(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с​

Answer:

see explanation

Step-by-step explanation:

(a)

sum the parts of the ratio, 3 + 2 + 1 = 6 parts

The sum of the 3 angles in a triangle = 180°  , then

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

3 parts = 3 × 30° = 90°

2 parts = 2 × 30° = 60°

1 part = 30°

The angles in the triangle are 90°, 60°, 30°

Thus the triangle is right angled

(b)

The shortest side is opposite the smallest angle, that is opposite 30°

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex]

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 × opposite = 25 ( divide both sides by 2 )

opposite = 12.5

That is shortest side is 12.5 cm

Is there anymore words?

Answer:

I'm not answering but i can help you :)

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°.

The two angles of a linear pair, like ∠1  and  ∠2 in the figure below, are always supplementary.

But, two angles need not be adjacent to be supplementary. In the next figure, ∠3  and  ∠4 are supplementary, because their measures add to 180°.

Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a.

So, measure of the other angle is 2a.

If the sum of the measures of two angles is 180°, then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a, divide both sides of the equation by 3.

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120°.

Example 2:

Find m∠P  and  m∠Q if ∠P  and  ∠Q are supplementary, m∠P=2x+15, and m∠Q=5x−38.

The sum of the measures of two supplementary angles is 180°.

So, m∠P+m∠Q=180°

Substitute 2x+15 for m∠P and 5x−38 for m∠Q.

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23 to both sides. We get:

7x=203°

Divide both sides by 7.

7x7=203°7

Simplify.

x=29°

To find m∠P, substitute 29 for x in 2x+15.

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73°.

To find m∠Q, substitute 29 for x in 5x−38.

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107°.

Step-by-step explanation:

that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?

you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?

and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.

let's make it super formal :

price p = Allen contribution a + brother1 contribution b + brother2 contribution c

p = a + b + c

a = b = c = $32.30

p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90

Answer:

51840

[tex] 51840[/tex]

Answer:

518400

Step-by-step explanation:

7200 ÷ 10 is just the zero less:

= 720

Then

720 × 720 =

+1440

+5040

=518400

Answer:

it's rise/run 3/2

Step-by-step explanation:

you rise positive 3 and run 2

Answer:

the answer to your question is B $3.60

Answer:

0+_+0

Answer:

here u go

Step-by-step explanation:

The equation that is used to represent (s) the total sales is s = (w - rh)/c

An equations is used to show the relationship between two or more variables.

Given the equation:

cs + rh = w

To solve for s, we have to make s the subject of the equation:

cs + rh = w

subtract rh from both sides:

cs + rh - rh = w - rh

cs = w - rh

Divide both sides by c:

cs/c = (w - rh)/c

s = (w - rh)/c

The equation that is used to represent (s) the total sales is s = (w - rh)/c

Find out more at: https://brainly.com/question/24169758

Answer:

a is greater or equal to 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the square of one side is greater than the sum of squares of other sides, the angle opposite to this side is greater than 90°.

It means the triangle has an obtuse angle, so the triangle is an obtuse triangle.

I believe the answer would be... x= 130/17  for  34(x-8)=-12

I am really sorry, but I am not sure how to answer the rest

Hoped I helped with the first part of it!

Have a great day/night!

Answer:

The answer is 22/3

Step-by-step explanation: I got it right

Answer:

Equation: -1.2y-4.2y=-3.78

Solved: y=0.7

Step-by-step explanation:

-1.2y-4.2y=-3.78

-5.4y=-3.78

y=0.7

I will take you up on your brainliest offer

Answer:

104 blue boxes

243 yellow boxes

108 red boxes

54 silver boxes

Answer:

11,536.89733 (rounded to 11,536.90)

Step-by-step explanation:

10,000(1+0.1)^1.5

P(1+r)^t

P=Principal

r=rate

t=time(in years)

Answer:

It's the first one. Why?

I converted all the mixed fraction into simplified form.

3 [tex]\frac{1}{3}[/tex] to [tex]\frac{11}{3}[/tex] +  [tex]\frac{5}{7}[/tex]

I divided the denominator of 11/3 by 42. 42/3=14

and 5/7. 42/7, which is 6.

So I concluded the first answer was right because it didn't work out for the other variables.

I hope the answer was right, and I hope you have a great day luv. Bye!

Step-by-step explanation:

Given,

The product of Algebraic Expression is equal to the ________ of their H.C.F& L.C.M.

Solution,

Consider the the numbers are a, b.

a \times b = LCM\,of\,\left( {a,b} \right) \times HCF\,of\,\left( {a,b}Given,

Answer:

  x = 35

Step-by-step explanation:

The angle marked 125° is angle DPE. The (vertical) angle formed from the rays opposite PD and PE is angle BPA. That angle is divided into two parts by ray PC. One of those parts is angle CPA, shown as 90°. The other part is angle CPB, shown as x°. This means ...

  angle DPE = angle BPA . . . . vertical angles have the same measure

  125° = 90° +x°

  35 = x . . . . . . . . . . divide by °, subtract 90

Answer:

1/3

Step-by-step explanation:

2/6=1/3

Answer:

7 represents the number of teams. 9 represents the amount of players on each team. And 63 represents the total number of players.

Step-by-step explanation:

Answer: 6, 12,24,30,36

Step-by-step explanation:

Hope this helps! :)

Answer:

y intercept is (0, -4)

equation is y = x - 4

Step-by-step explanation:

The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)

The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.

The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.

So the slope is 4/4 = 1.

The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.

The equation is slope times x plus y intercept value.

So putting this all together gives you an equation of

y = 1·x + -4

a.k.a.

y = x-4

Answer:

b

Step-by-step explanation:

Answer:

The area of a rectangle is the length multiplied by its breadth.

Since the length is [tex]3(n-1)[/tex] and the breadth is [tex]n+2[/tex] and the area is 54, you can form an equation as followed:

[tex]3(n-1)*n+2=54[/tex]

[tex]3n(n-1)+2=54[/tex]

Expand:

[tex](3n*n)-(3n*1)+2=54[/tex]

[tex]3n^2-3n+2=54[/tex]

Subtract both sides by 54:

[tex]3n^2-3n+2-54=54-54[/tex]

[tex]3n^2-3n-52=0[/tex]

Answer:

55 degrees

Step-by-step explanation:

Add the expressions up and set up an equation.

( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.

3 x − 6 = 90 3 x = 96 x = 32 Find angle B.

x + 23 = 32 + 23 = 55

Hope this helps, have a nice day/night! :D

Answer:

m∠B = 61°

Step-by-step explanation:

Complementary means two angles that add up to the sum of 90°.

Since we are given m∠A = 29°, subtract 29° from 90°.

90 - 29 = 61

m∠B = 61°

Answer:

B. 1/2

Step-by-step explanation:

In the picture attached, the Venn diagram is shown

amount of ASE certified brakes mechanics: 4+2+2+1 = 9

amount of mechanics: 4+2+2+1+3+3+3 = 18

The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2

Answer:

You can make 6 servings

Step-by-step explanation: