What is the surface area of a triangular prism

Step-by-step explanation:

y=2x-20 is the right answer mark brainliest

Answer:

\(\sf Y=2X-20\)

Step-by-step explanation:

Given linear equation:

\(\sf X=\dfrac{1}{2}(20+Y)\)

To express Y in terms of X, rearrange the equation to isolate Y.

Apply the distributive property of multiplication over addition:

\(\implies \sf X=\dfrac{1}{2} \cdot 20+\dfrac{1}{2} \cdot Y\)

\(\implies \sf X=\dfrac{20}{2}+\dfrac{Y}{2}\)

\(\implies \sf X=10+\dfrac{Y}{2}\)

Subtract 10 from both sides of the equation:

\(\implies \sf X-10=10+\dfrac{Y}{2}-10\)

\(\implies \sf X-10=\dfrac{Y}{2}\)

Multiply both sides of the equation by 2:

\(\implies \sf 2(X-10)=2 \cdot \dfrac{Y}{2}\)

\(\implies \sf 2(X-10)=Y\)

\(\implies \sf Y=2(X-10)\)

Apply the distributive property of multiplication over subtraction:

\(\implies \sf Y=2\cdot X- 2\cdot 10\)

\(\implies \sf Y=2X- 20\)

Answer:

The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0

Step-by-step explanation:

If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.

Answer:

p+2p+3p=180degree(sum of angle of triangle)

6p=180degree

p=180degree/6

p=30degree

here your answer and please support me

Answer:

30, 60, 90

Step-by-step explanation:

p+2p+3p= 180

6p= 180

p=30, 2p= 60, 3p= 90

Given data:

The given figure.

The expression for the sum of all angles is,

Thus, the value of x is 65 degrees.

Answer:

840

Step-by-step explanation:

You can divide by 5 and get 168

840/6 = 140

840/21 = 40

Answer:

The largest 3 digit number divisible by 5, 6, & 21 is 840.

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

4

Step-by-step explanation:

I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.

In this question, the binomial is (x + 2)².

You can expand this to be (x + 2)(x + 2).

When you expand it using the FOIL method, you get x times x, which is x².

Next, the outside/outer terms are x and 2, which is 2x.

Then, you multiply the inside/inner terms 2 and x, which is 2x.

Last, you multiply the last terms, which are 2 and 2, which is 4.

When you put them together, it looks like this:

x² + 2x + 2x + 4.

You can simplify this to x² + 4x + 4.

So your answer is 4.

Answer:

Down Right: D or Down Left C

Step-by-step explanation:

y, x

not

x, y

                                                              l

                                             neg, pos  l   pos, pos

                                                              l

                                          --    --    --    +    --    --    --

                                                              l

                                             neg, neg  l   pos, neg

                                                              l

I chose D at first because 2, -3 and I thought you were referring to the quadrants (1 2 3 &4) but if you were referring to the picture (top left, top right, down left, down right) then the answer would be "Down Left: C" because there is a dot on the x y axis's of 2, -3

<3 Enjoy,

    Dea

Answer: the son is 14 the dad is 39

Step-by-step explanation:

Answer:

Hi! there,

Step-by-step explanation:

let , age of father=x

and age of his son = y

Now, father is 25 years older than his son i.e,

x-y = 25......(1)

and

the sum of their ages is 53 years i.e,

x+y = 53 ......(2)

then from (1) and (2)

x + y = 53

x - y = 25

.......................

2x = 78

x = 78/2

x = 39

putting value of x in ... (1)

x - y = 25

39 -y = 25

39 - 25 = y

y = 14

Hence , age of father x = 39 years and age of his son y = 14 years

Hope that you like it .

2. The transformations are given as follows:

3. The transformations are given as follows:

For item 2, the transformations in this problem are given as follows:

For item 3, the transformations are given as follows:

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Answer:

I think its C

Step-by-step explanation:

Answer:

bottom right

Step-by-step explanation:

bottom right

The 1.1×10^{-2} written in standard notation as Option D 0.11

The number is written in the form  \(a \times 10^b\) where we have  \(1 \leq a < 10\)

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. A Scientific notations have some of the profits as; A Better readability due to compact representation. Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

The mass of one grain of sand is \(1.1 \times 10^{-2}\) grams.

The standard form of \(1.1 \times 10^{-2}\) grams will be;

1.1 / 100 = 0.11

Hence, the 1.1×10–2 written in standard notation as Option D 0.11

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Option c; The survey results will underestimate support for this political action committee in the entire population because people who respond are less likely to support an organization that asks for money. This is the correct statement about the survey.

Given,

A political action committee sends out a questionnaire to randomly-selected mailing addresses, asking people to rate the importance of a variety of economic and social issues facing the country. at the end of the questionnaire is an (optional) invitation to donate money to the political action committee.

We have to find the correct statement about the survey from the given options;

Because respondents are less inclined to support a group that solicits donations, the survey results will understate public support for this political action committee.

