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Doss [256]
3 years ago
13

Double and half angle identities?

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

Option 4

Step-by-step explanation:

Given:

Sinθ = \frac{15}{17}

Since, cos2θ = 1 - 2sin²θ

cos2θ = 1-2(\frac{15}{17})^2

cos2θ = 1 - \frac{450}{289}

cos2θ = \frac{289-450}{289}

cos2θ = -\frac{161}{289}

Therefore, Option 4 will be the answer.

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Point Q' is the image of Q(-7, -6) under the translation (x, y) + (x + 12, y + 8).
Lina20 [59]

Answer:

The co-ordinates of Q' is (5,2).

Step-by-step explanation:

Given:

Pre-image point

Q(-7,-6)

To find Image point Q' after following translation.

(x,y)\rightarrow (x+12,y+8)

Solution:

Translation rules:

Horizontal shift:

(x,y)\rightarrow (x+k,y)

when K>0 the point is translated k units to the right.

when K the point is translated k units to the left.

Vertical shift:

(x,y)\rightarrow (x,y+k)

when K>0 the point is translated k units up.

when K the point is translated k units down.

Given translation (x,y)\rightarrow (x+12,y+8) shows the point is shifted 12 units to the right and 8 units up.

The point Q' can be given as:

Q'=(-7+12,-6+8)=(5,2)

So, the co-ordinates of Q' is (5,2). (Answer)

7 0
3 years ago
What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi. Radius
pav-90 [236]
Okay. The equation for a sphere's surface area is A = 4 * pi * r^2. Let's plug 5 in for r. 
4 \pi (5^2) = 4(3.14)*25 = 100 * 3.14 = 314
I got 314 cm^2 is the surface area, but it always helps to double check work! Hope this helps!
3 0
3 years ago
Read 2 more answers
What is m∠A ? Enter your answer in the box. ° Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 deg
Allisa [31]

Answer: The measure of angle A is 60 degree.

Explanation:

It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.

According to angle sum property, the sum of angles of a triangle is always 180 degree.

In triangle CDE,

\angle ECD+\angle CDE+\angle DEC=180^{\circ}

43^{\circ}+35^{\circ}+\angle DEC=180^{\circ}

78^{\circ}+\angle DEC=180^{\circ}

\angle DEC=180^{\circ}-78^{\circ}

\angle DEC=102^{\circ}

According to opposite vertical angle property.

\angle AEB=\angle DEC

\angle AEB=102^{\circ}

Use angle sum property is triangle ABE.

\angle ABE+\angle BEA+\angle EAB=180^{\circ}

\angle ABE+102^{\circ}+18^{\circ}=180^{\circ}

\angle ABE+120^{\circ}=180^{\circ}

\angle ABE=60^{\circ}

Therefore, the measure of angle A is 60 degree.

5 0
3 years ago
Read 2 more answers
Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the
Deffense [45]

Answer:

$3.75

Step-by-step explanation:

2/3 = $2.50

2.50/2 = 1.25

1.25x3 = 3.75

7 0
3 years ago
Which of the following steps could be used as a short cut method to multiply 12 by 50
Ksenya-84 [330]
Use doubling and halving to solve. So halve 12 and double 50. Then solve. 6*100=600
3 0
3 years ago
Read 2 more answers
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