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irina [24]
3 years ago
11

There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example

, you can take two 6-inch sticks and one 10-inch stick to make a 22-inch stick (6 + 6 + 10 = 22).How many different lengths of stick can be made out of at least one of the sticks?
Mathematics
1 answer:
GalinKa [24]3 years ago
4 0
If you divide all of them together starting inside of the parentheses you will get the wrong answer bc I’m just typing random thing
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Theo worked for 323 hours and earned $28.60.How much would he make if he worked for 613 hours?
julsineya [31]

Answer:

551.7

Step-by-step

323 divided by 28.6 is rounded up to be 9 cents an hour. Then multiply 613 x 0.9.

6 0
3 years ago
Given that lim x→1 (5x − 3) = 2, illustrate definition 2 by finding values of δ that correspond to ε = 0.1, ε = 0.05, and ε = 0.
kow [346]
\displaystyle\lim_{x\to1}(5x-3)=2

is to say that for any \varepsilon>0, we can find \delta>0 such that 0 implies |(5x-3)-2|.

To that end, we have

|(5x-3)-2|=|5x-5|=5|x-1|

which means that if \varepsilon=0.1 is given, then we can choose \delta=\dfrac{0.1}5=0.02; if \varepsilon=0.05, then \delta=\dfrac{0.05}5=0.01; if \varepsilon=0.01, then \delta=\dfrac{0.01}5=0.002.
5 0
4 years ago
The original price of a pair of shoes is $42. The sale price is 20% off the original price. What is the amount off the original
alexira [117]
You would have to take 42 and multiply it by .20 and get tht number and add it back to 42

3 0
3 years ago
PLEASE HELP! URGENT WILL GIVE BRAINLEST! PLEASE ANSWER ALL QUESTIONS!!! IF YOU DON'T I WILL REPORT.
Nesterboy [21]

Answer:

1.  b)  135°, 225°

2.  c)  0°, 180°

3.  a)  π/2

4.  b)  30°, 150°, 210°, 330°

5.  a)  1.25 radians and 4.39 radians

Step-by-step explanation:

<u>Question 1</u>

\begin{aligned}\cos \theta & = -\dfrac{\sqrt{2}}{2}\\\implies \theta & = \cos^{-1}\left(-\dfrac{\sqrt{2}}{2}\right)\\\\& = 135^{\circ} \pm 360^{\circ}n, 225^{\circ} \pm 360^{\circ}\\\\& = 135^{\circ}, 225^{\circ}\quad \textsf{for}\:0^{\circ}\leq \theta < 360^{\circ}\end{aligned}

<u>Question 2</u>

\begin{aligned}\cos^2 \theta-1 & = 0\\\implies \cos^2 \theta & = 1\\\cos \theta & = \pm1\\\theta & = \cos^{-1}(\pm1)\\& = 0^{\circ} \pm 360^{\circ}n, 180^{\circ} \pm360^{\circ}n\\& = 0^{\circ}, 180^{\circ}\quad \textsf{for}\:0^{\circ}\leq \theta < 360^{\circ}\end{aligned}

<u>Question 3</u>

\begin{aligned}\sin \theta & = 1\\\implies \theta & = \sin^{-1}(1)\\\theta & = \dfrac{\pi}{2}\pm2\pi n\\\theta & = \dfrac{\pi}{2}\quad \textsf{for}\:0 \leq \theta < 2 \pi \end{aligned}

<u>Question 4</u>

\begin{aligned}3 \tan^2 \theta-1 & = 0\\\implies \tan^2 \theta & = \dfrac{1}{3}\\\tan \theta & = \pm\dfrac{1}{\sqrt{3}}\\\theta & = \tan^{-1}\left(\pm\dfrac{1}{\sqrt{3}}\right)\\& = 30^{\circ}\pm180^{\circ}n, 150^{\circ}\pm180^{\circ}n\\& = 30^{\circ}, 150^{\circ}, 210^{\circ}, 330^{\circ}\quad \textsf{for}\:0^{\circ}\leq \theta < 360^{\circ}\end{aligned}

<u>Question 5</u>

\begin{aligned}2 \tan \theta -6 & = 0\\\implies \tan \theta & = 3\\\theta & = \tan^{-1}(3)\\\theta & = 1.25\pm \pi n\\\theta & = 1.25, 4.39 \quad \textsf{for}\:0^{\circ}\leq \theta < 2 \pi \end{aligned}

5 0
2 years ago
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Which of the following statement is true about a trapezoid
Arisa [49]
The answer is (D) One pair of opposite sides is parallel, btw, A,B,and C are properties of parallelograms. If that helped, plz mark my answer as bristliest, cuz i need it very soon.
5 0
4 years ago
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