In right triangle ABC, A = 15°, C=37, and ZC is the right angle. Solve the triangle. Round to the nearest tenth, if necessary.

Answer:

[tex]k=0[/tex] and [tex]k=3[/tex].

Step-by-step explanation:

To this relation be a function, the horizontal coordinates can't be equal. So, let's find the value of [tex]k[/tex] that makes those coordinates equal.

[tex]k^{2}=3k\\ k^{2}-3k=0\\k(k-3)=0\\[/tex]

Using the null factor property, we have

[tex]k=0\\k-3=0 \implies k=3[/tex]

Therefore, the given relation is not a function when [tex]k=0[/tex] and [tex]k=3[/tex].

Answer:

a= 13+3b

Step-by-step explanation:

Simplifying

a + -7 = 3(b + 2)

Reorder the terms:

-7 + a = 3(b + 2)

Reorder the terms:

-7 + a = 3(2 + b)

-7 + a = (2 * 3 + b * 3)

-7 + a = (6 + 3b)

Solving

-7 + a = 6 + 3b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + a = 6 + 7 + 3b

Combine like terms: -7 + 7 = 0

0 + a = 6 + 7 + 3b

a = 6 + 7 + 3b

Combine like terms: 6 + 7 = 13

a = 13 + 3b

Simplifying

a = 13 + 3b

Answer:

Try 2 is correct

Step-by-step explanation:

See attachment for dimension of cone.

From the attached,

The diameter of the cone, d = 6 in

The height of the cone, h = 6 in

The volume of a cone is calculated as thus

Volume = ⅓πr²h

So, we need the value of r.

r represents radius and

r = ½d

r = ½ * 6

r = 3.

So,

Volume = ⅓πr²h becomes

Volume = ⅓ * π * 3² * 6

Volume = π * 3 * 6

Volume = π * 18

Volume = 18π

Take π as 3.14

So,

Volume = 18 * 3.14

Volume = 56.52 in³

Given that

Try 1 = 169.6 in³

Try 2 = 56.5 in³

We can conclude that Try 1 is incorrect and Try 2 is correct

Answer:

1/3y(y + 12) - 12.

Pretty sure it's 1/3y(y + 12) - 12. I'm pretty sure I got it wrong tho.

Answer: y= -6.45 and y=5-x

Step-by-step explanation:

Subtract 5.1 from both sides.

-2y= 18-5.1

Simplify 18- 5.1 to 12.9

-2y=12.9

Divide both sides by -2

y= - 12.9/2

Simplify 12.9/2 to 6.45

y=-6.45

Factor out the common term 3.

3(x+y)=15

Divide both sides by 3.

x+y =15/3

Simplify 15/3 to 5.

x+y = 5

Sub. x from both sides

y= 5-x

Answer: +23

Step-by-step explanation:

It would be 23 because the difference between -19 and 4 is 23

Answer:

+23

Step-by-step explanation:

I took the test and my teacher helped me and told this was the right answer.

Answer:

4 (3x + 5)

Step-by-step explanation:

Simplify

4 + 12x +16

Simplify

12x + 20

Factor

4 (3x + 5)

Answer:

[tex]2(x+4)(x+2)[/tex]

Step-by-step explanation:

We can start with the observation that every coefficent in the quadratic [tex]2x^2 + 12x +16[/tex] is a multiple of 2. Factoring out the 2, our expression becomes [tex]2(x^2+6x+8)[/tex]. Let's focus on the second term, [tex]x^2+6x+8[/tex]. To factor this, we want to find two numbers that multiply to 8 and add to 6. 4 · 2 = 8 and 4 + 2 = 6, so we can use that fact to split the middle term and factor the quadratic completely:

[tex]x^2+6x+8\\=x^2+2x+4x+8\\=x(x+2)+4(x+2)\\=(x+4)(x+2)[/tex]

Putting that back with the 2 we factored out earlier, our fully factored function is

[tex]2(x+4)(x+2)[/tex]

Answer:. 1/2

Step-by-step explanation: Different ways to get this.

PEMDAS: figure 8 squared is 64 and 2 cubed is 8. Multiply to get 512 in the numerator.

Figure 4 cubed is 64 and (-2)^4=16. Multiply to get 1024 in the denominator. Simplify to 1/2

You could express all the factors as 2 to some power then add and subtract the exponents.

2^6 •2^3=2^9. Over

2^6 • 2^4 = 2^10. Subtract exponents. 2 to the -1 power is 1/2.

