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Brut [27]
2 years ago
12

What is the length of each leg of the triangle below ?

Mathematics
2 answers:
goblinko [34]2 years ago
3 0
This triangle is a special kind of isosceles triangle - it is a 45-45-90 triangle. Like other isosceles triangles, the legs of 45-45-90 triangles are congruent. However, a special property specific to 45-45-90 triangles is that their hypotenuse is equal to the product of the leg length and the square root of two.

    Hyp. = leg(√2)

The hypotenuse is given for this problem, so we can plug it into the formula above to find the leg length.

                        26 = x(√2)
                 26/(√2) = x
    26(√2)/(√2)(√2) = x
               26(√2)/2 = x
                  13(√2) = x
Answer:
E. 13√2
lara31 [8.8K]2 years ago
3 0
Heya !

Check the attachment.
Hope it helps you :)


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How many positive integers between 1000 and 9999 inclusive
bekas [8.4K]

Answer:

Step-by-step explanation:

a.

first number is  1000-1+9=1008

9)1000(1

    9

-------

     10

       9

    -----

       10

         9

       ----

         1

       ----

last number is 9999

9| 9999

  ---------

    1111 |0

    --------

9999=1008+(n-1)9

9999-1008=(n-1)9

n-1=8991/9=999

n=999+1=1000

b.

first digit=1000

last digit=9999-1=9998

2 |9999

  ---------

  |4999|1

9998=1000+(n-1)2

(n-1)2=9998-1000=8998

n-1=4499

n=4499=1=5000

c.not sure

d.

total  numbers=9000

9999=1000+(n-1)1

9999-1000=n-1

n=8999+1=9000

numbers divisible by 3=3000

first number=1002

last number=9999

9999=1002+(n-1)3

(n-1)3=9999-1002=8997

n-1=2999

n=2999+1=3000

numbers not divisible by 3=9000-3000=6000

e.

numbers divisible by 5=1800

first number=1000

last number=9995

9995=1000+(n-1)5

(n-1)5=9995-1000=8995

n-1=1799

n=1799+1=1800

numbers divisible by 7=1286

7 | 1000

  ---------

  |  142-6

1000-6+7=1001

7 | 9999

  |---------

    1428-3

9999-3=9996

first digit=1001

last digit=9996

9996=1001+(n-1)7

(n-1)7=9996-1001=8995

n-1=1285

n=1285+1=1286

numbers divisible by 35=257

first digit=1015

35 ) 1000 ( 28

        70

       ----

        300

        280

        ------

           20

           ---

1000-20+35=1015

35)9999(285

     70

    ----

     299

     280

     -----

        199

        175

        ----

          24

         ----

last digit=9999-24=9975

9975=1015+(n-1)35

(n-1)35=9975-1015=8960

n-1=8960/35=256

n=257

reqd. numbers=1800+1286-257=3019

7 0
3 years ago
There are 15 marbles in a jar: 4 red, 5 green, and 6 yellow. You select one marble and do not replace it. Then, you select anoth
Marina86 [1]
That events are independent
4 0
3 years ago
What is the image of ( 0 , -6 ) after a reflection over the line y = x?
Alla [95]

Answer:

(-6, 0)

Step-by-step explanation:

(x, y) over y=x = (y, x)

so (0, -6) will be (-6, 0).

3 0
2 years ago
Please I need help who want to earn 13 points ..
lisov135 [29]

Answer:

Triangle ISK

Step-by-step explanation:

7 0
3 years ago
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It costs $20 for 4 t shirts. Find the cost of 1 t shirt.
Natasha_Volkova [10]
20/4 = 5

$5 is the cost of 1 shirt.
3 0
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