Let t=4 and u=6+2i. Find t+u.

Answer:

sinC = [tex]\frac{4\sqrt{41} }{41}[/tex]

Step-by-step explanation:

We require to find the side DE before finding sinC

Using Pythagoras' identity in the right triangle

DE² + CE² = CD²

DE² + 5² = ([tex]\sqrt{41}[/tex] )²

DE² + 25 = 41 ( subtract 25 from both sides )

DE² = 16 ( take the square root of both sides )

DE = [tex]\sqrt{16}[/tex] = 4 , then

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DE}{CD}[/tex] = [tex]\frac{4}{\sqrt{41} }[/tex] , rationalise the denominator

sinC = [tex]\frac{4}{\sqrt{41} }[/tex] × [tex]\frac{\sqrt{41} }{\sqrt{41} }[/tex] = [tex]\frac{4\sqrt{41} }{41}[/tex]

Step-by-step explanation:

I cannot see all the answer options.

square garden, side length x.

area = x² (or x×x)

new area r = (x-p)(x+q) = x² - px + qx - pq =

= x² + (q - p)x - pq

3D printer. costs p in general.

makes x figurines.

material per figurine costs q.

costs per figurine r = q + p/x

as the printer costs themselves need to be distributed equally across all produced figurines.

investment account. q% pretty year.

p dollars starting balance.

letting it sit for x years.

a0 = p

a1 = a0 + a0×q/100 = a0 × (1 + q/100)

a2 = a1 + a1×q/100 = a1×(1 + q/100) = a0×(1 + q/100)²

a3 = a2 + a2×q/100 = a2×(1 + q/100) = a0×(1 + q/100)³

...

ax = a0×(1 + q/100) to the power of x =

= p × (1 + q/100) to the power of x

account without interest. p dollars are already in it.

adding q dollars every month for x months.

balance after these x months

r = x×q + p = q×x + p

Answer:

The minimum is -4

Step-by-step explanation:

The minimum is the lowest point on the parabola

It is at (-3,-4)

The y value is the minimum of the function

The minimum is -4

Answer:

-4+8+-16+32+-64+128 = 84

Step-by-step explanation:

The fifth and sixth terms are -64 and 128

Answer:

1 -1

2-4

3-9

4-16

5-25

6-36

7-49

8-64

9-81

10-100

11-121

12-144

Those are the first 12

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

I got it correct on a test

Whole part = 2

Fractional part = 59/396

======================================================

Work Shown:

3 & 3/5 = 3 + 3/5

3 & 3/5 = 15/5 + 3/5

3 & 3/5 = 18/5

--------------------

4 & 8/9 = 4 + 8/9

4 & 8/9 = 36/9 + 8/9

4 & 8/9 = 44/9

--------------------

Now apply the rule that 1/(A/B) = B/A. We apply the reciprocal to the fraction A/B to get B/A

That means something like 1/(18/5) becomes 5/18

Also, 1 over (44/9) becomes 9/44

1 over (3/5) becomes 5/3

-------------------

We now have the following:

(5/18) + (9/44) + (5/3)

We'll come back to this later. But first need the LCD, which means we need the LCM of the denominators.

Write out the prime factorization of each denominator

The unique prime factors are: 2, 3, 11

The LCM is 2^2*3^3*11^1 = 1188, which is also the LCD

-------------------

We need to get each fraction to have the LCD

5/18 = (5/18)*(66/66) = 330/1188

9/44 = (9/44)*(27/27) = 243/1188

5/3 = (5/3)*(396/396) = 1980/1188

We can now add the fractions like so

(5/18) + (9/44) + (5/3)

(330/1188) + (243/1188) + (1980/1188)

(330+243+1980)/1188

2553/1188

-------------------

We're almost done. We just need to convert to a mixed number, aka mixed fraction

Using a calculator or long division, you should find that

2553/1188 = 2.1489898989899

approximately. Focus just on the stuff to the left of the decimal point. That's the whole part of the answer.

We can then say: 2553-1188*2 = 177

This forms the numerator of the fractional part. The denominator stays at the LCD 1188

That forms the fraction 177/1188. Divide both parts of that fraction by 3 to fully reduce it. You should get to 59/396

-------------------

So that's how we end up with the mixed number 2 & 59/396

[tex]y = \frac{28}{5} [/tex]

Answer:

[tex]y=5.6[/tex] or [tex]y=28/5[/tex]

Step-by-step explanation:

4/5 = y/7

⇒ Cross multiply:

4 × 7 = 5 × y

⇒ Multiply 4 × 7 & 5 × y:

[tex]28=5y[/tex]

⇒ Solve the formed equation:

[tex]28=5y[/tex]

⇒ Move all the terms containing y to the right side and the other values to the left side:

⇒ Add '-5y' to each side of the equation:

[tex]28+-5y=5y+-5y[/tex]

⇒ Combine like terms: [tex]5y+-5y=0[/tex]

[tex]28+-5y=0[/tex]

⇒ Add '-28' to each side of the equation:

[tex]28+-28+-5y=0+-28[/tex]

⇒ Combine like terms: [tex]28+-28=0[/tex]

[tex]0+-5y=0+-28[/tex]

[tex]-5y=0+-28[/tex]

⇒ Combine like terms: [tex]0+-28=-28[/tex]

[tex]-5y=-28[/tex]

⇒ Divide each side by '-5':

[tex]y=5.6[/tex] or [tex]y=28/5[/tex]

hope this helps :)

Answer:

it's can be anything from 1 to infinite.

