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3 years ago

Which weighs more, a pound of cotton or a pound of bricks?

Mathematics

1 answer:

makvit [3.9K]3 years ago

7 0

Is this a trick question? They're both a pound.

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IF Triangle DEF JKL, find KL.

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{KL}{EF}$ = $\frac{JK}{DE}$ , substitute values

$\frac{6x+3}{x+11}$ = $\frac{25}{10}$ ( cross- multiply )

10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides

60x + 30 = 25x + 275 ( subtract 25x from both sides )

35x + 30 = 275 ( subtract 30 from both sides )

35x = 245 ( divide both sides by 35 )

x = 7

Then

KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b

3 0

2 years ago

How do you this question (pre-cal)

Novay_Z [31]

The goal to proving identities is to transform one side into the other. We can only pick one side to transform while the other side stays the same the entire time. The general rule of thumb is to transform the more complicated side (though there may be exceptions to this guideline).

So I'll take the left hand side and try to turn it into $\csc^2( B )$

One way we can do that is through the following steps:

$\frac{\tan(B) + \cot(B)}{\tan(B)} = \csc^2(B)\\\\\frac{\tan(B)}{\tan(B)} + \frac{\cot(B)}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\frac{1}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\cot(B) = \csc^2(B)\\\\1 + \cot^2(B) = \csc^2(B)\\\\1 + \frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)}{\sin^2(B)}+\frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)+cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{1}{\sin^2(B)} = \csc^2(B)\\\\\csc^2(B)=\csc^2(B) \ \ {\Large \checkmark}\\\\$

Since we've shown that the left hand side transforms into the right hand side, this verifies the equation is an identity.

4 0

3 years ago

Please help! picture attached :)

Radda [10]

Answer:

y=-3x+4

Step-by-step explanation:

im assuming that you need the equation of the table

to find slope, y2-y1/x2-x1 10-4/-2-0

6/-2=-3 slope=-3

y=mx+b just sub in the numbers from a point in the table

10=-3(-2)+b

10=6+b

b=4

y=-3x+b

4 0

2 years ago

Convert 240 yards per hour (yd/h) to yards per minute (yd/min).

krek1111 [17]

9514 1404 393

Answer:

4 yd/min

Step-by-step explanation:

Change 1 hour to 60 minutes.

(240 yd)/(1 h) = (240 yd)/(60 min) = 4 yd/min

6 0

3 years ago

Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 b

zvonat [6]

She could use anything, but it would have to consist of 3:12, so maybe like 3 flowers and 12 beads? As long as it is 3 and 12 of something, she is fine.

3 0

3 years ago

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