The base edge of an oblique square pyramid is represented as x cm. If the height is 9 cm, what is the volume of the pyramid in terms of x?
3x2 cm3
9x2 cm3
3x cm3
x cm3

Answer:

2.5 hrs.

Hope this helps <3

We use the product rule in probability to find P(A∩B) = P(B|A) * P(A). Substituting given values, P(A∩B) = (9/20) * 25, which equals 11.25.

The subject area of this question is probability, a topic within mathematics. Here, we are asked to find the intersection of Events A and B given the probabilities of A and the conditional probability of B given A. The rule of product in probability states that P(A∩B) = P(B|A) * P(A).

Let's calculate: P(B|A) is given as 9/20 while P(A) is 25. Thus,

P(A∩B) = P(B|A) * P(A) = (9/20) * 25 = 11.25

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Answer:  The required simplified form is [tex]4\cos^2\theta.[/tex]

Step-by-step explanation:  We are given to simplify the following trigonometric expression :

[tex]T=(\cos \theta-\cos\theta)^2+(\cos \theta+\cos \theta)^2.[/tex]

To simplify, first we need to evaluate the terms within the brackets.

The simplification is as follows :

[tex]T\\\\=(\cos \theta-\cos\theta)^2+(\cos \theta+\cos \theta)^2\\\\=0^2+(2\cos\theta)^2\\\\=0+4\cos^2\theta\\\\=4\cos^2\theta.[/tex]

Thus, the required simplified form is [tex]4\cos^2\theta.[/tex]

need to divide 4 1/8 by 1 1/4

4 1/8 = 33/8

1 1/4 = 5/4

33/8 / 5/4 = 33/8 * 4/5 =  132/40 reduces to 33/10 = 3 3/10

100* 3 3/10 = 330 miles

Final answer:

Using the map scale of 1 1/4 inches equals 100 miles, and the measured map distance of 4 1/8 inches, the actual distance between the two cities is calculated to be 330 miles.

Explanation:

To find the actual distance between two cities on a map, we can set up a proportion based on the scale of the map. In this case, the scale is 1 1/4 inches = 100 miles. The measured distance on the map between the two cities is 4 1/8 inches.

We'll convert these measurements to an easier-to-calculate form by changing the mixed numbers to improper fractions.

First, we convert 1 1/4 inches to an improper fraction: 1 1/4 = 5/4 inches. Likewise, we convert 4 1/8 inches to an improper fraction: 4 1/8 = 33/8 inches. Now we set up the proportion using the scale.

(5/4 inches) / (100 miles) = (33/8 inches) / (x miles)

To solve for x, cross-multiply and divide:

(5/4) * x = (33/8) * 100
x = (33/8 * 100) / (5/4)
x = (33 * 100 * 4) / (8 * 5)
x = (33 * 4) / (2)
x = 66 miles

Therefore, the actual distance between the two cities is 330 miles.

This is a negative linear association because when ever the x (top line) is increasing and the y (bottom line) is decreasing, that shows that you are going farther to the end of the  x axis and lower down the y axis.

Negative linear association is the type of association will the scatter plot for this data represent between the time, in hours, and the distance from the destination, in miles

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The scatter plot for this data will represent a negative linear association between the time, in hours, and the distance from the destination, in miles.

As the time in hours increases, the distance from the destination in miles decreases, and this relationship is a straight line that slopes downwards from left to right which indicates a negative linear association.

Therefore, Negative linear association is the type of association will the scatter plot for this data represent between the time, in hours, and the distance from the destination, in miles.

