An angle measures 30 degrees.

What is the measure of its complement (i.e., the complementary angle)?

The science quiz has a higher percentage of correct answers.

To determine which quiz has a higher percent of correct answers, we need to calculate the percentage of correct answers for each quiz.

Science Quiz:

Math Quiz:

Comparison

The science quiz has a higher percentage of correct answers (76%) compared to the math quiz (75%).

[tex]\text{Simple interest formula:}\\\\A=P(1+rt)\\\\\text{Plug in your given values:}\\\\A=12,500(1+0.04(3))\\\\\text{Solve:}\\\\A=12,500(1+0.04(3))\\\\A=12,500(1+0.12)\\\\A=12,500(1.12)\\\\A=14,000\\\\\boxed{\$14,000}[/tex]

Sophia will earn $14, 000 in interests after 3 years.

The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

We have,

Sophia invests $12,500 in an account.

R= 4%

Time= 3 years

So, Amount = P(1+ rt)

A = 12500 (1 + 0.04(3))

A = 12500 ( 1 + 0.12)

A = 12500 + 1.12

A = $14, 000

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Factoring out in algebra simplifies expressions such as quadratic equations into products of binomials or linear factors, sometimes using complex coefficients to achieve this if necessary.

The process of factoring out involves finding the numbers or expressions that divide evenly into the original expression. In the case of quadratic expressions like [tex]x^2 - 3x - 10[/tex], we look for two binomials that multiply together to give us the original quadratic. In algebra, a common method of factoring is looking for two numbers that multiply to give the constant term (in this case -10) and add up to the coefficient of the middle term (in this case -3). These two numbers are the factors of -10 that we use to split the middle term.

For example, the factors of -10 that add up to -3 are -5 and 2. Using these numbers, we can write [tex]x^2 - 3x - 10[/tex] as (x - 5)(x + 2). This is called factoring by grouping, wherein we factor common terms out of pairs of terms and then factor further if possible.

In the context of complex numbers, all second-order polynomials can be factored into linear factors. For instance, [tex]x^2 + 1[/tex] can be factored as (x - i)(x + i), utilizing complex roots i and -i. The fundamental theorem of algebra assures us that any polynomial can be factored completely into linear factors using the complex number system.

Answer: The cost of the trampoline cover would be $339.12

Step-by-step explanation: The radius of the trampoline is 4 feet (Diameter divided by 2 equals radius).

The trampoline cover will effectively cover the entire area of the trampoline and the area is given as

Area of circle = πr²

Area of circle = 3.14 x 4²

Area of circle = 3.14 x 16

Area of circle = 50.24 square foot

However the material costs $6.75 per square foot, which means the total cost of the trampoline cover would be derived as

Total area x cost per square foot = cost of trampoline cover

50.24 x 6.75 = Cost of trampoline cover

$339.12 = Cost of trampoline cover

Answer:  The cost of the new trampoline cover is $339.29

Step-by-step explanation:

Hi, we have to calculate the area of the trampoline cover.

Since it has a circle form with a 8 ft diameter.

Area of a circle = π r^2

Since the radius (r) is equal to the diameter (d) divided by 2

R = d/2 = 8/2 =4

Replacing in the formula:

A = π 4^2 = 50.26 square ft

Since the material cost 6.75 per square foot

Cost = 6.75 x 50.26 = $339.29

Answer:

x = 109

Step-by-step explanation:

In pentagons, the total degrees for the interior angles is always 540 degrees.

540 = 91 + 160 + 100 + 80 + x

540 = 431 + x

109 = x

I hope this helped!

Answer:

4

Step-by-step explanation:

Answer:

The answer is C. (2,1)

Step-by-step explanation:

Answer:

(13×14×6)/3= 364 centimeter cube

I answered wrongly cuz forgot to divide by 3

my mistake

Answer:

4263m^3

Step-by-step explanation:

So for number 2, that is a right rectangular pyramid. The formula is lwh/3.

The length is 21, the width is 21, and the height is 29. So the volume is 4263.

Answer:

it would be 0.25

Step-by-step explanation:

I think the answer would be 0.19

(Hope this helps!)

