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3 years ago

Is it possible for an acute angle and obtuse angle to create complementary angles?

1 answer:

7 0

I’d say no because a complementary angle is 2 or more angles with a sum of 90 degrees [tip for differentiating supplementary and complementary angles: complementary (c) comes first in the alphabet (this is 90 degrees) and supplementary (s) comes later (this is 180 degrees. 180 comes later in counting] Anyway, an obtuse angle is more than 90 degrees which already can’t be a sum. (I’m not 100% sure but I hope this helps!)

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16x +36 PLEASE ANSWER

icang [17]

Answer:

4(4x+9

Step-by-step explanation:

Bye, have a good day. :)

Sorry if this is wrong. :(

brainliest, please???

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3 years ago

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Find the equation of the line.<br> Use exact numbers

klasskru [66]

Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

This question is asking for slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. First, find the slope; this can be done in two ways, counting change in y and x then dividing, or using the formula $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ . Either way for this graph the slope comes out as -1/3. Next, find the y-intercept, this is where the line intersects with the y-axis. In this case, the line touches the axis at 5, therefore 5 is the value of b.

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3 years ago

a laptop computer is purchased for $4500. Each year, its value is 80% of its value the year before. After how many years will th

motikmotik

Answer:

So after 7 year price of the laptop will be less than $1000

Step-by-step explanation:

We have given price of the laptop is $4500

Its price is 80% of if its value in every next year

So depreciation rate = 100 - 80 =20%

For depreciation we know that

$V=P(1-r)^n$

Here V is final value and P is present value

So $1000=4500(1-0.2)^n$

$0.2222=(0.8)^n$

Taking log both side

$log0.222=nlog0.8$

n = 6.74

So after 6.74 year the price of the laptop will be less than $1000

7 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0

4 years ago

Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to

Korvikt [17]

Let x be her initial distance from the building, then tan 37 = 130/x
x = 130/tan 37 = 130/0.7536 = 172.5 feet

Let y be her distance from the building after moving forward, then
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9

After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.

8 0

4 years ago

Read 2 more answers