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2 years ago

The Diagram shows the net of a square pyramid and its dimensions

Mathematics

1 answer:

Serjik [45]2 years ago

3 0

<u>Answer:</u>

<u>Explanation:</u>

SA = the area of one side of the pyramid times 4 + the area of the base of the pyramid

Area of a triangle = (height × base)/2

Area of a sqaure = lenght²

given:

h = 4 ft | b = 6 ft | l = 6 ft

SA = 4(h×b×1/2) + l²

SA = 4(4×6×1/2) + 6²

SA = 4×12 + 36

SA = 48 + 36

SA = 84 ft²

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Find the length of AB?

vampirchik [111]

Given:

The figure of a right triangle.

To find:

The length of AB.

Solution:

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

Using this trigonometric ratio for the given triangle, we get

$\cos A=\dfrac{AB}{AC}$

$\cos (60^\circ)=\dfrac{AB}{10}$

$\dfrac{1}{2}=\dfrac{AB}{10}$

$\dfrac{1}{2}\times 10=AB$

$5=AB$

Therefore, the length of AB is 5 units.

7 0

3 years ago

Anyone good with algebra 2??

sweet [91]

A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.

Let's look at your function.

$f(x) = \dfrac{x^2 - 16}{6x - 24}$

$x^2 - 16$ is in the numerator. It is defined for every value of x. There is no problem there.

$6x - 24$ is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.

We set it equal to zero and solve the equation for x.

$6x - 24 = 0$

$6x = 24$

$x = 4$

For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).

The answer is:

$x \ne 4$

6 0

2 years ago

List the perfect squares between 100 and 500 that are even numbers.

NISA [10]

144 196 256 324 400 484

3 0

2 years ago

Read 2 more answers

Which ordered pair is the best estimate for the solution of the system of equations

Colt1911 [192]

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

$y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)$

Equate equations (1) and (2)

$-\frac{1}{2}x + 4=\frac{1}{2}x -3$

Solve for x in the equation above

$-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7$

Substitute x = 7 into equation (1)

$y=-\frac{1}{2}x + 4\\\\y=-\frac{1}{2}(7) + 4\\\\y=\frac{1}{2}$

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904

5 0

2 years ago

Population lottery numbers: 56, 42, 19, 8, 24, 13 find the total number of samples of size 4 that can be drawn from this populat

statuscvo [17]

Answer:

The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.

Step-by-step explanation:

Total number of lottery tickets = 6

Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are = $\left[\begin{array}{ccc}6\\4\end{array}\right]$ = 15.

Now the population mean is given by $\frac{1}{n}$ × ∑ x , where n is the number of lottery tickets and ∑ x is the sum of the lottery numbers.

Summation of the lottery ticket numbers is 162

Thus the population mean is given by $\frac{162}{6}$ = 27.

8 0

3 years ago

The Diagram shows the net of a square pyramid and its dimensions ​

The Diagram shows the net of a square pyramid and its dimensions