An individual head of sprinkling water system covers a circular area of grass with a radius of 25 ft the yard has three sprinkler heads the each cover a circular area with no overlap. What is the approximate total area that will be watered

Answer:

2nd

Step-by-step explanation:

The equation of a line that is tangent to circle A from point C (9, 8) will be option C; y = x − 1.

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

Given; Circle A is located at (6, 5) and has a radius of 3 units.

The slope;

m = (8- 5)/(9 -6) = 1

Substitute in the equation of line;

y = mx +c

8 = 1(9) + c

8 - 9 = c

c = -1

So, We get

y = x − 1

Hence the equation of a line that is tangent to circle A from point C (9, 8) will be option C; y = x − 1.

Learn more about equations here;

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Answer:

[tex]3 + 3 + 3 =9 [/tex]

[tex]5 + 5 + 5 + 5 =20 [/tex]

[tex]5 + 5 + 3 =13 [/tex]

[tex]3 + 3 + 3 + 5 = 14[/tex]

[tex]5 + 5 + 5 =15 [/tex]=15

[tex]5 + 5 + 3 - 3 =10 [/tex]

[tex]5 + 5 + 3 + 3 + 3 =19 [/tex]

Answer:

Step-by-step explanation:

3+3+3=9

5+5+5+5=20

3+3+3+5=14

5+5+5=15

5+5+3-3=10

5+5+3+3+3=19

Answer:

58 percent is one of them

Step-by-step explanation:

105 freshman divided by 180 students total

Answer: 800 cm

Step-by-step explanation:

8x100= 800cm

you multiply 100 times how many meters you have youll get centimeters

Answer:

800

Step-by-step explanation:

Multiply the length value by 100

Answer:

b

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that the committee will be made up of all math teachers  = total number of maths teacher / total number of teachers

7 / 12

Answer:

It's on the third at the picture

Step-by-step explanation:

hope it helps make brainlliest ty the

answer:

perimeter- 12 units

area- 4.5 units

step-by-step explanation:

perimeter-

p=4a

=4*3

=12

area-

a=pg/2

=3*3/2

=4.5

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

The gradient of the line passing through the points (4·a, -a) and (6·a, 5·a) is 3

Step-by-step explanation:

The gradient of a (straight) line given the 'x' and 'y' coordinates of two points on the line, (x₁, y₁), and (x₂, y₂) can be found using the following formula;

[tex]The \ gradient \ of \ a \ line, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The coordinates of two points on the given line are;

(4·a, -a), and (6·a, 5·a)

Therefore, we get;

[tex]The \ gradient \ of \ the \ line =\dfrac{5\cdot a-(-a)}{6 \cdot a-4 \cdot a} = \dfrac{6\cdot a}{2 \cdot a} = 3[/tex]

The gradient of the line = 3.

Answer:

profit %=35%

cp=Rs15

sp=?

profit amount =?

now,

sp=35%of cp

=35 of 15

__

100

= 5.25

again,

sp =cp + profit

=15+5.5

=20.5#

Step-by-step explanation:

hope it helps

n^2 + 10n + 25           can be factored as (n+5)^2 , so yes

9x^2 - 24x + 26     can be factored as (3x-4)^2, so yes

Answer:

Step-by-step explanation:

The answer is x= 7/2

decimal form 3.5

Answer:

1. -3

2. 0/4 or 0

3. -2/3

4. -4/-3

Step-by-step explanation:

Answer:

1. The slope is -3

2. The slope is -1

3. The slope is -1/2

4. The slope is 4/3

Answer:

7 and 12

Step-by-step explanation:

x - y = 5

y = (5+x)

x+ (5+x) = 19

2x +5 = 19

2x = 14

x = 7

           19-7 = 12

12 +7  = 19

12-7 = 5

Answer:

(x - 1)^2 + (y + 2)^2 = 4^2

Step-by-step explanation:

The standard equation of a circle of radius r with center at (h, k) is

(x - h)^2 + (y - k)^2 = r^2

Replacing h with 1, y with -2 and r with 4, we get:

(x - 1)^2 + (y + 2)^2 = 4^2

Answer:

3f + d or d +3f

Answer:

C. x is the variable

Step-by-step explanation:

easy...

Answer:

Cathode Ray tube is the answer I think

Answer:

I think It is the third and fifth.

Step-by-step explanation:

i do not know for sure though.

Answer:

-20 feet

Step-by-step explanation:

change in depth = number of feet below the surface + number of depth on the surface

Because the submarine is below surface, a value of -30 would be given

-30 + 10 = -20 feet

Answer:

C

Step-by-step explanation:

sin = 5/13

cos = 12/13

tan = 5/12

Answer: 6

Step-by-step explanation:

By tallying up the x's in total in 3/8 and 1/2, it would be 6.

Answer:

5 + 2 = 27

Step-by-step explanation:

Answer:

let's take s as student

let's take p as problem

sp as student that has gotten a problem

1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p

5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p

20sp + 1s × 7p

20sp + 7sp

27sp

Answer:

This is a right traingle right? AC =129 is so

Step-by-step explanation:

Answer:

1.  The volume of the cylinder is approximately 0.153 m³

2. 25 cm

3. [tex]25.\overline 6 \ cm[/tex]

4. 16 m

5. 1,785 m³

Step-by-step explanation:

The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid

1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top

The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m

The area of the circular cross-section, A = π·d²/4

∴ A = π × 0.5²/4 = 0.0625·π

A = 0.0625·π m²

The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m

∴ The volume of the cylinder, V = A × h

∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153

The volume of the cylinder, V ≈ 0.153 m³

2. The given volume of the trapezium, V = 8550 cm³

The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively

The height of the trapezium from the diagram, h = 18 cm

The cross-sectional area of the trapezium, 'A', is found as follows;

A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²

The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium

∴ l = V/A

By substitution, we have;

l = 8550 cm³/(342 cm²) = 25 cm

∴ The Missing Length, l = 25 cm

3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³

The area of the (uniform) cross-section of the solid, A = 15 cm²

∴ The length of the solid, 'l', from V = A × l, is given as follows;

l = V/A

∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm

The length of the solid, l = 25.[tex]\overline 6[/tex] cm

4. From the diagram, we have;

The cross-sectional area of the solid, A = 216 m²

The length of the solid, l = 16 m

5. The cross-section of the solid can  can be assumed to be either;

1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.

2. A triangle located above a rectangle

For scenario one, we have;

The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25

For scenario two, we find 'A' as follows;

A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25

∴ The cross-sectional area of the solid, A = 89.25 m²

The length, 'l', of the solid, is given as l = 20 m

The volume of the solid, V = A × l

∴ V = 89.25 m² × 20 m = 1,785 m³

The volume of the solid, V = 1,785 m³.

Answer:

1 / 30

Step-by-step explanation:

For a six - sided die :

Sample space = (1, 2, 3, 4, 5, 6)

P(rolling a 1) = required outcome / sample space = 1/6

Sample space for spinner = (A, B, C, D, E)

P(spinning A ) = required outcome / sample space = 1/5

P(spinning A) = 1 / 5

P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30

Answer:

117π=367.38

Step-by-step explanation:

r=d/2=3

V=πr2h=π·3²·13=117π=367.38