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qwelly [4]
2 years ago
11

PLEASE HELP!

Mathematics
1 answer:
Tanya [424]2 years ago
6 0

Answer:

R = 10.39^\circ

Step-by-step explanation:

Since you have the lengths of all the sides, you can use sine, cosine, or tangent to find the answer. Let's use the tangent ratio.

For angle C, AB is the opposite leg, and BC is the adjacent leg.

\tan C = \dfrac{opp}{adj}

\tan C = \dfrac{22}{120}

C = \tan^{-1} \dfrac{22}{120}

C = 10.39^\circ

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Is x greater than, less than, or equal to 46?
Arada [10]

Answer: Less than

Step-by-step explanation:  A variables value is always 1.

3 0
3 years ago
Select the correct answer. This graph represents a quadratic function. What is the value of a in this function’s equation? A)-1
Schach [20]

Answer:

Step-by-step explanation:

We will use the work form of a quadratic to determine what a is...in fact we will write the equation for the whole thing in the process, because it's part of solving for a.

y = ±|a|(x - h)² + k

where x and y are from a coordinate point on the graph, h and k are the coordinates of the vertex, the absolute value of a indicates how steep or flat the graph is compared to the parent graph, and the ± is because a positive parabola opens up and a negative one opens upside down.

The vertex is (0, 9) and the coordinate point I chose to use is (3, 0). Filling those in and solving for a:

0 = ±|a|(3 - 0)² + 9 and

0 = ±|a|(3)² + 9 and

-9 = ±|a|9 and

-1 = ±|a| so a = 1. Because this is an upside down parabola the negative is out front, but a is independent of it. The correct choice is C. The quadratic function is

y=-x^2+9 or in more detailed form:

y=-(x-0)^2+9

5 0
2 years ago
Read 2 more answers
A cooler contains 8 grape juice boxes, 12 orange juice boxes, and 4 apple juice boxes. If a juice box is selected at random, wha
Dennis_Churaev [7]

Answer:

1/3

Step-by-step explanation:

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5 0
2 years ago
At how many points do the graphs of the equations y = 2x + 5 and<br> y = x² - 2x- 7 intersect?
pychu [463]

Answer: \Large\boxed{\text{Two Points}}

Step-by-step explanation:

<u>Given a system of equation</u>

1)~y=2x+5

2)~y=x^2-2x-7

<u>Substitute the 2) equation for the y value of the 1) equation</u>

2x+5=x^2-2x-7

<u>Subtract [ 2x + 5 ] on both sides</u>

2x+5-(2x+5)=x^2-2x-7-(2x+5)

x^2-2x-7-2x-5=0

x^2-4x-12=0

<u>Cross multiply the equation</u>

x~~~~~~~~~~~~~~~-6

x~~~~~~~~~~~~~~~2

(x-6)(x+2)=0

x=6~\text{or}~x=-2

Since there are 2 x values, this represents that there are \Large\boxed{\text{Two}} intersecting points

----------------------------------------------------------------------------------------------------------

<em>The following is EXTRA information for the question if you need to find the points of intersection</em>

<u>Substitute the x values into one of the equations to find the y value</u>

\text{When}~x=6:

y=2x+5

y=2(6)+5

y=12+5

y=17

\large\boxed{(6,17)}

\text{When}~x=-2:

y=2x+5

y=2(-2)+5

y=-4+5

y=1

\large\boxed{(2,~1)}

<u>Graph the equations to check the solutions</u>

Please refer to the attachment below for the graph

3 0
2 years ago
•given ABCD is a kite, check every box that must be true
natali 33 [55]

Answer:

Step-by-step explanation:

A kite is a quadrilateral made up of two isosceles triangles. A kite does not have any parallel side, but has two pairs of equal adjacent sides. All four sides are not congruent, only two pairs of consecutive sides are congruent.

The vertices of a kite are right angles. The diagonals bisect each other at right angles ( that is they are perpendicular). Therefore the following are true:

1) two pairs of consecutive sides are congruent

2) The diagonals are perpendicular

3) The diagonals bisect each other.

Point A= (3,6), B = (5,0), C= (-2,-4) D = (-3,4)

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AB=AD, BC = BC.

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