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natta225 [31]
3 years ago
11

What is the length of the side opposite the 45degree angle

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

In a 45 - 45 - 90 triangle, the legs are equal and the ratio of sides from shortest to longest is 1 : 1 : √2 where 1 are the legs and √2 is the hypotenuse. In this case the leg is 10 / √2 = 5√2.

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A robot can complete 5 tasks in 2/3 hour. Each task takes the same amount of time.
melisa1 [442]

Answer:

a. 8 minutes

b. 7.5 tasks

Step-by-step explanation:

\frac{2}{3} of an hour is just 40 minutes.

Let's use a ratio:

minutes : tasks

   40      :    5

     8       :    1

   20       :   2.5

   60       :   7.5

a. 8 minutes

b. 7.5 tasks

4 0
3 years ago
Solve 5x – 2 = 13 show your work
aniked [119]

Answer:

x = 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

5x - 2 = 13

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 2 on both sides:                    5x = 15
  2. Divide 5 on both sides:                 x = 3
6 0
3 years ago
4x − 4<br> 10x − 20<br> ×<br> 15x + 15<br> 3x − 3<br> ×<br> 6x − 12<br> 20x + 20.
olganol [36]

Answer:

what is the question dudd

5 0
2 years ago
Read 2 more answers
sum of the angle measures of a triangle is 180° suppose that one angle in a triangle has a degree measure of 4X -3 and another h
Karo-lina-s [1.5K]

you would add 4x-3 to 6x-6 and equal it to 180° which is 6x+4x-6-3=180° which is 10x-9=180° then use inverse operation to solve it.

Answer: 18.9

6 0
3 years ago
1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang
Mandarinka [93]
1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythegorean theorem, as shown in the picture, the height is \frac{ \sqrt{3} }{2} a

2. if a a=25 ft, then the height is \frac{ \sqrt{3} }{2} a=\frac{ \sqrt{3} }{2} *25= \frac{1.732}{2}*25= 21. 7 (ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is 2*( \frac{1}{2} *a* \frac{ \sqrt{3} }{2}a )=\frac{ \sqrt{3} }{2} a^{2}

so the total area of the roof is \frac{ \sqrt{3} }{2} a^{2} +3al

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al


5. so the area now is \frac{ \sqrt{3} }{2} a^{2} +2al

6. now a=25 and l=2a=50

Area=\frac{ \sqrt{3} }{2} a^{2} +2al=\frac{ \sqrt{3} }{2} * 25^{2}+2*25*50=25 ^{2}  (\frac{ \sqrt{3} }{2} +4)=625*4.866

=3041.3 (ft squared)

7 0
3 years ago
Read 2 more answers
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