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3 years ago

What is 10.1 = 8+7m plsssssss i neeed help

Mathematics

2 answers:

tangare [24]3 years ago

5 0

Answer:

Subtract 8 from both sides of the equation

Simplify

Divide both sides of the equation by the same term

m=0.3

Dahasolnce [82]3 years ago

3 0

Answer:

m= 0.3

Step-by-step explanation:

10.1 = 8 + 7m

-8 -8

2.1 = 7m

2.1/7 = 0.3

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the figure below shows a circle centre of radius 10 cm the chord PQ=16cm calculate the area of the shaded region

m_a_m_a [10]

Step-by-step explanation:

OPQ originally forms a sector, the formula for sector is

$\frac{x}{360} \pi {r}^{2}$

where x is the degrees of rotation between the two radii.

We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that

$16 = \sqrt{10 {}^{2} + 10 {}^{2} - 2(100) \times \cos(o) }$

This isn't the standard formula, it's for this problem

$16 = \sqrt{200 - 200 \times \cos(o) }$

$16 = \sqrt{200 - 200 \cos(o) }$

$256 = 200 - 200 \cos(o)$

$56 = - 200 \cos(o)$

$- \frac{7}{25} = \cos(o)$

$\cos {}^{ - 1} ( - \frac{7}{25} ) = \cos {}^{ - 1} ( \cos(o) )$

$106.26 = o$

So we found our angle of rotation, which is 106.26

Now, we do the sector formula.

$\frac{106.26}{360} (100)\pi$

$\frac{10626}{360} \pi$

is the area of sector.

Now let find the area of triangle, we can use Heron formula,

The area of a triangle is

$\sqrt{s(s - a)(s - b)(s - c)}$

where s is the semi-perimeter.

To find s, add all the side lengths up, 10,10,16 and divide it by 2.

Which is

$\frac{36}{2} = 18$

$\sqrt{18(18 - 10)(18 - 10)(18 - 16)}$

$\sqrt{18(8)(8)(2)}$

$\sqrt{(36)(64)}$

$6 \times 8 = 48$

So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get

$\frac{10626}{360} - 48$

Which is an approximate or

44.73

6 0

2 years ago

Solve the equation: 2x^2 + 3x = 2

Dafna11 [192]

Answer:

x = -2 or x = 1/2

Step-by-step explanation:

First get the eq in standard form, which means:

x² should not have that 2 in front of it

move the other 2 to the left

so first let's divide by 2:

x² + 3/2 x = 1

now move the 1 to the left

x² + 3/2 x - 1 = 0

now look for two numbers that, when multiplied, give -1, and when added, give 3/2. This is a bit of trial-and-error if you want to solve in this way.

The numbers are 2 and -1/2, since 2*-1/2 = -1, and 2 - 1/2 = 3/2

The factorization thus is:

x² + 3/2 x - 1 = (x+2)(x-1/2) = 0

Either factor (x+2) or (x-1/2) can be zero to solve the solution, hence x = -2 or x = 1/2

5 0

3 years ago

Read 2 more answers

rewrite as equivalent rational expressions with denominator (3x−8)(x−5)(x−3). 4/3x2−23x+40,9x/3x2−17x+24

saul85 [17]

Answer:

Step-by-step explanation:

\frac{4}{3x²-23x+40}

=\frac{4}{3x²-15x-8x+40}

=\frac{4}{3x(x-5)-8(x-5)}

=\frac{4}{(x-5)(3x-8)}

=\frac{4(x-3)}{(x-5)(3x-8)(x-3)}

\frac{9x}{3x²-17x+24}

=\frac{9x}{3x²-9x-8x+24}

=\frac{9x}{3x(x-3)-8(x-3)}

=\frac{9x}{(x-3)(3x-8)}

=\frac{9x(x-5)}{(3x-8)(x-5)(x-3)}

3 0

4 years ago

Help me please and I'll ask god to bless you

Elenna [48]

On number 10 . A I t tells you the lifespan of a rat which is 2.5 years.

4 0

3 years ago

Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 28 bags of leaves. How much money did he earn?

Elena L [17]

Answer:

$48

Explanation:

24 Divided by 5 = 4.8 times 10 =48

3 0

3 years ago

Read 2 more answers