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V125BC [204]
3 years ago
9

To find the distance across a lake, a

Mathematics
2 answers:
Liula [17]3 years ago
7 0

Answer:

608 yard

Step-by-step explanation:

tan 50 degrees =a/510

a=tan 50 degrees x510

=608 yards

Nesterboy [21]3 years ago
6 0

The distance across the lake, a is 611 yards

<h3>Right angle triangle:</h3>

Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,

Therefore,

tan 47° = opposite / adjacent

tan 47° = a / 570

cross multiply

a = 570 tan 47°

a = 570 × 1.07236871002

a = 611.250164714

a = 611 yards

learn more on right triangle here: brainly.com/question/18450490

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An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation
Lelu [443]

Answer:

The inequality f>40 represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

h=60+2.5f

Where, h is woman's height in centimeters and f is length of the femur in centimeters.

If woman's height is greater than 160cm, then

h>160

60+2.5f>160

Substract 60 from both sides.

2.5f>100

Divide both sides by 2.5.

f>40

Therefore the inequality  f>40 represents the lengths of the femur for which the woman had a height greater than 160cm.

5 0
3 years ago
Y = 6x - 13<br> 5x - 2y = 5<br> Using the substitution method
tankabanditka [31]

Answer:

x=3, y=5

Step-by-step explanation:

7 0
3 years ago
Factor completely 64x2 − 49. (1 point)
Roman55 [17]

Answer:

(8x-7)(8x+7)

Step-by-step explanation:

This is a difference of squares polynomial of the form a^2-b^2=(a+b)(a-b). Since 64 and 9 are both perfect squares then take the square root of each so a=8 and b=7.

Factors:(8x-7)(8x+7)

6 0
3 years ago
21) Find x. Show your work.
shepuryov [24]

Answer:

x = 21

Step-by-step explanation:

Givens:

Every triangle's interior angles add up to 180°

The triangle has a right angle.

The triangle is isosceles (two equal sides and two equal angles)

Let's make an equation with the information we have already.

2 × (2x + 3) + 90 = 180

4x + 6 + 90         = 180

4x + 96                = 180

4x                         = 84

x                           = 21

4 0
3 years ago
How to write 6/8 as a decimal ?
Korvikt [17]

all have to do is divide the fraction to make it into a decimal ,

6/8= 0.75

6 0
3 years ago
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