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Evgesh-ka [11]
3 years ago
5

Find the area of QRS. Round the answer to the nearest tenth.

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:

Option C

Step-by-step explanation:

Area of a triangle given with measures of 2 sides and angle between these sides will be,

Area of a triangle = \frac{1}{2}\text{(a.b)sinC}

Here, a and b are two sides of the triangle and C is the angle between these sides.

From the figure attached,

a = 6, b = 9 and m∠C = 110°

Substitute these values in the formula,

Area of ΔQRS = \frac{1}{2}\text{(a.b)sinC}

                        = \frac{1}{2}{(9\times 6)\text{sin}(110^{\circ})}

                        = 25.37

                        ≈ 25.4 square units

Therefore, Option C will be the answer.

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On a box of cookie mix, the instructions say that it will take no longer than 30 minutes to make the cookies. It takes t minutes
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Answer:

The inequality represents the scenario is t\leq 30.

Step-by-step explanation:

Given:

Number of minutes used to make cookie written on box = 30 minutes.

Number of minutes used to make cookies = t \ minutes

We need to write inequality represents the scenario

Solution:

We can say that;

Number of minutes used to make cookies should be less than or equal to Number of minutes used to make cookie written on box.

framing in equation form we get;

t\leq 30

Hence The inequality represents the scenario is t\leq 30.

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What are other ways to express 2:12
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Answer:  2/12 2.12

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2 years ago
Shirts are nine dollars each you have a coupon that saves you five dollars off your purchase how much would it cost you to buy 6
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7 0
3 years ago
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes
Komok [63]

Answer:

a. The probability of completing the exam in one hour or less is 0.0783

b. The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. The number of students will be unable to complete the exam in the allotted time is 8

Step-by-step explanation:

a. According to the given we have the following:

The time for completing the final exam in a particular college is distributed normally with mean (μ) is 77 minutes and standard deviation (σ) is 12 minutes

Hence, For X = 60, the Z- scores is obtained as follows:

Z=  X−μ /σ

Z=60−77 /12

Z=−1.4167

Using the standard normal table, the probability P(Z≤−1.4167) is approximately 0.0783.

P(Z≤−1.4167)=0.0783

Therefore, The probability of completing the exam in one hour or less is 0.0783.

b. In this case For X = 75, the Z- scores is obtained as follows:

Z=  X−μ /σ

Z=75−77 /12

Z=−0.1667

Using the standard normal table, the probability P(Z≤−0.1667) is approximately 0.4338.

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is obtained as follows:

P(60<X<75)=P(Z≤−0.1667)−P(Z≤−1.4167)

=0.4338−0.0783

=0.3555

​

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. In order to compute  how many students you expect will be unable to complete the exam in the allotted time we have to first compute the Z−score of the critical value (X=90) as follows:

Z=  X−μ /σ

Z=90−77 /12

Z​=1.0833

UsING the standard normal table, the probability P(Z≤1.0833) is approximately 0.8599.

Therefore P(Z>1.0833)=1−P(Z≤1.0833)

=1−0.8599

=0.1401

​

Therefore, The number of students will be unable to complete the exam in the allotted time is= 60×0.1401=8.406

The number of students will be unable to complete the exam in the allotted time is 8

6 0
3 years ago
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