2 years ago

Find the value of x. Round to the nearest degree as needed.

Bas_tet [7]

9514 1404 393

Answer:

x° = 29°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...

Sin = Opposite/Hypotenuse

sin(x°) = 12/25

x° = arcsin(12/25) ≈ 28.69°

The value of x is about 29.

4 0

2 years ago

What is 36.993 to the nearest thousandth

finlep [7]

The next larger thousandth is 36.994 .
The next smaller thousandth is 36.992 .
Neither of those is any nearer to 36.993
than 36.993 already is.

The last '3' at the end of 36.993 is in the thousandths' place.
There is no more piece of another thousandth after it.
So 36.993 is already on a complete thousandth, and
there's no rounding required.

7 0

2 years ago