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3 years ago

Hector is decorating a ballroom ceiling with garland. If the rectangular ceiling is 65 meters by

Mathematics

1 answer:

likoan [24]3 years ago

8 0

Answer:

d = 97 m

Step-by-step explanation:

Given that,

The dimensions of the rectangular ceiling is 65 meters by 72 meters.

We need to find how much garland will Hector need to reach from one corner of the ceiling to the opposite corner. Let it is d. It will be the diagonal of the rectangle. We can find it using Pythagoras theorem as follows :

$d=\sqrt{65^2+72^2} \\\\d=97\ m$

So, 97 m of garland Hector will needed to reach from one corner of the ceiling to the opposite corner.

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There are 30 students in a class. 12 of the students are boys. a) Write the amountof boys in the class as a fraction in its simp

dalvyx [7]

Answer:

a)2/5

b)3/5

Step-by-step explanation:

a) 12 are boys and 30 is the whole class so 12/30=6/15=2/5

b)if 12 are boys then 30-12=18 girls

18/30=3/5

8 0

3 years ago

Which digit has the same value in 123,456,789 and 987,654,321

tatuchka [14]

It's the 5 between the 4 and the 6

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3 years ago

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The volume of a sphere is 1928π m3 . What is the surface area of the sphere to the nearest tenth?

Rufina [12.5K]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad \begin{cases}
r=radius\\
------\\
V=1928\pi 
\end{cases}\implies 1928\pi =\cfrac{4}{3}\pi r^3
\\\\\\
1928\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3\cdot 1928\pi }{4\pi }
=r^3\implies 1446=r^3
\\\\\\
\sqrt[3]{1446}=r\\\\
-------------------------------\\\\
\textit{surface area of a sphere}\\\\
S=4\pi r^2\qquad r=\sqrt[3]{1446}\implies S=4\cdot \pi \cdot \sqrt[3]{1446^2}$

8 0

3 years ago

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A ball is thrown into the air. The height h, in feet, of the ball after x seconds is given by the function h = −16(x − 2)2 + 72.

Annette [7]

Answer:

Step-by-step explanation:

h = −16(x − 2)² + 72

= −16((x − 2)(x − 2)) + 72 expand the square (x - 2)² = (x - 2)(x - x)

= -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72

= -16 (x² + (-2x) + (-2x) + (4) ) + 72

= -16 (x² + (-4x) + (4) ) + 72

= -16 (x² - 4x + 4 ) + 72

= (-16)(x²) + (-16)(-4x) +(-16)(4) + 72

= -16x² + 64x - 64 + 72

= -16x² + 64x + 8 My guess is D ; 72 ???

I have no clue what the ; 72 means after the given answer. It must be a standard form thing I never learned.

4 0

3 years ago

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Find a formula for the linear function passing through the points (-1,14) and (2,-10)

tensa zangetsu [6.8K]

A(-1;14), x=-1, y=14

B(2;-10), x=2, y=-10

General equation for linear function is $y=mx+b$

Let's solve system of equations

$\displaystyle\\\left \{ {{14=-1m+b} \atop {-10=2m+b}} \right. \\\\\left \{ {{b=14+m} \atop {2m+b=-10}} \right. \\\\2m+(14+m)=-10\\3m=-24\\m=-8=>b=14+(-8)=6\\\text{Answer}: y=-8m+6$

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2 years ago