If the largest angle of a triangle is 120 degrees and it is included between sides of 1.5 and 0.5, what is the largest side of the triangle to the nearest tenth?

Answers

Answer 1
Answer: c²=a²+b²-2·a·b·cos(C)

c²=(1.5)² + (0.5) -2 ·(l·5) ·(0.5) ·cos(120°)

c²= 3.25

c= √3.25

c=1.802775638

To nearest tenth, c=1.8
Answer 2
Answer:

Answer:

1.8

Step-by-step explanation:


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first you have to see if they an be simplified into a y=mx+b formula. then make sure they have a constant (aka slope), and a y-intercept(some equations dont have this)  

How to draw a parallelogram that has 4 parallel lines

Answers

It is impossible to draw a parallelogram with 4 parallel lines (or to draw any quadrilateral with 4 parallel lines, for that matter).

What is the value of st ÷ (6r) if r = 5, s = 32, and t = 45?

Answers

Answer: The answer is 48.

Step-by-step explanation:  The given expression is

E=st/6r.

we are given to solve the above expression is the value of r is 5, the value of s is 32 and the value of t is 45.

The solution is as follows:

E\n\n=st/6t\n\n=(st)/(6r)\n\n=(32* 45)/(6* 5)\n\n=16* 3\n\n=48.

Thus, the required value is 48.

st ÷ 6r
(32)(45) ÷ 6(5)
1440 ÷ 30
48

Khaliq produces and sells toy cars. The material for each car costs him $4. He has been selling them for $8 each and averaging sales of 40 per week. He has been told by Kiarash that he could charge more but has found that for each $0.50 increase in price, he would lose 4 sales each week. How much should Khaliq charge per car in order to have the greatest profit? What is the greatestprofit?

Answers

Answer:

He should charge 8.50 for each car for a profit of 162 dollars.

Step-by-step explanation:

Plot y = (x - 4)(40 - 8(x - 8)) on a graphing calculator such as desmos

Okay so I have having a little problem with slope- intercept form when you have two points. Help?

Answers

To find the slope of the line you have to do change in y over the change in x. I will be using the example (3,6) and (1,4). So if you find the change in y over the change in x you have 2/2. The slope would be 1. and if you have slope intercept form (y=mx+b) you get y=1x+b. Now all you have to find is b. Substitute in any of the points given and you have 4=1+b. Therefore b = 3. So your full equation is: y=x+3

The base of a triangle is 3 cm longer than its altitude. The area of the triangle is 35cm^2. Find the altitude. (Hint: use the area of a triangle. 1/2 * base * altitude.)

Answers

The altitude of the triangle whose base is 3 cm longer than its altitude is 7cm.

What is triangle?

Triangle is a plane figure with three straight sides and three angles such that the sum of the angles is 180°.

Given is a triangle whose base is 3cm longer than its altitude. The area of the triangle is 35 cm².

Assume that the altitude of the triangle is 'a' cm.

The area of a tringle is given by -

A [T] = 1/2 x base x height.

Now,

Altitude of triangle = a cm

Base of triangle = (a + 3) cm

Substituting the values in the formula of area, we get -

A [T] = 1/2 x base x height

A [T] = 1/2 x a x (a + 3)

a(a + 3) = 35 x 2

a(a + 3) = 70

a² + 3a - 70 = 0

On solving the above quadratic equation, you will get two values of x -

a = - 10   and   a = 7

Altitude cannot be negative. Therefore, the altitude of the triangle is 7 cm.

Therefore, the altitude of the triangle whose base is 3 cm longer than its altitude is 7cm.

To solve more questions on tringles, visit the link below-

brainly.com/question/2038678

#SPJ2

The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.