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Naya [18.7K]
2 years ago
15

The ratio of the measure of the angels of a triangle is 6:10:2 find the measure of the smallest angle

Mathematics
1 answer:
erik [133]2 years ago
5 0

Answer:

20°

Step-by-step explanation:

6x+10x+2x=180 (Triangles have three angles that add up to 180)

18x=180 (Combine like terms)

x=10 (Dividing by 18 to find x)

2(10)=20 (Looking for smallest angle which is 2)

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The test to detect the presence of a liver disorder is 98% accurate for a person who has the disease and 97% accurate for a pers
tester [92]
The probability tests to detect a liver disorder:
P (presence)= 0.98 (true)  0.02 (false)
P (absence)= 0.97 (true)  0.03 (false)

P(have disorder from the population)=0.035
P(do not have disorder from the population)= 0.965

To test positive:
P[have disorder and true from P(presence)] + P[do not have disorder and false from P(absence)]

=0.035*0.98+0.965*0.03= 0.06325

The answer is<span> 0.06325 </span>
7 0
4 years ago
Box of 24 chocolate contains 6 cream-filled. What is the probability of randomly selecting a cream filled
kifflom [539]

The probability of randomly selecting a cream filled

Chocolate is 1/4

  • Probability is the likelihood of an event will occur
  • Probability of an event is find out by divide the number of favorable outcomes by the total number of possible outcomes.
  • The simplest example is flipping of a coin.
  • There are only two possible outcomes when you flip a coin. It wiil be either heads or tails.
  • Total probability is always lie between 0 and 1

Let E be the event of selecting cream filled chocolate.

Number of favourable outcome = 6

Total number of possible outcome = 24

Probability if selecting a cream filled chocolate = 6/24

= 1 / 4

Hence, the probability of randomly selecting a cream filled chocolate is 1/4

Learn more about probability here:

brainly.com/question/24756209

#SPJ10

5 0
2 years ago
PLS HELP DUE TODAY
Gekata [30.6K]

Here we go !!

Since it's a regular pentagon, all it's sides are equal so let's solve for x

\hookrightarrow \: 3(x - 1)  = 5x - 6

\hookrightarrow \: 3x - 3 = 5x - 6

\hookrightarrow \:  3x - 5x =  - 6 + 3

\hookrightarrow \:  - 2x =  - 3

\hookrightarrow \: x =  \dfrac{ - 3}{ - 2}

\boxed{\boxed{x =  \dfrac{3}{2} }}

now let's find the measure of each side, i.e

\hookrightarrow \: 5x - 6

\hookrightarrow \: (5 \times  \dfrac{3}{2})  - 6

\hookrightarrow \:  \dfrac{15}{2}   - 6

\hookrightarrow \: 7.5 - 6

\mathrm{\hookrightarrow \: 1.5 \: units}

perimeter = 5 × side length ( for a regular pentagon )

\hookrightarrow \: 1.5 \times 5

\boxed{ \boxed{ \:  \:  \:  \:  \:  \:  \:  \: 7.5 \:  \:  units \:  \:  \:  \:  \:    \:  \:  }}

6 0
3 years ago
What basic trigonometric identity would you use to verify that sin^2x +cos^2x/cos x = sec x
gogolik [260]

<u>Answer:</u>

The basic identity used is \bold{\sin ^{2} x+\cos ^{2} x=1}.

<u>Solution: </u>

In this problem some of the basic trigonometric identities are used to prove the given expression.

Let’s first take the LHS:

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}

Step one:

The sum of squares of Sine and Cosine is 1 which is:

\sin ^{2} x+\cos ^{2} x=1

On substituting the above identity in the given expression, we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\frac{1}{\cos x} \rightarrow(1)

Step two:

The reciprocal of cosine is secant which is:

\cos x=\frac{1}{\sec x}

On substituting the above identity in equation (1), we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\sec x

Thus, RHS is obtained.

Using the identity \sin ^{2} x+\cos ^{2} x=1, the given expression is verified.

6 0
3 years ago
On Tuesday Lily spent 1/4 hour working on her science fair project.been work three times is mom on his science fair project is L
scZoUnD [109]
45 minutes because 1/4 of an hour is 15 min so 15+15+15=45
7 0
4 years ago
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