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2 years ago

A metal plate is 8.431 centimeters wide. Which is this measure written in word form?

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

6 0

Answer:

Eight and one hundred thirty-four thousandths

Step-by-step explanation:

Thats how u write it in word form! i hope this helped :)

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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

Three pens cost £1.80 total. Work out the cost in 1 pen. Give your answer in pence

alexira [117]

Wlgptmdgns33wlgptmdgns33

4 0

2 years ago

8 miles in 0.5 hour what rate in miles per hour

yan [13]

In this question it is already given that a person travels 8 miles in 0.5 hours. This is enough information to get to the required answer. Let us first write down all the information's that are already given in the question.
In 0.5 hours the person covers a distance = 8 miles
Then
In 1 hour the person covers a distance of = 8/0.5 miles
= 16 miles
So the speed of the person in miles per hour = 16/1 miles/hour
= 16 miles per hour

8 0

2 years ago

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What is the area of a book that has a length of 5 inches and a width of 10 inches? how do i find the answer?

wlad13 [49]

I hope this helps you

Area=length.width

Area=5.10

Area=50

4 0

2 years ago

Are the co ordinates of A 3,4 ?

Lubov Fominskaja [6]

Answer:

A: 2,3

B: -5,1

for ii and iii and b), the easiest way to find the points are by moving on the x-axis(straight across/ horizontal line), then the y-axis(the up to down one). the first point for example (-3,-2), you would move 3 times to the left, and 2 times to the bottom, because if its a negative x, you move left, while if its a positive x, you move right, and if its a negative y, you move down, while a positive y moves you up.

Step-by-step explanation:

I really hope it helps!!!

4 0

2 years ago

Read 2 more answers