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3 years ago

The state of ohio is located between what to labeled lines if longitude? °w and °w

Mathematics

1 answer:

ivanzaharov [21]3 years ago

6 0

40.41 North 82.9 west is the answer

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Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 of a liter of paint. How many st

Sonja [21]

Answer:

She can paint 17 statues

Step-by-step explanation:

Sorry I don’t really know how to show my work

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3 years ago

0/1 Hannah went to the store and spent $14. 69 on a book, $20. 99 on a shirt, and $5. 99 on a pack of pencils. If she paid with

tester [92]

Answer:

$8.33

Step-by-step explanation:

$14.69 50.00

+ $20.99 - 41.67

=35.68 = $8.33

+5.99

=$41.67

5 0

2 years ago

The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .

Readme [11.4K]

Answer:

(-21,-19)

$\sqrt{849}$

Standard form

Step-by-step explanation:

We are given the equation of circle

$x^2+y^2+42x+38y-47=0$

General equation of circle:

$x^2+y^2+2gx+2fy+c=0$

Centre: (-g,-f)

Radius: $\sqrt{g^2+f^2-c}$

Compare the equation to find f, g and c from the equation

$g\rightarrow 21$

$f\rightarrow 19$

$c\rightarrow -47$

Centre: (-21,-19)

Radius (r) $=\sqrt{21^2+19^2+47}=\sqrt{849}$

Standard form of circle:

$(x+21)^2+(y+19)^2=849$

The centre of circle at the point (-21,-19) and its radius is $\sqrt{849}$ .

The general form of the equation of a circle that has the same radius as the above circle is standard form.

4 0

3 years ago

Read 2 more answers

What is the approximate radius of a sphere of volume 528 m³? round the answer to hundreth

makvit [3.9K]

$\\ \sf\longmapsto V=\dfrac{4}{3}πr^3$

$\\ \sf\longmapsto 528=\dfrac{4}{3}πr^3$

$\\ \sf\longmapsto \pi r^3=528\times \dfrac{3}{4}$

$\\ \sf\longmapsto πr^3=32(3)$

$\\ \sf\longmapsto \pi r^3=96$

$\\ \sf\longmapsto 3.14r^3=96$

$\\ \sf\longmapsto r^3=\dfrac{96}{3.14}$

$\\ \sf\longmapsto r^3=30.57$

$\\ \sf\longmapsto r=3.09m=3.1m$

5 0

2 years ago

Read 2 more answers

What is the length of the diagonal, d, of the rectangular prism shown below?

vodomira [7]

Answer:

<h2>The diagonal of the volumetric figure is 7 units long.</h2>

Step-by-step explanation:

The figure is attached.

Notice that the dimensions of the prism are

$w=2\\l=3\\h=6$

First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.

Let's use the Pythagorean's Theorem

$d_{base}=\sqrt{2^{2} +3^{2} }=\sqrt{4+9}=\sqrt{13}$

This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.

Let's use again Pythagorean's Theorem

$d_{volume}=\sqrt{(\sqrt{13} )^{2} +(6)^{2} } =\sqrt{13+36}=\sqrt{49}\\ d_{volume}=7 \ units$

Therefore, the diagonal of the volumetric figure is 7 units long.

8 0

3 years ago