An aquarium has a base in the shape of a trapezoid. The base is 100
cm long at the front, 50 cm long at the back, and 40 cm wide (from
front to back). The height is 70 cm. What is the volume of the
aquarium in litres?

The required value of y is 108° for the given diagram. The correct answer would be option (A).

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

In the diagram below, AB is parallel to CD.

Here we can see that the angles y° and 72° are supplementary angles.

So y + 72 = 180°

⇒ y = 180 - 72

Apply the subtraction operation, and we get

⇒ y = 108

Thus, the required value of y is 108°.

Hence, the correct answer would be an option (A).

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Answer:

No table shown.

Step-by-step explanation:

Where’s the table?

Answer:

it is c

Step-by-step explanation:

Step-by-step explanation:

point-slope equation - y+3= -3/5( x+5)

slope-intercept form- y= -3/5x +b

Answer:

can you please add a picture so i can compleat the problem

Step-by-step explanation:

Answer:

5.46

Step-by-step explanation:

3.64 ÷ 4 = $0.91

$0.91 x 6 = $5.46

It would cost $5.46 for 6 oranges.

Answer:

(-5,-3)

Step-by-step explanation:

Answer:

1. - 16/5 or -3.200

2. No solution.

3. No solution

Step-by-step explanation:

Could I have brainiest please

Answer: X=-2

Step-by-step explanation:

I big brain now give brainliest

Answer:

x<−2

Step-by-step explanation:

Let's solve your inequality step-by-step.

6x+12<3x+6

Step 1: Subtract 3x from both sides.

6x+12−3x<3x+6−3x

3x+12<6

Step 2: Subtract 12 from both sides.

3x+12−12<6−12

3x<−6

Step 3: Divide both sides by 3.

3x/3<−6/3

x<−2

Hope this helps :)

Answer:

True.

Step-by-step explanation:

The given statement: "If an object has six faces, it is a cube."

"If an object X, then Y."

Converse: "If an object is a cube, it has six faces."

"If an object Y, then X."

All cubes are similar, therefore, the converse is true.

Step-by-step explanation:

they combined two terms that weren't alike

Here are the two pieces:

x and 3x

Here is the needed equation:

x + 3x = 132

4x = 132

x = 132/4

x = 33

The two pieces are 33 inches and 99 inches.

The length of the shorter piece is 33 inches.

132 inches of the board is cut into 2 pieces. The board is divided into 2 parts.

One piece is three times the length of the other. Therefore,

let

one piece = x

The other piece = 3x

The length(x) of the shorter part  can be found below

4x = 132

divide both sides by 4

x = 132 / 4

x = 33

The length of the shorter piece is 33 inches.

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Answer:

12$

Step-by-step explanation:

It says she paid a fee of 15, since total for six months is 87 it means the fee is included. So basically taking out the fee she paid a total of 72.

NOW you can divide by 6. which will give you 12 dollars per month.

This can trick people because they dont subtract the fee and think they can just divide by 6.

Answer:

A line goes through the points (7, 3) and (–1, 5).

To find:

The equation of the line in point-slope form.

Solution:

The lines goes through the points (7, 3) and (–1, 5). So, slope of line is

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

[tex]m=\dfrac{5-3}{-1-7}[/tex]

[tex]m=\dfrac{2}{-8}[/tex]

[tex]m=-\dfrac{1}{4}[/tex]

So, slope of the line is [tex]m=-\dfrac{1}{4}[/tex].

Now,

Point slope  form of a line is

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

where, m is slope and [tex](x_1,y_1)[/tex] is any point on the line.

If slope of line is [tex]m=-\dfrac{1}{4}[/tex] and the point is (7, 3), then point slope form of line is

[tex]y-3=-\dfrac{1}{4}(x-7)[/tex]

If slope of line is [tex]m=-\dfrac{1}{4}[/tex] and the point is (-1, 5), then point slope form of line is

[tex]y-5=-\dfrac{1}{4}(x-(-1))[/tex]

Therefore, the required equations are either [tex]y-3=-\dfrac{1}{4}(x-7)[/tex] or  [tex]y-5=-\dfrac{1}{4}(x-(-1))[/tex].

