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HACTEHA [7]
3 years ago
15

A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table t

o help answer the question.
Mathematics
2 answers:
beks73 [17]3 years ago
7 0

Answer:

674,800\ centigrams

Step-by-step explanation:

we know that

1\ dekagram=1,000\ centigrams

so

by proportion

\frac{1,000}{1}\frac{centigrams}{dekagram}=\frac{x}{674.8}\frac{centigrams}{dekagram}\\ \\x=674.8*1,000\\ \\x=674,800\ centigrams

Mrac [35]3 years ago
4 0
A crate of bananas weighing 674.8 dekagrams would also be 674,800 centigrams. There are 0.001 dekagram in a centigram.  So, all you have to do is multiply the number of dekagrams by a thousand.

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A parabola can be drawn given a focus of ( - 8,0) and a directrix of y= - 2 What can be said about the parabola?
Tcecarenko [31]

Answer:

The equation of the parabola is:

y

=

1

32

x

2

Explanation:

Please notice that we know that the parabola opens upward or downward, because the directrix is a horizontal line:

y

=

−

8

This tells use that the equation of the parabola of the form:

y

=

f

(

x

)

Not

x

=

f

(

y

)

.

Furthermore, we can see that it must open upward, because the y coordinate of the focus is above the directrix.

The vertex has the same x coordinate as the focus:

x

=

0

And its y coordinate is halfway between the focus and the directrix:

y

=

8

−

8

2

=

0

Therefore the vertex is

(

0

,

0

)

Use the vertex form of the equation of a parabola that opens upward or downward:

y

=

a

(

x

−

h

)

2

+

k

where the vertex is the point

(

h

,

k

)

.

Substitute the vertex into the equation:

y

=

a

(

x

−

0

)

2

+

0

Simplify:

y

=

a

x

2

The distance, f, from the vertex to the focus is,

f

=

8

; this allows use to find the value of

a

, using the equation:

a

=

1

4

f

a

=

1

32

The equation of the parabola is:

y

=

1

32

x

2

Step-by-step explanation:

7 0
3 years ago
Sam ordered 2 tacos and 3 enchiladas for lunch at the restaurant. His bill came to $7.80. If enchiladas were $2 each, write and
maksim [4K]
$0.90 for the tacos. 3 enchiladas multiples by $2.00 is $6.00. then $1.80 is left so then you divide $1.80 divided by 2 and you get 0.9 and add the $ and then the 0 at the end
4 0
3 years ago
Read 2 more answers
40 tens = how Many hundreds
Dvinal [7]
400 hundreds I think
6 0
4 years ago
What is twenty thousand more than the smallest digit number
zvonat [6]
It would be 20000 more than the smallest number. the smallest number could go on forever, infinity. unless you have a "smallest" number
6 0
3 years ago
PLEASE HELP! SO Confused
Diano4ka-milaya [45]

Answer:

12.73 Degrees

Step-by-step explanation:

I'm going to assume some things. The height of the truck is not changing, i.e. the distance and length of the ramp are but the height stays the same.

We draw our right triangle, see photo*

We really only care about finding out what side a is so

c = \frac{a}{sin(A)} \\12 = \frac{a}{sin(36)} \\12sin(36) = a\\a = 7.05342302750\\sin(x) = (\frac{opp}{hyp} )\\sin(x) = (\frac{7.05342302750}{12} )\\= 35.9999 \:degrees

So, since I stated that height did not change, the same process just using 32 for the hypotenuse.

sin(x) = (\frac{opp}{hyp} )\\sin(x) = (\frac{7.05342302750}{32} )\\= 12.73367164 \:degrees

6 0
3 years ago
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