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3 years ago

I'LL GIVE A BRAINLIEST

Mathematics

1 answer:

Irina18 [472]3 years ago

7 0

Step-by-step explanation:

the equation of the line that is parallel to

x – 3y = 9

=> the slope = -1/-3 = ⅓

passes through the point (3, -1) =>

y -(-1) = ⅓(x -3)

y+1= ⅓x - 1

y = ⅓x -1-1

y = ⅓x - 2

x -3y = 6

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.

harina [27]

Answer:

$Perimeter = 38.6$

Step-by-step explanation:

Given

$A\ B = 13$

$B\ F = 9$

$F\ C = 5.6$

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

$Perimeter = A B + B\ C + A\ C$

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

$B\ C^2 = B\ F^2 + F\ C^2$

Substitute values for BF and FC;

$B\ C^2 = 9^2 + 5.6^2$

$B\ C^2 = 81 + 31.36$

$B\ C^2 = 112.36$

$B\ C^2= \sqrt{112.36$

$B\ C = 10.6$

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

$A\ B^2 = B\ F^2 + A\ F^2$

Substitute values for B F and A B;

$13^2 = 9^2 + A\ F^2$

$169= 81 + A\ F^2$

$A\ F^2 = 169 - 81$

$A\ F^2 = 88$

$A\ F = \sqrt{88$

$A\ F = 9.4$

Since F lies on line A C:

$A\ C = A\ F + F\ C$

$A\ C = 9.4 + 5.6$

$A\ C = 15.0$

Recall that:

$Perimeter = A\ B + B\ C + A\ C$

$Perimeter = 13 + 10.6 + 15.0$

$Perimeter = 38.6$

<em>Hence, the perimeter is 38.6</em>

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3 years ago

When she is outdoors, Tasha the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between he

Vlad [161]

Answer: the length of the arc from her dog house to the hydrant is 69 feet

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 24 feet

θ = 165 degrees

Therefore,

Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24

Length of arc = 69 feet rounded up to the nearest feet.

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3 years ago

The number of students in a chess club decreased from 14 to 12. What is the percent decrease? Round your answer to the nearest p

Zolol [24]

Answer:

14.2857% decrease

≈ 14.3% decrease

Step-by-step explanation:

nearest tenths : 14.3%

nearest hundredths : 14.29%

nearest thousandths : 14.286%

I hope my answer is correct, I provided more options because I wasn't sure what nearest percent wanted.

Hope this helps!

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3 years ago

1/4 x 2/5 x 3/6 x 4/7 x 5/8 x 6/9 x 7/n=?

postnew [5]

Answer:

c. $\frac{1}{12n} = {[12n]}^{-1}$

Step-by-step explanation:

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* To make this simpler, reduce these two fractions in lowest terms.

I am joyous to assist you anytime.

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3 years ago

HELPPPP MMEEEEEEEE I DONT UNDERSTAND !!!

vichka [17]

Here is your perfect answer

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3 years ago