How to find the slant height of a square pyramid?

QUESTION POSTED AT 26/03/2020 - 02:25 PM

Answered by admin AT 26/03/2020 - 02:25 PM

Pythagorean theorem using the center height of the pyramid and a half-length on the base.
Post your answer

Related questions

Given points A(4,5) and B(-4,11). Find the distance AB to the nearest tenth.

If A(x', y') & B(x",y") the the distance AB is given by the following formula:

AB =√[(x"-x')² + (y"-y')²]

Plug into the above with A(4,5) and B(-4,11).

AB =√[(-4-4)²+(11-5)²] =√(-8)²+(6)² = √(64) + (36) =√100 = 10

ANSWERED AT 28/03/2020 - 12:55 PM


QUESTION POSTED AT 28/03/2020 - 12:55 PM

One of the angles of a parallelogram is equal to 40°. Find the rest of the angles.

Is there some type of image for this?

ANSWERED AT 28/03/2020 - 12:55 PM


QUESTION POSTED AT 28/03/2020 - 12:55 PM

How can you use a scatter plot to find a trend line

It helps you determine the characteristics of the plot/graph. I am not sure so it is your choose.

ANSWERED AT 28/03/2020 - 12:54 PM


QUESTION POSTED AT 28/03/2020 - 12:54 PM

Find 3 solutions of the equation y=9×-4

Three solutions are: (2,14) (1,5) (3, 23)

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

I'm doing something in math, and I need to find out how many people live in one of these states, or both of them. 1 in past the other now, etc. The two states that I chose are Florida and Georgia. I have to do this on a popular site.

Http://worldpopulationreview.com/states/florida-population/
http://worldpopulationreview.com/states/georgia-population/

ANSWERED AT 28/03/2020 - 12:42 PM


QUESTION POSTED AT 28/03/2020 - 12:42 PM

Find the quotient........

Its a negative number dude

ANSWERED AT 28/03/2020 - 12:36 PM


QUESTION POSTED AT 28/03/2020 - 12:36 PM

What is the area of triangle DEF? Round to the nearest tenth of a square unit. 10.3 square units 18.0 square units 20.0 square units 20.6 square units

Since we are given 2 sides and 2 angles, we can use the Side Angle Side (SAS) method. The area of a triangle is given by the formula:
Area = absinC/2; where a and b are adjacent sides and C is the angle between a and b.

Area = 5*8*sin31°/2 = 10.3 square units.

ANSWERED AT 28/03/2020 - 12:34 PM


QUESTION POSTED AT 28/03/2020 - 12:34 PM

Quadrilateral ABCD is a parallelogram with AB = 3y – 6, BC = 5x – 8, CD = 2y + 4, and AD = 4x –1. Find x. A. 7 B. 14 C. 27 D. 28

Choice A. Work done below:
4x-1=5x-8 ( Set the opposite sides equal to each other).
4x-5x-1=-8 (Subtract 5x on both sides)
-x-1=-8 (Combine like terms)
-x=-8+1( Add 1 on both sides)
-x=-7 (Now since you have a negative sign on both sides you can cancel them)
x=7 ( Making that as your answer!!)

ANSWERED AT 28/03/2020 - 12:33 PM


QUESTION POSTED AT 28/03/2020 - 12:33 PM

Find the quotient......

401.45 is the answer

ANSWERED AT 28/03/2020 - 12:33 PM


QUESTION POSTED AT 28/03/2020 - 12:33 PM

Find the unknown angle measures

Obtuse(sorry I can't find the other one)

ANSWERED AT 28/03/2020 - 12:29 PM


QUESTION POSTED AT 28/03/2020 - 12:29 PM

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º. Scarlett's height is 1.65 meters, so the height of the dam is meters.

Answer:

Height of the dam is 45.45 meters.

Step-by-step explanation:

From the attached figure, AB is the height of dam NM is Scarlett's height. We have to find the height of the dam. NM = CB = 1.65 m

Using trigonometric equations as:

tan(26)=\dfrac{AC}{NC}

tan(26)=\dfrac{AC}{90}

AC=tan(26)\times 90

AC = 43.8 m

So, the height of the dam is AC + CB = 43.8 m + 1.65 m = 45.45 m

Hence, the height of the dam is 45.45 meter.

