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Roman55 [17]
3 years ago
8

What is the answer? please be detailed as possible I need this done asap

Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

a7=36

Step-by-step explanation:

a1=12

a2=a1+4=16

a3=a2+4=20

an=4×(n+2)

a7=4×(7+2)=4×9

a7=36

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What is an equivalent expression for x=3y-2
ioda
X = 3(y - 2/3) ...distribute thru the parenthesis
x = 3y - 6/3...reduce
x = 3y - 2

so ur answer is : x = 3(y - 2/3)
5 0
3 years ago
What is the vertical component of a 100 pound force applied at 30° above the horizontal?
lutik1710 [3]
That would be 100 * sin 30 = 100 * 0.5 = 50 pounds
4 0
3 years ago
Which is an equation of a line through (7,1) and perpendicular to y=-x+3
zysi [14]

Answer:

The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.

Step-by-step explanation:

y=mx+b

m=-1

y-y=m(x-x¹)

y-1=-1(x-7)

y-1=-1x+7

+1 +1

y=-x+8

I hope this helps:)

6 0
3 years ago
Find the value of x. Round your answer to the nearest tenth.
Fantom [35]
Hello again! So we will be using the pythagorean theorem (leg^2+leg^2=hypotenuse^2) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.


Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

17^2+z^2=19^2

Solve the exponents to get 289+z^2=361

Subtract 289 on each side to get z^2=72

Lastly, square root each side of the equation and your answer should be z= \sqrt{72} (To get more accurate answers, you shouldn't round until the end of the problem)


Nextly, we will need to subtract \sqrt{72} from 31. And since there are 2 triangles, you'll need to multiply \sqrt{72} by 2.

x=31- \sqrt{72} *2 \\ x=14.0

In short, x = 14.0
5 0
3 years ago
7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of
kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0
3 years ago
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