Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?

Answer:

[tex]2a + c \\ a = 2 \\ c = - 1 \\ then \: 2 \times 2 + - 1 \\ = 4 - 1 = 3 \\ thank \: you[/tex]

Answer:

x = -5

Step-by-step explanation:

Isolate the variable x:

-3x = 15

Since x is being multiplied by -3, we must find a way to cancel it out. To cancel -3 being multipled, divide by -3 instead. Remember, whatever we do to one side of the equation, we must do to the other!

-3x ÷ -3 = 15 ÷ -3

1x = -5

x = -5

Answer:

[tex] - 3x = 15 \\ \frac{ - 3x}{ - 3} = \frac{15}{ - 3} \\ x = - 5[/tex]

Answer:

15 over r when r. so 15-5 : 10

Answer:

(-4, -1)

Step-by-step explanation:

The solution to the system of equations on a graph is the point in which they intersect. Therefore, the solution is (-4, -1).

Answer:

9.7959 sec

Step-by-step explanation:

For the arrow to reach the same height as the bow again, - 4.9x^2+48x=0, 48=4.9x, x=48/4.9=9.7959

The time arrow take to come back to a height even with his bow height is 9.79 seconds.

We have an equation of the height of the arrow with respect to time -[tex]y = -4.9x^{2} +48x[/tex] where y is the height of the arrow in meters above Andrew's bow and x is the time in seconds since Andrew shot the arrow.

We have to find out - how long it takes the arrow to come back to a height even with his bow height.

It is an example of two - dimensional Projectile motion.

We have the function that depicts the variation of height of the arrow with respect to time given by -

[tex]y=-4.9x^{2} +48x[/tex]

To find the time taken by the arrow to come to a height even with his bow height, we should equate y = 0.

[tex]y=-4.9x^{2} +48x=0\\-4.9x(x-9.79)=0\\-4.9x=0\;\;\;and\;\;\;x-9.79=0\\x =0\;\;\;and\;\;\;x=9.79[/tex]

Time cannot be 0, hence the time arrow take to come back to a height even with his bow height is 9.79 seconds.

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The cash price of the article is 88 cedis.

In this question, the article has a price, but paid in cash, there are two discounts.

Thus, the cash price is:

[tex]P = 115\times0.85\times0.9 = 88[/tex]

The cash price of the article is 88 cedis.

A similar question is given at: https://brainly.com/question/14738783

Answer:

Step-by-step explanation:

We don't know if the number can start with a 0 or 1. Since we don't know, I will assume the number can start with either. The restriction is on 6s.

The way this is worded, I'm not sure if the digits can be repeated or not. It sounds like they can.

9 * 9 * 9 * 9 * 9 * 9 = 531441

If you are not allowed to repeat and no digit is a 6 then you get

9 *8 * 7 * 6 * 5*4 = 60480

Answer:

Since all the three sides of the triangle are of equal length, we can find the perimeter by multiplying the length of each side by 3. 20 + 20 + 20 = 3 × 20 = 60 cm.

Answer:

V = 180 ft^3

Step-by-step explanation:

The volume of a cone is found by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6

The height is 5 and we are using 3 for pi

V = 1/3 (3) *6^2 *5

V = 180 ft^3

Answer:

Step-by-step explanation:

graph b and a is negative because it does not start at point 0 and has a straight line that passes through the origin

Answer:

4 times the sum of 21 and a number

Step-by-step explanation:

4(21+ n)

The four is being multiplied by the sum of 21 and n

Explanation:

We use the difference of squares rule to say

(m-n)(m+n) = m^2 - n^2

So in this particular case,

(8z-9)(8z+9) = (8z)^2-(9)^2 = 64z^2 - 81

We can see that the 64 matches with the 'a' of the expression az^2-81, which must mean a = 64

Side note: This means b = 81

Answer:

64

Step-by-step explanation:

took the test

Answer:

9,580,000

Step-by-step explanation:

The ten thousand place is the 8

look and the thousands place which is 3

This is less than 5 so we leave the ten thousands place alone

9,583,507 becomes

9,580,000

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{9,583,507}[/tex]

[tex]\huge\textsf{= 9,600,000} \leftarrow \huge\textsf{nearest \underline{\underline{HUNDRED}} thousand}[/tex]

[tex]\huge\textsf{= 9,580,000} \leftarrow\huge\textsf{nearest \underline{\underline{TEN}} thousand}[/tex]

[tex]\large\textsf{83 is rounded to 80 because it is closer to 80 than 90. 3 is closer to}\\\large\textsf{0 than 10}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 9,580,000}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: C. 4 months

Step-by-step explanation:

Someone in the comments said 4 months, tried it, and I got it correct so just passing it on.

