Add the fractions. 1/2+ 1/12

Please help The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What i

Keith_Richards [23]

Answer:

The full steel bead tire would weigh 1.5432358353 pounds, or about 1.8. The lighter wheel weighs 1.5432358353 pounds, or about 1.5. Together they weigh 3.086471671, or about 3.1 pounds.

7 0

3 years ago

You deposit $100 in a savings account. The account earns 11% simple interest per year.

Gnesinka [82]

Answer:

Step-by-step explanation:

<h3>principle ( p ) = $100</h3><h3>time ( t ) = 10 years </h3><h3>rate ( r ) = 11%</h3><h3>simple interest = (p × r × t)÷ 100</h3><h3> = ( $100 × 11 × 10 )÷ 100</h3><h3> = 11000 ÷ 100</h3><h3> = $110</h3>

<h3>interest = simple interest - principle </h3><h3>interest = $110 - $100</h3><h3> = $10</h3>

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5 0

3 years ago

Save me the headache

maxonik [38]

$(9\sin2x+9\cos2x)^2=81$

Taking the square root of both sides gives two possible cases,

$9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1$

or

$9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1$

Recall that

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

If $\alpha=2x$ and $\beta=\dfrac\pi4$ , we have

$\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}$

so in the equations above, we can write

$\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1$

Then in the first case,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi$

(where $n$ is any integer)

$\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi$

$\implies x=n\pi\text{ or }\dfrac\pi4+n\pi$

and in the second,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi$

$\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi$

$\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi$

Then the solutions that fall in the interval $[0,2\pi)$ are

$x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4$

5 0

3 years ago

Read 2 more answers

2X minus one equals five

stepan [7]

2x-1=5
2(3)-1=5
6-1=5
5=5

x=3

7 0

3 years ago

Read 2 more answers

(20 x 40) x 14 = ?

fredd [130]

To solve this problem, we must use the order of operations outlined by PEMDAS, which tells us that we should simplify or compute parentheses first, then exponents, multiplication, division, addition, and finally subtraction.

Using this method, we have to perform the multiplication inside the parentheses first.

(20 * 40) * 14

800 * 14

Finally, we must perform the final operation to simplify this expression, which is multiplication.

800 * 14 = 11200

Therefore, your final answer is 11200.

Hope this helps!

3 0

3 years ago

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