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kari74 [83]
2 years ago
13

50 Points! find x and explain how you found it!

Mathematics
2 answers:
Anon25 [30]2 years ago
5 0

Answer:

x = 19.167

Step-by-step explanation:

/_ACB + /_ABC = 90

53 + /_ABC = 90

/_ ABC = 37

cos(/_ABC) = AB/BC

cos(37) = x/24

x = 19.167

stepan [7]2 years ago
3 0

To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:

   sin(53) = (side opposite angle of 53 degrees) / hypotenuse

    sin(53) = x / 24

     x = 24 sin(53)

    x = 19.16

Hope that helped

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Last one i need help with to move on! I have a pic of the question
adoni [48]

length = 4 yards and width = 3.5 yards

let width be w then length is 2w - 3

area = w(2w - 3) = 14 (rearrange in standard form )

2w² - 3w - 14 = 0 ← in standard form

(2w - 7 )(w + 2 ) = 0 ← in factored form

equate each factor to zero and solve for w

2w - 7 = 0 ⇒ w = 3.5

w + 2 = 0 ⇒ w = - 2

but w > 0, hence w = 3.5

width = 3.5 yards and length = (2 × 3.5 ) - 3 = 4 yards


8 0
3 years ago
The top of the circular table has a radius of 16 inches.What is the circumfrence of the tabletop? Use 3.14 for pie
puteri [66]

Answer:

100.48

Step-by-step explanation:

Using the formula : 2pi times the radius, I can plug the radius in and find the circumference. 2 times pi is 6.28, and the radius is 16. 6.28 times 16 =  100.48.

8 0
3 years ago
A quarter is 1/4 dollar. Noah has 8 quarters. How much money does he have?
Dmitry_Shevchenko [17]
Answer:
noah has $2

step-by-step explanation:
1/4 * 8 = 8/4 = 2
4 0
3 years ago
A line passes through the point (-3,-3) and had a slope of 1/2, what equation is the line?
azamat

Answer:

y + 3 = 1/2(x + 3)

Step-by-step explanation:

Point Slope Form: y - y1(y coordinate) = m(slope)(x - x1(x coordinate))

4 0
2 years ago
What is the area? Please explain steps so I can attempt to understand
yarga [219]

Answer:

12 \sqrt{2}

Step-by-step explanation:

you can use hypotenuse formula

45-45-90 isosceles right triangle

so, 45= x

x² + x² = 24²

2x² = 24²

x²= 24.12

x= \sqrt{288}  = 12 \sqrt{2}

or :

you can use this rule: if you see a 45 45 90 isosceles right triagngle (you can look picture) 45=a cm and 90 = a\sqrt{2}

cm

so ;

a \sqrt{2}  = 24

a= 12 \sqrt{2}

hope this helps ^-^

3 0
4 years ago
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