This triangle has base 16 therefore the sides must be 17cm and 17 cm

When we make a altitude it divides it into two right triangles and there is a property in which the altitude of the isoceles triangle divides the base in 2 equal halves

So the side of the right triangle will be x , 8 , 17

Using pythgoreus theorem

x²+8²=17²

x = √225

x = 15

So the altitude is 15 cm

Must click thanks and mark brainliest

Answer: The eldest child received $465,000, the middle child received $13,000, and the youngest received $93,000.

Step-by-step explanation: Subtracting $13,000 from $571,09 leaves the youngest and eldest’s money, $558,000. Dividing the amount left by 6 gives you the youngest siblings check and a total of $93,000. To find how much the eldest receives, you subtract $93,000 from $558,000 leaving the eldest $465,000.

Whats 5867 times 382?

answer;

5867×382

=2241194

Hope it helps you.........

Answer:

15

Step-by-step explanation:

I THINK THIS IS CORRECT

Answer:

15

Step-by-step explanation:

1x1=1

2x2=4

3x3=9

No 2 same numbers can be multiplied to give a result of 15.

5x5=25

6x6=36

7x7=49

The expression (-2 - 6i)-(-2-4i) to a + bi form is 0 - 2i.

Complete question.

Simplify the expression to a + bi form:

(-2 - 6i)-(-2-4i)

Square root of any negative number are expressed as a complex number. For example i = √-1

Complex numbers are generally written in the format z = x+iy

Given the expression (-2 - 6i)-(-2-4i)), in expansion:

(-2 - 6i)-(-2-4i)

= -2 - 6i + 2+4i

Collect the like terms

= (-2 + 2) - 6i + 4i

= 0 - 2i

Therefore the expression (-2 - 6i)-(-2-4i) to a + bi form is 0 - 2i.

Learn more on complex number here: https://brainly.com/question/12375854

Answer:

Step-by-step explanation:

Okay! so first, let's specify the components of a slope intercept form equation.

We got y=mx+b as a general formula, where m is slope and b is the y intercept.

The graph gives us two points on the line at (0, 5) and (-6, 7)

To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

Plugging in the points into the equation, we get 2/-6, or -1/3

we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.

The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.

y=mx+b

y=-1/3x+5

Step-by-step explanation:

since Chelsea can paint in 9hrs and Greg in 7, add the hrs and divide by 2 i.e (9+7)/2 =8 hrs

~10 hrs

MARK AS BRAINLIEST PLEASE

9514 1404 393

Answer:

  ∠BDC = 46°

Step-by-step explanation:

Angle BDC intercepts arc BC, identified as having a measure of 92°. The angle's vertex, point D, is on the circle, so the angle is called an "inscribed angle." The measure of an inscribed angle is half the measure of the arc it intercepts.

  ∠BDC = (1/2)arc BC = 1/2(92°)

  ∠BDC = 46°

Answer:

y= -1/2x + 3

Step-by-step explanation:

A line that would be perpendicular to y=2x+17, means that the line has a negative reciprocal slope. So because the slope is 2 in the original equation, -1/2 would be the slope of the new line

so now, plug in the point (8, -1) into the point-slope formula

y-y1=m(x-x1)

y1= -1

x1= 8

m= -1/2

So,

y- -1= -1/2(x-8)

y+1=-1/2x + 4

Subtract 1 from both sides

y=-1/2x+3

Answer:

2/3

Step-by-step explanation:

The graph point is on (3,2)

Answer:

cos = adjacent/hypotenuse

3/square root13

now you do square root 13 x3 divided by square root 13^2

= 3square root13/13

hope that answers your question

Answer:

B. 51

Step-by-step explanation:

first do inside the parenthesis

83 - 4 * (6-4)^3 = 83 - 4 * (2)^3

now multiply 4 and the third power of 2  (the third power of 2 is 2x2x2=8)

83 - 4 * (2)^3 = 83 - 32 subtract  and the answer is 51

Answer:

[tex]83 - 4 \times {(6 - 4)}^{3} \\ = 83 - 4 \times {(2)}^{3} \\ = 83 - 4 \times 8 \\ = 83 - 32 \\ = 51 \\ thank \: you[/tex]

Answer:

Formulas and Procedures: Outlier An extreme value in a set of data which is much higher or lower than the other numbers. ... Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.