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Tom [10]
3 years ago
9

Calculate the size of the missing angles using the following information:

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0
Keeping in mind that an isosceles triangle, has two equal sides, and those twin sides stemming out of the vertex, make up two twin angles at the base, since the sum of all interior angles in a triangle is 180°, thus 180° - 66° is 114°, and each angle at the base takes half of that, check the picture below.

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A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema
dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

P_t=P_oe^{-rt}\\\\

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0
3 years ago
What is the value of X? (giving brainliest and thanks to all!)
Jlenok [28]

Answer:

I believe it is A

Step-by-step explanation:

I dont quite remember the formula, but I belive that 30 would be correct because if im remembering correctly the formulas are "a + b = c" and "c - (a/b) = (a/b)

a/b = a or b, depending what they give you

4 0
2 years ago
Read 2 more answers
Write the expression 3 +2 x 20
prohojiy [21]
3+2 x20
3+2=5
5x20=
100
Hope this helped.
3 0
2 years ago
Read 2 more answers
Find the surface area of the tool box. Round your answer to the nearest tenth and explain your answer. ​Pls I NEED THE ANSWER NO
Andrej [43]

Answer:

807.8 in^2

Step-by-step explanation:

The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:

The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...

(18 in)(35.6 in) = 640.8 in^2

The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...

(9.6 in)(8.7 in) = 83.52 in^2

Then the total area is the lateral area plus the area of the two ends:

640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2

7 0
2 years ago
Help me please. mad confused lol
SCORPION-xisa [38]

Answer:

P = 30 degrees, PQ = 6.93, PN = 8

Step-by-step explanation:

For the angle, just subtract the angles you already know from 180, so 180 - 90 - 60= P. P = 30 degrees.

For PQ, use tan60 = x/4, or 4tan(60), which equals 6.93.

For PN, use cos60 = 4/x, or 4/cos60, which equals 8.

Hopefully this helps- let me know if you have any questions!

7 0
2 years ago
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