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3 years ago

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics

1 answer:

kramer3 years ago

5 0

Answer:

Step-by-step explanation:

Use sine.

$sine=\dfrac{opposite}{hypotenuse}$

We have:

$opposite=x\\hypotenuse=16$

$\sin40^o\approx0.6428$ <em>look at the table in the picture</em>

Substitute:

$\dfrac{x}{16}=0.6428$ <em>multiply both sides by 16</em>

$x=10.2848\to x\approx10.3$

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Complete the point-slope equation of the line through (-4,8) and (4,4)

notka56 [123]

Answer:

y-4=(-1/2)(x-4)

Step-by-step explanation:

Slope=(8-4)/(-4-4)=-4/8=-1/2

The equation of the line is y-4=(-1/2)(x-4)

4 0

3 years ago

Read 2 more answers

On babylonian tablet ybc 4652, a problem is given that translates to this equation: x x plus startfraction x over 7 endfraction

seraphim [82]

The correct option is (A). The solution of the equation is x=48.125.

Given an equation $x+\frac{x}{7}+\frac{1}{11}\left(x+\frac{x}{7}\right)=60$ .

A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.

Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get

$x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60$

Now, we will simplify the right-hand side equation by taking LCM, we get

$\begin{aligned}\frac{77x+11x+7x+x}{77}&=60\\ \frac{96x}{77}&=60\end$

Further, we will multiply both sides with 77, we get

77×(96x/77)=77×60

96x=4620

Then, we will divide both sides with 96, we get

96x/96=4620/96

x=48.125

Hence, the solution of the given equation $x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60$ is x=48.125.

Learn more about solution of equation from here brainly.com/question/1477785

#SPJ4

4 0

2 years ago

Round your answer to the nearest hundredth AC=

KatRina [158]

Answer:

AC ≈ 2.96

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos65° = $\frac{adjacent}{hypotenuse}$ = $\frac{AC}{AB}$ = $\frac{AC}{7}$

Multiply both sides by 7

7 × cos65° = AC , thus

AC ≈ 2.96 ( to the nearest hundredth )

7 0

3 years ago

Write the number thirty five million thirty thousand

Shtirlitz [24]

35,030,000 is the correct answer, hope this helps.

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3 years ago

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My nephew, Oliver, got a new Lego set. He has decided to build it with his friend, Josie. It took them 6 hours to build together

Usimov [2.4K]

Answer:

4 hours

Step-by-step explanation:

If it took them together with a total of 6 hours and Oliver is half as fast meaning Jose is faster it will take Jose 4 hours.

A simple equation is

6= 4+2

And the 2 would be Oliver since Oliver is half as fast.

7 0

3 years ago