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Usimov [2.4K]
3 years ago
7

Given right triangle JKL what is the value of cos(L)?

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
For the right triangle to be given in name of three letters such as this, the right angle is most likely to be in the center, in this case letter K. To determine the common trigonometric properties of a certain angle we may use of the mnemonics SOH - CAH - TOA. 
                          sin angle = opposite side / hypotenuse
                          cosine angle = adjacent side / hypotenuse
                          tangent angle = opposite side / adjacent side

If we let small letter j, k, and l be the sides opposite to angles J, K, and L, respectively. Then, the cos (L) will be,
                                       cos (L) = j/k
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What’s the question?
3 0
3 years ago
A rectangle has a length of 6 cm and a width of 3 cm. Each side is doubled in length. What is the ratio of the areas of the two
valentina_108 [34]

Area  1 = 6 x 3 = 18

Area 2 = 12 x 6 = 72

Ratio = 18 : 72

Ratio = 1 : 4

5 0
4 years ago
Read 2 more answers
John buys 3 pounds of cherries and 2 pounds of bananas he pays a total of $24.95 the bananas cost $6.50 less per pound than the
Murrr4er [49]

John will pay $8.68 for the combined cost of 1 pound of banana and 1 pound of cherries.

Let: b=cost of banana per pound and c=cost of cherries per pound

Equation 1: For 3 pounds of cherries and 2 pounds of bananas, John pays a total of $24.95.

3c + 2b =$24.95

Equation 2: The cost of bananas is $6.50 less than a pound of cherries.

b= c - $6.50

We can substitute the second equation into the first one to solve for the cost of cherries per pound.

3c + (2)(c-$6.50)= $24.95

3c + 2c -$13.00 = $24.95

5c = $24.95 + $13.00

c = $7.59

Substituting the value of c to the second equation to solve for b.

b= $7.59 - $6.50 = $1.09

The combined cost of 1 pound of banana and 1 pound of cherries is $1.09 + $7.59 or $8.68.

For more information regarding the system of equations, please refer to brainly.com/question/25976025.

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4 0
1 year ago
In the figure is a right triangle ABC with AC=10cm and BC=6cm. Determine: 1.5.1 The height AB (hint: Theorem of Pythagoras)
Alexxandr [17]

Answer:

height AB is 8 cm

Step-by-step explanation:

AB= √AC^2- BC^2

= √(10)^2- (6)^2

= √100-36

= √64

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3 0
3 years ago
You want to walk from home to a clothing store that is 3/4 miles away. You stop for a rest after 1/2 miles. How much farther do
dmitriy555 [2]

Answer:

1/4 miles.

Step-by-step explanation:

If I want to walk from my house to a clothing store 3/4 of a mile away, this implies that the location is 0.75 miles from my home.

Now, if after walking 1/2 mile I decide to stop, I will have traveled 0.5 miles in total. In this way, when I get back on my way, I will have to travel 0.25 miles to reach my destination (0.75 - 0.50).

Therefore, since 1 divided by 4 equals 0.25, I have to walk 1/4 mile to reach my destination.

5 0
3 years ago
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