Do I subtract the fractions or divide or do something else with them please help​

The surface area of the actual ramp including the underside is 16.8 ft²

The height of the actual ramp = 1.2 feet  

The height of the model = 6 cm

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm

Actual base = 16 cm × 0.2 ft/cm = 3.2 ft

convert the units

9 cm = 9 cm × 0.2 ft/cm = 1.8 ft

10 cm = 10 cm × 0.2 ft/cm = 2 ft

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)

= 16.8 ft²

Hence, the surface area of the actual ramp including the underside is 16.8 ft²

Learn more about the area here:

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Answer:

7.2 yd² for K12

first amount:

second amount:

total amount:

Hey there!

Guide:

• Penny = 0.01¢ (1 cent)
• Nickel = 0.05¢ (5 cents)
• Dime = 0.10¢ (10 cents)
• Quarter = 0.25¢ (25 cents)
• Half dollar = 0.50¢ (50 cents)

::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
EQUATION #1.

$10.00 + $5.00

= $15.00

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

0.25¢ + 0.25¢ + 0.25¢ + 0.05¢ + 0.05¢

= 0.75¢ + 0.10¢

= 0.85¢

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
$15.00 + 0.85¢

= $15.85
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

Total/Answer: $15.85

______________________________
EQUATION #2.

$5.00 + 0.00

= $5.00

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

0.25¢ + 0.25¢ + 0.01¢ + 0.01¢ + 0.01¢ + 0.01¢

= 0.50¢ + 0.04¢

= 0.54¢

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

$5.00 + 0.54¢

= $5.54

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

Total/Answer: $5.54

______________________________
NOW ADD THEM TOGETHER!

$15.85 + $5.54

= $21.39

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Using the given linear function, it is found that the expressions are given by:

It is:

4x - 3y = 12.

To find y in terms of x, we isolate y, hence the expression is given by:

[tex]3y = 4x - 12[/tex]

[tex]y = \frac{4x}{3} - 4[/tex]

To find x in terms of y, we isolate x, hence the expression is given by:

[tex]4x = 12 + 3y[/tex]

[tex]x = \frac{3y}{4} + 3[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

Step-by-step explanation:

[tex]__________________________[/tex]

Answer:

It is squash

Step-by-step explanation:

This is because for every 3 tomatoes there is one squash. 1 squash times 3 is 3. 3 tomatoes times 3 is 9.

Given -

ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .

To find -

Solution -

As we know to find the area of rectangle we use the formula, Area = L × B

Hence, we will be doing the same.

Area = 4 × 7

Area = 28 square feet

Answer:

28 sq. feet

Step-by-step explanation:

Given:-

To find:-

Solution:-

Area of rectangular bathroom mirror:- L × B

putting the values ,

Area :- 4 × 7 sq. feet

Area:- 28 sq. feet

Answer:

4.58257569 meters (Could probably get away with rounding it to 4.6 meters)

Step-by-step explanation:

Pythag theorem

a^2 +b^2 =c^2

Insert your numbers

10^2+b^2=11^2

Simplify squares

100+b^2=121

subtract 100 from both sides

b^2=21

sqrt both sides

sqrt(b^2)=sqrt(21)

simplify sqrts to get b

b= 4.58257569

Answer:

(a)  144 ft

(b)  2 s

(c)  5 s

(d)  128 ft

Step-by-step explanation:

[tex]h(t) = -16t^2 + 64t + 80[/tex]

Part (a)

To find the turning point of the parabola:

1. differentiate the function:

[tex]\implies h'(t) = -32t + 64[/tex]

2. Set it to zero and solve for t:

[tex]\implies h'(t) =0[/tex]

[tex]\implies -32t + 64=0[/tex]

[tex]\implies 32t = 64[/tex]

[tex]\implies t=2[/tex]

3. Input found value of t back into the function and solve for h:

[tex]\implies h(2) = -16(2)^2 + 64(2) + 80=144[/tex]

Therefore, the maximum height reached by the ball is 144 ft

Part (b)

As found in part (a), the maximum height is reached when t = 2, so the ball reached its maximum height at 2 seconds.