Answer:

D x+9 = 2x+1

Step-by-step explanation:

y = x+9

y = 2x+1

Substitute x+9  for y in the second equation

y = 2x+1

x+9 = 2x+1

This answers the question

To finish the problem

Subtract x from each side

x+9-x =2x-x+1

9 = x+1

Subtract 1 from each side

9-1 =x+1-1

8=x

Now find y

y = x+9

y = 8+9

y=17

I hope this helps you

x^2+2.(-3).x+(-3)^2

(x-3).(x-3)

(x-3)^2

Answer:

BC = 15.01

Step-by-step explanation:

Solve this question using a trigonometry ratio, which you can remember them all with SohCahToa, which says:

sinθ = opp / hyp

cosθ = adj / hyp

tanθ = opp / adj

θ means the "angle of reference" (angle we are talking about).

In this problem, θ is A = 65°,

To decide which trig. ratio to use, find out which sides we want to use. We will use AC = 7 because we know it.

We also use BC because we need to find it.

In relation to ∠A or θ, AC is adjacent and BC is opposite.

The ratio with adjacent and opposite is tangent.

tanθ = opp / adj              Substitute the variables for this question

tanA = BC / AC               Substitute the values you know

tan65° = BC / 7               Rearrange this and isolate C

BC = 7tan65°                  Multiply 7 and tan65 to find the missing side

BC = 15.011548......          Exact answer on your calculator

BC ≈ 15.01                       Round to nearest hundredth

Multiply equation B by 3 and add the result to

equation A.

Option 2 is correct

Multiply equation B by 3 and add the result to A

When we are given two equations we can solve them by eliminating one variable, and equating the value of one variable to another or by using a matrix.

If we want to eliminate y in the given equation we will, LCM of (9,3) is 9 we can multiply B by 3 and add to A.

Hence Option 2 is correct.

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Answer:

1/6

1/6

1/36

Independent

Step-by-step explanation:

Make a chart with 36 outcomes of a pair of six sided dice.

Count the amount that starts with 4, which is 6. 6/36 = 1/6

Doubles. Count the pairs, basically both numbers are the same. 6 outcomes out of total is 1/6.

Last one.

(1/6)^2 = 1/36

These are independent, because the first die landing on 4 doesn't have anything to do with making the die becoming doubles.

Answer:

$260

Step-by-step explanation:

you multiply $65 by 4 for the set of four and the product is $260.

Answer:

A set of 4 tires cost $260.

Step-by-step explanation:

It is given that each tire is sold for $65. In order to find a set of 4 tires, you have to multiply it by 4 :

1 tire = $65

4 tires = $65×4

= $260

The difference between the area of the large pizza (20-inch diameter) and the small pizza (12-inch diameter) is about 201.06 square inches. We calculated this by finding the area of each pizza using the formula for the area of a circle, and then subtracted the smaller area from the larger.

The subject of this question is Mathematics, specifically the concept of area for circles. To calculate the difference between the areas of the two pizzas, we first have to find the area of each pizza individually.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle. For the large pizza with a diameter of 20 inches, the radius is 20/2=10 inches, so its area would be A = π * (10^2) = 314.16 square inches.

For the smaller pizza with diameter of 12 inches, the radius is 12/2 = 6 inches. So, the area of the small pizza is A = π * (6^2) = 113.10 square inch.

Now, to get the difference between the two areas, we subtract the smaller area from the larger area: 314.16 square inches - 113.10 square inches = 201.06 square inches. This is the difference between the area of the large pizza and the small pizza.

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Answer:

15

Step-by-step explanation:

An isosceles triangle has equal base angles.

Hence,

[tex] 3x=5x-30\\

\implies 30=2x\\

\implies x=15[/tex]

Answer:

C

Step-by-step explanation:

Well all triangles need to be equal to 180°. When you substitute a, b, and d in for x, the result are bigger than 180 not including the 3rd angle. With C the angles equal 45° and 45° angle which leave the appropriate sized angle for the 3rd angle at 90°. So x is equal to 15.

Answer:

m=16

n=-7

Step-by-step explanation:

Answer: n=-7, m=16

Step-by-step explanation:

Answer: The correct answer is 74˚

Answer:

Step-by-step explanation:

x^4+0.5y^3=2^4+0.5x4^3

=16+0.5x64

=16+32

=48

The final simplified expression is 2 over the square root of 5, represented as  [tex]\( \frac{2}{\sqrt{5}} \).[/tex]

Let's break it down step by step:

1. Simplify the square roots:

[tex]- \(\sqrt{4}\) equals 2 because \(2 \times 2 = 4\). So, \(\sqrt{4} = 2\).[/tex]

  - We have [tex]\(\sqrt{5}\)[/tex] in the denominator, which cannot be simplified further because 5 is a prime number and doesn't have any perfect square factors.

