1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentinak56 [21]
2 years ago
11

Elena rode her bike 2 miles in 10 minutes. She rode at a constant speed. Complete the table to show the time it took her to trav

el different distances at this speed. Write your answer as a decimal.

Mathematics
2 answers:
Komok [63]2 years ago
6 0

Answer:

0.2

Step-by-step explanation:

2/10 or 1/5

NeTakaya2 years ago
6 0

Answer:

0.2

Step-by-step explanation:

You might be interested in
Four times a number<br> decreased by ten is 34.<br> Write an equation &amp; solve.
igomit [66]
4x - 10 = 34
4x +10 +10
4x = 44
4x/4 = 44/4
x = 11
5 0
3 years ago
Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where are points E' and F' located after dilation,
Sholpan [36]

Answer:

The locations of E' and F' are E'(-2,0) and F'(0,1), and lines g and g' are parallel.

Step-by-step explanation:

I got it right on my test! :)

7 0
2 years ago
Tiana's checking account charges a $7.75 monthly service fee and a $0.16 per-check fee. If Tiana writes 17 checks per month, sho
AlekseyPX

the answer to this question is B

3 0
3 years ago
Read 2 more answers
A stereo costs $320. in a sale it is reduced by 25% what is the sale price
Rudiy27
First, set up a proportion to find the reduction in price. 25/100=x/320. Cross multiply to get 8000=100x. Divide by 100 on both sides to get x=80. That's the reduction in price. Subtract from the total to find the new price 320-80=$240
6 0
3 years ago
If alpha and beta are the angles in the first quadrant tan alpha = 1/7 and sin beta =1/ root 10 then usind the formula sin (A +B
zysi [14]

Answer:

$\arcsin\left(\frac{129\sqrt{2}}{250}\right)\approx 0.8179$

Step-by-step explanation:

\alpha \text{ and } \beta \text{ in Quadrant I}

$\tan(\alpha)=\frac{1}{7} \text{ and } \sin(\beta)=\frac{1}{\sqrt{10}}=\frac{\sqrt{10} }{10} $

<u>Using Pythagorean Identities</u>:

\boxed{\sin^2(\theta)+\cos^2(\theta)=1}    \text{ and } \boxed{1+\tan^2(\theta)=\sec^2(\theta)}

$\left(\frac{\sqrt{10} }{10} \right)^2+\cos^2(\beta)=1 \Longrightarrow \cos(\beta)=\sqrt{1-\frac{10}{100}}  =\sqrt{\frac{90}{100}}=\frac{3\sqrt{10}}{10}$

\text{Note: } \cos(\beta) \text{ is positive because the angle is in the first qudrant}

$1+\left(\frac{1 }{7} \right)^2=\frac{1}{\cos^2(\alpha)}  \Longrightarrow 1+\frac{1}{49}=\frac{1}{\cos^2(\alpha)}  \Longrightarrow \frac{50}{49} =\frac{1}{\cos^2(\alpha)} $

$\Longrightarrow \frac{49}{50}=\cos^2(\alpha) \Longrightarrow  \cos(\alpha)=\sqrt{\frac{49}{50} } =\frac{7\sqrt{2}}{10}$

\text{Now let's find }\sin(\alpha)

$\sin^2(\alpha)+\left(\frac{7\sqrt{2} }{10}\right)^2=1 \Longrightarrow \sin^2(\alpha) +\frac{49}{50}=1 \Longrightarrow \sin(\alpha)=\sqrt{1-\frac{49}{50}} = \frac{\sqrt{2}}{10}$

<u>The sum Identity is</u>:

\sin(\alpha + \beta)=\sin(\alpha)\cos(\beta)+\sin(\beta)\cos(\alpha)

I will just follow what the question asks.

\text{Find the value of }\alpha+2\beta

\sin(\alpha + 2\beta)=\sin(\alpha)\cos(2\beta)+\sin(2\beta)\cos(\alpha)

\text{I will first calculate }\cos(2\beta)

$\cos(2\beta)=\frac{1-\tan^2(\beta)}{1+\tan^2(\beta)} =\frac{1-(\frac{1}{7})^2 }{1+(\frac{1}{7})^2}=\frac{24}{25}$

\text{Now }\sin(2\beta)

$\sin(2\beta)=2\sin(\beta)\cos(\beta)=2 \cdot \frac{\sqrt{10} }{10}\cdot \frac{3\sqrt{10} }{10} = \frac{3}{5} $

Now we can perform the sum identity:

\sin(\alpha + 2\beta)=\sin(\alpha)\cos(2\beta)+\sin(2\beta)\cos(\alpha)

$\sin(\alpha + 2\beta)=\frac{\sqrt{2}}{10}\cdot  \frac{24}{25} +\frac{3}{5} \cdot \frac{7\sqrt{2} }{10} = \frac{129\sqrt{2}}{250}$

But we are not done yet! You want

\alpha + 2\beta and not \sin(\alpha + 2\beta)

You actually want the

$\arcsin\left(\frac{129\sqrt{2}}{250}\right)\approx 0.8179$

7 0
2 years ago
Read 2 more answers
Other questions:
  • A bicyclist travels at a rate of 13 miles an hour. If the bicyclist continues at this rate, how many miles can the bicyclist tra
    8·2 answers
  • <img src="https://tex.z-dn.net/?f=108cm%20%7B%3F%7D%5E%7B2%7D%20" id="TexFormula1" title="108cm {?}^{2} " alt="108cm {?}^{2} " a
    14·1 answer
  • Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He kn
    13·1 answer
  • I NEED HELP WITH THIS! ANYONE???
    5·1 answer
  • The distance between the library and the grocery store is 4cm on the map .the actual distance is 12 km what is the scale of the
    9·2 answers
  • The price of an iphone was reduced from $960 to $840. By what percentage was the price of the iphone reduced?
    8·1 answer
  • 1. Is the relation a function and why or why not?<br> {(1, 2), (2, 3), (1, 6), (4,3)}
    10·1 answer
  • Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many day
    5·1 answer
  • Octavia buys a pair of jeans for $20.50 plus 8% tax.
    5·2 answers
  • Factored Form:<br><br> y=2(x+5)(x+4)<br><br> What are the x- intercepts, y-intercepts, and vertex?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!