Use what you know about triangles to classify this triangle.

Please help me! I am very confused

Sphinxa [80]

Answer:

1) 22.5 A

2) 112 B

3) 430 L

4) 576 P

5) 486 L

6) 624 S

Code is A B L P L S

Step-by-step explanation:

1) Area of a triangle = 1/2 * base * height = 1/2 *5*9 = 22.5

2) Area of a parallelogram = base x height = 14 x 8 = 112

3) Area of a rectangular prism = 2(length * width) + 2*(length + height) + 2 *(length *height)

= 2(15x7 + 15*5 + 7*5)

= 2(105 + 75 + 35)

= 2 * 215

= 430

4) Volume of a triangular prism = 1/2 * base * length * height

= 1/2 * 8 * 16 * 9

= 576

5) A cube has six surfaces. Each surface has an area of s x s where s is the length of each side. In this case, each side has area of 9x9 = 81. Total surface area = 6 x 81 = 486 and that is the paper required

6) The trailer is a rectangular prism so its volume = length x width x height = 13 6 x 8 = 624

Now you have to look at each value and see which letter it corresponds to. For example answer 1) is 22.5 which lies between 0-100 so it gets letter A, answer (2) is 112 which lies in the range 101-200 so it gets the letter B and so on

4 0

2 years ago

Researchers fed mice a specific amount of Dieldrin, a poisonous pesticide, and studied their nervous systems to find out why Die

Elodia [21]

Answer:

Step-by-step explanation:

Part A

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

6 0

3 years ago

What is the probability that in a class of 20 students, 2 of them will have the same birthday?

earnstyle [38]

There would be a 10% chance that they would have the same birthday

8 0

4 years ago

Allison claims that the (triangle)ABQ is similar to (triangle)RPQ, given that AB and PR are parallel. Which of Allison's claims

S_A_V [24]

I draw the two triangles, see the picture attached.

As you can see, angle 1 and 2 are vertically opposite angles because they are formed by the same two crossing lines and they face each other.

Angles ABQ and QPR, as well as angles BAQ and QRP, are alternate interior angles because they are formed by two parallel lines crossed by a transversal, and they are inside the two lines on opposite sides of the transversal.

Hence, Allison's correct claims are:
1 = 2 because they are vertically opposite angles.
BAQ = QRP because they are alternate interior angles.

Therefore Allison, in order to prove her claim, can use the AA similarity theorem: if two angles of a triangle are congruent to two angles of the other triangle, then the two triangles are similar.

3 0

3 years ago

Calculate the following expression. show steps 15/7 - 2/5

aalyn [17]

15/7 x 5 and 2/5 x 7
75/35 - 14/35 = 61/35

8 0

3 years ago

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