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3 years ago

Find the area and perimeter

Mathematics

2 answers:

JulijaS [17]3 years ago

8 0

Answer: the perimeter is 40.1 feet

The area is 76 ft²

Step-by-step explanation:

The given shape contains a rectangle and a trapezoid.

The perimeter of a shape is the distance around the shape. Therefore, the perimeter of the given shape is

4 + 8 + 4 + 4.5 + 14 + 5.6 = 40.1 ft

The area of the rectangle is

8 × 4 = 32ft²

The formula for determining the area of a trapezoid is

Area = 1/2(a + b)h

Where a and b are the length of the opposite sides.

h represents the vertical height.

Area = 1/2(14 + 8)4

= 1/2 × 22 × 4 = 44ft²

Area of the shape is

32 + 44 = 76 ft²

Ulleksa [173]3 years ago

4 0

Answer:

Perimeter = 40.1 ft.

Area = 76 ft^2.

Step-by-step explanation:

The perimeter is the sum of the exterior sides.

The perimeter = 4 + 8 + 4 + 4.5 + 14 + 5.6

= 40.1.

The area = the area of rectangle + area of the trapezoid

= 8 * 4 + (8 + 14) * 4 / 2

= 32 + 44

= 76.

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Among a large group of patients recovering from shoulder injuries, it is found that 22% Visit both a physical therapist and a ch

EastWind [94]

Answer:

0.48

Step-by-step explanation:

First of all. let's recall probability formula needed for solving the problem.

We know that, If the events A and B are not mutually exclusive, the probability is:

probability of event (A or B) = probability of event A + probability of event B – p(A and B). 

This formula will be used in calculations of this problem.

Let's consider that event A is patient visiting physical therapist; event B is patient visiting chiropractor.

P (A∩B) = 0.22 (visiting both physical therapist and chiropractor) ⇔ p(A and B)

P(B) = P(A) + 0.14 [ Probability patient visiting chiropractor is 0.14 more than probability visiting physical therapist]

Patients visiting none of these is 12%

Those who visit either therapist or chiropractor are amount to 1 - 0.12 = 0.88

Now we should use the formula mentioned in the beginning of the text:

0.88 = P(A) + P(B) - 0.22 ⇒ P(A) + P(B) = 1.1

If we replace P(B) by P(A) + 0.14 ⇒ 2P(A) + 0.14 = 1.1 ⇒ 2P(A) = 1.1 - 0.14 = 0.96

So, P(A) = 0.96/2 = 0.48 [Probability of patients visiting therapist]

7 0

3 years ago

Convert 8^12 = 3x - 5 to corresponding logarithmic function.

julia-pushkina [17]

Answer:

Step-by-step explanation:

$8^{12}=3x-5\quad :\quad x=\frac{8^{12}+5}{3}\quad \left(\mathrm{Decimal}:\quad x=22906492247\right)$

$8^{12}=3x-5\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\3x-5+5=8^{12}+5\\Simplify\\\mathrm{Divide\:both\:sides\:by\:} 3\\\frac{3x}{3}=\frac{8^{12}}{3}+\frac{5}{3}\\\mathrm{Simplify}\\x=\frac{8^{12}+5}{3}$

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2 years ago

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For the equation 3x - 5y = -3, what is the value ofy when x is 1? 6/5 -6/5 5/6

Law Incorporation [45]

Answer:

y = 6/5

Step-by-step explanation:

3x - 5y = -3

Let x =1

3(1) - 5y = -3

3-5y = -3

Subtract 3 from each side

3-3-5y = -3-3

-5y = -6

Divide each side by -5

-5y/-5 = -6/-5

y = 6/5

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3 years ago

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True or false when we carry out a chai square test of Independence the alternate hypothesis states that the two relevant classif

Anna35 [415]

Answer: False

Step-by-step explanation:

degrees of freedom=(r-1)(c-1)

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3 years ago

This is a problem that I have to solve with matrixes, Please show me all of the work. I will award brainliest.

Elina [12.6K]

Answer:

The total points by Washington High School = 162 points

The total points by Johnson High School = 159 points

The total points by Roosevelt High School = 108 points

The total points by Lewis High School = 196 points

Washington High School has WON the meet.

Johnson High School came second.

The difference in the points= 2 points

Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

About Washington High School

10 first places = 10 x ( 10) = 100 points

6 second places = 6 x ( 8) = 48 points

2 first places = 2 x ( 7) = 14 points

So, the total points by Washington High School = Sum of all points

= 100 + 48 + 14 = 162 points .............. (1)

About Johnson High School

8 first places = 8 x ( 10) = 80 points

9 second places = 9 x ( 8) = 72 points

1 first places = 1 x ( 7) = 7 points

So, the total points by Johnson High School = Sum of all points

= 80 + 72 + 7 = 159 points .............. (2)

About Roosevelt High School

4 first places = 4 x ( 10) = 40 points

5 second places = 5 x ( 8) = 40 points

4 first places = 4 x ( 7) = 28 points

So, the total points by Roosevelt High School = Sum of all points

= 40 + 40 + 28 = 108 points .............. (3)

About Lewis High School

3 first places = 3 x ( 10) = 30 points

3 second places = 3 x ( 8) = 24 points

6 first places = 6 x ( 7) = 42 points

So, the total points by Lewis High School = Sum of all points

= 30 + 42 + 24 = 96 points .............. (4)

Now, comparing all four equation, we get that:

Washington High School has WON the meet.

Johnson High School came second.

The difference in the points = 162 - 159 = 2 points

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3 years ago