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exis [7]
2 years ago
13

Which expression is equivalent to - 1 2/5 + 2 1/3

Mathematics
1 answer:
Ulleksa [173]2 years ago
6 0

Answer:

  • C. 2 1/3 - 1 2/5

Step-by-step explanation:

Let a = - 1 2/5 and b = 2 1/3

<u>We have a + b, lets compare with the options:</u>

  • A) a + (- b) = a - b, no
  • B) a - b, no
  • C) b + a = a + b, yes
  • D) b - a, no
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What is the length of the altitude of the equilateral triangle below
AVprozaik [17]

Answer

Find out the altitude of the equilateral triangle .

To proof

By using the trignometric identity.

tan\theta = \frac{Perpendicular}{base}

As shown in the diagram

and putting the values of the angles , base and perpendicular

tan 60^{\circ} = \frac{a}{4\sqrt{3}}

tan 60^{\circ} = \sqrt{3}

solving

\sqrt{3} = \frac{a}{4\sqrt{3}}

a = \sqrt{3}\times 4 \sqrt{3}

As

\sqrt{3}\times \sqrt{3} = 3

put in the above

a = 4 × 3

a = 12 units

The  length of the altitude of the equilateral triangle is 12 units .

Option (F) is correct .

Hence proved






3 0
3 years ago
Read 2 more answers
A coat that usually costs $123 is marked 1/3 off.What is the sale price of the coat. Round to the nearest dollar
Brut [27]

Answer:

$82

Step-by-step explanation:

If the coat is 1/3 off then you pay 2/3 of the price. To find a sale price, multiply the cost by 2/3.

123(2/3) = 246/3 = 82

7 0
2 years ago
Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the co
LenaWriter [7]

Answer:

4 people

Step-by-step explanation:

Let's first write an equation.

We want to find the number of tickets t

The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.

$49 = $8.50t + $15

Solve for t, first subtract $15 from both sides.

$49 - $15 = $8.50t

$34 = $8.50t   Divide both sides by $8.50

$34/$8.50 =  $8.50t/$8.50  

$34/$8.50 = t

4 = t

4 tickets meaning 4 people went.

7 0
3 years ago
What is the slope of the line whose equation is -3x y=12?
stepan [7]
-3x+y=12
y=3x + 12
slope=3
8 0
3 years ago
What is the slope of the line passing through points A(−18,24) and B(16,−8)?
Anastaziya [24]
       y2-y1     -8-24        -32     -1*2*2*2*4      16
M= --------- = ----------- = ------ = --------------- = ------
       x2-x1      16-(-18)     -2       -1*2                  1
6 0
3 years ago
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