One aftemoon 10 inches of snow falls in 1 1/4 hours. At this rate, how many inches of snow fall in 1 hour?inch(es) per hour

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

10 divided by 1 1/4 = 8

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A box of uncooked spaghetti cost $0.1369 per ounce. how much is this cost to the nearest cent?

Answers

The cost to the nearest sent is 0.14

This is because you can round the .136 up to the nearest hundredths place.

Find the slope that passes through (-1, -3) and (-2, 2).A
-5
С
-2
B
-1/5
D
1/3

Answers

Answer:

A.-5

Step-by-step explanation:

I have used an online calculator to check my answer against so this answer is 100% correct. I used "Slope Calculator" by Omni.

PLEASAE MARK BRAINLIEST

the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers

Answers

x, y - the numbers

The sum of the two numbers is 9.
$x+y=9$

If one number is subtracted from the other, the result is 3.
$x-y=3$

Solve the system of equations:
$x+y=9 \n\underline{x-y=3} \nx+x=9+3 \n2x=12 \ \ \ |/ 2 \nx=6 \n \nx+y=9 \n6+y=9 \ \ \ |-6 \ny=3$

The numbers are 6 and 3.

Let's say x to the first number and y to the second one.
We add them : $x+y=9$
Then we substract them : $x-y=3$
Now we add the equations:

$(x+y)+(x-y)=9+3\n x+x+y-y=12\n 2x=12\n \n x=\frac { 12 }{ 2 } \n \n x=6$

and finally rewrite the equation:

$6+y=9\n y=9-6\n y=3\n \n x=6\quad and\quad y=3$

a rectangular field with a area of 8000m2 is enclosed by 400m of fencing. determine dimensions to nearest tenth of a metre

Answers

$field:x\ *\ y\n\n \left\{\begin{array}{ccc}x\cdot y=8000\n2x+2y=400&/:2\end{array}\right\n\left\{\begin{array}{ccc}x\cdot y=8000\nx+y=200&\to x=200-y\end{array}\right\n\nsubstitute\ to\ x\cdot y=8000\n\n(200-y)\cdot y=8000\n\n-y^2+200y-8000=0\n\n\Delta=b^2-4ac;\ \Delta=200^2-4\cdot(-1)\cdot(-8000)=40000-32000=8000\n\ny_1=(-b-\sqrt\Delta)/(2a);\ y_2=(-b+\sqrt\Delta)/(2a)$

$\sqrt\Delta=√(8000)=√(1600\cdot5)=40\sqrt5\n\ny_1=(-200-40\sqrt5)/(2\cdot(-1))=(-200-40\sqrt5)/(-2)=100+20\sqrt5\approx144.7\ (m)\n\ny_2=(-200+40\sqrt5)/(2\cdot(-1))=(-200+40\sqrt5)/(-2)=100-20\sqrt5\approx55.3\ (m)\n\nx_1\approx200-144.7=55.3\ (m)\n\nx_2\approx200-55.3=144.7\ (m)\n\nAnswer:Dimension of the field is:55.3m\ *\ 144.7m$

4/3v^2x -5/6vx^3 what is this answer for algebra

Answers

$(4)/(3) v^2x - (5)/(6) vx^3$

$(4)/(3) v^2x + (-5)/(6) vx^3$

Answer: $(-5)/(6) vx^3 + (4)/(3) v^2x$

$(4)/(3v^(2)x) - (5)/(6vx^(3)) = (5(3v^(2)x))/((3v^(2)x)(6vx^(3))) - (4(6vx^(3)))/((3v^(2)x)(6vx^(3))) = (15v^(2)x)/(18v^(3)x^(4)) - (24vx^(3))/(18v^(3)x^(4)) = (15v^(2)x - 24vx^(3))/(18v^3x^(4)) = (5v)/(6x^(2)) - (4)/(3v^(2)x)$

In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the arc cut off by the angle?

Answers

Answer:

The length of segment joining the endpoints of the arc is $8\ in$

Step-by-step explanation:

we know that

In the triangle ABC

see the attached figure to better understand the problem

$AC=BC$ -----> is the radius of the circle

$m<CAB=m<CBA$

$m<ACB=60\°$ ----> given problem (central angle)

Initially the triangle ABC is an isosceles triangle

Remember that

the sum of the internal angles of triangle must be equal to $180\°$

For this particular case, the isosceles triangle ABC becomes an equilateral triangle, as the three angles are equal to $60\°$

The equilateral triangle has three equal sides and tree equal angles

$AC=BC=AB$

Hence

The length of segment joining the endpoints of the arc is $8\ in$

Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.

Length of the segment = (16π in)(60/360) = 8/3 π in

Thus, the length of the segment is approximately 8.36 in.

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