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2 years ago

Re write the statement 19 +7 / 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2

1 answer:

4 0

Y=2

PREMISES

y=the expression 19+7/2×6+1 rewritten by including two sets of brackets or parentheses to get a result of 2

CALCULATIONS

To clearly express the mathematical phrase 19+7/2×6+1 to get a result of 2 requires specific parenthetical treatment.

y=19+7/2×6+1 becomes

y=(19+7)/(2×6+1)

y=26/(12+1)

y=26/13

y=

2

PROOF

If y=2, then the inverse of the phrase (19+7)/(2×6+1) returns

y(2×6+1)=19+7

2(2×6+1)=19+7

2(12+1)=19+7

2(13)=26 and

26=26 proves the solution y=2 to the phrase (19+7)/(2×6+1)

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A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is

$A'=2\pi r^2 + \pi r^2 = 3 \pi r^2$

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

$\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r$

6 0

2 years ago

Confused on the function and method for this... help me out please.

mezya [45]

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = $\frac{opposite}{hypotenuse}$ = $\frac{XY}{YZ}$ = $\frac{7.5}{22.3}$ , then

∠ YZX = $sin^{-1}$ ( $\frac{7.5}{22.3}$ ) ≈ 19.7° ( to 3 significant figures )

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2 years ago

To determine the number of squirrels in a conservation area a researcher cashers tags and releases 114 squirrels you later catch

Ede4ka [16]

Answer:

336 squirrels

Step-by-step explanation:

-This is a Mark-Recapture method.

-The population is estimated using the formula:

$N=\frac{MC}{R}$

where:

N-is the estimated population size.
M-is the number of individuals tagged
C- is the total number captured the second time(both tagged and untagged)
R-is the total number of tagged individuals recaptured.

#We substitute our values as follows to estimate N:

$N=\frac{MC}{R}\\\\=\frac{114\times 97}{33}\\\\=335.0909\approx336$

Hence, there are approximately 336 squirrels in the conservation area.

*population is always rounded up to the next whole number.

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3 years ago

When Nicole works out she spends 10 minutes doing cardio and 15 minutes doing resistance training Isaacs work out consists of 15

Zielflug [23.3K]

Answer:issac

Step-by-step explanation:

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2 years ago

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never [62]

Hi there there's several ways this could be proven one way us to consider the allied angle theory where two angles formed between parallel lines are supplementary which in this case can be proven by

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