............................................................................................................HELP ME OUT PLZ.............................................................

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

To learn more about the volume visit:

brainly.com/question/24372707

#SPJ1

Answer:

Rational number.

Step-by-step explanation:

In order to be a rational number, a number needs to be expressible as a ratio of two integers with the denominator not being 0. Because both 8 and 17 are both integers and the denominator is not 0, it's a rational number.

Answer:

yes!

Step-by-step explanation:

both 8 and 17 are both integers.

To simplify the expression we need to sum the similar terms.

So, the expression:

9x + 7y + 10 - 4y - 8 - 5x

Can be reorganized and simplified as:

9x - 5x + 7y - 4y + 10 - 8

(9x - 5x) + (7y - 4y) + (10 - 8)

4x + 3y + 2

Answer: 4x + 3y + 2

The parametric equations are mathematically given as

(x(t), y(t), z(t))= (2-4t, 1-t, t)

Generally, To express the parametric point from A (2,1,0) to B(-2,0,1) in parametric form, we can use the following equation:

P(t) = (2-4t, 1-t, t)

To find the parametric equations for a point moving from A to B, we can use the following formula:

x = x₁ + t(x₂ - x1)

y = y₁ + t(y₂ - y₁)

z = z₁ + t(z₂ - z₁)

Where (x₁, y₁, z₁) is the starting point (A), (x₂, y₂, z₂) is the ending point (B), and t is a parameter that varies from 0 to 1.

Using this formula, the parametric equations for a point moving from A (2,1,0) to B(-2,0,1) are:

x = 2 + t(-2 - 2)

= 2 - 4t

y = 1 + t(0 - 1)

= 1 - t

z = 0 + t(1 - 0)

= t

These equations describe the motion of a point that starts at A, moves along the line segment from A to B, and arrives at B when t = 1.

Read more about Parametric point

https://brainly.com/question/28537985

#SPJ1

The complete Question was found

Find parametric equations for the line. (Use the parameter t.)

The line through points A (2,1,0) to B(-2,0,1)

(x(t), y(t), z(t))= \((\square)\)

Solution

Given the function

If we graph the equation, we would have.

when x = 0, f(x) = 5^3 = 125

when x = 1, f(x) = 8^3 = 512

Hence, the solid of revolution is given by

Evaluating the integral

Answer:

Step-by-step explanation:

Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.

The absolute value will be 90 when the argument of the function is either -90 or +90.

The question resolves to two equations:

These two-step linear equations can be solved in the usual way:

Then ...

Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.

Answer: i think b

Step-by-step explanation:

so sorry if im wrong

Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

Learn more about the interest here:

brainly.com/question/30393144

#SPJ1

The completed statement with regards to the importance of the nominal and real value of a statistic are presented as follows;

Generally, the real value is more important than the nominal value of a given statistic since it is more contextual

The nominal value of an item is the current or unadjusted price of the item, such that the effect of inflation on the price of the item are not included.

An item's real value, also known as the relative price of the item is obtained by adjusting the nominal value of the item for inflation, such that the value of the item is indicated based on a comparison to another item.

An example comparison of the nominal and real value of an item are presented as follows;

Let $50,000 represent the personal income of a person in the current year, let $53,000 represent the income of the person in the following year, and let the rate the inflation rate be 2.5%, therefore;

The nominal rate of increase or growth of the income is; (53,000 - 50,000)/(50,000) × 100 = 6%

The real growth of the income is therefore 6% - 2.5% =  3.5%

Therefore, for measurements of economic indices such as the Gross Domestic Product, GDP, the real values are more important as the real values form a more accurate indication of the economic parameters.

Learn more on the Gross Domestic Product, GDP, here: https://brainly.com/question/18170502

#SPJ1

In order to be eligible for the senior admission rate, a visitor must be older than 65 years - it is represented by y as y > 65.

While comparing two values when one value is greater than the other, the greater than sign can be used. It is indicated by the letter ">."

The greater than sign indicates that one number is greater than the other. When a number is marked with a larger than or equal sign, it signifies the leftmost number is more than or on par with the rightmost number. The number on the left is smaller than the number on the right if the less than sign is present. The signs for larger than and less than are additionally referred to as inequality signs. Equal does not imply unequal. While comparing two values that might not be equal, these signs are excellent.

To know more about greater than, visit

brainly.com/question/29122645

#SPJ1

The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

learn more about surface area from

https://brainly.com/question/16519513

#SPJ1

Answer:

y=15

DE=11

GF=17

Step-by-step explanation:

y*2=5*6

2y=30

y=15

5+6=11

15+2=17

Answer:

=

Step-by-step explanation:

I hope this helps! :)

☁️☁️☁️☁️☁️☁️☁️☁️

9514 1404 393

Answer:

  40°, 60°, 80°

Step-by-step explanation:

The total of ratio units is 2+3+4 = 9.

