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4 years ago

Please can any one help on these two

Mathematics

2 answers:

frutty [35]4 years ago

7 0

Question 1 is C and question 2 is A

Free_Kalibri [48]4 years ago

5 0

For the first question it’s C and for the second question it’s A

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Circle M is circumscribed about right triangle ABC with legs 6 meters and 8 meters.

pashok25 [27]

ABC is a right triangle, so AC has length given by

$AC^2=(6\,\mathrm m)^2+(8\,\mathrm m)^2\implies AC=\sqrt{100\,\mathrm m^2}=10\,\mathrm m$

Then the circumference of circle M is $10\pi\,\mathrm m$ .

4 0

3 years ago

If k represents a number, then write an expression for the ratio of 3 less than k to 2 more than k

Svetradugi [14.3K]

Answer:

k - 3 : k + 2

Step-by-step explanation:

3 less than k = k - 3

2 more than k = k + 2

Ratio of 3 less than k to 2 more than k

In ratios, the word 'to' is represented as a colon :

k - 3 : k + 2

Hope this helps :)

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2 years ago

What is the midpoint of the line segment with endpoints (-2, -4) and (4,6)?

prohojiy [21]

Answer:

(1,1)

Step-by-step explanation:

use the midpoint formula to find the midpoint of the line segment

7 0

4 years ago

likoan [24]

It's easy to show that $7\tan(4x)$ is strictly increasing on $x\in\left[0,\frac\pi8\right]$ . This means

$M = \max \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/12} = 7\sqrt3$

and

$m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7$

Then the integral is bounded by

$\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)$

$\implies \displaystyle \boxed{\frac{7\pi}{48}} \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le \boxed{\frac{7\sqrt3\,\pi}{48}}$

7 0

2 years ago

A sailfish can swim u to 68 miles per hour. At this rate, how far can a sailfish swim in 1/4 hour?

Novay_Z [31]

Answer:

C. 17 miles

Step-by-step explanation:

Divide 68 by 4 since it is a fourth of an hour

6 0

3 years ago