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Ainat [17]
1 year ago
15

A diagram shows a 5 cm* 5 cm* 5 cm cube.Calculate the length of the diagonal AB. Give your answer correct to 1 decimal place

Mathematics
1 answer:
Semmy [17]1 year ago
8 0

The length of the diagonal AB of the given square is 8.660

Given that a diagram of a cube having dimensions 5×5×5 and asked to find out the length of diagonal AB(which is a body diagonal of the cube).

To calculate the body diagonal 1st we need to calculate the face diagonal via the Pythagorean theorem

Let's assume the length of the face diagonal is x

By Pythagorean theorem

x^{2} =5^{2} + 5^{2}

x^{2} =50

x=5\sqrt{2}

Therefore, the length of the face diagonal is 5\sqrt{2}

Let's assume the body diagonal is y

By Pythagorean theorem

y^{2} =5^{2} +(5\sqrt{2} )^{2}

y=\sqrt{125}

y=5\sqrt{3}=8.660

Therefore, The length of the diagonal AB of the given square is 8.660

Learn more about diagonal here:

brainly.com/question/12274248                              

#SPJ9  

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write a quadratic function in vertex form whose graph has the vertex (1,0) and passes through point (2,-17)
kobusy [5.1K]

Answer:

\displaystyle f(x) = -17(x-1)^2

Step-by-step explanation:

We want to write a quadratic function in vertex form whose vertex is (1, 0) and passes through the point (2, -17).

Recall that vertex form is given by:

\displaystyle f(x) = a(x-h)^2 + k

Where (<em>h</em>, <em>k</em>) is the vertex and <em>a</em> is the leading coefficient.

Since our vertex is at (1, 0), <em>h</em> = 1 and <em>k</em> = 0:

\displaystyle f(x) = a(x-1)^2

It passes through the point (2, -17). Hence, when <em>x</em> = 2, <em>y</em> = -17:

\displaystyle (-17) = a((2)-1)^2

Solve for <em>a: </em>

<em />\displaystyle a = -17<em />

<em />

In conclusion, our quadratic function in vertex form is:

\displaystyle f(x) = -17(x-1)^2

7 0
3 years ago
Homeroom Data of Tickets Sold:
cricket20 [7]

1. the mean is 16

2. the mean is 22.5

the formula that can be used to calculate the mean is

= sum of terms/number of terms

for the first question the mean can be calculated as follows

sum of terms= 20+15+19+16+10

                             = 80

number of terms= 5

mean= 80/5

= 16

for the second question the mean can be calculated as follows

sum of terms= 19+23+11+30+27+27+22+26+16+24

                      = 225

number of terms= 10

mean= 225/10

= 22.5

Hence the mean for the first expression is 16 and the mean for the second expression is 22.5

Please see the link below for more information

brainly.com/question/26159926?referrer=searchResults

8 0
3 years ago
Calculate the volume of the box<br><br> 6.5 inches by 6 inches by 2 inches
ElenaW [278]
The Volume of the box is 78 inches.
How I got my answer: 
The formula for Volume is length x width x height, so 6.5 x 6 x 2 equals 78.
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4 years ago
Kevin bought a 5 kilogram can of peanuts for 4.50. what is the unit price.​
oksano4ka [1.4K]

Answer:

$0.90/kg

Step-by-step explanation:

4.50/5=0.90

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3 years ago
An electrician bought 80 feet of electrical wire and used 65 feet of it. What percent of the wire went unused? A. 4.33% , B. 8.1
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C, 15 %. 
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