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3 years ago

How to solve this equation?

Mathematics

1 answer:

Novay_Z [31]3 years ago

6 0

Answer:

x = √(28), or x = 5.292

Step-by-step explanation:

First you distribute the square to the values inside of the parentheses. so it ends up looking like this

5(x^2 - 25) - 9 = 6

add 9 to both sides

so its 5(x^2 - 25) = 15

Then distribute the multiplication of 5 to the contents within the parentheses

so it would be 5x^2 - 125 = 15

add 125 to both sides

you get 5x^2 = 140

divide by 5 on both sides

you get x^2=28

then, take the square root of both sides to reverse the square

√(x^2)=√(28)

and in the end you get x=5.292

but √(28) will probably be fine if your teacher doesn't want u to solve for that kind of stuff.

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Please help me with this!!

nydimaria [60]

Answer:

Step-by-step explanation:

these triangles are not similar, you can tell, b/c the one given angle and that they are both right triangles, so you also know that the other angle , that is not given is not the same, in the two. hence the sides are not the same lengths or ratios of each other. they are NA

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2 years ago

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probabilit

goldenfox [79]

There are 10 juice boxes in the cooler altogether.
2 of them are grape.

The first time Jill pulls one out with her eyes closed,
the probability that it's a grape is

2 / 10 .

If that try is successful, then there are 9 boxes left in the cooler,
and one of them is grape.

If she already has one grape, and reaches in again with her eyes
closed, the probability of pulling out the second grape is

1 / 9 .

The probability of both events happening in two tries is

(2/10) x (1/9) = 2/90 = 1/45 = (2 and 2/9) percent .

6 0

3 years ago

Read 2 more answers

What is one possible solution for the triangle below?

elixir [45]

Answer:

segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

Explanation:

1) Given two side lenghts and one angle you can use sine law:

$\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}$

2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:

$\frac{sinZ}{43} = \frac{sin68}{40}$

From which you can clear sinZ and get:

sinZ = 43 × sin(68) / 40 = 0.9967

⇒ Z = arcsine(0.9967) ≈ 85.36°

3) The third angle can be determined using 85.36° + 68° + X = 180°

⇒ X = 180° - 85.36° - 68° = 26.64°.

4) Finally, you can apply the law of sine to obtain the last missing length:

$\frac{x}{sin(26.64)} = \frac{40}{sin(68)}$

From which: x = 40 × sin(26.64°) / sin(68°) = 19.34 in

The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

5 0

3 years ago

Read 2 more answers

Simplify this ratio completely 24/16<br>

Bas_tet [7]

Answer:

3/2 or 1.5

Step-by-step explanation:

24/16 = 12/8

12/8 = 6/4

6/4 = 3/2

So, if you want fraction it's 3/2 and decimal is 1.5

5 0

3 years ago

Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D

Lunna [17]

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem:

3 shirts from a set of 17.

Then, 3 shirts from a set of 20.

They are independent, hence, to find the total, we multiply both combinations.

$T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200$

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

5 0

2 years ago