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Arada [10]
3 years ago
15

Find the slant height of this square pyramid.

Mathematics
2 answers:
Leno4ka [110]3 years ago
7 0

Answer:

3\sqrt{3}

Step-by-step explanation:

On the attached diagram, the slant height is denoted as s. In your case, the height s is the height of the equilateral  triangle with side 6.

The height of the equilateral triangle with side a can be calculated as

s=\dfrac{a\sqrt{3}}{2}.

Thus,

s=\dfrac{6\sqrt{3}}{2}=3\sqrt{3}.

Serga [27]3 years ago
3 0

Answer:

<h2>3√3 in</h2>

Step-by-step explanation:

The lateral side is the equilateral triangle.

The formula of a height of an equilateral triangle with the sides <em>a</em>

h=\dfrac{a\sqrt3}{2}

We have <em>a = 6 in</em>.

Substitute:

h=\dfrac{6\sqrt3}{2}=3\sqrt3

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Which of the following best describes how the y values are changing over each interval?
ziro4ka [17]

Answer:

y=ax+b

a=-0.6020457867

b=-2.256697516   <------- There is your value for b, which is the answer to the problem.

You can use these values for a and b to generate an equation in slope-intercept form, which you can then enter under Y= and view the graph.

Step-by-step explanation:

6 0
2 years ago
D is the midpoint of RJ⎯⎯⎯⎯. R has coordinates (−4,7), and D has coordinates (2,−1). Identify the coordinates of J.
Aleksandr [31]

Answer:

(8,-9)

Step-by-step explanation:

If the x-coordinate of R is 6 units away from D's x-coordinate, then so will J's x-coordinate. If the y-coordinate of R is 8 units away from D's y-coordinate, then so will J's y-coordinate.

Side note/Extra information:

The line would be y=\frac{-4}{3} x+\frac{5}{3}

3 0
2 years ago
Factorise x² - x with explanation please?​
Assoli18 [71]

Answer:

x(x + 1)

Step-by-step explanation: This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1)

3 0
2 years ago
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale
yanalaym [24]
GIVEN:
<span>Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.

Salesman A: 1300 </span>≤ 65S
Salesman B: P = 40S + 300
Salesman C: P = 900

Salesman A can only have 20 sales. 1,300/65 = 20. It should not go beyond that because it will go beyond the limit of 1,300 per week.

Salesman B will earn 1,100 for 20 sales. P = 40(20) + 300 = 800 + 300 = 1,100.

Salesman C will earn 900 regardless if he had 0 or 20 sales for the week.

You can do your own graph using my equations.

3 0
2 years ago
The sum of the first four terms of a geometric series is 203, and the common ratio is 0.4. Find the first term
tatuchka [14]

Answer:

The first term of the series is 125.

Step-by-step explanation:

The sum of the first four terms of a geometric series can be described by the following equation:

S=x_{1} +x_{1}r+x_{1}r^{2} +x_{1}r^{3}

Where x1 is the first term and r is the common ratio. Replacing the given values into the equation to solve for x1 yields:

203=x_{1} +x_{1}*0.4+x_{1}*(0.4)^{2} +x_{1}*(0.4)^{3}\\203 = (1+0.4+0.16+0.064)*x_{1}\\x_{1} = \frac{203}{1.624} \\x_{1} = 125

The first term of the series is 125.

8 0
3 years ago
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