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
dexar [7]
3 years ago
9

PLEASE SOMEONE TELL ME HOW THEY GOT 423 cm AS THE ANSWER FOR A. I NEED HELP WITH THIS QUESTION!!!!!!!!!!!!!

Mathematics
1 answer:
3241004551 [841]3 years ago
6 0

From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.

The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:

cos(40) = \frac{3.24}{h}

where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that

$h = \frac{3.24}{cos(40)}$

which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.

You might be interested in
The function f(x) = 300(0.5)x/100 models the amount in pounds of a particular radioactive material stored in a concrete vault, w
allsm [11]

The amount of the radioactive material in the vault after 140 years is 210 pounds

<h3>How to determine the amount</h3>

We have that the function is given as a model;

f(x) = 300(0.5)x/100

Where

  • x = number of years of the vault = 140 years
  • f(x) is the amount  in pounds

Let's substitute the value of 'x' in the model

f(x) = 300(0.5)x/100

f(x) = \frac{300(0.5) * 140}{100}

f(x) =\frac{21000}{100}

f(140) = 210 pounds

This mean that the function of 149 years would give an amount of 210 pounds rounded up to the nearest whole number.

Thus, the amount of the radioactive material in the vault after 140 years is 210 pounds

Learn more amount radioactive decay here:

brainly.com/question/11117468

#SPJ1

5 0
2 years ago
Stephan monthly pay stub indicates that his monthly gross income is 3800 however 800 is withheld for income and social security
Stels [109]

Step-by-step explanation:

3800 is the general amount, but before he can touch it, 800 and 200 are taken away from it for the described purposes.

so, what is left is

3800 - 800 - 200 = 2800

this is then the real amount he can do something with.

6 0
2 years ago
Jackie ordered a set of wood and metal clothes pins. Of the 276 pins, 172 were wood. What percentage of the clothes pins were me
timurjin [86]

We know that 172 of them were wood, so the rest are metal. To find that number we do:

276 - 172 = 104 metal pins.

To find the percentage that they were metal, take the number of metal pins and divide by the total number of pins:

104/276 is about 0.3768.

Multiply this by 100:

37.68

So, the percent of metal pins is 37.68%.

8 0
3 years ago
True or false? <br><br> I believe it's false
seropon [69]

That is false. The parabola opens to the right.

3 0
3 years ago
If the function f ( x ) = x 3 is transformed to f ( x ) = ( 2 x ) 3 , what will the effect be on the function’s graph?
givi [52]

Answer:

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is the first step in solving the quadratic equation x2 = StartFraction 9 Over 16 EndFraction? Take the square root of both
    5·3 answers
  • What is the slope of the line?
    8·2 answers
  • If n equals to 37cm and I equals to 12cm what is the length of M?
    13·1 answer
  • What is 3,562.653 in expanded form
    14·1 answer
  • Olve. 4 + x 7 = 2 A) -14 B) 10 C) 12 D) 42
    13·2 answers
  • Given that x = 3, y = -2 and z = 0, calculate the value of each of the following algebraic expressions: 2x + y. Answer quick ple
    14·1 answer
  • Find the loan-to-value ratio for a home appraised at $583,620.00 that the buyer will purchase for $585,000.00. The buyer plans t
    5·1 answer
  • Yesterday it took 40 minutes to drive to school. Today is took 32 minutes to drive to
    6·1 answer
  • Write and evaluate the expression.Check all that apply. Write the expression as 11 +t2 -6 Write the expression as 11 +2t -6 Writ
    7·2 answers
  • Cuantos paquetes de 5/8 de kilo harán falta para envasar 125 kilos de harina
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!