The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right
triangle is called the ___ of the angle.

A. sine
B. tangent
C. cotangent
D. secant

Answer:

4 is the length of a side.

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

4 units

Step-by-step explanation:

The area of a square is denoted by: A = s², where s is the side length.

Here, we know that the area is 16, so plug this in for A:

A = s²

16 = s²

s = √16 = 4

Thus, the side length is 4 units.

~ an aesthetics lover

Option B. is correct

Polynomial equation are equation of number independent variables having relationship with dependent variable.

Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.  
for example [tex]\sqrt[3]{x^3}[/tex] = x

Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.

Learn more about polynomial here:

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#SPJ2

Answer:

option B

Step-by-step explanation:

edge 2023

Answer:

25

Step-by-step explanation:

5 x3 is 15 and then add 10. im sure u know that but yea

Hey there! I'm happy to help! :D

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OVERVIEW

A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).

The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.

For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.

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MODULI

The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!

STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER

STEP 1: PLOT THE COMPLEX NUMBER

Let's use our complex number 4+3i. If we plot it, the point will be (4,3)

STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM

4²=16

3²=9

STEP 3: ADD THESE SQUARES

16+9=25

STEP 4: SQUARE ROOT IT

√25=5

Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.

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SOLVING THE PROBLEM

In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.

STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS

STEP 1: SQUARE THE MODULUS

√17²=17

STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER

Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17?  Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.

Let's see what squares exist that are less than seventeen.

1, 4, 9, 16

(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)

Which of these can we add to get 17?

Well, we can do 1 and 16, so this is our result so far.

STEP 3: SQUARE ROOT THE RESULTS

Now, we just find the square roots of what we found in the last problem!

√1=1

√16=4

STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER

We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!

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SOLUTION

Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.

4+i

-4+i

4-i

-4-i

1+4i

-1+4i

1-4i

-1-4i

You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!

I hope that this helps! Have a wonderful day! :)

Answer:

Engineers use the Pythagorean Theorem to figure out measurements of objects.

Step-by-step explanation:

(5x+2y=6)2

10x+4y=12

10x+4y=12 then substract

10x+4y=12

0=0 true so, it have infinite s/n

Answer:

48.048

Step-by-step explanation:

multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you

Answer:

m∠DEH= 128.6°

Step-by-step explanation:

∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.

This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.

Answer:

128.6

Step-by-step explanation:

GHJ= DEH

adjasent angle

Answer: Center (0, -8) and Radius = 2

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.

Answer: -70

Step-by-step explanation: hope I helped

Answer:

He sold 7 more small boxes than large boxes

Step-by-step explanation:

Let x be the no of small boxes sold .

Cost of 1 small boxes of oranges = $5

Cost of x small boxes of oranges = 5x

Let y be the no. of large boxes sold

Cost of 1 large boxes of oranges = $9

Cost of y large boxes of oranges = 9y

He sold 17 boxes in all total for 105

So,x+y=17 ---1

So,5x+9y=105 ---2

Substitute the value of x from 1 in 2

5x+9(17-x)=105

5x+153-9x=105

153-105=4x

[tex]\frac{153-105}{4}=x[/tex]

12=x

Substitute value of x in 1

12+y=17

y=17-12

y=5

Difference in no. of boxes = 12-5 = 7

So, He sold 7 more small boxes than large boxes

Answer:

50 ft2

Step-by-step explanation:

im not sure if this is right but this is what i got when i worked it out

Answer: [tex]150ft^2[/tex]

Step-by-step explanation:

length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]

width: [tex]5 in[/tex]

[tex]Formula: A=w*l[/tex]

[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]

Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.

[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]

[tex]\frac{1}{4}in^2 : 1ft^2[/tex]

Convert.

[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]

Invert the fraction in the denominator and multiply it by the numerator.

[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]

Answer:

figure ii

Step-by-step explanation:

counterclockwise is this way >>>

thus making figure 2 the version of circle A spun counterclockwise

Answer:

Step-by-step explanation:

389

Answer. 3/89

Step-by-step explanation:

HEY FREN

Answer:

The answer is 1.2 grams.

Step-by-step explanation:  So 1,000 milligrams is 1 gram.   So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

Answer:

must not be

Step-by-step explanation:

The whole thing equals 360 degrees

Angle B and Angle D are equal; which equals 190 degrees.

Add Angle A to 190 degrees; which is 86 + 190 = 276.

Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.

In order for this to be a parallelogram, the opposite angles need to be equal.

Since they are not, the answer is must not be.

