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4 years ago

In the figure shown angle 1 has a measure of 90° and angle 2 has a measure of 38° find the measure of the remaining angles

Mathematics

1 answer:

ddd [48]4 years ago

6 0

Step-by-step explanation:

1. 90

2. 38

3. 52

4. 90

5. 38

6. 52

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Identify the missing number. X^4 • X^? = X^5

MArishka [77]

Answer:

? = 1

Step-by-step explanation:

7 0

3 years ago

The Square sand pit in park lot has an area of 16 ft. There is a rope along one side of the pit. How long is the rope?

slavikrds [6]

Answer:

ydhhh

Step-by-step explanation:

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4 0

3 years ago

Consider the line integral Z C (sin x dx + cos y dy), where C consists of the top part of the circle x 2 + y 2 = 1 from (1, 0) t

pashok25 [27]

Direct computation:

Parameterize the top part of the circle $x^2+y^2=1$ by

$\vec r(t)=(x(t),y(t))=(\cos t,\sin t)$

with $0\le t\le\pi$ , and the line segment by

$\vec s(t)=(1-t)(-1,0)+t(2,-\pi)=(3t-1,-\pi t)$

with $0\le t\le1$ . Then

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)$

$=\displaystyle\int_0^\pi(-\sin t\sin(\cos t)+\cos t\cos(\sin t)\,\mathrm dt+\int_0^1(3\sin(3t-1)-\pi\cos(-\pi t))\,\mathrm dt$

$=0+(\cos1-\cos2)=\boxed{\cos1-\cos2}$

Using the fundamental theorem of calculus:

The integral can be written as

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=\int_C\underbrace{(\sin x,\cos y)}_{\vec F}\cdot\underbrace{(\mathrm dx,\mathrm dy)}_{\vec r}$

If there happens to be a scalar function $f$ such that $\vec F=\nabla f$ , then $\vec F$ is conservative and the integral is path-independent, so we only need to worry about the value of $f$ at the path's endpoints.

This requires

$\dfrac{\partial f}{\partial x}=\sin x\implies f(x,y)=-\cos x+g(y)$

$\dfrac{\partial f}{\partial y}=\cos y=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\sin y+C$

So we have

$f(x,y)=-\cos x+\sin y+C$

which means $\vec F$ is indeed conservative. By the fundamental theorem, we have

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=f(2,-\pi)-f(1,0)=-\cos2-(-\cos1)=\boxed{\cos1-\cos2}$

3 0

3 years ago

How fast is the minivan traveling in miles per minute

s2008m [1.1K]

The van is traveling about 55.9 miles per hour.

7 0

3 years ago

Julie gives 7 pieces of candy to each of her friends. If Julie gives all of her candy away, which amount of candy could have bee

True [87]

To find the answer to this problem, you just need to figure out which total amount of candy is divisible by 7.

161/7=23
162/7=23.1428571429
145/7=20.7142857143
128/7=18.2857142857

Obviously, Julie cannot give a fraction of an amount of candy to someone. So that rules out that she had 162, 145, or 128 pieces of candy.

The only amount of candies that Julie could have that is divisible by 7 is 161 candies, which means that 161 is your answer.

5 0

3 years ago

Read 2 more answers