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daser333 [38]
3 years ago
11

a square pyramid with a base area of 16 square feet and a cube with a side length of 4 feet have equal volumes. what is the heig

ht of the pyramid?
Mathematics
2 answers:
elena55 [62]3 years ago
8 0

The height of pyramid will be 48 feet

Marysya12 [62]3 years ago
3 0
Firstly, we need to understand the formula of the volume of a pyramid:

\frac{1}{3}  \times base \: area \times height
The volume of the cube:
4 \times 4 \times 4 \: or \:  {4}^{3}  \\  = 64 {feet}^{3}
We can then set up a equation:

Let the height be x feet.
64 = 1/3 × 16 × y
y = 64 × 3 × 1/16
y = 12 feet

Therefore,the height of pyramid is 12 feet.

Hope it helps!
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ASAP plz
Ivenika [448]

Answer:

$23.85

Step-by-step explanation:

39.95 x 3 which can also be 39.95 + 39.95 + 39.95=119.85

So then do 143.70-119.85 to find the answer which is 23.85.

8 0
3 years ago
Read 2 more answers
The sum of two integers is 81.if the product is 1088.what are the integers
arlik [135]

Answer:

(a;b)={(17; 64); (64; 17)}

Step-by-step explanation:

a+b=81 => b=81-a

a*b=1088

a*(81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

(a-17)(a-64)=0

=> a=17 and a=64

for a=17 => b=81-17=64

for a=64 => b=81-64=17

(a;b)={(17; 64); (64; 17)}

3 0
3 years ago
F(n)=5.(-2)n-1<br>Complete the recursive formula of f(n).​
Alex73 [517]

Answer:

a(n) = (-2)(a_{n-1})

a_{1}=5

Step-by-step explanation:

The given expression is in the form of the explicit formula of a geometric sequence.

f(n) = a(r)^{n-1}

Where 'a' = First term of the sequence

r = common ratio

Recursive formula of a geometric sequence is,

a(n) = (a_{n-1}).(r)^{n-1}

a(n) = (-2)(a_{n-1})

Where, a_{1}=5

So the recursive formula will be a(n) = (-2)(a_{n-1})

6 0
3 years ago
numerele a, b si c sunt direct proportionale cu 2, 3 si 5. Daca media aritmetica a celor trei numere este egala cu 100, determin
Fynjy0 [20]

Answer:

a = 60

b = 90

c = 150

Step-by-step explanation:

Numerele a, b și c sunt direct proporționale cu 2, 3 și 5.

Unde k este constantă de proporționalitate

a ∝ 2

a = 2k

b ∝ 3

b = 3k

c ∝ 5

c = 5k

Dacă media aritmetică a celor trei numere este egală cu 100, determinați numerele a, b și c

= 2k + 3k + 5k / 3 = 100

= 10k / 3 = 100

Cross Multiply

= 10k = 3 × 100

= 10k = 300

Împărțiți ambele părți la 10

k = 300/10

k = 30

Pentru numărul a

a = 2k

a = 2 × 30

a = 60

Pentru numărul b

b = 3k

b = 3 × 30

b = 90

Pentru numărul c

c = 5k

c = 5 × 30

c = 150

Prin urmare, a = 60, b = 90, c = 150

3 0
3 years ago
To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry c
prisoha [69]

Answer:

t = 5

Step-by-step explanation:

  1. 19 + 4t = 39
  2. 4t = 20 Subtract 19 from 39
  3. \frac{4t}{4} = \frac{20}{4} Divide by 4
  4. t = 5
6 0
3 years ago
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