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4 years ago

What is 3/5 as a decimal?

Mathematics

2 answers:

Liula [17]4 years ago

7 0

The answer to the question is 0.6

AleksandrR [38]4 years ago

4 0

3/5 as a decimal is 0.6

The work is provided in the image attached.

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Find the area of the polygon. 2cm 2cm 3m

steposvetlana [31]

Answer:

If its a specific shape then probably the formula would be different.

If it were to be a parallelogram then multiply all given lengths

2 x 2 x 3 = 12cm

4 0

3 years ago

GIVING BRAINIEST EXPLAIN ANSWER

Elodia [21]

Answer:

b because if u read it makes the most sence

Step-by-step explanation:

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3 years ago

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Find the two intersection points

bogdanovich [222]

Answer:

Our two intersection points are:

$\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)$

Step-by-step explanation:

We want to find where the two graphs given by the equations:

$\displaystyle (x+1)^2+(y+2)^2 = 16\text{ and } 3x+4y=1$

Intersect.

When they intersect, their x- and y-values are equivalent. So, we can solve one equation for y and substitute it into the other and solve for x.

Since the linear equation is easier to solve, solve it for y:

$\displaystyle y = -\frac{3}{4} x + \frac{1}{4}$

Substitute this into the first equation:

$\displaystyle (x+1)^2 + \left(\left(-\frac{3}{4}x + \frac{1}{4}\right) +2\right)^2 = 16$

Simplify:

$\displaystyle (x+1)^2 + \left(-\frac{3}{4} x + \frac{9}{4}\right)^2 = 16$

Square. We can use the perfect square trinomial pattern:

$\displaystyle \underbrace{(x^2 + 2x+1)}_{(a+b)^2=a^2+2ab+b^2} + \underbrace{\left(\frac{9}{16}x^2-\frac{27}{8}x+\frac{81}{16}\right)}_{(a+b)^2=a^2+2ab+b^2} = 16$

Multiply both sides by 16:

$(16x^2+32x+16)+(9x^2-54x+81) = 256$

Combine like terms:

$25x^2+-22x+97=256$

Isolate the equation:

$\displaystyle 25x^2 - 22x -159=0$

We can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 25, b = -22, and c = -159. Substitute:

$\displaystyle x = \frac{-(-22)\pm\sqrt{(-22)^2-4(25)(-159)}}{2(25)}$

Evaluate:

$\displaystyle \begin{aligned} x &= \frac{22\pm\sqrt{16384}}{50} \\ \\ &= \frac{22\pm 128}{50}\\ \\ &=\frac{11\pm 64}{25}\end{aligned}$

Hence, our two solutions are:

$\displaystyle x_1 = \frac{11+64}{25} = 3\text{ and } x_2 = \frac{11-64}{25} =-\frac{53}{25}$

We have our two x-coordinates.

To find the y-coordinates, we can simply substitute it into the linear equation and evaluate. Thus:

$\displaystyle y_1 = -\frac{3}{4}(3)+\frac{1}{4} = -2$

And:

$\displaystyle y _2 = -\frac{3}{4}\left(-\frac{53}{25}\right) +\frac{1}{4} = \frac{46}{25}$

Thus, our two intersection points are:

$\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)$

6 0

3 years ago

Which expression gives the volume of a sphere with radius 15?

Nesterboy [21]

The Volume of a Sphere = $\frac{4}{3} \pi r^{3}$

Thus, if the radius = 15

Then Volume of such a Sphere = $\frac{4}{3} \pi (15^{3})$ {OPTION C}

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3 years ago

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The sum of the digits of a two-digit number is 13. The units digit is one more than twice the tens digit. Find the number.

tatyana61 [14]

Answer:49

Step-by-step explanation: 9+4=13 4x2=8 8+1=9

9 is the units digit

4 is the tens digit

6 0

3 years ago

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