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MariettaO [177]
3 years ago
12

If the measure of angle A is 40 degrees and the length of side b is 15 inches, which can be the length of side a if it is possib

le to form two triangles?
Mathematics
1 answer:
Julli [10]3 years ago
8 0
This is the concept of trigonometry, to get the possible length of side a we use the sine rule which states that:
a/sin A=b/sin B=c/sin B
where;
a,b and c are the sides
A,B and C are the angles
thus the value of A could be as follows;
assuming the triangle is an isosceles triangle, the base angles will be:
(180-40)/2=70
thus;
15/sin 70=a/sin 40
a=(15sin40)/sin70
a=10.26 inches
thus the possible size of a=10.26 inches
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What what is the mean of the cars
tatuchka [14]
Mean is the average. to find mean, you add all the numbers and divide it by how many numbers there are.

68 + 75 + 85 + 80 + 75 + 82 = 465

There are 6 numbers. That means you have to divide 465 by 6 to get the mean.

Divide:

465 / 6 = 77.5

The answer is D. 77.5

Hope this helped☺☺

8 0
3 years ago
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Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow
HACTEHA [7]

Answer:

C(n)=14n+2.50

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

<em>Find out the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

m=\frac{C2-C1}{n2-n1}

substitute the values

m=\frac{30.50-16.50}{2-1}

m=14

<em>Find the equation of the line in slope intercept form</em>

C=m(n)+b

we have

m=14

point(1,16.50)

substitute

16.50=14(1)+b

b=16.50-14

1b=2.50

substitute

C(n)=14n+2.50

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

5 0
3 years ago
Order the rational numbers below from greatest to least. -3/4 , .8, 1, -5.3 , 9. I'm not that smart so imma try to get this answ
Kitty [74]
It’s -5.3 then -3/4 then 1 then .8 and finally 9
6 0
3 years ago
Read 2 more answers
#6 I need help with that.
Alisiya [41]

Answer:

Answer is x= 15

Step-by-step explanation:

(3x+18)+(8x-3)=180

11x+15=180

11x=165

x=15

6 0
3 years ago
Read 2 more answers
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is
marysya [2.9K]

Answer:

(a) 0.14%

(b) 2.28%

(c) 48%

(d) 68%

(e) 34%

(f) 50%

Step-by-step explanation:

Let <em>X</em> be a random variable representing the prices paid for a particular model of HD television.

It is provided that <em>X</em> follows a normal distribution with mean, <em>μ</em> = $1600 and standard deviation, <em>σ</em> = $100.

(a)

Compute the probability of buyers who paid more than $1900 as follows:

P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})

                   =P(Z>3)\\=1-P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.

(b)

Compute the probability of buyers who paid less than $1400 as follows:

P(X

                   =P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.

(c)

Compute the probability of buyers who paid between $1400 and $1600 as follows:

P(1400

                              =P(-2

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.

(d)

Compute the probability of buyers who paid between $1500 and $1700 as follows:

P(1500

                              =P(-1

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.

(e)

Compute the probability of buyers who paid between $1600 and $1700 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.

(f)

Compute the probability of buyers who paid between $1600 and $1900 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.

8 0
3 years ago
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