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2 years ago

The graph below has a slope of -1. True or False?

Mathematics

1 answer:

Alla [95]2 years ago

6 0

That is false. The slope is -2.

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Simplify the expression by using a double-angle formula. 2 sin 31°cos 31°

qwelly [4]

The double angle formula for the sine is

$\sin(2x) = 2\sin(x)\cos(x)$

The right hand side is exactly your expression, where $x = 31^\circ$

So, rewriting the expression from right to left, we have

$2\sin(31^\circ)\cos(31^\circ) = \sin(2\cdot 31^\circ) = \sin(61^\circ)$

6 0

2 years ago

Leila, Charlie, and Joe have a total of $144 in their wallets. Joe has 4 times what Leila has. Charlie has $6 more than Leila. H

ollegr [7]

Answer:

The amounts of money each has are:

Joe = $92

Charlie = $29

Leila = $23

Step-by-step explanation:

To solve this, we will convert the statements into an equation, and use that to solve for the unknowns, as follows:

total amount = $144

Let Leila's share be S

Joe's share = 4 times Leila's = 4S

Charlie's share = $6 + Leila's share = 6 + S

Joe's share + Charlie's Share + Leila's Share = $144

4S + (6 + S) + S = 144

4S + 6 + S + S = 144

4S + 2S + 6 = 144

6S + 6 = 144

6S = 144 - 6 = 138

S = 138 ÷ 6 = $23

Therefore Leila's share 'S' = $23

Joe share= 4S = 4 × 23 = $92

Charlie's share = 6 + 23 = $29

8 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Readme [11.4K]

Answer:

3/11

Step-by-step explanation:

Divide both the numerator and denominator by 2.

$\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}$

8 0

2 years ago

What's the result of 240 increased by 5%

garri49 [273]

252 is the answer for your question

3 0

2 years ago

Read 2 more answers

How would I translate this algebraic expression?

FromTheMoon [43]

Answer: $\frac{5}{7} (2+\frac{6}{r} )$

Step-by-step explanation:

Since, the quotient of 6 and r = $\frac{6}{r}$

The sum of two and the quotient of 6 and r

= $(2+\frac{6}{r} )$

And, Five-sevenths of the sum of two and the quotient of 6 and r

= $\frac{5}{7} (2+\frac{6}{r} )$

Thus, the required expression is, $\frac{5}{7} (2+\frac{6}{r} )$

3 0

2 years ago