Answer:
40°
Step-by-step explanation:
The measure of the right angle is 90°.
The measures of the angles 10° and 2x add up to the measure of the right angle.
2x + 10° = 90°
2x = 80°
x = 40°
By taking the quotients between the areas, we see that:
<h3>
How to find the probabilities?</h3>
First we need to find the areas of the 3 shapes.
For the triangle, the area is:
T = 3*5/2 = 7.5
For the blue square, the area is:
S = 3*3 = 9
For the rectangle, the area is:
R = 10*6 = 60
Now, what is the probability that a random point lies on the triangle or in the square?
It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:
P= (7.5 + 9)/60 = 0.275
b) The area of the rectangle that is not the square is:
A = 60 - 9 = 51
Then the probability of not landing on the square is:
P' = 51/60 = 0.85
If you want to learn more about probability:
brainly.com/question/25870256
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Step-by-step explanation:
If 4 hamburger = $21.25
1 hamburger = x
Cross multiply
4 x x = $21.25 x 1
4x = $21.25
Devide both side with the coefficient of x
4x/4 = $21.25/4
X = $5.3125
Therefore 1 hamburger cost $5.31
If 4 hotdogs = $22.75
1 hotdog = y
Cross multiply
4 x y = $22.75 x 1
4y = $22.75
Devide both sides with the coefficient of y
4y/4 = $22.75/4
Y = $5.6875
Therefore one hotdog cost $5.69
The <em><u>correct answer</u></em> is:
The equation has no solution; therefore, the system of equations has no solution.
Explanation:
When solving a system of equations, after we combine the equations, if we find that there is no solution, that means that there is no solution to the entire system of equations.
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by
We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,
Substituting the values, r = 6.3 and π = 3.14, we have;
Simplifying the values, we have;
Dividing, we have;
Rounding off to the nearest tenth, we get;
Thus, the volume of the hemisphere is 523.5 cm³