Make b the subject of P = 1/2 a b² + c where b is positive. (3 marks)

Answers

Answer 1
That’s the answer to the question

Related Questions

A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the experiment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:

Answers

Answer:

quantitative manipulation of the independent variable

Consider the two triangles.
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To prove that the triangles are similar by the SAS
similarity theorem, it needs to be shown that
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Answers

Answer:

By Both

Step-by-step explanation:

You have all 3 corresponding sides are proportional so you have SSS.  That is

24/8=15/5=18/6

You also have SAS because 15/5=18/6 and you have the angle between the sides that I'm referring to in that proportion.

To prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From definition of similar triangles the 3 corresponding sides are proportional so you have SSS.  

Such that  24/8=15/5=18/6

We also have SAS because 15/5=18/6 and you have the angle between the sides.

Hence, to prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ7

3-14. Do you think that an area model can help rewrite expressions that involve multiplication? The area model below relates the expressions and . With your team, discuss how it can be used to show that these expressions are equivalent. Be prepared to explain your ideas.

Answers

Answer:

Step-by-step explanation:

BRAINLIEST
Solve for X. Round to the nearest tenth.

Answers

Answer:

a=180-(45+37)

b=180-(9+24)

c=180-(42+64)

d=180-(70+13)

A 60.1
B 3.7
C 20.5
D 13.8

Marian is making accessories for the soccer team. She uses 666.12 inches of fabric on headbands for 36 players and 3 coaches. She also uses 310.68 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?





I need help with this

Answers

Answer:

answe is about 23. something

Step-by-step explanation:

Elisha is renting a limo to take her friends out for her birthday. The limo company charges a reservation fee of $129 and $65 per hour. Her total bill was $584. Write and solve an equation to find the number of hours, h, Elisha rented the limo

Answers

65h+129=584
584-129= 455
455/65= 7 hours she rented the limo

there are between 30 and 40 sweets in a bag . ben and daisy share the sweets in the ratio of 4:5. there are no sweets remaining in the bag .
how many sweets were in the bag to begin with

Answers

Answer: 36.

Step-by-step explanation:

4+5 = 9


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Answers

Answer:

Step-by-step explanation:

step by step explanation

Answer:

P = 9/25

Step-by-step explanation:

yeah-ya........ right?

find the sum
(2x+6)+(4x-12)
HELp

Answers

Answer:

6x - 6

Step-by-step explanation:

(2x + 6) + (4x - 12) ← remove parenthesis

= 2x + 6 + 4x - 12 ← collect like terms

= (2x + 4x) + (6 - 12)

= 6x + (- 6)

= 6x - 6

using the number 2, 4, 6 and 8 write an expression that equals 60

Answers

Answer:

(8-2)(4+6)

Step-by-step explanation:

1. (8-2)(4+6)

6x(4+6)

2. 6x10

3. =60

Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG

Answers

Answer:

4+1+4+g=36

g=27

dg=32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

DE : EF : FG = 4 : 1 : 4

DG = 36

DG = DE + EF + FG

-> 4x + x + 4x = 36

9x = 36

x = 4

so EG = EF + FG

= x + 4x

= 5x

= 20

This scatter plot shows the height of a card tower and the amount of time used to build it (in minutes).
Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?

Answers

Answer:

It’s 7 inches

Step-by-step explanation:

I hope this helps

Following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is:

5 inches.

Recall:

A scatter plot can be used to make prediction as it shows how two variables are related.

From the scatter plot given, it shows that as the amount of time increase, the height of the card tower also increases.

Therefore, following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is: 5 inches.

Learn more about scatter plot on: https://brainly.com/question/20647477

f(x)=2x-6 answer please

Answers

Answer:

well that's already the slope and your i-intercept would be -6

Step-by-step explanation:

84 = 4(1– 49)

please give an explanation

Answers

Answer:

give me more information on this

i need help with two questions please, guathmath doesn't seem to help!

