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3 years ago

7

Ms.Hatcher bought a pencil decoration shown below for her bulletin board. If a= 11 in and b= 25in what is the area of this penci

l

1 answer:

andriy [413]3 years ago

3 0

Answer:

The area of the pencil is 36 inches.

Step-by-step explanation:

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Please help me!!!!!!!!!!!!!

monitta

Answer: see proof below

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

Use the following Half-Angle Identities: tan (A/2) = (sinA)/(1 + cosA)

cot (A/2) = (sinA)/(1 - cosA)

Use the Pythagorean Identity: cos²A + sin²B = 1

Use Unit Circle to evaluate: cos 45° = sin 45° = $\frac{\sqrt2}{2}$

<u>Proof LHS → RHS</u>

Given: $cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o$

Rewrite Fraction: $cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o$

Half-Angle Identity: $\dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}$

Substitute: $\dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}$

Simplify: $\dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}$

$=\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}$

$=\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)$

$=\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}$

$=\dfrac{4}{2}$

= 2

LHS = RHS: 2 = 2 $\checkmark$

7 0

4 years ago

What is the difference quotient of the function f(x)=12^x+1 ?

seraphim [82]

Answer:

The Answer is D or 12^x+1 (12^h - 1) / h

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

5 yards 2 feet × 2=

klio [65]

Answer:

11 1/3 yards or 34 feet

6 0

4 years ago

Read 2 more answers

Solve using elimination method <br><br>-3x + 5y = 8 <br>-2x + 7 y = -2

Slav-nsk [51]

Answer:

<em>x = - 6</em>

<em>y = - 2</em>

Step-by-step explanation:

<em>-3x + 5y = 8 | ×(-2)</em>

<em>-2x + 7 y = -2 | ×3</em>

<em />

<em>6x - 10y = - 16</em>

<em>- 6x + 21y = - 6</em>

<em>add</em>

<em>6x - 6x - 10y + 21y = - 16 - 6</em>

<em>11y = - 22</em>

<em>y = - 22 : 11</em>

<em>y = - 2</em>

<em>replace y</em>

<em>- 2x + 7(-2) = - 2</em>

<em>- 2x - 14 = - 2</em>

<em>- 14 + 2 = 2x</em>

<em>2x = - 12</em>

<em>x = - 12 : 2</em>

<em>x = - 6</em>

6 0

4 years ago

A)7/25<br> B)24/25<br> C)25/7<br> D)25/24 <br> PLEASE HELP ME !!

sp2606 [1]

It's B since sin is opposite divided by hypotenuse, so find the hypotenuse by using pythag therom and you will get 25, divide opposite of angle C which is 24 by hypotenuse which is 25

7 0

3 years ago