Answer:

y = 3/4x

Step-by-step explanation:

We need to find the slope of the line

We have point (0,0) and point (4,3)

m = (y2-y1)/(x2-x1)

    = (3-0)/(4-0)

     =3/4

The y intercept is 0 since it crosses the y axis at 0

The slope intercept form of the line is

y = mx+b

y = 3/4x +0

y = 3/4x

Answer:2/5

Step-by-step explanation:

Answer:

I think its B...not completely sure though

Step-by-step explanation:

Answer:

13 degrees

Step-by-step explanation:

85 and A are opposite hence equal so A = 85

98 and C are equal because they are corresponding angles hence C = 98

B and C are in a straight line so they add up to 180

B = 180-98 = 82

Finally, A and B and X add to 180 because they for a triangle

X+85+82 = 180

X= 13 degrees

Answer:

c

Step-by-step explanation:

because its 0=>-4

which means 0-4

and then its -4-6

which is -10

Answer: angle 2 is 75 degrees and angle 1 is 105 degrees

Step-by-step explanation:

Answer:

75 and 105

Step-by-step explanation:

Answer:

b= 4

Step-by-step explanation:

b-1.6= 2.4

I would add 1.6 to both sides so that b could be on one side. The opposite of -1.6 is 1.6, so b-1.6+ 1.6= 2.4

b= 2.4+ 1.6

Since -1.6+1.6 cancel out, I get b= 2.4+1.6. I add 2.4+ 1.6 to get 4.

b=4

So, b= 4

To check my work I would plug in b back into the equation:

So...

b=4

b-1.6= 2.4

4-1.6= 2.4

Answer:

B=4

Step-by-step explanation:

Hope it will help you!

Answer:

length: 2

width: 2

height: 2

Step-by-step explanation:

I'm assuming this is for a rectangular prism, because you didn't provide a picture.

Answer:

multiply s by t

Step-by-step explanation:

you just multiply s times t and get your answer

Answer:

simply simplify

[tex]\frac{100}{x^{3} }[/tex]

Answer:

x=35

Step-by-step explanation:

the litle square inside of the half circle means its the angle of 90

so just do like that:

90=x+(4x-85)

and u have the answer x=35

He has 32 1 dollar bills and 17 2 dollar bills I THINK

32 + 17 = 49 and 32 + 17(2) = 66

Answer:

32 one-dollar bills

Answer:

1075 ft

Step by step:

25*35 = 875

8*25 = 200

875+200 = 1075

Answer:

8

Step-by-step explanation:

h=3V

πr2=3·410.3

π·72≈7.99607

Answer:

[tex](x+\boxed{6.5})^2=\boxed{18.25}[/tex]

Step-by-step explanation:

[tex]x^2+11x+24=0\\\\(x^2+11x+42.25)-42.25+24=0\\\\(x^2+11x+42.25)-18.25=0\\\\(x+6.5)^2-18.25=0\\\\(x+6.5)^2=18.25[/tex]

Hope this helps!

Answer:

(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

Answer:

(x+6) (x+6)

Step-by-step explanation:

Answer:

(0,10)

Step-by-step explanation:

Step-by-step explanation:

1. A decrease means that the 10,000 will be negative, and therefore the answer is -10,000.

2. Fewer means a decrease, and a decrease means that the 520 will be negative. The answer is -520.

Hope this helps!

Answer:

252

Step-by-step explanation:

I think I may be wrong

The surface area of the triangular prism is: 252 square feet

A triangular prism is a solid three-dimensional shape with three rectangles and two triangles.

Analysis:

Surface area of triangular prism = area of 3 rectangles + area of two triangles

Surface area = 20 x 4 + 20 x 5 + 20 x 3 + 2 x ( 1/2 x 3 x 4) = 252 square feet

In conclusion, the surface area of the triangular prism is 252 square feet.

Learn more about triangular prism: brainly.com/question/1284982

#SPJ2

Answer: 14, 17, 30

Step-by-step explanation:

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations:

a + b > c    &    a + c > b     &       b + c > a

21 + 23 = 44 which is NOT greater than 44

2 + 3 = 5 which is NOT greater than 7

12 + 36 = 48 which is NOT greater than 53

14 + 17 > 30     &    14 + 30 > 17       &     17 + 30 > 14

so these side length form a triangle

pete 23 cars alex 23 alex gains 16 cars then 23 plus 23 equals 46

Answer:

100

Step-by-step explanation:

Answer:

z = 72°

Step-by-step explanation:

Complimentary angles sum to 90° , thus

z + y = 180, that is

z + 18 = 90 ( subtract 18 from both sides )

z = 72°

So the right answer is 72 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment