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Sonja [21]
3 years ago
11

Help me solve 8/100 + 9/10 =

Mathematics
2 answers:
NARA [144]3 years ago
8 0
If you type it in the calculator, it's .98.
Delvig [45]3 years ago
7 0
49/50 is your answer in simplest form. 

First you got to make it the same denominator. 
8/100+90/100=98/100. 
Simplify it and it will be 49/50.
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If the scale factor between two circles is 2x/5y, what is the ratio of their areas?​
Zinaida [17]

Given that the <em>length</em> ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).

<h3>What is the area ratio of two circles?</h3>

According to the statement we know that the radius ratio between two circles. Given that the area of the circle is directly proportional to the square of its radius, then the <em>area</em> ratio is shown below:

A ∝ r²

A = k · r²

A' · r² = A · r'²

A' / A = r'² / r²

A' / A = (r' / r)²

A' / A = [(2 · x) / (5 · y)]²

A' / A = (4 · x²) / (25 · y²)

Given that the <em>length</em> ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).

To learn more on ratios: brainly.com/question/13419413

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7 0
2 years ago
The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to t
yanalaym [24]

Answer:

A

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of <em>y</em> = eˣ, <em>y</em> = 0, <em>x </em>= 0, and <em>x</em> = 1. Each cross-section perpendicular to the <em>x</em>-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each <em>x</em> value. So, we integrate from <em>x </em> = 0 to <em>x </em>= 1.

The area for an equilateral triangle is given by:

\displaystyle A=\frac{\sqrt{3}}{4}s^2

Where <em>s</em> is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at <em>x</em> is simply <em>y</em>, which is eˣ.

Therefore, our volume is:

\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx

Substitute:

\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx

Evaluate the integral. Simplify:

\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx

Integrate using u-substitution:

\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)

Evaluate:

\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)

Therefore, the volume of the solid is:

\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)

Our answer is A.

3 0
3 years ago
Read 2 more answers
Solve the following system of equations. Express your answer as an ordered
exis [7]

Answer:

I'm not going to give you an exact answer because there could be many different ones

Step-by-step explanation:

The equations can be rewritten as:

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then you just insert a value for x and get the answer.

8 0
3 years ago
What is the volume of the triangular prism? *
SVETLANKA909090 [29]

Answer: 144

Step-by-step explanation:

No need explanation

8 0
3 years ago
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Simplify 6(x + 4) 10x 6x + 4 6x + 24
Maurinko [17]

Answer:

=360x4+1440x3+24x+24

Step-by-step explanation:

6(x+4)(10)xx(6)x+(4)(6)x+24

=360x4+1440x3+(4)(6)x+24

=360x4+1440x3+24x+24

Hope it helps!!

6 0
3 years ago
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