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3 years ago

12

yo, can someone give me an algebraic expression with work that equals 3? & it also has to include addition & multiplicat

ion.

1 answer:

GREYUIT [131]3 years ago

6 0

(y x 2) +7= X

2 - 7= -4

and (-4 x 2) +7= 3

I hope this helps, sorry it took awhile! ^_^

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A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β? 2. A r

kirza4 [7]

Alright, lets get started.

A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β?

Please refer the diagram I have attached.

Using SOH CAH TOA,

$sin 31.2 = \frac{b}{115}$

$b = 115 sin31.2$

Plugging the value of sin 31.2

$b = 115*0.518 = 59.57$ mm

Similarly,

$cos31.2 = \frac{a}{115}$

$a = 115cos31.2$

Plugging the value of cos 31.2

$a = 115*.8553 = 98.36$ mm

Now, for angle β

tan β = $\frac{98.36}{59.57}$

tan β = 1.65

Using tan inverse

β = 58.78°

So, the answer is a = 98.36 mm, b = 59.57 mm and β = 58.78° : Answer

Hope it will help :)

A right triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. What are the measurements for c, α, and β?

Please refer the diagram I have attahced.

a and b are given, we could side c by using Pythagorean theorem.

$c^2 = a^2 +b^2$

$c^2 = 505^2 + 286^2$

$c^2 = 255025+81796$

$c^2 = 336821$

Taking square root on both sides

c = 580.36 mm

Using SOH CAH TOA,

tan α = $\frac{505}{286}$

taking tan inverse

α = 60.48°

Similarly,

tan β = $\frac{286}{505}$

taking tan inverse

β = 29.52°

So, the answer is c = 580.36 mm, α = 60.48° and β = 29.52° : Answer

Hope it will help :)

7 0

3 years ago

Three consecutive integers have a sum of 72 . Find the integers.

ANTONII [103]

Answer:

23, 24 and 25

Step-by-step explanation:

These are consecutive numbers that add up to 72.

6 0

2 years ago

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sweet-ann [11.9K]

Answer:

90°

Step-by-step explanation:

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8 0

3 years ago

Pls help thank you :)

Nastasia [14]

12 m is the area! hope i could help

5 0

2 years ago

Read 2 more answers

Refer to the accompanying technology display. The probabilities in the display were obtained using the values of n equals n=5 an

zubka84 [21]

Answer:

<u><em></em></u>

<u><em>Yes, it is reasonable to expect that more than one subject will experience headaches</em></u>

Explanation:

Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."

You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.

p = 0.732 is the probability of success (an individual experiences headaches).
n = 5 is the number of trials (number of subjects in the sample).

The meaning of the table of the distribution probability is:

The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.

To answer whether it <em>is reasonable to expect that more than one subject will experience headaches</em>, you must find the probability that:

X = 2 or X = 3 or X = 4 or X = 5

That is:

P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).

That is also the complement of P(X = 0) or P(X = 1)

1 - P(X = 0) - P(X = 1)

From the table:

P(X = 0) = 0.0014
P(X = 1) = 0.0189

Hence:

1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797

That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.

In conclusion, <em>yes, it is reasonable to expect that more than one subject will experience headaches</em>

6 0

3 years ago