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3 years ago

Can someone help me with problem please? It’s special right triangle: decimal answers (Round to the nearest tenth)

Mathematics

1 answer:

DochEvi [55]3 years ago

8 0

Answer:

h= 4.6, c=7.1

Step-by-step explanation:

First you need to know in a 30 60 90 triangle the sides ratios are x, 2x and x√3, and for 45 90 45 it is x, x and x√2

so <em>h</em> is 8/√3 and you rationalize the bottom so it becomes 8√3/3. when you solve this and round to nearest hundred it becomes 4.6. for the second one, it is 5√2 and when you solve this and round, it becomes 7.1

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Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

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

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0

3 years ago

PLS HELP WILL MARK BRAINLIEST

Anuta_ua [19.1K]

It’s 112:8 I’m pretty sure:)

6 0

3 years ago

What is the probability of not getting a blue<br> on this spinner? Be sure to reduce.<br> [?]

exis [7]

Answer:

5/8

Step-by-step explanation:

The probability of not getting blue can be found by dividing the number of sections that are not blue by the total number of sections.

P(not blue)= not blue / total

There are a total of 8 sections. 3 are blue, which leaves 5 that are not blue (1 yellow, 2 red and 2 green).

not blue= 5

total= 8

P ( not blue)= 5/8

This fraction cannot be reduced, therefore our answer is 5/8

6 0

3 years ago

Given the Venn diagram below, if a student is randomly selected, what is the probability that he or she is attending both colleg

guajiro [1.7K]

Add up all the values shown:
64+28+52+56 = 200

This result indicates that there are 200 students total.

Of these 200 total people, there are 28 who are attending both colleges. This is the value shown in the overlapping region of the two circles.

Divide the two values (28 and 200) to get...
28/200 = 0.14 = 14%

The probability as a decimal value is 0.14 which is saying there's a 14% chance of picking someone who goes to both colleges.

3 0

3 years ago

Read 2 more answers

Which function has an inverse that is a function?

statuscvo [17]

Answer:

i aint never seen two pretty bestfriends

Step-by-step explanation:

3 0

3 years ago