cotθ= tan30° find theta

Answer:

Step-by-step explanation:

8(1 + 2i) -  (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)

                          = 8 + 16i -7 + 3i

                          = 8 - 7 + 16i + 3i

                          = 1 + 19i

Daniel forgot to multiply 2i by 8

Answer:

A , He did not apply the distributive property correctly for 8(1 + 2i).

on edge

Step-by-step explanation:

Answer:

B. 2.618 units

Step-by-step explanation:

the arc length = (5π/6) / 2π × 2×3.14×1

= 5/12 × 6.28

= 31.4/ 12

= 2.618 units

The arc length is = 2.618 units

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc. Arc length is a fraction of the circumference of the circle.

Given : r=1, [tex]\theta[/tex]= 5π/6

Now, arc length

= [tex]\theta[/tex]/ 2π * 2πr

= (5π/6) / 2π × 2×3.14×1

= 5/12 × 6.28

= 31.4/ 12

= 2.618 units

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Answer:

[tex] V_{cone} = 4000\pi \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cone (h) = 30 cm

Radius of the cone (r) = 20 cm

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \pi \: {(20)}^{2} (30) \\ \\ = \pi(400)(10) \\ \\ V_{cone} = 4000\pi \: {cm}^{3} [/tex]

Answer:

27.3

Step-by-step explanation:

3.9 x 7

=>(4 - 0.1) x 7 (USING DISTRIBUTIVE PROPERTY)

=>28 - 0.7

=>27.3

Answer: Choice D)  [tex]0 \le y \le 5[/tex]

This is because the smallest y can get is y = 0, while the largest it can get is y = 5. It can be anything in between these y values as well.

Visually, we look for the lowest and highest points. The range is the set of all possible y outputs. In contrast, the domain is the set of all allowed x inputs.

Answer:

in my opinion it's A.. hope it will help you.

Answer:

HCF X LCM= product of two numbers

14 x 840 = 42 x other number

other number= 14x840/42=280

Answer:

where is the Venn diagram plz insert Venn diagram then I should solve

The probability that the last one is not an orange if you do not replace the first and second fruits will be equal to 0.054.

Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.

As per the given information in the question,

The total number of fruits as per the data is,

4 apples + 6 pear + 3 oranges + 9 peaches = 21 fruits.

As per the statement, the first fruit is from 21 fruits.

There are 3 apples, so the probability will be,

3/21 = 1/7

The second fruit is from 20 fruits,

21 - 1 = 20

There are 9 peaches, so the probability will be,

9/20

The third fruit is from 19 fruits, so there are 16,

19 - 3 = 16

These fit the bill (not oranges), so the probability will be,

16/19.

So,

1/7 × 9/20 × 16/19

= 36/665

= 0.054

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Answer:

B. 1690.5 million VND

Step-by-step explanation:

Half of the perimeter of a rectangular piece of land is equal to 21 m

The full perimeter of the Land = 2 × 21m

= 42 m

Step 1

Find the Length and Width of the rectangle

Perimeter of a rectangle = 2L + 2W

Length is twice its width.

L = 2W

Hence:

42 = 2(2W ) + 2W

42 = 4W + 2W

42 = 6W

W = 42/6

W = Width = 7m

L = Length = 2W

L = 2 × 7

L = 14m

Step 2

Find the Area of the Land

Area of the rectangle = Length × Width

= 14m × 7m

= 98m²

Step 3

Given that 1 m² of the piece of land

costs 17.25 million VND. If someone wants to buy it, he or she has to

pay:

1m² = 17.25 million VND

98m² = x

Cross Multiply

1 m² × x = 98m² × 17.25 million VND

x = 1690.5 million VND

Option B is the correct answer

Answer:

(4,5)

Step-by-step explanation:

Hi there!

We are given the system of equations:

5x+2y=30

-5x+4y=0

and we need to find the solution

there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable

When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively

5x+2y=30

-5x+4y=0

add the equations together

6y=30

divide both sides by 6

y=5

we found the value of y

now we need to find the value of x

substitute 5 as y into either one of the equations (ex. the first one) to solve for x

5x+2(5)=30

multiply

5x+10=30

subtract 10 from both sides

5x=20

divide both sides by 5

x=4

so the answer is x=4, y=5; as a point, it's (4,5)

Hope this helps! :)

Answer:

No solution is possible

Step-by-step explanation:

You didn't indicate the number of adults and children.

y= -1x -3

that's equation of the line

Answer:

110°

Step-by-step explanation:

Each tick line in a protractor shows 10°. So the next is 110° inclined.

Answer:

110 degrees hope this helps

Step-by-step explanation:

Answer:

It would be 4 or C.

Step-by-step explanation:

Hope this helps!

Good Luck!

:)

Given:

Two chords intersect each other inside the circle.

To find:

The value of x.

Solution:

According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to  the product of two segments of second chord.

In the given circle,

[tex]AE\times CE=BE\times DE[/tex]

[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]

[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]

[tex]15x^2-67x+44+x^2-15x-34=0[/tex]

[tex]16x^2-82x+10=0[/tex]

Divide both sides by 2.

[tex]8x^2-41x+5=0[/tex]

Splitting the middle term, we get

[tex]8x^2-40x-x+5=0[/tex]

[tex]8x(x-5)-1(x-5)=0[/tex]

[tex](8x-1)(x-5)=0[/tex]

Using zero product property, we get

[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]

[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]

For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.

Therefore, the required solution is [tex]x=5[/tex].

Answer:

the answer to the question is 12cm

Answer:

THE ANSWER IS 54

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just round up to nearest number and 7/8 is 0.87 so it coloser to 1 than half and the others are way to big.

Answer:

4×4=16

Step-by-step explanation:

four squared is a two dimension polygon with a four equal side of four length unit.

Answer:

4×4=16

Step-by-step explanation:

Answer:

I think it is 2 points for this .

Answer:

12

Step-by-step explanation:

Since they are parallel then

(7x - 8) + (11x - 28) = 180

18x - 36 = 180

18x = 216

x = 12

Answer:

W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x, y) is dilated by a scale factor of k, the new point is A'(kx, ky). If a point A(x, y) is reflected over line y = x, the new point is A'(y, x).

Given the vertices W(-3,5), X(8,6),  Y(3,-6), and Z(-4,1). If it is dilated by a scale factor of 2/3, the new point is at W*(-6, 10/3), X*(16/3, 4), Y*(2, -4) and Z*(-8/3, 2/3). If it is then reflected over the line y = x, the new point is W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3).

Answer:   I think it is A or C

hope this helps!

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

It's a whole 540 degrees

So y = 70 degrees

Answer:

jennifer won 15 time and mark won 24

if the answer is wrong i am really sorry

Step-by-step explanation:

the lines on the graph of inequality second option