Simplify the expression below as much as possible. (7-i) + (5+3i) - (-3 +2i)

Answer: 15.75°

Step-by-step explanation:

Supplementary angles simply refers to the angles that add up to 180°. The angles given in this case are 54° and 8x.

To find the value of x goes thus:

54° + 8x = 180°

8x = 180° - 54°

8x = 126°

x = 126°/8

x = 15.75°

Therefore the value of x is 15.75°

Answer:

ur steps would be 9*1*9  = 9^3

Step-by-step explanation:

Any number in the power of 0 = 1

Answer:

9^4

Step-by-step explanation:

Let's review the equation:

9 · 9^0 · 9^3

Anything to the power of 0 is equal to one, so 9^0 is one

That leaves us with 9 · 1 · 9^3

9 · 1 = 9

9^1 · 9^3 = 9^4

so..

9 · 9^3

Answer:

Here, we are given two positive numbers having HCF as 12 and their product as 6336. ... Hence, we get two pairs of numbers, (12 and 528) and (48 and 132). Therefore, the correct answer is option A.

Answer: C / 100 units^2

Step-by-step explanation:

The equation to calculate the area of a rhombus is

[tex]Area = \frac{ab}{2}[/tex]

In the picture, you are given a & b.

a equals the entire vertical line. So 5 + 5 = 10. 10 is a

b equals the entire horizontal line. So 10 + 10 = 20. 20 is b.

According to the equation you multiply a times b.

[tex]Area = \frac{(10)(20)}{2}[/tex]   10 x 20 = 200

200 divided by 2 equals 100

so the areas = 100

Answer:

2 and -3

Step-by-step explanation:

because a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

so in 2x-3y+5, 2 and -3 are the coefficients.

Answer:

The side lengths of the larger polygon are;

15 cm

20.625 cm

16.875 cm

9.375 cm

13.125 cm

Step-by-step explanation:

Firstly, we need to calculate the perimeter of the first polygon

Mathematically, we can get this by adding the side lengths together

We have this as;

5 + 7 + 8 + 11 + 9

= 40 cm

so we have the ratio of the lengths of both as;

75 cm/40 cm = 1.875

Now, we simply will multiply the lengths of the smaller polygon by 1.875

So we have the side lengths of the bigger polygon as;

1.875 * 5 = 9.375 cm

1.875 * 7 = 13.125 cm

1.875 * 8 = 15 cm

1.875 * 9 = 16.875 cm

1.875 * 11 = 20.625 cm

Answer: 233928.6902 ≈ 233929

Step-by-step explanation:

Given:

Number of miles covered = [tex]2\dfrac{1}{2}[/tex]

Length of each lap = [tex]\dfrac{5}{6}[/tex] of a mile.

To find:

The number of laps.

Solution:

We know that,

[tex]\text{Number of laps}=\dfrac{\text{Number of miles covered}}{\text{Length of each lap}}[/tex]

[tex]\text{Number of laps}=\dfrac{2\dfrac{1}{2}}{\dfrac{5}{6}}[/tex]

[tex]\text{Number of laps}=\dfrac{\dfrac{5}{2}}{\dfrac{5}{6}}[/tex]

[tex]\text{Number of laps}=\dfrac{5}{2}\times \dfrac{6}{5}[/tex]

[tex]\text{Number of laps}=3[/tex]

Therefore, Grayson ran 3 laps.

Answer:

C. The radii of both bases are the same.

Step-by-step explanation:

Answer:

× = 4.56 and y = 36.56

Step-by-step explanation:

Ayan sagot

Answer:

x=15.56    y=30.05

Step-by-step explanation:

SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse)

Answer:

the square root of 7 squared is 7 since the square roots cancels the square

Answer:

Are there any options?

and it's not A)

so B)

Step-by-step explanation:

Answer:

slope = - [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{5}{3}[/tex] x + [tex]\frac{3}{4}[/tex] ← is in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

Answer:

14.8 or round up to 15 burgers

Step-by-step explanation:

Answer: 99.2 m

Step-by-step explanation:

Given

The height of the flagpole is 35 m which is situated at 60 m

It is clear that the angle of elevation for the flagpole and building is the same, let say [tex]\theta[/tex]

from the figure, we can write

[tex]\Rightarrow \tan \theta=\dfrac{35}{60}=\dfrac{h}{170}\\\\\Rightarrow h=170\times \dfrac{35}{60}\\\\\Rightarrow h=99.166\approx 99.2\ m[/tex]

Thus, the height of building is 99.2 m

Answer:

The answer is c

Hope this helped :)

Answer:

4

Step-by-step explanation:

48/12 to get how many in each page

Answer:

pls give brainlist

Step-by-step explanation:

definitions

complement: either of two angles whose sum is 90°.

supplement: either of two angles whose sum is 180°.

i took a pic for problems 3-8, IM NOT A BOT.

Answer:

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere = [tex]\frac{4}3}[/tex][tex]\pi r^3[/tex]

= 4 * 3.14 * 3 * 3 *3 / 3

=  4 * 28.26

= 113.04 cm³

Answer:

20 feet

Step-by-step explanation:

Since the given side on the first triangle is 6 feet, and the corresponding side on the second triangle is 8 feet, the second triangle will have a perimeter 8/6 times the length of the first triangle. Multiply 15 by 8/6:

15*(8/6)=

15*8/6=

120/6=

20

lmk if im wrong, hope this helps :)

Answer:

25%

Step-by-step explanation:

Answer:

15/60 as a percentage is 25%

Step-by-step explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form. Now we can see that our fraction is 25/100, which means that 15/60 as a percentage is 25%. And there you have it!

Answer:

3/50 of a gallon

Step-by-step explanation:

50 / 1 = 3 / x

cross-multiply:

50x = 3

x = 3/50

Answer:

(random name) drinks 3/8 of the lemonade then later drinks 6/8 of the cranberry juice before (random name) goes to bed they put the lemonade and the cranberry juice together. How much is in the cup now?

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

[tex] \boxed{(6, -3)} [/tex]

Step-by-step explanation:

Given the ratio 5:3

and Points A and B where A is located at (-6, 3), and B is located at (26, -13).

Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].

(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].

(26, -13) → [tex] (x_{2}, y_{2}) [/tex].

Let 5 be n, and 3 be m.

5:3 → n:m

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].

To solve, just substitute these variables into the expressions of these coordinates to get the answer.

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →

[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →

[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →

[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →

[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →

[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]

→

[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]

→

[tex] (6, -3) [/tex].

Thus the coordinates of B are:

[tex] \boxed{(6, -3)} [/tex]

Answer:

Step-by-step explanation:

AB:BC::5:3

let the coordinates be (x,y)

[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]

coordinates of B are (14,3)

Answer:

>

Step-by-step explanation:

Answer:

-4x+8=42

-4x+8-8=42-8

-4x=34

-4x/-4=34/-4

x = -8.5

Answer:

C

Step-by-step explanation: