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3 years ago

Find x from given equations sin30 + 2 cot^2 30 + x cos^2 30= 8+ tan^2 45 + cos 60

Mathematics

1 answer:

julia-pushkina [17]3 years ago

4 0

Answer

1/2+2×(sqrt3)^2+x.(sqrt3/2)^2=8+1^2+1/2

1/2+2×3+x.3/4=8+1+1/2

1/2-1/2+6+x.3/4=9

x.3/4=9-6

x.3×4=3

x.3=3×4

x.3=12

x=12/3

x=4.

so, the value of x is 4.

hope it helps you.

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A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (

denis-greek [22]

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

x = 1800 - 800

x = 1000mL

Therefore,

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

4 0

3 years ago

Horizontal plane A and vertical plane B intersect at a line. Line n is vertical on plane B and forms a right angle with horizont

Greeley [361]

Answer:

L and M - None of these

L and N - Skew

M and N - Perpendicular

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write the expression as a power

Natasha_Volkova [10]

The expression given in the question is expressed as a power is x^10

According to the law of indices, multiplication of powers becomes addition as shown:

$a^m \times a^n = a^{m+n}$

Given the following expressions;

$xx^4x^4x$

This can also be expressed as:

$= x \times x^4 \times x^4 \times x\\= x^{1+4+4+1}\\=x^{5+5}\\=x^{10$

This shows that the expression as power is x^10

Learn more here: brainly.com/question/20298728

8 0

2 years ago

Question below thanks

Over [174]

Answer:

x = 11

Step-by-step explanation:

Based on the two secants intersecting theorem, thus, we have:

(x + 5)*5 = (38 + 2)2

5x + 25 = (40)2

5x + 25 = 80

5x = 80 - 25 (subtraction property of equality)

5x = 55

Divide both sides by 5

x = 11

8 0

3 years ago

Write 2 equivalent fractions for each

Daniel [21]

3/6 = 6/12 15/30
5/6 = 25/30 10/12
6/10 = 12/20 24/40
1/2 = 4/8 5/10

5 0

3 years ago

Find x from given equations sin30 + 2 cot^2 30 + x cos^2 30= 8+ tan^2 45 + cos 60​

Find x from given equations sin30 + 2 cot^2 30 + x cos^2 30= 8+ tan^2 45 + cos 60