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Answer:
$37.00
Step-by-step explanation:
Tickets:
4 friends, each ticket costs $8
4*8=32
$32
Sodas:
4 friends, each soda costs $3.75
4*3.75=15
$15
Total:
tickets + sodas
32+15=47
$47
Coupons:
2 friends each had a coupon for $5 off
2*5=10
$10 discount
Grand Total:
total-discount
47-10=37
$37.00
width = x
length = 2x+8
area = l x w
x<span>(2x+8)</span>=120
<span><span>2<span>x^2</span>+8x−120=0 </span>
</span>
<span><span><span>x^2</span>+4−60=0 </span></span>
<span><span><span>(x+10)</span><span>(x−6)</span>=0</span>
</span>
<span><span>x=−10 and x=6 </span></span>
<span><span> width has to be a positive number</span></span>
Width = <span>6
</span> inches.
Answer:
10 cm
Step-by-step explanation:
1 decimeter is equal to 10⁻¹ meters.
1 meter is equal to 10² centimeters. We can use a conversion fraction to find the centimeters corresponding to 10⁻¹ meters.
10⁻¹ m × (10²cm/1 m) = 10 cm
1 dm = 10⁻¹ m
10⁻¹ m = 10 cm
Due to the transitive property, 1 decimeter is equal to 10 centimeters.
Answer:
Step-by-step explanation:
In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.
It should be clear that


sin(2α) = 2 sinα cosα
So,

See what you can do with the others.