A water tank is in the shape of a right rectangular prism. Its dimensions are 6 feet by 4 feet by 7 feet. What is the surface area of this tank?

A. 110

B. 125

C. 144

D. 188

Length - 27 cm

Width  - 9 cm

Here we go (hope this helps),

The area of the rectangle is 243. To get area, you do length x width. Your equation will look like this

3x (x) = 243

Simplify this using PEMDAS

3x^2 = 243

Next, you divide both sides by 3 to undo the times 3

x^2 = 81

Then, you take the square root of both sides to undo the squared symbol

x=9

Using this, you know the width is 9. Since the length is 3x the width, you know that 3 x 9 is 27 and you can clearly see that the dimensions are 9 and 27!

Answer:

the probability that the light is​ red would be 5 or 5%

Step-by-step explanation:

if we add all of the possible outcomes together like so :

50+6+14 we will get 70

now we know we want to find out the probabilty  of it being red we need to divide 70 by 14 and we get 5 or 5% your welcome and me as a freind if you need more help or add me on messenger the 1 carlos is my name

An equation is formed of two equal expressions. Felipe is paying $6 more each month.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that represents Felipe's payment per month is given as y=-30+290, therefore, the amount that Felipe pays every month is the gradient of the line slope of the equation y=-30+290 which is 30.

Similarly, the graph showing Samantha's payment, the slope will be,

m = (y₂-y₁)/(x₂-x₁) = (240-0)/(0-10) = -24

Thus, we can conclude that Felipe is paying $6(30-24)more each month, because the amount paid by Felipe is 30, while the amount paid by Samantha is 24.

Hence, Felipe is paying $6 more each month.

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Answer:

T=5

Step-by-step explanation:

5 -3 = 10/t

2 =10/t

2t = 10

T = 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         Solve for the variable 5=10/t+3.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.

Since we have numbers on both sides, we need to move all numbers to the right:-

[tex]\bold{5=\dfrac{10}{t} +3}[/tex]

[tex]\bigstar[/tex] Subtract 5 on both sides:-

[tex]\bold{0=\dfrac{10}{t} +3-5}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{0=\dfrac{10}{t} -2}[/tex]

[tex]\bigstar[/tex] Now, subtract 10/t on both sides:-

[tex]\bold{-\dfrac{10}{t} =-2}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{\dfrac{10}{t} =2}[/tex]

[tex]\bigstar[/tex] Multiply by t on both sides:-

[tex]\bold{10=2t}[/tex]

[tex]\bold{2t=10}[/tex]

[tex]\bigstar[/tex] Divide by 2 on both sides:-

[tex]\bold{t=5}[/tex]

[tex]\rule{300}{2}[/tex]

the volume of the prism is simply the area of any of the sides times the length, so in this case the shaded area times 4.

[tex]\stackrel{area}{\left( 2\frac{1}{8} \right)}(\stackrel{length}{4})\implies \left( \cfrac{17}{8} \right)(4)\implies \cfrac{17}{2}\implies 8.5~units^3[/tex]

Answer: 8 1/2

Step-by-step explanation: Khan

Answer:

1st one 6x is greater than or equal to 120

Step-by-step explanation:

because it sys she needs to read 120 so it cant be 6x is less than or equal to 120

Answer:

D- 99 1/4 ; $992.50

Step-by-step explanation:

you use the list of bonds to eventually get D- 99 1/4

Total number of Counters = 48

Red Counters = 20

green counters = 48 - 20

⠀⠀⠀⠀⠀⠀⠀⠀⠀= 28 .

Ratio of Red counters to that the number of green counters = 20 : 28

= 20/28

[tex] = \huge \frac{20}{28} [/tex]

The ratio of the number of red counters to the number of green counters will be 5/7.

The utilization of two or more additional numbers that compares is known as the ratio.

A bag contains only red and green counters. A total bag contains 48 counters, of which 20 are red.

The number of green counters is calculated as,

⇒ 48 - 20

⇒ 28

The ratio of the number of red counters to the number of green counters is calculated as,

Ratio = 20 / 28

Ratio = 5/7

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[tex]4\left(\sqrt[5]{x^2 y} \right) +3 \left( \sqrt[5]{x^2 y} \right)\\\\=(4+3) \left( \sqrt[5]{x^2 y} \right)\\\\=7 \left( \sqrt[5]{x^2 y} \right)[/tex]

[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]

The equation:

[tex]4 \sqrt[ 5 ]{ { x }^{ 2 } y } +3 \sqrt[ 5 ]{ { x }^{ 2 } y } [/tex]

1) Collect like terms by adding their coefficients ( [tex]3[/tex] and [tex]4[/tex])

[tex](3+4)\sqrt[ 5 ]{ { x }^{ 2 } y }[/tex]

2) Calculate

[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]

Answer:

13.5

Step-by-step explanation:

213.21÷15.8= 13.494

Rounded : 13.5

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Answer:

1. ?

2. d

3. g

4. f

5. k

6. ?

7. j

8. l

9. h

10. b

11. ?

12.?

