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dangina [55]
3 years ago
12

Drag one or more expressions into each box to

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

the right answer is x(x+2)

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Consider the case of a triangle with sides 5, 12, and the angle between them 90°.
Daniel [21]

Answer:

a) Applying Pithagoras Theorem

b) Trigonometric relations

c) No we can not

d) No we can not

e) See step-by-step explanation

f) See step-by-step-explanation

Step-by-step explanation:

a) The easiest method for calculating the missing side is applying Pithagoras Theorem

c²  =  a²  +  b²

c²  =  (5)²  +  (12)²      ⇒  c²  = 25 + 144    ⇒ c²  =  169    ⇒  c  = 13

b) The easiest method to find the missing angles, is to calculate the sin∠ and then look for arcsin fuction in tables.

sin ∠α = 5/13    sin ∠α = 0.3846    ⇒      arcsin (0.3846 )   α  = 23⁰

Now we can either get the other angle subtracting 180 - 90 - 23 = 67⁰

Or calculating sinβ = 12 /13    sinβ = 0.9230  arcsin(0.9230)   β = 67⁰

c) The law of cosines should not be applied to right triangles, in fact for instance in our particular case we have:

Question a)

c²  = a² + b² - 2*a*b*cos90⁰   (law of cosines ) but cos 90⁰ = 0

then c²  = a² + b² which is the expression for theorem of Pithagoras

In case you look for calculating the missing angles

c²  = a²  +  b²  - 2*5*13*cos α

169 = 25  +  144 - 2*5*13* cos α

As you can see 169 - 25 - 144 = 0

Then we can not  apply law of cosine in right triangles, we shoul apply trigonometric relations and Pithagoras theorem, and as we saw you can get the expression of Pithagoras theorem from cosine law

c²  =  a²  +  b²  - 2*a*b*cos∠90°    cos ∠ 90°  = 0

Then     c²  =  a²  +  b²

3 0
3 years ago
Is 390 a compatible number or no​
mezya [45]

Answer:

no. I believe this is the answer

4 0
3 years ago
Read 2 more answers
HELP ME PLEASE :(
Alina [70]

Correct option D) 1,185.6 inches cubed .

<u>Step-by-step explanation:</u>

Here we have , A triangular prism. The triangular base has a base of 12 inches and height of 10.4 inches. The height of the prism is 19 inches. We need to find  the volume of the triangular prism .Let's find out:

We have following parameters :

b=12 inches\\h=10.4inches\\l=19inhes

We know that , Volume of triangular prism is :

⇒ Volume = \frac{1}{2}b(h)(l)

⇒ Volume = \frac{1}{2}12(10.4)(19)

⇒ Volume = 6(10.4)(19)

⇒ Volume = 1,185.6in^3

Therefore , Correct option D) 1,185.6 inches cubed .

5 0
3 years ago
Read 2 more answers
Lemonade can be made by mixing lemon juice, sugar, and water in the ratio 1 :1 :10. Find the amount of each ingredients in 27 qu
vichka [17]

Answer: 27:27:270

Step-by-step explanation: if this ratio is in quarts then you multiply by 27 for each ratio

7 0
2 years ago
F(x) = (2x + 5)(x+3)(3x – 10) (2x - 8) has zeros at x = -3, x =-5/2, x=10/3
blondinia [14]

Answer:

B) F is always negative on the interval

5 0
3 years ago
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