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Answer:  D

Step-by-step explanation: took the test

there are 60 minutes marks on a clock

 360/60 = 6

 6 degree between every minute

 From 1:25 to 1:50 there are 25 minutes

25 x 6 = for a total of 150 degrees

150*pi/180 = 5pi/6 radians. ( 2.61799 radians)

Total distance the tip of minute hand has traveled in this time = 2pi*(4 in) * (5pi/6)/(2pi) = 10pi/3 inches (10.47 inches)

try it with a couple different numbers

 try 4:  1^2 +2^2 +3^2 +4^2 = 1 +4 +9 +16 =30

 formula: 4(4+1)(2*4+1)/6 = 4*5*9 = 180/6=30

 this one works

now try 5

1^2 + 2^2+3^2+4^2+5^2 = 55

formula: 5(5+1)(2*5+1)/6 = 5*6*11 = 330/6=55

I tried a larger number ( 14) as well and it worked

so you can say that this is true

This question can simply be answered directly. To solve this, we should recall that the formula of a circle is:

Area of circle = π r^2                       where r is the radius of the circle

Now we are given that segment OA is equivalent to 5 units. Segment OA is also the diameter of that circle therefore d = 5.

Now let us convert the formula knowing that radius is one half the diameter:

r = d / 2

Area of circle = π (d / 2)^2

Area of circle = π d^2 / 4

Substituting:

Area of circle = π (5)^2 / 4

Area of circle = 3.14 * 25 / 4

Area of circle = 19.625 = 19.6 square units

Answer:

The answer would be 19.6 for plato Users

Step-by-step explanation:

since they both end with 5 divide each number by 5

4415 = 883

22245/5 = 4449

there is no number that can go into 883 evenly

 so the lowest term

 would be 883/4449

The correct ratio in lowest terms is [tex]\(\frac{883}{4449}\)[/tex].

To find the ratio in lowest terms, we first write the ratio of the two given lengths:

[tex]\[ \frac{4415 \text{ feet}}{22245 \text{ feet}} \][/tex]

Next, we divide both the numerator and the denominator by their greatest common divisor (GCD) to simplify the ratio. The GCD of 4415 and 22245 can be found by using the Euclidean algorithm or by inspection.

We can start by dividing both numbers by 5:

[tex]\[ \frac{4415 \div 5}{22245 \div 5} = \frac{883}{4449} \][/tex]

Now, we check if 883 and 4449 have any common divisors other than 1. Since 883 is a prime number and does not divide evenly into 4449, we have found the simplest form of the ratio.

Thus, the ratio of 4415 feet to 22245 feet in lowest terms is [tex]\(\frac{883}{4449}\)[/tex].

Answer:

it is 70

Step-by-step explanation:

I guessed and got it right, lol

The height of the ladder will be;

⇒ 20√3 feet

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building.

And, He places the ladder at a 60° angle with the ground.

Now,

Let the height of the ladder = h

So, We can formulate;

⇒ sin 60° = 30/h

⇒ √3/2 = 30/h

⇒ h = 30 × 2/√3

⇒ h = 20√3

Thus, The height of the ladder = 20√3 feet

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line QP =

11.5*(11.5 +24) = 11.5 * 35.5 = 408.25

SqRT(408.25) = 20.205

round answer to 20 units

Answer:

Part A: 12y^2+9y-21

Part B: 4y^2+6y^2+7y-5

Part C:  A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set. For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number. Polynomials are closed under the same operations as integers.

Step-by-step explanation:

Hope this helps!!

Answer: The answer is (C) 47.5.

Step-by-step explanation:  In the given figure, O is the centre of a circle, where AC is the diameter and OB is the radius. We are to find the measure of ∠BAC.

We have

[tex]m\angle AOB+m\angle BOC=180^\circ\\\\\Rightarrow m\angle BOC=180^\circ-85^\circ\\\\\Rightarrow m\angle BOC =95^\circ.[/tex]

∠BOC and ∠BAC are angles at the centre and at the circumference subtended by the arc BC, so

[tex]m\angle BAC=\dfrac{1}{2}\times m\angle BOC=\dfrac{1}{2}\times 95^\circ=47.5^\circ.[/tex]

Thus, (C) is the correct option.