What conjecture can you make about the tangent of complementary angles?

Answer:

1) x=−y-2

2)x=−y+2

Step-by-step explanation:

Let's solve for x.

y=−x−2

Step 1: Flip the equation.

−x−2=y

Step 2: Add 2 to both sides.

−x−2+2=y+2

−x=y+2

Step 3: Divide both sides by -1.

x=−y−2

Let's solve for x.

3x+3y=6

Step 1: Add -3y to both sides.

3x+3y+−3y=6+−3y

3x=−3y+6

Step 2: Divide both sides by 3.

x=−y+2

Answer:

Koro-Sensei's class has 20 kids in it.

Step-by-step explanation:

This is simple.

Ex: 20-12 = 32

Answer: 2/3

Step-by-step explanation: 50/75

25 can go into both.

50 divided by 25 = 2

75 divided by 25 = 3

The annual percentage rate of the loan is approximately 913%. option c is correct.

The yearly interest earned by an amount charged to borrowers or paid to investors is referred to as the annual percentage rate.

APR is a percentage that indicates the real annual cost of money for a loan or investment over the period of the loan.

The amount borrowed =  $75

no of days =8 days

Fees charged = $15

The annual percentage is found as;

[tex]\rm r = \frac{final \ value}{initial \ value } -1 \\\ \rm r = \frac{f 90}{75 } -1 \\\\ r=0.20 \\\\[/tex]

If the rate of interest is  20% then the annually the rate is obtained as;

[tex]\rm r_{annual}= \frac{0.20}{8 \ days} \times \frac{365}{1 \ year} \\\\ \rm r_{annual}=913 /year[/tex]

Hence the annual percentage rate of the loan is approximately 913%. option c is correct.

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Answer:

C

Step-by-step explanation:

Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire.  She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?

a.

228%

b.

487%

c.

913%

d.

973%

C

Answer:

324 over x is the answer

Step-by-step explanation:

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The cost of each ticket as an expression is $324/x

Ratios are written as fractions. For instance a/b can be written as a:b.

If Suzie paid a total of $324 for x ticket to rock a festivel, this is expressed as;

$324 = x ticket

The cost of each ticket is given as;

y = 1 ticket

324/y = x/1

y = 324/x

Hence the cost of each ticket as an expression is $324/x

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By finding the area of the simpler parts, we will see that the total surface area of the figure is 348 ft^2

We can divide this in smaller parts. First, remember that for a triangle of base b and height h, the area is:

A = b*h/2

Then for each of the triangles in the image, the area is:

A = 8ft*3ft/2 = 12 ft^2

And we have two of these.

Then we have the base, a rectangle of 8ft by 10ft, with an area:

A' = 8ft*10ft = 80ft^2

Then we have the front and back sides, rectangles of 8ft by 4ft, with an area:

A'' = 8ft*4ft = 32 ft^2  (we have two of these).

Then the lateral sides, rectangles of 10ft by 4ft, with an area:

A''' = 10ft*4ft = 40ft^2  (we have two of these)

Finally, we have the top rectangles, of 5ft by 10ft, each with an area:

A'''' = 5ft*10ft = 50ft^2 (we have two of these).

Adding all the areas, we get:

Area  = 2*(12 ft^2 + 32 ft^2 + 40ft^2 + 50ft^2) + 80ft^2 = 348 ft^2

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Answer:

that would be the second option (-4,7)(-7,0)(-1,0)

Step-by-step explanation:

The answer is given away once you translate point S to the right 2 and down 3 making the point (-4,7) and there is only one answer with that point.

Answer:

5

Step-by-step explanation:

mean = average

5 + 5 + 7 + 5 + 4 + 4 = 30

30/6 = 5

The inequality represents x, and y, she can eat each week is,

490x+700y \leq 4000.

x be the number of microwave burritos

y be  the number of peanut butter sandwiches

we know that

[tex]490x+700y \leq 4000[/tex].........inequality that represents the situation

The mathematical expression in which the sides of an equation are not equal to each other.

we use a graphing tool

The solution is the shaded area

Please find  the attached figure

Therefore,the answer is 490x+700y \leq 4000

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If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.

The shape represented by the doghouse would be a pentagonal prism. If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

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Answer:

1750 m/s

Step-by-step explanation:

1km = 1000m

1 hour = 60 minutes = 3600 seconds

( 630 * 1000 )/ (60 * 60)

= 1750 m/s

Answer:

Step-by-step explanation:

Let me show you how to answer this question correctly.

A variable is P. Letters are represented as numbers by variables.

If you have fewer than that, you must subtract.

I hope this helps! Let me know if you have any questions.

Answer:

[tex]p - 3[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

3 fewer than p

This means that given a variable named p, we have 3 less than that so it can be simply displayed by p - 3.

Answer:  [tex]p - 3[/tex]

Answer: B) 9.6 inches

Step-by-step explanation:

       We will set up a proportion to solve. I will have the width of the model (in inches) as my numerator, and the height of the model (in inches) as the denominator.

-> To convert feet into inches, we multiply by 12.

       [tex]\displaystyle \frac{120}{144} = \frac{8}{x}[/tex]

       Cross multiply:

120 * x = 144 * 8

120x = 1,152

       Divide both sides of the equation by 120:

x = 9.6

9.6 inches

           The height should be B) 9.6 inches.

