Find the absolute value.
- 150

Answer:

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The hypotenuse = x

Determining the value of x:

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

[tex]cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}[/tex]

[tex]\cos \left(60^{\circ \:}\right)=\frac{1}{2x}[/tex]

[tex]\frac{1}{2}=\frac{1}{2x}[/tex]          ∵ cos (60°) = 1/2

[tex]2x=2[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{2}{2}[/tex]

Simplify

[tex]x=1[/tex]

Thus, the value of hypotenuse x is:

x = 1

Determining the value of y:

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

[tex]y=\frac{\sqrt{3}}{2}[/tex]       ∵  [tex]\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]

Therefore, the value of y is:

[tex]y=\frac{\sqrt{3}}{2}[/tex]      

Summary:

Answer:

50 in a hat. As a decimal, what is the theoretical probability that Tom will choose a slip of paper with a number that is NOT greater than 10 or less than 35?

Step-by-step explanation:

Determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces. Multi-Step Example ... greater is the probability that Gracie will win the game than the probability she ... 7 Tom put slips of paper with numbers 1 to 50 in a hat. ... NOT greater than 10 or less than 35?

Videos

Answer:

50% chance for all circumstances.

Step-by-step explanation:

Answer:

The surface area of given cuboid is: 148 square centimeters

Step-by-step explanation:

Let

l = 5

w = 4

h = 6

The cuboid has 6 rectangular surfaces.

The surface area of a cuboid with height h, length l and width w is given by:

[tex]TSA = 2 ( lw+wh+hl )[/tex]

Putting the values

[tex]TSA = 2(5*4 + 4*6 + 6*5)\\= 2(20+24+30)\\=2(74)\\=148\ cm^2[/tex]

Hence,

The surface area of given cuboid is: 148 square centimeters

Answer:

For the first one: they increase in  by 14, so the three could be 73,87,101

Second: Sequential, increasing by 20, next could be 110, 130, 150

Third: Increase by 27, next three could be 122,149,176

Answer:

300 days of work.

Step-by-step explanation:

He needs to work for 300 days for 2 dollars a day to get 600 dollars:

300 x 2 = 600

Answer:

Onny will have to save for 300 days or 9 months And 3 weeks

Answer: C

Step-by-step explanation:

If a line is perpen to another line, then the other line has the opposite reciprocal of the slope.

y=-(1/4)x+2

slope of the other equation is +4

oly answer with positive slope is C

Answer:

B.260 miles

Step-by-step explanation:

because 75 x 3 = 225 and 225 + 35 is 260.

the 75 x 3 is from her driving on the highway for 3 hours and 225 + 35 is from the answer to the other question plus the side roads for an hour = 260.

Answer:

4^3x5^2, 7^2x9^4

Step-by-step explanation:

Where a^b means a to the power b. When writing on paper b should be small and above and to the right of a. Keep the bottom numbers in order, so 4 before 5 and so on. In a there are 3 4s and 2 5s, hence the answer. Same reasoning for b.

Answer:

a) 4^3 × 5^2

b) 9^4 × 7^2

Step-by-step explanation:

___________

the answers are there

i hope it will help you

Answer:

22

Step-by-step explanation:

Answer:

56ft2 in

Step-by-step explanation:

Answer: You can use the relationship:

y

−

y

0

=

m

(

x

−

x

0

)

With:

m

=

−

1

x

0

=

−

2

y

0

=

3

If you have difficulty have a look at the solution below.

.

.

Answer: $12.75 for the popcorn and $48.00 for the drinks.

Step-by-step explanation:

Answer:OK

Step-by-step explanation:

Step-by-step explanation: basically its 6 + 1 = 7x

6 - 14 = 8x  9 + 4 = 13x

Answer: x = 9

Explanation: In this problem, we're given a triangle and information

about each of its angles and we're asked to find the value of x.

The measures of the angle of a triangle always add to 180 degrees.

So we can setup the equation 6x + 1 + 9x + 4 + 6x - 14 = 180.

Simplifying on the left side, we have 21x - 9 = 180.

Adding 9 to both sides, we have 21x = 189.

Now divide both sides by 21 to get x = 9.

Answer:

13.75

Step-by-step explanation:

6.25+7.50=13.75

Answer:

$11.05

Step-by-step explanation:

The hot dog is $3.55, and the cheeseburger is $7.50. Thus, adding them together, the whole total is $11.05.

Hope this helps

not possible .. what are the dimensions

Answer:

Yes not possible but with dimensions

Hers an example

Step-by-step explanation:

Since the tiles are in cm

2

, we have to convert the dimensions of the hall to cm first. It will be 1500 cm by 1200 cm. Hence the area of the floor is

1500×1200=1800000cm

2

.

Area of each tile is 30×20=600cm

2

. Hence the number of tiles required to cover the floor is:

600

1800000

=3000.

Answer:

No, it is not.

Step-by-step explanation:

I mapped the equation with a graphing calculator. It is not linear.

Pls mark brainliest. Thanks!

Step-by-step explanation:

[tex]the \: volume \: of \: hemisphere = \frac{2}{3} \pi {r}^{3} \\ v = \frac{2}{3} \pi {18}^{3} = 12214.5122 \\ = 12214.5 \: {cm}^{3} [/tex]

Answer:

1072.3

Step-by-step explanation:

Answer: [tex]\dfrac89[/tex] cups of fertilizer is required for 3 bags of soil.

Step-by-step explanation:

Given: For every 9 bags of soil, the number of cups of fertilizers required = [tex]2\dfrac{2}{3}[/tex]

Quantity of fertilizer is proportional to the quantity of soil.

Let x be the number of cup of fertilizer required for 3 bags of soil, then

[tex]\dfrac{x}{3}=\dfrac{2\frac23}{9}\\\\\Rightarrow\ \dfrac{x}{3}=\dfrac{\dfrac83}{9}\\\\\Rightarrow\ x=\dfrac{8}{3\times9}\times3\\\\\Rightarrow\ x=\dfrac89[/tex]

Hence, [tex]\dfrac89[/tex] cups of fertilizer is required for 3 bags of soil.

Answer:

Option a is the correct answer

Step-by-step explanation:

[tex] \huge( \sqrt[x]{2})^{ - 1} = {2}^{ - \frac{1}{x} } [/tex]

Answer:

x - 1/4 = 5/8 (is what i think)

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of months for the 2 health clubs to have the same cost.

We have $44 + $30x = $99 + $25x.

Therefore $5x = $55 and x = 11.

The number of months is 11.