What is the slant height x of the square pyramid?

The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of the lateral edge is 8 meters. The lateral edge makes a 60 degree angle with the base edge

Enter your answer in the box. Express your answer in radical form.

x = m

Answer:

180.48[tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle = bh

Area of a circle = π[tex]r^{2}[/tex]

Rectangle = 8 x 10 = 80

Circle = 3.14([tex]8^{2}[/tex]) = 200.96

But because it's a hlaf circle, divide the number by 2

100.48

Now add the numbers together

180.48[tex]ft^{2}[/tex]

Answer:

k  =  y/x

as a fraction for both

Answer:I'm not sure how euros work but I'm almost certain there are 18 20p coins

Step-by-step explanation:

Answer:

What does that P suppose to mean and where are your answer choices?

Step-by-step explanation:

Answer:

  (b)  $880

Step-by-step explanation:

You want the cost of an 8-inch by 11-inch ad at the rate of $10 per square inch.

The area of the ad is the product of its dimensions:

  A = LW

  A = (11 in)(8 in) = 88 in²

The cost is $10 for each of those square inches:

  ($10/in²)×(88 in²) = $880

The cost of the full-page ad is $880, choice B.

Answer:

Hope this answers the question.

Step-by-step explanation:

Factoring a number: If you use the number 10, for example, you have to find all the factors to factor it. 1, 2, 5, 10.

Factoring a trinomial: If you use the trinomial x^2 + 16 + 64, for example, to factor it you need to first find what numbers multiply up to 64 and also add up to 16. In this case, those numbers are 8, and so you get (x + 8)^2.

Final answer:

Factoring a number involves breaking it down into its prime factors, a straightforward process within the real number system. Factoring a trinomial, particularly in algebra, requires finding binomials that, when multiplied, return the original trinomial and can extend to complex numbers, guided by the fundamental theorem of algebra.

Explanation:

Factoring a trinomial and factoring a number are two very different processes within the realm of mathematics. When we talk about factoring a number, we refer to breaking it down into its prime factors, which are the prime numbers that multiply together to give the original number. For instance, factoring the number 10 would give us 2 and 5, since 2 x 5 = 10. This process is straightforward and applies to the number system.

On the other hand, factoring a trinomial involves finding two binomials that, when multiplied together, result in the original trinomial. This is more commonly encountered in algebra, especially when dealing with second-order polynomials (quadratics). For example, factoring the trinomial x² + 5x + 6 involves finding two binomials (x + 2) and (x + 3), since (x + 2)(x + 3) = x² + 5x + 6. Furthermore, factoring trinomials can extend into complex numbers where every nth-order polynomial can be factored into n linear factors in the complex number system, according to the fundamental theorem of algebra.

In summary, factoring a number focuses on prime factorization within the real number system, while factoring a trinomial involves algebraic manipulation that can extend into handling complex numbers and requires an understanding of both real and complex number systems.

Answer:

[tex]\text{(h, f(h)) where h=} \dfrac{x_1+x_2}{2}\\[/tex] ,  ([tex]x_1,x_2,[/tex] zeros of the polynomial)

Step-by-step explanation:

Given the zeros of a polynomial, [tex]x_1\: and \:x_2[/tex], to determine the vertex, follow these steps.

Find the equation of symmetry x=h where [tex]h=\dfrac{x_1+x_2}{2}[/tex]

Substitute the value of h into the quadratic function f(x) to find the maximum of minimum point.

Therefore, the coordinate of the vertex will be:

 [tex]\text{(h, f(h)) where h=} \dfrac{x_1+x_2}{2}[/tex]

Answer:

y = 5x - 18

Step-by-step explanation:

Points:

Equation of the line:

y = ax + b

(5; 7) and (8; 22)

(5; 7)

7 = 5a + b

(8; 22)

22 = 8a + b

a and b are the same values:

{- 5a - b = - 7

{8a + b = 22

3a = 15

a = 5

5a + b = 7

5.5 + b = 7

25 + b = 7

b = 7 - 25

b = - 18

Equation:

y = 5x - 18

I Hope I've helped you.

Final answer:

The slope-intercept form equation of the line that passes through the points (5, 7) and (8, 22) is y = 5x + 18, found by first calculating the slope and then using the point-slope form to solve for y.

Explanation:

To find the slope-intercept form of the equation of the line that passes through the points (5, 7) and (8, 22), we first need to calculate the slope (m). The slope is given by the formula:

m = (y2 - y1) / (x2 - x1)

Using our points, this becomes:

m = (22 - 7) / (8 - 5) = 15 / 3 = 5

Now, we use one point and the slope in the point-slope form of the equation, y - y1 = m(x - x1), which becomes:

y - 7 = 5(x - 5) => y - 7 = 5x - 25

Solving for y to get the slope-intercept form, y = mx + b:

y = 5x + (25 - 7) = 5x + 18

So, the correct slope-intercept form equation of the line is y = 5x + 18.

Answer:

1.8333

Step-by-step explanation:

12x-2=20

Add 2 to both sides:

12x=22

Divide both sides by 12:

[tex]x=\frac{22}{12}\approx 1.8333[/tex]

Hope this helps!