Answer:

[tex]a_{n}[/tex] = 2n + 5

Step-by-step explanation:

There is a common difference between consecutive terms, that is

9 - 7 = 11 - 9 = 13 - 11 = 15 - 13 = 2

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 2 , then

[tex]a_{n}[/tex] = 7 + 2(n - 1) = 7 + 2n - 2 = 2n + 5

Answer:

-2, -1, 0, 1, 2,

Step-by-step explanation

Divide the whole thing by 4.

You will have -2 [tex]\leq[/tex] n < 3

The only values that fit range from -2 to 2.

Answer:

Area = 4600m

explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step

Answer:

244280

Step-by-step explanation:

you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280

Answer:

83%

Step-by-step explanation:

Percentage of cars driven by man = total percentage - percentage of car driven by women

= 100-17

= 83%

Answer:

False

Step-by-step explanation:

3(2x - 1) = 6(1 + 1)

Distribute

6x -3 = 6(2)

6x -3 = 12

Add 3 to each side

6x  =15

x = 15/6

There is one solution

Answer:

False.

Step-by-step explanation:

3(2x - 1) = 6 (1+1)

3*2x - 3*1 = 6*2

6x - 3 = 12

Add 3 to both side

6x = 12+ 3

6x = 15

Divide both sides by 6

x = 15/6

x = 2.5

This equation has one solution

Answer:

Area = 97.4 cm²

Step-by-step explanation:

a = 15 cm

        [tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]

                 [tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]

Answer: one solution

this is all i know

Answer:

D

Step-by-step explanation:

Given

1 - [tex]\frac{1}{2}[/tex] (6x - 4) = 3(1 - x) ← distribute parenthesis on both sides

1 - 3x + 2 = 3 - 3x

3 - 3x = 3 - 3x

Since both sides of the equation are the same , then

This indicates the equation has infinitely many solutions.

Answer:

Circumference! it's the major arc whose starting and ending point coincide.

Answer:

Hope this helps.

Answer:

48

Step-by-step explanation:

(9*4) + (6*2)

36 + 12

= 48

Step-by-step explanation:

no:questions=15

correct questions =9

marks for correct answers =9×4=36

incorrect answers=6

marks for incorrect answers =(-2)×6=(-12)

full marks =36 - (-12)

=36 + 12

=48

Answer:

15000 cm^2

Step-by-step explanation:

Area is found by multiplying the length and width. 250 cm times 60 cm equals 15000 cm squared.

Step-by-step explanation:

by the given information it seems to be the chalkboard is rectangular so the area of rectangle is = length × breadth..

So, 250cm×60cm

=15,000cm² is the Area

Answer:

5 dollors i just tookthe test 4

Step-by-step explanation:

Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.

To find out how many oranges Arianna bought, we can use the given price of a bag of 4 oranges and the total amount she spent on oranges.

Let's set up a proportion:

Price of a bag of 4 oranges = $2.84

Amount Arianna spent on oranges = $3.55

Let "x" be the number of bags of oranges Arianna bought.

Since each bag contains 4 oranges, the total number of oranges she bought is 4 times the number of bags (4x).

Now, we can set up the proportion:

(Price of a bag of 4 oranges) / (Amount spent on oranges) = (Number of bags bought) / 4x

$2.84 / $3.55 = 1 / 4x

To solve for "x," cross-multiply:

$2.84 * 4x = $3.55 * 1

11.36x = 3.55

Now, solve for "x":

x = 3.55 / 11.36

x ≈ 0.3125

Since we can't buy a fraction of a bag, we round the value of "x" to the nearest whole number:

x ≈ 0 (rounded to the nearest whole number)

So, Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.

To know more about oranges:

https://brainly.com/question/28969541

#SPJ3

Answer:

4

Step-by-step explanation:

Answer:

positive charge...............

Answer:

Step-by-step explanation:

The diagonals of a rhombus divides it into four congruent right triangles.  Each triangle is a mirror image of the adjacent.

Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.

Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.

To summarize,

angle 1 = 33°

angle 2 = 57°

angle 3 = 57°

angle 4 = 33°

Answer:

[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)

[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)

[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)

[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)

[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)

Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

[tex]y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}[/tex] (1)

Where:

[tex]\Delta y[/tex] - Amplitude.

[tex]\omega[/tex] - Angular frequency.

[tex]x_{o}[/tex] - Phase shift.

[tex]y_{o}[/tex] - Vertical shift.

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

In addition, we know that the period associated with the sinusoidal function ([tex]T[/tex]) is:

[tex]T = \frac{2\pi}{\omega}[/tex]

By direct comparison, we get the following conclusions:

[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)

[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)

[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)

[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)

[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)

Step-by-step explanation:

everything can be found in the picture

Answer:

0, 0.5, 8/3, root 5, 3.1

Answer:

[tex] { ({x}^{2}. {y}^{6} )}^{ \frac{1}{8} } \\ {x}^{2 \times \frac{1}{8} } . {y}^{6 \times \frac{1}{8} } \\ = {x}^{ \frac{2}{8} } . {y}^{ \frac{6}{8} } \\ = {x}^{ \frac{1}{4} } . {y}^{ \frac{3}{4} } [/tex]