Answer:

cde

Step-by-step explanation:

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Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x - 4) ← distribute parenthesis by 5

y + 6 = 5x - 20 ( subtract 6 from both sides )

y = 5x - 26

Now y = f(x) , then

f(x) = 5x - 26

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x – 4)

Distribute

y +6 = 5x - 20

Solve for y

y +6-6 = 5x-20+-6

y = 5x - 26

Replace y with f(x)

f(x) = 5x - 26

Answer:

165

Step-by-step explanation:

V=BH

B=[tex]\frac{1}{2\\}[/tex]BH

V=([tex]\frac{1}{2}[/tex] x 5 x 6) x 11

V= ([tex]\frac{30}{2}[/tex]) x 11

V= 15 x 11

V= 165 f[tex]t^{2}[/tex]

Answer:

so the anwer is d 75

75

D

.......

Answer:

75

Step-by-step explanation:

i got it right

Answer:

26 metres

Step-by-step explanation:

(Assuming this is for the whole shape)

5 + 5 + 4 + 8 + 4

= 26 m

Answer:

1/2

Step-by-step explanation:

0.3 can be converted into 3/10. TO find out how much more of a quart of iced tea that Riley drank than her friend, we have to subtract the amount of iced tea that her friend drank from the amount that Riley drank.

8/10 - 3/10 = 5/10

Now, we have the opportunity to simplify the fraction. 5/10 is the same as 1/2. Therefore, Riley drank 5/10, or 1/2, more than her friend. I hope this helps! Have a lovely day!! :)

Answer:

Shown Below...

Step-by-step explanation:

6) 5.25% will be 5.25/100 = 0.0525
0.0525 x $333.75 = $17.5 (rounded)
$333.75 + $17.5= $351.25

7) 15% will be 15/100 = 0.15
0.15 x $16 = $2.4
$16 + $2.4 = $18.4

8) 20% will be 20/100 = 0.2
0.2 x $2800 = $560
Since it is off the original price, this will be subtraction.
$2800 - $560 = $2240 will be the sales price.
----------
8.25% will be 8.25/100 = 0.0825
0.0825 x $2240 = $184.8
$2240 + $184.8 = $2424.8 will be the total price including tax.

Step-by-step explanation:

Divide the solid into 2 cones.

SA of a cone

= πrl

l of cone 1

l² = r² + h²

l² = 9² + 12²

l² = 81 + 144

l² = 225

l = √225

l = 15cm

SA of cone 1

= πrl

= π × 9 × 15

= π × 135

= 135π

l of cone 2

l² = r² + h²

l² = 9² + 40²

l² = 81 + 1600

l² = 16081

l² = 126cm

SA of cone 2

= πrl

= π × 9 × 126

= π × 1134

= 1134π

SA of solid

= 135π + 1134π

= 1269π

A rectangular prism with volume of 315 cubic inches can be formed with length, width and height of of 9inches, 7 inches and 5 inches respectively

Volume of a rectangular prism = lwh

where

Therefore,

volume of the rectangular prism = lwh

315 = lwh

315 = 9 × 7 × 5

Therefore, a  rectangular prism with volume of 315 cubic inches can be formed with length, width and height of 9inches, 7 inches and 5 inches respectively.

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Answer:

B) 333.

Step-by-step explanation:

The discriminant of ax^2 + bx + c = 0

is b^2 - 4ac

So here we have:

(-9)^2 - 4*7*-9

= 81 + 252

= 333.

Answer:

A. square root of a^2 + b^2 for both answers

Step-by-step explanation:

The first problem, we are given

a^2 + b^2 = c^2

What we do is solve for c.

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

For problem 2,

WE can apply the Pythagorean theorem because we have a right triangle.

The equations is

a^2 + b^2 = c^2 like the first problem

Solving gets us

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

= 1 × 3 × 4 × 4 × 4

= 1 × 3 × 64

= 3 × 64

= 192

Easy peasy...

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

Epsilon-Delta defines a limit at a finite point that has a finite value.

To find the limit, two variables, delta (δ) and epsilon (ε) are first created then the epsilon region is choosen so as to define a delta region.

[tex]\lim_{x \to 2} x+1=2+1=3[/tex]

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

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Answer:

option d

Step-by-step explanation:

36+15+15+15+15

I hope it helped you

Answer:

A = 15 units²

Step-by-step explanation:

Count the squares:

AB (height) = 6 units

CB (base) = 5 units

A = bh/2

A = (5)(6)/2

A = 30/2

A = 15 units²

I hope this helps!

Answer:

184π units²

Step-by-step explanation:

see attached for reference

given sloped height = 15 units

base radius = 8 units

the height of the cone can be found by using the Pythagorean equation

(sloped height)² = height ² + (base radius)²

15² = h² + 8²

h² = 15²-8² = 161

h = √161

Base surface area = πr² = π 8² = 64π units²

Lateral Surface Area,

= πr √(r² + h²)

= π(8) √[  (8)²  + (√161)²  ]

= 8π√(64 + 161)

= 8π√225

= 8π (15)

= 120π

Surface area = base area + lateral surface area

= 64π + 120π

= 184π units²

Answer:

Step-by-step explanation:

Surface Area of a cone : πrl + πr² = πr(l + r)

Solving