Answers

The pink bar graph is 150

9. What are all the values for y?Plug in the x value into the equation to find 1 point
y. Equation is y=-2x + 1*

Answers

Answer: C

Step-by-step explanation: see picture

.1.3 Jennie has $200 and she spends $30. What percent of her
money is spent?
zoo
A) 15%
B) 30%
30
C) 66%
D) 85%

Answers

Answer:

A

Step-by-step explanation:

To change a fraction to a percentage, multiply by 100%

[tex]\frac{30}{200}[/tex] × 100%

= 0.15 × 100%

= 15% → A

Its 30% because if you subtract 30 from 200 you get 170 and 66% and 15% are too big and small so 30% your welcome

Judy is trying to stack books on a shelf that is 20 inches tall. If each book is 4/5 inches thick, how many
books can she stack on the shelf?

Answers

49 because she can stack more ty

George bought 2.45 pounds of tofu and 1.62 pounds of fish. How many more pounds of tofu did he buy than fish.

Answers

Answer:

0.83 pounds

Step-by-step explanation:

2.45 take away 1.62

When finding a critical T value for 95% confidence and a sample size of 30, how many degrees of freedom are there?

Answers

Answer:

29

Step-by-step explanation:

The formula for calculating degrees of freedom in a t-test is n-1 where n is the sample size. Therefore, there are 30-1=29 degrees of freedom if the sample size is n=30.

A man's age is three times his son's age. Ten years ago, he was five times his son's
age. By forming two equations and solving them simultaneously, find both of their ages.

Answers

Answer:

Step-by-step explanation:

son age be x

Aman age is 3x

ten years ago

son age x-10

aman age 3x -10

A.T.Q

5(x-10) = 3x -10

5x -50 = 3x - 10

2x = 40

x =20

3x=60

son present age =20

aman present age = 60

find the solution to the system of equations

-9x+8y=-26

-9x-6y=-12

first answer gets brainliest! :)

Answers

Answer: y=-1 and x=2

Step-by-step explanation:

-9x+8y=-26

-9x-6y=-12

Subtract

14y = -14

Divide by 14

Y=-1

Substitute y=-1 into the equation

-9x-6(-1)=-12

-9x+6=-12

Subtract 6

-9x=-18

Divide by -9

X=2

50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?

Answers

The common difference d is

(41–11) / (10–5) = 6.

The first term is

11 - 6(5–1) = -13.

so , the first term is -13

Answer:

-13

Step-by-step explanation:

The fifth term:

[tex]a_5=a+4d = 11[/tex]

The 10th term:

[tex]a_{10}=a+9d=41[/tex]

Subtract side-by-side and find d:

9d - 4d = 41 - 115d = 30d = 6

Find the first term:

a = 11 - 4*6 a = 11 - 24a = - 13

Find the y-intercept and then write the linear equation for the line passing
through (-12, 5) with m = -2/3,


Answers

Answer:

Y-intercept: -3

Equation: y = -2/3x -3

Step-by-step explanation:

Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept

Substitute m with -2/3, your equation should now be y = -2/3x + b

To find the y-intercept, plug in the point (-12,5) and solve for b.

1. 5 = -2/3(-12) + b

2. 5 = 8 + b

3. b = 8 - 5

4. b = 3

hey guys did I get any of these right, if not pls help me.

Answers

i think all of it are correct

Answer:Yep! All of them are right! Great job!

Step-by-step explanation:

can someone pls give me an example of an area of a trapezium

Answers

Answer:

I got this from one of my textbook for the previous years

Hope this helps:)

Which of the following rules could represent the function shown in the table?

Answers

Answer:

f(x) = 2x + 1.

Step-by-step explanation:

In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).

Let (x₁, y₁) = (0, 1)

     (x₂, y₂) = (1, 3)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - 1)/(1 - 0)

m = 2/1 = 2

Therefore, the slope of the function is, m = 2.

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.

Therefore, the function rule that represents the given table of values is:

f(x) = 2x + 1.

Luke was trying to expand his game collection. He bought six games from a friend and
bought fifty more at a garage sale. If twenty-five of the games didn't work, how many
good games did he end up with?

Answers

Answer:

he would end up with 25 good games left

Answer: the answer is 31!

Step-by-step explanation: add 6 plus 50 to get 56 then subtract 25 to get 31!

can someone please help me!! this assignment is due at 11:59 I need this done

Answers

Answer:

X~~21.98

Step-by-step explanation:

We use tangent here, as we have opposite and adjacent sides. (tan = opp/adj)

tan (20) = 8/x. Using a calculator, we get x is about 21.98

Pls solve this, it’s math


And only if you know the answer pls

Answers

Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since  [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)

[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y

Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].

From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.

-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.

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