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3 years ago

In this 3-dimensional figure, all angles are right angles. Plane ABF and plane FHG are __________

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

7 0

Answer:

perpendicular..I think so

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WHAT IS (2x2A5)x35= please answer

Anna71 [15]

The answer is 140x^5

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4 years ago

There are 16 coins totaling $1.08. All 16 coins were pennies, nickels, and dimes. The number of dimes is equal to the sum of the

iVinArrow [24]

Answer:

Let the number of nickels be x

Let the number of pennies be y

Let the number of dimes be z

Now z=x+y

FIrst equation:

z+x+y=16

Subsittue for z:

x+y+x+y=16

y=8-x (subsitution)

Hope this helps :)

Step-by-step explanation:

3 0

3 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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4 years ago

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densk [106]

Answer:

Step-by-step explanation:

that should be the answer

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3 years ago

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Natalka [10]

They are round
that would be your best answer

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