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3 years ago

Make sense of problems. A recliner has an

Mathematics

1 answer:

KIM [24]3 years ago

5 0

Answer:

$382.50

Step-by-step explanation:

Step 1 ) Convert 15% to a decimal : 0.15

Step 2 ) Multiply that by amount (0.15×450=67.50)

Step 3 ) Subtract from amount (450−67.50)=$382.50

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Can there be two answers? or is it just one if not then a and c

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2 years ago

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Probability and Statistics

Rainbow [258]

Answer:

Step-by-step explanation: if you want to obtain the probability that x $\leq$ -3 , then you need to add the probability for the cases x=-3 and x=-5.

p=0.13+0.17= 0.3

answer=0.3

6 0

3 years ago

at a country concert,the ratio of number of the Boys to the number of girls is 2:7 if there are 250 more girls than boys how man

sergey [27]

Answer:

100

Step-by-step explanation:

Ratio is a fraction, so ratio of boys to girls would be written as [let boys be "b" and girls be "g"]:

$\frac{b}{g}=\frac{2}{7}$

Also, there are 250 more girls than boys, so we can write:

g = 250 + b

Lets substitute this into "g" of the ratio we wrote and cross mulitply and solve for b:

$\frac{b}{g}=\frac{2}{7}\\\frac{b}{250+b}=\frac{2}{7}\\7b=2(250+b)\\7b=500+2b\\5b=500\\b=\frac{500}{5}=100$

The number of boys = 100

3 0

3 years ago

PLEASE HELP I WILL GIVE 100+ POINTS

Setler [38]

<h2>Answer: </h2>

1. Area = b × h

A = 5 × 3

A = 15cm².

2. Area = ½(a + b) × h

A = ½(9 + 15) × 15

A = ½ × 24 × 15

A = 12 × 15

A = 180mm².

3. Area = 2(l × b) + l × b

A = 2(12 × 4) + 6 × 3

A = 2 × 48 + 18

A = 96 + 18

A = 114m².

7 0

2 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago