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2 years ago

9

Please help thank you so much and show all work

2 answers:

VladimirAG [237]2 years ago

8 0

It is a right angle triangle ..

$
a^{2} + b^{2} = c^{2}$
$5^{2} + x^{2} = 10^{2}$
25 + $x^{2}$ = 100
$x^{2}$ = 100 - 25
$x^{2}$ = 75
x = 8.67

ELEN [110]2 years ago

7 0

This is a 30-60-90 right triangle with the shorter leg having a length of 5.

To find the length of x, we must find the length of the longer leg of the right triangle. To do that, we must multiply the shorter leg by the square root of 3.

$x=5* \sqrt{3} =5 \sqrt{3}$

This is the simplest radical form. Hope this helps! :)

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Here is a tunnel for a toy train.

jonny [76]

The <em>total</em> area of all six faces of the tunnel is $614.197\pi$ square centimeters.

<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid ( $A$ ) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

$A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)$

$A = 614.197\pi\,cm^{2}$

The <em>total</em> area of all six faces of the tunnel is $614.197\pi$ square centimeters. $\blacksquare$

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

5 0

2 years ago

one gym chargers $40 per month and $3 per exercise class. another gym charges $20 per month and $8 per exercise class. after how

S_A_V [24]

4 classes, $52
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3 years ago

Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

What is the best measure of center for the following data set?

Rom4ik [11]

Answer:

b) median: there are 7 numbers listed; 20 is the middle number among them

range: subtract lowest from highest number 25-2=23

mean: add all the numbers together =129

mode: place numbers in order (smallest to greatest), then see which number appears the most 2, 18, 18, 20, 22, 24, 25=18

Step-by-step explanation:

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3 years ago

5.6803 kg has _ significant figure

Monica [59]

5 sig figs is the correct answer

5 0

3 years ago

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