What is the width of the prism ?

Answer:

4

Step-by-step explanation:

Give the other guy a 5 star my dude lol

The square has a property of having all the sides equal. The rectangle on the other hand has its opposite sides equal. The larger side of the rectangle is called length and the smaller side is called breadth. The area of rectangle is the product of length and breadth i.e.

[tex]\rm Area\:of\:rectangle = Length\: \times Breadth[/tex]

The side of square for the given question is [tex]4\rm \: inches[/tex].

Let the side of square be [tex]\rm x[/tex]

Given:

Area of rectangle is 9 square inches.

Side of square is reduced by 3 and other side is enlarged by 5. Therefore, dimensions of the rectangle will be:

[tex]\rm Breadth = x - 3\\\\Length = x + 5[/tex]

[tex]\rm Area\:of\:rectangle = Length\: \times Breadth\\\\9 = (x + 5)(x -3)\\\\9 = x^2 + 5x -3x -15 \\\\9 = x^2 +2x - 15 \\\\0 = x^2 +2x-15-9\\\\0 = x^2+2x-24\\\\[/tex]

On factoring the equation:

[tex]\begin{aligned} \rm x^2 + 2x -24 &= 0\\\\x^2 + 6x - 4x - 24 &= 0\\\\x(x+6)-4(x+6) &= 0\\\\(x+6)(x-4)&=0\end[/tex]

On equating [tex]\rm (x +6)[/tex] and [tex](x-4)[/tex] with 0 we get:

[tex]x = -6\\\\x=4[/tex]

Since side of square cannot be negative, [tex]x = 4[/tex] is the only correct value.

Therefore the side of square is [tex]4 \:\rm inches[/tex].

Learn more about the topic here:

https://brainly.com/question/22249467

Answer:

Slope : -1/4

Equation: y = -x + 1/4

Step-by-step explanation:

You start by finding the slope using the slope formula. Then after finding the slope you use one of the pairs to substitute in the equation y = mx+b then after doing that you solve for your b since it will be the only missing variable. Then you have your equation.

Answer:

your answer will be D. X - 5 < -9

Step-by-step explanation:

hope it helps have a nice day!!!

Answer:

This graph is positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(y-6)=3y-18

which can be expressed as

2y-18+y

Answer:

5/6 because it would be because the numerator would be 5 and the denominator would be 6.  

Answer:

5/6

Step-by-step explanation:

since 5 is on the top it would be the numerator

since 6 is on the bottom it would be the denominator.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Statistics of a Categorised data.

We know that medium is the middle most point of any observation table or a Histogram displayed,

Hence we can clearly see here that, observation - 4 on the x-axis is the middle most entry of the Histogram, around which all other entries are equal.

===> Hence, option A.) 4 is correct answer.

Step-by-step explanation:

2 + 3 × 6 + 4 × 3

Here, Parantheses should be put,

(2 + 3) × 6 + 4 × 3. (P.E.D.M.A.S) ( First Parantheses)

= 5 × 6 + 4 × 3 (Then multiplication)

= 30 + 12. (At last addition)

= 42

Answer:

Let r represent the radius of the smaller circle and R the radius of the larger circle.

Apply ratios: the radius of smaller circle to radius of larger circle, i.e.

r: R = 3 : 7.

I complete rotation = 360 degrees.

Part 1:

For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees

Part 2:

For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios:

The number of rotations = R/r = 7/3 = 2.3 rotations  

BRAINLIEST PLEASE??

Step-by-step explanation:

Answer:

Step-by-step explanation:

for smaller gear circumference=2π×2=4π inches

for larger gear

l=4π

θ=l/r

θ=(4 ×180)/7=720/7=102 .9°

for larger gear circumference=2π×7=14π

number of rotations=(14π)/4π=7/2=3.5 rotations or 3 1/2 rotations.

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

Answer:

530.66 square cm

Step-by-step explanation:

A=pi*r^2

A=pi*13^2

A=530.66

Answer:

A = 530.91 [tex]cm^2[/tex]

Step-by-step explanation:

The formula to find the area of a circle is ([tex]A = (pi)r^2[/tex]), where ([tex]A[/tex]) represents the area of the circle, ([tex]pi[/tex]) represents the value ([tex]3.1415...[/tex]), and ([tex]r[/tex]) represents the radius of the circle. Use this knowledge, and substitute in the given information, to solve for the area of the circle.

[tex]A = (pi)r^2\\\\A = (3.1415)(13)^2\\\\A = (3.1415)169\\\\A = 530.91[/tex]

Answer:

4

Step-by-step explanation:

If red marbles are 10 then answer is 4

Answer:

117

Step-by-step explanation:

The angles line up~ P is the same as angel I.

Step-by-step explanation:

A≈3.14mi²

Don't we need the full question?

6. D

7. B

Hope it helps

Answer:

29.78 feet

Step-by-step explanation:

Answer:

7y^4+3y-5

Step-by-step explanation:

Answer:

Red

Slope: 3

Y-int: 4

Equation: y = 3x + 4

Blue

Slope: -1/3

Y-int: -4

Equation: y = -1/3x - 4

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Step 1: Add 2x to both sides.

4x−3+2x=−2x+9+2x

6x−3=9

Step 2: Add 3 to both sides.

6x−3+3=9+3

6x=12

Step 3: Divide both sides by 6.

6x = 12

6 6

x=2

Answer:

42 as i dont know so ask jeff ma boy from da sewers

Step-by-step explanation:

Answer:

The simplified expression is: [tex]3a^2 + 17a - 1[/tex]

Step-by-step explanation:

We are given the following expression:

[tex]4a^2 + 8a + 2 - a^2 + 9a - 3[/tex]

We can fully simplify the expression by combining the like terms. So

[tex]4a^2 + 8a + 2 - a^2 + 9a - 3 = 4a^2 - a^2 + 8a + 9a + 2 - 3 = 3a^2 + 17a - 1[/tex]

The simplified expression is: [tex]3a^2 + 17a - 1[/tex]

Answer:

The answer is B no triangles can be made. for it to be a triangle two sides must be greater than the third side. is 14+6 greater that 5? Yes but 6+5 isn't greater than 14 so the answer would be no triangles can be made

Answer:

d

Step-by-step explanation:

there isnt an arrow saying it keeps going past 10

Answer: is b

Step-by-step explanation:

Answer:

152 times 6=912

Step-by-step explanation:

$120 for every 20 students

it cost $6 for every 1 student

$6 times 152=912

Answer:

Yolanda is correct.

Step-by-step explanation:

If Hazel has $23.28 and $5.60 more than Nixon, then Nixon will have $17.68 because 23.28-5.60 is 17.68.

The only way Paul would be right is if Nixon has $5.60 more than Hazel because 23.28+5.60 is 28.88.