All categories

3 years ago

Greatfull in advance :)

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

160 m

Step-by-step explanation:

For the 15-deg angle, h is the opposite leg.

The hypotenuse is 628 m.

The trigonometry ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

$\sin 15^\circ = \dfrac{h}{628~m}$

$h = 628~m \times \sin 15^\circ$

$h = 162.54~m$

Rounded to 2 significant figures:

h = 160 m

You might be interested in

Gina Wilson unit 6 homework 4

Margaret [11]

Answer:

10) 57.6
11) 27.3
12) 12.75
13) 10
14) 14
15) 5

Step-by-step explanation:

If three or more parallel lines are cut by two transversals, then they divide the transversals proportionally.

Using the above we find the value of x

10.

x/48 = 30/25
x/48 = 6/5
x = 48*1.2
x = 57.6

11.

x/ (49 - 28) = 36.4/28
x/21 = 9.1/7
x = 21*9.1/7
x = 27.3

12.

(2x + 6)/36 = 52.5/60
(x + 3)/18 = 7/8
x + 3 = 18*7/8
x + 3 = 15.75
x = 12.75

13.

(x - 3)/21 = (x - 1)/27
9(x - 3) = 7(x - 1)
9x - 27 = 7x - 7
9x - 7x = 27 - 7
2x = 20
x = 10

14.

(2x + 5)/22 = (x + 10)/16
8(2x + 5) = 11(x + 10)
16x + 40 = 11x + 110
16x - 11x = 110 - 40
5x = 70
x = 14

15.

(7x - 11)/(4x - 2) = 20/(35 - 20)
(7x - 11)/(4x - 2) = 4/3
3(7x - 11) = 4(4x - 2)
21x - 33 = 16x - 8
21x - 16x = 33 - 8
5x = 25
x = 5

5 0

3 years ago

This question is called "Create equations to solve for missing angles".

Anastasy [175]

Answer:

Step-by-step explanation:

both angles have 2 straight lines that intersect in the middle, this is called vertical angles which means, according to the law, that each angle is equal to the other so 10x + 10 = 110. Therefore the answer is D

4 0

3 years ago

Read 2 more answers

A baseball team has 4 pitchers, who only pitch, and 16 other players, all of whom can play any position other than pitcher. F

ivolga24 [154]

Answer:

2,075,673,600 batting orders may occur.

Step-by-step explanation:

The order of the first eight batters in the batting order is important. For example, if we exchange Jonathan Schoop with Adam Jones in the lineup, that is a different lineup. So we use the permutations formula to solve this problem.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$