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never [62]
3 years ago
9

Find the value of x. Round the length to the nearest tenth.

Mathematics
2 answers:
levacccp [35]3 years ago
8 0

Answer:

A

Step-by-step explanation:

The angle on the right side of the triangle is 10° ( alternate angle )

Since the triangle is right with hypotenuse x use the sine ratio to solve for x

sin10° = \frac{opposite}{hypotenuse} = \frac{200}{x}

Multiply both sides by x

x × sin10° = 200 ( divide both sides by sin10° )

x = \frac{200}{sin10} ≈ 1, 151.8 m

Makovka662 [10]3 years ago
4 0

Answer:

The correct answer is first option

1151.8 m

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin ?  = Opposite side/Hypotenuse

Cos ? = Adjacent side/Hypotenuse

Tan ? = Opposite side/Adjacent side

<u>To find the value of x</u>

From the figure we can see a right angled triangle.

We can write,

Sin 10 = opposite side/Hypotenuse

 = 200/x

x = 200 * Sin 10

 =  200 / 0.1736

 = 1151.8

The correct answer is first option

1151.8 m

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The price of an item has been reduced by 30%. The original price was $30. What is the price of the item now ?
Anit [1.1K]

Answer:

9

Step-by-step explanation:

30 multiply by 30 and divide by 100

6 0
3 years ago
An office manager spent $4870 on a
Andrews [41]

Answer:

6 chairs

8 desks

Step-by-step explanation:

First, we assume that all 14 items he bought were chairs, if that was to be true then the office manager would spend...

125 x 14 =  1750$

We see that he spent less then he should have so now we start to substitute desks instead of chairs, and we have to keep in mind that if we change 1 chair to a desk then the total will increase by...

515 - 125 = 390$

Now we just find the difference between the needed total and the total that we get if the office manager would by only chairs and then divide the result by 390 in order to find the number of desks, and so we get...

(4870 - 1750) / 390 = 3120 / 390 = 8 desks

And now that we know the number of desks we just subtract the number of desks from 14 and get the number of chairs, and so...

14 - 8 = 6 chairs

7 0
3 years ago
Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m​
lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

3/2 = 1.5 min = x min

so, it takes him 1.5 minutes (90 seconds) to run 500 m.

3 0
2 years ago
Determine the slope of the line 5x + 3y + 12 = 0 .
vazorg [7]
Put ur equation in y = mx + b form because the slope will be in the m position.

5x + 3y + 12 = 0
3y = -5x - 12
y = -5/3x - 4

y = mx + b
y = -5/3x + (-4)......as u can see, the number in the m position (the slope) is -5/3 <===
6 0
3 years ago
Evaluate the expression: -0.75 - (-1 7/8)
m_a_m_a [10]

Answer:

9/8

Decimal form: 1.25

Mixed Number form: 1 1/8

Good luck, hope this helped!

4 0
3 years ago
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