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3 years ago

P divided by 1 2/3 = 2 1/5

Mathematics

2 answers:

sergejj [24]3 years ago

6 0

Answer:P, 1 2/3 +2 1/5 Mixed number form

Step-by-step explanation:

Vlada [557]3 years ago

4 0

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Dylan is 15, which is 3 years older than twice his sister Savannah’s age. How old is savannah

Brrunno [24]

Answer:

Savannah's age = 6 years

Step-by-step explanation:

Let

Savannah's age = x

Dylan's age = 15

Dylan is 15, which is 3 years older than twice his sister Savannah’s age

Dylan = 2x + 3

Find Savannah's age

2x + 3 = 15

Subtract 3 from both sides

2x + 3 - 3 = 15 - 3

2x = 12

Divide both sides by 2

2x / 2 = 12 / 2

x = 6

Therefore,

Savannah's age = x

= 6 years

Dylan's age = 2x +3

= 2*6 + 3

= 12 + 3

= 15 years

4 0

2 years ago

At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at

ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.

We know that tangent relates opposite side of a right triangle to its adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

Upon substituting our given values in above formula, we will get:

$\text{tan}(35^{\circ})=\frac{h}{290}$

$290*\text{tan}(35^{\circ})=\frac{h}{290}*290$

$290*0.70020753821=h$

$h=290*0.70020753821$

$h=203.0601860809$

$h\approx 203$

Therefore, the building is approximately 203 feet high.

3 0

3 years ago

How was your day?! Mine was awesome now it’s your turn to tell me!

Gelneren [198K]

My day was good lol thanks for askinggg

3 0

2 years ago

Read 2 more answers

Find the volume and area for the objects shown and answer Question

klio [65]

Step-by-step explanation:

You must write formulas regarding the volume and surface area of the given solids.

$\bold{\#1\ Rectangular\ prism:}\\\\V=lwh\\SA=2lw+2lh+2wh=2(lw+lh+wh)\\\\\bold{\#2\ Cylinder:}\\\\V=\pi r^2h\\SA=2\pi r^2+2\pi rh=2\pir(r+h)\\\\\bold{\#3\ Sphere:}\\\\V=\dfrac{4}{3}\pi r^3\\SA=4\pi r^2$

$\bold{\#4\ Cone:}\\\\V=\dfrac{1}{3}\pi r^2h\\\\\text{we need calculate the length of a slant length}\ l\\\text{use the Pythagorean theorem:}\\\\l^2=r^2+h^2\to l=\sqrt{r^2+h^2}\\\\SA=\pi r^2+\pi rl=\pi r^2+\pi r\sqrt{r^2+h^2}=\pi r(r+\sqrt{r^2+h^2})\\\\\bold{\#5\ Rectangular\ Pyramid:}\\\\V=\dfrac{1}{3}lwh\\\\$

$\\\text{we need to calculate the height of two different side walls}\ h_1\ \text{and}\ h_2\\\text{use the Pythagorean theorem:}\\\\h_1^2=\left(\dfrac{l}{2}\right)^2+h^2\to h_1=\sqrt{\left(\dfrac{l}{2}\right)^2+h^2}=\sqrt{\dfrac{l^2}{4}+h^2}=\sqrt{\dfrac{l^2}{4}+\dfrac{4h^2}{4}}\\\\h_1=\sqrt{\dfrac{l^2+4h^2}{4}}=\dfrac{\sqrt{l^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{l^2+4h^2}}{2}$

$\\\\h_2^2=\left(\dfrac{w}{2}\right)^2+h^2\to h_2=\sqrt{\left(\dfrac{w}{2}\right)^2+h^2}=\sqrt{\dfrac{w^2}{4}+h^2}=\sqrt{\dfrac{w^2}{4}+\dfrac{4h^2}{4}}\\\\h_2=\sqrt{\dfrac{w^2+4h^2}{4}}=\dfrac{\sqrt{w^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{w^2+4h^2}}{2}$

$SA=lw+2\cdot\dfrac{lh_1}{2}+2\cdot\dfrac{wh_2}{2}\\\\SA=lw+2\!\!\!\!\diagup\cdot\dfrac{l\cdot\frac{\sqrt{l^2+4h^2}}{2}}{2\!\!\!\!\diagup}+2\!\!\!\!\diagup\cdot\dfrac{w\cdot\frac{\sqrt{w^2+4h^2}}{2}}{2\!\!\!\!\diagup}\\\\SA=lw+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw}{2}+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw+l\sqrt{l^2+4h^2}+w\sqrt{w^2+4h^2}}{2}$

6 0

2 years ago

My state's lottery has 30 white balls numbered from 1 through 30 and 20 red balls numbered from 1 through 20. In each lottery dr

seropon [69]

The three whites:

(30 choose 1) * (29 choose 1) * (28 choose 1) = 30 * 29 * 28

The two reds:

(20 choose 1) * (19 choose 1) = 20 * 19

So, The three whites + two reds = 30 * 29 * 28 + 20 * 19 = 24740

7 0

2 years ago