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2 years ago

Is 16% of 40 the same as 40% of 16

Mathematics

1 answer:

astra-53 [7]2 years ago

5 0

Answer:

yes

Step-by-step explanation:

40% of 16 = 6.4

16% of 40 = 6.4

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Mr. Jones took a survey of college students and found that 60 out of 65 students are liberal arts majors. If a college has 8,943

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Should be 5812.95 Students

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3 years ago

What is an expression that equals 1 using the numbers 6, 3, and 5 only once

Gennadij [26K]

Answer: 1 = 6 - 5 + 3 × 0

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2 years ago

baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

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2 years ago

Solve each system of eaquasions x+4y=4 -x+2y=8

bazaltina [42]

X + 4y = 4
-x + 2y = 8

x + 4y - x + 2y = 4 + 8

6y = 12

y = 2

x + 4(2) = 4
x + 8 = 4
x = -4

(x,y)
(-4,2)

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2 years ago

Read 2 more answers

Solving exponential growth and decay problems

Paul [167]

See tha attached pdf file and let me know how useful this answer is.

Download pdf

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2 years ago

Is 16% of 40 the same as 40% of 16​

Is 16% of 40 the same as 40% of 16