The total of angles in a triangle is 180°, so each ratio unit stands for 180°/9 = 20°.

The angle measures are ...

  20° × 2 = 40°

  20° × 3 = 60°

  20° × 4 = 80°

Answer:

m>−78

Step-by-step explanation:

that's your answer:)

The required value of x is  135° in the given polygon. which is the correct answer would be an option (A).

A polygon is given in the figure

According to the given question, the required solution would be as:

Number of sides = 8

The required value of x is the equal to measure of one Interior angle in the given polygon.

Interior angles of a polygon = (sides - 2) × 180°

In this case, the number of sides is 8

Sum of Interior angles = (8 - 2) × 180

Sum of Interior angles = (6) × 180

Sum of Interior angles = 1080°

the measure of one Interior angle = 180°/8

the measure of one Interior angle = 135°

Thus, the required value of x is  135°.

Learn more about the exterior angles here :

brainly.com/question/28835566

#SPJ1

Answer:

1.   y=2x -12

2. 2x-y=12

3.y=2/3x 11/3

Step-by-step explanation:

Answer:

9 lessons

Step-by-step explanation:

let l be the number of lessons

The equation would be:

\(25l+35 = 260\\25l=225\\l = 9\)

Answer: the answer is 6.38

Step-by-step explanation: You have to divide 25.40/4 you can use base ten blocks or draw it out or just divide that is how i got the answer!

Answer:

The second side is 8.

The third side is 12.

The last side is 16.  

Step-by-step explanation:

The third side is 12 because it is 8+4. Given these facts, it is 20 feet so far. And the last side of the triangle is 16, for it is 8+8. So, 16+20 is 36. Hope thsi helped.

Answer:

Step-by-step explanation:

If we represent the first number as "x", then the second number can be represented as "2x-3".

For example, if the first number is 5, then the second number would be 2(5)-3 = 7.

Alternatively, if the first number is 10, then the second number would be 2(10)-3 = 17.

In general, we can say that the second number is equal to twice the first number minus 3.

The exact values of α and β as follows: α = 2π/3 and β = 7π/6. To find the exact value of the given trigonometric expressions, we need to use the Laws of Sines and Cosines.

The Law of Sines is a mathematical equation used to calculate the angles or sides of a triangle when two angles and one side are known. It states that the ratio of the sine of an angle to the length of the opposite side is constant.

The Law of Sines states that the ratio of a side to the sine of its opposite angle is equal for all sides and angles of a triangle. The Law of Cosines states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides multiplied by the cosine of the included angle.

We begin by finding the exact value of tan α. Using the Law of Sines, we can find the measure of α by solving the equation: tan α = 3/4 = sin α/cos α. This can be rearranged to find cos α = 4/3, and then we can use the inverse of cosine to find the exact value of α.

Using the Law of Cosines, we can find the exact value of β by solving the equation: -15/17 = (cos β)2 = (1 - sin2 β). This can be rearranged to find sin β = -4/5, and then we can use the inverse of sine to find the exact value of β.

Finally, using the given conditions, we can find the exact values of α and β as follows: α = 2π/3 and β = 7π/6.

For more questions related to cosines

https://brainly.com/question/23720007

#SPJ1

Answer:

x = \(\frac{17}{14}\)

Step-by-step explanation:

simplify both sides of the equation

-9x + 10 - 5x = - 7

-9x + 10 + - 5x = -7

(-9x + -5x) + (10) = -7 (combine like terms)

-14x + 10 = -7

subtract 10 from both sides

-14x + 10 - 10 = -7 - 10

-14x = -17

divide both sides by -14

\(\frac{-14x}{-14}\) = \(\frac{-17}{-14}\)

x = \(\frac{17}{14}\)

Answer:

(13x -7 ) + (8x -2) = 180

13x - 7 + 8x - 2 = 180

21x -9 = 180

21x = 189

x = 9

Answer:

7:01

29%

Doyan of low

Shiman 1-R-1

Flous 1-1 Gambe 1-4-20

12 dual purpose

Martins 1-2-3 Flores 1-2, 1-3, 14

Gamba 2-1-5

Custand 1-4, 2-1

Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI

Flores 1-30

Munting 1-2-4

Gumbon 1-1-3 CDP 1-1-3

Status oppose ending 742 Montoya 1-1, 1-2, 1-3

federal courts challenge

Gamboa 1-R-2 Custom 1-7

CDP 1-L-36, 1-2-4

de Vogue 1-2-1, 2-1-5, 2-L-6

7 expulsions at boders

root causes textul Amer.

Cop 1-L-34, 1-1-2, 1-R-4

Border Report 1-2

CDP 1-R-2, 1-R-3 Montoya 1-8

Custarda 2-2

=

CLOSE

Hopes this helps :)