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

An equation is an expression that shows the relationship between two or more numbers and variables.

Volume of cylinder = π * radius² * height

Volume = π * 4² * 9 cm = 452.16 cm³

Volume of the cube = 3 cm * 3 cm * 3 cm = 27 cm³

Number of cubes needed = 452.16 cm³ / 27 cm³ = 16.75

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

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Answer:

64.0874 or 20.41pi

Step-by-step explanation:

circumference = diameter x pi

C = D x pi

C  = 20.41pi(lets say pi is 3.14)

C = 64.0874

Answer:

de=30,fc=30,cd=22

Step-by-step explanation:

so r =5

6*5=30

10*5-20=30

2*5+12=22

so the only left is fe so cd=fe

fe=22

Answer: A. Yes, because a difference in mean distances of 4.9 feet or more occurred only 6 out of 200 times, meaning the difference is statistically significant and there is convincing evidence the new golf ball travels farther than the original golf ball.

Step-by-step explanation: took the test (look at the graph as well)

Answer:

a= +1

b= -2

c= +7

Step-by-step explanation:

a= coefficient of xX^2 = +1

b= coefficient of X = -2

c = the constant term= +7

Answer:

he worked 5 hours ..........

Answer:

5 hours

Step-by-step explanation:

to find unit rate:

10/2 which is 5

so 5 kg per hour

find for 25 kg:

25/5 which is 5.

so 5 hours.

Answer:

Step-by-step explanation:

Solving

Case 1 : x = +5

Case 2 : x = -5

Answer:

768 m²

Step-by-step explanation:

» Concepts

Surface area is the amount of area covered by the surface of an object. In a rectangular prism, the formula to find the TSA (total surface area) is [tex]2(wl+hl+hw)[/tex], where w = width, l = length, and h = height.

» Application

We are asked to find the surface area of a rectangular prism with a width of 14m, a length of 15m, and a height of 6m. Now, we have to apply the aforementioned formula using these measurements.

» Solution

Answer:

24

Step-by-step explanation:

3 x 1/72 = 1 mile

72/3 = 24

The car will use 1 gallon of gas per 24 miles

Answer:

YES

Step-by-step explanation:

as 5,3 and 4 are Pythagorean triplets, with 5 being C/the hypothenuse it would work as a right angled triangle.

3^2+4^2=c^2

9+16=c^2

25=c^2            c=5

Answer:

2048 markers

Step-by-step explanation:

One box has 16 markers and the teacher buys 128 boxes, then total would be

128 boxes x (16 markers / 1 box) = 2048 markers

Step-by-step explanation:

it says f(-4).

so, x = -4.

into what function segment is this "falling" ?

well, into the x < 3 segment, right ? because -4 < 3.

so, we need to use

f(x) = x² - 5

f(-4) = (-4)² - 5 = 16 - 5 = 11

Answer:whichever # is closest to 0.6 round up to 1 or 60%

Step-by-step explanation:

Answer:

round your answer to 0.6

Step-by-step explanation:

for example 0.58 rounds up to 0.6

Answer:

4th option

Step-by-step explanation:

using the addition formula for cosine

cos(a - b) = cosacosb + sinasinb

note that 15° = (45 - 30)° , then

cos15°

= cos(45 - 30)°

= cos45°cos30° + sin45°sin30°

= ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )

= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]

Answer:

[tex]\cos 15^{\circ}= \dfrac{\sqrt{2}+\sqrt{6}}{4}[/tex]

Step-by-step explanation:

Trig Identity:

[tex]\cos (A-B)=\cos A \cos B + \sin A \sin B[/tex]

[tex]\begin{aligned}\implies \cos 15^{\circ}=\cos (45^{\circ}-30^{\circ}) & =\cos 45^{\circ} \cos 30^{\circ} + \sin 45^{\circ} \sin 30^{\circ}\\\\& = \dfrac{\sqrt{2}}{2} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{\sqrt{2}}{2} \cdot \dfrac{1}{2}\\\\& = \dfrac{\sqrt{2}\sqrt{3}}{2 \cdot 2}+\dfrac{\sqrt{2} \cdot 1}{2 \cdot 2}\\\\& = \dfrac{\sqrt{2\cdot 3}}{4}+\dfrac{\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{6}+\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{2}+\sqrt{6}}{4}\end{aligned}[/tex]

Answer:

No.

Step-by-step explanation:

One megameter is [tex]10^6[/tex] meters. What you have shown is [tex]10^5.[/tex]

The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.

This means that Purple #1 is a redder shade of purple than Purple #2.

Purple #2 is a bluer shade of purple than Purple #1.

Step-by-step explanation:

The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.

Making blue's quantity as 3 parts for purple #1 implies red part becomes 1.5 to maintain the ratio 1:2

Purple #1 has 1/3 parts red and 2/3 parts blue. Purple #2 has 1/4th part red and 3/4th part blue.

Hence, Purple #1 is a redder shade of purple than Purple #2.

From the above explanation, Purple #2 is a bluer shade of purple than Purple #1.

Sure hopes this helps you :)