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inessss [21]
2 years ago
12

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

Mathematics
2 answers:
RSB [31]2 years ago
7 0

Answer:

The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

BC =  10

AB = 10

ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.

c² = a² + b²

where

c = hypotenuse side = AD = 20

a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

CD = 1 / √2 × 20

CD = 20 / √2 = 20√2 / 2 = 10√2

20² - (10√2)² = AC²

400 - 100(2)  = AC²

AC² = 200

AC = √200 = 10√2

ΔABC is a right angle triangle too. Therefore,

AB² + BC² = AC²

Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

BC = 10√2 × 1 / √2

BC = 10√2 / √2 =  10

(10√2)² - 10² = AB²

200 - 100 = AB²

AB² = 100

AB = 10

Step-by-step explanation:

vaieri [72.5K]2 years ago
3 0

Answer:

Step-by-step explanation:

the first square is 12/\2 and middle square is 24 and the one at the left is 12/\3

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If a bag contains 10 red,6 yellow,24 blue,and 8 white balloons , what part-to-whole ratio of blue balloons to all balloons
Anna11 [10]

Answer:

A. 1:2.

Step-by-step explanation:

24: 10+6+8+24

24:48

\frac{24}{24} = 1

\frac{48}{24} = 2

1:2

5 0
2 years ago
(x2 + 4x2 + x3 + x) + (x3 + x + 5x + 5)
yuradex [85]

Answer:

2x³+5x²+7x+5

Step-by-step explanation:

(x² + 4x² + x³ + x) + (x³ + x + 5x + 5)

(5x²+x³+x)+(x³+6x+5)

2x³+5x²+7x+5

3 0
3 years ago
Please help with what you can !! giving brainliest answer . !!!
maks197457 [2]

Answer:

up your but

Step-by-step explanation:

3 0
2 years ago
The quotient of a number and 5, less 10, is 3
sergejj [24]
Quotient is the result of division. Assign a variable to the unknown number. Let's make it x. Write the statement as an equation.
x/5 - 10 = 3

solve for x

x/5 - 10 = 3
x/5 = 3 + 10
x/5 = 13
x = 5 × 13
x = 65 

4 0
3 years ago
(GIVING BRAINLIEST!!)
Montano1993 [528]

Answer:

6450

Step-by-step explanation:

1kg = 1000g

6.45 x 1000 = 6450

3 0
3 years ago
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