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3 years ago

A parallelogram has an area of 364.5 cm2. If the base is 27 cm, what is the height? What is the perimeter?

Mathematics

1 answer:

Blababa [14]3 years ago

7 0

Answer:

Height = 13.5 cm

Perimeter = 81 cm

Step-by-step explanation:

The Area of a parallelogram is given as the product of the base and its height.

A = base * height

Area, A = 364.5 cm²

Base, b = 27cm

Height, h =?

Hence,

364.5 cm² = 27cm * h

h = 364.5 cm² / 27cm

h = 13.5 cm

Perimeter of parallelogram :

P = 2(a + b)

a = height of sides ; b = base

P = 2(13.5cm + 27cm)

P = 2(40.5)

P = 81 cm

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alexira [117]

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In any quadrilateral where the vertices are on the circumference of a circle, the opposite angles add up to $180$ degrees.

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$x=50degrees$

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4 years ago

Read 2 more answers

What is the value of x? Enter your answer in the box. units ___Units

kotykmax [81]

The value of x is 28 .

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three angles and three vertices.

According to the Proportionality Theorem

When a line is parallel to one side and intersects the other lines at two different points then it divides both the line in similar ratio.

As in the given figure DC is parallel to AP ,

then RD : DP = RC:CA

42:15 = x: 10

42/15 = x / 10

x = 42 * 10 /15

x = 28

Therefore the value of x is 28 .

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2 years ago

Which is the solution to the system of equations?

Svetlanka [38]

Answer:

D. (-1, 3/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define System

4x + 2y = -1

3x + 4y = 3

Step 2: Rewrite System

4x + 2y = -1

[Multiplication Property of Equality] Multiply -2 on both sides: -2(4x + 2y) = 2
[Distributive Property] Distribute -2 on both sides: -8x - 4y = 2

Step 3: Redefine Systems

-8x - 4y = 2

3x + 4y = 3

Step 4: Solve for x

Combine equations: -5x = 5
[Division Property of Equality] Divide -5 on both sides: x = -1

Step 5: Solve for y

Substitute in x [Original Equation]: 3(-1) + 4y = 3
Multiply: -3 + 4y = 3
[Addition Property of Equality] Add 3 on both sides: 4y = 6
[Division Property of Equality] Divide 4 on both sides: y = 3/2

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3 years ago

A copy machine produces 40 copies in 5 minutes. How many copies can 2 points the machine make in 30 minutes and how do you know?

slavikrds [6]

Answer:

240 copies

Step-by-step explanation:

40/5 to find how many copies a minute.

You get 8 copies a minute.

Multiply 8 copies by 30 minutes to get 240 copies

3 0

3 years ago

Data collected over time on the utilization of a computer core (as a proportion of the total capacity) were found to possess a r

Marianna [84]

Answer:

The probability that the proportion of the core being used at any particular time will be less than 0.10 is 0.08146

Step-by-step explanation:

$\mu =\frac{\alpha }{\alpha +\beta } = \frac{1}{1 + \frac{\beta}{\alpha} }$ 1/3 0.33 = 33.33 %

The Probability of that the proportion of the core being used at any particular time will be less than 0.10 is given by

PDF = $\frac{x^{\alpha -1} (1-x)^{\beta -1} }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }$

where x = 0.1

α = 2 and β = 4

PDF = $\frac{0.0729 }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }$ = 1.458

CDF = $\frac{\int\limits^{0.1}_0 {t^{\alpha -1} (1-t)^{\beta -1}} \, du }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }$ = 0.08146

The probability that the proportion of the core being used at any particular time will be less than 0.10 = 0.08146.

3 0

4 years ago