A pool in the shape of a rectangular prism holds 648 cubic feet of water. The pool is 4 feet deep and 9 feet wide. What is the length of the pool in feet? *

The side labeled "a" is made the longer side. These are the two congruent sides. So a > b.

We are told that the longer side is 6.3, so a = 6.3, meaning that

2a+b = 15.7

2(6.3)+b = 15.7

12.6+b = 15.7

b = 15.7-12.6

b = 3.1

The triangle has sides of: 6.3, 6.3, 3.1

The perimeter is 6.3+6.3+3.1 = 15.7

Going back to the question "which equation can be used to find the length of the base?", it sounds like either you were given a list of multiple choice answers, or you just fill in the blank. If multiple choice, then try to see which answer matches with what I wrote above. If fill in the blank, then I would just enter either 2(6.3)+b = 15.7 or 12.6+b = 15.7

Answer:

2(6.3)+b = 15.7 or 12.6+b = 15.7

Step-by-step explanation:

Answer:

The answer is B

Answer:

The amount of ham in each cake = 1/12 kg

Question:

Matías bought a quarter kilogram of ham and used it to make three cakes like that. There was no leftover and he put the same amount of ham in each cake, how much he touched in each cake.

Step-by-step explanation:

Matías bought = 1/4 kilogram of ham

1/4 kilogram of ham = 3 cakes

There was no remainder

the same amount of ham is in each cake.

To find the amount of ham in each cake, we need to know the fraction of ham in each cake.

Since 3cakes = 1/4kg

1cake = (1/4kg×1cake)/3cakes

= 1/4kg ÷ 3 = 1/4 × 1/3

The fraction of ham in each cake = 1/12

The amount of ham in each cake = 1/12 kg

Answer:

The cost for a repair that takes one and a half hour is £52

Step-by-step explanation:

We can create a function that relates the value Wayne charges in function of the time it takes for him to fix the washing machine in hours. Since there's a fixed cost of 28 and another charge that is variable of 16 per half hour, then the function below represents the cost of the repair:

[tex]cost(t) = 28 + 32*t[/tex]

In this case the variable value "16" was multiplied by two, because it's easier when the time is given in hours and every hour contains two half-hours. If the repair took 1.5 h, then:

[tex]cost(1.5) = 28 + 16*1.5\\cost(1.5) = 52\\[/tex]

The cost for a repair that takes one and a half hour is £52

Answer:   A. mark as brainliest

Step-by-step explanation: dont need to

I will be showing you the graphing method.

To find the slope of the line using the graphing method,

we start by plotting our two points.

We will call (4,7) point A and (5,3) point B.

Now daw a line that contains these points.

Now remember that the slope or m is equal to the rise/run.

So to get from point A to point B, we rise -4 units

and run 1 unit so our slope is -4/1 or -4.

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

Answer:

its is C. X-Y= 0

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

plz let me know if this is incorrect

Answer: 53 c

Step-by-step explanation:

If 8 oranges cost 60c

7 oranges will cost (7 x 0.60) / 8 = 0.53

Answer:

$144

Step-by-step explanation:

[tex]\dfrac{\$3}{\text{lap}} \cdot \dfrac{4\text{ laps}}{\text{mile}}\cdot 12\text{ miles} =[/tex]

[tex]\boxed{\$144}[/tex]

Hope this helps!

Answer:

First lets subtract 3 from both sides. That gives us 5x = 7x-4. Then lets move the -4 to the other side reversing the sign. 5x+4=7x. Now lets subtract 5x from both sides. That will give us 2x = 4. Now all we need to do as a last step is divide by 2. That will give us x = 2. That is how you solve it in a nutshell

brainliest?

I hope you liked my answer!

Answer:

7,035.95

Step-by-step explanation:

If your Current Principal Is 4,550.00, and your interest rate is 5.6%, then in 8 years you would have 7,035.95 if your interest rate is anually.

