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erma4kov [3.2K]
2 years ago
10

Find the area of the triangle with A = 60°, b = 11 feet, and c = 8 feet. Round to the nearest tenth.

Mathematics
1 answer:
Nadya [2.5K]2 years ago
4 0

Answer:

Area = 38.1 ft² (nearest tenth)

Step-by-step explanation:

Use sine rule for area of a triangle:

Area = (1/2)ab sin(C)

        = (1/2)bc sin(A)

        = (1/2) x 11 x 8 x sin(60)

        = 22√3

        = 38.1 ft² (nearest tenth)

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A polling organization asked a nation-wide random sample of 1600 new brides (those who got married in the past 2 years) the foll
iren [92.7K]

Answer:

It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.

Step-by-step explanation:

Given that:

sample size n = 1600

sample mean \overline x = 20000

standard deviation = 5000

The objective is to choose from the given option about what most closely resembles the relevant box model.

The correct answer is:

It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.

However, if draws are made without replacement, the best estimate of the average amount for the bride will be $20,000

Similarly, the standard error for the sample mean = \dfrac{s}{\sqrt{n}}

= \dfrac{5000}{\sqrt{1600}}

= \dfrac{5000}{40}}

the standard error for the sample mean = 125

4 0
3 years ago
You are purchasing books summer reading for $4.50 each. Part A: Your total cost, C, depends on,The input is,and the output is,Pa
Crazy boy [7]

Answer:

Part A) see the explanation

Part B) C(12)=\$54

Step-by-step explanation:

Part A)

we know that

A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form k=\frac{C}{x} or C=kx

Let

C ---> is the total cost (represent the output or dependent variable)

x ----> is the number of books (represent the input or independent variable)

In this problem

we have a proportional relationship between the variables x and C

Part B)  we know that

The linear equation is given by

C=kx

The constant of proportionality k is the same that the slope or unit rate of the linear equation

In this problem the constant k is given

k=\$4.50\ per\ book

so

C=4.50x

For x=12 books

substitute in the equation and solve for C

C=4.50(12)=\$54

In function notation

C(12)=\$54

5 0
3 years ago
Can someone helllllppp me on 5 more problems like this n I’ll give u 20 dollars in cashapp plzzz I’m being serious
Vlada [557]

Answer:

y = x - 5

Step-by-step explanation:

\rm Solve \:  for  \: y: \\  \rm \longrightarrow  x  - y= 5 \\  \\  \rm Subtract  \: x  \: from  \: both \:  sides: \\  \rm \longrightarrow x - y - x = 5 - x \\ \\   \rm \longrightarrow -y = 5 - x \\  \\  \rm Multiply \:  both  \: sides  \: by  \: -1: \\  \rm \longrightarrow  - y \times ( - 1) = (5 - x) \times ( - 1) \\  \\  \rm \longrightarrow y = x - 5

5 0
3 years ago
(05.01) Which statement best describes the area of the triangle shown below?​
alukav5142 [94]

Answer:

A

Step-by-step explanation:

Area of a triangle:

A=\frac{b*h}{2}

In our case:

b=4

h=2

Plug in what we know:

A=\frac{(4)(2)}{2} \\A=4units

Find the matching solution:

A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units

X B.) it is twice the area of a rectangle of length 4 units and width two units

X C.) it is 1/2 the area of a square of side length 4 units

X D.) it is twice the area of a square of side length 4 units

6 0
2 years ago
Rewrite the expression as a single logarithm: <br> log 5 - log 7
Lady bird [3.3K]

Answer:

-0.146

Step-by-step explanation:

log 5 = 0.699

log 7 = 0.845

5 0
3 years ago
Read 2 more answers
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