Two sides of a triangle measure 5
units and 3 units. The perimeter
of the triangle is 12 units. What is
the measure of the third side?

Answer:

y=-3x+5.5

Step-by-step explanation:

The answer is Y=-3x+5.5 because we already know the slope which is -3. Now all you have to do is change the Y-Intercept. As you can tell the Y-Intercept is not a whole number. So you have to change it to a decimal to get the point that you want. You can put the last part of the equation as 5.5 or 5.55. It doesn't matter but 5.5 is more official. If you find any fault in my answer let me know. Thanks. Have a good day!

Question:

Rewrite the function to reveal when sales of compact discs and $0.

Answer:

The cost in 2010 is $0

Step-by-step explanation:

Given

[tex]C(x) = -2x^2 + 38x + 40[/tex]

Required

Find x when [tex]C(x) = 0[/tex]

This gives:

[tex]C(x) = -2x^2 + 38x + 40[/tex]

[tex]-2x^2 + 38x + 40=0[/tex]

Expand

[tex]-2x^2 + 40x -2x+ 40=0[/tex]

Factorize:

[tex]-2x(x - 20) -2(x- 20)=0[/tex]

[tex](-2x - 2)(x- 20)=0[/tex]

Solve for x

[tex]-2x-2=0\ or\ x - 20 = 0[/tex]

[tex]x = -1\ or\ x = 20[/tex]

x represents time.  So, it cannot be negative.

[tex]x = 20[/tex]

20 years after 1990 is: 2010. Hence, the cost in 2010 is $0

Answer: there is no picture

Answer:

D. 23

Step-by-step explanation:

m-12-(11)=0

m-23 = 0

m = 23

Answer:

5. 18 that is what i think the answers are

6. 13.75

5 2 11 8 35 32

Answer:

8

Step-by-step explanation:

the formula for direct variation =

Y ∝ kX

such that

Y = kX

from the question we have here

Y = Volume = 24

x = height = 3

when we put this in the formula above in bold

24 ∝ 3k

24 = 3k

from here we have to find the value of k. to do this, we divide through by 3

24/3 = 3k/3

8 = k

therefore the value of k is 8

Answer:

x = 3/2

Step-by-step explanation:

Simplify this equation by dividing all three terms by 1/4:

2x - 1 = 2, or

2x  = 3

Then x = 3/2

Answer:

36.869 or 36.87

Step-by-step explanation:

first, you find which trig function you are using. in this case, tangent.

then, you put calculate the arctan(3/4) which is 36.96989765

The measure of angle x = 36.9°

"It is a triangle in which one of the angle measures 90° "

"It is the longest side of the right triangle."

"In a right triangle [tex]a^{2}+ b^{2}= c^{2}[/tex] where c is the hypotenuse and a, b are other two sides of the right triangle."

"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle [tex]\theta[/tex] to the hypotenuse."

For given question

First we find the hypotenuse of the right triangle.

Let 'h' be the hypotenuse of the right triangle.

Using Pythagoras theorem,

[tex]h^{2} =3^{2} +4^{2} \\\\h^{2} =9+16\\\\h^{2} =25\\\\h=5[/tex]

We find the sine of angle 'x'

[tex]\Rightarrow sin(x)=\frac{opposite~side~of~x}{hypotenuses} \\\\\Rightarrow sin(x)=\frac{3}{5}\\\\ \Rightarrow sin(x)=0.6\\\\\Rightarrow x=sin^{-1}(0.6)\\\\\Rightarrow x=36.9^{\circ}[/tex]

Therefore, x = 36.9°

Learn more about the sine angle here:

https://brainly.com/question/13256520

#SPJ2

Answer:

31 degrees

Step-by-step explanation:

1. since angle x and angle y are congruent, and segment xw and segment yw are congruent, you can assume that angle xzw and angle wzy are also congruent.

2. set angle xzw and angle wzy equal to each other

8x-1 = 5x+11

3. combine like terms

3x = 12

4. simplify to find the value of x

x = 4

5. plug x into the equation to find the degree of angle wzy

5(4)+11

20+11

=31 degrees

Answer:

A

Step-by-step explanation:

Because That's The Main Idea

Answer:

D

Step-by-step explanation:

Answer:

The Scale Factor is 1/4.

