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nasty-shy [4]
3 years ago
8

Using the technique in the model above, find the missing side in this 30°-60°-90° right triangle.

Mathematics
2 answers:
valina [46]3 years ago
8 0
Is it trigonometry?
In that case take 30 degree as our reference point, then the long side will be hypotenuse*cos 30 which is 10*1/2*sqrt(3)

You can always use the rule: front=hypotenuse*sin of the degree
 Side=hypotenuse*cos of the degree
Monica [59]3 years ago
7 0

Answer:

The side of long is, 5\sqrt{3} units

Step-by-step explanation:

This is the special right angle triangle 30^{\circ} -60^{\circ}-90^{\circ} as shown in the figure.

  • The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
  • The side opposite the 60° angle will be the longer side, because 60 degrees is the mid-sized degree angle in this triangle.
  • Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

the length of the hypotenuse is twice the length of the shorter side,

also,  the length of the longer side is \sqrt{3} times the length of the shorter leg.

Given: length of short(S) = 5 units , hypotenuse(H) = 10 units

To find length of long side(L)

Then,

Using above statement;

length of longer sides(L) = \sqrt{3} \times S

Substitute the values we get;

L = \sqrt{3} \times 5 = 5\sqrt{3} units

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Which pairs of angles are alternate exterior angles? select yes or no​
sasho [114]

A - No

B - No

C - Yes

D - Yes

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C and D are alternate exterior angles

8 0
3 years ago
There are 800 members in an astronomy club, and 320 of them are females. What percent of the members are males.
Liula [17]
ANSWER: 60% of the members are males

How?
-800 total
-320 females
800 - 320 = 480
480/800 = 0.6

Hope this Helps!
8 0
3 years ago
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What is 1/2 to the second power?
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It. Mean it 2 of 1\2 example 1\2 1\2
3 0
3 years ago
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Help i’m doing my exam
jolli1 [7]
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5 0
3 years ago
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The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is
alexgriva [62]
<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height

While the volume of half a sphere is:

V_{hs}=\frac{2}{3}\pi r^3

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

V_{s}=\frac{4}{3}\pi r^3

Then, the composite figure is:

V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)

The radius of the cylinder is the same of the radius of each half sphere. So:

r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}

7 0
3 years ago
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