Part (c)

The ball will hit the ground when h(t) = 0

1. Set the function to zero

[tex]\implies h(t)=0[/tex]

[tex]\implies -16t^2 + 64t + 80=0[/tex]

2. Solve for t:

Divide both sides by 16

[tex]\implies -t^2 + 4t + 5=0[/tex]

[tex]\implies t^2 - 4t - 5=0[/tex]

Factor:

[tex]\implies t^2 +t-5t - 5=0[/tex]

[tex]\implies t(t+1)-5(t+1)=0[/tex]

[tex]\implies (t+1)(t-5)=0[/tex]

Therefore:

[tex](t+1)=0 \implies t=-1[/tex]

[tex](t-5)=0 \implies t=5[/tex]

As time is positive, t = 5

So the ball will hit the ground at 5 seconds.

Part (d)

To find the height of the ball after 1 second, input t = 1 into the function and solve for h:

[tex]\implies h(1) = -16(1)^2 + 64(1) + 80=128[/tex]

Therefore, the height of the ball after 1 second is 128 ft

--------------------------------------------------------------------------------------

Parts (a) & (b) - alternative method

Rewrite the function in vertex form by completing the square.

Set the function to zero:

[tex]\implies-16t^2 + 64t + 80=0[/tex]

Subtract 144 from both sides:

[tex]\implies -16t^2+64t-64=-144[/tex]

Factor out -16:

[tex]\implies -16(t^2 - 4t +4)=-144[/tex]

Factor expression in brackets:

[tex]\implies -16(t-2)^2=-144[/tex]

Add 144 to both sides:

[tex]\implies -16(t-2)^2+144=0[/tex]

Therefore:

[tex]\implies h(t)=-16(t-2)^2+144[/tex]

The maximum height is the y-value of the vertex.

The vertex is (2, 144) so the maximum height is 144 ft.

The time the ball reached the max height is the x-value of vertex.

So the time then the ball reached the maximum height is 2 s

Answer:

j

Step-by-step explanation:

Explanation:

Draw 6 identical rectangles side by side as shown in figure 1 in the diagram below. Shade one of the rectangles to represent 1/6 of the cake left over.

Now draw in horizontal lines (see figure 2) to split the leftover amount into 7 equal portions. Notice that we have a 7 by 6 grid of tiny rectangles. There are 7*6 = 42 tiny rectangles in total.

Each person will therefore get 1/42 of the original cake when splitting up this last leftover slice.

Answer:

D)  154 ft²

Step-by-step explanation:

Formula

Area of a rectangle = width x length

We only need to calculate the area of the walls.

There are two pairs of walls with the following dimensions:

Therefore, area to paint = 2(5 x 7) + 2(6 x 7)

                                        = 70 + 84

                                        = 154 ft²

Bottom cube 's LSA need to be counted

LSA:

Answer:

[tex]f^{-1}(x)[/tex] will be equal to 9y+18

Step-by-step explanation:

[tex]f^{-1}(x)[/tex] will be equal to 9y+18

Answer:

has the app crashed, if not i dont know

Step-by-step explanation:

Area of a circle = pi x r(squared)

= 3.14 x (15)2

= 3.14 x 225

=706.5cm2

Answer:

[tex]0.3 = \frac{3}{10}\\\\ 0.46 = \frac{23}{50} \\\\0.075 = \frac{3}{40}[/tex]

Step-by-step explanation:

To convert decimals to fractions, you look at the place of the last digit of the fraction (i.e. the digit that the farthest right from the decimal)

For 0.3, 3 is in the tenths place, so we end up with the fraction [tex]\frac{3}{10}[/tex]

For 0.46, 6 is in the hundreths place, so before simplifying we have [tex]\frac{46}{100}[/tex]

The GCF of 46 and 100 is 2 so we divide the fraction by [tex]\frac{2}{2}[/tex] to get [tex]\frac{46}{100}[/tex] ÷[tex]\frac{2}{2}[/tex] = [tex]\frac{23}{50}[/tex]

