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SOVA2 [1]
3 years ago
11

Find the lengths of the remaining sides of the triangle. c = 14 a is 60 degrees b is 30 degrees a = b =

Mathematics
1 answer:
egoroff_w [7]3 years ago
4 0

Answer:

  • a=7√3
  • b=7

Step-by-step explanation:

Angle C is ...

  C = 180° -A -B = 180° -60° -30° = 90°

This is a right triangle with hypotenuse length 14.

  a = c·sin(A) = 14·sin(60°) = 7√3

  b = c·sin(B) = 14·sin(30°) = 7

The remaining sides are b=7 and a=7√3.

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What is the value of x in 2/5(4x-3)-2x=4/5-x
gavmur [86]

Answer:

I think the answer is x = 10/3

Step-by-step explanation:

I hope this helps :)

3 0
3 years ago
The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents th
dedylja [7]

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)  where l is the length and w is the width

  =2( 7h+8 + 2h-6)

Combine like terms

  = 2( 9h+2)

Distribute

   = 18h +4

4 0
3 years ago
Helpppp meeeee outttttt pleaseeeee ASAPPPP!!!!
Ilya [14]

Answer:

\boxed{\sf sin\ C =\frac{40}{41}}

Step-by-step explanation:

We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .

We know that the ratio of sine is perpendicular to hypontenuse .

\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}

Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,

\sf\longrightarrow sinC =\dfrac{ p}{h}\\\\\sf\longrightarrow sin\ C =\dfrac{AB}{AC}

Substitute the respective values ,

\sf\longrightarrow \boxed{\blue{\sf sin\ C =\dfrac{40}{41}}}

<u>Hence the required answer is 40/41.</u>

6 0
3 years ago
n a survey about favorite fruits, 28 people chose apples, 17 chose oranges, and the rest chose pears. If 60 people were surveyed
nordsb [41]

Based on the number of people who chose the other fruits, the percentage of people who chose pears was <u>25%. </u>

<h3>Number of people who chose pears </h3>

= Number of participants - Number who chose apples - Number who chose oranges

= 60 - 28 - 17

= 15 people

<h3>Percentage who chose pears </h3>

= Number of people who chose pears / Total number of people x 100%

= 15 / 60 x 100%

= 25%

In conclusion, 25% chose pears.

Find out more on percentages at brainly.com/question/13516343.

7 0
2 years ago
What is the image of (0,-8)(0,−8) after a reflection over the line y=-xy=−x?
AnnZ [28]

Answer:

(8, 0 )

Step-by-step explanation:

under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , then

(0, - 8 ) → (8, 0 )

5 0
2 years ago
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