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3 years ago

Find x. Round the nearest tenth

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

3 0

Answer:

15.9

Step-by-step explanation:

x = 10/ cos 51° = 10/0.629 = 15.9

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Change this Mixed number into a improper fractions: 3 and 6/8

WITCHER [35]

Answer:

30/8

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use the distributive property to expand the expression. −(3a3 − 4b2) (12x − 9y − 5)

aalyn [17]

The answer to that is -3a+4b+12x-9y-4

6 0

3 years ago

Find the zeros of y = x2 – 6x – 4 by completing the square.

katrin [286]

Answer:

The solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

Step-by-step explanation:

Given the function

$y\:=\:x^2\:-\:6x\:-\:4$

substitute y = 0 in the equation to determine the zeros

$0\:=\:x^2\:-\:6x\:-\:4$

Switch sides

$x^2-6x-4=0$

Add 4 to both sides

$x^2-6x-4+4=0+4$

Simplify

$x^2-6x=4$

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

$x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2$

$x^2-6x+\left(-3\right)^2=13$

Apply perfect square formula: (a-b)² = a²-2ab+b²

$\left(x-3\right)^2=13$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-3=\sqrt{13}$

Add 3 to both sides

$x-3+3=\sqrt{13}+3$

Simplify

$x=\sqrt{13}+3$

now solving

$x-3=-\sqrt{13}$

Add 3 to both sides

$x-3+3=-\sqrt{13}+3$

Simplify

$x=-\sqrt{13}+3$

Thus, the solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

4 0

3 years ago

What is the square root of 49

ivann1987 [24]

Hello! So a number squared has to do with a number multiplied by itself to get a number. If you know basic multiplication, 7 * 7 is 49. The square root is like that. The number raised to the 2nd power to get that number. In this case, the square root of 49 is 7.

8 0

3 years ago

Eight times what number is greater than 72?

yaroslaw [1]

Let the number be x.

8*x > 72

x > 72/8

x > 9

The number is any number greater than 9.

It could be 9.5, 10, 11, 12,....

7 0

3 years ago