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1 year ago

Find the length of side BC. Give your answer to 3 significant figures. C A 71° B

Mathematics

2 answers:

lana66690 [7]1 year ago

5 0

Answer:

19.4°

Step-by-step explanation:

I put the image of how I did it if you don't understand let me know

Vikki [24]1 year ago

4 0

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

using the cosine ratio in the right triangle

cos71° = $\frac{adjacent}{hypotenuse}$ = $\frac{AB}{BC}$ = $\frac{6.3}{BC}$ ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = $\frac{6.3}{cos71}$ ≈ 19.4 cm ( to 3 sig. figs )

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2 years ago

Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is

bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is $m=\frac{6-1}{2-3}$

$\implies m=\frac{5}{-1}=-5$ .

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is $m=\frac{4-5}{-2- -2}=\frac{-1}{0}$ = undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is $m=\frac{10-8}{2-0}=\frac{2}{2}=+1$

A positive slope means this line rises

24) The points are (-3,-3), (3,1)

The slope is $m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}$

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: $m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2$

A negative slope means this line falls

26) The points are (-2,-8) , (5,-8).

Slope: $m=\frac{-8--8}{5--2}=\frac{0}{7}=0$

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: $m=\frac{3-2}{5--1}=+\frac{1}{6}$

A positive slope means this line rises

28) The points are: $(\frac{1}{2},4)$ , (-1,4)

Slope: $m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0$

A zero slope means the line is horizontal

29) The points are: $(4,\frac{1}{2}), (5,\frac{1}{4})$

Slope: $m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}$

A negative slope means this line falls.

6 0

3 years ago

What is the interest rate if the principal is $25,000, the interest is $10,875, and the time is 15 years?

mel-nik [20]

Answer:

interest rate = 2.9%

Step-by-step explanation:

the principal is $25,000, the interest is $10,875

Number of years = 15

We use simple interest formula

I = P*r*t

Where I is the interest amount=10,875

P is the principal amount= 25000

r is the interest rate = r

t is the number of years = 15

Plug in all the value in the formula

I = P*r*t

10875 = 25000 * r * 15

10875 = 375000 * r

Divide both sides by 375000

r=0.029

We always write rate of interest in percentage so we multiply by 100

0.029 * 100= 2.9%

So interest rate = 2.9%

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2 years ago