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3 years ago

Find the value of x (8x-1) (4x+7)

Mathematics

1 answer:

Helen [10]3 years ago

7 0

Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

Right angle = 90°

α = (4x+7)°

β = (8x-1)°

We know that the sum of angles of a triangle is 180°.

Right angle + α + β = 180°

90° + 4x+7 + 8x-1 = 180

Group like terms

$4x+8x+90+7-1=180$

Add similar elements: :4x+8x=12x

$12x+90+7-1=180$

$12x+96=180$

$12x=84$

Divide both sides by 12

$\frac{12x}{12}=\frac{84}{12}$

$x = 7$

Therefore, the value of x = 7

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erma4kov [3.2K]

Answer:

1/4x - 4 = 3/4x - 15

-1/2x - 4 = -15

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3 years ago

Greg ran 3 times as far as jed.rj ran 0.1times as far as Greg. If jed ran25 yards, how far did Greg and rj run

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3 years ago

Expansion Numerically Impractical. Show that the computation of an nth-order determinant by expansion involves multiplications,

posledela

Answer:

number of multiplies is n!
n=10, 3.6 ms
n=15, 21.8 min
n=20, 77.09 yr
n=25, 4.9×10^8 yr

Step-by-step explanation:

Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...

mpy[n] = n·mp[n-1]

mpy[2] = 2

So, ...

mpy[n] = n! . . . n ≥ 2

If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...

10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10

Then the larger matrices take ...

n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min

n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years

n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years

_____

For the shorter time periods (less than 100 years), we use 365.25 days per year.

For the longer time periods (more than 400 years), we use 365.2425 days per year.

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