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3 years ago

What is the reference angle

Mathematics

1 answer:

emmainna [20.7K]3 years ago

6 0

The acute angle between the terminal arm/terminal side and the x-axis, the reference angle is an angle being sandwiched by the terminal side and the x-axis and it’s always positive

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A triangle has a base of 4 inches and a height of 6 inches. What is the area of the triangle? 10 in2 12 in2 20 in2 24 in2

xxMikexx [17]

The area of a triangle is represented by 1/2 x B x H, where B = base, H = height.

In this equation, B = 4, H = 6

1/2 x 4 x 6 = 12 in^2

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Which is greater: 75,409 – 6,000=69,409 or 29,300 + 40,109=69,409.

natali 33 [55]

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A prism with a base that is a regular hexagon

Katyanochek1 [597]

Answer:

Look at explanation

Step-by-step explanation:

The surface area (x^2) that you will be provided as the base is made from the formula (3\sqrt(3)/2)s^2. s is the length of one side of the hexagon. In order to get surface area, you will also be provided the height of the prism. From there, set x^2=(3\sqrt(3)/2)s^2 and solve for s. Then multiply s * the height of the prism *8. Then, add 2x^2 to that value for total surface area/

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2 years ago

The right line is a 90° clockwise rotation of the left line about the origin. Click the 90° clockwise button. Are these lines th

nikitadnepr [17]

Answer:

Step-by-step explanation:

From the graphs attached,

Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).

When these points have been rotated by 90° about the origin,

Rule for the rotation will be,

(x, y) → (y, -x)

Therefore, coordinates of the image points will be,

(-4, 2) → (2, 4)

(-1, 10) → (10, 1)

Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.

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3 years ago

karen amad an hans have a total of 113 in their wallets? if hans has 4 times the amount of karen an karen has 7 dollars more tha

zvonat [6]

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

Solution:

Let "h" be the amount in Han's wallet

Let "k" be the amount in karen wallet

Let "a" be the amount in amad wallet

They have a total of 113 in their wallet

Therefore,

h + k +a = 113 ------- eqn 1

If hans has 4 times the amount of karen

Amount with Han = 4 times the amount with Karen

h = 4k ------- eqn 2

And karen has 7 dollars more than amad

k = 7 + a

a = k - 7 ---------- eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

4k + k + k - 7 = 113

6k - 7 = 113

6k = 113 + 7

6k = 120

k = 20

Substitute k = 20 in eqn 3

a = 20 - 7

a = 13

Substitute k = 20 in eqn 2

h = 4k = 4(20) = 80

h = 80

Summarizing the results:

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

6 0

3 years ago