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
Zarrin [17]
3 years ago
10

Select the correct answer.

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
5 0

Answer: B, 35.41, 67.87, and 76.72

Fittoniya [83]3 years ago
4 0

Answer:

A. 48.35°, 94.94°, 36.71°

Step-by-step explanation:

Given,

ABC is a triangle,

In which AB = 12 miles, BC = 15 miles and AC = 20 miles,

By the cosine law,

BC^2 = AC^2 +AB^2 -2\times AC\times AB\times cos A

2(AC)(AB)cos A=AC^2+AB^2-BC^2

\implies cos A = \frac{AC^2+AB^2-BC^2}{2(AC)(AB)}----(1)

Similarly,

cos B = \frac{BC^2+AB^2-AC^2}{2(BC)(AB)}----(2)

cos C = \frac{BC^2+AC^2-AB^2}{2(AC)(BC)}----(3)

By substituting the values in equation (1),

cos A=\frac{20^2+12^2-15^2}{2(20(12)}=0.66458

\implies m\angle A\approx 48.35^{\circ}

Similarly, from equation (2) and (3),

m\angle B\approx 94.94^{\circ}

m\angle C\approx 36.71^{\circ}

Hence, Option 'A' is correct.

You might be interested in
Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1
krok68 [10]

All integers where n ≥ 1.

We have given that the sequence,

a_{n} =4-3(n-1)

We have to find the domain for n.

<h3>What is the meaning of arithmetic sequence?</h3>

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, a_{n} =a+(n-1)d

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By  the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence  for nth term

a_{n} =4-3(n-1)

The domain for n is All integers where n ≥ 1.

To learn more about the arithmetic sequence visit:

brainly.com/question/20118982

4 0
2 years ago
What are the common factors of 15,45 and 90
AnnZ [28]
Answer= 1,3,5,15

which are in essence all on the factors of 15
4 0
2 years ago
Read 2 more answers
Solve each problem and check your answer using estimates. a. $18.79 + $2.11 + ‐$1.92 + $17.28 b. $7.45 + ‐$24.45 + $74.17 + ‐$76
Aneli [31]

The solution to the linear expressions are:

  • a. $36.26
  • b. -$19.35
  • c. $70.38

<h3>Solving linear expressions:</h3>

The solution to linear expression is determined by taking into consideration the arithmetic operations used in each linear expression.

From the information given:

a. $18.79 + $2.11 + ‐$1.92 + $17.28

By rearrangement:

= $18.79 + $2.11 + $17.28 ‐$1.92

= $36.26

b. $7.45 + ‐$24.45 + $74.17 + ‐$76.52

By rearrangement:

= $7.45  + $74.17 ‐ $24.45 ‐ $76.52

= -$19.35

c.  $98.45 − $10.63 + $2.82 − $20.26

By rearrangement:

= $98.45 + $2.82 − $10.63 − $20.26

= $70.38

Learn more about solving linear expressions here:

brainly.com/question/2030026

#SPJ1

7 0
1 year ago
Shirts are on sale at a price of $50 for 4. How many shirts can be purchased for $125?
cricket20 [7]
You can buy 10 shirts.
6 0
3 years ago
During halftime of a basketball ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 4 f
Sonbull [250]

Answer:

(a) The time the T-shirt takes to maximum height is 2 seconds

(b) The maximum height is 68 ft

(c) The range of the function that models the height of the T-shirt over time given above is 4 + 64\cdot t - 16 \cdot  t^{2}

Step-by-step explanation:

Here, we note that the general equation representing the height of the T-shirt as a function of time is

h = h_1 + u\cdot t - \frac{1}{2} \cdot g  \cdot  t^{2}

Where:

h = Height reached by T-shirt

t = Time of flight

u = Initial velocity = 64 ft/s

g = Acceleration due to gravity (negative because upward against gravity) = 32 ft/s²

h₁ = Initial height of T-shirt = 4 ft

(a) The maximum height can be found from the time to maximum height given as

v = u - gt

Where:

u = Initial velocity = 64 ft/s

v = Final upward velocity at maximum height = 0 m/s

g = 32 ft/s²

Therefore,

0 = 64 - 32·t

32·t = 64 and

t = 64/32 = 2 seconds

(b) Therefore, maximum height is then

h = 4 + 64\times 2 - \frac{1}{2} \times 32  \times  2^{2}

∴ h = 68 ft

The T-shirt is then caught 41 ft above the court on its way down

(c) The range of the function that models the height of the T-shirt over time given above is derived as

h = h_1 + u\cdot t - \frac{1}{2} \cdot g  \cdot  t^{2}

With u = 64 ft/s

g = 32 ft/s² and

h₁ = 4 ft

The equation becomes

h =4 + 64\cdot t - \frac{1}{2} \times 32  \cdot  t^{2} = 4 + 64\cdot t - 16 \cdot  t^{2}.

6 0
2 years ago
Other questions:
  • What is 1054.2 divided by 1.5
    11·1 answer
  • Somebody help with this please
    5·1 answer
  • Current scientific evidence shows that the earth is:
    14·2 answers
  • I have one half of a square and i want to divide it one eighth how many pieces would I have
    7·2 answers
  • A candy company provides samples of fudge and truffles to their store visitors. The manager authorized the store to distribute u
    12·1 answer
  • How else can the ratio 14:1 be written?<br> A. 1.4<br> B. 14/1<br> C.1/14<br> D. 1:14
    6·2 answers
  • A cosine function is graphed below. Use the drop-down menus to describe the graph. The amplitude of the graph is __ . The equati
    14·2 answers
  • Look at the table below. Plot and label points M and N on the coordinate
    15·1 answer
  • Select all the points that are on the graph of the line:<br> 2x + 4y=20
    5·1 answer
  • 2÷2563783939282727262626266262534434262788900
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!