Three years ago, Sherman was twice as old as Clive. If Clive’s present age is c, which expression represents Sherman’s present age in terms of Clive’s age?

A.
2c − 3

B.
2c + 6


C.
2(c − 3)

D.
2c + 3

Answer:

A. Nothing, Paul is correct

Step-by-step explanation:

Answer:

= 2√3 m  or 3.464

Step-by-step explanation:

Using the sine,  

sin(60”)  = x / 4   multiply both sides by 4

4 sin (60°)   = x

4 * √3 / 2  =  x  

x = 2√3 m  

slant height  =2√3 m

Answer: The slant height is 2√3 meters.

Step-by-step explanation: The side adjacent to the 60 degree angle in the right triangle consisting of x, the lateral edge, and half of the base edge is half of the base edge, 2m. The side opposite of that angle is x. So basically you have tan(60°) = x/(2m)*tan(60°) = x = 2√3m. So thus the slant height is 2√3 meters.

[tex]\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill[/tex]

There are 6 numbers on a die.

The probability of rolling a 6 would be 1/6 for each time you roll the die.

Multiply the number of rolls by 1/6.

30 rolls x 1/6 probability = 5 times.

The answer is B. 5

The scale factor is obviously 7, because the 28 divided by 4 equals 7.

This means that the larger octagon's perimeter will be 7 times the smaller octagon's perimeter.

So 34 * 7 = 238.

To find the perimeter of a larger octagon, add up the lengths of all its sides. The formula for finding the perimeter of any regular polygon is P = ns, where P is the perimeter, n is the number of sides, and s is the length of one side.

An octagon is a polygon with 8 sides. To find the perimeter of an octagon, you need to add up the lengths of all its sides. If you know the length of one side of the octagon, you can multiply it by 8 to get the perimeter. For example, if the length of one side is 5 cm, the perimeter of the octagon would be 5 cm x 8 = 40 cm.

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Answer:  √y  

Step-by-step explanation:

[tex]\sqrt[6]{y^3}=y^{\frac{3}{6}}=y^{\frac{1}{2}}=\boxed{\sqrt y}[/tex]

Answer:

The area of the parallelogram is 117.

Step-by-step explanation:

You do 9x13= area

9x13=  117

Answer:

(y + 6)(4u + a)

Step-by-step explanation:

Given

4u(y + 6) + a(y + 6) ← factor out (y + 6) from each term

= (y + 6)(4u + a) ← in factored form

Answer:    

3.78 cubic yards or just 4 to make things simple.

20 x 30 = 600 sqft x .17 or (2/12) = 102 cubic feet / 27 (cubic feet in a yard) = 3.78 cubic yards

Step-by-step explanation:

To cover a 27 ft by 34 ft garden with a 2 inch thick layer of topsoil, we would need approximately 5.75 cubic yards of topsoil from the store.

This question involves understanding dimensions and volume. In this case, the dimensions of the garden are given in feet (27 ft by 34 ft), and the desired thickness of the topsoil is 2 inches, which is approximately 0.167 feet. To calculate the volume in cubic feet, we multiply the length, width, and height.

The formula to calculate volume is: Volume = Length * Width * Height.

So, Volume = 27 ft * 34 ft * 0.167 ft = 153.234 cubic feet

Now, to convert this volume into cubic yards (since the store sells soil in cubic yards), we use the fact that 1 cubic yard = 27 cubic feet.

So, Volume = 153.234 cubic feet / 27 = approximately 5.676 cubic yards.

Given that the store only sells in increments of 1/4 cubic yards, we will need to round 5.676 up to the nearest quarter yard. This gives us 5.75 cubic yards.

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Answer:

Step-by-step explanation:

f(x) =-3x - 7

f(g(x)) = -3*g(x) - 7

f(g(x)) = -3*x^4 - 7

bottom left.

ANSWER

[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]

EXPLANATION

It was given that;

[tex]f(x) = - 3x - 7[/tex]

and

[tex]g(x) = {x}^{4} [/tex]

We want to find the composite function,

[tex](f\circ g)(x) = f(g(x))[/tex]

[tex](f\circ g)(x) = f( {x}^{4} )[/tex]

We plug in x⁴ into f(x)=-3x-7 to obtain:

[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]

Answer:the answer is b

Step-by-step explanation:

The mathematical formula to solve this is :

f(n)= f1 + (n-1)d

We have:f(n)= 11 + (n-1)-4

f(n)= 11 -4n +4

f(n)=15 -4n

The right answer is D.

Answer:

A. all three rectangular faces have the same surface area

B. the surface area of each rectangular face is  [tex]66\ cm^{2}[/tex]

D. the surface area of one base is [tex]15.6\ cm^{2}[/tex]

Step-by-step explanation:

Verify each statement

case A) all three rectangular faces have the same surface area

The statement is true

Because, the equilateral triangle has the three equal sides and the three equal internal angles.

case B) the surface area of each rectangular face is  [tex]66\ cm^{2}[/tex]

The statement is true

Because, the area of each rectangular face is equal to

[tex]6(11)=66\ cm^{2}[/tex]

case C) the combined surface area of both bases is greater than the surface area of one rectangular face

The statement is False

Because

The combined surface area of both bases is [tex]2[\frac{1}{2}(6)(5.2)]=31.2\ cm^{2}[/tex]

The surface area of one rectangular face is [tex]66\ cm^{2}[/tex]

therefore

[tex]31.2\ cm^{2}< 66\ cm^{2}[/tex]

case D) the surface area of one base is [tex]15.6\ cm^{2}[/tex]

The statement is True

Because

The surface area of one base is [tex]\frac{1}{2}(6)(5.2)=15.6\ cm^{2}[/tex]

C.

