Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?

Answer:

3 11/12 in.

Step-by-step explanation:

The radius is simply half of the diameter.

7 5/6  divide by 2 =  3 11/12

Answer:

4x+30

Step-by-step explanation:

Age of Adam=x Age of Beth= x+10 Age of Collin= 2(x+10)

Add like terms

x+(x+10)+2(x+10)= x+x+10+2x+20= 4x+30

Answer:

slope: 10

Step-by-step explanation:

equation: y = 10x + 15

slope = 10

y-intercept = 15

slope is 10 because it's 10 dollars for every hour

y-int is 15 because he had an additional fee of 15 dollars

Answer:

(7,6)E=-5|100510>

Step-by-step explanation:

128211~}>■•

Step-by-step explanation:

1. The vertex is the x coordinate of the lowest point of the parabola. The lowest possible point is (1,-2). So our vertex is 1.

2. The axis of symmetry passes through the vertex so the axis of symmetry is at the line x=1 .

3. X intercepts are what are the x values when y =0. The x intercepts are -2 and 4.

4.Reflect the point 7,6 across the line x=1. A point symmetric to it is (-5,6)

Answer:

D,

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

Answer:

ANSWER: D

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

(80+96+81+89+64)÷5 = 84

Used the formula to get the average of a number. Hope this helps

Answer:

12 .        18

    7 .             10

Step-by-step explanation:

Answer:

The total value of the 96 coins is 72.

Step-by-step explanation:

There are half coins of 1. 48 coins of 1. It is cost will be 48. And rest are of 50p. 48 coins of 50 p. Therefore it is cost will be 24. The total cost will be 48+24=72.

The probability of the family having two dogs or two cats is 1/2 or 50%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The theoretical probability of the family having two dogs or two cats can be calculated as follows:

P(D) be the probability of having a dog

P(C) be the probability of having a cat.

Since the family has an equally likely chance of having a cat or a dog, we have:

P(D) = 1/2 and P(C) = 1/2

The probability of having 2 dogs is:

P(D) x P(D) = (1/2) x (1/2) = 1/4

The probability of having 2 cats is:

P(C) x P(C) = (1/2) x (1/2) = 1/4

The theoretical probability of the family having two dogs or two cats is:

P(2 dogs or 2 cats).

= P(2 dogs) + P(2 cats)

= 1/4 + 1/4

= 1/2

Thus,

The probability of the family having two dogs or two cats is 1/2 or 50%.

Learn more about probability here:

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Answer:

[tex] \frac{7}{25} [/tex]

Step-by-step explanation:

We can solve that using this identity,

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

plug in -24/25 from x in sin

[tex] \sin {}^{2} ( \frac{ - 24}{25} ) + \cos {}^{2} (x) = 1[/tex]

[tex] \sin( \frac{576}{625} ) + \cos {}^{2} (x) = 1[/tex]

[tex] \cos {}^{2} (x) = 1 - \frac{576}{625} [/tex]

[tex] \cos {}^{2} (x) = \frac{49}{625} [/tex]

[tex] \cos(x) = \frac{7}{25} [/tex]

Since cos is positve in quadrant 4, the answer is 7/25.

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

then

Sin(Ф) = - [tex]\frac{24}{25}[/tex]

find the angle Ф

Ф = arcSin ( - [tex]\frac{24}{25}[/tex] )

Ф = -73.739795°

so an angle measured clock wise from x axis at zero°

now use cos(Ф) = x/ 25    to find x

25* cos(  -73.739795°) = x

7 = x   :o  wow... exactly?   :P nice

cos(Ф) = 7/25     I think that's what they wanted to know  

also I noted my calculator tried to find the fraction of 0.2800000049 and couldn't,  but then I just put in 0.28 and it found that to be 7/25  :0  so I think we're spot on  :)  

Answer:

the answer is 1/45

Step-by-step explanation:

ywgefyjgrcghh

Answers:

The ~ mark means "similar"

=====================================================

The red angle markings tell us which angles are congruent to one another. We have these two pairs of congruent angles

Because we have two pairs of congruent angles, we use the AA similarity theorem. AA stands for angle angle. We could use three pairs, but two pairs is the minimum needed for similarity statements.

-----------

To figure out what goes in the third answer box, note how the order HGF is given to us. The order is important.

We have H first, G second, F third.

H being first, and it having a single arc, means that whatever has a single arc on the other triangle must be first. That would be H. Unfortunately they reuse angle H which makes things confusing a bit.

