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chubhunter [2.5K]
3 years ago
12

1/3m + L is greater than or equal to 8 solve the inequality for L

Mathematics
1 answer:
hodyreva [135]3 years ago
3 0

Answer:

1/3m+L>8 (TAKE 1/3M to the other side of the inequality)

L is greater than or equal to 8 - 1/3m

Step-by-step explanation:

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Plz put the work clearly plzz I really need these
Dmitrij [34]

Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

8 0
2 years ago
5 miles= km. how many km in 250 miles
horsena [70]
Using that 1 mile = 1,6 km so 5 miles = 5*1,6 = 8 km 

and 250 miles = 250*1,6 = 400 km
5 0
3 years ago
Identify the conic whose equation is given.
irina1246 [14]

Answer:

Hyperbola  

Step-by-step explanation:

The polar equation of a conic section with directrix ± d  has the standard form:

r=ed/(1 ± ecosθ)

where e = the eccentricity.

The eccentricity determines the type of conic section:

e = 0       ⇒ circle

0 < e < 1  ⇒ ellipse

e = 1        ⇒ parabola

e > 1        ⇒ hyperbola

Step 1. <em>Convert the equation to standard form </em>

r = 4/(2 – 4 cosθ)

Divide numerator and denominator by 2

r = 2/(1 - 2cosθ)

Step 2. <em>Identify the conic </em>

e = 2, so the conic is a hyperbola.

The polar plot of the function (below) confirms that the conic is a hyperbola.

5 0
3 years ago
In January. The temperature in Fargo, North Dakota is -2 F. On the same day, the temperature in Cheyenne, Wyoming was 1 F. Write
zaharov [31]

Answer:

(a) 1 > -2 or -2 < 1

(b) 2 > 1 or 1 < 2

Step-by-step explanation:

Given

N = -2F --- North Dakota

C = 1F --- Cheyenne, Wyoming

Solving (a): Inequality to compare both temperatures

From the given temperatures, we can conclude that:

C > N or N < C

Because

1 > -2 i.e. 1 is greater than -2

or

-2 < 1 i.e. -2 is less than 1

Solving (b): Inequality to compare the absolute values of the temperatures

We have:

N = -2F

C = 1F

The absolute values are:

|N| = |-2|

|N| =2

|C| = |1|

|C| = 1

By comparison:

|N| > |C| or |C| < |N|

Because

2 > 1 i.e. 2 is greater than 1

or

1 < 2 i.e. 1 is less than 2

4 0
2 years ago
When 1760 is divided into 14 equal parts, the remainder is 6. What is a correct way to write the quotient?
Ilia_Sergeevich [38]

Division is the inverse of multiplication; therefore it depends on knowing the multiplication table.


The problem of division is to find what number times the Divisor will equal the Dividend. That number is called the Quotient. (Lesson 11.) To find the quotient, there is a method called short division.

5 0
3 years ago
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