Answer:

(-4y,+12y), (z,19z)

Step-by-step explanation:

i got the same question.

Answer:

0.942 ft/s

Step-by-step explanation:

The rate of descent is the rate at which the hot air balloon is descending, that is, how fast it is descending.

We calculate this by finding how far it has moved and then dividing it by the time it took it to descend.

It moved from 5275 ft to 3128 ft. The displacement is:

5275 - 3128 = 2147 ft

The time taken is 38 minutes. In seconds, it is:

38 * 60 = 2280 seconds.

Therefore, the rate of descent is:

2147 / 2280 = 0.942 ft/s

Answer:

B

Step-by-step explanation:

You have to evaluate the power and calculate the sum or difference in order to get the answer

Answer:

negative,1800 feet , y=16.25x+1,800

Step-by-step explanation:

The correlation, y-intercept, and equivalent representations of given points all depend on the data's plot on the graph. The correlation is classified as positive, negative, or none based on the scatter pattern of points. The y-intercept is where the line intersects the y-axis, and it could be any of the provided options. The equation representing the line of best fit depends on the slope (gradient) and y-intercept of the line.

Without the actual data points, it's hard to definitively answer, but I'll provide some general guidance. The correlation of data points can be categorized as positive, negative, or none depending on how they are scattered on the graph. A positive correlation means as one variable increases, the other increases too, while a negative correlation means as one variable increases, the other decreases. When there's no pattern to the points, the correlation is none.

In terms of y-intercept, it's the point where the line crosses the y-axis. If we assume y-intercept as one of the options provided, e.g. 800 feet, 1200 feet, 1800 feet, and 2200 feet, it depends on how the line fits on the graph.

Similarly, the equivalent representation like Y=800 or Y=-17.5x+2200, Y=-16.25x+1800, or Y=-6.25x+1200 is dependent on the actual pattern of the data points. These representations are equations of straight lines where '-17.5', '-16.25', and '-6.25' represent the slope and '2200', '1800', '1200' respectively are the y-intercepts.

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Answer:

(a)Time taken to reach the ground, x=6 seconds

(b)Maximum height of the arrow during its flight =101.25 feet

Step-by-step explanation:

Given the quadratic function which models the flight of the arrow:

[tex]y=-5x^2+15x+90[/tex]

Where:

(a)Positive Zero

[tex]-5x^2+15x+90=0\\-5(x^2-3x-18)=0\\-5(x^2-6x+3x-18)=0\\-5(x(x-6)+3(x-6))=0\\-5(x+3)(x-6)=0\\x+3=0\:or\:x-6=0\\x=-3,x=6[/tex]

In 6 seconds, the arrow will hit the horizontal plane, i.e. the ground.

(b)

[tex]y=-5x^2+15x+90\\y-90=-5(x^2-3x)\\y-90-5(\frac{9}{4}) =-5(x^2-3x+(\frac{3}{2} )^2)\\y-101.25=-5(x-\frac{3}{2} )^2\\y=-5(x-\frac{3}{2} )^2+101.25[/tex]

Comparing with the vertex form:

[tex]y=a(x-h)^2+k[/tex]

Our vertex, (h,k)=(1.5, 101.25)

Maximum Value of y=101.25

The maximum value of y represents the maximum height of the arrow during its flight, which is 101.25 feet.

Answer:

80 inches

Step-by-step explanation:

Pythagorean theorem

Answer:

x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0.

Step-by-step explanation:

x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0. Use the quadratic formula to find the solutions. −b±√b2−4(ac)2a - b ± b 2 - 4 ( a c ) 2 ...

Answer:

x=3/2 ±  √37/2

Step-by-step explanation: the answer

A probability close to 1 indicates a chance event is very likely to occur. The probability of such an occurrence is a number. The correct option is option A.

The probability of such an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it really is represented by a value between 0 and 1, or between 0% and 100%.

The odds of two complementing events A and B happening, either A happens or B happens, sum up to 1. outcomes are complimentary, the likelihood of "heads" is equal to the likelihood of "tails," and the likelihood of any one of the two possible outcomes is equal to half. A probability close to 1 indicates a chance event is very likely to occur.

Therefore, a probability close to 1 indicates a chance event is very likely to occur. The correct option is option A.

To know more about probability, here:

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Step-by-step explanation:

Hope it helps.

Please rate and mark as brainlist.

Answer:

I'm not sure

Step-by-step explanation:

sorry

Answer:

514 feet

Step-by-step explanation:

Just simply use the pythagorean thereom:

a^2 +b^2 = c^2 (or if you are a nerd (a+bi)(a-bi) = c^2)

plug in the values of a, b, and c with the side lengths of the triangle:

x feet, 64 feet, and x+4 feet

x^2 +64^2 = (x+4)^2 , thus x =510

the hypotenuse = x+4 feet = 510 + 4 = 514

ANSWER: 514 feet

Answer:

A

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

i took the test

Answer:

Answer is x = 100 degrees.

Step-by-step explanation:

Vertically opposite angles are equal.

Then value of x is 100 degrees.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Step-by-step explanation:

[tex]x = 100 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The answer would be 13.3.

