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Paraphin [41]
3 years ago
12

102 x5 multiply with expanded form

Mathematics
1 answer:
Zarrin [17]3 years ago
7 0
102x5= 510
expanded form: 500+10+0= 510 (not sure if u do the +0)
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Given: △ABC, m∠A=60°
Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}}  = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08

\Rightarrow \dfrac{AC}{0.96}  = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>

<em></em>

Area of a triangle is given as:

\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)

\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}

8 0
3 years ago
During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. the first c
omeli [17]

Answer:

50x+100=y
y=550

Step-by-step explanation:

Since the first caller can win $100, you add 100 onto the end. After you add 50 for every person who answered incorrectly. X being amount tried/answered incorrectly, and Y being the amount you can win at that given time

6 0
2 years ago
Which statement best describes the faces that make up the total surface area of this composite solid?
Elena L [17]

Answer:

no

Step-by-step explanation:

7 0
3 years ago
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Find the equation of the graphed line.
Alex_Xolod [135]

example: the line is y = ax + b

The line go through 2 points ( -4 ; 0 ) and ( 0 ; -2 )

So:

  • -2 = 0a + b => b = -2
  • 0 = -4a + (-2) => a = 2/-4 = -1/2

The line is y = -1/2x - 2 ( i'm not sure)

Answer: a

Ok done. Thank to me :>

5 0
3 years ago
Find the ratio a:b, if 2a−b/6 = b/3
Tom [10]

Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

2a−b/6 = b/3

Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

2a = b/2, as 3/6 = 1/2

Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

7 0
4 years ago
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