Answer = 10=21
When you’re multiplying numbers with exponents with the same base (10 is the base) all you have to do is add the exponents
18 and 3 are the exponents we’re dealing with, so we add them and get 21. The base stays the same
10^18 x 10^3 = 10^21
Answer = 10=21
Answer: 44 boys and 40 girls
Step-by-step explanation:
x = number of girls
x + 4 = number of boys
x + x + 4 = 84
2x + 4 = 84
2x = 80
x = 40
84 - 40 = 44
Answer:
65°
Step-by-step explanation:
From the figure we can see a circle.
It is given that, measure of arc AD = 80° therefore m<ACD = 80/2 = 40°
Also m<D = 75°
<u>To find the measure of <DCQ</u>
We know that, an angle made by a tangent and chord is equal to the angle made by the angle made by the chord on other side of the circle.
Here m<DCQ = m<CAD
By using angle sum property,
m<CAD + m<ACD + m<D = 180
m<CAD + 40 + 75 = 180
m<CAD + 115 = 180
m<CAD = 180 - 115 = 65°
Therefore m<DCQ = m< CAD = 65°
The correct answer is third option.
For this case we must factor 
of the following expression:
By law of signs of multiplication it is fulfilled that:
So we have to:
Thus, by factoring we have:
Answer:
Pythagoren theorem states that a²+b²=c². If A is 8.5 and B is 11, you'd get
193.25=c²
Square root both sides to find out that the diagonal is 13.901 inches long
