How would you measure the volume of a cardboard shoebox

Answers

Answer 1

Answer:
-- Measure the length of the box.
-- Measure the width of the box.
-- Measure the height of the box.
-- Make sure all 3 measurements are in the same units.

-- Multiply (length) x (width).

-- Take that answer and multiply it by (height).

-- You now have the volume of the box.

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Divide 30 in a ratio of 3:2

Answers

$Other\ method:\n\nx;y-searches\n\n \left\{\begin{array}{ccc}x+y=30&|subtract\ y\ from\ both\ sides\nx:y=3:2\end{array}\right\n\left\{\begin{array}{ccc}x=30-y&(1)\n(x)/(y)=(3)/(2)&(2)\end{array}\right\n\nsubtitute\ (1)\ to\ (2):\n\n(30-y)/(y)=(3)/(2)\ \ \ \ |cross\ multiply\n\n(3)(y)=(2)(30-y)\n3y=60-2y\ \ \ \ |add\ 2y\ to\ both\ sides\n5y=60\ \ \ \ |divide\ both\ sides\ by\ 5\n\boxed{y=12}$

$Put\ the\ value\ of\ y\ to\ (1):\nx=30-12\n\boxed{x=18}\n\nAnswer:\boxed{\left\{\begin{array}{ccc}x=18\ny=12\end{array}\right\to18:12}$

3+2=5
30 divided by 5=6
6X3=18
6X2=12
18+12=30
18:12

Which of the following fractions is equivalent to 10/12 ?A.4/5
B.20/30
C.40/48
D.12/14

Answers

C) 40/48 is equal to 10/12

roman paid $150 to join a handball club. he pays additional $15 every time he uses one of the club's handball courts. write an equation that describes roman's total cost for playing handball as a function of the number of times he plays

Answers

The equation to determine the total cost for playing handball is

f ( x ) = 15x + 150

where x is the number of times Roman plays

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of times Roman plays be = x

Now , the initial amount Roman paid to join the club = $ 150

The additional amount Roman pays for each play = $ 15

So , the equation will be

The total additional amount Roman pays if he plays x number of times is =
number of times Roman plays x additional amount Roman pays for each play

Total additional amount Roman pays if he plays x number of times is = 15x

So , the total cost of playing handball be f ( x ) , where x is the number of times Roman plays

Now , the equation will be

The total cost of playing handball f ( x ) = initial amount Roman paid + Total additional amount Roman pays

The total cost of playing handball f ( x ) = 150 + 15x

Therefore , the equation is f ( x ) = 15x + 150

Hence , The equation to determine the total cost for playing handball is

f ( x ) = 15x + 150

where x is the number of times Roman plays

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y=15x+150X represents the money he pays each time he uses the ball and 150 is the initial amount of money that he paid

A hummingbird is flying toward a large tree that has a radius of 6 feet. When it is 33 feet from the center of the tree, its lines of sight form two tangents. What is the measure of the arc on the tree that the hummingbird can see?

Answers

Answer:

Length of the arc = 5.25017 feet

Step-by-step explanation:

The line from the middle of the tree to the tip of the tangent lines is 33 ft and from the circumference of the tree its 27ft. One of the right angle triangles is picked and the angle is determined using SOHCAHTOA

Hence Tan X = 6/27

X = Tan-1 (6/27) = 12.52880770915o

Hence both sum of angles where tangent lines meet = 2 x 12.52880770915o = 25.05761541830o

Angle of the arc inside the circle = 50.115o

Length of the arc = 50.115/360 x (2x22/7 x 6) = 5.25017040025ft

Which of the following pairs of fractions are like fractions?a. 1/2 and 4/8
b. 7/9 and 8/9
c. 5/11 and 15/33
d. 4/3 and 3/4

Answers

A 1/2 and 4/8 because to make them both have same denominator you multiply 1/2 by 2 and get 4/8 or you can do it the easy way and simpliphy 4/8 to 1/2. 4 is half of 8 so there for it would be 1/2.

Find the indicated side of the right triangle.