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4 years ago

What is the complimentary angle of 72 degrees

Mathematics

2 answers:

Stella [2.4K]4 years ago

7 0

Answer:

Step-by-step explanation:

If sum of two angles add up to 90°, then two angles are called complementary angles

Let the unknown angle be x

x + 72° = 90°

x = 90° - 72°

x = 18°

Irina18 [472]4 years ago

4 0

Answer: 18°

Step-by-step explanation:

Complementary angles are any two angles whose sum is 90 degrees. Hence, if angles x and y are complimentary, we can say

x + y = 90°

Therefore, the complimentary angle of 72° is obtained by subtracting 72° from 90°

i.e 90° - 72° = 18°

Thus, the complimentary angle of 72° is 18°

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How to express the radical using the imaginary unit , i. Please help

Hitman42 [59]

Answer:

± 4i $\sqrt{5}$

Step-by-step explanation:

$\sqrt{-80}$ = $\sqrt{16(5)(-1)}$

= $\sqrt{16}$ × $\sqrt{5}$ × $\sqrt{-1}$

= 4 $\sqrt{5}$ i → [ $\sqrt{-1}$ = i ]

3 0

3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

Need help don’t understand

adoni [48]

there is an equation for straight lines which goes

y-y,=m(x-x,)

where( x, , y, ) is any coordinate on the line and m is the gradient

so your answer is

y-7= -2(x-4)

does this make sense?

7 0

3 years ago

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There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probabilit

goldenfox [79]

There are 10 juice boxes in the cooler altogether.
2 of them are grape.

The first time Jill pulls one out with her eyes closed,
the probability that it's a grape is

2 / 10 .

If that try is successful, then there are 9 boxes left in the cooler,
and one of them is grape.

If she already has one grape, and reaches in again with her eyes
closed, the probability of pulling out the second grape is

1 / 9 .

The probability of both events happening in two tries is

(2/10) x (1/9) = 2/90 = 1/45 = (2 and 2/9) percent .

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3 years ago

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Find the Mean, Median & Mode: 2, 6, 15, 3, 1, 8, 7

Marat540 [252]

Answer:

There is no mode

Step-by-step explanation:

3 0

2 years ago

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