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o-na [289]
3 years ago
12

Regular triangular pyramid has 6 cm long base edge and slant height k=9 cm. Find the lateral area of the pyramid.

Mathematics
2 answers:
elena55 [62]3 years ago
8 0
The lateral area for regular pyramid is given by:
A=l√((w/2)²+h²)+w√((l/2)²+h²)
where:
w=width
l=length
h=height
plugging the values in the formula we get:
A=6√((6/2)²+9²)+6√((6/2)²+9²)
A=6√90+6√90
A=12√90
A=113.842 sq. feet
A=
kotykmax [81]3 years ago
8 0
The AL equation for a Pyramid is 1/2*Pb*h
1/2*(6*3)*9
1/2*18*9
9*9
81
The AL is 81
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There are 231 cubic inches in a gallon a large juice can has a diameter of 6 inches and a height of 10 inches. How many gallons
andrew-mc [135]

Answer: Juice Can   can hold up to 1.22 gallon of Juice


Step-by-step explanation:

We are given that a large juice can has a diameter of 6 inches and has a height of 10 inches

we need to find how many gallons of juice does the can hold

Please see a "can" has a cylindrical figure

so here we can find the volume of juice that the given "can" holds using the formula for Volume of cylinder

Volume of cylinder is given by :

V=\pi r^2h

we know that height h = 10 inches , diameter d = 6 inches so radius would be r = 6/2 = 3 inches

now plugging the value of h = 10 and r = 3 in the formula for volume of cylinder , we get:

V=\pi (3)^2(10)

V=\pi (9)(10)

so V=282.74 cubic inches

Now we need to find the volume in terms of gallon

so we will convert 282.74 cubic inches to gallon

Known fact :

231 cubic inches = 1 gallon

so ,  1 cubic inches = 1/231  gallon

and 282.74 cubic inches = (1/231)*(282.74)  gallon

Hence, Volume in gallons = 1.22 gallon

 



7 0
4 years ago
What is the solution of the equation below?<br> x² - 4= - 5
madam [21]

Answer:

Not possible to work out

Step-by-step explanation:

NO Explanation can be explained as this question cannot be solved

8 0
3 years ago
Which one of these formulas describes the following sequence?<br><br> 1,5,12,22,35
kati45 [8]

We can find a formula for nth term of the given sequence as follows:

1, 5, 12, 22, 35

The 1st differences between terms:

4, 7, 10, 13

The 2nd differences :

3, 3, 3

Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: a n^2 + b n + c, where c is a constant. The coefficients a, b, and the constant c can be found.

We can form the following 3 equations with 3 unknowns a, b, c:

1 = a\cdot1^2 + b\cdot1 + c\\5 = \cdot2^2 + b\cdot2 + c\\12 = a\cdot3^2 + b\cdot3 + c

Solving for a, b, c, we get:

a = 3/2, b = -1/2, c = 0

Therefore, the nth term of the given sequence is:

\boxed{ a_n = \dfrac{3}{2}n^2- \dfrac{1}{2} n}

7 0
3 years ago
  A polygon that has all sides the same measure and all angles the same measure is called what?        A. Convex polygon   B. Co
Schach [20]
<span>D. Regular polygon.

</span>A polygon that has all sides the same measure and all angles the same measure is called Regular polygon.

Hoped I helped!
8 0
4 years ago
I have litre of bottle of cola i drink 650 ml how much is left
TiliK225 [7]

There are 1000 ml in one liter if you drank 650 ml then:

1000 - 650 = 350

350 ml are left

:)))

7 0
3 years ago
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