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find each missing length. give all answers in the simplest radical form.

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:

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

Answer:

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

Answer:

1 6/8 cups of flour

Step-by-step explanation:

Just subtract 2 1/8 from 3 7/8

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:

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

Answer:

A

Step-by-step explanation:

The root 5's cancel each other out.

4x-2x = 2x

Therefore

2x/3 is the final answer

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

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:

14.8%

Step-by-step explanation:

Given data

Initial income=47

Final income=40

The change= 47-40

=7

Hence the percent increase is

% increase= Change/ initial*100

% increase= 7/47*100

% increase=0.148*100

% increase=14.8%

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:

AREA=PI*6*6 THUS THE RADIUS IS 6 CM. C=37.68 CM.

Step-by-step explanation:

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

9514 1404 393

Answer:

  (c) 5.4°

Step-by-step explanation:

We can simply determine the difference between the angles of the vectors:

  arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°

The angle between the vectors is about 5.4°.

__

Alternate solutions

1) We could also determine the angle of their ratio.

  u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i

  angle = arctan(0.1/1.05) = 5.440°

__

2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))

  tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))

  = (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2

  ∠u -∠v = arctan(2/21) = 5.440°

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:

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

Answer:

11 inches

Step-by-step explanation:

Volume of a box is:

[tex]l * w * h[/tex]

[tex]8 * 3 * h = 264\\\\24*h=264\\\\\frac{24*h=264}{24} \\\\\boxed{h=11}[/tex]

The height is 11 inches.

Hope this helps.

Volume of the box = LWH.

Let V = 264

264 = (8)(3)(H)

264 = 24H

264 ÷ 24 = H

11 = H

The height of the box is 11 inches.

Answer:

tip = $15.128

Step-by-step explanation:

tip = 75.64 × 20/100

tip = 1512.8/100

tip = $15.128

Answer:

D = 1

Step-by-step explanation:

0.99949

round the answer so its 1

diameter = 1

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

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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:

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:

Im not sure Im sorry Im just trying to get points but I will send to a friend to help

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

The value of |−37| is 37

however, since the negative sign is in front of the absolute value,

−|−37| = -37

Therefore,

−|−37| does not equal 37

The given statement −|−37| = 37 is false.

Given that, −|−37| = 37.

We need to whether the given statement is true or false.

The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.

Now, |−37|=37

So, -|−37|=-37

Therefore, the given statement is false.

To learn more about an absolute value visit:

https://brainly.com/question/1301718.

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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:

2x+1+4x-19=180, 6x-18=180, 6x=198, x=33