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Natali5045456 [20]
3 years ago
12

Using the triangle theorem solve this triangle.​

Mathematics
2 answers:
timofeeve [1]3 years ago
4 0

Answer:

take 30 degree as reference angle

using sin rule

sin 30=p/h

1/2=8/h(do cross multiplication)

h*1=8*2

h=16

therefore hypotenuse (b)=16

now for base(a)

using cos rule

cos 30 =b/h

\sqrt{3}/2=b/16(do cross multiplication)

b*2=16*\sqrt{3}

b=16\sqrt{3}/2

b=8\sqrt{3}

b=13.85

b=13.9

Step-by-step explanation:

Blizzard [7]3 years ago
3 0

Answer:

8 and 8√3

Step-by-step explanation:

Sin90 = b/8

1 x 8 =b

b=8

Tan 30 = 8/a

1/√3 = 8/a

a=8√3

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The 2 numbers are 14 and 6. 14-6 = 8.
14 + 6 = 20
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What would be a equation for (5,2) and (0,7)?
Genrish500 [490]

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{5}}}\implies \cfrac{5}{-5}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{5}) \\\\\\ y-2=-x+5\implies y = -x+7

6 0
3 years ago
Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce
Tatiana [17]

Answer:

Sarah

Step-by-step explanation:

For Sarah

Sarah paid $3.84 for 32 ounces of carrots.

32 ounces = $3.84

1 ounce = x

Cross Multiply

x = $3.84/32

x = $0.12

For Sue

Sue paid $5.20 for 40 ounces of carrots.

40 ounces = $5.20

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Cross Multiply

x = $5.20/40

x = $0.13

Who paid less per ounce?

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8 0
3 years ago
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Listed below are amounts (in millions of dollars) collected from parking meters by a security company in a certain city. A large
irina1246 [14]

Answer:

The correct options are;

B) The mean and median for the security company are both lower than the mean and the median for the collections performed by other companies

B) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees

Step-by-step explanation:

We use the acronym SC for the security company and OC for the other company

SC OC

1.6 1.5

1.8 2.1

1.6 1.9

1.8 2.2

1.7 1.9

1.2 1.7

1.1 2.1

1.2 2.2

1.2 2.2

1.5 1.8

∑x    14.7   19.6

The mean is given by  ∑x/n

n = 10

               SC        OC

∴ Mean 1.47      1.96

The median is the \frac{n + 1}{n} th  \ term

Hence

               SC         OC

Median 1.55         2

Therefore, the mean and median for the security company are both lower than the mean and the median for the collections performed by other companies.

b) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees.

8 0
3 years ago
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