For # 1, the answer will be 1 because of the exponential rule
.
#2, the answer is going to be
because of the exponential rule
.
#3. I'm not sure that this could be simplified any further.
#4 To get the answer to this question, we must apply the distributive property, along with the exponential rule
. When we apply these properties, we'll get
For the other questions, they all apply the Laws of Exponents.
Answer:
The value of x is 30°
Step-by-step explanation:
X° + 90° = 129° (Exterior angle property)
x° = 129° - 99° = 30°
<u>x°</u><u> </u><u>=</u><u> </u><u>3</u><u>0</u><u>°</u>
Hope it helps:)
If angle "a" measures 42° the the other angles that will be congruent to angle "a" and also measure 42° will be angle d, angle e and angle h .
In the question ,
a figure is given ,
From the figure we can see that 2 parallel lines are cut by a transversal .
So ,
angle a = angle d .......because vertically opposite angles .
angle a = angle e ...because corresponding angles are equal in measure
also
angle e = angle h .... because vertically opposite angles .
Therefore , If angle "a" measures 42° the the other angles that will be congruent to angle "a" and also measure 42° will be angle d, angle e and angle h , the correct option is (a) .
Learn more about Angles here
brainly.com/question/1597341
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Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is
where the b's represent the bases and the h represents the height. Filling in our values gives us
Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet
Answer:
3/8
Step-by-step explanation:
First,
convert 3/4 of an hour to minutes;
If 1 hr = 60 mins
then 3/4 of 1hr = ![\frac{3}{4} *60\\ \\ =45 mins.Next, If 1/2 of 3/4 was spent practicing recital piece, it means that it is half of 45 mins;1/2 *45 = 22.5 minsLastly, convert the 22.5 mins into a fraction of an hour;22.5/60 = [tex]\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A60%5C%5C%20%5C%5C%20%3D45%20mins.%3C%2Fp%3E%3Cp%3ENext%2C%20%3C%2Fp%3E%3Cp%3EIf%201%2F2%20of%203%2F4%20was%20spent%20practicing%20recital%20piece%2C%20it%20means%20that%20it%20is%20half%20of%2045%20mins%3B%3C%2Fp%3E%3Cp%3E1%2F2%20%2A45%20%3D%2022.5%20mins%3C%2Fp%3E%3Cp%3ELastly%2C%20convert%20the%2022.5%20mins%20into%20a%20fraction%20of%20an%20hour%3B%3C%2Fp%3E%3Cp%3E22.5%2F60%20%3D%20%5Btex%5D%5Cfrac%7B3%7D%7B8%7D)