D.

B.

C.

A.

D.

C.

C.

B.

A. B. and D.

This is the whole practice! 100% percent!

Have an amazing day! :):)

Answer:

58.6

Step-by-step explanation:

To find the area of the figure by splitting it into two shapes - a trapezoid and a rectangle.

The area of a rectangle is A = b*h where b = 8 and h = 4.

So the area is A = 8*4 = 32

The area of a trapezoid is A = 1/2 (a+b)h where a = 8 and b = 5.3 and h = 4.

So the area is A = 1/2(8+5.3)*4 = 1/2(13.3)(4) = 26.6.

The area of the whole figure is these two areas added together.

32 + 26.6 = 58.6

Answer:

The answer is D

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

93x-92x=2+1

x=3

Answer:

x=3

Step-by-step explanation:

i did in edge right now

Answer:

Y = mX + b

Step-by-step explanation:

Equation for a line:

Y = mX + b

Best regards

Answer: 1607.68units^3

Step-by-step explanation:

Answer:

1607.68

Step-by-step explanation:

Answer:

Are needed [tex]863.5\ in^{2}[/tex] of blue tile

Step-by-step explanation:

we know that

To find how much blue tile do you need, subtract the area of the smaller circle from the area of the large circle

step 1

Find the radius of the large circle

The circumference of the circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=113.097\ in[/tex]

substitute and solve for r

[tex]113.097=2\pi r[/tex]

[tex]r=113.097/(2\pi)[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]r=113.097/(2(3.14))=18\ in[/tex]

step 2

Find the area of the large circle

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=18\ in[/tex]

substitute

[tex]A=\pi (18)^{2}=324\pi\ in^{2}[/tex]

step 3

Find the area of the smaller circle

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=7\ in[/tex]

substitute

[tex]A=\pi (7)^{2}=49\pi\ in^{2}[/tex]

step 4

Find the difference of the areas

[tex]324\pi\ in^{2}-49\pi\ in^{2}=275\pi\ in^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]275(3.14)=863.5\ in^{2}[/tex]

Answer:

Step-by-step explanation:

7.8 is the distance from n to lm

Answer:

E. 7.8

Step-by-step explanation:

We have been given an image of a triangle and we are asked to find the distance from point N to line LM.

We can see that NO is the altitude for our given triangle, so the distance from point N to line LM will be equal to length of segment NO.

We can see from our given attachment that length of segment NO is 7.8 units, therefore, option E is the correct choice.

Answer:

450

Step-by-step explanation:

1 centimeter is equivalent to 10 millimeters . Therefore, 45 centimeters will be equivalent to;

45*10 = 450 millimeters

Answer:

450 mm

Step-by-step explanation:

Given in the question,

the length of an average cat's body = 45 cm

To find,

number of mm which are equivalent to 45 cm

We know that

1 cm = 10 mm

45 cm = 45 x 10 mm

           = 450 mm

Hence, there are 450 mm in 45 cm.

The expression equivalent to 8x - 12y + 32 is 4(2x - 3y + 8) after factorization by the greatest common factor.

To find an expression equivalent to 8x - 12y + 32, we can primarily factor by finding common factors in this expression. One of the significant aspects in factorizing expressions is searching for the greatest common factor which is 4 in this case. We divide each term in the expression by the greatest common factor to obtain the equivalent expression.

So, "4(2x - 3y + 8) is an equivalent expression to 8x - 12y + 32".

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The cost of 4 notebooks should be 24.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

Price of 2 notebooks = $12

Price of 3 notebooks = $18

And the price of 5 notebooks = $30

To determine the price of 4 notebooks,

First find the price of 1 notebook = 12 / 2 = 6

The price of 4 notebooks = 6 x 4 = 24

The required price of 4 notebooks is $24.

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Answer:

Debit card

Step-by-step explanation:

Got it right on TTM

Answer:

Debit card

Step-by-step explanation:

Hope this helps :)

Answer:

765

Step-by-step explanation:

Given in the question,

number of people to be choose with at least 5 women in it = 8

There are 2 ways to choose 8 members

1)

5 women

(6C5)(10C3)

6x120

720

2)

6 women

(6C6)(10C2)

1x45

45

Our final answer is 720 + 45 = 765 ways

Formula to calculate

nCr = n! / r!(n-r)!

The selection of members of the committee is an illustration of combination.

The number of ways of selection is 765

The given parameters are:

[tex]\mathbf{Men = 10}[/tex]

[tex]\mathbf{Women = 6}[/tex]

At least 5 women means that:

So, the possible selection is:

[tex]\mathbf{Selection = ^6C_5 \times ^{10}C_3 + ^6C_6 \times ^{10}C_2}[/tex]

Apply combination formula

[tex]\mathbf{Selection = \frac{6!}{5!1!} \times \frac{10!}{7!3!} + \frac{6!}{6!0!} \times \frac{10!}{8!2!}}[/tex]

[tex]\mathbf{Selection = 6 \times 120 + 1 \times 45}[/tex]

[tex]\mathbf{Selection = 720 + 45}[/tex]

[tex]\mathbf{Selection = 765}[/tex]

Hence, the number of ways of selection is 765

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Answer:

since we dont know the variable it isnt very easy to anser..

Step-by-step explanation:

Lets assume the variable is V okay?

5 time we know times means multiplication so

5 x

The quotients is division so

5 x V divided 10

Answer:

use pythagorean theroem lol a²+b²=c²

Answer:

I think the answer would be 4.5 miles

Step-by-step explanation:

Answer:

-3.5

Step-by-step explanation:

Remember that mean is the average.

Add all 4 numbers together and divide them by 4.

-9 + -8 + 4 + -1 = -14

-14/4 = -3.5