Circle problem, please help

How to find the exact value of each trigonometric function without a calculator?

Goryan [66]

Remember them is the best way to go.
draw the exact value triangles if you're unsure, but importantly, you just need to memorise these exact values.

5 0

2 years ago

B

bearhunter [10]

Claim: The measures of $\angle B$ and $\angle B'$ are equal

Answer: True

Explanation: Dilations preserve the shape of an image, so this means the angles are kept the same whether you shrink or enlarge the preimage.

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Claim: The coordinates of A and A' are the same

Answer: True

Explanation: The phrasing "dilating about point A" means that point A is the center of the universe, so to speak, in terms of this dilation operation. Point A is the fixed point that does not move while every other point does move. Because the scale factor is 2/3, which is less than 1, this means every other point comes closer to point A. So something like segment AB will get shorter.

4 0

2 years ago

What is the area of a rectangle that has side lengths of 3/4 yard and 5/6 yard

Ahat [919]

We are asked to find the area of the rectangle that has side lengths of 3/4 yard and 5/6 yard.

We know that area of rectangle is width times length.

To find the area of the given rectangle we will multiply both side lengths as:

$\text{Area of rectangle}=\text{Width}\times \text{Length}$

$\text{Area of rectangle}=\frac{3}{4}\text{ yard}\times\frac{5}{6}\text{ yard}$

$\text{Area of rectangle}=\frac{3}{4}\times\frac{5}{6}\text{ yard}^2$

$\text{Area of rectangle}=\frac{1}{4}\times\frac{5}{2}\text{ yard}^2$

$\text{Area of rectangle}=\frac{1\times5}{4\times2}\text{ yard}^2$

$\text{Area of rectangle}=\frac{5}{8}\text{ yard}^2$

Therefore, the area of the given rectangle would be $\frac{5}{8}$ square yards.

5 0

2 years ago

Determine the discriminant for the quadratic equation -3 = x^2 + 4x+ 1. Based on the discriminant value, how many real number so

Kitty [74]

Hello :
-3 = x² + 4x+ 1
x²+4x+4=0
a=1 and b= 4 c= 4
b^2 - 4ac = (4)²-4(1)(4) =0
one solution : -b/2a = -4/2 = -2
note : x²+4x+4=0
(x+2)² = 0
x+2 = 0
x= -2

5 0

2 years ago

Solve y′′=sin(x) if y(0)=0 and y′(0)=5. y(x)=?

Ksenya-84 [330]

Answer:

$y(x)=6x-sin(x)$