Area of Composite Figures
-1.5 in.
10 in.
A
6 in
4 in.
1.5 in.
17 inches squared
0.40 inches squared
52 inches squared
0 61 inches squared

9514 1404 393

Answer:

Step-by-step explanation:

AC and DE are diameters, so divide the circle into equal portions that have a total angle measure of 180°.

  angle ABD = 180° -angle DBF - angle FBC = 180° -75° -60°

  angle ABD = 45°

angle CBE is a vertical angle to angle ABD, so has the same measure, 45°.

angle ABE is supplementary to angle CBE, so has measure 180° -45° = 135°. Long arc AE is 360° less this value, so is 360° -135° = 225°. Vertical angle DBC has the same measure as angle ABE, so long arc DAE will also be 225°.

angles FBC and CDE add to make angle FBE, so that angle is ...

  angle FBE = 60° +45° = 105°

Answer: 22/25

Step-by-step explanation:

54x+6x-30=7(x+2)+3x

60x-30=7(x+2)+3x

60x-30=7x+14+3x

60x-30=10x+14

60x-10x-30=14

60x-10x=14+30

50x=14+30

50x=44

x=22/25

Answer:

hi

Step-by-step explanation:

i think so,

if the two corresponding sides of one triangle are congruent to the two corresponding sides of the other triangle, and the remaining angles between them are equal, then these triangles are similar.

Have a nice day

here you go hope this helps!

heyy dude just wanted points. so yeah.

Answer:

C

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

If you look at how the chart is flowing, the y values are 2 times the x value.

for example,

1x2=2

2x2=4

3x2=6

and

4x2=8

Therefore, the equation is linear and y=2x

Answer:

b. Linear; y = 2x

Step-by-step explanation:

Answer/Step-by-step explanation:

Problem 1:

E is the centroid of the triangle.

Centroid theorem states that the centroid is ⅔ of the distance of each vertex to the midpoint of the side opposite each vertex.

This implies that:

AE = ⅔(AD)

AE = 21

Therefore:

21 = ⅔(AD)

3*21 = 2(AD)

(3*21)/2 = AD

31.5 = AD

AD = 31.5

Problem 2: Apply the centroid theorem. Thus:

DE = ⅓(AD)

DE = 12

Therefore,

12 = ⅓(AD)

12*3 = AD

36 = AD

AD = 36

Answer:

a

Step-by-step explanation:

Answer:

C) [tex]17\sqrt{13}[/tex]

Step-by-step explanation:

[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]

-2

Divide each term (-4x = 8 by -4)

Cancel the common factor of -4

x = 8/-4

THEN DIVIDE

x=-2

Answer:

D

Step-by-step explanation:

The intersection of the graphs is at (-3,4).

Answer:

(-3,4)

Step-by-step explanation:

we have to find the point in common of the two lines, that is where they intercept.

when we write a point, we have to sign first the coordinate of the x, and then the coordinate of the y.

So the answer is : (-3,4)

Answer:

x>15.5

Step-by-step explanation:

x - 10.2 > 5.3

Add 10.2 to both sides

x-10.2+10.2>5.3+10.2

Simplify getting the answer of

x>15.5

Answer:

D. Neither Ryan nor Addy

Step-by-step explanation:

Square:

A square is a quadrilateral that has equal sides and all angles equal to 90 degrees.

Rectangle:

A rectangles is a quadrilateral that has equal or unequal  sides and all angles equal to 90 degrees. All rectangles are not squares.

Rhombus:

A rhombus is a quadrilateral that has equal sides and all angles may or may not be  equal to 90 degrees. All squares are rhombus. But all rhombus are not squares.

As both Ryan and Addy have missed out one property of square therefore both of them are incorrect.

Answer:

C

Step-by-step explanation:

Answer:

7 days

Step-by-step explanation:

We need to find bracelets per day.

1 day 2 days

5 bracelets 10 bracelets

since we know how many bracelets she can make per day, all we have to do is divide 35 by 5.

to get 7 days.

Answer:

6% growth

Step-by-step explanation:

The equation =

A = 2300(1.06)⁷

What does 0.06 represent in the equation?