2. Substitute the simplified square roots:

  - After simplifying [tex]\(\sqrt{4}\)[/tex] to 2, the expression becomes [tex]\(\frac{3 \times 2}{3\sqrt{5}}\).[/tex]

3. Cancel out the common factor:

  - Both the numerator and the denominator have a factor of 3. So, we can cancel out 3 from both sides:

[tex]\[\frac{3 \times 2}{3\sqrt{5}} = \frac{2}{\sqrt{5}}\][/tex]

4. Final simplification:

  - The expression [tex]\(\frac{2}{\sqrt{5}}\)[/tex] is simplified as far as it can go because the square root of 5 cannot be simplified further.

So, the simplified expression is [tex]\(\frac{2}{\sqrt{5}}\).[/tex]

Answer:

136

Step-by-step explanation:

15 plus 2 is 17,then multiplied by 8

the answer is B: 24

i know it

Answer:

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

  population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

  (initial population) = 400

  (growth factor) = 800/400 = 2

  (growth period) = 2 . . . . hours

So, our population function can be written as ...

  P(t) = 400×2^(t/2)

__

2) Putting t=8 into the formula, we get ...

  P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

__

3) Fill in the given number and solve for t.

  2270 = 400×2^(t/2)

  2270/400 = 2^(t/2)

Taking logs, we have ...

  log(227/40) = (t/2)log(2)

  t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

Answer:

You are winning

Step-by-step explanation: If you drop in $2 a day for 10 weeks you have spent $20. You have won $75 from the slots which leaves you with a gain of $55.

Answer:

A polyhedron is a solid shape with flat sides, while a non polyhedron is a solid shape which has curved sides.

Step-by-step explanation:

A polyhedron, can be seen as a solid shape with many plane figures, forming its sides. Examples of polyhedrons are cuboids, squares and pyramids. As you can see, these solid shapes have flat sides.

On the  other hand, a non polyhedron is a solid shape that has curved surfaces. Examples include: cones, spheres and cylinders.

Hence polyhedron: No curved surface

Non polyhedron: curved surface

Final answer:

Polyhedral solids are composed of flat polygonal faces and have geometrically regular shapes, while non-polyhedral solids can have curved surfaces and irregular shapes, such as spheres and cylinders.

Explanation:

Differences Between Polyhedral and Non-Polyhedral Solids:

Solids that are polyhedra have flat faces, straight edges, and sharp vertices. Polyhedral solids are a category of solids composed of polygons that are joined together at their edges and vertices. The most common examples of polyhedra include cubes, pyramids, and prisms. These solids have a geometrically regular shape and are often symmetrical.

In contrast, solids that are not polyhedra may have curved surfaces, and irregular shapes, and do not consist exclusively of flat polygonal faces. Common examples of non-polyhedral solids include spheres, cylinders, and cones. These shapes are not limited by flat surfaces and can have continuous curved surfaces.

While polyhedral solids can be easily mathematically described by the polygons that comprise their faces, non-polyhedral solids often require more complex geometry, such as calculus, to describe their curved surfaces.

Answer:

20% black marble 30% red marble

Final answer:

The probability of not drawing a black marble is 4/5. The probability of drawing a red marble is 3/10.

Explanation:

To find the probability of not drawing a black marble, we need to find the ratio of the number of marbles that are not black to the total number of marbles. In this case, there are 5 blue marbles and 3 red marbles, so the total number of marbles is 5 + 2 + 3 = 10. The number of marbles that are not black is 5 + 3 = 8. Therefore, the probability of not drawing a black marble is 8/10 or 4/5.

To find the probability of drawing a red marble, we need to find the ratio of the number of red marbles to the total number of marbles. In this case, there are 3 red marbles out of a total of 10 marbles. Therefore, the probability of drawing a red marble is 3/10.

Answer:

18

Step-by-step explanation:

mode is the number that occurs the most

Answer:

18

Step-by-step explanation:

I just identified the numbers and saw 18 the most