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
FromTheMoon [43]
2 years ago
12

The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side

of the rectangle.
Mathematics
1 answer:
Daniel [21]2 years ago
8 0

9514 1404 393

Answer:

  57.1°

Step-by-step explanation:

The sides of the rectangle are adjacent and opposite the angle, so the measure is ...

  α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°

The angle between the diagonal and the short side is about 57.1°.

You might be interested in
A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 gr
miv72 [106K]

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Step-by-step explanation:

Let,

Weight of one large bead = x

Weight of one small bead = y

According to given statement;

12x+8y=88     Eqn 1

5x+2y=25      Eqn 2

Multiplying Eqn 2 by 4

4(5x+2y=25)\\20x+8y=100\ \ \ Eqn\ 3\\

Subtracting Eqn 1 from Eqn 3

(20x+8y)-(12x+8y)=100-88\\20x+8y-12x-8y=12\\8x=12

Dividing both sides by 8

\frac{8x}{8}=\frac{12}{8}\\x=1.5

Putting x=1.5 in Eqn 1

12(1.5)+8y=88\\18+8y=88\\8y=88-18\\8y=70

Dividing both sides by 8

\frac{8y}{8}=\frac{70}{8}\\y=8.75

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11334714
  • brainly.com/question/11345547

#LearnwithBrainly

5 0
2 years ago
Identify the value of p. Give your answers in simplest radical form. HELP PLEASE!!
VikaD [51]

Answer:

C

Step-by-step explanation:

using the cosine ratio to find p

cos 45° = \frac{adjacent}{hypotenuse} = \frac{6}{p}

cross- multiplying gives

p × cos45° = 6 → [ cos 45° = \frac{1}{\sqrt{2} }]

p × \frac{1}{\sqrt{2} } = 6

multiply both sides by \sqrt{2}

⇒ p = 6\sqrt{2} ( third option on list )


7 0
3 years ago
You play a game on your phone. For every correct move you make, you receive 50 points. For every second that it takes you to com
swat32
50*25= 1250
2mins 15seconds= 135 seconds
135*3= 405

1250-405 = 845

Your score is 845
8 0
3 years ago
What is the slope and y intercept of the line y= 4x -12-2x?
aleksandr82 [10.1K]
Simplifies to y=2x-12. slope intercept form is y=MX+b where m is slope and b is intercept do slope 4 and y intercept is -12
6 0
3 years ago
Read 2 more answers
Please helppppppp meeeeeeeeeeee
Paha777 [63]

Answer:

the answer is the third one

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Mike owns two hardware stores. The scatterplots show the number of items sold at a specific price for each store for one week. W
    15·2 answers
  • Julie made a scale drawing of a helicopter. She used the scale 1 in = 4 ft. If the helicopter’s rotors are 15 feet long, how lon
    6·1 answer
  • What is the simplest form of 3 to 6
    10·1 answer
  • A cereal manufacturer claims that there are an average of 200 raisins in each box of cereal. let µ represent the average number
    9·2 answers
  • (Lots of points!) (Dumb answers will be reported!)
    12·2 answers
  • 7. Solve for x, showing each of the steps.<br> (MAFS.8.EE.3.7)<br> x + 5 = -10<br> WIN
    15·1 answer
  • What is a rename in math
    5·1 answer
  • If a3 = 11 and a5 = 7 and ak is the -th term of the sequence and ak = -9, then what is the value of k?
    13·1 answer
  • Force: F = MA; Solve for m.
    6·2 answers
  • Harmony used discarded paper to make notepads for her friends she folded 5 letter size pieces of paper 3 times then cut along th
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!