What is the volume of the following triangular prism?

Answer:

3450 because 5 percent of 3000 Is 150

Answer:

Hey, the answer is 15.375

Step-by-step explanation:

UsiNg PRT/100, the simple interest of the sum of 3000 naira invested for 3yrs at 5% per annum is 450.

Meanwhile, the first year of the compound interest, the interest generated was 150

second year 157.5

and lastly, third year 157.875

Total interest = 465.375

465.375 - 450 = 15.375

Answer:

The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{20}{\sqrt{90}} = 3.4[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 122 - 3.4 = $118.6

The upper end of the interval is the sample mean added to M. So it is 122 + 3.4 = $125.4

The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.

We have mapped the correct equivalent expressions.

3/16 ⇒ 0.1875

0.85 ⇒ 17/20.

3/8 ⇒ 0.375.

0.425 ⇒ 17/40.

What is the equivalent expression?

An equivalent expression is a mathematical expression that has the same value as another expression but is written differently. Equivalent expressions can be obtained by using the properties of arithmetic such as the commutative, associative, and distributive laws.

3/16 can be described as 0.1875

0.85 can be described as 17/20.

3/8 can be described as 0.375.

0.425 can be described as 17/40.

Hence, we have mapped the correct equivalent expressions.

3/16 ⇒ 0.1875

0.85 ⇒ 17/20.

3/8 ⇒ 0.375.

0.425 ⇒ 17/40.

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Answer:

742.5 inches squared

Step-by-step explanation:

What is the area of the triangle?

A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.

123 inches squared

742.5 inches squared

1,012.5 inches squared

1,485 inches squared

Answer:

C=20

Step-by-step explanation:

1. 25÷5=5

2. 5×4=20

I hope this helped☺

Answer:

this is in the form of slope intercept. y = mx + b

m is the slope

and b is the y intercept

meaning that -2 is the y intercept

and 1/3 is the slope

(meaning on a graph you go up one, and over 3)

Step-by-step explanation:

Answer:

a) (0,-2)

b) [tex]\frac{1-(-2)}{3-0}[/tex]= 1

c) -3  or 9

Step-by-step explanation:

Answer:

Proportionate Stratified Random Sampling.

Step-by-step explanation:

Sampling is the process of selecting a small group representative of population.

Stratified Random Sampling is used when population is too heterogeneous, ie too dissimilar. This method includes dividing population into various dissimilar groups [stratas] , similar within themselves. Then, sample is taken from each strata (group), making it good representative of population variety.

If sampling structure is such that - sample units are selected from each strata, in proportion to the strata's presence in population - It is called Proportionate Stratified Random Sampling.

Eg : Dividing population in gender (men, women, other) stratas & taking sample from each strata - in proportion to particular gender in population

Answer:

B, you are correct

Area of the bigger trapezoid = (6 + 2) x 1/2 x 6 = 8 x 1/2 x 6 = 4 x 6 = 24

Area of the smaller trapezoid = (4 + 2) x 1/2 x 3 = 6 x 1/2 x 3 = 3 x 3 = 9

Hope that helps! :)

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Given ,

To Find : The Circumference of a circle

Radius can be the determined by the formula

[tex]r = \frac{d}{2} \\r = \frac{18}{2} \\r = 9yd[/tex]

Now we can apply the formula of the circumference of a circle which is,

[tex]Circumference = 2\pi r[/tex]

[tex]Circumference = 2X3.14X9[/tex]

[tex]Circumference = 56.52[/tex]

Hence , the Circumference of a circle is 56.52yd

Answer:

Step-by-step explanation:

Given

[tex]x=1-sin(a)\\y=1+cos(a)[/tex]

Solve for [tex]a[/tex] in the second equation.

[tex]y=1+cos(a)[/tex]

[tex]y-1=cos(a)[/tex]

[tex]a=cos^{-1}( y-1)[/tex]

Insert our answer for [tex]a[/tex] into the first equation.

[tex]x=1-sin(a)[/tex]

[tex]x=1-sin(cos^{-1}( y-1))[/tex]

[tex]cos^{-1}=arccos[/tex]

[tex]x=1-sin(arccos( y-1))[/tex]

Lets simplify [tex]1-sin(arccos( y-1))[/tex]

A piece of graph paper would be helpful in my opinion.

Here is how I would go about doing so

Draw a triangle in the plane with vertices [tex](y-1,\sqrt{1^2-(y-1)^2}),(y-1,0)[/tex] and the origin.

[tex]arccos(y-1)[/tex] is is the angle between the positive x-axis and the ray beginning at the origin and passing through [tex](y-1,\sqrt{1^2-(y-1)^2})[/tex]. Therefore [tex]sin(arccos(y-1))[/tex] is [tex]\sqrt{1-(y-1)^2}[/tex]

Now we have

[tex]x-1-\sqrt{1-(y-1)^2}\\a=arccos(y-1)[/tex]

We can write [tex]1[/tex] as [tex]1^2[/tex]. Since both terms are now perfect squares, we can factor using the difference of squares formula.

[tex]a^2-b^2=(a+b)(a-b)[/tex] where [tex]a=1[/tex] and [tex]b=y-1[/tex]

[tex]x=1-\sqrt{(1+y-1)(1-(y-1))}[/tex]

After simplifying we get

[tex]x=-\sqrt{y(-y+2)}+1[/tex]

[tex]x=-\sqrt{y(-y+2)}+1[/tex]

[tex]a=arccos(y-1)[/tex]

I think this is what your question was. If not let me know.

Answer:

a shape that is not a trapezoid is a a square or a triangle

Step-by-step explanation:

Using a straight line and either an open circle or a closed circle to indicate the end points, we can depict inequalities on a number line by displaying the range of integers.

