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
blsea [12.9K]
3 years ago
5

Please help me find x. I really don't get it.

Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:

  x = 11

Step-by-step explanation:

The relationship between the sine and cosine functions can be written as ...

  sin(x) = cos(90 -x)

  sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values

Equating arguments of the cosine function, we have ...

 90 -(3x+4) = 8x -35

  86 -3x = 8x -35

  86 +35 = 8x +3x . . . . . add 3x+35 to both sides

  121 = 11x . . . . . . . . . . . . collect terms

  121/11 = x = 11 . . . . . . . . divide by 11

_____

<em>Comment on the solution</em>

There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...

  11 +(32 8/11)k . . . for any integer k

Another set is ...

  61.8 +72k . . . . . for any integer k

You might be interested in
a recent survey determained that 7 out of 9 students eat school lunch at least once a week. if 54 students were surveyed how man
Setler [38]

Answer:

12 students

Step-by-step explanation:

Given

Students = 54

Required

Determine the number of students that eat lunch once a week

In Sets;

If out of 9, at least 7 eats one a week then

9 - 7 eats lunch once a week

9 - 7 = 2

<em>In other words;</em>

2 out of 9 students eat lunch once a week

Number of students in this category is then calculated as thus;

Number = \frac{2}{9} * 54

Number = \frac{2 * 54}{9}

Number = \frac{108}{9}

Number = 12

3 0
3 years ago
What is the value in cents 2 quarters, 3 dimes, and 4 nickels
Gemiola [76]
112 Cents is the value
7 0
3 years ago
Read 2 more answers
Madison measured her paper. It was 2/3 feet wide and 1/4 foot long. What is the area of her paper
IRISSAK [1]

Answer:

1/6 squared feet or 0.17 squared feet

Step-by-step explanation:

Since it's a paper, we assume it is a rectangle.

Use the formula for area of a rectangle. A= lw

l is the length and w is the width.

The width is 2/3 feet and the length is 1/4 feet.

Substitute w = 2/3 and l=1/4 into the equation for area of a rectangle.

A = lw

A = (1/4)(2/3)   Multiply both numerators, then both denominators

A = 2/12    Simplify. Top and bottom are divisible by 2

A = 1/6

A ≈ 0.17 Rounded to two decimal places

When you multiply two numbers with units, the answer's unit becomes the squared unit.

Therefore the area of her paper is 1/6 squared feet, or 0.17 squared feet.

8 0
3 years ago
Read 2 more answers
Joel wanted his mom to buy a super-sized box of his favorite cereal, but his mom didn't think it would fit in her cupboard. The
Lorico [155]
<h3><u>Given</u>:-</h3>

  • Volume 6,900 cm^3
  • Length = 23 cm
  • Width = 10cm

<h3><u>To Find</u>:-</h3>

  • Height of box ??

<h3><u>Solution</u>:-</h3>

\\\diamond{\underline{\underline{\sf {\;\; Calculating\; Height\;  of  \; box :-}}}}\\

\\ \pink \star \:  \: {\underline{\boxed {\bf{  Volume_{ \red{ \{Rectangle \}}}  \: = l  \times w  \times  h }}} }\; \red\bigstar  \\

Where,

  • » l denotes Length
  • » w denotes Width
  • » h denotes Height

\\  \sf \implies \: {Volume_{ \red{ \{Rectangle \}}}  \: = l  \times w  \times  h} \\

\\  \sf \implies \: { 6,900 \:   = \: 23 \:    \times  \: 10 \:   \times  h} \\

\\  \sf \implies \: { 6,900 \:   = \:  230 \:   \times \:   h} \\

\\  \sf \implies \: {  \: h  \:   = \:   \frac{6900}{230}  \:  } \\

\\  \sf \implies \: {  \: h  \:   = \:   30 \: {cm }^{3}   \:   } \\

\\ \implies{\underline{\boxed{\frak { Height = 30  \: cm^3 }}}} \; \purple\bigstar \:  \\

\\\qquad \rule{120pt}{3pt}\\

Therefore , the Volume of the Box is 30 cm ³.

5 0
2 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Keith_Richards [23]
It should be 7.615773106
But rounded should be 7.6
5 0
3 years ago
Other questions:
  • Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container
    13·2 answers
  • Please help me with this!
    7·1 answer
  • What is -2(5) ? I need it really quick pls !
    13·2 answers
  • −4°C, 3°C, −6°C, 0°C, 5°C, −1°C, 7°C n Which is the lowest foretasted temperature?
    15·2 answers
  • I NEED HeLPn PLS PLS PLS
    15·1 answer
  • Determine whether the following events are mutually exclusive.
    12·1 answer
  • A fair two-sided coin is tossed 750 times. Find the probability the first 750 tosses land
    15·1 answer
  • Solve the equation:<br> 3x + 1 over 4y2<br><br><br><br><br><br><br><br><br> Please help
    6·1 answer
  • Please help me solve this problem​
    9·2 answers
  • In ΔABC, m∠A = 2m∠B and m∠B = 3m∠C.<br> What is m∠C?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!