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2 years ago

What is the slant height for the given pyramid to the nearest whole unit height

Mathematics

1 answer:

charle [14.2K]2 years ago

7 0

Answer:

Step-by-step explanation:

The blue section is a right triangle. Use the Pythagorean Theorem to find the hypotenuse.

base of right triangle = 6 cm

height of right triangle = 8 cm

hypotenuse = √(6²+8²) = √100 = 10 cm

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I need someone to help me do this, see attached documents for the questions

Brilliant_brown [7]

Answer:

<u><em>1.) 20.2</em></u>

Step-by-step explanation:

1.) You need to use the distance formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Find the distance of A to B first:

$(-2,2)(3,2)\\\\\sqrt{(3+2)^2+(2-2)^2}\\\\\sqrt{(5)^2+(0)^2}\\\\\sqrt{25} =5$

B to C:

$(3,2)(-1,-5)\\\\\sqrt{(-1-3)^2+(-5-2)^2}\\\\\sqrt{(-4)^2+(-7)^2}\\\\\sqrt{16+49}\\\\\sqrt{65} =8.06=8.1$

C to A:

$(-1,-5)(-2,2)\\\\\sqrt{(-2+1)^2+(2+5)^2}\\\\\sqrt{(-1)^2+(7)^2}\\\\\sqrt{1+49}\\\\\sqrt{50}=7.07=7.1$

Add distances to find the perimeter:

$5+8.1+7.1=20.2$

2.) Part A:

You need to use the mid-point formula:

$midpoint=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2} )$

$(3,2)(7,11)\\\\(\frac{3+7}{2},\frac{2+11}{2})\\\\(\frac{10}{2},\frac{13}{2})\\\\m=( 5,6.5)$

Part B:

1. Use the slope-intercept formula:

$y=mx+b$

M as the slope, b the y-intercept.

Find the slope of the two points A and B using the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Insert slope as m into equation.

Take point A as coordinates $(x,y)$ and insert into the equation. Solve for the intercept, b:

$(y)=m(x)+b$

Insert the value of b into the equation.

2. Use the mid-point coordinate. Take the slope.

If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:

$\frac{1}{2} =-\frac{2}{1}=-2\\$

Insert the new slope into the slope-intercept equation as m.

Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.

Insert the value of b.

4 0

3 years ago

What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?

BartSMP [9]

Answer:

y=-13x + 78 I'm not sure what's up with those answer choices though

7 0

3 years ago

Nolan has $20 in his bank account and can save $10 each week from doing chores. He wants to save more than $85 for a new video g

ser-zykov [4K]

Answer:

He will have to save up for 7 weeks for the new video Game

Step-by-step explanation: Simple Math

7 0

2 years ago

Read 2 more answers

Use the table for 19-23. write each ratio in the form a/b and then as a decimal. Tell whether each decimal is a terminating or r

stellarik [79]

All you are basically doing is making ratios.
Basketball to football would be 5 to 11 or 5:11 or 5/11.
What you do is in the order you said it (basketball to football) you find that info and make it a ratio. A ratio must be simplified and can be written 3 ways, as shown above.

Hockey to lacrosse would be 6 to 10 and simplified would be 3 to 5.

Try doing 3 and 4 and 5 on your own to help you understand it more:) if you have any questions tell me.

4 0

2 years ago

Read 2 more answers

A bag contains six red and ten black marbles if you pick a marble from the bag what is the probability that the marble will be b

dimulka [17.4K]

Answer:

125

Step-by-step explanation:

The total number of marbles is 6+10 = 16

P (black) = black / total

= 10/16 = 5/8

With 200 draws, take the probability of P(black) times 200 since the marble is returned each time

200 * (5/8) = 125

We would expect to get 125 black marbles

6 0

3 years ago