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amid [387]
3 years ago
14

Write the equation of the line whose slope and the point through which it passes are

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0

Answer:

y+4=6(x+7)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=6(x-(-7))

y+4=6(x+7)

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Given: △ABC, m∠A=60°, m∠C=45°, AB=9 Find: Perimeter of △ABC, Area of △ABC do not rationlize
dexar [7]

Answer:

p = 32.32; A = 47.91  

Step-by-step explanation:

1. Calculate ∠B

∠A + ∠B + ∠C = 180°

60° + ∠B + 45° = 180°

       ∠B + 105° = 180°

                  ∠B =   75°

2. Find sides BC and AC

We can use the Law of Sines

\dfrac{\sin A}{BC} = \dfrac{\sin B}{AC} = \dfrac{\sin C}{AB}

(i) Find BC

\dfrac{\sin 75^{\circ}}{AC} = \dfrac{\sin 45^{\circ}}{9}\\\\\dfrac{0.8660}{BC} = \dfrac{0.7071}{9}\\\\BC = 9 \times \dfrac{0.8661}{0.7071} = 11.02

(ii) Find AC

\dfrac{\sin 75^{\circ}}{AC} = \dfrac{\sin 45^{\circ}}{9}\\\\\dfrac{0.9659}{AC} = \dfrac{0.7071}{9}\\\\BC = 9 \times \dfrac{0.9659}{0.7071} = 12.29

3. Find the perimeter

p = AB + AC + BC = 9 + 12.29 + 11.02 = 32.32

4. Find the area of the triangle

A general formula for the area of a triangle is

A = ½ab sinC

If we use ∠A, the formula becomes

A = ½ × 9 × 12.29 × sin60° = 55.30 × 0.8660 = 47.91

4 0
3 years ago
Question 2<br> What is the quotient of 3/4 divided by 5/4
docker41 [41]

Answer:

3/5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
WUCLUJ
mash [69]

Answer:

81 degrees

Step-by-step explanation:

A quadrilateral has four interior angles which sum up to 360 degrees.

As we are given that two angles are right angles which means the sum of two angles will be 180 degrees and the third angle is 99 degrees.

As we know that the four angles sum up to 360 degrees.

Let A,B,C and D denote the four angles,

Then

Sum of angles = 360

A+B+C+D=360

90+90+99+D=360

279+D=360

D=360-279

D= 81 degrees

So the fourth angle is 81 degrees ..

7 0
4 years ago
Large boxes hold 3 times as much as small boxes. Layla has packed 4 large boxes and 7 small boxes. If she has packed a total of
ANEK [815]
A large box holds 3.6 cubic feet
6 0
3 years ago
Read 2 more answers
32 OUNCES EQUALS HOW MANY POUNDS?
Leni [432]
It equals 2 pounds hope this help buddy
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3 years ago
Read 2 more answers
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