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3 years ago

Is there a transformation that maps shape I onto shape V?

Mathematics

1 answer:

DaniilM [7]3 years ago

8 0

Answer: Chocolate cake

Step-by-step explanation: I mean... Isn't it pretty clear?? Cho-co-late cake!!

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Find the angle between the given vector in degrees. u=<6, 4>, v=<7, 5> HELPPPPPPPPPP

Paladinen [302]

Recall that

$\vec a\cdot\vec b=\|\vec a\|\|\vec b\|\cos\theta$

where $\theta$ is the angle between the vectors $\vec a,\vec b$ whose magnitudes are $\|\vec a\|,\|\vec b\|$ , respectively.

We have

$\langle6,4\rangle\cdot\langle7,5\rangle=\sqrt{6^2+4^2}\sqrt{7^2+5^2}\cos\theta$

$\cos\theta=\dfrac{31}{\sqrt{962}}\implies\theta\approx88.2^\circ$

7 0

3 years ago

A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's avera

kodGreya [7K]

Answer:

11 miles per hr because 10 miles took 50 minutes so add 1 mile and it is 1hr. Which is 11 miles per hr

4 0

3 years ago

Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank i

jeka94

Let $a,b,c$ be the time it takes for pumps A, B, and C (respectively) to fill 1 tank. Then

$\begin{cases}\dfrac1a+\dfrac1b=\dfrac1{\frac65}=\dfrac56\\\\\dfrac1a+\dfrac1c=\dfrac1{\frac32}=\dfrac23\\\\\dfrac1b+\dfrac1c=\dfrac12\end{cases}$

Now,

$\left(\dfrac1a+\dfrac1b\right)-\left(\dfrac1a+\dfrac1c\right)=\dfrac56-\dfrac23\implies\dfrac1b-\dfrac1c=\dfrac16$

Then

$\left(\dfrac1b+\dfrac1c\right)+\left(\dfrac1b-\dfrac1c\right)=\dfrac12+\dfrac16\implies\dfrac2b=\dfrac23\implies b=3$

This means

$\dfrac1a+\dfrac13=\dfrac56\implies\dfrac1a=\dfrac12\implies a=2$

and

$\dfrac13+\dfrac1c=\dfrac12\implies\dfrac1c=\dfrac16\implies c=6$

Working together, all 3 pumps would operate at a rate of

$\dfrac1a+\dfrac1b+\dfrac1c=1$

or 1 tank in 1 hour, so the answer is D.

8 0

3 years ago

What is the equation that passes through the points (5,2) and has a slope of 3

charle [14.2K]

Answer:

y=3x-13

Step-by-step explanation:

First, write your equation: y=3x+b. Plug in your ordered pair to the equation, it should look like this: 2=3(5)+b. 3 times 5 equals 15. This is what your equation should look like: 2=15+b. Subtract 15 from both sides to get -13 as your y-intercept. Go back to your original equation and plug in -13 to b. This is your final equation: y=3x-13. Hope this helped!

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3 years ago

If n=6 and x=1/6, then n(2-x)=

scoundrel [369]

Answer:

Step-by-step explanation:

4 0

3 years ago