Answer:

baseball my guy

Step-by-step explanation:QUICK MATHS

Answer: baseball is liked less

Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)

Answer:

Step-by-step explanation:

6x² + 40 = 31x

6x² - 31x + 40 = 0

6x² - 16x - 15x + (-5)*(-8) = 0

2x(3x - 8) - 5(3x -8) = 0

(3x - 8) (2x - 5) = 0

The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

From the question, the equation to calculate the nth term is given which is

an=15+6n.

Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.

For the first term, a1

n = 1,

From the given equation, an=15+6n

∴ a1 = 15 + 6(1)

a1 = 15 + 6

a1 = 21

∴The first term is 21

For the second term, a2

n = 2,

From the given equation, an=15+6n

∴ a2 = 15 + 6(2)

a2 = 15 + 12

a2 = 27

∴The second term is 27

For the third term, a3

n = 3,

From the given equation, an=15+6n

∴ a3 = 15 + 6(3)

a3 = 15 + 18

a3 = 33

∴The third term is 33

For the fourth term, a4

n = 4,

From the given equation, an=15+6n

∴ a4 = 15 + 6(4)

a4 = 15 + 24

a4 = 39

∴The fourth term is 39

Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

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Answer:

r: radius of balloon

V = (4/3)*pi*r^3 =  288000

=> r^3 = 288000*(3/4)/pi

=> r^3 = 68754.94

=> r = [tex]\sqrt[3]{68754.94}[/tex] = ~40.97 cm

Answer:

C. Outside the circle

I hope this helps

Answer:

if x+y=5, then x=5-y

so x-4y=-10

5-y-4y=-10

5-5y=-10

-5y=-15

y=3

x=5-y

x=5-3

x=2

x=2; y=3

Answer: 72 degrees

Step-by-step explanation:

Answer:

15.1

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

23^2 + b^2 = 27.5^2

529 +b^2 =756.25

Subtract 529 from each side

529-529+b^2 =756.25-529

b^2 =227.25

Take the square root of each side

b =sqrt(227.25)

b =15.07481343

To the nearest tenth

b = 15.1

Answer:

15.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

x three point shots: 8*3=24

x two point shots: 2*2=4

The point would Anthony score is : 24+4=28

I hope it'll help you much

Thank you for asking

Answer:

a.20

Step-by-step explanation:

20 is standing out from the rest of the numbers

Answer:

2/5*180=72

360/72=5

as simple as that you just need to read on polygons

Step-by-step explanation:

pls give me brainlyist

Answer:

A) The amount of gas they bought on each coast;

East Coast = 35 gallons

Mid-US = 100 gallons

West Coast = 15 gallons

B) The amount of gas they bought on each coast on the return journey;

East Coast = 37 gallons

Mid-US = 116 gallons

West Coast = 21 gallons

Step-by-step explanation:

Complete Question

Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast to $3 in the mid-US, to $5 on the west coast.

(a) If they used twice as much gas in the mid-US than on either coast combined, and they spend $515 on gas to purchased 150 gallons of gas, how many gallons of gas did they buy at each price?

The answer to this question is East Coast - 35 gal, Mid-US - 100 gal, West Coast - 15 gal.

(b) On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price? I don't know the answer to this one

Solution

Let the amount of fuel bought on the east coast = x gallons

Let the amount of fuel bought on the mid-coast = y gallons

Let the amount of fuel bought on the west coast = z gallons

a) - They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $515 on gas to purchase 150 gallons of gas.

Total gallons purchased = x + y + z = 150

Total amount spent = 4x + 3y + 5z = 515

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 150

3x + 3z = 150

Divide through by 3

x + z = 50 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 515

4x + 6x + 6z + 5z = 515

10x + 11z = 515 (eqn **)

x + z = 50

10x + 11z = 515

Solving the simultaneous equation,

x = 35 gallons

z = 15 gallons

y = 2x + 2z = 2(35 + 15) = 100 gallons

B) On the return journey, the ratio between x, y and z is still the same, but the total gallons and total amount spent is now different.

They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $601 on gas to purchase 174 gallons of gas.

Total gallons purchased = x + y + z = 174

Total amount spent = 4x + 3y + 5z = 601

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 174

3x + 3z = 174

Divide through by 3

x + z = 58 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 601

4x + 6x + 6z + 5z = 601

10x + 11z = 601 (eqn **)

x + z = 58

10x + 11z = 601

Solving the simultaneous equation,

x = 37 gallons

z = 21 gallons

y = 2x + 2z = 2(37 + 21) = 116 gallons

Hope this Helps!!!

Answer:

D. 4

Step-by-step explanation:

If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.

I hope this helped and have a good rest of your day!