G is second in HGF, and G has the double arc marking. Note how M also has this double arc marking. Therefore we have M second in the answer. So far we have HM as part of the third answer.

The only thing left is N. Therefore, we have triangle HMN as the answer for the third box.

Put another way, we have these pairings:

This is why the order is important. So we can see how the angles pair up in the order that they do.

This is why triangle HGF is similar to triangle HMN.

We can write that as triangle HGF ~ triangle HMN

The ~ mark means "similar"

We don't have enough information to prove that the triangles are congruent or not. So we cannot say [tex]\triangle HGF \cong \triangle HMN[/tex]. Your teacher made a typo when using the congruence symbol [tex]\cong[/tex]

Instead, it should be [tex]\triangle HGF \sim \triangle HMN[/tex]

Answer:

7x^3y^2 + 14x^2y^3 - 35x^2y^2

Step-by-step explanation:

Answer:

[tex] \sqrt{193} [/tex]

Step-by-step explanation:

Given,

Height of the triangle = 7

Base of the triangle = 12

Hypotenuse of the triangle = x

Therefore, According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]

[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]

[tex] = > {x}^{2} = 144 + 49[/tex]

[tex] = > {x}^{2} = 193[/tex]

[tex] = > x = \sqrt{193} (ans)[/tex]

Answer:

radius = 8 ft

Step-by-step explanation:

area = 64π ft²

radius = 8 ft

Answer:

(110,90)

Step-by-step explanation:

The values are expressed as (age in months, weight in kilograms) so since the panda is 110 months old and 90 kilograms, so the values would translate into (110,90)

Hope this helped!

Stay safe! <3

Answer:

Base × height

8 multiply 15 is equals to 120 square inches

GL

Answer:

Its E.(3 × 4) + 1 × (2 × 5) + 3.

All the correct expressions that could be used to find the volume of the hamster house are,

⇒ (1 × 3 × 4) + (6 × 3 × 2)

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet.

And, The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet.

Hence, Volume of first rectangular prism is,

⇒ 1 × 3 × 4

And,  Volume of second rectangular prism is,

⇒ 6 × 3 × 2

Thus, All the correct expressions that could be used to find the volume of the hamster house are,

⇒ (1 × 3 × 4) + (6 × 3 × 2)

Learn more about the rectangle visit:

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Answer:

Step-by-step explanation:

8000000

Hope that helps!

Answer:

8000000.00001

Step-by-step explanation:

there ya go

Answer:

one option is:

208+0.2

Step-by-step explanation:

I hope this helps      :)

Answer:

r = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The common ratio (r) in a geometric sequence is any term divided by the previous term, that is

r = [tex]\frac{6}{4}[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

i believe the answer is 0,2

Answer:

[tex](x-2)^2+(y-5)^2=9^2[/tex]

Step-by-step explanation:

We use the equation

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Now we plug in the numbers

(h, k) = center point (2, 5)

This would equal

[tex](x-2)^2+(y-5)^2=9^2[/tex]

Answer: ok

Step-by-step explanation:

Answer:

22,000

Step-by-step explanation:

c=2πr

2(3.14)3500

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Skills needed: Fraction Subtraction, Least Common Denominator (LCD)

1) [tex]\frac{6}{8} - \frac{2}{6} - \frac{1}{4}[/tex] is the operation you would do.

--> You would do this because, Carlotta has [tex]\frac{6}{8}[/tex] of the paper left, and does one fraction amount ([tex]\frac{2}{6}[/tex]) on Saturday & does another fraction amount ([tex]\frac{1}{4}[/tex]) on Sunday.

-->  Using subtraction is the best way

2) Now, we need to figure out the Least Common Denominator for all 3 fractions.

8,6,4 are the denominators.

The lowest number that is a factor of all them is 24.

So, it would then become [tex]\frac{18}{24} - \frac{8}{24} - \frac{6}{24}[/tex]

This would become: [tex]\frac{18-8-6}{24}[/tex] (18-8-6 = 4)

So then: [tex]\frac{4}{24}[/tex] is your answer.

This simplifies into [tex]\frac{1}{6}[/tex].

Hope this helps and have a nice day!! :) :]

Answer:

x= -17/8

Step-by-step explanation:

1 step: take care of the parentheses ( multiply -2 to what is on parentheses)

so x -8x +6 =-12-14x

2 step : move all number with x to the left side

x-8x +14x = -12 -6

7x = -18

x = -18/7