By drawing a straight line and designating the end points with either an open circle or a closed circle, we can depict inequalities on a number line by illustrating the range of integers. An open circle indicates that it excludes the value. A closed circle indicates that it does contain the value.

Both equations and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.

With regard to the inequality expression

-3m + 5 > 14

5 from each side is subtracted.

-3m + 5 - 5 > 14 - 5

-3m > 9

Subtract -3 from both sides.

-3m/-3 < 9/-3

m < -3

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Answer: 24

Step-by-step explanation:

Given that m=5 and n=3, we can plug our values into the given expression to evaluate.

(5)(3)+9                  [multiply]

15+9                        [add]

24

The reason we multiplied before we added was due to the order of operations. Order of operations tells us to always multiply or divide first before we add or subtract. In this case, the multiplication happens to come first so we multiply, then add.

Answer: line AB and RS are parallel because their lines do not interact anywhere on the model, because it is 3D. this is the only one i am sure of, you may have to ask another person to get the other two.

Answer:

A. Line AB and Line CG are parallel, C. Line CG and Line RS are perpendicular, and E. Line CG lies in plane X

Step-by-step explanation:

A. Line AB and Line CG are parallel is true because the arrows are pointing in the same directions and do intersect or cross each other.

B. Line AB and Line RS are parallel is false because although they do not intersect, they also do not go in the same direction. These are also not perpendicular lines because they do not intersect other, even though they make a right angle.

C. Line CG and Line RS are perpendicular is true because these lines intersect at exactly 90° angle (as shown by the square).

D. Line AB and Line RS must intersect is false because Line AB does not intersect Line CG (which is the line that does intersect Line RS).

E. Line CG lies in plane X is true because point C and point G are in plane X.

F. Line RS lies in plane X is false because point r and point 2 are in plane Y.

The length of x of a diagonal support is 13.8 feet.

The hypotenuse of a triangle is the length of the longest side of the triangle. So that it is always opposite to the measure of the largest angle of a triangle.

In the question given, divide the length of the footbridge into 2 parts.

So that,

Half of the footbridge = 25/ 2

                     = 12.5 ft

So that applying the appropriate trigonometric function to determine the value of x using any of the congruent triangles. We have;

Sin θ = opposite/ hypotenuse

Sin 65 = 12.5/ x

x = 12.5/ Sin 65

  = 12.5/ 0.90631

x = 13.792 feet

The length x of a diagonal support is 13.8 feet.

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Answer:

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

Find the legs first:

Find the hypotenuse using Pythagorean:

Find the perimeter:

Correct choice is A.

Answer:

A)  24 units

Step-by-step explanation:

The perimeter of a triangle is the sum of its side lengths.

From inspection of the given right triangle:

As the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:

[tex]\implies c^2=a^2+b^2[/tex]

[tex]\implies c^2=8^2+6^2[/tex]

[tex]\implies c^2=64+36[/tex]

[tex]\implies c^2=100[/tex]

[tex]\implies c=\sqrt{100}[/tex]

[tex]\implies c=10[/tex]

Therefore, the perimeter of the given triangle is:

[tex]\implies 8+6+10=24 \; \rm units[/tex]

Answer:

96oz = 6 pounds

Step-by-step explanation:

96 divided by 16 = 6 pounds

Assuming there are 16 ounces in 1 pound,  if he want to know the weight of the package. The weight of the package in pounds is 6 pounds.

Using this formula

Weight in pounds=Weight /Ounces in 1 pound

Where:

Weight=96 ounces

Ounces in 1 pound=16 ounces

Let plug in the formula

Weight in pounds=96 ounces/16 ounces

Weight in pounds=6 pounds

Inconclusion the weight of the package in pounds is 6 pounds.

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Answer:

its C. 0.05 #edmentumgang

Step-by-step explanation:

Answer:

Option C is the correct anwer for plato

Step-by-step explanation:

C.  0.05

Answer:

3.8 ,6.16 , 9.24

Step-by-step explanation:

Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.

The process of expressing a specific element in mathematics in the most typical way is known as standard form. Every element of mathematics, including big and small numbers, equations and lines, is designated in a standard form.

A standard form is a way of expressing a certain mathematical idea, such as an equation, number, or expression, in a way that adheres to a set of rules. The standard form is used to clearly represent extremely large or extremely small numbers.

To write an equation in standard form passing through the (-1,-1) and parallel to y = - x - 5, we need to find y-intercept form first

We know that parallel lines have same slope, so

y - y1 = m(x - x1)

y -(-1) = -1(x -(-1)

y + 1 = -x - 1

y = -x - 2

y + x = -2

Thus, Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.

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Answer:

72

Step-by-step explanation:

you multiply length x width x height and you get your answer

Answer:

Step-by-step explanation:

if 2021 is 35% decrease of the original number then 2020 is 100% ,and 2021 = 65%.

so, we do the rule of three:

x = (94900 * 100)/ 65

x = 146000

and that is the population in 2020.

Answer:

Hey there! Based on the information provided, it seems that the population of the town decreased by 35% between 2020 and 2021. We can use this information to calculate that in 2021, the population of the town was 65% of its population in 2020. If the population of the town in 2021 was 94,900, then we can use this information to calculate that the population of the town in 2020 was 146,155. Does that make sense?

Answer: 4 + n >= 17

Step-by-step explanation:

the angle 4pi/5 in quadrent 2

9514 1404 393

Answer:

  9π/5 terminates in Quadrant IV

Step-by-step explanation:

The attached shows the terminal ray (OP) of the angle with measure 9π/5 ≈ 5.65 radians. It lies in the 4th quadrant.

Answer:

660

Step-by-step explanation: