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3 years ago

What's the value of the4 in 3.954

Mathematics

1 answer:

Natasha2012 [34]3 years ago

7 0

The four is in the thousandths place.

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Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va

dem82 [27]

(x² + 4x - 45)/(x² + 10x + 9)

Numerator = N = x² + 4x - 45 
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)

Denominator = D = x² + 10x + 9 
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)

Hence, the given expr. = N/D 
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)

Restrictions : x ≠ - 1, x = 5 

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

7 0

3 years ago

Read 2 more answers

Pls help me I’ll give you 15 points

zaharov [31]

Answer:

number one is i thinks 10000000

Step-by-step explanation:

6 0

2 years ago

Question 3 0.6 pts The following two right triangles are similar.If side CB = 33. side AB = 12, and side DE - 4. what is the len

Leno4ka [110]

Answer:

EF = 11

Step-by-step explanation:

AD/DE = 3

Therefore, DC/3 = EF

33/3 = 11

8 0

3 years ago

Find the value of the trig function indicated

Lera25 [3.4K]

Answer:

$\cos(\theta)=\frac{4}{5}$

Step-by-step explanation:

Step 1:

Let us find the missing side. We know this is a right triangle, so we can use the pythagorean thereom to find the last side. Let us set 12 as variable a, 20 as variable c, and the unknown side as variable b.

$a^2+b^2=c^2\\12^2_b^2=20^2\\b^2=400-144\\b^2=256\\b=\pm16$

We do know that a length can never be negative, so the side b would be 16.

Step 2:

According to SOHCAHTOA, cosine is utilizes the adjacent and hypotenuse of the given angle theta. Let us write the equation:

$\cos(\theta)=\frac{adjacent}{hypotenuse} \\\\\cos(\theta)=\frac{16}{20} \\\\\cos(\theta)=\frac{4}{5}$

I hope this helps! Let me know if you have any questions :)

6 0

3 years ago

1. Find 1% of a number: a) 400 b) 2,500 c) 657 d) 12

Nadusha1986 [10]

Step-by-step explanation:

$a) \: 1\% \: of \: 400 = \frac{1}{100} \times 400 = 4 \\ \\ b) \: 1\% \: of \: 2500 = \frac{1}{100} \times 2500 = 25 \\ \\ c) \: 1\% \: of \: 657= \frac{1}{100} \times 657 = 6.57 \\ \\ d) \: 1\% \: of \: 12= \frac{1}{100} \times 12 = 0.12 \\$

5 0

3 years ago