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3 years ago

Choose an absolute value inequality for the situation with the given tolerance.

Mathematics

1 answer:

Serjik [45]3 years ago

4 0

Answer

Im telling ms dennis

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Whats .0091 rounded to the nearest thousandths

sashaice [31]

.0091 rounded to the nearest thousandths would be .009

8 0

2 years ago

Tan 48 degrees 19'23"

asambeis [7]

Answer:

Step-by-step explanation:

y = tan(48 + 19/60 + 23/3600)

y = tan(48.323055555...)

y = 1.1232851096924531815531574029372...

3 0

2 years ago

A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 245 ounces of a mixture

sesenic [268]

Answer:

140 ounces of water and 105 ounces of 35% salt solution.

Explanation:

Let $x$ be the ounces of water that need to be added and $y$ be the ounces of 35% solution that need to to be added.

We know that the total of ounces of water and of 35% solution must be 245 ounces:

$x+y=245$

35% of $x$ is the salt, and since no salt is added with addition of $y$ liters of water, this must be equal to the amount of salt in the final 15% solution:

$0.35x=0.15*245$

we solve for $x$ and get:

$x=105$

We put this value into $x+y=245$ and solve for $y$ to get:

$y=140$

Thus we have 140 ounces of water and 105 ounces of 35% solution.

8 0

2 years ago

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

2 years ago

Z to the power of 2 =1

stiv31 [10]

That would be written as:

$z^{2} = 1$

And the step-by-step equation would be:

$z^{2} = 1$ → we take the 2 to the right side of the equation and do the IO*

$z = \sqrt{1}$ →we solve for $\sqrt{1}$

$z = 1$ → final answer

*Ps - IO is not an existing term and stands for inverse operation. In this case, because when we take to 2 to the right side of the equation (the 2 is a power) it'll have to turn into a square root (because exponents and roots are inverse operations)

Hope it helped,

BioTeacher101

3 0

2 years ago