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2 years ago

In a triangle, PQR, Q= 72 degree, R= 32 degree and PR= 12. find PQ.

Mathematics

1 answer:

tia_tia [17]2 years ago

8 0

Answer:

PQ=6,69 units

Step-by-step explanation:

b/Sin32°=c/Sin72°

PQ/Sin32°=12/Sin72°

PQSin72°=12Sin32°

PQ=12Sin32°/Sin72°

PQ=6.69 units

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mylen [45]

The cafeteria sold 41 corn chips and 80 potato chips.

Step-by-step explanation:

Let,

Corn chips = x

Potato chips = y

Price of corn chips = $0.80

Price of potato chips = $0.60

According to given statement;

x+y= 121 Eqn 1

0.80x+0.60y=80.80 Eqn 2

Multiplying Eqn 1 by 0.80

$0.80(x+y= 121)\\0.80x+0.80y=96.80\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(0.80x+0.80y)-(0.80x+0.60y)=96.80-80.80\\0.80x+0.80y-0.80x-0.60y=16\\0.20y=16$

Dividing both sides by 0.20

$\frac{0.20y}{0.20}=\frac{16}{0.20}\\y=80$

Putting y=80 in Eqn 1

$x+80=121\\x=121-80\\x=41$

The cafeteria sold 41 corn chips and 80 potato chips.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Mr. Budas needs 2 feet of trim molding to put around one of the

const2013 [10]

I would say he can because 1+1 = 2

7 0

2 years ago

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r

Lady bird [3.3K]

Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%

Step-by-step explanation:

Given data;

lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min

hence, height = 1 / ( 52.0 - 50.0) = 1 / 2

now the probability that the class length is between 50.8 and 51 min = ?

P( 50.8 < X < 51 ) = base × height

= ( 51 - 50.8) × 1/2

= 0.2 × 0.5

= 0.1 ≈ 10%

therefore the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%

5 0

2 years ago

Based on the survey results from 300 selected students in the Burbank School District (BSD), the 98% confidence interval used to

Pavlova-9 [17]

Answer:

follows are the solution to this question:

Step-by-step explanation:

Please find the correct question in the attached file:

The formula for calculating the Confidence interval of proportion:

$\to CI=\hat{p} \pm Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to \hat{p}=\frac{\text{lower limit +upper limit}}{2}\\$

$=\frac{0.48+0.60}{2}\\\\=\frac{1.08}{2}\\\\=0.54$

The number of learners with access to working at home on a computer:

$= 0.54 \times 300 \\\\=162$

Lower limit =0.48

upper limit = 0.60

$\to margin \ error = \frac{\text{upper limit - lower limit}}{2}\\$

$=\frac{0.60-0.48}{2}\\\\=\frac{0.12}{2}\\\\= 0.06$

5 0

3 years ago

Find the greatest common factor of x²y and xy²

balandron [24]

Answer:

Step-by-step explanation:

Let's take a look at what factors $x^2y$ and $xy^2$ have in common.

$x^2y$ is composed of $x^2$ and y, and $xy^2$ is composed of x and $y^2$ . Notice that both x and y are factors of them, so the gcf is xy.

8 0

3 years ago