A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of the sidewalk is 155 ft2, what is its width? A = lw 2.5 ft 5.0 ft 6.2 ft 15.5 ft

Multiply the top values together and the bottom values together.

(2/8)*(3/5)

=(2*3)/(8*5)

=6/40

=3/20

Hope this helps!

Answer:

3/20

Step-by-step explanation:

2    3

-- * --- = 6/40, or 3/20

8    5

You may find it easier to multiply if you write the multiplicands as shown above, instead of 2/8 and 3/5.  Then:  2 times 3 is 6, and 8 times 5 is 40.

Reduce 6/40 to 3/20, your final answer.

first simplify the numerator (x+3)(x-2)=x^2-2x+3x-6=x^2+x-6

now factor the numerator (x+3)(x-2)

now find the restriction 3x-6=0  3x=6  x=2

now factor the denominator 3(x-2)

((x+3)(x-2))/3(x-2)

now cross off the (x-2)

and you are left with (x+3)/3

ANSWERS:

The restriction is X=2

The simplified fraction is (x+3)/3

Answer:

First simplify the numerator (x+3) (x-2) = x^2 -2x + 3x - 6 = x^2 + x-6

now factor the numerator (x+3) (x-2)

now find the restriction 3x-6=0  3x=6  x=2

now factor the denominator 3(x-2)

(x+3)(x-2)/3(x-2)

now cross off the (x-2)

and you are left with (x+3)/3

The restriction is X=2

The simplified fraction is (x+3)/3

Hi, it's me again!

Your answer would be B.

3x + 6 = 21

3(5) + 6

15 + 6

21 = 21

Answer:b is your best bet

Step-by-step explanation:

ANSWER

[tex]<8,4> \bullet< - 3,5> = - 4[/tex]

EXPLANATION

The dot product of two vectors:

[tex] < a,b > [/tex]

and

[tex]< c,d> [/tex]

is

[tex] < a,b > \bullet< c,d> = ac + bd[/tex]

The given vectors are:

[tex]<8,4> [/tex]

and

[tex]< - 3,5> [/tex]

The dot product of these vectors is

[tex]<8,4> \bullet< - 3,5> = 8 \times - 3 + 4 \times 5[/tex]

[tex]<8,4> \bullet< - 3,5> = - 24 + 20[/tex]

[tex]<8,4> \bullet< - 3,5> = - 4[/tex]

Answer:

-4

Step-by-step explanation:

a p e x

Answer:

[tex]F(x)=x^2-5[/tex]

Step-by-step explanation:

The parent function is [tex]G(x)=x^2[/tex].

The function F(x) is obtained when G(x) is shifted down by 5 units.

Hence we rewrite F(x) in terms G(x).

[tex]F(x)=G(x)-6[/tex]

Therefore the required equation is;

[tex]F(x)=x^2-5[/tex]

Answer:

For cleveland Middle school we know that more students come by bus to school than bike or walking

Answer:

8 units

Step-by-step explanation:

Using the perpendicular bisector theorem, if we know that TQ is 8 units, then RT must be 8 units as well.

Answer:

8

Step-by-step explanation:

Step 1: Find the length of segment TS (I will call this as y)

Method: Pythagoras

10² = y² + 8²

 = 100-64 = y²

y = square root of 36

y = 6

Step 2: Use the method of Pythagoras to find RT = (x)

10² = x² + 6²

x² = 100 - 36

x = 64 square root

x = 8

Answer:

To find the x-intercept, substitute in 0 for y.

To find the y-intercept, substitute in 0 for x.

Hope this helps and hava great day!!

Answer:

x-intercept: (2,0)(2,0)

y-intercept: (0,−5)(0,-5)

Step-by-step explanation:

Answer:

The answer is 131 you have to add the two angles together

Answer:

[tex]\frac{circumference\ }{diameter}=\pi[/tex]

Step-by-step explanation:

Given that radius of the circle = 10

Using π, we need to find about which equation expresses the ratio of the circumference of the circle to the circle's diameter.

diameter of the circle = 2(radius) = 2(10)=20

circumference of the circle = 2 π r = 2 π (10)  = 20 π

then ratio of the circumference of the circle to the circle's diameter is given by: [tex]\frac{circumference\ }{diameter}=\frac{20\pi}{20}=\pi[/tex].

Hence required equation is [tex]\frac{circumference\ }{diameter}=\pi[/tex]

Answer:

The fourth answer is the correct one.

Step-by-step explanation:

It cost $12 to download 3 videos, which works out to $4 per video.

Thus, k = $4/video.

The fourth answer is the correct one.

