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blagie [28]
3 years ago
15

Find the values of x and y for which the lines are parallel.

Mathematics
1 answer:
prisoha [69]3 years ago
5 0
This problem is accompanied by a figure.

You can infere these relationships from the figure

(x-5)° = 74° => x = 74 + 5 = 79°

(x-5)° + 58° + (y-1)° = 180 ° => 74 + 58 + y-1 = 180 =>

y = 180 + 1 - 58 - 74 = 47°

Answer: x = 79°, y = 47°. This is the option d)


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Given right triangle QRS, what is the value of sin(30°)? StartFraction StartRoot 3 EndRoot Over 3 EndFraction One-half StartFrac
baherus [9]

Answer:

Option 2: \sin(30)=\frac{1}{2}

Step-by-step explanation:

Given:

From the triangle shown below;

A triangle QRS with angle QRS = 90°, ∠QSR = 30°.

Side QR = 5, SQ = 10 and RS = 5√3

Now, we know from trigonometric ratio that,

\sin (A) = \frac{Opposite\ side}{Hypotenuse}

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

\sin(\angle QSR)=\dfrac{QR}{SQ}\\\\\\\sin(30)=\dfrac{5}{10}\\\\\\\sin(30)=\dfrac{5}{2\times 5}=\dfrac{1}{2}

Therefore, the value of sine of 30° is one-half. So, second option is correct.

6 0
3 years ago
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Terry drove 310 miles in 5 hours at a constant speed. How long would it take him to drive 403 miles at the same speed?
NeX [460]
Well, first, find-out how fast he was going the first time, by dividing 310 by 5. This gives you 62 mph. Now, divide 403 miles by 62 miles per hour in order to find-out how long it would take him to drive 403 miles, if he is constantly doing 62 mph. Your final answer is six-and-a-half hours.
6 0
4 years ago
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Evaluate the expression for<br> x = 6, y = -10:<br> 3x - 7y
Natasha_Volkova [10]

Answer:

88

Step-by-step explanation:

hello,

we need to replace x by 6 and y by -10 so it comes

3*(6)-7*(-10)

= 18 + 70 = 88

hope this helps

8 0
3 years ago
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A piece of copper wire of length 200 m has a diameter of 1.2 mm.
vova2212 [387]

The volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

Given that, the length of copper wire=200 m=200000 mm and the diameter of the copper wire=1.2 mm.

We need to find the volume of the copper wire.

<h3>What is the formula to find the volume of the cylinder?</h3>

The formula to find the volume of a cylinder is πr²h.

Now, the volume of the copper wire=πr²h=\frac{22}{7} \times (0.6)^{2} \times 200000=2,26,080 mm³=226.080 cm³

If the density of copper is 8.9 g/cm³, find the mass of the wire.

We know that Density=\frac{Mass}{Volume} }.

⇒8.9 g/cm³=\frac{Mass}{226.080}

⇒Mass=2,012.112 g/cm³

Therefore, the volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

To learn more about the volume of the cylinder visit:

brainly.com/question/16134180.

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2 years ago
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