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3 years ago

Which of the following ratlos is not equivalent to 6:10?

Mathematics

1 answer:

Len [333]3 years ago

7 0

Answer:

24/45 or 9/15

Step-by-step explanation:

none of these is equivalent to 6:10

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In a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither

Sphinxa [80]

Answer:

9/25

Step-by-step explanation:

Our denominator is the total amount in class. x/25

Our numerator is the total of people are "the probability that a student chosen at random has a cat and a dog" Which is -9.

~~~Hope this helps~~~ :)

3 0

2 years ago

Could someone help me with math? *spam answers not tolerated* THANKS WILL GIVE BRAINLIEST if you have an explanation! Thanks in

Andru [333]

Answer:

r = 3/2

Step-by-step explanation:

ratio (r) is the number that, when multiplied by the previous (n-1) term, gives the nth term of the geometric sequence (). To find the common ratio, we can take any term and divide it by its preceding term (rearrange the formula to get ). If we take 24 and divide it by 16, we get the common ratio of 3/2 (, ).

4 0

2 years ago

Find angle D if angle B = 50

Mariana [72]

<h3>Answer: 80 degrees</h3>

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

Explanation:

I'm assuming that segments AD and CD are tangents to the circle.

We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.

By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.

----------------------------

Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.

Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.

We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.

---------------------------

Here's what we have so far for quadrilateral DAEC

angle A = 90
angle E = 100
angle C = 90
angle D = unknown

Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees

A+E+C+D = 360

90+100+90+D = 360

D+280 = 360

D = 360-280

D = 80

Or a shortcut you can take is to realize that angles E and D are supplementary

E+D = 180

100+D = 180

D = 180-100

D = 80

This only works if AD and CD are tangents.

Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.

5 0

3 years ago

If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

3 years ago

Pencils come in cartons of 24 boxes. A school bought 50 cartons of pencils for the start school. Each box of pencils cost 2 doll

Kryger [21]

The expression representing this would be 24 × 50 × 2. You do not need parentheses because multiplication is commutative. Simplified this would then be 100 × 24 which is $2400 .

7 0

3 years ago