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3 years ago

Can an isosceles triangle be a right angle

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

Yes. An isosceles can be a right triangle.

Because an isosceles triangle has two equal angles, two can be 45, and one can be 90.

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Because Charles David Keeling and his new colleagues began measuring CO2 in 1958, we now have an excellent record of how CO2 con

Alecsey [184]

Answer:

1. 516 ppm; 2. 561 ppm

Step-by-step explanation:

1. CO₂ increase at old rate

Time = 2100 - 2010 = 90 years

Increase in CO₂ = 90 yr × (1.4 ppm/1 yr) = 126 ppm

CO₂ in 2010 = 390 + 126 = 516 ppm

At the old rate, the CO₂ concentration in 2100 will be 516 ppm.

2. CO₂ increase at new rate

Time = 2100 - 2010 = 90 years

Increase in CO₂ = 90 yr × (1.9 ppm/1 yr) = 171 ppm

CO₂ in 2010 = 390 + 171 = 561 ppm

At the new rate, the CO₂ concentration in 2100 will be 561 ppm.

6 0

2 years ago

What is factoring? Why is it important?

mel-nik [20]

Because it specialises the groups that go into the number.

4 0

3 years ago

Read 2 more answers

I don’t understand need help

RideAnS [48]

Answer: Choice D

(a-e)/f

=======================================

Explanation:

Points D and B are at locations (e,f) and (a,0) respectively.

Find the slope of line DB to get

m = (y2-y1)/(x2-x1)

m = (0-f)/(a-e)

m = -f/(a-e)

This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.

Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.

8 0

2 years ago

Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

barxatty [35]

Answer:

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

$\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx$

If $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ , $a = 0$ , $b = b$ and $\bar f = 8$ , then:

$\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8$

$\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8$

$\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8$

$7 + 5\cdot b - 3\cdot b^{2} = 8$

$3\cdot b^{2}-5\cdot b +1 = 0$

The roots of this polynomial are determined by the Quadratic Formula:

$b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

7 0

3 years ago

In the XY-plane, the X-axis contains all ordered pairs such that:

Fiesta28 [93]

Answer:

Option B

y coordinate is 0

Step-by-step explanation:

We have in two dimension rectangular system of coordinates with two mutually perpendicular lines called x and y axis.

X axis is the horizontal line and y the vertical line, the point of intersection of these two lines is called origin with x=0: y=0

To the right of origin, positive values are marked and left negative. Similarly for y axis, above origin positive values and below negative values.

Thus we have along x axis, y values to be 0

Hence any point on x coordinate will be of the form (a,0) where a can be any real number

So option B is right

3 0

2 years ago

Read 2 more answers