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3 years ago

Solve the following equation or inequality for the unknown variable. Round answer to two decimal places if necessary.

Mathematics

1 answer:

Sonbull [250]3 years ago

3 0

Answer:

x = 2.7

Step-by-step explanation:

The given equation is :

$(3x)^2-10=56$

We need to solve it for x.

It can be rewrite as follows:

$9x^2-10=56$

Adding 10 to both sides,

$9x^2-10+10=56+10\\\\9x^2=66\\\\x=\sqrt{\dfrac{66}{9}}\\\\x=2.70$

So, the value of x is equal to 2.7.

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Write the fraction 375/12,500 as a decimal

Lubov Fominskaja [6]

$\frac{375}{12,500}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 125\\\\375:125=3\\\\12,500:125=100\\\\therefore\\\\\frac{375}{12,500}=\frac{3}{100}=0.03$

6 0

3 years ago

1+secA/sec A = sin^2 A / 1-cos A

Fofino [41]

Answer: see proof below

<u>Step-by-step explanation:</u>

$\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}$

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

$\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}$

$\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}$

$\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}$

$\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}$

$\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}$

$\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark$

3 0

3 years ago

9(x+3)=7x-2x+4 solve forx

Paladinen [302]

9x+12=5x+4
9x-5x=12-4
4x=8
x=8/4
x=2

3 0

3 years ago

Read 2 more answers

Please help me do this question

weeeeeb [17]

Answer:

2/10

Step-by-step explanation:

Im pretty sure its 2/10

have a great day:)

6 0

3 years ago

Kaylee found the surface area, in square inches of a rectangular prism by using formula. 2(5×3)+2(5×8)+2(3×8) What is the surfac

sladkih [1.3K]

Answer:

158

Step-by-step explanation:

Simplify the following:

2×5×3 + 2×5×8 + 2×3×8

5×3 = 15:

2×15 + 2×5×8 + 2×3×8

5×8 = 40:

2×15 + 2×40 + 2×3×8

3×8 = 24:

2×15 + 2×40 + 2×24

2×15 = 30:

30 + 2×40 + 2×24

2×40 = 80:

30 + 80 + 2×24

2×24 = 48:

30 + 80 + 48

| 8 | 0

| 4 | 8

+ | 3 | 0

1 | 5 | 8:

Answer: 158

6 0

4 years ago