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2 years ago

7. In the figure below, lines p and q are parallel. The measure of 23 = 126°.

Mathematics

1 answer:

damaskus [11]2 years ago

8 0

Answer:

You just subtract 126 degrees from 180 degrees = 34 degrees for all angles

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Each vertical cross-section of the triangular prism shown below is an isosceles triangle.

vova2212 [387]

Answer:

Height is 3

Step-by-step explanation:

4.24 x 4.24 x 6

Right triangle base = a + b + c

a^2 + 3^2 = 4.24^2

= a^2 + 9 = 17.98

We cross out b to subtract.

a^2 = 17.98 - 9

a^2 = 8.98

We then square √a^2 = √8.98

a = 2.996

We round up a = 3

We have found the height is 3

5 0

2 years ago

The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time

Montano1993 [528]

The maximum occurs when the derivative of the function is equal to zero.
$P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3} \\ t=4.76702$
Then evaluate the function for that time to find the maximum population.
$P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201$
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.

7 0

2 years ago

∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?

never [62]

Answer: The answer is (D) Reflection across the line y = -x.

Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.

(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.

(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.

(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.

(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.

Thus, the correct option is (D).

6 0

2 years ago

Read 2 more answers

Jonathan borrowed $475 at a simple annual interest rate of 2%. How many years will it take him to repay the loan if he wants to

vovikov84 [41]

Firstly you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.

475 * 0.02 = 9.50

Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.

The answer would be 4 years.

Hope this helps.

3 0

1 year ago

Read 2 more answers

Viruses and viral videos portfolio help

alexdok [17]

Care to elaborate, what I can say right now is just that a virus is a malicious program that invades your computer and multiplies itself across several programs and folders. a viral video is only similar because it becomes really popular across the internet and "spreads" throughout the internet by fame. hope that help... oh and id say this is more of a computers question.

6 0

2 years ago