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grandymaker [24]

3 years ago

13

What is 7231 divided by 24

2 answers:

erma4kov [3.2K]3 years ago

5 0

The answer is
301.2916666666667

VLD [36.1K]3 years ago

4 0

301.3 or 301.29 either way

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

3 0

3 years ago

Find the measure of C to the nearest degree.

Alisiya [41]

Let the ∠C be : θ

From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units

Also, We can notice that Hypotenuse is 11 units

As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ

We know that :

$\bigstar \ \ \boxed{\sf{Sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}$

$\implies \sf{Sin\theta = \dfrac{7}{11}}$

$\implies \sf{\theta = Sin^{-1}\bigg(\dfrac{7}{11}\bigg)}$

$\implies \sf{\theta = 39.52^{\circ}}$

<u>Answer</u> : The measure of ∠C to the nearest degree is 38°

3 0

3 years ago

Apples cost $0.75 per pound and bananas cost $1.05 per pound.

dedylja [7]

Answer:

The baker bought 8 pounds of apples and 4 pounds of bananas.

Step-by-step explanation:

a+b=12.

0.75a+1.05b=10.20

First, multiply 2 my 10.

75a+105b=1020.

Then multiply 1 by 75.

75a+75b=900.

Then subtract.

75a+105b=1020

75a+75b=900.

75a-75a+105b-75b=1020-900

30b=120

b=4

Substitute into (1)

a+4=12

a=8.

Hope this helps :)

3 0

3 years ago

Find the value of each variable.<br> 105°<br> 86°<br> 106°/2°

forsale [732]

Answer:

z = 74 degrees

y = 115 degrees

Step-by-step explanation:

Explanation in the attachment.

5 0

2 years ago

Use the method of least squares to solve the following problem.

slamgirl [31]

Purr fbfbfbffjhfbfbfbfbfbfbf

3 0

3 years ago