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vichka [17]
3 years ago
11

What is the surface area of a square pyramid that has an 8 cm base length and triangular faces that are 14 cm tall? square centi

meters
Mathematics
2 answers:
tatiyna3 years ago
7 0
It's around 296.96 cm^2



good luck
Vedmedyk [2.9K]3 years ago
5 0
Surface Area (S.A.) is the area of all of the faces.
The base is square so its area is: side² = 8 cm x 8 cm = 64 cm²
The faces are triangles so the area of ONE face is: (1/2) x base x height =
(1/2)(8 cm)(14 cm) = 56 cm²

The sum of all of the faces are 64 cm² + 4(56 cm²) = 64 + 224 = 288 cm²

Answer: the surface area of the square pyramid is 288 cm²
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I need help please.
Ivan

1. It is given that f(x) is 16 times the square root of x.

Putting that in mathematical terms we have,

f(x) = 16 * \sqrt{x}

also, y = f(x)

So, we have the function

y= 16 \sqrt{x}

4. We need to solve the inequality equation : 4x + 2y ≤ 6

Let us take the equation,

4x+2y ≤ 6

2y ≤ 6-4x

y ≤ \frac{6-4x}{2}

y ≤ 3-2x

So, any point (x,y) lies on the given inequality region, where y≤ 3-2x

5. Solving system of equations using addition method

Given:

-5x-y =38          ------> a

-6x-3y =60       -------> b

Divide the equation b by no. 3

(-6x-3y)/3 = 60/3

-2x-y = 20      -------> c

Subtracting equation c from a we have,

-5x-y - (-2x-y) = 38 - 20

-5x-y+2x+y = 18

-3x = 18

x = -6

Now, substituting the value of x in equation a, we get

-5(-6) - y =38

30-y =38

y= 30-38 = -8

y=-8

∴ x = -6 and y = -8

6. Finding composition of functions

Given : f(x) =15x + 7 ; g(x) = x² - 5x

To find : (f+g)(x)

(f+g) (x) = f(g(x))

So, replace the value of x in f(x) by g(x), where g(x)= x² - 5x

(f+g)(x) = 15(x²-5x) +7 =15x²-75x+7

∴ (f + g)(x) = 15x²-75x+7

7. System of 3 equations must be solved to find the solution

-8x-8y-5z=-6

7x-8y-9z =17

9x+2y+6z =-1

Solving by substitution method.

Isolate x from first equation :

x= (-6+8y+5z)/(-8)

Substitute this value of x in 2nd and 3rd equations.

7 (- \frac{-6+8y+5z}{8})-8y -9z = 17

9(- \frac{-6+8y+5z}{8}) + 2y + 6z = -1

Now, isolating y from the 2nd equation rewritten above, we have

y= - \frac{107 z + 94}{120}

Now substituting this value of y in the 3rd equation rewritten above, we have

9(- \frac{-6+8(-\frac{107 z + 94}{120})+5z}{8}) + 2(-\frac{107 z + 94}{120}) + 6z = -1

Isolating z from above equation, we have

z = -2

Substitute z= -2 in the equation of y, we have

y= - \frac{107 (-2) + 94}{120} = 1

y = 1

Substituting the value of y and z, in the equation of x, we have

x= (-6+8(1)+5(-2))/(-8) = 1

x = 1

∴ x=1 ; y = 1 ; z = -2

8. 5x ≤ 7

Solving the above equation, we have

x ≤ 7/5

Please see attachment for the graph.

9. The given function is : g(y) = \sqrt{y} -6

The domain is the set of values of y for which there can be a value of g(y).

Here g(y) can be real only if y is greater than or equal to 0.

∴ The domain of the given function is [0,∞) .

10. Given : y is a function of x.

Definition of function : A function is a relation that associates each element in the domain to one element of another set, the co-domain of the function.

∴ For each element x, in the domain, there is only one value of y in the range.


4 0
3 years ago
A number is 6 less than its square. find all such numbers?
cestrela7 [59]
Hello There!

2² - 6 = -2
3² - 6 = 3
4² - 6 = 10

Etc....the list goes on

Hope This Helps You!
Good Luck :) 

- Hannah ❤
3 0
3 years ago
Read 2 more answers
What is the solution to the equation -4 (2x + 3) = 2x + 6 - (8x + 2)
jeka94

Answer:

x= -8 i believe

Step-by-step explanation:

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2 years ago
micheal brought 12 used books at th book sale. he paid $42.60 for the books. if each book cost the same price, how much did one
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Answer:

Each book cost $3.55

Step-by-step explanation:

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2 years ago
Can someone make sure that I’m right
WARRIOR [948]

Answer:

A

Step-by-step explanation: You are correct!

5 0
2 years ago
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