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2 years ago

What is the distance between the zoo and the library?

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

3 0

The answer is as follow

sin60° = 400√3 / H1, implies H1= 400√3 / sin60° <span>
sin30° = </span>400√3 / H2, implies H2= 400√3 / sin30° <span>
and the if the distance is D,
so we can find D such that D= H2 - H1=</span>400√3 / sin30° - 400√3 / <span>sin60°
D= </span>400√3(1/sin30° - 1/ sin60°)=400√3(2-1.15)=338.11<span>√3</span>

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The given figure is a parallelogram find the value of x and y

e-lub [12.9K]

Answer:

Step-by-step explanation:

In a parallelogram, diagonals bisect each other.

7y - 2 = 5y + 4

7y - 2 - 5y = 4

2y - 2 = 4

2y = 4 +2

2y = 6

y = 6/2

y = 3

3x +2 = 23

3x = 23 - 2

3x = 21

x = 21/3

x = 7

5 0

2 years ago

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Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new eng

Simora [160]

Option A) 14/250 = N/350 is correct.

Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt.

<h3>What is proportionality?</h3>

proportionality can be defined as, how much the number is relatable to other number i.e. x =2y x is two times proportion to y.

Hence, in the question
for 250 cc engine it has 14 inch belt
for 350 cc engine it has N inch belt(let)
proportionality can be given as
14 ∝ 250
N ∝ 350
dividing both equation
N/14=350/250
or 14/250=N/350

Thus, the required proportion is given as 14/250=N/350.

Learn more about proportionality here:
brainly.com/question/8598338

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1 year ago

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Which do you think is quadrilaterals

8090 [49]

Answer: Only the second image

Step-by-step explanation:

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2 years ago

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The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level

aleksandrvk [35]

Answer:

a) mean = 0.2

variance = 0.0391

standard deviation = 0.198

b) The average hurricane is aprox. category 2.* (B)

Step-by-step explanation:

In order to find the mean, variance, and standard deviation, let us for a table for the data:

level x

1 0.411

2 0.278

3 0.221

4 0.080

5 0.010

Calculating the mean ( $\bar{x}$ )

$\bar{x} = \frac{x_1+x_2+x_3+x_4 + x_5}{n}\\\\\bar{x} = \frac{0.411 + 0.278 + 0.221 + 0.080 + 0.010}{5}\\\bar{x} = \frac{1}{5}\\ \bar{x} = 0.2$

∴Mean = 0.2

level x $x- \bar{x}$ $(x - \bar{x})^2$

1 0.411 0.211 0.0445

2 0.278 0.078 0.0608

3 0.221 0.021 0.000441

4 0.080 -0.12 0.0144

5 0.010 -0.19 0.0361

$\sum(x - \bar{x})^2 = 0.1562$

$variance = \frac{\sum(x - \bar{x})^2}{n-1} \\variance = \frac{0.1562}{4} \\variance = 0.0391$

standard deviation = √(variance)

Standard deviation = √(0.0391)

Standard deviation = 0.198

b) the average hurricane is aprox. category 2 (B)

8 0

2 years ago

The area of a sector of a circle with a radius measuring 15 cm is 75(pi) cm2. What is the measure of the central angle that form

anyanavicka [17]

The sector of the circle is bounded by 2 radii, and the measure of the central angle that forms the sector is 120 degrees

<h3>How to determine the central angle?</h3>

The given parameters are:

Area = 75π cm^2
Radius, r = 15 cm

The area is calculated using

Area = α/360 * πr^2

So, we have:

α/360 * π * 15^2 = 75π

Evaluate the exponent

α/360 * π * 225 = 75π

Divide both sides by 75π

α/360 * 3 = 1

Multiply

α/120 = 1

Multiply both sides by 120

α = 120

Hence, the measure of the central angle that forms the sector is 120 degrees