Answer:

hi…

Step-by-step explanation:

i think so

[tex] - 2x + 8x - 6 = 12 \\ 6x - 6 = 12 \\ 6x = 12 + 6 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3[/tex]

Answer:

Step-by-step explanation:

Solving as it is given:

As given, the answer is 4 which doesn't match any of the options

Assumed there is typo and question is:

The the answer is option A

Answer:

The answer is [tex]7\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

REFLECTION OVER THE X-AXIS!!!!!

Step-by-step explanation:

When you flip the triangle over the x-axis, you get triangle W'X'Y'

Answer:

slope will be 1/7 and the y intercept will be (0,7)

Answer:

Option B

Step-by-step explanation:

[tex](5xy^2 + 3x^2-7) + (3x^2y^2-xy^2 + 3y^2 + 4)\\[/tex]

if we solve this lets rewrite it order

[tex]3x^2y^2-xy^2 + 3y^2 + 4+5xy^2+3x^2-7[/tex]

[tex]3x^2y^2-xy^2 +5xy^2+3y^2+3x^2-7+4[/tex]

[tex]3x^2y^2+4xy^2+3y^2+3x^2-4[/tex]

The solution of the given polynomial is 3x²y² + 4xy² +3x² +3y² +3x²y² -3. The correct option is B.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given that the expression is (5xy² + 3x²–7) + (3x²y² – xy² + 3y² + 4).

The polynomial can be solved as:-

E = (5xy² + 3x²–7) + (3x²y² – xy² + 3y² + 4)

E = 3x²y² + 4xy² + 3x² + 3y² -3

Hence, the solution of the polynomial would be 3x²y² + 4xy² +3x² +3y² +3x²y² -3.

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Answer:

16.05 centimeters each bracelets

Step-by-step explanation:

Answer:

The zeros are -2 and 3

Step-by-step explanation:

Set each equation equal to zero

so...

x + 2 = 0

x - 3 = 0

and solve for x

if you don't know how to solve for x...

x + 2 = 0      try to single out x by moving the 2 to the other side

x = -2           the sign changes because it moves to the other side of the equal sign.

There you have it: -2 and 3

Answer:

b=− 3/4 =−1.333

b= 2/3=1.500

explanation

middle term, which is   -1 .  

     -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21

     -18    +    4    =    -14

     -12    +    6    =    -6

     -9    +    8    =    -1    That's it

Two real solutions:

b =(1+√289)/12=(1+17)/12= 1.500

or:

b =(1-√289)/12=(1-17)/12= -1.333

Answer:m<DEG=62 degrees

Step-by-step explanation:

Since we know that EF bisects the angle DEG, we know that m<DEF and m<FEG have to be equal. Bisects means split in half. So, we gotta add 31 degrees plus 31 which adds up to 62.

Answer:

268 students are absent

Step-by-step explanation:

First, multiply 775 by (8/25) to get the number of students out from the virus (probably weren't wearing masks or 6 ft apart from each other). This gives you 248 students. You also know that an additional 20 students are out due to other reasons. Add 248 and 20 and you get a total of 268 absent students.

Answer: 10

Step-by-step explanation:

Answer:

The answer is

-36-8= - 44

Answer:

The amount initially put (deposited) in the account is 800 + 350/x + 500/x² + 600/x³

Step-by-step explanation:

The annual interest rate by which the account grows = r

The factor by which the account grows annually = 1 + r

The function that provides the amount in the account after 4 years, given that the growth factor is x is given as follows;

A(x) = 800·x⁴ + 350·x³ + 500·x² + 600·x

The amount, P, initially put (deposited) in the account is given as follows;

P × (x)⁴ = 800·x⁴ + 350·x³ + 500·x² + 600·x

P = (800·x⁴ + 350·x³ + 500·x² + 600·x)/(x⁴) = 800 + 350/x + 500/x² + 600/x³

P = 800 + 350/x + 500/x² + 600/x³

The amount initially put (deposited) in the account = 800 + 350/x + 500/x² + 600/x³