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3 years ago

7+9+6+9+9+7+9+4+2+8+7+9+10

Mathematics

2 answers:

Minchanka [31]3 years ago

6 0

Answer:

Step-by-step explanation:

If your having trouble adding, try using the vertical method ;)

Sunny_sXe [5.5K]3 years ago

5 0

USE G O O G L E you will get your answer quicker than a jiffy on a stick:)

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Convert the angle 0 = 228° to radians.<br> Express your answer exactly.

Blizzard [7]

Answer:

$\frac{19 \pi}{15}$

Step-by-step explanation:

To convert a given angle from degrees to radians, we multiply by

$\frac{ \pi}{180}$

The given degree measure is 228°

Its radian equivalence is

$\frac{ \pi}{180} \times 228 = \frac{19 \pi}{15}$

Therefore the exact value of 228° is

$\frac{19 \pi}{15} \: radians$

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3 years ago

Simplify by using the distributive property:

lesya692 [45]

12. 4(s+5)
4s+20

15. 2(3r-12)
6r-24

18. -3(16-3d)
9d-48

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3 years ago

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

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3 years ago

There are five consecutive even integers. The sum of the first two is thirty-six less than the sum of the last three numbers. Wh

Norma-Jean [14]

5 consecutive even integers: 2n, 2n+2, 2n+4, 2n+6, 2n+8 for any integer n The sum of the two smallest of five consecutive even integers is 50 less than the sum of the other three integers: 2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 504n + 2 = 6n -3234 = 2nn = 17 <span>The smallest integer in our sequence is 2n = 2*17 = 34</span> Check:2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 5034 + 36 = 38 + 40 + 42 - 5070 = 120 - 5070 = 70

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3 years ago

Choose the wavelength that is used in radio telescopes, heating food and radar.

ryzh [129]

Pretty sure it’s microwave.

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2 years ago

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