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
slavikrds [6]
3 years ago
12

HELP IS FOR TODAY GIVE ME THE ANSWER AND HOW TO DO IT

Mathematics
1 answer:
raketka [301]3 years ago
7 0

Answer:

Part 1)

a) sin(A)=\frac{9}{41}

b) sin(B)=\frac{40}{41}

c) cos(A)=\frac{40}{41}

d) cos(B)=\frac{9}{41}

e) tan(A)=\frac{9}{40}

f) tan(B)=\frac{40}{9}

Part 2) x=9.4\ units (see the explanation)

Part 3) x=12.5\ units (see the explanation)

Part 4) x=4.5\ units (see the explanation)

Part 5) x=41.8^o (see the explanation)

Part 6) x=50.2^o (see the explanation)

Part 7) x=56.9^o (see the explanation)

Step-by-step explanation:

Part 1)

step 1

Find sin(A)

we know that

sin(A)=\frac{BC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(A)=\frac{9}{41}

step 2

Find sin(B)

we know that

sin(B)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(B)=\frac{40}{41}

step 3

Find cos(A)

we know that

If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa

In this problem

Angle A and Angle B are complementary

so

cos(A)=sin(B)  ----> by complementary angles

therefore

cos(A)=\frac{40}{41}

step 4

Find cos(B)

we know that

If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa

In this problem

Angle A and Angle B are complementary

so

cos(B)=sin(A)  ----> by complementary angles

therefore

cos(B)=\frac{9}{41}

step 5

Find tan(A)

we know that

tan(A)=\frac{BC}{AC} ----> by TOA (opposite side divided by adjacent side)

substitute the given values

tan(A)=\frac{9}{40}

step 6

Find tan(B)

we know that

tan(B)=\frac{AC}{BC} ----> by TOA (opposite side divided by adjacent side)

substitute the given values

tan(B)=\frac{40}{9}

Part 2) we know that

tan(58^o)=\frac{15}{x} ----> by TOA (opposite side divided by adjacent side)

solve for x

x=\frac{15}{tan(58^o)}

x=9.4\ units

Part 3) we know that

sin(53^o)=\frac{10}{x} ----> by SOH (opposite side divided by the hypotenuse)

solve for x

x=\frac{10}{sin(53^o)}

x=12.5\ units

Part 4) we know that

cos(41^o)=\frac{x}{6} ----> by CAH (adjacent side divided by the hypotenuse)

solve for x

x=(6)cos(41^o)

x=4.5\ units

Part 5) we know that

sin(x)=\frac{4}{6} ----> by SOH (opposite side divided by the hypotenuse)

solve for angle x

x=sin^{-1}(\frac{4}{6})

x=41.8^o

Part 6) we know that

tan(x)=\frac{30}{25} ----> by TOA (opposite side divided by adjacent side)

solve for angle x

x=tan^{-1}(\frac{30}{25})

x=50.2^o

Part 7) we know that

cos(x)=\frac{12}{22} ----> by CAH (adjacent side divided by the hypotenuse)

solve for angle x

x=cos^{-1}(\frac{12}{22})

x=56.9^o

You might be interested in
What is the produce? -9x(5-2x)
Marta_Voda [28]

Answer:

279x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is an equivalent expression for 6(x-1)?
bezimeni [28]

Answer:

6x-6

Step-by-step explanation:

3 0
2 years ago
Find the volume of triangular prism with the following dimensions. Round to the nearest whole number.
defon

Answer:

<em>124.0 ft^2</em>

Step-by-step explanation:

let b = base of triangle = 7ft

h = height of triangle = 4ft

and

l = height of prism. = 8.5ft

We know,

volume of prism = area of triangular face of prizm × height of prizm

= 1/2 × b × h × l

= 1/2 × 7 × 4 × 8.5

= 7 × 2 × 8.5

= 14 × 8.5

<h2> = <u>124.0 ft^2</u></h2>
6 0
3 years ago
Maria in on the school softball team. Her team has won 3 out of 12 games. She is having an excellent season hitting the softball
GarryVolchara [31]

Ignore the part about her batting attempts, it is extra. Her winning ratio is 3/12 which is 1/4 simplified and if you do 1/4 or 3/12 you get 0.25 which is the decimal of how many games she won / how many total. To convert 0.25 to percentage multiply it by 100 to get 25% D

5 0
3 years ago
Read 2 more answers
Pls help is due for today pls
pentagon [3]

Answer:

Part A: The rate of change was greater in case of the graph.

Part B: The figure shows the graph of function A in Redline and Function B in blue line

Part C : Initial value of function B is greater than Function A.

Step-by-step explanation:

Here, Function A show graph of a line and Function show table show a set of value of x and y.

Part A). Which function show greater rate of change.

The slope of line is given by m = \frac{Y2-Y1}{X2-X1}

For function A:

Given graph passes through points (04) and (2,12)

The slope of line is m=\frac{12-4}{2-0}

                                   =\frac{8}{2}

                                   = 4

For function B:

Given the table has points (012) and (2,14)

The slope of line is m=\frac{14-12}{2-0}

                                   =\frac{2}{2}

                                   = 1

Therefore, The rate of change was greater in case of graph.

Part B). Plot the graph of a function B onto the graph of a function A

The figure shows the graph of function A in Redline and Function B in blueline

Line of function A is more tilted toward the y-axis than Line of function B.

Therefore, Rate of change of function A is greater than Function B.

Part C). Which function has greater initial value?

For function A:

From the graph of part B,

When x=0 y=4

For function B:

From the graph of part B,

When x=0 y=12

Therefore, Initial value of function B is greater than Function A.

5 0
3 years ago
Other questions:
  • ᶜᵃⁿ ᵘ ᵖˡˢ ʰᵉˡᵖ ᵐᵉ ʷⁱᵗʰ ᵗʰᵉˢᵉ
    5·1 answer
  • Help which statement is true
    14·1 answer
  • A number from 1 to 100, inclusive, is selected at random. What is the probability that the
    11·2 answers
  • A store charges their customers based on the number of items that they buy. Jane bought four items and was charged $15 and Georg
    14·1 answer
  • Let q(x)=8x-7 what is q(4) a. 25 b. 36 c. 39 d. 32
    8·1 answer
  • A plane flies from Houston to New York City in 4 hours. The distance it travelled was 1627 miles. What was the average speed of
    15·1 answer
  • Neha used 4 bananas and 5 oranges in her fruit salad. Daniel used 7 bananas and 9 oranges. Did Neha and Daniel use the same rati
    10·1 answer
  • Mikai walks her dog Rufus take regular walks
    15·2 answers
  • Pls help pls help pls I need the answer
    8·1 answer
  • the two perpendicular sides of a right angled triangle are in ratio 8:15 and its perimeter is 200. find the other side​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!