Divide 50 marbles into 3 groups so that their ratio is 2:3:5

Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a

SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

$\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}$

where $\theta$ represents the angle of reference.

Plugging in the values from the triangle.

$\tan 35\° =\frac{BC}{AC}$

$\tan 35\° =\frac{70}{AC}$

Multiplying both sides by AC.

$AC\times \tan 35\° =AC\times \frac{70}{AC}$

$AC\times \tan 35\° =70$

Dividing both sides by $\tan 35\°$

$\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}$

∴ $AC=99.97\ m\approx 100\ m$

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

7 0

3 years ago

What is the value of 4 x minus 7 when x = 4?

Stolb23 [73]

Answer: 9

Step-by-step explanation: Here, we have the expression 4x - 7 and we want to evaluate the expression when x is equal to 4.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since x is equal to 4, we have 4(4) - 7.

4(4) is equal to 16.

So we have 16 - 7 which is equal to 9.

So the value of our expression when x is equal to 4 is 9.

6 0

2 years ago

Read 2 more answers

The shoe store expected to sell at least 95 pairs of shoes one weekend, but they only sold 77 pairs. What was the approximate pe

Gwar [14]

The error of percentage is the amount of error over the original amount.

In this case it is 22/95 (not 22 over 77 because 77 is not the original amount they expected to sell.

22/95 = .2315 or 23.2% to the nearest tenth of a percent
Perhaps your teacher just wants 23% as an the approximate error.

7 0

3 years ago

Read 2 more answers

.question 9a data analyst is using statistical measures to get a better understanding of their data. what function can they use

MakcuM [25]

Planning, designing, gathering data, analyzing, creating relevant interpretations, and publishing the research findings are all statistical approaches that go into conducting a study.

The statistical analysis lends meaning to the abstract numbers, giving the data some life. Only when appropriate statistical tests are applied will the results and inferences be accurate. Science's field of statistics deals with gathering, organizing, analyzing, and extrapolating data from samples to the entire population. This necessitates the use of an acceptable statistical test, an adequate study design, and an appropriate study sample selection. However, if we want additional information about these, a consulting company may be able to assist us. we will benefit more from Silver Lake Consulting for our project.

Learn more about Statistical here-

brainly.com/question/23091366

#SPJ4

6 0

1 year ago

a map has a scale of 1 : 50000. Bridgetown is 16.7km away from Littleton. What is the distance between these towns on the map?

lisov135 [29]

Answer:

if it is 1 cm answer is 3340cm

Step-by-step explanation:

1m = 100 cm

500m = 50000cm

change 16 .7 to m

16700

divide

16700/500

33.4

change to cm = 3340

3 0

3 years ago