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
DedPeter [7]
3 years ago
14

the sides of a rectangle are 25 cm and 8 cm. what is the measure, to the nearest degree, of the angle formed by the short side a

nd a diagonal of the rectangle?

Mathematics
1 answer:
ycow [4]3 years ago
8 0

Answer:

72°

Step-by-step explanation:

The lengths 25 cm and 8 cm are the sides of the rectangle.

See the attached diagram of rectangle ABCD.

Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°

So, using trigonometry we can write

\tan x = \frac{AB}{BC} = \frac{25}{8} = 3.123

⇒ x = \tan ^{-1} (3.125) = 72.25 degrees ≈ 72 degrees {Rounded to nearest degree} (Answer)

You might be interested in
How would I do this
Solnce55 [7]

Answer:

  the ramp must be lowered

Step-by-step explanation:

Use the definition of the sine function to find the height of a ramp that is 8°.

  Sine = Opposite/Hypotenuse

  sin(8°) = height/8

  height = 8×sin(8°) = 1.11

The height Nate's dad allows is 1.11 feet. At 1.5 feet, the ramp is too high.

The ramp must be lowered.

4 0
3 years ago
Find the surface area of the cylinder in terms of pi. 9cm and 19cm
Natali [406]

Answer:

Surface area of cylinder= 211.5π

Step-by-step explanation:

Given,

Height of cylinder = 19cm

Diameter of cylinder = 9cm

i.e Radius of cylinder = diameter/2 = 9/2 = 4.5cm

Surface area of cylinder = 2πrh + 2πr²

Plug corresponding values of r and h in surface are formula.

Surface area of cylinder = 2πrh + 2πr² = 2π*4.5*19 + 2π*4.5²

Surface area of cylinder = 171π+40.5π = 211.5π

Hence we get surface area of cylinder= 211.5π


3 0
3 years ago
Hi please help i will mark brain list giving all my points
DochEvi [55]

Answer:

B

Step-by-step explanation:

It looks like addition to me.

3 0
3 years ago
Read 2 more answers
Find the measure of each angle indicated 37° 50° ?​
8_murik_8 [283]

Answer:

<u>93°</u>

Step-by-step explanation:

According to angle sum property, all the internal angles of a triangle add up to 180 degrees.

=> 37 + 50 + ? = 180

=> ? = 180 - 87

=> ? = <u>93°</u>

5 0
3 years ago
98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f
Colt1911 [192]

See the attached picture.

  • Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

V(x)=x(8-x)(12-x)=x^3-20x^2+96x

because the volume of a box is the product of its width (12-x), length (8-x), and height (x).

  • find the zeroes

You know right away from the factored form of V(x) that the zeroes are x=0,8,12. (zero product property)

  • sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of V(x) for any values of x between these zeros to get an idea of what the graph of V(x) looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know V(x)=0 when x=0 and x=8. So we pick some value of x between them, say x=1, and find that

V(1)=1(8-1)(12-1)=7\cdot11=77

which is positive, so V(x) will be positive for any other x between 0 and 8. Similarly we would find that V(x) for x between 8 and 12, and so on.

  • What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

  • If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants V(x)=12, so you solve

x^3-20x^2+96x=12

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

x\approx0.1284

x\approx7.6398

x\approx12.2318

but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.

  • What would be the dimensions of this box?

The box's dimensions are (x in) x (8-x in) x (12-x in).

If x\approx0.1284, then 8-x\approx7.8716 and 12-x\approx11.8716.

If x\approx7.6398, then 8-x\approx0.3602 and 12-x\approx4.3602.

8 0
3 years ago
Other questions:
  • a restaurant offers 7 appetizers and 11 main courses. in how many ways can a person order a two-course meal?
    6·2 answers
  • A worker’s pay for one week was $312. She worked 39 hours. How much was she paid per hour?
    14·2 answers
  • Write an equation in slope intercept form of the line with the given parametric equations x=8t+3 y=9t+3
    13·1 answer
  • The table represents the amount of storage space, in megabytes, used by music files on Zayd’s computer. Which statement best des
    11·2 answers
  • 5/3÷7=_____<br><br><br>plzzzzzz help me ASAP. ​
    5·1 answer
  • 12 cm<br> 4 cm<br> 4 cm<br><br> Find the volume of the rectangular prism
    13·1 answer
  • If p=20 and q=5, evaluate the following expression:3p−2q/5​
    14·2 answers
  • I need help<br> On this question
    14·1 answer
  • PLEASE HURRY<br> If the relationship is proportional, what is the missing value from the table?
    9·1 answer
  • What is the area of the figure?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!