I have 3 lemonades I drink 1, I give 1 to my sister and the third one, I leave it. How many do I have? (Easy)

What is the slope and y-intercept for the line represented by this equation? 5x+13y= -13

3241004551 [841]

In y = mx + b form, the slope will be in the m position and the y int will be in the b position. So, we need to put the equation in y = mx + b form.

5x + 13y = -13......subtract 5x from both sides
13y = -5x - 13...now divide both sides by 13
y = (-5/13)x -13/13
y = (-5/13)x - 1

so the slope is -5/13 and the y int is -1

3 0

2 years ago

Find the fifth roots of 243(cos 260° + i sin 260°)

Charra [1.4K]

<span>use De Moivre's Theorem:

⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)

= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)

= 3 (cos 52° + i sin 52°)

z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root

there are 5 roots so the angle between each root is 360/5 = 72°

then the other four roots are:

z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)

z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)

z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)

z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>

3 0

3 years ago

HELP!! PLEASE!! NEED DONE ASAP I WILL GIVE 100 POINTS AND MORE IF YOU CAN GET ALL 3 QUESTIONS DONE!! THANK YOU!! I WILL ALSO MAR

VARVARA [1.3K]

Answer:

I answered the questions but that formatting is very confusing and discourages anyone for trying to answer.

The last question is confusing. If I got it wrong, tell me. I will try to answer in the comment section then.

Step-by-step explanation:

Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and building B is 35 feet away. Which building is taller and by approximately how many feet?

$\text{tan}\theta=\frac{h_{A}}{30} \Rightarrow h_{A}=\text{tan}73\º \cdot 30 \Rightarrow h_{A}\approx 98.12 \text{ feet}$

$\text{tan}\theta=\frac{h_{B}}{35} \Rightarrow h_{B}=\text{tan}73\º \cdot 35 \Rightarrow h_{B}\approx 114.47 \text{ feet}$

$\text{Difference} \approx 16.35$

Building B is around 16.35 feet taller than building A.

A Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

$\text{sin}(y)=\frac{a}{6}$

$\text{tan}(y)=\frac{a}{b}$

a is the opposite side; 6 is the hypotenuse; b is the adjacent side.

Therefore,

$\text{cos}(y)=\frac{b}{6}$

If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX? triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees.

This seems a bit confusing. The angles don't match. We have $90\º+62\º +21\º \approx 173\º$

$\text{sin}(f)=0.888...$

$f \approx 62\º$

YX is the hypotenuse of the right triangle.

$\text{cos}(21\º)=\frac{24}{YX}$

$YX \approx 25.7$

Considering $f \approx 69\º$

$\text{sin}(69\º)\approx\frac{24}{YX}$

$YX \approx 25.7$

4 0

2 years ago

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Help please! I do not exactly understand how to do this. Thanks!

Radda [10]

X and Y are supplementary, that means X + Y = 180.

But we have, X = Y +24, then

X + Y = Y + 24 + Y = 2Y + 24 = 180

Then

2Y = 156

Y = 78

Then X = 78 + 24 = 102.

6 0

2 years ago

Which expression shows the result of applying the distributive property to 3(1/5x − 1/7)?

elena55 [62]

<span>The expression that shows the result of applying the distributive property to 3(1/5x − 1/7) is:

3/5(x) - 3/7

I hope my answer has come to your help. God bless and have a nice day ahead! Feel free to ask more questions here in Brainly.
</span>

4 0

2 years ago

Read 2 more answers