What is the volume of a rectangular prism with the dimensions, base
12
cm, height em, and length
cm

9514 1404 393

Answer:

  CPCTC

Step-by-step explanation:

The applicable reason for statement 4 is "Corresponding Parts of Congruent Triangles are Congruent (CPCTC)".

The reason shown in your problem statement is applicable only within one triangle. The segments of interest are in two different triangles.

Answer:

The fourth one

Step-by-step explanation:

Surface area of a cylinder: [tex]SA=2\pi rh+2\pi r^2[/tex]

where r = radius and h = height

We have a given height of 14cm and a given diameter of 6cm

We need the radius, not the diameter

To convert diameter to radius we simply divide by 2

6 / 2 = 3

so R = 3

We now plug in the given values into the formula

[tex]SA=2\pi (3)(14)+2\pi (3)^2[/tex]

This equation matches with answer choice D

The values of x is 82° , z is 98°and y is 69°. in the given triangle.

Because one outside angle of a triangle is equal to the total of the other two angles in the triangle, the angles of a triangle add up to 180 degrees. In other words, the third angle must join with the other two angles in the triangle to generate a 180-degree angle (the two angles that add up to form the outside angle).

we know that the sum of angle of triangle = 180

so,

x+ 60 +38=180

x=180-8

x=82°

and also

x+z = 180

z= 98°

for value of y

13 + 98 +y = 180

y= 69°

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27 2/10

   or

27 1/5

----------------------------------

Answer:

110°

Step-by-step explanation:

i dont think u need explanation so ill do it fast

Answer:

12 percent chance

Step-by-step explanation:

Answer:

the mean is 15

median is 16

best average would be mean since its all added together and divided by #

Step-by-step explanation:

to find mean add all numbers and divide by amount of numbers

median is middle number.

Answer:

a=11

Step-by-step explanation:

set the formula up as

22+7a = 9a

22 = 9a - 7a

22 = 2a

22/2 = a

11 = a

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

The triangles are similar   so

x + 46 + 78 = 180

x = 56°

Option c: y = -x + 5 represents scatter plot 1, Option g: The relationship is not linear represents scatter plot 2, Option a: y = 3x represents scatter plot 3, and Option f: y = x + 3 represents scatter plot 4.

What is a scatter plot?

The graphs that show the association between two variables in a data set are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.

The given equations are -

a. y = 3x

b. y = 4x - 2

c. y = -x + 5

d. y = -5x

e. y = -2x - 4

f. y = x + 3

g. The relationship is not linear.

The first scatter plot is going from positive y-axis to positive x-axis in a linear form. The graph for the equation that goes from positive y-axis to positive x-axis is y = -x + 5.

The second scatter plot is a curved parabola going and not a linear plot. So, the scatter plot is said to be a non-linear scatter plot.

The third scatter plot is going from positive x-axis to infinity in a linear form. The graph for the equation that goes from x-axis to infinity is y = 3x.

The fourth scatter plot is going from positive y-axis to infinity in a linear form. The graph for the equation that goes from positive y-axis to infinity is y = x + 3.

Therefore, scatter plot 1 is represented by equation y = -x + 5, scatter plot 2 is not linear, scatter plot 3 is represented by equation y = 3x and scatter plot 4 is represented by equation y = x + 3.

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The total number of servings of chicken the food bank can provide is 70 servings.

Per-unit is a technique of expressing a quantity's value in terms of a base or reference quantity. Each system variable or quantity in a per-unit system is normalized in relation to its own base value.

Two chickens make up the main course of a plate of food, according to the table's content. Each chicken served by the food bank weighs 12.6 ounces. 110.9 pounds of chicken are available at the food bank (1,774.4 ounces of chicken)

Thus,

The mass of chicken per serving = 2 × 12.6 = 25.2 oz/serving

The total number of servings of chicken the food bank can provide = (The quantity of chicken the food bank has)/(The mass of chicken per serving)

∴ The total number of servings of chicken the food bank can provide = (1,774.4 oz)/(25.2 oz/serving) ≈ 70.413

Given that the servings are in whole numbers, we have;

therefore, To the nearest whole number, the food bank can offer a maximum of 70 servings of chicken.

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The y-intercept of the quadratic function f(x) = (x - 8)(x + 3) is (0, -24).

The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function. The x-intercept and the y-intercept are what they are. A function's intercept is the location on the axis where the function's graph crosses it.

This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

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Answer:

The numbers would be 21,23 and 25.

The largest is 25. (If this is what you are asking)

Step-by-step explanation:

The question stated that 3 consecutive odd numbers made up that 69.

Therefore, you can divide the 69 by 3 to determine the range of these numbers.

69/3= 33. So we know the range is 30-35-39 (These are the numbers youd look at to see which consecutive numbers adds up to the 69)

Reason why you divide:

For example, you wouldnt be able to use a number in its 30s or 10s because itd be too high or too low.

