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
Korvikt [17]
3 years ago
7

Name the geometric solid suggested by a file cabinet

Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Answer:

Rectangular Prism

Step-by-step explanation:

You might be interested in
Find the area of the shape shown below.
maw [93]

Answer:

The area is 28.

Step-by-step explanation:

Visualize the rectangle as 2 split squares.

The top square is easily 4x4, so the area of that part is 16.

Now visualize the bottom square as two rectangles.

To find the area of the dented side, you would use the equation of finding the area of a triangle, a=(w x h)\frac{1}{2} because the dented side is actually just one half of the rectangle on the other side.

Since it is the same height as the top square, but is 2 in width, it would be written as a=(2 x 4)\frac{1}{2} . So the area of that part is 4, and the area of the other rectangle would be just 2 x 4 so it is 8.

Totaling these numbers, you get the area of the full rectangle.

8 0
4 years ago
Read 2 more answers
What is the equation of the midline for the function f(x)? f(x)=1/2 cos(x)+5
ivolga24 [154]

Answer:

y = 5

Step-by-step explanation:

That "+5" elevates the graph of this cosine function 5 units above the x axis, and thus the "midline" you wanted is  y = 5.

6 0
3 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D
Ivahew [28]
Check the picture below.

\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D

\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D

7 0
4 years ago
The following image is a piece of tile from a kitchen floor. What does the bolded line represent?
prisoha [69]

Answer:

a line segment in the correct answer

6 0
3 years ago
Read 2 more answers
Other questions:
  • I NEED MATH HELP, QUICK! PLEASE HELP ME!<br><br><br> Find f( -7) if f(x) = 3 - 2x.
    12·1 answer
  • Eight plus the quotient of a number and 3 is -2
    7·1 answer
  • The measures of two vertical angles are represented by (3x+15) and (2x-10). what is the value of x
    7·1 answer
  • The students in Mrs. Thompson's class have to do a book report. They were given the choice to read a historical fiction, non-fic
    11·2 answers
  • I need help please!!!
    13·1 answer
  • Express 4 8/9 as an improper fraction<br><br> A 36/9<br> B 21/9<br> C 44/9<br> D 40/9
    11·1 answer
  • As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
    14·1 answer
  • Calculate the m angle CLA , given m arc AC = 160° and m arc AKC = 200°.
    7·2 answers
  • Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult ticke
    8·2 answers
  • Identify the linear function graph
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!