Given the diagram below, Philip thinks the value of x is 9, but Mia thinks the value of x is 12. Which student is correct? Justi
fy your answer.
1 answer:
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Answer:
4.
5.
Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,
Where (a) is the side opposite the (30) degree angle, () is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (). Thus the following statement can be made,
The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,
5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,
The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,
Answer: In fraction :
In Decimal : 0.746
Step-by-step explanation:
Given : A ream of paper contains 500 sheets of paper.
Norm has 373 sheets of paper left from a ream.
Then, the fraction of ream Norm has will be :-
To convert in decimal we divide 373 by 500, we get 0.746.
Hence, The portion of a ream Norm has as = or 0.746
Answer:
Step-by-step explanation:
We have
and
We want to find (f+g)(x).
By the algebraic properties of polynomial functions,
This simplifies to
We can't simplify further, hence the simplest form