Hope it helps.

The option that shows that the set of irrational numbers under addition is not closed is B. π + π.

All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to express an irrational number as the ratio of two integers. The collection of real numbers known as irrational numbers, where p and q are integers, are those that cannot be expressed as fractions, such as p/q.

The example of "π + π" shows that the set of irrational numbers under addition is not closed, because the result of adding two irrational numbers (π + π) is an irrational number (2π) which is not included in the set of irrational numbers.

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A logarithm is the inverse operation of exponentiation, that is to say, log(a^b) = b, where log is logarithm, a is the base and b is the exponent.

A logarithmic function is called such because it relates the logarithm of a number to the number itself.

In other words, it is a function that expresses the value of the logarithm for a given number. This function is represented by the notation y = logb(x) where y is the logarithm, b is the base, and x is the number.

The logarithmic function is used to solve exponential equations, it is also useful in many fields such as mathematics, physics, engineering, and finance.

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Answer:

[tex]p=0.29[/tex]

Step-by-step explanation:

[tex]Total ~ of ~students=35[/tex]

[tex]Probability =10/35=0.29[/tex]

----------------------------

hope it helps....

have a great day!!

Answer:

p=0.29

Step-by-step explanation:

hope it helps...

Answer:

120

Step-by-step explanation:

you are multiping you are trying to get the number of the base

Answer:

2 + m

Step-by-step explanation:

Cheri collected 145 number of 5 peso coin and 156 number of 10 peso coin during her family's annual outreach

An equation is used to show the relationship between numbers and variables.

Let x represent the number of 5 peso coins and y represent the number of 10 peso coin

At the end of the year, she has saved a total of Php 2285, hence:

5x + 10y = 2285    (1)

Also, she has 11 more 10 pesos than 5 peso coins, hence:

y = x + 11    (2)

Solving both equations using elimination method gives:

x = 145, y = 156

Cheri had 145 number of 5 peso coin and 156 number of 10 peso coin.  

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Answer:

[tex]75\% \: of \: 96 \\ = \frac{75}{100 } \times \frac{96}{1} \\ = \frac{3}{4} \times \frac{96}{1} \\ = 24 \times 3 \\ = 72[/tex]

Answer:

it should be cylander b

Step-by-step explanation:

the formula for volume is πr^2(h) and the number being squared would need to be bigger for a greater volume.

The evaluation of the expression 2ˣ - x² when x = 5 is 7

From the question, we have the following parameters that can be used in our computation:

Expression: 2^x- x^2

Value x = 5

Rewrite the expression as

Expression: 2ˣ - x²

Substitute the known values in the above equation, so, we have the following representation

2ˣ - x² = 2⁵ - 5²

When the exponents are evaluated. we have

2ˣ - x² = 32 - 25

Evaluate the like terms in the equation

So, we have the following representation

2ˣ - x² = 7

Using the above as a guide, we have the following:

The solution is 7

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Answer:

C. The mean and the median are the same.

Because two triangles are said to be congruent when all three of their corresponding sides and all three of their corresponding angles have the same measure, the right answer is SSS.

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found.

In the order below, beginning with triangles DAB and BCD, write the names of the vertices.

AB = CD

DA = BC

Since both triangles' BD sides are the same, BD = BD.

The SSS feature of a congruent triangle allows us to conclude that the triangles DAB and BCD are congruent since they share the same three sides.

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Answer:

Slope=-3.333/2.000=-1.667

X-intercept= -13/5 = -2.60000

Y-intercept= -13/3 = 14.33333

Answer: i need your help, XD

Step-by-step explanation:

The longest side of a triangle is always opposite to the largest angle because  the endpoints of the lines on either side are going to be further apart if the angle is wider .

What is Triangle  ?

The triangle can defined as a three-sided polygon that consists of three edges and three vertices.

Let the angle opens up to its opposite side.

So , the larger the angle, the wider will be it's opening. which means that the endpoints of lines on either side of the angle are going to be further apart if angle is wider.

If the endpoints are further apart, then the line connecting them, which makes up the side opposite will be going to be more longer.

So , the longest side will always be opposite to the largest angle

Similarly , the smallest angle will result in shortest side opposite side for the same reasons.

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The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total possible outcomes.

= 8 x 22

= 176

Now,

Probability of guessing the correct letter.

= [tex]^8C_1[/tex] / 176

Probability of guessing the correct section.

= [tex]^{22}C_1[/tex] / 176

The probability that you correctly guess the letter section and then guess the correct number section.

= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176

= 8 x 22 / 176 x 176

=  1 / 176

= 0 .005

= 0.01

Thus,

The probability that you correctly guess where your car is located is 0.01.

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Answer:

Irrational number

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

look at where it intersects the line that goes straight up