Below are 2 similar triangles

The area of triangle A is 20cm^2 work out the area of triangle B

Step-by-step explanation:

Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8  → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA                         = (1/2)2 + 4(3/8)                         = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .

Given that,

[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]

Answer: 22

Step-by-step explanation: 1/4a + 1/3a + 8 = 22

Answer:

Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.

Step-by-step explanation:

Answer:

8900

Step-by-step explanation: :þ

Answer:

x= 3/8 = 0.375 , x= -4/5= -0.8

Step-by-step explanation:

8x-3=0

8x=3

8x/8 = 3/8

x= 3/8 converted to decimal will be =0.375

for 5x+4=0

5x= -4

5x/5 = -4/5

x= -4/5 = converted to decimal will be = -0.8

Answer:

x —4/5 or 3/8

Step-by-step explanation:

hope it helps u

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Answer: the answer is 2 14/15

Step-by-step explanation:

The solution of the expressions will be 0.44.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The expressions are,

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Now,

Solve the expression as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Using the BODMAS rule to solve the expressions as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

⇒ −[−1 2/5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 x 1 / 1.26 ] - 2 / 3

⇒ - [ - 7 / 6.3 ] - 2/3

⇒ 1.1 - 2/3

⇒ 1.1 - 0.66

⇒ 0.44

Therefore,

The solution of the expressions will be 0.44.

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Answer:

-2

Step-by-step explanation:

slope = y2 - y1  / x2 - x1

= 9 - (-3)  /   -2 -4

= 12 / -6

= -2

Answer:

111

Step-by-step explanation:

U calculate the 47°&22°and u cut 69° then u put 180-69=111°

Answer:  B.  66.7%

Step-by-step explanation:

Divide 24 by 36:

24/36 = 2/3

B.  66.7%

Answer:

answer is B I just had the test

Step-by-step explanation:

Answer:

Your y intercept is 1.

Step-by-step explanation:

slope is y2-y1 over x2-x1, or 2.

slope intercept formula is y=mx+b, and if you plug values into formula you get 3=2(1)+b

and if you solve that, 2x1=2, 3-2=1.

then you get 1 as your y intercept.

Answer:

y = 0.7 * 1.2^x

Step-by-step explanation:

(1, 0.84)

0.84 = ab^1

(2, 1.008)

1.008 = ab^2

-------------------------

To find b divide the second point by the first

ab^2 / ab^1 = 1.008 / 0.84

b = 1.2

----------------------

To find a plug b = 1.2 into the first point

0.84 = a * 1.2^1

0.84 = a * 1.2

Divide both sides by 1.2

0.7 = a

------------------------

The equation is

y = 0.7 * 1.2^x

Answer:

-10u-10

Step-by-step explanation:

Answer:

11/30

Step-by-step explanation:

Let x = 0.366666666.....

Then

100x = 36.6666666....

10x =     3.6666666...

subtracting 100x - 10x eliminates the trailing 6s

90x = 33

divide both sides by 90

x = 33/90

reduce

x = 11/30

Answer:

the answer is Equal to zero

Step-by-step explanation:

hope it's help correct me if I'm wrong <3

Answer:

≥0

Step-by-step explanation:

This one may seem tricky. The denominator is ALWAYS one more than the numerator. So, let's take a look at some examples.

-2/-1

This is >0. And even if you keep going to a number as high as -10000/-9999, it will ALWAYS be >0.

0/1

Hmm...this one is equal to 0. Seems like we have ≥0 right now.

2/3

>0, right? Well, since we have expression ≥0, that's your answer!

Hope it helps!

Answer:

yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50

Answer:

0.4*0.5=0.2

Step-by-step explanation:

each shaded area is 10 by something, so we can assume this model is representing decimals

the other sides are 4 and 5, and it is in 10, so it is 0.4*0.5

0.4*0.5=0.2

Answer:

$13.80

Step-by-step explanation:

69 · 20% = 13.8

Answer:

-3

Step-by-step explanation:

Slope formula

Answer:

D) 16

Step-by-step explanation:

Find out the what is the constant of proportionality .

To prove

As given

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Then

y = kx

Where k is the constant of proportionality.

48/3k

k=16

Answer:

D

Step-by-step explanation:

Non of the other answers have negatives in them.  And you would solve with multipliation.

It's D. Look at the one above me.

Answer:

x = 8√2

Step-by-step explanation:

use the pythagorean theorem with the 2 sides being the same

16^2 = x^2 + x^2

256 = 2x^2

Divide both sides by 2

128 = x^2

Take the square root of both sides

x = √128

x = √(64 * 2)

x = 8√2

Answer:

x= [tex]8\sqrt{2}[/tex] or 11.31

Step-by-step explanation:

You know that the shape is a square that is divided making 2 triangles. They are examples of 45-45-90 degree triangles. So with this information, you know that both lengths of the triangles are equal, with a hypotenuse of 16.

Side C= 16

Side A= Side B

45-45-90 Formula

Side C= [tex]a\sqrt{2}[/tex]

16= [tex]a\sqrt{2}[/tex]

[tex](16= a\sqrt{2})^{2}[/tex]

256=[tex]2a^{2}[/tex]

128=[tex]a^{2}[/tex]

[tex]\sqrt{128}[/tex]=a

a= [tex]8\sqrt{2}[/tex] or 11.31

Answer:

Step-by-step explanation:

Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?​

so 1 apple has 1/10 gram of fat

10 apples = 1 gram of fat

10 * 4 = 40 apples have a total of 4 grams

Answer:

3s+10s+10s+3s=9+3+3+9

26s=24

s=26+24

s=50 cm

Answer:

15

Step-by-step explanation:

36/c + d = 36/4 + 6 = 9 + 6 = 15

Answer:

18/35

Step-by-step explanation:

favorable cases (in this case they are the boys, so 18) divided by possible cases (every student).

Answer:

23.6 degrees

Step-by-step explanation:

All the peoples in a group walk 240 miles.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

There are 4 groups of 20 peoples.

And, Each person walk 3 miles.

Now,

Since, There are 4 groups of 20 peoples.

So, Total number of peoples in 4 groups = 4 x 20

                                                               = 80

And,  Each person walk 3 miles.

So, The distance cover by 80 peoples = 80 x 3

                                                           = 240 miles.

Thus, All the peoples in a group walk 240 miles.

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Answer: 2.3

Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence

a recursive formula for the sequence is : An+1=An +0.5

Answer:

5x-10=60

5x=70

x=14

Hope This Helps!!!

Answer: 14

Step-by-step explanation:

Thr two angles are equal, so we can write:

5x-10 = 60

5x = 70

x = 14