The length of rectangular garden is 6 feet longer than the width. If the area of the garden is 16 square feet, find the length and width of the garden.

The length is __________ ft

The width is ___________ ft

Answer:

5832

Step-by-step explanation:

18 × 18 = 324

324 × 18 = 5832

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

“ [tex]\mathsf{Is\ 9a^2 +25\ the\ difference\ of\ 2\ squares?}[/tex]

[tex]\textsf{Well, when you see or hear the word difference it usually MEANS SUBTRACT}\\\textsf{or SUBTRACTION especially in MATHEMATICS!}[/tex]

[tex]\mathsf{\bold{+}\ usually\ means\ sum\ or\ more\ than}[/tex]

[tex]\textsf{So therefore to \boxed{\textsf{Answer}} to this giving question \boxed{\boxed{\huge \text{\bf No}}}}\huge\checkmark[/tex]

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

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

Answer:

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]

Step-by-step explanation:

I'm assuming the question here is asking for f(x)

The first step would be to find the antiderivative of f'(x)

[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]

Apply the reverse power rule

[tex]x + 2x^\frac{3}{2} + C[/tex]

Now solve for C when x = 9

[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]

Now substitute into the antiderivative

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

For more such questions on midpoints visit:

https://brainly.com/question/28667736

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The spider needs 15 hours to climb up the top of the wall.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

A spider is trying to climb a wall of height = 15 meters

In each hour, it climbs up 3 meters but falls back 2 meters,

⇒ [tex]+3-2=1[/tex]

Thus spider climbs 1 meter per hour.

For 15 meter wall, the spider needs 15 hours to climb up the wall.

Hence we can conclude that the spider needs 15 hours to climb up the top of the wall.

Learn more about word problems here

brainly.com/question/20594903

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Answer:

120

Step-by-step explanation:

2*60 = 120

Answer:

Given, x = 2 and z = 12

z + 5x³

12 + 5×2³

12 + 5×8

12 + 40

52

Don't forget to like and mark me

Answer:

If the circle's radius is 3, then its area is 28.27 cm.

Step-by-step explanation:

A circle's area is equal to (A = π r²).

Plug in the radius for R, and your equation should look like the following:

A = π3²

According to PEMDAS, you have to do the exponent first.

Do 3 squared, THEN multiply what you get by pi.

Then what you get should be your area.

Hope this helped !!

Answer:

?

Step-by-step explanation:

9514 1404 393

Answer:

  $12 for each shirt

Step-by-step explanation:

If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...

  6s +3t -79.50 = 0

  3s +2t -41.00 = 0

The solution for s can be found using the "cross multiplication" technique.

Differences of products can be formed:

  d1 = (6)(2) -(3)(3) = 3

  d2 = (3)(-41) -(2)(-79.50) = 36

Then we have ...

  1/d1 = s/d2   ⇒   s = d2/d1 = 36/3 = 12

The cost of each shirt is $12.00.

___

2 ties cost 41-36 = 5, so each one is $2.50.

_____

Additional comment

The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.

This method solves the general-form equations ...

by considering the two rows of coefficients:

Then differences of cross-products are formed in adjacent columns:

  d1 = ae -db

  d2 = bg -ec

  d3 = cd -ga

The solutions are ...

  1/d1 = x/d2 = y/d3   ⇒   x = d2/d1, y = d3/d1

Answer:

38

Step-by-step explanation: 100 - 62= 38

I am not sure of my answer tho

Answer: Fourth Choice. -2

Step-by-step explanation:

Given

( -9 | 6 + ( -10 ) | ) / 2 · 3²

Expand (-10) parenthesis

= ( -9 | 6 - 10 | ) / 2 · 3²

Expand  (-9|6-10|) parenthesis

= ( -9 | -4 | ) / 2 · 3²

= ( -36 ) / 2 · 3²

Simplify the denominator and get answer

= -36 / 2 · 9

= -36 / 18

= -2

Hope this helps!! :)

Please let me know if you have any questions

9514 1404 393

Answer:

  144 square meters

Step-by-step explanation:

The formula for surface area of a cuboid is useful.

  A = 2(LW +H(L+W))

  A = 2((6 m)(6 m) +(3 m)(6 m +6 m)) = 2(36 m² +36 m²)

  A = 144 m²

The surface area of the figure is 144 square meters.

Answer:

19

Step-by-step explanation:

f(x)= 2(3^x) + 1

f(2)= 2(3^2) + 1

= 2(9) + 1

= 18 + 1

= 19

Answer:

Step-by-step explanation:

5integer 0/1 is the mixed fraction of 5 units

Answer:

P = L+B

Hope it helps

Answer:

6x-23+3m

6x+3m-27 we can't add them b/c they have d/t

variables so the answer is 6x+3m-27

Answer:

yeah 10 people

divide the 30 lbs with 3 (because she can feed 2 people with 3 lbs) and yeah

Answer:

z = -0.816

Step-by-step explanation:

z = (x-μ)/σ

z = (4-6)/2.45

z = -0.816

Answer:

Equivalent: 6(y - 3) AND 2(3y - 9)

Not Equivalent: 3(y - 6) AND 2(y - 9)

Step-by-step explanation:

4y - 2(5 - y + 4)

4y - 2(9 - y)

4y - 18 + 2y

6y - 18 (Everything must be equivalent to this)

3(y - 6) NOT EQUIVALENT

3y - 18

6(y - 3) EQUIVALENT

6y - 18

2(y - 9) NOT EQUIVALENT

2y - 18

2(3y - 9) EQUIVALENT

6y - 18

Answer:

for the regular tickets they charged $8 for the pre sale the charged $6

Answer:

Area of triangle formula is ;

[tex] \frac{1}{2} bh[/tex]

Answer:

21/3 or 7/1

Step-by-step explanation:

Answer:

21/3

Step-by-step explanation:

hope this helps you

Answer:

[tex]P(x \le 1)= 0.9093[/tex]

Step-by-step explanation:

Given

[tex]\lambda = 2.4[/tex] -- mean

Required

Determine [tex]P(x \le 1)[/tex]

This is calculated using:

[tex]P(X \le x)= 1 - e^{-\lambda x}[/tex]

So:

[tex]P(x \le 1)= 1 - e^{-2.4 * 1}[/tex]

[tex]P(x \le 1)= 1 - e^{-2.4}[/tex]

[tex]P(x \le 1)= 1 - 0.0907[/tex]

[tex]P(x \le 1)= 0.9093[/tex]

Answer:

I can't really see the pic :(

Step-by-step explanation:

Answer:

8^2

Step-by-step explanation:

8*8=8^2 or 64

Answer:

3/6 or 1/2

Step-by-step explanation:

the amount that chose pizza = 2/6

5/6 = the amount that chose pizza + the amount that chose tacos

5/6 = 2/6 + the amount that chose tacos

the amount that chose tacos = 5/6 - 2/6

the amount that chose tacos = (5-2)/6

the amount that chose tacos=3/6=1/2

Answer:

3/6

Step-by-step explanation:

Answer:

h(2)= 4.5

Step-by-step explanation:

h(x)=2.25x

h(2)=2.25(2)

= 4.5

Answer:

Hi! The answer to your question is 4.5

Step-by-step explanation:

To find h(2) we just have to find x in the equation and replace it with a 2

h(x)=2.25(2)

h(x)=2.25(2)=4.5

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⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!