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3 years ago

Solve for x. Round your answer to the nearest whole number.

Mathematics

1 answer:

gtnhenbr [62]3 years ago

8 0

Answer:

C. x=12

Step-by-step explanation:

imagine a circle with is center being the corner with the 40 degree angle. and a radius of 19.

and now turn the picture by 90 degrees or 270 degrees (not important, this would be just to visualize things better).

x is actually sine of the 40 degree angle multiplied by the radius (19).

x = sin(40)×19 = 12 (12.21296...)

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Which expression has a value of 22? A. 14 + 2 x 5. B. (14+2) x 5 C. 24 - 6÷ 3. D. (24 - 6) ÷ 3

zimovet [89]

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

A. 14 + 2 × 5 = 14 + 10 = 24 ≠ 22

B. (14 + 2) × 5 = 16 × 5 = 80 ≠ 22

C. 24 - 6 ÷ 3 = 24 - 2 = 22

D. (24 - 6) ÷ 3 = 18 ÷ 3 = 6 ≠ 22

<h3>Answer: C.</h3>

5 0

3 years ago

Read 2 more answers

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

3 years ago

Which expression is equivalent to 1/3b+2/3b−5/6(b+1)?

s344n2d4d5 [400]

First convert -5/6(b+1) to -5/6b-5/6 which looks like:
1/3b+2/3b-5/6b-5/6
second add 1/3b+2/3b=3/3b, convert to 6/6b so:
6/6b-5/6b-5/6
subtract 6/6b-5/6b = 1/6b so:
1/6b-5/6 is the answer

3 0

3 years ago

What is 3×10^-2 in standerd notation??

Gemiola [76]

Answer: 0.03

Step-by-step explanation:

7 0

3 years ago

A squirrel moved 200 meters in 7,200 seconds. What was the speed of the squirrel in meters per hour? *

kati45 [8]

Answer:

100 meters per hour.

Step-by-step explanation:

7,200 seconds / 60 = 120 minutes

120 minutes / 60 = 2 hours

200 meters / 2 hours = 100 meters

Since the squirrel moved 200 meters in 2 hours, the squirrel moved 100 metres per hour.

7 0

3 years ago