For 0.075, the 5 is in the thousandths place, so before simplifying we have [tex]\frac{75}{1000}[/tex]

The GCF of 75 and 1000 is 25 so we decide the fraction by [tex]\frac{25}{25}[/tex] to get [tex]\frac{75}{1000}[/tex] ÷[tex]\frac{25}{25}[/tex] = [tex]\frac{3}{40}[/tex]

Step-by-step explanation:

don't mind with my hand writting

well, it went up from 50 to 62, so it really went up by 12 folks.

if we take 50 to be the 100%, what is 12 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 50 & 100\\ 12& x \end{array} \implies \cfrac{50}{12}=\cfrac{100}{x}\implies \cfrac{25}{6}=\cfrac{100}{x} \\\\\\ 25x=600\implies x=\cfrac{600}{25}\implies x=24[/tex]

Answer:

[tex]A=2000e^{0.085t}[/tex]

Step-by-step explanation:

Make sure you understand the formula for continuous compounding first. The formula is:

[tex]A=Pe^{rt}[/tex] where

A= Total

P= Principal (or the amount invested at beginning)

r= Interest rate (as a decimal)

t= Time (in years)

Note: e is an irrational mathematic number similar to π. Its value is around 2.72, but for these problems, you’ll need to use the version already on your calculator that will be called “[tex]e^{x}[/tex].” On most calculators, it can be accessed by 2nd → ln.

Find the values that you are given:

A= What you are looking for

P= 2000

r= 8.5% as a decimal = 0.085

t= What you change

Plug these into the equation:

[tex]A=2000e^{0.085t}[/tex]

This is the answer!

Answer:

2.7

Step-by-step explanation:

There isn't any piece of data during Taylor's experiment which can be taken as  qualitative. Thus, correct choice is: Option D: None are qualitative.

Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.

In contrast, there is quantitative data which can be expressed numerically.

The problem is missing its option, which are:

Mass can be measured (in kgs, grams etc), degree of inclination can be measured (in radians, degree etc), time can be measured (in seconds, minutes etc).

Thus, there isn't any piece of data during Taylor's experiment which can be taken as  qualitative. Thus, correct choice is: Option D: None are qualitative.

Learn more about qualitative and quantitative data here:

https://brainly.com/question/12929865

Answer:

The answer is D

Step-by-step explanation:

Mark brainliest

Answer:

(4, 4)

Explanation:

(4, 4) is the only point which lies inside both of the inequalities.

Answer:

See below ↓

Step-by-step explanation:

14.

15.

Answer:

1,14,21,28,35,42,42,35,28,21,14,7

Answer:

Step-by-step explanation:

We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.

[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]

A = $10,120.29

Answer:

7/11

Step-by-step explanation:

This is the only fraction without a 1 in its numerator.

Answer:7/11

Step-by-step explanation: unit fractions have 1 unit like 1/2 1/3 1/100 but 7/11 is not have 1 numerator

Step-by-step explanation:

Let’s just start with rows. I’m going to use a, b, and c for the missing numbers (a in the first row, b in the second, c in the third).

Row 1 — 5 × 4 × a = 1

20 × a = 1 → a = 1/20

Row 2 — b × 1 × 100 = 1

b × 100 = 1 → b = 1/100

Row 3 — 20 × 1/4 × c = 1

5 × c = 1 → c = 1/5

—

Check Columns:

5×1/100×20 = 5(20)/100 = 100/100 = 1 ✓

4 × 1 × 1/4 = 1 ✓

1/20×100×1/5 = 100/(20*5) = 100/100 = 1 ✓

Check Diagonals:

5 × 1 × 1/5 = 5/5 = 1 ✓

20 × 1 × 1/20 = 20/20 = 1 ✓

Answer:

$7.13

Step-by-step explanation:

Very simple, we subtract 12.87 from 20 and the answer is 7.13.

So should get back $7.13 as her change

Answer:

A solution means any variable that makes the equation true