3 years ago

Place a point on the number line to determine the approximate value of . Round to the nearest tenth

Mathematics

1 answer:

adoni [48]3 years ago

7 0

The approximate value of what?

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The measures of the angles of a triangle are (3x – 100)°, (x – 10)°, and (x – 10)°.

statuscvo [17]

Answer:

x = 60

largest angle = 80°

Step-by-step explanation:

the sum of all three angles in a triangle = 180°

(3x - 100) + (x - 10) + (x - 10) = 180

simplify:

5x = 300

x = 60

angles are 80°, 50°, and 50°

7 0

3 years ago

A mechanic makes $350 /week. If 20% of his income is deducted for taxes, how muchd id the mechanic bring home as pay?

klemol [59]

Answer:

$280

Step-by-step explanation:

Step one

Given data

A mechanic makes $350 /week

20% of his income is deducted for taxes

Required

the mechanic's take-home pay for the week

Step two:

let us find 20% of $350

=20/100*350

= 0.2*350

=$70

Therefore the take-home pay is

= 350-70

= $280

8 0

3 years ago

Which function is represented by the values in the table below?

lorasvet [3.4K]

Your answer should be A

7 0

3 years ago

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X-3/18=12/9<br> what is the answer? It is proportions.

olga nikolaevna [1]

Answer:

x=3/2

Step-by-step explanation:

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3 years ago

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What is the exact value of sin 45° ?<br><br>enter your answer, as a simplified fraction.

Ne4ueva [31]

Look at the picture.

Use the Pythagorean theorem:

$b^2=a^2+a^2\\\\b^2=2a^2\to b=\sqrt{2a^2}\\\\b=\sqrt{a^2}\cdot\sqrt2\\\\b=a\sqrt2$

$\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\theta=45^o,\ opposite=a,\ hypotenuse=a\sqrt2$

substitute

$\sin45^o=\dfrac{a}{a\sqrt2}=\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2}$

Answer: $\sin45^o=\dfrac{\sqrt2}{2}$

7 0

3 years ago