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andreyandreev [35.5K]
3 years ago
13

Please help me if you get the answer correct you become BRAINLIEST. It takes Diego 124 of an hour to complete a lap on a circula

r bike track. The track is 13 mile long. What is Diego’s bike speed?
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

Answer:

speed = distance × time

speed= 13 × 0.48

speed = 6.24 m/s

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Hello, precalc, need help on finding csc
Ainat [17]

Recall the double angle identity for cosine:

\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)

It follows that

\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}

Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,

\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2

but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...

3 0
2 years ago
Whats 8 over x-2 =24 over 7 in solving proportions NO LINKS
iragen [17]

Answer:

x=\frac{1}{3}

Step-by-step explanation:

\frac{8}{x-2} =\frac{24}{7}

x=\frac{1}{3}

3 0
3 years ago
For the last basketball game, 381 tickets were sold. Adult tickets sold for $7, and student tickets sold for $3. How many adult
vovikov84 [41]

Answer: 96 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of students tickets that were sold.

For the last basketball game, 381 tickets were sold. This means that

x + y = 381

Adult tickets sold for $7, and student tickets sold for $3. If the ticket sales totaled 1,527, it means that

7x + 3y = 1527 - - - - - - - - - - - -1

Substituting x = 381 - y into equation 1, it becomes

7(381 - y) + 3y = 1527

2667 - 7y + 3y = 1527

- 7y + 3y = 1527 - 2667

- 4y = - 1140

y = - 1140/- 4

y = 285

x = 381 - y = 381 - 285

x = 96

4 0
3 years ago
Zane bought a pair of jeans that originally cost $56. He used a coupon for 25% off and paid 8% in sales tax. How much did he pay
sattari [20]

Answer:

$38.64

Step-by-step explanation:

so the equation needed to solve is $56*0.25 and that number is 14. Since it is a coupon you subtract 14 from 56 and end up with 42. Now multiply 0.08*42 and you got your sales tax, $3.36. now subtract that from 42 and you have your answer! Don't forget the dollar sign!

hope this helped! : )

5 0
3 years ago
Solve <br>|-4b-8|+|-1-b^2|+2b^3. b= -2<br>show steps please .
evablogger [386]
Ok, first put in the -2 for each b. That gives:
|-4(-2)-8|+|-1(-(-2))^2|+2(-2)^3
Let's do each section.
The first section is |-4(-2)-8)|
-4 times -2 is 8, minus 8 is 0. The absolute value of 0 is still 0.
Now we move on to |-1(-(-2))^2)|
First we do exponents
-(-2) is 2, and 2^2 is 4. 4 times -1 is -4. The absolute value of -4 is 4
Now the last section, 2(-2)^3
Exponents first: (-2)^3 is -2 * -2 * -2, which is -8.
-8*2=-16.
0+4+(-16)=-12
7 0
3 years ago
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