what is the length for the 3rd side? write in simplest radical form if needed

Answer:

answer = -29

Step-by-step explanation:

2*-3*4-5

Answer:

-29

Step-by-step explanation:

=2(-3)(4)-5

=-6(4)-5

=-24-5

=-29

Hope this helps.

Answer:

12) x = 49.5

13) x = 8.5

14) x = 44.8

15) x = 4.6

Step-by-step explanation:

We can solve for the missing side lengths using trigonometry

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For #12

We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.

That being said we want to create an equation to solve for x

[tex]tan(68)=\frac{x}{20}[/tex]

Now we solve

* multiply each side by 20 *

[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]

we're left with x = 49.5

It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.

For 13)

[tex]tan(62)=\frac{16}{x} \\[/tex]

*multiply each side by x*

[tex]xtan(62)=16[/tex]

*divide each side by tan(62)

[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]

we're left with x = 6.5

For 14)

[tex]tan(15)=\frac{12}{x}[/tex]

multiply each side by x

[tex]xtan(15)=12[/tex]

divide each side by tan15

[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]

we're left with x = 44.8

For 15)

[tex]tan(74)=\frac{16}{x}[/tex]

multiply each side by x

[tex]xtan(74)=16[/tex]

divide each side by tan(74)

[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]

we're left with x = 4.6

Answer:

-8.23

Step-by-step explanation:

If Lori had $126.89 in her bank account and she deposited $21.49, she would be adding that to the amount of money in her bank account.

126.89+21.59= 148.48

Then subtract the amount of money the repairs costed.

148.48 - 156.61 = -8.23

Therefore Lori would have a balance of -$8.23.

Answer:

Lori had $126.89 in her bank account.

She deposited $21.49 into it and then wrote a check for her car repairs for $156.61  

126.89+ 21.49=148.38

148.38-156.61=−8.23

the answer is -8.23

Answer:

an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.

Answer:

20

Step-by-step explanation:

In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?

Let x = number correct answers

because school a , gives the same correct and wrong answers, their equation can be represented as :

165 - 5x + 12x =

165 + 7x

School b gives no wrong answer. their equation can be represented as

65 + 12x

to fing the number of correct answers given, equate the two equations

165 + 7x = 65 + 12x

collect like terms

165 - 65 = 12x - 7x

100 = 5x

x = 20

Answer:

9.2h+50

Step-by-step explanation:

im not sure if this is correct and im only in middle school but i had this same quetsion and got that snwer

Answer:

12

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something

Answer:

17(x-2)

Step-by-step explanation:

Given the expression

17x - 34

We are to factorize it

Get their factors

17x = 17 * x

34 = 17 * 2

Since 17 is common to both factors, hence 17 is the GCF

17x - 34 = 17(x - 2)

Hence the equivalent expression is 17(x-2)

Answer: 74 degrees and 16 degrees

Step-by-step explanation:

A pair of complementary angles add up to 90 degrees.

If we know that one of the two angles is 58 degrees less than the other, we can solve the algebraic equation: x + (x-58) = 90, where (x) is the measure of the one angle, and (x-58) is the measure of the other angle.

x + x-58 = 90 is the same as 2x -58 = 90.

Adding 58 to both sides gives 2x = 148,

and dividing both sides by two gives x = 74.

We now know that one angle is 74 degrees, and the other angle is (74-58) degrees. This gives two angles of 74 and 16 degrees. They both add up to 90 degrees, so they are complementary angles.

Answer:

9.40$

Step-by-step explanation:

70ft is the answer I think

Answer:

X is about 58.41 degrees

Step-by-step explanation:

For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.

Therefore, with the equation for sine, we would get

sin(x) = 23/27

sin(x) = 0.851

Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.

x = sin-1 23/27

Last, use a calculator to get the answer.

X is about 58.41 degrees

Answer:

If s₃ is the length of the 3rd side, the possible values are in the interval.

5 < s₃ < 19

Step-by-step explanation:

For a triangle, we know that the sum of any two sides is always larger than the other side.

So if a triangle has 3 sides:

s₁, s₂, and s₃, we have:

s₁ + s₂ > s₃

s₁ + s₃ > s₂

s₂ + s₃ > s₁

In this case, we know that two sides are:

s₁ = 7

s₂ = 12

And we want to find the possible values of s₃.

