50% of all the cakes Jenny baked that week were party cakes,1/5 were fruit cakes and the remainder were sponge cakes. What percentage of cakes were sponge cakes?
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A father is four times as old as his daughter. In 18 years he will be two times as old as she. How old is the daughter now?
Kurt earns 8.90/h and works 40 hours a week. What is his gross annual income?
Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits? Enter the number in the box.
Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.The domain of the function is . The range of the function is all real numbers. The vertex of the function is . The function has two x-intercepts. The function is increasing over the interval (, ∞).
Which represents the area of the shaded region?
area of the circle – area of the square – area of the triangle
area of the triangle – area of the square + area of the circle
area of the triangle + area of the square + area of the circle
area of the circle – area of the triangle + area of the square
Answers
The area of the shadedregion is (area of the circle) - (area of the square) - (area of the triangle)
Option A is the correct answer
What is a triangle?
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The shadedregion consists of the area inside the circle but outside the square, as well as the area inside the equilateral triangle but outside the square.
Now,
The area of the circle is πr²
Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.
Let's say the side length of the square is s.
By the Pythagorean theorem,
s² + s² = (diameter)²
2s² = (2r)²
s² = r²
The area of the square is s² = r².
The area of an equilateraltriangle with side length s is √(3)/4 x s².
Since the side length of the square is equal to the height of the equilateral triangle, the side length of the equilateral triangle is also equal to s.
The area of the shadedregion.
= (area of the circle) - (area of the square) - (area of the triangle)
Thus,
The area of the shadedregion is (area of the circle) - (area of the square) - (area of the triangle)
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A. -26 B.-9 C. -1 D. 10
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The value of g(f(-3)) would be -9 which is the correct answer would be an option (B).
What exactly is a function?
A function is defined as a mathematical phrase that specifies a connection between two variables in algebra.
We have been given the functions below as
f(x) = 3x + 7 and g(x) = 2x - 5
We have to determine the value of g(f(-3))
Substitute the value of f(x) = 3x + 7 in the g(x) = 2x - 5 to get g(f(x))
⇒ g(f(x)) = 2(3x + 7) - 5
Apply the distributive property of multiplication,
⇒ g(f(x)) = 6x + 14 - 5
⇒ g(f(x)) = 6x + 9
Substitute the value of x = -3 in the g(x) = 2x - 5 to get g(f(-3))
⇒ g(f(-3)) = 6(-3) + 9
⇒ g(f(-3)) = -18 + 9
⇒ g(f(-3)) = -9
Therefore, the value of g(f(-3)) would be -9.
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2 and 7/8=16/8+7/8=23/8
2 and 1/4=8/4+1/4=9/4
(23/8)/(9/4)
make bottom 1
times the whole thing by (4/9)/(4/9)
(92/72)/(36/36)=
92/72=
23/18
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Answer:13111111/200000000
If UVW =~(congruent symbol) EFC, what is the measure of
Answers
The measure of angle FEC from the given triangle FCE is 51°. Therefore, option D is the correct answer.
Given that, ΔUVW≅ΔEFC.
What is the congruence theorem?
Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
From the given triangle UVW, the measure of ∠U=51° and ∠W=82°.
We know that, the corresponding parts of congruent triangle are equal.
Here, ∠FCE=∠W=82°
∠FEC=∠U=51°
The measure of angle FEC from the given triangle FCE is 51°. Therefore, option D is the correct answer.
To learn more about the congruent theorem visit:
brainly.com/question/24033497.
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Answer:
D. 51
Step-by-step explanation:
If UVW is congruent to EFC then FEC must be congruent to VUW
VUW= 51 so FEC= 51
Can anyone help me slove this ASAP please