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ki77a [65]
2 years ago
5

Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be us

ed.
What are the missing side lengths for the triangle?
10/2
5√2 10 5√3
5
5√2
45°
B
Reset
45°
Next

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
8 0

The sides of the triangle are 5√2 , 5√2 and 10.

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices and three angles , When one angle is equal to 90 degree , it is called a Right Angled Triangle.

It is given that two angles given is 45 and 45 degree each so by using trigonometric ratios the sides can be calculated.

From the data given in the image

sin 45 ° = 5√2 / x

x = 5√2 / sin 45°

x = 10

The hypotenuse = 10

From The Pythagoras theorem

10² = (5√2)² + y²

y = (5√2) unit

Therefore the sides are 5√2 , 5√2 and 10.

To know more about Triangle

brainly.com/question/2773823

#SPJ1

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The perimeter of a rectangle garden is 54yd. One side has a length of 15 yd. Find the area of the garden.
Lelechka [254]

Answer:

=》Area = 180 sq.yd

Step-by-step explanation:

perimeter = 2l + 2b

where, we have l = 15

  • so (2×15) + 2b = 54
  • 30 + 2b = 54
  • 2b = 24
  • b = 12

now, Area = l × b = 12 × 15 = 180 sq.yd

5 0
3 years ago
Read 2 more answers
Determine the converse of the conditional statement: If the lengths of the sides of a rectangle are 6 inches and 4 inches, the a
nlexa [21]

Answer:

If the area is 24 square inches, the lengths of the sides of a rectangle are 6 inches and 4 inches.  

Step-by-step explanation:

If the lengths of the sides of a rectangle are 6 inches and 4 inches, the area is 24 square inches.  

converse switches the statements

If the area is 24 square inches, the lengths of the sides of a rectangle are 6 inches and 4 inches.  

5 0
3 years ago
Graph the solution if the this inequality 4/9x-10&gt;x/3-12
cupoosta [38]

You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you

... 4/9x -10 -x/3 +10 > x/3 -12 -x/3 +10

... 1/9x > -2 . . . . . . collect terms

Now, you can multiply by 9 to see the condition on x.

... 9(1/9x) > -2(9)

... x > -18


On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.


On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).

4 0
3 years ago
Please help me !!!!!!!!!
lidiya [134]

Answer:

f(-2) = 0

f(1) = 12

f(2) = 5

Step-by-step explanation:

f(-2) will lie in the function f(x) =x^2 - 4

\therefore f( - 2) =  {( - 2)}^{2}  - 4 = 4 - 4 = 0

f(1) will lie in the function f(x) =2x^2 +10

\therefore f(1) = 2 {(1)}^{2}  + 10 = 2 + 10 = 12

f(2) will lie in the function f(x) =5

\therefore f(2) = 5

5 0
3 years ago
Help please just answer would be fine
scZoUnD [109]

The amount of water decreases 16\frac{1}{2} pints in 12 weeks.

Solution:

The amount of water decreases in 7 weeks = 9\frac{5}{8} pints

The amount of water decreases each week is same.

Let us first change the mixed fraction into improper fraction.

9\frac{5}{8} pints = \frac{(9\times8)+5}{8}

             =\frac{77}{8} pints

The amount of water decreases in 1 week

              $=\frac{\frac{77}{8} }{7}

              =\frac{77}{8\times7}

              =\frac{11}{8}

So, the amount of water decreases in 1 week is \frac{11}{8} pints.

The amount of water decreases in 12 week

               =\frac{11}{8}\times12

               =\frac{132}{8}

               =16\frac{4}{8}

               =16\frac{1}{2} pints

Hence the amount of water decreases 16\frac{1}{2} pints in 12 weeks.

4 0
3 years ago
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