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3 years ago

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in a parallelogram with area of 40, a side is 3 less than the altitude drawn to that side. Find the altitude of the parallelogra

m

1 answer:

postnew [5]3 years ago

6 0

i cant draw one but i can tell u that the altitude is 10 degrees of the parallelogram

really hope this helps some way <3

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What is the standard form of the points (-3,4) (2,-6)

Bas_tet [7]

The standard form equation of the line connecting the two points is $2x + y = -2$

Linear equation in a standard form is given as $Ax + By = C$

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$

where,

$(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)$

Substitute

$slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2$

Step 2: Find the y-intercept (b) of the line by substituting $(x, y) = (-3,4)$ and $m = -2$ into $y = mx + b$ (slope-intercept form)

$4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2$

Step 3: Write the equation of the line in slope-intercept form by substituting $m = -2$ and $b = -2$ into $y = mx + b$

$y = -2x + (-2)\\y = -2x - 2$

Step 4: Rewrite the equation in standard form $(Ax + By = C)$

$y = -2x - 2\\$

Add $2x$ to both sides

$2x + y = -2x - 2 + 2x\\2x + y = -2$

The standard form equation of the points (-3,4) and (2,-6) is $2x + y = -2$

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

6 0

3 years ago

The question I have is this 90+30+a=180

pashok25 [27]

Answer:

a = 60

Step-by-step explanation:

90 + 30 = 120

120 - 180 = 60

4 0

3 years ago

Read 2 more answers

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches. 2 triangular sides have a base of

melisa1 [442]

Answer:

Answer:

a) The base of the rectangular pyramid shown has an area of

60 square inches

b) A triangular face with a base of 10 inches has an area of 28 square inches.

c) A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

a) Solving for question a, we were given the following parameters

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches

The formula used to calculate the rectangular base of a rectangular pyramid =

Length × Width

Where :

Length = 10 inches

Width = 6 inches

Rectangular base = 10 inches × 6 inches

= 60 inches²

Hence, the base of the rectangular pyramid shown has an area of 60 square inches

b) Solving for question b, we have the following values given:

2 triangular sides have a base of 10 inches and height of 5.6 inches.

First step would be to solve for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (10 inches × 5.6 inches) ÷ 2

= 56inches² ÷ 2

= 28 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 28 inches².

A triangular face with a base of 10 inches has an area of 28 square inches.

c) Solving for question c, the following parameters are given:

2 triangular sides have a base of 5 inches and height of 7.1 inches.

We would be to solving for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (5 inches × 7.1 inches) ÷ 2

= 35.5 inches² ÷ 2

= 17.75 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 17.75 inches².

A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) Solving for d, it is important to note that, a rectangular pyramid has 5 faces and they are: The rectangular base and 4 triangular faces

The formula for the total surface area of the rectangular pyramid is given as

Total Surface Area of the rectangular pyramid = Rectangular Base + Area of Triangular Side A + Area of Triangular Side B + Area of Triangular Side C + Area of Triangular Side D + Area of Triangular Side E

Total Surface Area of the Rectangular Pyramid = 60 inches² + 28 inches² + 28 inches² + 17.75 inches² + 17.75 inches²

Total surface Area of the Rectangular pyramid = 151.5 inches²

The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

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Know the order of operations. However, one of the trickiest things about solving an algebra<span> equation as a beginner is knowing where to start. Luckily, there's a specific order for solving these problems: first </span>do<span> any math operations in parentheses, then </span>do<span> exponents, then multiply, then divide, then add, and finally subtract</span>

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3 years ago

- Round each number to four decimal places: a. 5.16 b. 5.27

DochEvi [55]

Answer:

wym by 4 decimal places

Step-by-step explanation:

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2 years ago