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VLD [36.1K]
3 years ago
14

Solve for the smallest value of $x$ such that $24x^2 + 17x - 20 = 0.$ Express your answer as a simplified common fraction.

Mathematics
1 answer:
Gala2k [10]3 years ago
4 0
X=5/8 or x=-4/3 
here is the work if needed...
24x^2+17x-20=0
Step one: Factor left side of equation.
(8x-5)(3x-4)=0
Step two: Set factor equal to 0.
8x-5=0 or 3x-4=0
x=5/8 or x=-4/3
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What is measure of angle A?
Goryan [66]

Answer:

A=53.13\°

Step-by-step explanation:

The figure shows a right triangle.

To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:

\alpha=arctan(\frac{opposite}{adjacent})

Identify the angle \alpha, the opposite side and the adjacent side:

\alpha=A\\opposite=4cm\\adjacent=3cm

Substitute into \alpha=arctan(\frac{opposite}{adjacent}).

The measure of the angle A is:

A=arctan(\frac{4}{3})\\\\A=53.130\°

Rounded to the nerarest hundreth:

A=53.13\°

4 0
3 years ago
A sphere has a surface area of about 999 square millimeters. What is the radius, in millimeters, of the sphere
motikmotik

Given that, a sphere has a surface area of about 999 square millimeters.

Formula to find the surface area of sphere is,

S= 4πr² Where r = radius of the sphere and S= surface area.

Given S= 999 square millimeters.

So, we can write:

4πr² = 999

4 * 3.14 * r² = 999 Since, π = 3.14

12.56 *r² = 999

r^2=\frac{999}{12.56} Divide each sides by 12.56.

r² = 79.53821656

r = √79.53821656 Taking square root to each sides of equation.

r = 8.918420071

So, r = 8.918 Rounded to nearest thousandth.

So, radius of the sphere is 8.918 millimeters.

Hope this helps you!

5 0
3 years ago
Please Help. Find the area. Thank you
Andru [333]

Answer:

432 yd squared

Step-by-step explanation:

This is a parallelogram. The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height. Here, the base is b = 19 1/5 and the height is h = 22 1/2. Plug these in:

A = bh = (19 1/5) * (22 1/2)

To make this simpler, let's convert the numbers into decimals. 1/5 is just 0.2 so 19 1/5 is 19.2. 1/2 is just 0.5, so 22 1/2 is 22.5. Now we have:

A = 19.2 * 22.5 = 432

Thus the area is 432 yd squared.

Hope this helps!

7 0
3 years ago
Read 2 more answers
What is the inverse of the function f(x) = x – 12?
Luda [366]

Answer:a


Step-by-step explanation:

h(x)=x-12

h(x)=4x-48

h(x)=-1(4x-48)

h(x)=-4x+48

h(x)=48-4x

7 0
3 years ago
What is the difference between 12/8 and 3/4?
Katen [24]

Answer:

3/4

Step-by-step explanation:

Difference means subtraction

12/8 - 3/4

We need a common denominator of 8

12/8 - 3/4 * 2/2

12/8  - 6/8

 6/8

Divide by 2 in the numerator and denominator

 3/4

6 0
3 years ago
Read 2 more answers
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