Step-by-step explanation:

Use the Pythagorean theorem to find the other distances in the 5, 3, x triangle and the 7, 3, y triangle and add those two answers together plus 3 to get your answer.

Answer:

13.3 kilometers

Step-by-step explanation:

You need to use Pythagorean theorem for x+3+y.

The distance you would be looking for is 4+3+6.3=13.3

Answer:

what is the question

Step-by-step explanation:

plsss give brainliest

The correct answer is  Calvin is correct because he correctly applied the quotient of powers rule.

The correct option is (D).

Calvin is correct because he correctly applied the quotient of powers rule.

According to the quotient of powers rule, [tex]\( \frac{a^m}{a^n} = a^{m - n} \).[/tex]

So, in this case:

[tex]\[ \frac{r^{-5}s^{-3}}{r^8s^{-2}} = r^{-5 - 8}s^{-3 - (-2)} = r^{-13}s^{-1} \][/tex]

Then, when you raise this expression to the power of -4:

[tex]\[ (r^{-13}s^{-1})^{-4} = r^{-13 \times -4}s^{-1 \times -4} = r^{52}s^4 \][/tex]

Nadine's approach would result in:

[tex]\[ \left( \frac{r^{-5}s^{-3}}{r^8s^{-2}} \right)^{-4} = \left( \frac{e^{-20}s^{-12}}{r^{32}s^8} \right) \][/tex]

Which is incorrect.

So, the correct answer is D. Calvin is correct because he correctly applied the quotient of powers rule.

complete question given below:

Nadine and Calvin are simplifying the expression ( (r^(-5)s^(-3))/r^8s^(-2) ). Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power (e^(-20)s^(-12))/r^(32)s^8 . Calvin claims the first step to simplify the expression is to apply the quotient of powers to get (r^(-13)s^(-1))^-4.

Who is correct and why?

A.Nadine is incorrect because she should have applied the quotient of powers rule first.

B.Nadine is correct because she correctly applied the power of a product rule.

C.Calvin is incorrect because he should have applied the power of a product rule first.

D.Calvin is correct because he correctly applied the quotient of powers rule

Answer & Step-by-step explanation:

[tex]K(5,4)[/tex]

Remember this:

[tex](x,y)[/tex]

[tex](5_{x},4_{y})[/tex]

When you are going to graph a point, you always start along the x-axis (the horizontal), then you move on to the y-axis (vertical). Both of the numbers in K are positive, so we will stay in Quadrant I.

For x, starting at (0,0) move to the right to point 5. From here, move up to the line that has value 4. Mark this spot with a dot and label if needed.

*If the x value is positive, you move to the right. If it is negative, you move to the left.

If the y value is positive, you move up. If it is negative, you move down.

Final answer:

To graph point K at (5,4), draw axes, locate 5 on the x-axis, 4 on the y-axis, and mark the point at the intersection.

Explanation:

To graph point K at (5,4), you start by drawing a set of perpendicular lines representing the x-axis (horizontal) and y-axis (vertical), usually with arrows on each end to indicate that they extend infinitely.

Each axis should be marked with evenly spaced intervals. Locate the number 5 on the x-axis (the horizontal axis) and then move vertically until you're level with the number 4 on the y-axis (the vertical axis).

Plot point K at the intersection of these two points.

This gives you the coordinates of point K where the first number in the parentheses is the position on the x-axis and the second number is the position on the y-axis.

Answer: B

Step-by-step explanation:

Answer:

View answer in the photo.

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a Compound interest problem with a decreasing rate. It is given by the formula:

A = P(1 +/- R)^T

Where A = amount after time T

P = principal or initial amount

R = rate of increase or decrease

T = time elapsed

There's +/- because + is used in the case when the amount is increasing at a particular rate and - is used whe the amiunt is decreasing.

In 2000 there were 5,400 birds and the number of birds is decreasing by 3% (0.03) every year.

The number of birds, y, that will be there x years after 2000 will be:

y = 5400( 1 - 0.03)ˣ

2025 is 25 years ahead of 2000, so x = 25

Therefore, the number of birds in 2025 will be:

y = 5400(1 - 0.03)^25

y = 5400(0.97)^25

y = 5400 * 0.467

y = 2522 birds

There will be 2522 birds in 2025.

The equation to represent the number of birds after x years is y = 5,400(1 - 0.03)^x. To find the number of birds in 2025, we use x = 25 in the equation to get y ≈ 3,295 birds.

To write an equation that represents the number, y, of birds x years after 2000 with a yearly decrease of 3%, we use the formula for exponential decay, which is y = a(1 - r)^x. Here, a is the initial amount, r is the rate of decrease, and x is the number of years since 2000.

In this case, the initial number of birds in 2000 was 5,400, so a = 5,400, and the rate of decrease is 3%, meaning r = 0.03. The equation becomes y = 5,400(1 - 0.03)^x.

To find out the number of birds in 2025, we calculate x as the number of years from 2000 to 2025, which is 25 years. Thus, the calculation results in y = 5,400(1 - 0.03)^25. After solving, we round the result to the nearest whole number.

Performing the calculation, y ≈ 3,295 birds.