Step-by-step explanation:

if you multiply each side (of figure A) by 1/4, the product matches with figure B's corresponding sides. for example, 56 to 14, 28 to 7, and 64 to 16.

the scale factor is just how much a chosen shape is multiplied by to get the next shape.

to get bigger shapes into a smaller shape, multiply the sides by fractions like we did this problem.

Answer:

$400

Step-by-step explanation:

Let the initial total cost be represented = $X.

Hence, for 20 family members

= $ x/20 each .......1

Now that they are 25 members

= $x/25 each.......2

Each in the original group which is equation 1 owed $4 less.

That is,

x/20 - 4 ........ 3

Now equate 2 and 3

X/20 - 4/1 = X/25

Taking the LCM of both sides

X-80/20 = X/25

Cross multiply both sides

25( x-80 ) = 20x

25x-2000 = 20x

Collecting like terms

25x-20x = 2000

5x = 2000

Divide through by 5

X = 2000/5

X = 400

The total cost for the catered meal is $400.

To check if it was correct

Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4

From equation 1

400/20 = $20

From equation 2

400/25 =$16

$20-$16 = $4

Thanks

Answer:

Step-by-step explanation:

Givens

You have the hypotenuse: 13

You seek the adjacent side: x

You have the angle enclosing the 2: 47 degrees.

The relationship is the Cosine

Solution

Cos(47) = opposite / hypotenuse

Cos(47) = 0.6820                            From your calculator

Cos(47) = x / 13                                Multiply both sides by 13

13*cos(47) = x

x=8.866

Answer:

the two consecutive negative integers are -2 and -1.

Step-by-step explanation:

Represent these negative integers by m and n.

Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.

Substituting m + 1 for n in the second equation, we get:

m^2 = m + 1 + 5, or

m^2 - m - 6 = 0

This factors into (m - 3)(m + 2) = 0.  The only negative root is -2.  

Thus, the two consecutive negative integers are -2 and -1.

Check:  Is the  square of the first five more than the second?

Is (-2)^2 = -1 + 5?  YES

The integers aer -2 and -1.

Answer:

The answer is B. 4.4 oz.

Step-by-step explanation:

What do we know? We have the 6-pack of 12-ounce bottles and they cost $2.99, we also know that the other bottle 67.6 ounces that also costs $2.99.

Forgot the money, we're just going to be looking at the ounces.

First, we take the 6-pack and multiply by 12 because we want the size as one, rather than seperate. 6 x 12 = 72

The question is asking how many more ounces are you getting if you purchase the 6-pack. In order to do this, we take the 72 ounces that we got and subtract that 67.6 ounces of the other drink. 72 - 67.6 = 4.4

The ounces saved are 4.4 ounces.

Answer:

y = x2 − 500x + 60,000

Step-by-step explanation:

area of the fenced-in section = length • width

y  = (x − 200)(x − 300)

= x² − 300x − 200x + 60,000

= x² − 500x + 60,000

Answer:

4,684 km

Step-by-step explanation:

Answer:

beleive its 35

Step-by-step explanation:

Answer:

The mode hear is 32

Step-by-step explanation:

The mode is the number seen the most in a selected group.

Here is a Mnemonic to help remember what the 3 M's are:

'Hey diddle, diddle

the medians in the middle

add and divide for the mean

the mode is the one that you see the most

and the range is the difference between'

Answer:

90 degrees

Step-by-step explanation:

The three angles of a triangle always add up to 180 degrees, so knowing this, all three of the measures given should add up to 180.

First, you need to solve for x:

S(x+10) + R(2x+60) + T(50+x) = 180

Add up all of the like terms:

10 + 60 + 50 = 120

x + 2x + x = 4x

So now you are left with 4x + 120 = 180

And solve for x:

4x/4 + 120/4 = 180/4

x + 30 = 45

x + 30-30 = 45-30

x = 15

Now that we have the value of x, plug it into the measure given for angle R:

(2x+60)

= (2(15)+60)

= (30 + 60)

= 90

So the measure of angle R is 90 degrees.

I hope this helped! :)

Answer:

(3x-2)(2x-3)

Step-by-step explanation:

Good luck!

Answer:

8???????

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

A = $4,312.00

I = A - P = $2,112.00

hey!

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 2200(1 + (0.08 × 12)) = 4312

A = $4,312.00

The total amount accrued, principal plus interest, from simple interest on a principal of $2,200.00 at a rate of 8% per year for 12 years is $4,312.00.

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have a good day! hope i helped in some way

Answer:

6 ft

Step-by-step explanation:

The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.

hope is helped!