match the vocabulary with its definition

prime number

composite number

prime factorization

factor tree
​

Answer:

120 degrees

Step-by-step explanation:

Because the triangle is a right triangle, it can be either a 45,45,90 triangle or a 30,60,90 triangle. I tested this problem with each scenerio, and I believe that it is a 30, 60, 90 triangle, with the top angle being 30 degrees, thus, making x=30. For the exterior angle, we'd multiply 4 by 30 to get 120 degrees.

I checked my answer by adding 120 to 60 (that's the degrees of the right hand corner of the triangle), which added to 180 degrees (aka a flat line), which verifies my answer.

I hope this helps! :)

Step-by-step explanation:

.........................

Answer: a = 8.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a boat has the speed = 15 miles per hour

Let the speed of the river = v miles per hour

If the boat is moving down stream, that means boat is traveling with the stream of the river.

So the speed of the boat downstream = (15 + v) miles per hour

Since, speed of the river stream is added with the speed of the boat, it will reach the destination earlier than the expectation.

Answer:   y - 1 = –(x –7)

or   y –5 = –1(x –3)

The attachment shows the graph of these equations (identical)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Subtract the first coordinate from the second coordinate.

Given coordinate points: ​(3​,5) and ​(7​,1)    substitute values:

m= 1 –5 / 7 –3  becomes  m= –4/4   so the slope, m = –4/4

That is –1  The "1" is "understood," so only the negative sign represents the slope  in the equation

To write the equation:  Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a)  Using the second coordinate: (7,1)

y - 1 = –(x –7)

or using the first coordinate:

y –5 = –(x –3)

Answer:

M= 83/66

Step-by-step explanation:

The formula to solve the slope is y2-y1/x2-x1 so ,

-10-73= -83

7-73= -66

-83/-66= 83/66

Answer:

t=2

Step-by-step explanation:

I worked it out and got this answer as well but checked it in a calculator and couldn't send my pic in. I hope its right but if t is with 2 on the denominator then its a whole different answer.

Answer:

Domain: [0,infinity)

Range: (-infinity,-2]

No x-intercept

Y-intercept: (0,-2)

Step-by-step explanation:

Answer:

2 × 10⁵

Step-by-step explanation:

The following data were obtained from the question:

6×10⁹/ 3×10⁴ =?

The above expression can be simplified as follow:

6×10⁹/ 3×10⁴ = 6×10⁹ ÷ 3×10⁴

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

Therefore,

6×10⁹ ÷ 3×10⁴ = (6/3) × 10⁹ ¯ ⁴

6×10⁹ ÷ 3×10⁴ = 2 × 10⁵

Thus, 6×10⁹/ 3×10⁴ is equal to 2 × 10⁵

Answer:

1296

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You have given angle x and the hypotenuse you are asked to find the adjacent side of the triangle so you would be using

Cosθ = Adjacent/hypotenuse.

cos49 = adjacent/4

1.32 = adjacent/4

2.62 = adjacent

VX = 2.6

Remember!

SOH

Sinθ = opposite/hypotenuse

CAH

Cosθ = adjacent/hypotenuse

TOA

Tanθ = opposite/adjacent

Answer:

32.43 (rounded)

Step-by-step explanation:

Answer:

32.4285714

Step-by-step explanation:

11.35/0.35=32.4285714

This is the answer however if your question has asked to round it to two decimal places the answer would be 32.43

i hope this helps

Answer:

Step-by-step explanation:

for this problem we have to

3330/18=185 toothpicks for each row

Answer:

185

Step-by-step explanation:

Divide 3330 by 18.

3330 is the number of tooth pics he has, so divide by how many rows he needs, 18.

Answer:

x= 23

y=7

Step-by-step explanation:

x-y=16

4y-5=x

4y-5-y=16

3y-5=16 add 5 to both sides

3y=21 divide by 3 on both sides

y=7

x-7=16 substitute back in

x=23 added 7 to both sides

so x=23 and y=7

23-7=16

Step-by-step explanation:

49 / 7 - 3.3

= 7 - 3.3

= 3.7

4² - 1 + 8 + 2²

= 16 - 1 + 8 + 4

= 27

Hope it will help you :)❤

Answer:

25% of 16 < 20% of 25. my bad if its wrong

Step-by-step explanation:

Answer:

I and IV

Step-by-step explanation:

I is a graph with three inequalities, not a function.  IV is an algebraic equation, and again, not a function.  

Plzzzz give me Brainliest!!!!!  

Answer:

y = x + 6

Step-by-step explanation:

y = mx + b

Since (0,6) is your y-intercept (or just positive 6), you have your b part of the equation solved.

The line goes up at a continuous rate of up 1, over 1, so they cancel each other out, making the m part of your equation 1.

So, you have y = 1x + 6 and you change it to just y = x + 6 (since x itself automatically has a 1 before it, when it's by itself).

Hope this helps!

Answer:

i believe the answer is 100

Step-by-step explanation:

i divided it by 4

I apologize if this answer is wrong

have a nice day

The length of each side of the playground is 20 ft.

Square in geometry is a special kind of rectangle with four equal sides and four right (90°) angles.

Given is a square playground has an area of 400 square feet.

Area of square playground = 400 ft².

Area of square is given by square of the length of its sides. If 'a' is the side of a square, then mathematically we can write -

A [S] = a²

Using the formula discussed above -

a² = 400

a = √400

a = 20 ft

Therefore, the length of each side of the playground is 20 ft.

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

https://brainly.com/question/16737384

#SPJ2

Answer:32 inches

Step-by-step explanation:

Using the pythagorean theorem

40²= 24²+ b²

simplify

1600 = 576 + b²

subtract 576 from both sides

1024 = b²

square root both sides

32= b

Answer:

6

Step-by-step explanation:

Answer:

im not sure sorry..

Step-by-step explanation:

Answer:

so don't know the equation but it's 15 months. a year and 3 months.

Step-by-step explanation:

so first able, he already has 150 in his saving account. he adds 25$ every month after hai bday. a year has 12 months in which one of them is his birthday. so the rest 11 months he adds 25$. 25×11=275 then 150+275=425 so he needs 75 more dollars to have 500$ 25+25+25=75 so there fore we have 3 more months. so that means that a year and three months. sorry if you didn't understand I'm bad at explaining

Answer:

Build the barn : $35,000 + $40,000 = $75,000

Budgeted for the barn : $75,000 x 80%  = $60,000

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Given: x+y=10

 solution is (7,y)

put x=7 in x+y=10

⇒7+y=10

⇒y=10-7

⇒y=3

Hence, the value of y is 7.

Step-by-step explanation:

I shall not tell u the answer I will frame the question in the simplest form

and after if still u can't understand then feel free to ask me

[tex] - 9 \times { - 1}^{5} \times { \frac{1}{3} }^{2} [/tex]

I hope it helps now

if you can't find the answer you can ask me

I will ALWAYS HELPS TO UNDERSTANDING YOUR ASSIGNMENTS

ENJOY YOUR DAY

#CAPTAINPOWER:)

Answer:

3,125

Step-by-step explanation:

Answer:

8/64 or 1/8

Step-by-step explanation:

2/4 x 2/4 x 2/4 = 2x2x2 / 4x4x4 = 8/64 or 1/8 (both are equiavlent)

Answer: the answer is 0.078, 0. 708, 0.78, 0.87

Answer:

0.078 < 0.708 < 0.78 < 0.87

Answer:x=4 y=2

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(4,2)

Equation Form:

x=4, y=2

Answer:

18 divided by 22 is around 82

60 divided by 70 is around 86

Step-by-step explanation:

So the social studies test she scored higher