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
Svetllana [295]
3 years ago
12

A regular triangular pyramid has a slant height of 13 mm on a base Edge length of 8 in

Mathematics
1 answer:
vredina [299]3 years ago
5 0
One hundred and four
You might be interested in
(9q r+6qr +20g)+(-6qr -qr -11q-4q r)=
Arte-miy333 [17]
4qr+20g-11q            hopefully this would help you

6 0
3 years ago
The distance from Talamunda to Velcicrita is 700 miles. The train takes 5 hours to travel the distance. At what unit rate is the
erica [24]
The train's rate 140 mph.  700 divided by 5 equals 140.
4 0
3 years ago
Read 2 more answers
If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, find m∠D = (15x - 8)°, find m∠D.
kykrilka [37]

Answer:

67

Step-by-step explanation:

4x+3+15x-8=90(complementary angle)

x=5

now D = 15*5-8

d=67

8 0
3 years ago
Find x so that the points (x,x+1), (x+2,x+3) and (x+3,2x+4) form a right-angled triangle.
azamat

Let <em>a</em>, <em>b</em>, and <em>c</em> be vectors each starting at the origin and terminating at the points (<em>x</em>, <em>x</em> + 1), (<em>x</em> + 2, <em>x</em> + 3), and (<em>x</em> + 3, 2<em>x</em> + 4), respectively.

Then the vectors <em>a</em> - <em>b</em>, <em>a</em> - <em>c</em>, and <em>b</em> - <em>c</em> are vectors that point in directions parallel to each of the legs formed by the triangle with these points as its vertices.

If this triangle is to contain a right angle, then exactly one of these pairs of vectors must be orthogonal. In other words, one of the following must be true:

(<em>a</em> - <em>b</em>) • (<em>a</em> - <em>c</em>) = 0

<em>or</em>

(<em>a</em> - <em>b</em>) • (<em>b</em> - <em>c</em>) = 0

<em>or</em>

(<em>a</em> - <em>c</em>) • (<em>b</em> - <em>c</em>) = 0

We have

<em>a</em> - <em>b</em> = (<em>x</em>, <em>x</em> + 1) - (<em>x</em> + 2, <em>x</em> + 3) = (-2, -2)

<em>a</em> - <em>c</em> = (<em>x</em>, <em>x</em> + 1) - (<em>x</em> + 3, 2<em>x</em> + 4) = (-3, -<em>x</em> - 3)

<em>b</em> - <em>c</em> = (<em>x</em> + 2, <em>x</em> + 3) - (<em>x</em> + 3, 2<em>x</em> + 4) = (-1, -<em>x</em> - 1)

Case 1: If (<em>a</em> - <em>b</em>) • (<em>a</em> - <em>c</em>) = 0, then

(-2, -2) • (-3, -<em>x</em> - 3) = (-2)×(-3) + (-2)×(-<em>x</em> - 3) = 2<em>x</em> + 12 = 0   ==>   <em>x</em> = -6

which would make <em>a</em> - <em>c</em> = (-3, 3) and <em>b</em> - <em>c</em> = (-1, 5), and their dot product is not zero. Then the triangles vertices are at the points (-6, -5), (-4, -3), and (-3, -8).

Case 2: If (<em>a</em> - <em>b</em>) • (<em>b</em> - <em>c</em>) = 0, then

(-2, -2) • (-1, -<em>x</em> - 1) = (-2)×(-1) + (-2)×(-<em>x</em> - 1) = 2<em>x</em> + 4 = 0   ==>   <em>x</em> = -2

which would make <em>a</em> - <em>c</em> = (-3, -1) and <em>b</em> = (-1, 1), and their dot product is also not zero. The vertices are the points (-2, -1), (0, 1), and (1, 0).

Case 3: If (<em>a</em> - <em>c</em>) • (<em>b</em> - <em>c</em>) = 0, then

(-3, -<em>x</em> - 3) • (-1, -<em>x</em> - 1) = (-3)×(-1) + (-<em>x</em> - 3)×(-<em>x</em> - 1) = <em>x</em> ² + 4<em>x</em> + 6 = 0

but the solutions to <em>x</em> here are non-real, so we throw out this case.

So there are two possible values of <em>x</em> that make a right triangle, <em>x</em> = -6 and <em>x</em> = -2.

3 0
3 years ago
Please help me out!!!!
Serggg [28]

Answer:

If you are trying to solve by substitution then you have 2 different possibilities of answer forms.

First Possibility:  (Point form)   (16,8)

Second Possibility: (equation form)  x=16, y=8

<u><em>PLEASE MARK BRAINLIEST</em></u>

7 0
3 years ago
Other questions:
  • An ant population starts at 1200 for a certain colony. As each month goes by in the winter, 6.5% of the population dies off. How
    12·2 answers
  • The rectangle has a length of -2x + 10 and a width of 10. a) Find the area of the rectangle and simplify.​
    7·1 answer
  • 20% of 150 is what number?
    14·2 answers
  • Kevin says that lines p and m will eventually intersect.
    13·2 answers
  • Five submarines sink on the same day, and all five go down at the same spot where a sixth had previously sunk. How might they al
    13·1 answer
  • Edwin has £300 in his saving account
    12·2 answers
  • Use elimination and explain
    7·1 answer
  • Match the following:
    7·2 answers
  • George is reading a book. On Monday he reads 1/3 of the book. On Tuesday he reads three - tenths of the remaining pages. He has
    9·1 answer
  • Solve: 5.6 = 3.1 – 12.5|1 – 0.8x|
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!