[tex]answer \\ = 4 \\ solution \\ to \: find \: the \: value \: of \: x \\ in \: an \: equilateral \: triangle \: all \: interior \\ angles \: are \: equal \: and \: measures \: 60 \: \\ degree. \\ 10x + 20 = 60 \\ or \: 10x = 60 - 20 \\ or \: 10x = 40 \\ or \: x = \frac{40}{10} \\ x = 4 \\ hope \: it \: helps[/tex]

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

in a equilateral triangle all the interior angles are equal and measure 60 degrees,

will solve now,

[tex]10x + 20 = 60 \\ 10x = 60 - 20 \\ 10x = 40 \\ \frac{10x}{10} = \frac{40}{10} \\ x = 4[/tex]

hope this helps

Answer:

1/3

is the answer

please mark me as a brainliest

Answer:

Check below please

Step-by-step explanation:

A quadrilateral is a polygon with four sides.

Then let's plot it, check it below.

1) Since 5 line segments were given for a quadrilateral, one of them is an interior one. In this quadrilateral, a rhombus. We have a diagonal, id est a line segment between non-consecutive points.

2) Let's calculate the area of this rhombus. Since this polygon is made up of two triangles let's find it using Heron's Formula, not very popular. But equally valid, also we don't have the height nor angles.

All we need is the semi-perimeter, (half of the Perimeter (2P) and plug it in the formula:

[tex]\bigtriangleup ABD semi-perimeter:\frac{6+8.5+7.5}{2} \therefore s=11\\Area \:\bigtriangleup ABD=\sqrt{11(11-6)(11-8.5)(11-7.5)}=\frac{5\sqrt{77}}{2} \approx21.94 cm\\\\\bigtriangleup \:BCD\: semi-perimeter:\frac{4.5+5+7.5}{2} \therefore s=8.5\\\\Area \bigtriangleup BCD=\sqrt{8.5(8.5-4.5)(8.5-5)(8.5-7.5)}=\sqrt{119}\approx 10.90[/tex]

[tex]Area\: of\: Rhombus\: ABCD=21.94+10.90=32.84 cm^2[/tex]

3) Well, now we need to trace a triangle whose area is 32.84 cm^2. From the classical formula for Area of Triangles we can write:

[tex]\frac{b*h}{2}=32.84 \therefore b*h=65.68[/tex]

Let's find out two values one for the base and another for height. Since 65.58 can be divided both by two and three, it is divisible by 6.

So

[tex]65.58 : 6 =10.93\\b=6\\h=10.93[/tex]

Answer:

Step-by-step explanation:

Prism Area

The total surface area of a rectangular prism is given by ...

  SA = 2(LW +H(L +W))

For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...

  SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))

  = 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1

__

Pyramid Lateral Area

The lateral area of the pyramid is 4 times the area of one triangular face:

  LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2

__

Pyramid Base Area

The area of the square base of the pyramid is the square of the length of one edge:

  B = (5 ft)^2 = 25 ft^2 . . . blank 3

__

Total Exposed Area

The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.

  total exposed area = (exposed prism area) + (pyramid lateral area)

  = (prism area) - (pyramid base area) + (pyramid lateral area)

  = 256 ft^2 - 25 ft^2 + 50 ft^2

  total exposed area = 281 ft^2 . . . blank 4

Answer:

$203.71

Step-by-step explanation:

Given;

Principal = $5,000

The amount per $1.00 is given as 1.040742

The total amount earned is equal to the product of the principal and the amount per dollar.

A = Principal × amount per dollar

Substituting the values;

A = $5000 × 1.040742

A = $5203.71

Interest earned = Total amount earned - principal

Interest earned = $5203.71 - $5000

Interest earned = $203.71

Unfortunatly brainly does not provide me with graphics support.

First thing to realise is that we are dealing with inequality which essentially means that the solution will be an interval or more specifically a possibly constrained set of value.

