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mr_godi [17]
3 years ago
15

Work out the gradient of the graph shown.

Mathematics
1 answer:
icang [17]3 years ago
4 0

y=-3 and then x=-1 =-3:-1

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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
What is the range of the relation?
Westkost [7]

Answer:

c

Step-by-step explanation:

6 0
2 years ago
How many cups of raisins will Gina need to make 32 servings of trail mix
kotegsom [21]
16 pints because 1 pint equals 2 cups each so multiply 16 x 2 which equals 32
8 0
3 years ago
Rose has $426.00 in her checking account. 1⁄3 of her money will go toward bills. How
Alex Ar [27]

Answer:

<em>$284</em>

Step-by-step explanation:

First,<em> find 1/3 of 426 by multiplying 1/3*426</em>

With your answer <em>(142)</em>, subtract that from the total in your checking account.

<em>426-142=284</em>

This means, After withdrawing the amount she will use to pay bills, Her left over total will be <em>284 dollars.</em>

8 0
3 years ago
Read 2 more answers
What is the equation table for y=x-15.
givi [52]

Answer:

Hope this Helps!!

Have a great day!!!

Step-by-step explanation:

x       y

-3    -18

-2     -17

-1      -16

0      -15

1       -14

2      -13

3      -12

4 0
2 years ago
Read 2 more answers
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