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3 years ago

NEAD HEALP SOLVING THIS QUESTION

Mathematics

1 answer:

docker41 [41]3 years ago

6 0

Answer:

obtuse triangle, because 22^2 + 51^2 = 54^2

Step-by-step explanation:

Well an easy way to start it off would be to draw it.

When you draw it out, it makes it easier to see and determine what type of triangle it is so you can use process of elimination.

I've included a picture so you can see.

As you can see, the blue represents the angle that's different than the rest. Since its larger than 90 degrees its an obtuse angel.

Even though there's two acute angels, the triangle is obtuse.

So we can use process of elimination to determine that its not the first two.

Next, to determine if it is obtuse or acute, usually your supposed to use a^2 + b^2 = c^2

So lets do that.

A=AB (22)

B=AC (51)

C=BC (54)

C will always be the largest side.

so lets set it up. 22^2 + 51^2 > 54^2

22^2 = 484

51^2 = 2601

54^2 = 2916

484 + 2601 > 2916

3085 > 2916

The statement is true showing that its obtuse.

If c was equal to a and b then it would be right.

If a and b was less than c then it would be acute.

So the answer would be the last option.

If you ever need more help, don't be afraid to reach out. I hope that helps!

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Newly purchased tires of a particular type are supposed to be filled to a pressure of 30 psi. Let m denote the true average pres

dimulka [17.4K]

Answer:

a) 48.21 %

b) 45.99 %

c) 20.88 %

d) 42.07 %

e) 50 %

Note: these values represent differences between z values and the mean

Step-by-step explanation:

The test to carry out is:

Null hypothesis H₀ is μ₀ = 30

The alternative hypothesis m ≠ 30

In which we already have the value of z for each case therefore we look directly the probability in z table and carefully take into account that we had been asked for differences from the mean (0.5)

a) z = 2.1 correspond to 0.9821 but mean value is ubicated at 0.5 then we subtract 0.9821 - 0.5 and get 0.4821 or 48.21 %

b) z = -1.75 P(m) = 0.0401 That implies the probability of m being from that point p to the end of the tail, the difference between this point and the mean so 0.5 - 0.0401 = 0.4599 or 45.99 %

c) z = -.55 P(m) = 0.2912 and this value for same reason as before is 0.5 - 0.2912 = 0.2088 or 20.88 %

d) z = 1.41 P(m) = 0.9207 0.9207 -0.5 0.4207 or 42.07 %

e) z = -5.3 P(m) = 0 meaning there is not such value in z table is too small to compute and difference to mean value will be 0.5

d) z= 1.41 P(m) =

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3 years ago

Solve this equation y=bd-6, for b

tensa zangetsu [6.8K]

Answer:Let’s rearrange the first and third equations in terms of a :

⇒a+b=8⇒a=8−b (i)

and

⇒a+c=13⇒a=13−c(ii)

Then, let’s equate (i) and (ii) :

⇒8−b=13−c⇒b=c−5(iii)

Now, let’s use the second and fourth equations to find expressions for b and c :

⇒c−d=6⇒c=6+d(iv)

and

⇒b+d=8⇒b=8−d(v)

Let’s equate (iii) and (v) :

⇒c−5=8−d⇒c=13−d(vi)

We can now equate (iv) and (vi) :

⇒6+d=13−d⇒2d=7∴d=72

Let’s substitute this value of d into (iv) and (v) :

∴c=6+(72)=192

and

∴b=8−(72)=92

We can use either (i) or (ii) to find a .

Let’s try using (i) :

∴a=8−(92)=72

Therefore, the solutions to the system of equations is a=72 , b=92 , c=192 , and d=72 .

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Step-by-step explanation:

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