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grin007 [14]
3 years ago
8

1. If x=3-√3, prove that x² +36 x² = x²

Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

we get x^2=12-6\sqrt{3}

Step-by-step explanation:

We are given: x=3-\sqrt{3}

We need to find x^2

Note: Since question is not clear, I am assuming that we need to find x^2

Solving:

x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\

We know that (a-b)^2= a^2-2ab+b^2

Using formula and simplifying

x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\

So, we get x^2=12-6\sqrt{3}

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Solve for x. 1/4 + x = 7/10
NeX [460]

Answer:

x=9/20 or x=0.45

Step-by-step explanation:

8 0
3 years ago
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What is the value of y? Enter your answer in the box. y = An isosceles triangle with vertices labeled A, B, and C. Side B C is t
masha68 [24]

Answer:

y = 5

Step-by-step explanation:

Given:

An isosceles triangle ABC with AB = AC.

∠A = (4y+10)\°

∠B = 75\°

∠C = (3x)\°

We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.

Therefore, ∠B = ∠C

⇒ 75 = 3x

⇒ x=\frac{75}{3}=25

∴ ∠C = 3\times 25=75°

Now, the sum of all the interior angles of a triangle is always 180°.

\angle A + \angle B + \angle C=180\\(4y+10)+75+75=180\\4y+10+150=180\\4y+160=180\\4y=180-160\\4y=20\\y=\frac{20}{4}=5

Therefore, the value of 'y' is 5.

5 0
3 years ago
A square has sides of length 2 inches. What is it’s perimeter centimeters ? [1 in. = 2.5 cm]
adoni [48]

Answer:

20 cm.

Step-by-step explanation:

First, find the perimeter in inches. Since it's a square and all 4 sides are the same, you can multiply 2 x 4 to find the perimeter of 8. Now, convert it to cm by multiplying 8 by 2.5. 8 x 2.5 is 20 cm.

4 0
3 years ago
Which inequality is true if p=3.4
Serga [27]

Answer:

None of the inequalities are correct if p = 3.4

Step-by-step explanation:

Mathematical inequality is an order relation proposition existing between two algebraic expressions connected through the signs: unequal than ≠, greater than>, less than <, less than or equal to ≤, as well as greater than or equal to ≥, resulting in both expressions of different values. That is, an inequality is a relationship that exists between two quantities or expressions and, which indicates that they have different values.

To check an inequality, you must replace the inequality variable with the value of the solution.  In this case, being p=3.4, you must do it with each of the inequalities, as shown below:

A. 3p<10.2 ⇒ 3*3.4<10.2 ⇒ 10.2 <10.2  

This inequality is not true, because 10.2 is not less than 10.2, but they are equal.

B. 13.6<3.9p ⇒ 13.6<3.9*3.4 ⇒ 13.6<13.26  

This inequality is not true, because 13.6 is greater than 13.26 and not less as the inequality shows.

C. 5p>17.1 ⇒ 5*3.4 >17.1 ⇒ 17 > 17.1  

This inequality is not true, because 17 is less than 17.1 and not greater as the inequality shows.

D. 8.5> 2.5p ⇒ 8.5 >2.5*3.4 ⇒ 8.5 > 8.5

This inequality is not true, because 8.5 is not less than 8.5. These values ​​are the same.

<em><u>None of the inequalities are correct if p = 3.4</u></em>

7 0
3 years ago
The actual length of side t is 0.045 cm. Use the scale drawing to find the actual side length of w.
Nataly_w [17]

Answer:

Actual length of w is 0.075 units.

Step-by-step explanation:

Given the actual length of side t is 0.045 cm.

we have to use the scale drawing to find the actual side length of w.

As given the actual length of t is 0.045 cm.

Hence, we can find the scale factor using the lengths of t i.e actual length and after scale drawing by dividing.

Scale factor is \frac{0.9}{0.045}=20

Hence, we get the scale factor.

Now, scale factor=\frac{\text{length in figure}}{\text{actual length}}

⇒ 20=\frac{1.5}{\text{actual length}}

⇒ Actual length of w is \frac{1.5}{20}=0.075units

Option B is correct.

8 0
3 years ago
Read 2 more answers
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