Answer: 129
Step-by-step explanation: First find the area of the circle. Since we know the area of a circle is πr² (pi multiplied by the radius squared) we can find the area of the half circle. The radius is 5 (because radius is half of the diameter)
Area=3.14(5)²
=3.14(25)
=78.5
But since this is just a half circle, divide this by 2
That will get 39.25
Then add this to the area of the rectangle (L*W) which is 90
That will get about 129
Answer:
R'(2,4)
Step-by-step explanation:
When doing translations you subtract or add within the coordinates like a normal problem.
If it helps you, write it as seperate equations like:
1-1 and 5-1
Hope that helps ✓
To find the probability of choosing a red card we need to add both the cards so we have a total amount of cards.
17 + 9 = 26
Since, the question is asking the probability of choosing a RED card then the probability is a 17/26 chance. The answer choices are written as ratios. The ratio that is the same to 17/26 is [ D. 17:26 ]
Best of Luck!
Answer:
A) 
Step-by-step explanation:
The volume of a triangular prism can be found using the formula
(1)
where
A is the area of the base
h is the height of the prism
Here, the base is a right triangle; the area of a triangle is

where
b is the base
h' is the height of the triangle
Here, the triangle has the two sides equal, and it is a right triangle, so we have

So the area of the base is

We also know that the height of the prism is equal to the leg length of the base, so

Therefore substituting into (1) we find:

Answer:
Hence third choice RQ, RP, PQ is correct.
Step-by-step explanation:
We know that if A, B, C are the angles of the triangle and if ∠A > ∠B
a>b {Where “a” is side created by angle A and “b” is side created by angle B }.
We will use same property to decide which side is bigger.
In triangle PRQ,
∠P = 30 degree
∠R = 85 degree
then ∠P + ∠R + ∠Q = 180 {since sum of all three angle of triangle is 180 degree}
30 + 85 + ∠Q = 180
115 + ∠Q = 180
∠Q = 180 - 115
∠Q = 65
Now we know measure of all angles so we can do comparison using above property.
Smallest angle is ∠P so side RQ will be smallest.
Largest angle is ∠R so side PQ will be largest.
Hence we get RQ < RP < PQ.
Hence third choice RQ, RP, PQ is correct.