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2 years ago

Do i use SIN, COS, or TAN to find the missing lengths?

Mathematics

1 answer:

BaLLatris [955]2 years ago

3 0

Answer:

Step-by-step explanation:

+ Because of a right triangle, so we can find them- the missing lengths:

+ sin(40)= GH/GF

so GH = GF * sin(40) = 88* sin (40) = 56.565= GH

+ cos( 40) = FH/GF

so FH= GF *cos(40)= 88* cos(40) = 67.412= FH

Have a good day

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Can I find a tutor to help me bro ?

nignag [31]

Solution

Given the quadratic equation:

x² + 2x + 7 = 21

x² + 2x + 7 - 21 = 0

x² + 2x - 14 = 0

a = 1, b = 2, c = - 14

(1) The number of solutions of a given quadratic equation is determine by the discriminant.

From the given values;

(2)² - 4(1 x -14) = 4 + 56 = 60

60 > 0 ( 2 solutions)

1 positive solution and 1 negative solution

Thus, number of positive solutions to this equation is one

(2) The greatest solution or positive solution to the equation is calculated as;

3 0

10 months ago

The ages of the employees at Solar Systems, Inc. is normally distributed with a mean of 32.7 years and a standard deviation of 1

svetoff [14.1K]

Answer:

6.7% of employees at Solar Systems, Inc. are younger than 30 years old

Step-by-step explanation:

The mean of ages of the employees at Solar Systems is 32.7 years

Mean = $\mu = 32.7$

Standard deviation = $\sigma = 1.8 years$

We are supposed to find What percentage of employees at Solar Systems, Inc. are younger than 30 years old i.e.P(x<30)

So, $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{30-32.7}{1.8}$

Z=-1.5

Refer the z table for p value

So,p value = 0.0668

So P(x<30)=0.0668= 6.68% = 6.7%

So, 6.7% of employees at Solar Systems, Inc. are younger than 30 years old

7 0

3 years ago

PLEASE HELP FAST!!!!!

kap26 [50]

Answer:

See below

Step-by-step explanation:

Given functions

f(x)=8^x
g(x)=8^(x+5) + 1

As we see g(x) = f(x + 5) + 1, which means horizontal translation 5 units left and vertical translation 1 unit up.

Answer options are all incorrect

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2 years ago

What is 6-2p=p+9 ?Because I don't know it

nikklg [1K]

Hey there!

Firstly, you have to $\bold{simplify}$ each of the sides of your equation
$\bold{6-2p-p+9\downarrow}$
$\bold{6+(-2p)=p+9\downarrow}$
$\rightarrow\bold{-2p+6=p+9}$
Now that you have that portion out of the way, we could move on to our second step... which is to $\bold{subtract}$ by the value of $\bold{p}$ on each of your sides
$\bold{-2p+6-p-p+9-p\downarrow}$
$\rightarrow\bold{-3p+6-9}$ (you get this because we solve the particular equation we added above)
Thirdly, you have to $\bold{subtract}$ by the number $\bold{6}$ on each of your sides
$\bold{-3p+6-6=9-6\downarrow}$
$\bold{Cancel:6-6}$ because it equals to $\bold{0}$
$\bold{Keep:9-6}$ because it brings us closer and closer to the answer of $\bold{p}$
Fourthly, we have to $\bold{divide}$ by the number $\bold{-3}$ on each of your sides
$\bold{\frac{-3p}{-3}=\frac{3}{-3}}$
$\boxed{\boxed{\bold{Answer:p=-1}}}$ $\checkmark$