1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ser-zykov [4K]
3 years ago
15

Find the measurement indicated. Round your answers to the nearest tenth. Use Law of Sines​ or Cosines

Mathematics
2 answers:
tatuchka [14]3 years ago
3 0

Answer:

5. 34°

6. 29.7

Step-by-step explanation:

5. Using sine law

25/sin(93) = 14/sin(C)

sin(C) = 0.5592325395

C = 34.00273934°

6. Using cosine law

AC² = 23.2² + 18.1² - 2(23.2)(18.1)cos(91)

AC² = 880.507229

AC = 29.67334206

AveGali [126]3 years ago
3 0

Answer:

5. m∠C ≈ 34°

6. AC ≈ 29.7 metres

Step-by-step explanation:

5. We need to use the Law of Sines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:

\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Here, a = 25, ∠A = 93°, and c = 14, so we want to find ∠C:

\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

\frac{25}{sin93} =\frac{14}{sinC}

sinC ≈ 0.56

∠C ≈ 34°

6. We need to use the Law of Cosines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:

c^2=a^2+b^2-2abcosC

b^2=a^2+c^2-2accosB

a^2=b^2+c^2-2bccosA

Here, a = 23.2, c = 18.1, ∠B = 91°, and b = x. We want to find b, so:

b^2=a^2+c^2-2accosB

x^2=23.2^2+18.1^2-2*23.2*18.1*cos(91) ≈ 880.5

x ≈ 29.7 metres

You might be interested in
Solve the literal equation, C = 12h + 4. Justify each step
IceJOKER [234]

Answer:

slope=.083

c=4

h=-0.333..

Step-by-step explanation:

8 0
3 years ago
The expression 20a + 13c is the cost (in dollars) for adults and students to enter a science center. Find the total cost for 4 a
lapo4ka [179]

Answer:

$392

Step-by-step explanation:

Given the expression :

Total cost = 20a + 13c

a = adult

c = student

The total cost for 4 adults and 24 students

a = 4 ; c = 24

Total cost :

20(4) + 13(24)

80 + 312

= $392

3 0
3 years ago
A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic
aliya0001 [1]

Answer:

P-value =  0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, \bar{x} = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

We can calculate the p-value with the help of standard normal table.

P-value =  0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

We conclude that this college has same drinking habit as the college students in general.

7 0
3 years ago
Find the value of a. A. 57 B. 104 C. 26 D. 52​
garik1379 [7]

Answer:

Option D, 52

Answered by GAUTHMATH

5 0
2 years ago
Liam has a bag that contains pineapple chews, cherry chews, and lime chews. He
dsp73

The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Liam performs the experiment 62 times

Total number of outcomes = 62

A pineapple chew was selected 58 times.

A cherry chew was selected 2 times.

A lime chew was selected 2 times.

Now, the probability that the next chew Liam removes from the bag will be cherry chew:

P = 2/62

P = 1/31

P = 0.0322  or 0.03

Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

5 0
1 year ago
Other questions:
  • Mia is rolling a pair of 6-sided dice.
    9·2 answers
  • Multiply 3.54 × 25.8 =
    14·2 answers
  • Mr. Koury uses 9 carrots each time he makes a carrot cake. He has orders for 3 cakes. Complete the equation below to show how ma
    9·1 answer
  • Plz read the question then solve
    10·1 answer
  • The normal water level in the river is 0. Now it is 2 feet below normal.
    11·2 answers
  • What number must be placed in the box in the equation below to produce an equation that has more than one solution: 5u+3(4u-6)=-
    12·1 answer
  • Solve m+4&gt;9<br><br> solution is __
    12·1 answer
  • I need help!!!!!!!!!!! Plz
    9·1 answer
  • Find the area of the circle. Round your answer to the nearest hundredth.
    13·1 answer
  • Find the x- and y-intercepts for the following equation. Then use the intercepts to graph the equation.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!