Sam's height is 15 centimeters less than 2 times Martha's height. If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x − 15 = 185. What is Martha's height?
A.
90
B.
95
C.
100
D.
105

Answer:

[tex] \frac{45π}{2} \: units^{2} \: ≈ \: \boxed{70.7 \: units²} [/tex]

______________________

The correct option is 70.7

Step-by-step explanation:

Since the green and red make a semicircle, the total measure must be 180°.

Since the two green sectors are both 40°.

The red must add up with the green sectors to total 180°.

This means that:

red sector + 80° = 180°.

–80° –80.

red sector = 100°.

To find the area of a sector, we must first understand the area of the circle itself which is πr², where r is the radius.

Since a full circle is 360°.

(360° / 360°)( πr² ) will be the area.

Or in radians: (2π rad / 2π rad)( πr² ).

From here, we can create the formula:

Area of a sector = ( n° / 360° ) ( πr² ). Where n is the measure or the sector in degrees, and r is the radius.

You may also know that the diameter is twice the measure of the radius.

This means that if we are given a diameter of 18 units from the problem, the radius will be 18/2 or 9 units.

Lastly, all we have to do is substitute all this information to find the area of sector.

Area of the red sector = ( n° / 360° ) ( πr² ).

Area of the red sector =

( (100°) / 360° ) ( π(9)² ).

Area of the red sector = ( 5 / 18 ) ( 81π )

Area of the red sector = ( (5)(81π) / 18 )

Area of the red sector = ( (405π) / 18 )

Area of the red sector = ( 45π / 2 ) units²

Area of the red sector =

(141.371669412.. units²) / 2

Area of the red sector =

70.6858347058.. units²

Area of the red sector ≈

70.7 units²

Answer:

Step-by-step explanation:

Volume of pot = πr²h

                       = 3.14 * 10 * 10 * 20

                       = 6280 cubic cm

1000 cubic cm = 1 litre

6280 cubic cm = 6.28 litre

∵ 2.5 litres will fit in the pot as the capacity of pot is 6.28 litre

Answer:

You can just type it in the calculator. 1/2=0.5 so 1 - .05= 0.5 . Lmk if there is more to the question!

Step-by-step explanation:

Answer: A because its always A

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer: bro i cant see it can you make it lighter

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.

To get the scale factor you have to compare the sides.

Line AD = 6 in.

Line MP = 4 in.

6/4 = 3/2

Answer:

105 rabbits

Step-by-step explanation:

Multiple 5 percent by six days

5%x6=30%

150 rabbits --- 100%

x ----- 30%

100x=150x30

100x=4500 : 100

x=45

150-45=105

Answer:

880

Step-by-step explanation:

I've taken 5/105 divided and gotten 20.I have taken 20 * 6 which is the decrease so that you can get after six days how many rabbits were decreased and 150 * 6 that you can get how many rabbits are there in 6 days.then I took 900 - 120 i go 880 rabbits hope that helps.

Answer:

The numbers are 19 and 5

Step-by-step explanation:

Given

Let the numbers be [tex]x\ and\ y.[/tex]

So:

[tex]x = 9 + 2y[/tex] --- First statement

[tex]x*y = 95[/tex] --- second statement

Required

Find x and y

Substitute [tex]x = 9 + 2y[/tex] in [tex]x*y = 95[/tex]

[tex](9 + 2y) * y = 95[/tex]

[tex]9y + 2y^2 = 95[/tex]

Rewrite as:

[tex]2y^2 + 9y - 95 = 0[/tex]

Expand

[tex]2y^2 -10y +19y- 95 = 0[/tex]

Factorize

[tex]2y(y -5) +19(y- 5) = 0[/tex]

[tex](2y +19)(y- 5) = 0[/tex]

Solve for y

[tex]2y + 19 =0[/tex] or [tex]y - 5 = 0[/tex]

[tex]2y = -19[/tex] or [tex]y = 5[/tex]

[tex]y = -\frac{19}{2}[/tex] or [tex]y=5[/tex]

Since the numbers are positive, we take only:

[tex]y=5[/tex]

Substitute [tex]y=5[/tex] in [tex]x = 9 + 2y[/tex]

[tex]x = 9 + 2 * 5[/tex]

[tex]x = 9 + 10[/tex]

[tex]x = 19[/tex]

The numbers are 19 and 5

Answer:

147

Step-by-step explanation:

Length x Width = base

Base x Height = Volume

Answer:

1/4

Step-by-step explanation:

Two Heads = HH,

From four options one of them is HH,

So likely the answer is 1/4,

Hope this helps!

Answer:

The percentage in mark up is 503.56%.

Step-by-step explanation:

The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.

In this question:

Cost: 1.49

Change: 8.99 - 1.49 = 7.5

Percentage change:

(7.5*100%)/1.49 = 503.56%.

The percentage in mark up is 503.56%.

Step-by-step explanation:

Given Area of Circle B = Area of Circle A

Given r = 1/2d = 1/2(16) = 8 in

and Area of Circle =

[tex]\pi {r}^{2} \\ = (3.14) ({8}^{2} ) \\ = (3.14)(64) \\ = 200.96 {in}^{2} [/tex]

Answer:

y=5x

Step-by-step explanation:

The slope of the line is the same as the original equation, with the 3 just shifting the line down 3 spots on the y axis.

Answer:

t = 45

Step-by-step explanation:

[tex]\frac{t}{15} = \frac{3}{1}[/tex]

t × 1 = 15 × 3

t = 45

Answer:

The answer is d, 2/3y-6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

HOPE THIS HELPS YOU!

brainliest?

Answer:

w = 3.39 in

l = 13.56 in

Step-by-step explanation:

46 = w(4w) = 4w²

w² = 11.5

w = 3.39 in

l = 13.56 in

Answer:

D: 39.71 pi m cubed

Step-by-step explanation:

To find the volume of a cylinder, you must use the equation V=pi times the radius squared times the height.

Answer:

9.25

Step-by-step explanation:

For the mean, you have to add all and divide it by the numbers.

7 + 12 + 8.50 + 10 + 7 + 8 + 10.50 + 11 = 74

74 divided by 8 = 9.25

Answer: 1/2x

Step-by-step explanation:

Answer:

19 degrees

Step-by-step explanation:

Sum of 2 angles is complementary,

x + 71 = 90

x = 90 - 71

x = 19 degrees

Answer:

I believe the answer is D coorrect me if im wrong

Step-by-step explanation:

if im right brainliest?

or 5 stars and heart

Answer:

27 cm³

Step-by-step explanation:

A = 6 a²

V = a³

V=6A3/2

36=6·543/2

36≈27cm³

Hope this helps! Pls mark brainliest

Answer:

Upper left is 9, upper right is 9, lower left is 21

Step-by-step explanation:

They tell us there are 9 birds that are yes fly and yes fish, so that’s the upper right.

They tell us there are 18 yes fish total. Subtract the 9 from the upper right, and that leaves 9 for the upper left.

They tell us there are 39 birds total.

39 - 18 (all fish eaters) - 4 (no fly, no fish) = 17 that can fly but don’t eat fish.

Make sense? lmk if you have questions