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
sergij07 [2.7K]
3 years ago
8

Find the length of UC

Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer:

18

Step-by-step explanation:

One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.

We know JK = JH + HM + MK = 82 and JH = 22, so

82 = 22 + HM + MK

subtract 22 from both sides to isolate the unknowns

60 = HM + MK = HK

96 = HK + KU - HU

We know HK = 60

96 = 60 + KU

subtract 60 from both sides to isolate the unknown

We know KU = 36

105 = KN = KU + UC + CN

We know KU = 36 and CN = 51

105 = 36 + 51 + UC

105 = 87 + UC

subtract 87 from both sides to isolate the unknown

18 = UC

UC is what we're looking for, so the problem is solved

You might be interested in
A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =
podryga [215]

Answer:

Area of the counter top is 5.02\ m^2.

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

We need to find the area of the counter top is square meter;

Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = 18\times 0.305 = 5.49\ m

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = 3\times 0.305 = 0.915\ m

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = 5.49\times 0.915 = 5.0233\ m^2

Rounding up to 2 decimals we get;

Area of the counter top =  5.02\ m^2

Hence Area of the counter top is 5.02\ m^2.

3 0
4 years ago
A right rectangular pyramid is sliced vertically (down) at the red line by a plane not passing through the vertex of the pyramid
crimeas [40]

The cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a <u>rectangle</u>. Hence, <u>4th option</u> is the right choice.

If the peak of the rectangular pyramid is directly above the center of the base, it creates a perpendicular to the base, indicating the height of the pyramid. This type of rectangular pyramid is known as the right rectangular pyramid.

A rectangle is a quadrilateral, that is a closed figure with 4 line segments, with all four interior angles at 90°.

When we slice a right rectangular pyramid vertically down at the red line by a plane, not passing through the vertex, of the pyramid will be a dilated image of its base.

A dilated image is an enlarged or diminished image of the preimage, similar with all angles.

Thus, the cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a <u>rectangle</u>. Hence, <u>4th option</u> is the right choice.

Learn more about right triangular pyramids at

brainly.com/question/27658401

#SPJ4

For complete question, refer to the attachment.

5 0
2 years ago
A sphere has been placed inside an cylinder with the same dimensions;both have a radius of 6cm,and a height of 12cm How many cub
monitta

Answer:i think the answer is B?

Step-by-step explanation:

6 0
3 years ago
Solve 5(a – 7) 11 = 2a – 3(a 4)
oksano4ka [1.4K]
The answer is a= 77/13
7 0
4 years ago
In the summertime your friend wants to have a snow cone stand at a local grocery store parking lot. You want to make sure he act
Vitek1552 [10]
a) The total monthly cost is the sum of the fixed cost and the variable cost. If q represents the number of cones sold in a month, the monthly cost c(q) is given by 
   c(q) = 300 + 0.25q

b)
If q cones are sold for $1.25 each, the revenue is given by
   r(q) = 1.25q

c)
Profit is the difference between revenue and cost.
   p(q) = r(q) - c(q)
   p(q) = 1.00q - 300
. . . . . . slope-intercept form

d)
The equation in part (c) is already in slope-intercept form.
   q - p = 300
. . . . . . . . . . . . standard form
The slope is the profit contribution from the sale of one cone ($1 per cone).
The intercept is the profit (loss) that results if no cones are sold.

e) With a suitable graphing program either form of the equation can be graphed simply by entering it into the program.
   Slope-intercept form. Plot the intercept (-300) and draw a line with the appropriate slope (1).
   Standard form. It is convenient to actually or virtually convert the equation to intercept form and draw a line through the points (0, -300) and (300, 0) where q is on the horizontal axis.

f) Of the three equations created, we presume the one of interest is the profit equation. Its domain is all non-negative values of q. Its range is all values of p that are -300 or more.

g) The x-intercept identified in part (e) is (300, 0). You need to sell 300 cones to break even.

h) Profit numbers are
   425 cones: $125 profit
   550 cones: $250 profit
   700 cones: $400 profit
7 0
3 years ago
Other questions:
  • If y=5x-3 and 3x-y=-1, what is the value of y
    14·2 answers
  • Find the equivalent exponential expression. (43)5
    13·1 answer
  • What is the name of the lake located at letter B on the map above? Answer is C :)
    7·1 answer
  • The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the syste
    11·2 answers
  • One number is 16 more than the other and their average is 60. The numbers are *
    9·2 answers
  • The ratio of the volumes of two similar solid polyhedra is equal to the square root of the ratio between their edges. True or Fa
    11·2 answers
  • What is the measurement of a flat angle
    15·1 answer
  • Can someone break this donw for me?? please
    6·2 answers
  • It is all real number for the X values but only from the beginning point. 0 is in your domain. Write that as an inequality
    8·1 answer
  • If you roll a 6-sided die 54 times, what is the best prediction possible for the number of times you will roll a four?t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!