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Ludmilka [50]
3 years ago
7

(Kind of urgent!) Using the figure below, find the value of a. Enter your answer as a simplified radical or improper fraction (i

f necessary)

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0

Answer:

a = 15/4

Step-by-step explanation:

tan 60 = y/a

√3 = y/a

y = √3a

tan 30 = y/b

1/√3 = y / b

y = b/√3

√3 a = b/√3

3a = b

a+b = 15

a + 3a = 15

4a = 15

a = 15 / 4

Mandarinka [93]3 years ago
7 0

Answer:

15/4

Step-by-step explanation:

sin60 =z/15

z=15sin60 =(15√3)/2

cos30 =b/z

b = zcos30 = (15√3)/2 * √3/2 = 45/4

a = 15-b = 15-45/4 = 15/4

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Solve 2x^2– 5= 3x with the quadratic formula
Gwar [14]

Answer:

see below

Step-by-step explanation:

2x^2-3x-5=0

Well a=2, b=-3, c=-5

x=\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)} }{2*2}\\\\ x_1=\frac{3+\sqrt{49} }{4} =\frac{3+7}{4} =\frac{10}{4} =\frac{5}{4} \\\\x_2=\frac{3-\sqrt{49} }{4} =\frac{3-7}{4}=\frac{-4}{4} =-1

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3 years ago
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6 0
3 years ago
Read 2 more answers
What is the x-intercept (-5,-5) (10,-2)
Andre45 [30]

Answer:

(20,0)

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

(-5,-5).....x1 = -5 and y1 = -5

(10,-2)...x2 = 10 and y2 = -2

slope = (-2 - (-5) / (10- (-5) = (-2 + 5) / (10 + 5) = 3/15 = 1/5

y = mx + b

slope(m) = 1/5

use either point, I will use (10,-2)...x = 10 and y = -2

now we sub

-2 = 1/5(10) + b

-2 = 2 + b

-2 - 2 = b

-4 = b

so the equation for this line is : y = 1/5x - 4

to find the x intercept, sub in 0 for y and solve for x

y = 1/5x - 4

0 = 1/5x - 4

-1/5x = -4

x = -4 * -5

x = 20.......so ur x intercept is (20,0) <====

6 0
3 years ago
A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.
Snowcat [4.5K]
To get the area of a square, You just square one side or multiply 2 sides, I'm not sure what the rounding is, but 6.25 times 6.25 is 39.0625
4 0
3 years ago
The circumference of a circular region is shown.what type of number best describes the diameter of the circle? Explain
Nutka1998 [239]
<span>Pi / 3.14</span><span>
Where pi is defined as the ratio of a circle’s circumference divided by the diameter of the its circle. Pi has a value which is 3.1416. This pi is a constant value expressed by the quotient of its circumference over the diameter. What type of number best describes the diameter is the pi. Hence, if we describe the diameter, diameter is the quotient of pi over the circumference of a circle by itself. It can’t change in value since for every solution and quotient of a circle each calculation gets 3.14 more or less. </span>




6 0
3 years ago
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