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Gennadij [26K]
3 years ago
6

Find the area of this triangle. round to the nearest tenth.​

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
5 0

1/2 ab Sin C

1/2 (15) (9) Sin (110)

63.429...

(rounded = <em><u>6</u></em><em><u>3</u></em><em><u>.</u></em><em><u>4</u></em><em><u> </u></em><em><u>f</u></em><em><u>t</u></em><em><u>^</u></em><em><u>2</u></em><em><u>)</u></em>

jok3333 [9.3K]3 years ago
5 0

Answer:

Area of the triangle : 63 .4  square feet .

Step-by-step explanation:

Given : Triangle .

To find : Find the area of this triangle. round to the nearest tenth.​

Solution : We have given

A triangle with two sides 9 ft , 15 ft an angle = 110 degree.

Area of the triangle : \frac{1}{2} side1 * side 2 * sin(c).

Plug the values

Area of the triangle : \frac{1}{2} * 9 * 15 * sin(110).

Area of the triangle : \frac{1}{2} * 9 * 15 * 0.939.

Area of the triangle : 63.3825 square feet .

Area of the triangle : 63 .4  square feet .

Therefore, Area of the triangle : 63 .4  square feet .

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Which expression is equivalent to 4.35 - 5.5?
Drupady [299]

Answer:  4.35 - 5.5 = -1.15 ≈ - (23÷20)

Step-by-step explanation:  

4.35 - 5.5= -1.15

The equivalent equation to 4.35 - 5.5 will be,

-1.15 ≈ - (23÷20)

7 0
2 years ago
What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
erastovalidia [21]

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

x = 5, x = 1

8 0
2 years ago
jane bought 5 3/5 boxes of raspberries and 2 1/4 boxes of strawberries. How much more boxes of raspberries did jane buy?
Veseljchak [2.6K]

Answer: 3 7/20

Step-by-step explanation:

5 3/5 - 2 1/4

Find GCD.

5 12/20 - 2 5/20

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The U.S. based motorcycle manufacturer says that it expects to build 138,000 motorcycles this year, up from 122,000 last year. F
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The percentage increase is 13.11%.
4 0
3 years ago
PLEASE HELP!!! 100 points (make sure to show work and be correct)
tresset_1 [31]

Answer:

1. B and E

2. B

Step-by-step explanation:

1. Looking at the line, let's try to establish a relationship between x and y. Take one point (12, 80) and divide y by x:

80 / 12 = 20 / 3

Similarly, if we take (3, 20), we get the same relationship:

20 / 3 = 20 / 3

That means we need to select an ordered pair that follows this relationship:

A. (14, 100)  ⇒  100 / 14 = 50 / 7 --- wrong

B. (15, 100)  ⇒  100 / 15 = 20 / 3 --- correct

C. (16, 100)  ⇒  100 / 16 = 25 / 4 --- wrong

D. (16, 120)  ⇒  120 / 16 = 15 / 2 --- wrong

E. (18, 120)  ⇒  120 / 18 = 20 / 3 --- correct

The possible answers are B and E.

2. Let's say Maya sells b bracelets. That means that she makes 3 * b = 3b dollars for these b bracelets. Look at the answer choices to see which one will have 3 in the x-coordinate and a multiple of 3 in the y-coordinate:

A. (3, 5)  ⇒  5 isn't a multiple of 3, so wrong.

B. (3, 9)  ⇒  3 is the x-coordinate and 9 = 3 * 3, so this is correct.

C. (3, 7)  ⇒  7 isn't a multiple of 3, so wrong.

D. (2, 3)  ⇒  3 isn't even the x-coordinate, so wrong.

The correct answer is thus B.

5 0
2 years ago
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