Here is the inequality:

[tex]

350 > 125 + 15r

[/tex]

If we subtract 125 and then divide by 15 on both sides we get:

[tex]

r > 15

[/tex]

This notation essentialy means that inequality is true for any r smaller than 15. We can write that as r being in some set of numbers that represents the possibilites:

[tex]r\in\{14,13,12,\dots,-\infty\}[/tex]

In interval notation that is:

[tex]r\in(-\infty,15)[/tex]

Answer:

4

Step-by-step explanation:

Whatever you multiply or divide to the numerator, you do to he denominator.

Here, 12 was divided by 4 to obtain 3 in the other fraction. So, the missing number has to be 16 divided by 4, which gives 4

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

In this question we are presented with  [tex]\frac{12}{16}[/tex]  and we want to simplify to have a numerator of 3. When simplifying fractions it's important to do the operation on both the numerator and the denominator so,

[tex]\frac{12}{16}[/tex]   →  Half the numerator and the denominator →  [tex]\frac{6}{8}[/tex]  →  Half the numerator and the denominator again →  [tex]\frac{3}{4}[/tex]

Answer:

x=22.5

Step-by-step explanation:

We are given the proportion:

5/x=2/9

Cross multiply. Multiply the numerator (top number) of the first fraction by the denominator (bottom number) of the second. Then multiply the denominator of the first by the numerator of the second.

5*9=2*x

45=2x

2 and x are being multiplied. The opposite of multiplication is division. Divide both sides by 2. This will cancel out the 2 being multiplied by x, and leave x by itself.

45/2=2x/2

45/2=x

22.5=x

If we substitute 22.5 in for x, the final proportion will be:

5/22.5=2/9

Answer: 22.5 = x

Step-by-step explanation: First, write the problem, 5/x = 2/9. Next, cross multiply. Write the equation, 5 x 9 = 2x. After, write the equation in a multiplying fraction sentence. 45/2 = 2x/2. Lastly, solve for x by dividing 45 by 2. You should end up with a result of 22.5 = x.

Answer:

0

Step-by-step explanation:

The first number is 40 and decreases by 4 in each factor, and the second number is -10 and increases by 1 in each factor.

The first number is positive and decreases by 10% its value in each factor, and the second number is negative and increases by 10% its absolute value in each factor. That means we will have a factor where both numbers are 0 (in the 11th value, we will have the first number 40 - 4*10 = 0 and the second number -10 + 1*10 = 0), so the factor will be 0 + 0 = 0, and then whole product will be zero.

Answer:

x = 10.8

y = 11.2

Step-by-step explanation:

AB : AP = AC : AQ

5 :(5+9) = 6 : (6+x)

5: 14 = 6 :(6+x)

5(6+x) = 14*6

30 + 5x = 84

5x = 54

x = 10.8

AB : AP = BC :PQ

5 :14 = 4 : y

5y = 14*4

y = 11.2

Answer:

10 and 2

Step-by-step explanation:

[tex]10*2=20\\\\10+2=12[/tex]

Answer:

10 and 2

Step-by-step explanation:

Use trial and error method Or, I recommend finding the factors of 20.

The first ones that come to mid would be:

10, 2

4,5

20,1

Then we try each of them out, by adding the corresponding factors.

this way, we see that 10 and 2 are the only ones.

Please mark brainiest

Answer:

[tex]f(n)=\frac{1}{3}n[/tex]

Step-by-step explanation:

To convert from feet to yards, divide by the value 3.

Answer:

A

Step-by-step explanation:

If I'm completely honest I'm not really sure of this cause I hv another way of doing this...

   ,

Answer:

$252

Step-by-step explanation:

If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks

Answer: -x + y = 8

Step-by-step explanation:

So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.

Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.

Lets plug in (2,10)

10 = 2 + b

10 - 2 = b

b = 8

So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.

-x + y = 8

Answer:

[tex]6a^{5}[/tex].

Step-by-step explanation:

To multiply exponents, you will need to begin by multiplying the coefficients as normal. In this instance:

3 · 2 = 6.

When multiplying exponents, however, remember that you must ADD the exponents. Therefore:

3a² · 2a³ = [tex]6a^{5}[/tex]