Answer:
x = 5.57
Step-by-step explanation:
c² = a² + b² − 2ab cos C
x² = 10² + 6² − 2(10)(6) cos 29°
x = 5.57
Your answer and steps are correct.
Step-by-step explanation:
$103.23
$100
$45.34
+_____
=248.57
Answer:
Yes he has enough fence to go round the flower bed.
Step-by-step explanation:
1 yard = 3 feet
25 feet = 25/3 = 8.33 yards
Yes he has enough fence to go round the flower bed.
Answer:
A.88°
Step-by-step explanation:
Given,
RT is the diameter of the circle with center Q.
We have to find the measure of ∠RQS.
Solution,

Since RT is the diameter. That is it makes a straight angle at the center Q.
And measure of straight angle is 180°.
So we can say that ∠RQS and ∠SQT makes a straight angle.

Now substituting the given values, we get;

We get the value of 'x'.
By substituting the value of x, we can find the measure of ∠RQS.


Hence the measure of ∠RQS is 88°.
Answer:
D 7x( x^2y) ^1/3
Step-by-step explanation:
5x (x^2y)^1/3 +2 (x^5y)^1/3
We can simplify the second term
2 (x^5y)^1/3 = 2 (x^3 * x^2y) ^1/3
We know that (a*b) ^c = a^c * b^c
2 (x^3 * x^2y) ^1/3 = 2 (x^3 )^1/3*( x^2y) ^1/3
2*x*( x^2y) ^1/3
Replacing this into the original equation
5x (x^2y)^1/3 +2x( x^2y) ^1/3
The term inside the cube root is the same, so we can add the terms on the outside
(5x+2x) 2x( x^2y) ^1/3
(7x)( x^2y) ^1/3