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Andru [333]
2 years ago
5

35 POINTS - question 31 please!

Mathematics
1 answer:
ryzh [129]2 years ago
5 0

Area is Length x width:

(2x+5) * x = 420

Distributive property:

2x^2 +5x = 420

Subtract 420 from both sides:

2x^2 + 5x - 420 = 0

Using the quadratic formula:

a = 2, b = 5, c = -420:

-5 +/ √5^2 -4*(2*-420) / 2*2

x = 13.2951

Rounded to the nearest hundredth = 13.30 inches.

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The area of a rectangle is 108 m2 and its diagonal is 15 m. Find
Andre45 [30]

Answer:

47.6m.

Step by step solution:

Perimeter of a triangle = base + 2 . length____(1)

Area of a triangle = 1/2 . base . diagonal

108 = 1/2 . base . 15

multiplying both sides by 2:

216 = 15 . base

dividing both sides by 15:

base = 14.4m

But the diagonal divides the triangle into two

right angle triangles each with the same length (hypotenuse),base and diagonal(height).

Taking one right angle triangle:

And using pythagoras theorem;

length² = base² + diagonal ²

length² = 7.2² + 15²

Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.

length² = 276.84

taking the square root of both sides:

length = 16.6m

Putting the values of the base and length into equation (1).

Perimeter of the triangle = 14.4 + 2 . 16.6

Note: We are dealing with the whole triangle

now hence the base is 14.4m.

Perimeter of the triangle = 14.4 + 33.2 = 47.6m.

6 0
3 years ago
Read 2 more answers
Can someone help me?
mestny [16]

Answer:

Step-by-step explanation:

To do this, we must use the unit circle. At the angle \frac{\pi }{6} the coordinate pair is (\frac{\sqrt{3} }{2}, \frac{1}{2}) and the hypotenuse is 1

Now that we know these we can start using the trig functions

sin = y

cos = x

tan = \frac{y}{x}

And the other functions would be the reciprocal of these

csc = \frac{1}{y}

sec = \frac{1}{x}

cot = \frac{x}{y}

This would mean that

sinx = \frac{1}{2}

cosx =\frac{\sqrt{3} }{2}

tanx =\frac{1}{\sqrt{3} } or \frac{\sqrt{3} }{3} if you're supposed to rationalize your denominators

cscx = 2

secx = \frac{2}{\sqrt{3} } or \frac{2\sqrt{3} }{3}

cot = \sqrt{3}

6 0
2 years ago
Solve using elimination.<br><br> –9x − 7y = –10<br> 9x + 8y = 5
guapka [62]

Answer:

x=4y

Step-by-step explanation:

mathpapa

7 0
2 years ago
At a glassworks, 60 pounds of composite glass is required to produce 15 pounds of glass. How many pounds of composite are
aleksandr82 [10.1K]
Ngl I think it’s 20 because 15 is 5x3 but 60 divided by 3=20 lmk if I’m wrong
3 0
3 years ago
Given the Arithmetic sequence A1,A2,A3,A4 53, 62, 71, 80 What is the value of A38?
Murrr4er [49]

Answer:

A_{38}  = 350

Step-by-step explanation:

The 5th term of the arithmetic sequence is 53. We can write the equation:

a + 4d = 53...(1)

The 6th term of the arithmetic sequence is 62. We can write the equation:

a + 5d = 62...(2)

Subtract the first equation from the second one to get:

5d - 4d = 62 - 53

d = 9

The first term is

a + 4(9) = 53

a + 36 = 53

a = 53 - 36

a = 17

The 38th term of the sequence is given by:

A_{38} = a + 37d

A_{38}  = 17+ 37(9)

A_{38}  = 350

3 0
2 years ago
Read 2 more answers
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