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Gre4nikov [31]
3 years ago
11

Find the value of the variable.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

Step-by-step explanation:

cos ● = adjacent / hypotenuse

cos ● = 3 / x

cos 60 = 3 / x

0.5 = 3/ x

0.5x = 3

× = 6

tan ● = opposite / adjacent

tan 60 = y / 3

1.73 = y / 3

1.73 (3) = y

y = 5.19

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Which expression is equivalent to (4 x cubed) (2 x) superscript negative 4?
Shalnov [3]

Answer:

section covers somplifying algebraic expressions

Step-by-step explanation:

<h3>(4x^{3})(2x^{-4}) = \frac{4x^{3} }{2x^{4} } = 2/x⇒</h3>
7 0
2 years ago
Draw a number line to represent the inequality.<br> 8&gt;x
Lilit [14]
Thts the answer because 8 is bigger than X the arrow goes to the left because 8 is bigger than numbers 1-7

6 0
4 years ago
Round 78482 to the nearest thousand
shtirl [24]

Answer:

78,000

Explanation:

8,000 is in the thousands place, the 4 in the hundreds place is too low to round it up to 9,000, so it gets rounded down to 78,000.

6 0
3 years ago
Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave
USPshnik [31]

Answer:

Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be x.

And the time Julio travel by walking be y.

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

x+y=7

y=7-x\ \ \ .......(1)

So, the distance travelled by bike:

Speed × time

8\times x=8x

And, the distance travelled by walking:

Speed × time

7\times y=7y

Now, the total distance travelled by Julio:

8x+7y=52

Substituting the value of x from equation (1) we get:

8x+7(7-x)=52

8x+49-7x=52\\\\x+49=52

<em>Subtracting both sides by 49 we get:</em>

x=3.

<em>The time Julio travelled with bike = 3 hours.</em>

Now, to get the time Julio travelled by walking by substituting the value of x:

y=7-x\\\\y=7-3\\\\y=4\ hours.

<em>The time Julio travelled by walking = 4 hours.</em>

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0
3 years ago
A boat is carried with the current at an angle of 43 degrees to the shore. if the river is approx. 15 meters wide, how far does
mylen [45]

Answer:

22 m

Step-by-step explanation:

The computation of the how much far does the boat travel is as follows:

sin 43 degrees = 15 ÷ d

d = 15 ÷sin 43 degrees

= 15 ÷ 0.6820

= 21.99

= 22 m

Hence, the how much far does the boat travel is 22 m

We simply applied the above formula so that the correct value could come

The same is to be considered

8 0
3 years ago
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