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,
<u>Answer:</u>
<em>Number of calories in one slice of a 14 inch pizza is 189.825.
</em>
<u>Step-by-step explanation:</u>
Given that 6 inch pizza has <em>650 calories.
</em>
Therefore 1 inch pizza has 
<em>calories.
</em>
14 inch pizza will have
Given that the 14 inch pizza is divided into 8 slices.
Therefore each slice of the 14 inch pizza will have
<em>
</em>
Answer:
x = ± 
Step-by-step explanation:
Given
y = x² + 11 ( subtract 11 from both sides )
y - 11 = x² ( take the square root of both sides )
± = 
, hence
x = ±
Answer:
1) 5
2) 5
Step-by-step explanation:
Data provided in the question:
(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)(
)
Now,
on simplifying the above equation
⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)()
or
⇒ (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)()
or
⇒ 
or
⇒
or
⇒
we can say
x = 5, y = 2 and, z = 3
Now,
(1) y is prime
since, 2 is a prime number,
we can have
x = 5
2) x is prime
since 5 is also a prime number
therefore,
x = 5
Answer:
41
Step-by-step explanation:
The question is a little vague, but I’m assuming you meant to say x + y. If that’s the case just do 24 + 17, which is 41.
