Which applies the power of a product rule to simplify (50) ?
(50) 3 - 56
(51) 3 = 3(57) - 154
(50 ° - 5373 = 1251
(50) 3 - 5 t = 1251

9514 1404 393

Answer:

  17) x = 10√2

  18) x = 4√6

Step-by-step explanation:

These problems rely on your knowledge of the side ratios of special triangles

  45°-45°-90° triangle: 1 : 1 : √2

  30°-60°-90° triangle: 1 : √3 : 2

__

17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:

  x = 10√2

__

18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...

  x = (4√3)(√2)

  x = 4√6

Answer:

54 students would have a dog.

Step-by-step explanation:

If 6 out of 10 students have a dog, then multiplying 10 by 9 and 6 by 9 you will get 90 students having a dog.

Answer:

Step-by-step explanation:

Step 1

Find the missing angle:

Step 2

Find the missing sides by using the law of sines:

Step 3

Use Heron's formula for the area:

Find s:

Find A:

Answer:

# yellow = 20

# blue = 23

# red = 5

Step-by-step explanation:

let 'r' = # red marbles

let '4r' = # yellow marbles

let '3+4r' = # blue marbles

r + 4r + 3 + 4r = 48

9r + 3 = 48

9r = 45

r = 5

red = 5

yellow = 4(5) = 20

blue = 3+4(5) = 23

Answer:

a

Step-by-step explanation:

Add 4 minutes to the 24 minutes each day. Multiply the number of minutes by the time.

Answer:

35

Step-by-step explanation:

This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.

C(n,r)=C(7,3)

=7!(3!(7−3)!)

=7!3!×4!

= 35

Finally, we can see that the total number of possible outcomes is 35

Answer:

If y = 2x - 5, and x = 3z, then y = 6z - 5

B is standard form. y=1/2x + 2

Answer:

d.-7x+2y=9 that is the answer

Answer:

8

Step-by-step explanation:

If I am doing this correctly you count all the dots the triangles lines are on. Which is 8 to find the area. Hope it helped have a wonderful day!

Answer:

C. 100

Step-by-step explanation:

Answer:

70

Step-by-step explanation

Find the diagram attached

Average = Sum of scores/sample size

Given the 7 numbers

20, 20, 20, 30, 80, 80, 80

Average = 50

5 = 20+20+20+30+80+80+80+x/8

x is the score of the 8th student

50 = 330+x/8

400 = 330+x

x = 400-330

x = 70

Hence the score of the 8th student is 70

Answer:

22,815

Step-by-step explanation:

35% of 35,100 is 12285, then you subtract that from 35,100 to get 22,815. Hope this helps.

Answer:

a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour

Answer:

We have to use the formule to calculate the vertex which is: V(-b/2a;4ac-b^2/4a)

A) y=x+7 where a=1 b=0 and c=7

By replacing we have: V(0;28/4) V(0;7)

B) y=-x where a=-1 b and c=0 so V(0,0)

Well the half point of 427 and 428 is 427.5 so 427.5.

Answer:

tip = $15.128

Step-by-step explanation:

tip = 75.64 × 20/100

tip = 1512.8/100

tip = $15.128

Draw point A anywhere on this line.

Draw point B on line l, at the distance 12

from point A.

Using a compass, draw a circle with the center in point A and radius

9

Using a compass, draw a circle with the center in point B

and radius 7

Answer:

Please find the attached file of the given graph:

Step-by-step explanation:

Answer:

x= 5

Step-by-step explanation:

Using the Side Splitter Theorem, we will make a proportion using the values given:

Afterwards, you can check to see that 20/10 is equal to 44/22.

Answer:

x < 3

Step-by-step explanation:

The line is moving to negative so the number is less than 3

the white circle (or opened circle) indicates that we do NOT include that number so it is x < 3

Answer: 3

Step-by-step explanation:

Vince will have to buy three cartons of 500 ml each.

An expression in mathematics is a combination of terms both constants and variables.

Given is that every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500 milliliter cartons at the store.

We know that -

1 Liter = 1000 milliliters

1.5 liter = 1500 liters

Now -

1 carton 500 ml.

Then, 1 ml will be in (1/500) carton.

So, 1500 ml will be in (1/500 x 1500) = 3 cartons

Therefore, Vince will have to buy three cartons of 500 ml each.

To solve more questions on algebraic expressions, visit the link below -

https://brainly.com/question/27911936

#SPJ2

Answer:

E=8h

Step-by-step explanation:

Becuase the earings equal the $8 times the amount of hours she worked.

Answer:

Step-by-step explanation:

a solution is where both of the lines meet.  or they have the same point on each line. so you can set the equation of each line equal to the other.

for this  "solution" just look at the graph and see where the two lines meet.. and find the x coordinate of that point.

I see it meeting at x =2     get it?

Answer:

A.

Step-by-step explanation:

Answer:

sample

Step-by-step explanation:

Answer:

first one............

Answer:

Yes

Step-by-step explanation:

Being proportional means that if you divide the Y value by the X number for each ordered pair, they all equal the same number

For this case, this is proportional because you need to multiply by 6 to get the Y value.

Answer:

3x^2+7x-20

Step-by-step explanation:

Answer:

expand the brackets

3x^2 + 7x -20

Step-by-step explanation:

(3x-5)(x+4)

= 3x^2 + 12x - 5x + 20

= 3x^2 + 7x + 20