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3 years ago

14

A cedar board is 2 inches long and 8 feet long. You will need to cut down the length of the board into 1 1/3 inches long. How ma

ny pieces can u cut from an 8 inch long board

1 answer:

My name is Ann [436]3 years ago

4 0

Answer:

You will be able to cut at least 6 pieces

Step-by-step explanation:

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Find the value of each variable.<br>

V125BC [204]

Answer:

see explanation

Step-by-step explanation:

Using the exact values of the trigonometric ratios

sin60° = $\frac{\sqrt{3} }{2}$ , cos60° = $\frac{1}{2}$

sin45° = cos45° = $\frac{1}{\sqrt{2} }$

Using the sine ratio on the right triangle on the left

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{4\sqrt{3} }$ = $\frac{\sqrt{3} }{2}$

Cross- multiply

2a = 4 $\sqrt{3}$ × $\sqrt{3}$ = 12 ( divide both sides by 2 )

a = 6

Using the cosine ratio on the same right triangle

cos60° = $\frac{adjacent}{hypotenuse}$ = $\frac{c}{4\sqrt{3} }$ = $\frac{1}{2}$

Cross- multiply

2c = 4 $\sqrt{3}$ ( divide both sides by 2 )

c = 2 $\sqrt{3}$

------------------------------------------------------------------------------------------

Using the sine/cosine ratios on the right triangle on the right

sin45° = $\frac{a}{b}$ = $\frac{6}{b}$ = $\frac{1}{\sqrt{2} }$

Cross- multiply

b = 6 $\sqrt{2}$

cos45° = $\frac{d}{b}$ = $\frac{d}{6\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$

Cross- multiply

$\sqrt{2}$ d = 6 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

d = 6

------------------------------------------------------------------------------------------------

a = 6, b = 6 $\sqrt{2}$ , c = 2 $\sqrt{3}$ , d = 6

3 0

3 years ago

In the triangle ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.

Basile [38]

Step-by-step Answer:

AN is height, so A is perpendicular to BC. (See image attached).

BN = 18

AN = 24

AC = 40

All as labeled.

ABN is a right triangle, with AB = sqrt(18^2+24^2)=sqrt(324+576)=30

ACN is a right triangle, with CN = sqrt(40^2-24^2)=sqrt(1600-576) = 32

=>

BC = BN + NC = 18 + 32 = 50

8 0

3 years ago

Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets t

Alexeev081 [22]

Answer:

Choice B) No.

Step-by-step explanation:

When she starts , she does a sit-up every 222 seconds.

But as she gets tired, each sit-up takes longer and longer to do.

It means, each sit-up takes more time than she did at beginning.

So, it is NOT proportional to the time.

If it is proportional, she should take constant number of sit-ups even she get tired.

7 0

3 years ago

How to do this and I need help pls

tatuchka [14]

Answer:

$9$

Step-by-step explanation:

$f(x) = (x - 2)^{2} \\ f(5) = (5 - 2)^{2} \\ f(5) = {(3)}^{2} \\ f(5) = 3 \times 3 \\ f(5) = 9$

7 0

3 years ago

Brandon decided to make his own hand sanitize. To be effective and sanitizer

icang [17]

Answer:

Step-by-step explanation:

The water has to be 100% - 60% = 40%

100% represents both water alcohol (I think that's what you meant).

40% of 250 = 40/100 * 250 = 10000/100 = 100 mL

So 100 mL = water

150 mL = alcohol.

4 0

3 years ago