The formula for Exponential growth =

y = a (1 +r)^t

Where

y = Size after time t

a = Initial size

r = Growth rate in Percentage

t = Time t

Equating both Equations together

y = a (1 +r)^t = A = 2300(1.06)⁷

1 + r = 1.06

r = 1.06 - 1

r = 0.06

Converting to percent

r = 0.06 × 100

r = 6% growth rate

Answer:

9

Step-by-step explanation:

Range = Max value - min value

Max value = 6

Min value = -3

Range:

6 - (-3)

6 + 3

9

Answer:

9

Step-by-step explanation:

there are 9 numbers between -3 and 6 ;)

Answer:

c b

Step-by-step explanation:

khan

Answer:

2:1

Step-by-step explanation:

I hope it's helped.......

Answer:

Original ratio:

Boys        Girls

14:42       28:42

Lowest terms:

Boys          Girls

1:3             2:3

Answer:

D) [tex]-2\sqrt{3}[/tex]

Step-by-step explanation:

[tex]5\sqrt{27} =15\sqrt{3} \\\\15\sqrt{3}-17\sqrt{3} =-2\sqrt{3}[/tex]

Answer:

1st and 2nd options

Step-by-step explanation:

Using the method of completing the square to obtain standard form

(13)

Rearrange the given equation so x and y terms are together, that is

x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )

x² + 24x + y² + 30y = - 353

To complete the square

add ( half the coefficients of the x/ y term)² to both sides

x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225

(x + 12)² + (y + 15)² = 16

(x + 12)² + (y + 15)² = 4² ← in standard form

with centre = (- 12, - 15 ) and radius = 4

---------------------------------------------------------------------

(14)

As in number 13

x² - 22x + y² + 16y = - 181

Complete the square

x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64

(x - 11)² + (y + 8)² = 4

(x - 11)² + (y + 8)² = 2² ← in standard form

with centre = (11, - 8 ) and radius = 2

Answer:

I might be wrong but I think it's 180 millimeters.

Step-by-step explanation:

4cm times 5cm times 9cm = 180 millimeters

1. 4cm times 5cm = 0.002 m^2

2. 0.002 m^2 times 9cm = 180 millimeters

Hopes this helps. If not please tell me. I will try to improve.

Answer:

She went over her amount of money on her first two gifts so she has no money left for gift C.

Step-by-step explanation:

Gift A = 10 + 7 + 10 = 27

Gift B = 6 + 2 + 5 = 13

27 + 13 = 40

She went over her amount of money on her first two gifts so she has no money left for gift C???

Did you mean to put that many numbers for each gift or is there some kind of mistake in the question?

Answer: A =a2

Step-by-step explanation:

Answer:

7,000 - 2,386 = 4,614

Answer:

Total cost= $100

Step-by-step explanation:

Giving the following information:

Each box has 10 brooms. Each broom is sold for $ 15

The charity earns $ 50 profit for each box of brooms.

First, we need to calculate the total revenue per box:

Total revenue per box= 10*15= $150

Now, the total cost:

Total cost= total revenue - total income

Total cost= 150 - 50

Total cost= $100

Answer:

y = 3 sin 4x

Step-by-step explanation:

For y = a sin bx,

a is the amplitude which is the crest of the graph. In this case a = 3 from the given graph.

Now, b is associated with the period where; b = 2π/period

From the graph the period which is the time between where the graph crosses the x-axis = π/2

Thus; b = 2π/(π/2)

b = 4

Thus,equation is; y = 3 sin 4x

Answer:

The Notation for each event Not been independent = P( HT ) or P( TH )

Step-by-step explanation:

when A fair coin flipped ; P( H ) = 0.5 and P( T ) = 0.5

Hence when it is flipped twice the possible outcome = 4

= HH , HT , TT, TH

Since Notation for conditional probability = P ( HH )  this shows that each flip is independent

The Notation for each event Not been independent = P( HT ) or P( TH )

Answer: P(H on 2nd flip|H on 1st flip)=P(H on 2nd flip)

Step-by-step explanation: