Mathematics High School

Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the distance from E to F. The area of triangle ACF is 180 cm2. How many square centimeters is the shaded area of triangle BCE?

Answers

Answer 1

Answer:

Step-by-step explanation:

area of triangle ACF is (1/2) (AC) (CF) = 180

area of triangle BCE = (1/2) (BC) (CE)

BC = AC/2

CE=(2/3) CF

so (1/2) (BC) (CE) = (1/2) (AC/2) (2/3)CF = (1/2)(2/3)(180) = 60 sq cm

Related Questions

Lily made a scale drawing of a house and its lot. The scale she used was 7 inches = 3 feet. What is the scale factor of the drawing?

Answers

Answer:

Step-by-step explanation:

7/3 inches = 1 ft

According to the recipe, 2 1/2 cups of chocolate chips are needed to make a large batch of cookies. Manuel decided to make only 1/3 of the cookies. How many cups of chocolate chips will Manuel need?

Answers

Answer:

Step-by-step explanation:

No exact amount of cookies so if its a large batch we'll say there is 45 cookies 45 divided by 1/3 is 15

So 15 divided by 2 1/2 = 6

So your answer is 6.

Use the coordinate grid to determine the coordinates of point P:
What are the coordinates of point P?

Answers

Answer:

The coordinates are (1.4, -0.8)

An oil well pumps 20 gallons of oil every minute. How long will it
take for the well to pump 100 gallons of oil?

Answers

Answer:

It will take 5 minutes to pump 100 gallons of oil

A plumber charges a one-time fee of $50 plus a fixed hourly rate (h) in dollars. The plumber works at a customer's house for 2 hours and charges a total of $100. Find the hourly rate the plumber charges.

Answers

Answer:

$25 an hour

Step-by-step explanation:

use this equation y = hx + 50

y is the money earned and x is the hours worked

plug in 100 for y and 2 for x

100 = 2h + 50

solve for h

50 = 2h

25 = h

he charges $25 an hour

What’s 3+2? Sorry ;)

Answers

It is 5, I hope this answers your question

I need the answer pls it is due in 10 minutes

Answers

Answer:

she never brought her cost up when they got another cup cake it should

x y

1 3.50

2 7

3 10.50

4 14

i ant really graph them

Step-by-step explanation:

if Mr Green drives 100 miles in 2 hours. he continues to drive at the same speed if he doesn't stop how long will it take mr green to drive 400 miles

Answers

Answer:

8 hours

Step-by-step explanation:

1 - 50 miles

2 - 100 miles

3 - 150 miles

4 - 200 miles

5 - 250 miles

6 - 300 miles

7 - 350 miles

8 - 400 miles

and so on hope this helps

A circle is graphed on a coordinate grid. Its center is at (3, 4), and the circle passes through point (3, 1). What is the approximate area, in square units, of the circle? (Use 3.14 for π.)

Answers

Answer:

it is either 18.84 or 31.40

Step-by-step explanation:

just do it in your head

The area of the circle is 28.26 square units

The center of the circle is given as:

[tex](a,b) = (3,4)[/tex]

The circle passes through the following point

[tex](x,y) = (3,1)[/tex]

Start by calculating the radius using the following distance formula

[tex]r = \sqrt{(x -a)^2 + (y - b)^2}[/tex]

So, we have:

[tex]r = \sqrt{(3 -3)^2 + (4 - 1)^2}[/tex]

[tex]r = \sqrt{9}[/tex]

Square both sides

[tex]r^2 = 9[/tex]

The area of the circle is then calculated as:

[tex]Area = \pi r^2[/tex]

So, we have:

[tex]Area = 3.14 \times 9[/tex]

[tex]Area = 28.26[/tex]

Hence, the area of the circle is 28.26 square units

Answers

Answer: [tex] \sqrt{8} = \sqrt{4 \times 2} [/tex][tex]2 \sqrt{2 } + \sqrt{2} [/tex][tex]2 \sqrt{2} + 1 \sqrt{2} [/tex][tex]3 \sqrt{2} = 3 \times 2 {}^{ \frac{1}{2} } [/tex]

ASAP GUYS PLEASE (and girls)

Answers

Answer:

its B its like the only one that makes sence

Find the equation for the line that passes through
(1,6)that has slope −2 . Give your answer in point-slope form. You do not need to simplify.

pls hurry I need help I will give brainliest

Answers

Answer: answer in pic

Step-by-step explanation:

look at my image I need to find y

Answers

your answers would be -5 , -4

How do you solve for X?

Answers

Answer:

<L+<M+<N=180

<NLM and <XLN are supplementary meaning their angle measure add to 180.

therefore,44+46+L=180

90+L=180

l=90

If l=90 then the <NLX is also 90 since they are supplementary angles

therefore, 3x+42=90

3x=48

x=16

Step-by-step explanation:

Factor the following expression: x^2+3x

Answers

X(x+3)

I haven’t done this but hope this works

In the diagram at right, which letter, with regards to W, is the angle of depression?

Answers

Answer:

Step-by-step explanation: i think

which of the following methods can be used to determine if a relation is a function?? Select all that apply.

A. Write out the relation in an x-y table and check that each x-value corresponds to the only one y - value.

B. Write out the relation in an x-y table and check that each x-value corresponds to the only one x - value

C. Graph the relation on a coordinate plane and check that it passes the vertical line test.

D. Graph the relation on a coordinate plane and check that it passes the horizontal line test.

Answers

Answer:

B) Write out the relation in an x-y table and check that each x-value corresponds to the only one x - value

Carla and Rob left a 15% tip after having lunch at a restaurant. The amount of the tip was $3. Carla’s lunch cost $12. Write an equation you can use to find x, the cost of Rob’s lunch.

Answers

Answer:

0.15(x + 12) = 3

Step-by-step explanation:

The cost of the lunch before the tip was 12 + x

The tip is 15% of the cost of lunch: 0.15(x + 12)

The tip was $3

0.15(x + 12) = 3

Which is an equation for the line that contains (-1, -2) and has a slope of -5?

Answers

the equation would be y = -5x - 7

A high school is designing a new football field. The field is 125 meters long, including the end zones. If 1 meter = 3.2 feet, how long, in feet is the length of the football field?
Group of answer choices

A: 200 ft

B: 400 ft

C: 40 ft

D: 80 ft

Answers

The answer is B. 400 ft

125 x 3.2 = 400

The answer would be B.

it's a two step equation

Answers

Answer: -15=x

Step-by-step explanation: subtract 10 on each side then divide -5 on both sides to isolate the variable

-5x=+10-85

5x=-75

x=-75/5=> x= -15

(24 = 3) + 3 + 33
Your answer

Answers

33+3 is 36
36+(3=24)
39=24

They don’t equal each other

No solutions

Write the expanded form of the expression.
3(4x - 6)

Answers

Answer:

12x-18

Step-by-step explanation:

expanded expression 3⋅x⋅2⋅x+3⋅x⋅4+2⋅x+4

expanded and reduced expression 4+14⋅x+6⋅x

Julie went to the 10%
off store and bought 3
candy bars for $1.30 each,
a loaf of bread for $2.90,
and 2 cases of Dr. Pepper
for $6.50 each. How
much will she save with
the 10% discount?
HELLP pls answer my other questions

Answers

Answer:

1.98 i think

Step-by-step explanation:

you add everything, divide by 10.

The disks of polish kielbasa measure to be 1/4 of a inch. If there are 36 disks altogether, what is the total length of polish keilbasa being using? White a number sentence to go with your answer. Write it in the simples form

Answers

Answer:

9 inches

Step-by-step explanation:

The disks of polish kielbasa measure to be 1/4 of a inch. If there are 36 disks altogether, what is the total length of polish keilbasa being using?

The total length of polish kielbasa is calculated as:

1/4 of 36 disks

= 1/4 × 36 disks

= 9 inches

The total length of polish keilbasa being used is 9 inches

What is the value of y in the solution to the system of equations?

One-thirdx + One-fourthy = 1

2x – 3y = –30

Answers

Answer:

y-value = 8

Step-by-step explanation:

1/3x + 1/4y = 1 is the same as 4/12x + 3/12y = 1

which is the same as (4x + 3y)/12 = 1

which is the same as 4x + 3y = 12

add both equations and the 'y' will cancel and you will have 6x = -18

x = -3

2(-3) - 3y = -30

-6 - 3y = -30

-3y = -24

y = 8

Answer:8

Step-by-step explanation:

Three friends eat lunch together. the bill comes to $21 plus 10% tax. If they split the bill and tax evenly, then how much will each person owe?

Answers

Answer:

i think they'll owe $7.7...if it's wrong i'm sorry !

Step-by-step explanation:

i added $21 plus 10% then divided by 3 and got 7.7 .

Which is an equation?

Answers

Answer:

Step-by-step explanation:

because it has an equal sign

Answer:

Step-by-step explanation: becuase it has an equal sign

What point is on both lines y=12x+3 and y=x+1

(no graph)

Answers

Step-by-step explanation:

by having two equations that have the same point, you can set the two equations equal to each other

y = 12x + 3, y = x + 1

12x + 3 = x + 1

11x = -2

x = -2/11

when you find the the x value, plug it back into either one of the equations

y = x + 1

y = (-2/11) + 1

y = 11/11 - 2/11

y = 9/11

the point (solution):

(-2/11, 9/11)

Answer:

(-2|11, 9|11)

Step-by-step explanation:

hope it helps

1. through (0,-1) slope= -1
2. through (-5,4) slope= -2
I don't know how to solve them I need help ASAP!

Answers

Answer:

Step-by-step explanation:

I will give you equations in slope intercept form

y=-x-1

y= -2x - 6

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