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Vaselesa [24]
3 years ago
14

Please help!! Find the value of x

Mathematics
1 answer:
nevsk [136]3 years ago
5 0

Answer:

x = 62 degrees

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos x = 3.7/7.9

Taking the inverse cos of each side

cos ^ -1 ( cos x) = cos ^-1 (3.7/7.9)

x =62.07246803

To the nearest degree

x = 62 degrees

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PLEASE HELP, BEEN STUCK FOR AN HOUR
djverab [1.8K]

Answer:

Step-by-step explanation:

To sketch a quadratic function we need two things:

1)  Nature of the curve

2) Vertex

3) y-intercept

The completing square form of the quadratic equation is:

y=a(x-h)^2+k

where,

a represents the nature of the graph it can be maximum or minimum , meaning, if a > 0 then minimum(u shaped curve/happy face) and if a < 0 then maximum(n shaped curve/sad face).

h represents the x-coordinate of the vertex.

k represents the y-coordinate of the vertex.

Now if we compare g(x) with our completing square form we get the following:

g(x)=(x-4)^2+12\\y=a(x-h)^2+k\\

When we simply compare the following we get ,

a = 1 , which means a > 0 since 1 is greater than 0 the nature of the curve will be minimum(happy face/u shaped)

h = 4, which means the x-coordinate of the vertex is 4

k = 12, which means the y-coordinate of the vertex is 12

Now we have the nature of the curve, we have the vertex now all we need is the y-intercept.

For y-intercept:

For y-intercept meaning at which point will the graph cross the y-axis(0 , y)

For that we expand the formula and turn it into the standard quadratic equation form by using the formula (a - b)^2

y=(x-4)^2+12\\y=((x)^2-2(x)(4)+(4)^2)+12\\y=x^2-8x+16+12\\y=x^2-8x+28\\

now we compare with the standard quadratic form:

y=ax^2+bx+c

here c is the y-intercept and while comparing we can see that c = 28 ,

so the curve cuts the y-axis at (0 , 28)

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So we just plot the y-intercept , the vertex , and join the dots. Just a tip draw a dotted line on the x-coordinate of the vertex because the vertex point is also called as a turning point where the graph goes in the opposite direction just like a mirror reflection. I attached 2 images you can check them out. One is handmade(i know i suck at drawing but still xD) , one is sketched by online graphing calculator.

5 0
3 years ago
G<br> H<br> 2.5(JK)<br> 12<br> к<br> L<br> F<br> What is HL?
Alchen [17]
<h3>Answer:  21</h3>

=================================================================

Work Shown:

The diagram shows that JK = 12 and GF = 2.5*(JK) = 2.5*12 = 30

The midsegment HL will be the average of the two lengths it is parallel to.

We'll add up the values and then cut the result in half

HL = (JK+GF)/2

HL = (12+30)/2

HL = 42/2

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Step-by-step explanation:

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Answer:

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