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
sukhopar [10]
3 years ago
10

Find the missing length of the triangle.

Mathematics
2 answers:
Law Incorporation [45]3 years ago
6 0

Answer:

29

Step-by-step explanation:

I reccomend learning the pythogream therom as it will help.

zvonat [6]3 years ago
3 0
A^2+b^2=c^2
21^2+20^2=c^2
441+400=c^2
841=c^2
square root on both sides to get the variable by itself
29=c
You might be interested in
Can someone help me with this question on Prodigy? ​
lions [1.4K]

Answer:

  8 +(3/8)√53 in² ≈ 10.73 in²

Step-by-step explanation:

Given the net of a triangular pyramid with some of the dimensions filled in, you want to find the total surface area.

<h3>Triangle base</h3>

The triangle bases identified by dashed lines will have a length equal to the hypotenuse of the right triangles with legs shown as solid lines. The legs of each of those right triangles are ...

  a = (3 in)/2 = 1.5 in

  b = 2 in . . . . . . shown as the altitude of the triangle

Then the hypotenuse is found using the Pythagorean theorem:

  c² = a² +b²

  c² = 1.5² +2² = 2.25 +4 = 6.25

  c = √6.25 = 2.5

The dashed lines are 2.5 inches long.

<h3>Triangle altitude</h3>

The altitude from the solid horizontal line to the vertex at the bottom of the figure can be found using the fact that all of the outside edge lengths of the net are the same length. That edge length is found as the length of the hypotenuse of the right triangles in the left- and right-sides of the upper portion of the net. Each of those has a leg that is (2.5 in)/2 = 1.25 in and a leg marked as 2 in.

  c² = a² +b²

  c² = 1.25² +2² = 1.5625 +4 = 5.5625

  c = (√89)/4 ≈ 2.358 . . . in

The unmarked altitude of the bottom triangle is then ...

  b² = c² -a²

  b² = 89/16 -1.5² = 53/16

  b = (√53)/4 ≈ 1.820 . . . in

<h3>Surface area</h3>

The surface area of the figure is the sum of the areas of the four triangles that make up the net. Each triangle has an area given by the formula ...

  A = 1/2bh

The left and right triangles have b=2.5, h=2, so they each have an area of ...

  A = 1/2(2.5)(2) = 2.5 . . . . in²

The center triangle has dimensions of b=3, h=2, so an area of ...

  A = 1/2(3)(2) = 3 . . . . in²

The bottom triangle has dimensions of b=3, h=(√53)/4, so an area of ...

  A = 1/2(3)(√53/4) = (3/8)√53 ≈ 2.730 . . . . in²

The total surface area is the sum of the areas of these triangles, so is ...

  A = 2.5 in² +2.5 in² +3 in² +2.73 in² = 10.73 in²

The surface area of the triangular pyramid is (64+3√53)/8 ≈ 10.73 in².

__

<em>Additional comment</em>

Often we work with pyramids that are rotationally symmetrical about a vertical line through the peak. This one is not. The altitude of the bottom triangle in the net is less than the altitude of the other triangles. This short face of the pyramid will tend to be more vertical than the other two lateral faces.

4 0
1 year ago
Find the value of x. The diagram is not to scale.
DiKsa [7]

Sum of interior angles in a pentagon=540°

148+112+2x+2x+10+90=540

360+4x=540

4x=540-360

4x=180

x=180/4

x=45°

5 0
2 years ago
Clark decides to share his 53 M&amp;M's with four friends. If he divides the M&amp;M's evenly amongst everyone (himself included
velikii [3]

Answer:

1 m&m

Step-by-step explanation:

in order to find out how many will be left you will make the number of m&ms even causing it to have an even amount left over.

5 0
2 years ago
Out of 600 seniors at a local high school, 60% went on the senior trip. At the hotel, one room was reserved for every 4 students
butalik [34]

Given:

Total number of senior students = 600

60% went on the senior trip.

One room was reserved for every 4 students.

To find:

The total number of reserved rooms.

Solution:

60% went on the senior trip from total 600 students. So, number of students who went on tripe is

600\times \dfrac{60}{100}=360

Now, one room was reserved for every 4 students. So,

\text{Required number of rooms}=\dfrac{\text{Number of students who went on tripe}}{\text{Number of students in room}}

\text{Required number of rooms}=\dfrac{360}{4}

\text{Required number of rooms}=90

Therefore, the required number of reserved rooms were 90.

4 0
2 years ago
Last month maria high the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times. Let X rep
Marrrta [24]

Alright, lets get started.

Maria hiked the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times.

x times she hiked 5 mile mountain.

So, number of mils she hiked for 5 miles will be = 5 x

Similarly,

y times she hiked 10 mile canal,

So, number of miles she hiked for canal = 10 y

So, total number of miles she hiked = 5 x +10 y

But as per question given,  she had a total of 90 miles

It means

5x + 10 y = 90

Dividing this equation with 5

x + 2 y = 18

So, the equation is x + 2 y = 18 :   Answer

Hope it will help :)




8 0
3 years ago
Other questions:
  • Coach Yip decides to order pizza delivery for the team after a game. The pizza shop is having a promotion where any large pizza
    13·2 answers
  • What is the lcm and gcf of 36 and 45
    5·2 answers
  • Suppose that a baseball is thrown upward with an initial velocity of 132 feet per second ​(90 miles per​ hour) and it is release
    5·1 answer
  • You pay $2.40 for 3/4 pound of grapes. Your friend buys a pound of grapes at the same time and estimates that he will pay $1.80.
    11·2 answers
  • What fraction is equal to 5/8
    7·2 answers
  • How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2?
    12·1 answer
  • Can yall help me with this:)
    15·1 answer
  • The length of a rectangle is 8 inches more than the width. if the perimeter is 204 inches what are the length and the width
    15·1 answer
  • Evaluate the expression when x = 2, y = 5, and z = 4.
    7·2 answers
  • If two angles have the same angle measure, then they are said to be____.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!