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2 years ago

The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor

Mathematics

1 answer:

riadik2000 [5.3K]2 years ago

4 0

Answer:

10 ft

Step-by-step explanation:

Use theorem pythagoras

Length = x

${x}^{2} = 8 {}^{2} + {6}^{2} \\ x = - 10 \\ x = 10$

the answer is 10 because length can't be in negative number

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A luxury chairs manager found that an employee made 3/4 of a chair every 3/8 of an hour

ella [17]

Answer:

Step-by-step explanation:

(3c/4)/(3h/8)

(3c/4)(8/3h)

(24/12)c/h

2 c/h

So employee can make 2 chairs in one hour.

7 0

2 years ago

The ratio of pink roses bushes to white rose bushes in the city Garden is about 12 to 15. If there were 92 pink rose bushes, abo

andreyandreev [35.5K]

Answer:

$115\ white\ rose\ bushes$

Step-by-step explanation:

Let

x------> the number of pink roses bushes

y----> the number of white rose bushes

we know that

$\frac{x}{y} =\frac{12}{15}$

$y=\frac{15}{12}x$ -----> equation A

$x=92$

substitute the value of x in the equation A

$y=\frac{15}{12}(92)=115\ white\ rose\ bushes$

8 0

3 years ago

3^x = 27^a+b and a^2-b^2/(a-b)=5 What is x?

Colt1911 [192]

Your answer should be 3x-x+2=4 hope this helps..

4 0

3 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)

malfutka [58]

Answer:

The magnitude is $\Delta f(0,8) = 72$

The direction is $i$ i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

The function is $f(x, y) = 9sin(xy) \ \ \$

The point considered is $(0,8 )$

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

$\Delta f(x,y) = [\frac{\delta f(x,y)}{\delta x } i + \frac{\delta f(x,y)}{\delta y } j ]$

$\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]$

$\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]$

At $(0,8 )$

$\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]$

$\Delta f (0,8) = 72 i$

3 0

2 years ago

Which trinomials are perfect square trinomials?

lora16 [44]

Perfect square is
a²+2ab+b²

so just take the square root of the end ones and add then double to get middle term

A.
m+10=10m, doubled is 20m
nope

B.
m+5=5m, doubled is 10m, yep

C.
m+2√15=fancy thing that won't get to 36m

D.
m+12=12m, doubled is 24m, yep

B and D

3 0

2 years ago

Read 2 more answers