The correct statement about the survey is option c;

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Answer:

D

Step-by-step explanation:

7/10 + 3/10 = 1

Answer:

D

Step-by-step explanation:

The inequality in interval notation is  [ -1, ∞ ) from the given equation x ≥ - 3

Given data :

x ≥ - 3

x is greater than or equal to - 3, so - 3 is our smallest value of the interval so it goes on the left. Since there is no upper endpoint (it is ALL values greater than or equal to 3),

we put the infinity symbol on the right side. The boxed end on 3 indicates a closed interval.

In interval notation it is [ -1, ∞ )

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The height of the tree after 6 years can be expressed as "3 feet + 6f feet."

The correct answer is A. 3f + 6 feet.

To determine the current height of the tree in terms of "f,"

let's analyze the given information.

We know that the tree was initially 3 feet tall when it was planted 6 years ago.

Since the tree grows every year, we can assume that its growth rate is consistent.

Let's denote the current height of the tree as "h" (in feet).

After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").

Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."

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Answer:

y = 6x + 4

Step-by-step explanation:

Find the slope (m) of the line that contains (1, 10) and (0, 4).

Slope = ∆y/∆x = (4 - 10) / (0 - 1) = -6/-1

Slope (m) = 6

Find the y-intercept (b):

y-intercept (b) is 4 because it is the value of y when x = 0.

To write the equation in slope-intercept form, substitute m = 6 and b = 4 into y = mx + b.

Thus:

y = 6x + 4

The work done in lifting the man is 13,500 foot-pounds (ft-lb). The weight being lifted is 270 lb, the distance over which the weight is lifted is 50 ft, and the angle between the force and the direction of motion is 0 degrees.

The work done in lifting the man can be calculated using the formula:

Work = Force x Distance x cos(theta)

where Force is the weight being lifted, Distance is the distance over which the weight is lifted, and theta is the angle between the force and the direction of motion.

In this case, the weight being lifted is the man's weight of 170 lb, plus the weight of the rescue cable, which is 2 lb/ft and is 50 ft long, so the total weight being lifted is:

170 + 2 x 50 = 270 lb

The distance over which the weight is lifted is the height that the man is lifted, which is 50 ft.

The angle between the force and the direction of motion is 0 degrees, since the force is being applied directly upward and the motion is also directly upward.

Therefore, we can calculate the work done as:

Work = 270 lb x 50 ft x cos(0)

= 13,500 ft-lb

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Answer:

  3/5

Step-by-step explanation:

The way you read a decimal fraction tells you how to write it with numbers.

  0.6 = "six tenths" = 6/10

This can be reduced to 3/5.

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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The areas of the composite figures are:

Case 1: 21 m²

Case 2: 217.5 m²

Case 3: 42 m²

Case 4: 168 cm²

Case 5: 252 m²

Case 6: 27 in²

Case 7: 39 cm²

Case 8: 44 cm²

Case 9: 558

Case 10: 70

Case 11: 78 cm²

Case 12: 21 ft²

In this problem we need to determine the areas of triangles, rectangles and composite figures formed by adding triangles and rectangles. The area formulas are introduced below:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Where:

The areas are now determined below:

Case 1:

A = 0.5 · (7 m) · (6 m)

A = 21 m²

Case 2:

A = (9 m) · (15 m) + 0.5 · (11 m) · (15 m)

A = 217.5 m²

Case 3:

A = 0.5 · (7 m) · (12 m)

A = 42 m²

Case 4:

A = 2 · 0.5 · (6 cm) · (8 cm) + 2 · 0.5 · (15 cm) · (8 cm)

A = 168 cm²

Case 5:

A = 2 · 0.5 · (7 m) · (9 m) + 2 · 0.5 · (21 m) · (9 m)

A = 252 m²

Case 6:

A = (9 in) · (2 in) + (3 in)²

A = 27 in²

Case 7:

A = (9 cm) · (3 cm) + (6 cm) · (2 cm)

A = 39 cm²

Case 8:

A = (4 cm) · (5 cm) + (2 cm) · (3 cm) + (3 cm) · (6 cm)

A = 44 cm²

Case 9:

A = 2 · 0.5 · 10 · 18 + 18 · 21

A = 558

Case 10:

A = 14 · 5

A = 70

Case 11:

A = (12 cm) · (6.5 cm)

A = 78 cm²

Case 12:

A = (3 ft) · (5 ft) + (3 ft) · (2 ft)

A = 21 ft²

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The best way to describe the central tendency of residential real estate prices in Westwood is mean.

A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode

Mean is the average of a set of numbers.

Mean = sum of the numbers / total number

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Answer:

4000/3 * π

Step-by-step explanation:

The formula for the volume of a sphere is;

V = (4/3) * π * r^3

Where;

r = the radius of the sphere

Substituting the given value, we get;

r = 10

V = (4/3) * π * (10)^3

= (4/3) * π * 1000

= 4000/3 * π

Therefore the volume of the sphere is (4000/3)π cubic units.

Answer:

45.6

Step-by-step explanation:

Answer:

45.6

Step-by-step explanation:

6 is greater than 5 so it rounds up

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

                                      = 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

                                      = 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.  

Answer:

b

Step-by-step explanation:

got it right on edge