The proportional relationship is y = ($4/video)x, where x is the number of videos downloaded and $4 is the unit cost per video.

Answer:

D. Robin, Sparrow, Pelican

Step-by-step explanation:

They are the only animals that can do both

d, they are the only animals that can do both

Answer:

The hawk reaches the rabbit at t=4.3 sec

Step-by-step explanation:

Let

h ----> is the height in feet

t ----> is the time in seconds

v ---> the initial velocity in feet pr second

s ----- is the starting height

we have

[tex]h=-16t^{2} +vt+s[/tex]

when the hawk reaches the rabbit the value of h is equal to zero

we have

[tex]v=55\ ft/sec[/tex]

[tex]s=60\ ft[/tex]

substitute

[tex]0=-16t^{2} +55t+60[/tex]

Solve the quadratic equation by graphing

The solution is t=4.3 sec

see the attached figure

Answer:

7/34

Explanation:

442 subtract 10.2 is 431.8

436 subtract 431.8 is 4.2.

10.2 times two is 20.4.

4.2 out of 20.4 is 4.2/20.4

4.2/20.4 equals 7/34

Answer:

See the graphic I made

Area of Section A = 4 *1 = 4 square centimeters

Section B = 4 * (3 + 4) = 28 sq cm

Section C = 3 * (2 + 3 + 4) = 27 sq cm

Total Area = 4 + 28 + 27 = 59 square centimeters

Step-by-step explanation:

To find the area of an octagon, you can use the formula 2 * (1 + √2) * s², where s is the length of one of the sides. If the area is given, you can solve for s and then use the formula to calculate the area.

The area of an octagon can be calculated using the formula:

Area = 2 * (1 + √2) * s²,

where s is the length of one of the sides of the octagon.

In this case, since the area is given as 0.4 m², we can solve for s.

0.4 = 2 * (1 + √2) * s²

Dividing both sides by 2 * (1 + √2) gives:

s² ≈ 0.2

Taking the square root of both sides, the length of one side is approximately 0.45 m.

To find the area, use the formula:

Area = 2 * (1 + √2) * (0.45)² ≈ 0.4 m²

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You need the distributive propery so you do 5 times 3p and get 15p and then 5times 4r and get 20r so 15p plus 20r

Answer:

Step-by-step explanation:

[tex]5(3p+4r)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\=(5)(3p)+(5)(4r)=15p+20r[/tex]

Answer:

3. relieve and alleviate (S)

4. loll and sprawl (S)

5. coax and cajole (S)

Hope this helps! :)

3 re·lieve

/rəˈlēv/

Learn to pronounce

verb

1.

cause (pain, distress, or difficulty) to become less severe or serious.

synonyms:alleviate, mitigate, assuage, allay, soothe, soften, palliate, appease, ease, dull, 

4 loll

/läl/

Learn to pronounce

verb

sit, lie, or stand in a lazy, relaxed way.

synonyms:lounge, sprawl, drape

5coax1

/kōks/

verb

gently and persistently persuade (someone) to do something.

synonyms:persuade, wheedle, cajole, talk into something, get round, prevail on, beguile, flatter, seduce, lure, entice, tempt, inveigle, woo, maneuver

ANSWER

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)

EXPLANATION

The given triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2).

If this triangle is dilated by a scale factor of 2 to obtain triangle L′M′N, then we use the rule:

[tex](x,y)\to (2x,2y)[/tex]

can be used to obtain the coordinates of

L′M′N.

[tex]L(6,-8)\to(2 \times 6,2 \times - 8)=L'(12,-16)[/tex]

[tex]M(4,-4)\to(2 \times 4,2 \times - 4)=M'(8,-8)[/tex]

[tex]N(-12,2)\to(2 \times -12,2 \times 2)=N'(-24,4)[/tex]

The cot choice is:

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)

Answer:

A

Step-by-step explanation:

Its the one that mostly makes sense

Answer:

[tex]y-1=3(x-2)[/tex]

Or

[tex]y-4=3(x-3)[/tex]

Step-by-step explanation:

The slope formula is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line containing (2, 1) and (3, 4)  has slope;

[tex]m=\frac{4-1}{3-2}=3[/tex]

The point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the point and slope to get:

[tex]y-1=3(x-2)[/tex]

Or

[tex]y-4=3(x-3)[/tex]

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

Work Shown:

2sin^2(x) + cos^2(x)

2sin^2(x) + 1 - sin^2(x) .. see note below

[ 2sin^2(x) - sin^2(x) ] + 1

sin^2(x) + 1

note for step 2 above, I used the Pythagorean trig identity (or a slight variation of it) to replace cos^2(x) with 1-sin^2(x).

