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3 years ago

The square floor of a tent has an area of 49sq. feet. What is the length of the side of the tent?

1 answer:

8 0

The area of a square is equal to s^2 where s is the length of one side.

49=s^2.

Root both sides to isolate the variable.

7=s

Final answer: 7 ft

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Mr. K has 112 feet of fencing to enclose a new garden. What is the maximum area of the garden that he can enclose?

musickatia [10]

Answer:

759 square foot garden

Step-by-step explanation:

L= length

W= Width

Perimeter = 2(L + W)

112 = 2(L + W)

divide both sides by 2 and you get

56 = L + W

L=33

W=23

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2 years ago

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Write each sequence as a function.

Fiesta28 [93]

Answer: $f(n)=3^{n-1}$

Step-by-step explanation:

Given Recursive formula : $a_{n+1} = 3a_n,$ , $a_1=1$

Then, $a_2=a_{1+1} = 3a_1=3(1)=3$

$a_3=a_{2+1} = 3a_2=3(3)=9$

$a_4=a_{3+1} = 3a_3=3(9)=27$

We can write it as : $f(n)=3^{n-1}$

such that

n $f(n)=3^{n-1}$

1 $f(1)=3^{1-1}=1$

2 $f(2)=3^{2-1}=3^1=3$

3 $f(3)=3^{3-1}=3^2=9$

Hence, the required function: $f(n)=3^{n-1}$

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2 years ago

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Can you pls help with these I really need help

alukav5142 [94]

Answer:

for question one - x = 12

Step-by-step explanation:

a triangle is always 180, in other words you will add all the corners equal to 180

ex (for first question) - 7x -2 + 4x + 5x - 10 = 180

you add like terms, the x with x and single numbers with numbers, which results in 16x - 12 = 180. then you do the original operation "what you do to one sign of the equal side you do to the other"

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3 years ago

Geometry question, any help is appreciated

kodGreya [7K]

Answer:

Hence, the ratios are given by 5:7, 25:49, 125:343.

Step-by-step explanation:

We are given two spheres such that:

Volume of small sphere $V_{s}$ = 250 $yd^{3}$

Volume of large sphere $V_{l}$ = 686 $yd^{3}$ .

Then the ratio of volume = 250 : 686 = 125 : 343.

Since, the volume of a sphere = $\frac{4 \pi \times r^{3}}{3}$ , this gives us that the ratio of the radius = ∛ $V_{s}$ : ∛ $V_{l}$

i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.

Further, as the surface area of a sphere = $4 \pi \times r^{2}$ , this gives us that the ratioof surface area = $r_{s} ^{2}$ : $r_{l} ^{2}$

i.e The ratio of the surface area = $5^{2}$ : $7^{2}$ = 25 : 49

So, the ratio of the surface areas = 25 : 49.

Hence, the ratios are given by 5:7, 25:49, 125:343.

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