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3 years ago

If you have 100 apples in the fridge and samy take s3

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

5 0

100-3= 97-5=92-30= 62
62 apples left

Aleks [24]3 years ago

4 0

You have 100
and samy takes 3
100-3
Mark takes 5
100-3-5
and Lizzy takes 30
100-3-5-30
Solve: 100-3-5-30
62
62 is your answer.
You just basically subtract. :)

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Cmon fwm on dis one to

stich3 [128]

Answer:

x = 10.5

Step-by-step explanation:

we know that ZP = PX (its the midpoint of the rectangle)

11 = PX

ZP + PX = ZX

11+11 = ZX

22 = ZK

2x + 1 = 22

2x = 22 -1

2x = 21

x = 21/2

x = 10.5

3 0

3 years ago

Write the product as a sum: 14cos(39x)sin(19x)

charle [14.2K]

Recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

Adding these together gives

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

To get 14 cos(39x) sin(19x) on the right side, multiply both sides by 7 and replace a = 19x and b = 39x :

7 (sin(19x + 39x) + sin(19x - 39x)) = 14 cos(39x) sin(19x)

7 (sin(58x) + sin(-20x)) = 14 cos(39x) sin(19x)

7 (sin(58x) - sin(20x)) = 14 cos(39x) sin(19x)

4 0

3 years ago

The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. A) Use differentials to estimate the max

siniylev [52]

Answer:

A) The maximum error in the calculated surface area: $25cm^2$

Relative error: $0.013$

B) The maximum error in the calculated volume: $162cm^2$

Relative error: $0.019$

Step-by-step explanation:

A) The formula for the surface area is:

$A=4\pi r^2$

The measured value is the circumference which is equal to:

$C=2\pi r$

then the radius is:

$r=\frac{C}{2\pi}$

Substituting in the formula of the surface:

$A=4\pi(\frac{C}{2\pi})^2\\A=4\pi(\frac{C^2}{4\pi^2})\\A=\frac{C^2}{\pi}$

Using the formula to calculate the error:

$dy=f'(x)dx$

Where $x$ is the variable measured and $y$ is a function of $x$ ( $y=f(x)$ ).

$dA=f'(C)dC\\dA=\frac{2C^{(2-1)}}{\pi}dC\\dA=\frac{2C}{\pi}dC$

We have C=80cm and dC=0.5cm

$dA=\frac{2C}{\pi}dC\\dA=\frac{2(80)}{\pi}(0.5)\\dA=\frac{160}{\pi}(0.5)\\dA=50.9296(0.5)\\dA=25.4648\approx25cm^2$

The relative error is the maximum error divide by the total area. The total area is: $A=\frac{C^2}{\pi}=\frac{(80)^2}{\pi}=\frac{6400}{\pi}=2037.1833cm^2$

$\frac{dA}{A}=\frac{25.4648}{2037.1833} =0.0125\approx0.013$

B) The formula for the volume is:

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

Using $r=\frac{C}{2\pi}$

$V=\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (\frac{C}{2\pi})^3\\V=\frac{4}{3} \pi (\frac{C^3}{8\pi^3})\\V=\frac{1}{3}(\frac{C^3}{2\pi^2})\\V=\frac{C^3}{6\pi^2}$

The maximum error is:

$dV=\frac{3C^{3-1}}{6\pi^2}dC\\dV=\frac{C^{2}}{2\pi^2}dC\\dV=\frac{(80)^{2}}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=(324.2278)(0.5)\\dV=162.1139\approx162cm^2$

The calculated volume is:

$V=\frac{C^3}{6\pi^2}\\V=\frac{(80)^3}{6\pi^2}\\V=\frac{512000}{6\pi^2}\\V=8646.0743$

The relative error is:

$\frac{dV}{V}=\frac{162.1139}{8646.0743}=0.0188\approx0.019$

3 0

3 years ago

Choose all of the statements that correctly define the geometric term.

Anvisha [2.4K]

Answer:

True: 1, 4, 5

Step-by-step explanation:

Main notations:

A plane is a flat 2D surface with no thickness that extends infinitely far. (Option 1 is true)

A point is an exact location. It has no size, no width, no length, no depth, only position. (Option 2 is false)

Collinear points are two or more points that lie on the same line and have different location. (Option 3 is false)

A line is straight (no bends), has no thickness, and extends in both directions without end (infinitely). (Option 4 is true)

The distance between two points is the length of a line segment that connects them. (Option 5 is true)

4 0

3 years ago

What is the solution to the equation?

ludmilkaskok [199]

Answer:

A.) - 1/5

Step-by-step explanation:

I divided each side by factors that do not contain the variable.

6 0

3 years ago