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3 years ago

What is the surface area of this triangular pyramid?

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

Step-by-step explanation:

The formula for the surface area of a pyramid is:

$SA=B+\frac{1}{2}l(number of base sides)(b)$

B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.

$A=\frac{1}{2}bh$

$A=.5*5*4.3$

A = 10.75

Now we can plug in 10.75 for B.

$SA=10.75+.5*5*3*5$

The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.

$SA=$

48.25 in^2

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If x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, which of the following is another zero of f(x)?a. x =

FromTheMoon [43]

Answer:

b) $x=-4$ is another zero of the polynomial

Step-by-step explanation:

Since you are given a set of options to choose from, a very simple way to find the zero of the polynomial is by simply plugging each value from the options and seeing which of them gives the answer 0.

$f(x) = 2x^3+x^2-25x+12\\$

Using all the options:

$a)\,f(-3) = 2(-3)^3+(-3)^2-25(-3)+12\\f(-3) = 42\\\\b)\,f(4) = 2(4)^3+(4)^2-25(4)+12\\f(4) = 56\\\\c)\,f(-4) = 2(-4)^3+(-4)^2-25(-4)+12\\f(-4) = 0\\\\d)\,f(12) = 2(12)^3+(12)^2-25(12)+12\\f(12) = 3312$

Now we know that at x = -4 the value of the polynomial f(x) is 0. hence

b) $x=-4$ is another zero of the polynomial

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2 years ago

How do I find the length of the sides of a right triangle?

RSB [31]

Answer:

A^2+B^2=C^2

Step-by-step explanation:

(A)^2+(B)^2+(A)+(B)+2Cos(a)=C^2

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2 years ago

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A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area? A parallelogram has a base of 3

dangina [55]

Answer:

for first parallelogram

Area of parallelogram = b*h= 3.5*2= 7square unit

for second parallelogram

Area of parallelogram = b*h = 1.8 square unit

or, 3*h = 1.8

h= o.6unit

For third parallelogram

Area of parallelogram = b*h = 20.4square unit

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Step-by-step explanation:

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3 years ago

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-9(m+3) +14=-49 please show work

yKpoI14uk [10]

Answer:

m=4

Step-by-step explanation:

−9(m+3)+14=−49

Step 1: Simplify both sides of the equation.

−9(m+3)+14=−49

(−9)(m)+(−9)(3)+14=−49(Distribute)

−9m+−27+14=−49

(−9m)+(−27+14)=−49(Combine Like Terms)

−9m+−13=−49

−9m−13=−49

Step 2: Add 13 to both sides.

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2 years ago

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Step-by-step explanation:

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