Answer:

Translation

Step-by-step explanation:

You just move the shape down

Answer:

Step-by-step explanation: translation.

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. In a translation, every point of the object must be moved in the same direction and for the same distance.

Answer:

the first question is B

and I am very sorry i don't know the second question

Answer:

C, B

Step-by-step explanation:

The interior angle of a regular polygon is:

θ = (n - 2) × 180° / n

So a pentagon with 5 sides has an interior angle of:

θ = (5 - 2) × 180° / 5

θ = 108°

If we draw a line from the bottom left corner to the center, we get a right triangle.  Using tangent, we can say:

tan (108°/2) = a / (7.6/2)

tan (54°) = a / 3.8

a = 3.8 tan (54°)

a = 5.2

Answer C

If the interior angle is 144, then the number of sides is:

144 = (n - 2) × 180 / n

144n = 180n - 360

360 = 36n

n = 10

Answer B.

ANSWER

(1,7)

EXPLANATION

The given equations are:

1st: 3a + 6b = 45

and

2nd:2a – 2b = –12

Multiply the second equation by 3,

3rd: 6a – 6b = –36

Add the first and third equations.

6a+3a+6b-6b=45+-36

Simplify,

9a=9

a=1

Put a=1 in the second equation:

2(1) – 2b = –12

-2b=-12-2

-2b=-14

b=7

Answer:

4x

Step-by-step explanation:

The given product is;

[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]

This is the same as;

[tex]\frac{2x^2\times 6}{3\times x}[/tex]

We cancel out the common factors to obtain;

[tex]\frac{2x\times 2}{1\times 1}[/tex]

Multiply out to obtain;

[tex]\frac{4x}{1}[/tex]

Simplify

[tex]4x[/tex]

The second option is the correct choice.

Answer:

4x

Step-by-step explanation:

[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]

2x^2 can be written as 2*x*x

so the given expression becomes

[tex]\frac{2*x*x}{3}(\frac{6}{x})[/tex]

we cancel out x at the top and bottom

we know 6 divide by 3 is 2

[tex]\frac{2*x}{1}(\frac{2}{1})[/tex]

Now we multiply the numerator with numerator and denominator with denominator

4x

Answer:

x=15/8

Step-by-step explanation:

Inverse variation is given by

xy = k

Substituting x=5 and y=12

5*12 = k

60 =k

Our original equation is xy = 60

Now let y=32

x*32 = 60

Divide each side by 32

32x/32 = 60/32

Divide top and bottom by 4

x = 15/8

Answer: 12

Step-by-step explanation:

You can use what is called geometric mean to solve this.

The hypotenuse of this triangle is split into two sections. One section corresponds to/equal to the altitude which is our "X", which corresponds to/equal to the second section.

You find "X" by using geometric mean and the proportion:

16/X=X/9

Then cross multiply to get 16 x 9= 144

then 144=x²

Solve for X.

X=12

Answer:

39

Step-by-step explanation:

the answer is 39 because you do 65/5 which gives you 13 and then you multiply 13 by 3. pls mark as brainliest

Well if you divide 65 into 5 you’ll get 13, which tells you that he gets paid $13 per dog. Now if you multiple $13 with 3 I’ll be $39. So Drew gets earns $39 for washing 3 dogs.

Answer: $39

Thank you for giving me brainliest

Answer:

can i have brainliest please? i will do brainliest for brainliest please

Answer:

guess it's C

Step-by-step explanation:

The answer is D. There are three notebooks each weighing 1.2 pounds. If you multiply three by 1.2 it is 3.6. There are two textbooks each weighing 3.4 pounds. 2 multiplied by 3.4 equals 6.8. Therefore, if you add the weight if the textbooks (6.8) and the weight of the notebooks (3.6) it is 10.4. Therefore the answer is D. Not C.

Answer:

We can say that it is a Rectangle

Step-by-step explanation:

Based on the image shown we can see the following. The Blue section is a 2D figure. We can also see that the sides cover the same length and height as the rectangular prism that encompasses it. Therefore based on the information that we gathered we can say that the cross section (blue shaded area) is a rectangle.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The cross-section shown in a rectangular prism with the blue-shaded area is a rectangle.

Given that,

A rectangular prism with a cross-section is shown in the image.

Used the concept of rectangle which states that,

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.

Now, by the given figure, the Blue section is a 2D figure.

And, the sides cover the same length and height as the rectangular prism

Hence, it shows a rectangle.

Therefore, the cross-section shown with the blue-shaded area in the figure is a rectangle.

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