Bill went to the store to purchase new clothes for the upcoming school year. Bill purchased 8 shirts, 4 pairs of shorts, and 2 pairs of pants. If a single outfit consists of one shirt and either one pair of shorts or one pair of pants, how many outfits can Bill create with the clothes he purchased

Answer:

Step-by-step explanation:

I am assuming that by "interior" angle you do not mean the central angle.

This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.

Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:

180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.

Answer:

D

Step-by-step explanation:

The statement of congruency shows which vertices are corresponding.

Answer: D  

Answer:

y = [tex]1500(.932)^{t}[/tex]

Step-by-step explanation:

Answer:

its C, the u looking graph

Step-by-step explanation:

Now,

<2 = <3 [ vertically opposite angle]

Then,

<2 = <8 [corresponding angles]

Again,

<2 + <5 = 180° [straight angle]

◆ True A || B

I hope you understand...

Mark me as brainliest...

Answer:

True

Step-by-step explanation:

∠ 2 and ∠ 5 are same- side exterior angles and are supplementary, sum to 180°

Answer:

Step-by-step explanation:

Answer:

read below vv

Step-by-step explanation:

d = 5.00 - 4.25

d = 0.75

Answer:

Julie will get back 0.75 in change.

Step-by-step explanation:

d=4.25

5.00-d => 5.00-4.25 = 0.75

Hope this answered your question!

The highest temperature is 8.3, in which we call the max.

The lowest temperature is -8.2, which is the min.

Subtract those values to get the range.

Range = max - min = 8.3 - (-8.2) = 8.3 + 8.2 = 16.5

Answer:

X plus 8. Multiplied by 2

Step-by-step explanation:

You would follow PEMDAS

Hope this helps. :)

If I'm wrong please correct me.

Answer: Two times the sum of a number and eight.

Explanation: The x+8 portion translates to "the sum of a number and eight". Then we just stick "two times" in front of all that to basically say 2 times (x+8).

Answer:

I think the awnser is d!!!!!

Answer:

profit is 25%

Step-by-step explanation:

profit%=sp-cp/cp×100%

=350-280/280×100%

=0.25×100

=25%

Answer:

Pauls answer is not proportional

Step-by-step explanation:

You cannot make more money in an hour than you do in a day.

Hope it helps c:

Answer:

Y = 9

Cause the Sin30 = 0.5

and 9² + x² = 18²

324 - 81 = x²

x² = 243

x = 9 √3

The answer becomes "D"

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{16}{AC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

AC = 16[tex]\sqrt{2}[/tex] → C

The measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.

Given that, ∠45° and AB=16 cm.

We need to find the measure of side AC.

There are three steps:

Now, [tex]sin \ C=\frac{AB}{AC}[/tex] (∵ sinα=Opposite/Hypotenuse)

[tex]sin 45^{o} =\frac{16}{AC} \\[/tex]

[tex]\implies \frac{1}{\sqrt{2} } =\frac{16}{AC}[/tex]

[tex]\implies AC=16\sqrt{2}[/tex] cm

Therefore, the measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.

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Answer:

1.875 hours

Step-by-step explanation:

1/a + 1/b = 1/c  where a and b are the times alone and c is the time together

1/3 + 1/5 = 1/c

Multiply by 15c to clear the fractions

15c(1/3 + 1/5 = 1/c)

5c+3c = 15

8c = 15

Divide by 8

8c/8 = 15/8

c = 1.875 hours

3 rolls would cost $1.17.

There exists a direct proportion between two values when one exists as a multiple of the other.

In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.

If 7 rolls of tape cost $2.73,

Then 1 roll of tape would cost $2.73/7 = $0.39

Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17

Therefore, at same rate the 3 rolls of tape would cost $1.17.

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Time required for writing 2 pages = 1 day

So, time required for writing 1 pages

= 1 day/2

= ½ day

So, time required for writing 300 pages

= ½ day × 300

= (300/2) days

= 150 days

Answer:

150 days

Step-by-step explanation:

We can write a ratio to solve

2 pages    300 pages

----------- = ------------

1 day            x days

Using cross products

2x = 300

Divide by 2

2x/2 = 300/2

x = 150

150 days

Answer:

gdhduu e7urururuuru ryruurhtjtjjr rgrhrhuru3jriir ruruurhrbrb rurrurhr ururururuu44 yryryuruurjbrbr urhruurhhrhrhr hrhrhrhhrhrurhrh ryyru

p(x) × q(x)

= (3x² - x + 1) × (2x² + 3x - 2)

= 6x⁴ + 9x³ - 6x² - 2x³ - 3x² + 2x + 2x² + 3x - 2

= 6x⁴ + 7x³ - 7x² + 5x - 2

Answer:

AB = 5

BC = 12

AC = 13

Step-by-step explanation:

A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:

AB = CD = 12

AB = 12

BC = AD = 5

BC = 5

AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:

AC² = AD² + CD²

Plug in the values

AC² = 5² + 12²

AC² = 169

AC = √169

AC = 13

Answer:

Step-by-step explanation:

E2020

Answer:

Assuming that the quality (large vs. small) is the same, and PRICE is the main considerations... The $40 would be a better deal....

This reminds me of the old classic joke (told to me way back when , when I was 5 years old)... Which weighs more a ton of bricks, or a ton of feathers.....

I have to be honest being a five tear old the answer confused me, but I finally

figured it out... THEY BOTH WEIGH THE SAME AMOUNT !!!

Step-by-step explanation:

Mk

Answer:

x-3

Step-by-step explanation:

y = x+3

Exchange x and y

x = y+3

Solve for y

x-3 = y+3-3

x-3 = y

The inverse is x-3

Answer:

B. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side

Step-by-step explanation:

The orthocenter of a triangle is the point of concurrency of the three altitudes or extensions of the the altitudes of a triangle, each of which are perpendicular lines drawn from a vertex of the triangle to the side opposite the vertex

The type of concurrent construction needed to find the orthocenter of a triangle is the point of intersection of the perpendicular lines drawn from each vertex of the triangle, to the side opposite the vertex

Therefore, the correct option is option B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

Answer:

f(-6) = -12

Step-by-step explanation:

If you immediately plug in x=-6 and solve it (x^2-36)/x+6, you will not get the right answer.

You need to first expand the perfect square on the numerator (x^2-36) into (x-6)(x+6).

With the perfect square expanded, notice how you have the term (x+6) on both the numerator and denominator. You can cancel out both terms, and you will be left with (x-6).

Now you can plug in x=-6, which will give you -12.

Answer:

Step-by-step explanation:

taking the inverse is essentially saying

x = (f(x) + 3)^2

root(x) - 3 = f(x) and -root(x) -3 = f(x)

(you have to take both the positive and negative roots)

plug in 49 for x and get 4 and -10.

The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4

The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)

The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;

Taking the square root of both sides of the equation, we get;

√(f(x)) = √((x + 3)²)

√(f(x)) = (x + 3)

Subtracting 3 from both sides, we get;

√(f(x)) - 3 = x + 3 - 3 = x

√(f(x)) - 3 = x

The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;

The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x

When the output value is f(x) = 49 we get;

f⁻¹(49) = √(49) - 3 = ±7 - 3

Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;

f⁻¹(49) = 7 - 3 = 4

f⁻¹(49) = 4

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Answer:

f) 60+x+30=180°

90+x=180°

x=180-90

x=90°

g) y+35+75=180°

y+110=180

y=180-110

y=70°