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3 years ago

Explain and Prove that the sides of the triangles below are a right triangle.

1 answer:

3 0

3.) 3, 4, 5
&
4.) 6, 8, 10
Those two are right triangles because when you add the squares of the first two it should give you the square root of the third number

a^2 + b^2 = c^2

So
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25

6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100

Therefore they are right triangles

But 1 & 2 aren’t right triangles because when you add the squares of the first two number, it doesn’t equal to the square root of the third number.

Hope this helps!!

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A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?

Readme [11.4K]

Answer:

$2\pi$

Step-by-step explanation:

first you take 60°/360°= 1/6 then you take 1/6 and multiple it by $2\pi$ and that equals $\frac{\pi }{3}$ finally take $\frac{\pi }{3}$ times the radius (6) and that should equal $2\pi$

PLATO USERS #platolivesmatters

6 0

3 years ago

Find the value of x in the triangle shown below.

otez555 [7]

Answer:

Thus, the value of x in the given triangle is 55°

Step-by-step explanation:

Given - Dimensions of triangle and angles

of triangle

Find - Value of x

Solution - The value of x in the given triangle is 55°.

As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.

Thus, the mathematical expression of all the angles of a given triangle will be -

x + x + 80 = 190

2x + 80 = 190

2x = 190 - 80

2x = 110

x = 110/2

x = 55°

3 0

1 year ago

Help ASAP Please

aleksklad [387]

The probability that a student uses the Internet, given that he or she is in eighth grade is 8/13 or 0.66

Step-by-step explanation:

From the table shown:

The students in the eighth grade = 13
The eighth grade students using internet = 8

P(student uses the Internet in eighth grade) = P(eighth grade students using internet) / P(total students in the eighth grade)

⇒ 8/13

⇒ 0.66

6 0

3 years ago

How to divide 33 photos into two groups so the ratio is 4 to 7

Nataliya [291]

33 photos in a 4x to 7x ratio

4x + 7x = 33
11x = 33
x = 3

33 photos can be put in a 4(3) to 7(3) ratio

which is a 12 to 21 ratio

so 12 photos on one side, and 21 on the other side to get the ratio of 4 to 7

Note:
a(b) = ab = a x b = a times b

3 0

2 years ago

What is 3% of [(-0.5) * (- :)] ?

expeople1 [14]

Solution for 0.5 is what percent of 3:

0.5:3*100 =

(0.5*100):3 =

50:3 = 16.666666666667

Now we have: 0.5 is what percent of 3 = 16.666666666667

Question: 0.5 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=3$100%=3.

Step 4: In the same vein, $x\%=0.5$x%=0.5.

Step 5: This gives us a pair of simple equations:

$100\%=3(1)$100%=3(1).

$x\%=0.5(2)$x%=0.5(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{3}{0.5}$
100%
x%=
3
0.5

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{0.5}{3}$
x%
100%=
0.5
3

$\Rightarrow x=16.666666666667\%$⇒x=16.666666666667%

Therefore, $0.5$0.5 is $16.666666666667\%$16.666666666667% of $3$3.

7 0

2 years ago

Read 2 more answers