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inessss [21]
3 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]3 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]3 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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Just 18-23 please! ty​
serious [3.7K]

Answer:

The answer is -5.

Step-by-step explanation:

Step 1: If you want to get the answer easier, you should use the number line way.

Step 2: If you don't know how to use a number line then go backwards from 18 until you have are done counting, for example;

17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4,<em><u> -5.</u></em>

Since -5 ( negative five ) is the 23 ( twenty-third ) number you counted back from, you are done counting and now you have gotten your answer of -5!

-rve9

3 0
3 years ago
a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has
Sloan [31]

Answer:

The asnwer is 12100 cm^2 of plastic without lid

Step-by-step explanation:

There 6 sides in a box, but there is no lid so only 5 sides.

Calulate the area of all 5 sides and add them up.

( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )

=12100 cm^2

4 0
4 years ago
3/4 to the 3rd power
spin [16.1K]

The number 3/4 to the power 3 is equal to 27/64.

Given that the number is 3/4 and we are required to find the value of that number to the power 3.

In mathematics, a power series is basically an infinite series of the form where aₙ represents the coefficient of the nth term and c is a constant.

Number=(3/4)^{3}

To find the value of 3/4 to the power 3, we have to multiply 3/4 by 3/4 two times.

(3/4)^{2}=3/4 *3/4 *3/4

=27/64

Hence the number 3/4 to the power 3 is equal to 27/64.

Learn more about number at brainly.com/question/1746829

#SPJ9

8 0
2 years ago
Factor by grouping.......
Gekata [30.6K]

Answer:

A. (7n-1) (8n-1)

Step-by-step explanation:

56n^2 -8n-7n+1

56n^2 -8n       -7n+1

Factor out 8n from the first group   and -1 from the second group

8n (7n-1)     -1(7n-1)

Factor out the (7n-1)

(7n-1) (8n-1)

7 0
3 years ago
Simplify this expression (q10)3
mash [69]
Use\ (a^n)^m=a^{nm}\\\\(q^{10})^3=q^{10\cdot3}=q^{30}
4 0
3 years ago
Read 2 more answers
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