All categories

3 years ago

PLEASE HELP ME PRETTY PLEASE

Mathematics

1 answer:

aksik [14]3 years ago

4 0

Answer:

The approximate height of the tree is 4.6 m

Step-by-step explanation:

Distance between the base of tree and arborist = 8 m

So, Base = 8 m

The angle of elevation to one tree is 30°

We are supposed to find What is the approximate height of the tree?

Using trigonometric property:

$tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ}=\frac{Height}{8}\\\frac{1}{\sqrt{3}}=\frac{Height}{8}\\\frac{8}{\sqrt{3}}=Height\\4.618=Height$

So, the approximate height of the tree is 4.6 m

You might be interested in

Best anwser gets brain select all that apply

denpristay [2]

7,4 ×10^ -5

.....................

7 0

3 years ago

Read 2 more answers

10.3.23

Helga [31]

Answer:

The probability that a high school member selected at random is on the swim team is $\frac{9}{40} = 0.225$

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: High school student.

Event B: Is on the swin team.

Probability of selecting a high school student:

Of the 1500 students, 200 are on high school. So

$P(A) = \frac{200}{1500}$

Probability of selecting a high school student who swims:

Of the 1500 students, 45 are high school students who swim. So

$P(A \cap B) = \frac{45}{1500}$

What is the probability that a high school member selected at random is on the swim team?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225$

The probability that a high school member selected at random is on the swim team is $\frac{9}{40} = 0.225$

4 0

3 years ago

Find the

Mazyrski [523]

Answer:

54 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is

A = $\frac{s^2\sqrt{3} }{4}$ ( s is the side length ) then

$\frac{s^2\sqrt{3} }{4}$ = 81 $\sqrt{3}$ ( multiply both sides by 4 to clear the fraction )

s² $\sqrt{3}$ = 324 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

s² = 324 ( take the square root of both sides )

s = $\sqrt{324}$ = 18

Thus

perimeter = 3 × 18 = 54 cm

3 0

3 years ago

A vat of orange juice contains the juice from 734 oranges if a company has 76 vats how many oranges would they use to fill them

Morgarella [4.7K]

Answer:

55,784 oranges

Step-by-step explanation:

To fill the vats, they would need the number of oranges needed to fill one vat multiplied by the amount of vats they have.

$734*76=55784$

So, the company will need a total of 55,784 oranges to fill all 76 vats.

7 0

4 years ago

Read 2 more answers

Find the measure of one interior angle in each regular polygon. round your answer to the nearest 10th if necessary.

dem82 [27]

Answer:

140 degree or Answer D

Step-by-step explanation:

140 degrees is the answer for a Nonagon

8 0

2 years ago