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3 years ago

17<9 + x Help me please what is the answer

Mathematics

1 answer:

taurus [48]3 years ago

5 0

Answer:

17<9 + x Help me please what is the answer

Step-by-step explanation:

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I need help with questions #7 and #8 plz

katen-ka-za [31]

Answer:

7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg

8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg

Step-by-step explanation:

Law of Cosines

$c^2 = a^2 + b^2 - 2ab \cos C$

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.

Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.

We use the law of cosines to find C.

$18^2 = 12^2 + 16^2 - 2(12)(16) \cos C$

$324 = 144 + 256 - 384 \cos C$

$-384 \cos C = -76$

$\cos C = 0.2$

$C = \cos^{-1} 0.2$

$C = 78.6^\circ$

Now we use the law of sines to find angle A.

Law of Sines

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

We know c and C. We can solve for a.

$\dfrac{a}{\sin A} = \dfrac{c}{\sin C}$

$\dfrac{12}{\sin A} = \dfrac{18}{\sin 78.6^\circ}$

Cross multiply.

$18 \sin A = 12 \sin 78.6^\circ$

$\sin A = \dfrac{12 \sin 78.6^\circ}{18}$

$\sin A = 0.6535$

$A = \sin^{-1} 0.6535$

$A = 40.8^\circ$

To find B, we use

m<A + m<B + m<C = 180

40.8 + m<B + 78.6 = 180

m<B = 60.6 deg

I'll use the law of cosines 3 times here to solve for all the angles.

Law of Cosines

$a^2 = b^2 + c^2 - 2bc \cos A$

$b^2 = a^2 + c^2 - 2ac \cos B$

$c^2 = a^2 + b^2 - 2ab \cos C$

Find angle A:

$a^2 = b^2 + c^2 - 2bc \cos A$

$8^2 = 18^2 + 12^2 - 2(18)(12) \cos A$

$64 = 468 - 432 \cos A$

$\cos A = 0.9352$

$A = 20.7^\circ$

Find angle B:

$b^2 = a^2 + c^2 - 2ac \cos B$

$18^2 = 8^2 + 12^2 - 2(8)(12) \cos B$

$324 = 208 - 192 \cos A$

$\cos B = -0.6042$

$B = 127.2^\circ$

Find angle C:

$c^2 = a^2 + b^2 - 2ab \cos C$

$12^2 = 8^2 + 18^2 - 2(8)(18) \cos B$

$144 = 388 - 288 \cos A$

$\cos C = 0.8472$

$C = 32.1^\circ$

8 0

3 years ago

Anna has a rectangular that is 33 inches and 75 inches. Find the perímeter of the rectangular in yards

charle [14.2K]

Answer:

6 yards

Step-by-step explanation:

<u>Perimeter of a rectangle: 2a + 2b</u>

2(33) + 2(75)

66 + 150

216 inches

216/12 gives us feet

18/3 gives us yards

6 yards

Answer: 6 yards

7 0

3 years ago

What is the solution for the system of equations x+y=2 and x-y=4

dmitriy555 [2]

X+y=2 (label equation one)
x-y=4 (label equation two)

y=-x+2 (equation one rearranged, label this equation equation three)

sub 3 into 2
x-(-x+2)=4
x+x-2=4
2x-2=4
2x=6
x=3
sub x=3 into equation one

3+y=2
y=-1

therefore x=3 and y=-1

5 0

3 years ago

Complete the table:

Oksi-84 [34.3K]

Answer:

Fraction Percentage Decimal

¹/₅ 20% 0.2

¹/₄ 25% 0.25

¹/₂ 50% 0.5

²/₃ 66.6% 0.6

Fraction;

25/100 = 1/4

66.6/100 = 2/3

Percentage

1/5 * 100 = 20%

1/2 * 100 = 50%

Decimal

1/5 = 0.2

25/100 = 0.25

1/2 = 0.5

3 0

3 years ago

6. Jayden does 2 sit-ups on the first day of the month, 4 the next day, 8 the

bagirrra123 [75]

Answer:60

Step-by-step explanation:2 x 30=60

7 0

4 years ago

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