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asambeis [7]
3 years ago
11

It's angel sum theorem​

Mathematics
1 answer:
N76 [4]3 years ago
8 0
180 degrees - 115 degrees = 65 degrees
65 degrees + 90 degrees = 155 degrees
180 degrees - 155 degrees = y
Y= 25 degrees
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2x + y = 3
kaheart [24]

9514 1404 393

Answer:

  5y = 5

Step-by-step explanation:

  -2(x -2y) +(2x +y) = -2(-1) +(3) . . . . -2 times [eq2] + [eq1]

  -2x +4y +2x +y = 2 +3 . . . . eliminate parentheses

  5y = 5 . . . . . . . . collect terms

5 0
3 years ago
Is 0.62 a rational number?
dimaraw [331]

A rational number is any number that can be written <em>as a ratio of two integers</em>.

0.62 fits the bill, as it can be written as the ratio 62/100 (or simplified to the ratio 31/50)

7 0
4 years ago
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Find the area enclosed between f(x)=0.3x2+7 and g(x)=x from x=−4 to x=8.
denis23 [38]
First, we sketch a picture to get a sense of the problem. g(x)=x is a diagonal line through (0,0) with slope = = 1. Since we are interested in the area between x = -4 and x = 8, we find the points on the line at these values. These are (-4, -4) and (8,8).

f(x) is a parabola. It's lowest point occurs when x = 0. It is the point (0,7). At x = -4 and x=8 it has the values 11.8 and 26.2 respectively. That is, it contains the points (-4, 11.8) and (8,26.2).

From these we make a rough sketch (see attachment). This is a sketch and mine is very incorrect when it comes to scale but what matters here is which of the curves is on top, which is below and whether they intersect anywhere in the interval, so my rough sketch is good enough. From the sketch we see that f(x) is always above (greater than) g(x).

To find the area between the curves over the given interval we integrate their difference and since f(x) is strictly greater than g(x) we subtract as follows: f(x) - g(x). The limits of integration are the values -4 and 8 (the x-values between which we are looking for the area.

Now let's integrate:
\int\limits^{8}_ {-4}f(x)-g(x) \, dx = \int\limits^{8}_ {-4}.3 x^{2} +7-x \, dx
The integral yields: [tex](\frac{.3 (8)^{3} }{3} +7(8)- \frac{ (8)^{2} }{2}) -(\frac{.3 (-4)^{3} }{3} +7(-4)- \frac{ (-4)^{2} }{2}) = 117.6 [/tex]
We evaluate this for 8 and for -4 subtracting the second FROM the first to get:


4 0
3 years ago
Find two numbers if their ratio is 4:7 and their difference is 123.<br> help
Karo-lina-s [1.5K]

Answer:

  164 and 287

Step-by-step explanation:

Their difference is 7-4 = 3 ratio units, so each ratio unit must stand for 123/3 = 41.

Then the numbers are 4·41 and 7·41, or 164 and 287.

5 0
3 years ago
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Help me. what is three and one half times one and two thirds
Natali [406]

Answer:

3 1/2 × 1 2/3 = 5 5/6.

5 0
3 years ago
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