Then if we use the above inequalities, we get:

7 + 12 > s₃

7 + s₃ > 12

12 + s₃ > 7

With the first one we get:

19 > s₃

Now we can rewrite the other two as:

s₃ > 12 - 7 = 5

s₃ > 7 - 12 = -5

The first one is more restrictive than the second:

s₃ > 5 > -5

So we can use only the first one.

Then the two inequalities are

s₃ > 5

s₃ < 19

Then the range is:

5 < s₃ < 19

This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)

Answer: 5 and 7.

Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.

First I made a list of numbers that when multiplied equal 35

Then I went through the list and took out all the options that were not one number being 2 more than the other.

The only option left is 5 x 7 (5*7)

what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?

The numbers are 5 and 7.

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

let the first number be 'x'

another number = x+2

According to question,

x(x+2)= 35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= +5, -7

Hence, the numbers are 5 (x) and 7 (x+2).

Learn more about equation here:

https://brainly.com/question/2263981

#SPJ2

Answer:

1. Axis of Symmetry: x=-4, Vertex: (-4, -6)

2. Axis of Symmetry: x=2, Vertex: (2, 8)

Step-by-step explanation:

Answer:

452.2

Step-by-step explanation:

r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2

Answer:

452.4in³

Step-by-step explanation:

diameter= 12in.

radius= 12÷2

= 6in.

volume= πr²h

=π×6²×4

= π×36×4

= 113.097336×4

= 452.389

≈ 452.4in³

Answer:

D

Step-by-step explanation:

it's self explanatory

12 is being decreased by 2x (x is a variable for a number)

Answer:

4th

Step-by-step explanation:

string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.

Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~  [tex]\frac{3}{15}[/tex] (or  [tex]\frac{1}{5}[/tex], simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~  [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

Answer:

152

Step-by-step explanation:

blue -- 8 x 2 = 16 x 2 = 32

green -- 8 x 6 = 48 x 2 = 96

red -- 6 x 2 = 12 x 2 = 24

96 + 24 + 32 = 152

Answer:

49

Step-by-step explanation:

Answer:

A(b) = 145,34 m²

Step-by-step explanation:

Area of the square of side l = 26 m    A(s) = l²      A(s) = (26)²

A(s) = 676 m²

Areaof the circle of radius r = 13  A(c) = π*(r)²  A(c) = π*(13)²

A(c) = 169*π  m²

Then the area outside the circle and inside the square  A(b), is the difference between the area of the square minus the area of the circle, that is:

A(b) = A(s)  -  A(c)  =  676  - 169*π    m²

A(b) = 676  -  530,66  m²

A(b) = 145,34 m²

Answer:

Sorry. What's the question?

Answer:

12:6, 9:45

Step-by-step explanation:

Ratios I think you are asking

Answer:

56 inches squared

Step-by-step explanation:

(4x6) ÷ 2 = 12

12 x 4 = 48

4 x 4 = 16

48 + 16 = 56

Answer:

5x

Step-by-step explanation:

If the blank were to be occupied with 5x there would be no solutions

Observe...

5x - 8 = 5x + 2

* subtract 5x from each side *

5x - 5x cancels out

5x - 5x cancels out

we're left with -8 = 2

which is not true

Hence if the blank = 5x the equation will have no solution

Answer:

12 cups

Step-by-step explanation:

1 quart is 4 cups, so 4 x 3= 12 and 1 x 3 = 3.. Good Luck!

Answer:

56m

Step-by-step explanation:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier (0,0)(0,0)(5,0)\qbezier (0,0)(0,0)(0,3)\qbezier (0,3)(0,3)(5,3)\qbezier (5,3)(5,3)(5,0)\qbezier (0,3)(5,0)(5,0)\qbezier (0,0)(0,0)(5,3)\put (-0.4,-0.2){\sf D}\put (-0.2,3.1){\sf A}\put (5.2,3.1){\sf B}\put (5.2,-0.2){\sf C}\put (2.4,1){\sf O}\put (2,-0.4){\bf 50\:m}\put (-1,1.5){\sf 25\:m}\end {picture}[/tex]

Length=50m

Breadth=25m

Diagonal be x

[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 25m}\put(2.8,.3){\large\bf 50m}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $\Theta$}\end{picture}[/tex]

So

➝x^2=50^2+25^2

➝x=√(50)^2+(25)^2

➝x=√2500+625

➝x=√3125

➝x=55.9m

➝x=56m(approx)