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Kisachek [45]
3 years ago
9

Find the total area the regular pyramid. T. A. =

Mathematics
2 answers:
drek231 [11]3 years ago
8 0

Answer:

T.A = 16\sqrt{3}

lorasvet [3.4K]3 years ago
5 0

Answer:

T.A. = 16√3 units²

Step-by-step explanation:

∵ The total area = the area of the four faces

∵ The four faces are equilateral triangles with side length 4

∵ Area of the equilateral Δ = 1/4 s² √3

∴ T.A. = 4 × 1/4 × 4² × √3 = 16√3 units²

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What is the inverse of y=^x3
Rashid [163]

Answer:

Inverse of y=x^3 is f^-1(x) = ∛x

Step-by-step explanation:

We need to find the inverse of y=x^3

Step 1:

Interchange the variables:

x= y^3

Step 2: Now solve to find the value of y

=> y^3 = x

taking cube root on both sides of the equation

∛y^3 = ∛x

y=∛x

Step 3: Replace y with f^-1(x)

f^-1(x) = ∛x

So inverse of y=x^3 is f^-1(x) = ∛x

4 0
2 years ago
find three consecutive integers. such that 4 times of first integer is 18 more than the sum of the second and third integer
Juliette [100K]

Three consecutive numbers are x, x+1 and x+2.

Four times the first integer is 4x

The sum of the second and third is (x+1)+(x+2)=2x+3.

So, we have

4x = 2x+3+18\iff 4x=2x+21

Subtract 2x from both sides:

2x=21

Divide both sides by 2:

x=10.5

So, you can't have three consecutive integers such that four times the first is 18 more than the sum of the other two: the three numbers would be 10.5, 11.5, 12.5.

In fact, you have

4\cdot 10.5 = 42

and

11.5+12.5+18 = 24+18=42

8 0
2 years ago
Find the magnitude & directionof the vector JK given point j(1,0) & k(-2,3)
julia-pushkina [17]
The distance between two point:
L=sqrt[(1-(-2))^2+(0-3)^2]=sqrt(18)=3sqrt(2) - <span>magnitude
</span>About <span>direction. Angle is 45</span>°, both point are on the line y=-x+1

7 0
3 years ago
Given the equation Square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution.
Kisachek [45]
Do recall that squaring and the *radical sign* cancel each other out... like so:(\sqrt{a})^{2}= a

When you put it that way, it isn't enough :P
(\sqrt{a})^{2}= a
(\sqrt{8x+1})^{2}=?

so you start with
(\sqrt{8x+1})^{2}= (5)^{2}
8x+1=25 <-- subtract 1 to both sides
8x=24 <- divide 8 to both sides
x= 3

To find out if it's an extraneous solution ask yourself: It mustn't result in a radical that I like to call... 'illegal'. Plug it into the radicand 8x+1 and make sure you get something that is not a negative number.... so, DO you get a negative number when you plug in x = 3 into the radicand?

(extraneous solution is a invalid solution)

x=3 not extraneous


6 0
2 years ago
Read 2 more answers
What is the solution to the equation |x − 4| = 17?
andrey2020 [161]

~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13

8 0
1 year ago
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