ANSWERED AT 28/03/2020 - 12:28 PM


QUESTION POSTED AT 28/03/2020 - 12:28 PM

HELP ASAP Given s(x) = 3x - 6 and t(x) = 6 - 3x. find the simplified formula and domain for v(x)=(s/t) and w(x)=(t/s)(x)

v(x)=(s/t)
= (3x - 6) / (-3x+6)
= [3(x-2)] / [-3(x-2)] --> 3 is factored out
= 1/-1 
---> common terms are cancelled out. 
= -1 ---> This is the simplified formula.

To find the domain, we equate the denominator to 0.
-3x+6 = 0
3x = 6
x = 2
Domain: all values except 2.

w(x)=(t/s)(x)
= (-3x+6)x / (3x-6)
= [-3x(x-2)] / [3(x-2)] --> 3 is factored out
= -x --> The common terms are cancelled out. This is the simplified formula.

Solving for domain:
3x-6 = 0
3x = 6
x = 2
Domain: all values except 2.

ANSWERED AT 28/03/2020 - 12:27 PM


QUESTION POSTED AT 28/03/2020 - 12:27 PM

Find tan theta if sec theta= 5/3

SecФ =5/3

1/cosФ =5/3 ==> cosФ=3/5 & we know sin²Ф+cos²Ф = 1

sin²Ф+9/25=1==>sin²Ф=1-9/25 = 16/25 & sinФ=4/5

tanФ=sinФ/cosФ = (4/5)/(3/5) = 4/5 x 5/3 = 4/3==> tanФ=5/3 = 1.667

ANSWERED AT 28/03/2020 - 12:26 PM


QUESTION POSTED AT 28/03/2020 - 12:26 PM

Triangle ABD is similar to triangle ACD. AB = 10, BC = 12, BE = 4, and CD = y. Find y.

There is a mistake in your writing
:The similar triangles should be ABE (& not ABD as you stated) & ACD

If so, we can write the following proportion:

AB/AC = BE/CD.
We know that AB =10, BE=4, AC= 10 + BC (BC =12, Given), so AC =22
Plug into the above: 10/22 =4/y===> y= (22 x 4)/10===> y =44/5 =8.8

ANSWERED AT 28/03/2020 - 12:25 PM


QUESTION POSTED AT 28/03/2020 - 12:25 PM

Find the range of the data. Scores: 90, 89, 87, 79, 89, 84, 80, 85, 85, 79 a.11 b.12 c.7 d.15

a.11 is your best answer

ANSWERED AT 28/03/2020 - 12:21 PM


QUESTION POSTED AT 28/03/2020 - 12:21 PM

Find the distance between the points (-7, 4) and (5, -4)

(-7,4)=11
(5,-4)=-10
I think that's the distance I'm not sure:)

ANSWERED AT 28/03/2020 - 12:20 PM


QUESTION POSTED AT 28/03/2020 - 12:20 PM

Please help with this homework question please!!! where does a hippos habitat take place? and where and what are a hippos natural resources? Find a way to combine these to questions into a thesis like statement.

There are two species of Hippos and they prefer different types of habitat. For the Common Hippo, they live mainly in the Eastern part of Africa around the Sahara. They are the more aggressive type of Hippo and the ones that are often known to be eating the crops that villagers have planted for their own needs.

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

A clerk in the sports department of a store is stacking tennis balls in the shape of a square pyramid. The top layer has 1 ball, the second layer has 4 balls, the third layer has 9 balls, and so on, as shown below. Which of the following represents the number of balls in the first 8 layers of the pyramid? A. a series that is arithmetic B. a series that is geometric C. a series that is neither arithmetic nor geometric D. a series cannot be used to represent this situation.

Answer:

It is a series that is neither arithmetic nor geometric

Step-by-step explanation:

We are given that The top layer has 1 ball, the second layer has 4 balls, the third layer has 9 balls, and so on,

The pattern is

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

n^2 is the pattern where n is the position in the series.

For arithmetic series Common difference: d=a_2-a_1=a_3-a_2

So,  d=4-1\neq 9-4

Thus it is not an arithmetic series .

For Geometric series there must be an common ratio : r = \frac{a_2}{a_1}=\frac{a_3}{a_2}

So, r = \frac{4}{1}\neq\frac{9}{4}

Thus it is not geometric series.

Thus Option C is correct.

It is a series that is neither arithmetic nor geometric

ANSWERED AT 28/03/2020 - 12:18 PM


QUESTION POSTED AT 28/03/2020 - 12:18 PM

The area of the paralleogram is 184 units squared

Give the full answer do you mean if it's right or

ANSWERED AT 28/03/2020 - 12:10 PM


QUESTION POSTED AT 28/03/2020 - 12:10 PM

The diameter of a round dinner plate is 10 inches. What's the area of the plate? A. 39.25 square inches B. 39.25 inches C. 78.5 square inches D. 314 square inches

A= pi times r*r so if you are using 3.14 as pi the answer is 78.5 because 5x5=25
25x3.14=78.5

ANSWERED AT 28/03/2020 - 12:08 PM


QUESTION POSTED AT 28/03/2020 - 12:08 PM

Find the volume of the toy bus pictured below whose sides are 4.5 cm, 6.8 cm, and 8.2 cm (to the nearest hundredth)?

Answer:

V=250.92 cm ^3

Step-by-step explanation:

Given:  A toy bus  whose sides are 4.5 cm, 6.8 cm, and 8.2 cm.

To find: The volume of the toy bus.

solution: It is given that a toy bus has sides 4.5 cm, 6.8 cm, and 8.2 cm, then the volume of the toy bus is given as:

V=l{\times}b{\times}h

Substituting the given values in the above formula, we get

V=4.5{\times}6.8{\times}8.2

V=30.6{\times}8.2

V=250.92 cm ^3

Therefore, the volume of the toy bus is 250.92 cm ^3.

ANSWERED AT 28/03/2020 - 12:08 PM


QUESTION POSTED AT 28/03/2020 - 12:08 PM

What is 5 squared. Please help. Math quiz and i am already failing. Rip

25. Squared is the number multiplied by itself. Use the  ^ symbol 

ANSWERED AT 28/03/2020 - 12:07 PM


QUESTION POSTED AT 28/03/2020 - 12:07 PM

Evaluate the following expression when x = 6 and y = 2: Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator. 2.25 5.5 17.25 27.5

(x^2 +y^3)/(2+x)
(6^2 +2^3)/(2+6)
(36+8)/(8)
(44)/(8)
5.5
Your answer is 5.5

ANSWERED AT 28/03/2020 - 12:06 PM


QUESTION POSTED AT 28/03/2020 - 12:06 PM

How do you solve 25-24/4-1 pemdas? I couldn't find anything online about how to do pemdas when you're in this scenario.

The answer is:  18 .
_________________________


25 - 24/4 -1 = 25 - (24/4) - 1 = 25 - 6 - 1 = 19 - 1 = 18 .


The answer is:  18 .
_________________________

ANSWERED AT 28/03/2020 - 12:03 PM


QUESTION POSTED AT 28/03/2020 - 12:03 PM

A rectangular pyramid has a base measuring 4 in. on each side and an altitude of 6 in. What is its volume? cubic inches

Answer:

V=512in^3

Step-by-step explanation:

A rectangular pyramid is a polyhedron whose surface is formed by a base that is a rectangle and triangular side faces that converge on a vertex called the apex. The volume of a rectangular pyramid is given by:

V=\frac{1}{3} *b^2*h

Where:

b=Area\hspace{3}of\hspace{3}the\hspace{3}base\\h=Pyramid\hspace{3}height

The problem tell us that on each side the base has a length of 4 in, therefore, the area of the base is:

b=4*4=16in

The problem also tell us that:

h=6in

So, replacing the previous data in the volume equation:

V=\frac{1}{3} *(16)^{2}*6=\frac{256*6}{3}  =\frac{1536}{3} =512in^3

ANSWERED AT 28/03/2020 - 12:03 PM


QUESTION POSTED AT 28/03/2020 - 12:03 PM

What is the surface area of a cereal box with length of 8 width of .75 and a height of 1.50

Hey i think it is 8 * .75 * 150 = 9

ANSWERED AT 28/03/2020 - 12:03 PM


QUESTION POSTED AT 28/03/2020 - 12:03 PM