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butalik [34]
1 year ago
11

In ΔIJK, i = 340 cm, ∠I=120° and ∠J=59°. Find the area of ΔIJK, to the nearest 10th of a square centimeter.

Mathematics
1 answer:
vlada-n [284]1 year ago
7 0

Answer:

8900 is the correct answer

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The data set below represents the total number of touchdowns a quarterback threw each season for 10 seasons of play.
Leona [35]
Here are your measures of variability. The range is found by subtracting the highest and the lowest (29-5=24). To find the interquartile range, you will find the median of the lower half of the data and the median of the higher half of sta and subtract these 2 numbers. Here is your list. I have PUT PARENTHESES around the upper and lower quartiles: 5, 17, (18), 20, 20, 21, 23, (26), 28, 29. It is like finding the middle of the entire set of data and then finding the middle of each half. Subtract 26 and 18 to find the interquartile range of 8 touchdowns.
5 0
2 years ago
Read 2 more answers
the members of the gardening group plan to build a walkway through the garden as formed by the IHOP potenuse of each of the four
aliya0001 [1]

Answer:

50.24 yards

Step-by-step explanation:

We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.

Pythagorean Theorem is Hypotenuse^2=OneLeg^2+AnotherLeg^2

For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

hyp^2=6^2+8^2\\hyp^2=100\\hyp=10

For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:

hyp^2=12^2+8^2\\hyp^2=208\\hyp=\sqrt{208}

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

15^2=12^2+eg^2\\15^2-12^2=leg^2\\leg=9

So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:

hyp^2=9^2+6^2\\hyp^2=117\\hyp=\sqrt{117}

Adding all the four hypotenuses, we get the length of the walkway:

Length of Walkway = 10+\sqrt{208} +15+\sqrt{117}\\ =50.24 yards

8 0
2 years ago
Adante begins to evaluate the expression 3 and one-third times 5 and one-fourth using the steps below. 3 and one-third times 5 a
goldenfox [79]

Answer:

(3)(5) + (1/3)(5) + (3)(1/4) + (1/3)(1/4)

Step-by-step explanation:

(3 1/3)(5 1/4) =

= (3 1/3)(5 + 1/4)

= (3 1/3)(5) + (3 1/3)(1/4)

= (3 + 1/3)(5) + (3 + 1/3)(1/4)

= (3)(5) + (1/3)(5) + (3)(1/4) + (1/3)(1/4)

7 0
2 years ago
Read 2 more answers
Find the x if the sequence 3, x, 4x/3 is (a)arithmetic and (b)geometric
jolli1 [7]

(a) When the sequence is arithmetic, sequential terms have a common difference.

... x - 3 = (4x/3) - x . . . . differences of sequential terms are equal

... (2/3)x = 3 . . . . . . . add 3-(1/3)x

... x = 9/2 . . . . . . . . . multiply by 3/2

(The arithmetic sequence is 3, 4.5, 6. The common difference is 3/2.)

(b) When the sequence is geometric, sequential terms have a common ratio.

... x/3 = (4x/3)/x . . . . . ratios of sequential terms are equal

... x^2 = 4x . . . . . multiply by 3x

... x = 4 . . . . . . . . divide by x. (the "solution" x=0 is extraneous)

(The geometric sequence is 3, 4, 16/3. The common ratio is 4/3.)


6 0
2 years ago
In a random sample of 130 students, only 7 had been placed in the wrong math class. What is the best point estimate for the prop
Ivenika [448]
We have the given  in the problem as mentioned:
A total of 130 students and only 7 had been placed in the wrong math class.
With this given, we can easily draw the proportion of all students who have been placed in the wrong math class by estimation method and the solution is shown below:

Proportion = 7/130
5 0
2 years ago
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