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3 years ago

calculate the side lengths a and b to two decimal places angle a is 64 angle b is 85 and line ab is 9.3? PLEASE HELP ASAP

1 answer:

4 0

∠C = 180° - (∠A + ∠B) = 180° - (64° + 85°) = 180° - 149° = 31°
$AC= \frac{9.3*sin(85)}{sin(31)} = \frac{9.3*0.9962}{0.515} =17,99 \\ \\ BC=\frac{9.3*sin(64)}{sin(31)} = \frac{9.3*0.8988}{0.515} =16,2$

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One side of a tabletop is 12x – 5 units long. Another side of the tabletop is 7x + 4 units long. If the tabletop is a square, wh

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Answer:

no c

Step-by-step explanation:

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3 years ago

Todd has twice as many songs in his playlist as Vlad. Becca has three times as many songs in her playlist as Todd. If all three

nikitadnepr [17]

Answer:

Todd has 540540 songs in his playlist.

Vlad has 270270 songs in his playlist.

Becca has 162162 songs in her playlist.

Step-by-step explanation:

# of songs Todd has = T

# of songs Vlad has = V

# of songs Becca has = B

1) Todd has twice as many songs in his playlist as Vlad:

T=2V

2) Becca has three times as many songs in her playlist as Todd:

B=3T

3) All three people have a total of 243243 songs in their playlists:

T+V+B=243243

Because T=2V then you can substitute T as 2V in the second equation:

B=3(2V)

B=6V

Now in the final equation, you can substitute everything for V:

2V+V+6V=243243

9V=243243

V=27027

Now substitute for T:

T+1/2T+3T=243243

9/2T=243243

T=54054

Now substitute for B:

1/3B+1/6B+B=243243

3/2B=243243

B=162162

Check answers:

27027+54054+162162=243243

243243=243243

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3 years ago

An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle

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Answer:

$\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

$\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}$

The middle point of the base is placed at point

$\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i$

The length of the height is the distance between the points 5+9i and 7+3i

$\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}$

So, the area of the triangle is

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

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3 years ago

Write the point from of the equation for a line that passes through (6,—1) with a slope of 2

Paraphin [41]

Answer:

y = 2x-13

Step-by-step explanation:

The equation for a line is

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

We know a point so we have a y and an x, so we can solve for b

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-1 =12+b

Subtract 12 from each side

-1-12 = 12-12+b

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Substitute this into y = 2x+b

y = 2x-13

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Answer:

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Step-by-step explanation:

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3 years ago

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