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Bingel [31]
2 years ago
12

Find the value of x. Round to the nearest degree.

Mathematics
1 answer:
Fantom [35]2 years ago
4 0

Answer:

x = 51

Step-by-step explanation:

Here, we want to find the value of x

To do this, we are going to use the appropriate trigonometric identity

We have the side facing the right angle ( hypotenuse) and the side facing the angle given (opposite)

The trigonometric identity that links both is the sine and it is the ratio of the opposite to the hypotenuse

Thus, we have it that;

sine x = 7/9

x = arisine (7/9)

x = 51

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The cost of 4 cookies, 6 doughnuts, and 3 boxes of doughnut holes is $8.15. The cost of 2 cookies, 3 doughnuts, and 4 boxes of d
Naddika [18.5K]

Answer:

$1.25

Step-by-step explanation:

This can best be determined using a set of linear equations that are solved simultaneously.

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.

Let the cost of a cookie be c, cost of a doughnut be d and that of a box of doughnut hole be h then if cost of 4 cookies, 6 doughnuts, and 3 boxes of doughnut holes is $8.15, we have

4a + 6d + 3h = 8.15

and the cost of 2 cookies, 3 doughnuts, and 4 boxes of doughnuts holes is $7.20 then

2a + 3d + 4h = 7.20

Dividing the first by 2

2a + 3d + 1.5h = 4.075

subtracting from the second equation

2.5h = 3.125

h = 1.25

The cost of a box of doughnut holes is $1.25

5 0
3 years ago
Solve 2/3+5/6 and put answer in simplest form <br>A)3/2<br>B)9/6<br>C)7/6<br>D)2/3
Mice21 [21]
It would be 9/6 which simplifies to 3/2
5 0
3 years ago
Given that you have 2 parallel lines cut by a transversal, what is the measure of angle 2?
Archy [21]

Step-by-step explanation:

angle 2 = 2x + 10 deg (corresponding angles) or 180 - 4x + 46 deg (angles on a straight line are supplementary)

therefore,

2x + 10 = 226 - 4x

6x = 216

x = 36

hence,

angle 2 = 2(36) + 10 = 82deg

Topic: Angles

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

4 0
3 years ago
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What
Salsk061 [2.6K]

I believe you answer would be D

8 0
3 years ago
Read 2 more answers
90 points for question
Lesechka [4]

Answer:

x=10

Step-by-step explanation:

so your given an angle, 110, and another with an equation, 8x+30, which happens to be vertical to 110 degree angle meaning they are equal, so they both are equal to 110 now how do you solve for x? you simply reverse the equation that x is in, so you subtract 110-30=80, then divide by 8 giving you 10, so x=10.

3 0
2 years ago
Read 2 more answers
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