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dmitriy555 [2]
2 years ago
6

A photocopy of a polygon was reduced to 70% of its original size. Then, the copy was again reduced to 70% of its size.

Mathematics
1 answer:
aniked [119]2 years ago
8 0

Step-by-step explanation:

Step 1 of 4

a) Yes, since the photo copy, is same which is reduced by 80% it remains similar. Because the angles stay the same and the ratios responding sides are proportional.

The following is the figure:



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The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
3 years ago
PLEASE HELP QUICK i dont need work to be shown
andre [41]

Answer:

Step-by-step explanation:

7 0
2 years ago
Which of the expressions below can be factored using the difference of squares method? A. 25x2 - 64y2 B. 17x2 + 23y2 C. 17x2 - 2
denis-greek [22]
<span>Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:
x^2-y^2
can be factored as follows:
(x-y)(x+y)

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.
i.e. 25x^2-64y^2
which can be factored as follows:
(5x-8y)(5x+8y).</span>
7 0
2 years ago
Please help!!
garik1379 [7]

Given:

The radius of the cone = 14 ft

The slant height of the cone = 27 ft

To find the lateral surface area and the total surface area of the given cone.

Formula

The lateral surface area of the cone is

LSA = \pi rl and

The total surface area of the cone is

TSA = \pi r^{2} + \pi r l

where,

r be the radius and

l be the slant height of the cone.

Now

Taking r = 14 and l = 27 we get

LSA = \pi (14)(27) sq ft

or, LSA = 1187.5 sq ft

Again,

TSA = \pi(14^2)+\pi (14)(27) sq ft

or,TSA = 1803.3 sq ft

Hence,

The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.

5 0
3 years ago
The library is 1.75 miles directly north of the school. The park is 0.6 miles directly south of the school. How far is the libra
kumpel [21]
If something is placed the way these places are(directly NORTH and the park is SOUTH) all you have to do is add your two values, lining up your decimal points. 1.75
            +.6
            2.35
Let me know if this helps by making me your brainliest answer
4 0
3 years ago
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