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3 years ago

11

a fraction in which the greatest common factor of the numerator and the denominator is 1 is written in

1 answer:

galina1969 [7]3 years ago

3 0

A fraction? I don't understand since it is not multiple choice.

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98 POINTS MATH!

patriot [66]

Let $a$ be the length of the leg with one tick mark and $b$ the length of the leg with two tick marks.

In the upper triangle, the law of cosines says

$6^2=a^2+b^2-2ab\cos43^\circ$

In the lower triangle, it says

$4^2=a^2+b^2-2ab\cos(4y-5)^\circ$

Subtract the second equation from the first to eliminate $a^2+b^2$ :

$6^2-4^2=-2ab(\cos43^\circ-\cos(4y-5)^\circ)$

$10=ab(\cos(4y-5)^\circ-\cos43^\circ)$

$a$ and $b$ are lengths so they must both be positive. 10 is also positive, so in order to preserve the sign on both sides of this equation, we must have

$\cos(4y-5)^\circ-\cos43^\circ>0$

$\cos(4y-5)^\circ>\cos43^\circ$

Now we have to be a bit careful. If $x$ is an acute angle, then as $x$ gets larger, the value of $\cos x$ gets smaller. So if we have two angles $\theta$ and $\varphi$ , with $0^\circ$ , then we would have $\cos\theta>\cos\varphi$ .

This means in our inequality, taking the inverse cosine of both sides would reverse the inequality:

$(4y-5)^\circ$

We know that $(4y-5)^\circ$ is an angle in a triangle, so it must be some positive measure:

$(4y-5)^\circ>0^\circ\implies y>\dfrac54^\circ$

So we must have

$\dfrac54^\circ$

6 0

3 years ago

When 2 lines are perpendicular to one another, how many degrees is their angle intersection

serious [3.7K]

90 degrees is the angle at intersection

5 0

3 years ago

What is the sum of 3/7, 4/5, and 2/3 round to two decimal places?

Anna11 [10]

Answer:

1.90

Step-by-step explanation:

You would want to use a calculator since you need decimal places.

Once you type it into the calculator you should get 1.8952380952.

Since you're trying to simplify to the second decimal place, look at the third number after the decimal.

The 5 rounds up the 9 to a ten, which is represented by the 0.

That then turns the 8 into a nine.

3 0

3 years ago

The ratio of the number of Mays necklaces to the number of Helen's necklace is 25:9. May has 100 necklaces. How many necklaces d

likoan [24]

Answer:

36

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36

6 0

3 years ago

The graph shows that you are traveling at a constant rate. Three of the statements are true. Which is NOT?

Bess [88]

Answer:

Your speed is 135 miles per hour.

Step-by-step explanation:

Mark me brainliest if I helped:D

7 0

3 years ago