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s344n2d4d5 [400]
3 years ago
14

A tangerine juice container is in the shape of a rectangular prism. The width is 26

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0

Answer:

V = 26d^2 + 624d

Step-by-step explanation:

Volume = Width x Depth x Height

V = 26 (d) (d+24)

Now distribute 26

V = 26d(d+24)

Then distribute 26d

V = 26d^2 + 624d

You might be interested in
D=rt solve the equation for the red variable which is T
Damm [24]

t=D/r

Divide r by both sides to get t by itself.

4 0
3 years ago
Read 2 more answers
Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees
storchak [24]

Answer:

A=34\ units^2

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

A = 30\°\\\\B = 45\°\\\\b = 10

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

A + B + C = 180\\\\30 + 45 + C = 180

We solve the equation and thus we find the angle C.

C = 180 - 30-45\\\\C = 105

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The  sine theorem says that:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Then

\frac{sin(30)}{a}=\frac{sin(45)}{10}

\frac{sin(30)}{\frac{sin(45)}{10}}=a

a=7.071

Also

\frac{sin(105)}{c}=\frac{sin(45)}{10}

\frac{sin(105)}{\frac{sin(45)}{10}}=c

c=13.660

Finally, we use the Heron formula to calculate the triangle area

A=\sqrt{s(s-a)(s-b)(s-c)}

Where s is:

s=\frac{a+b+c}{2}

Therefore

s=\frac{7.071+10+13.660}{2}

s=15.37

A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}

A=34\ units^2

3 0
3 years ago
the ratio of men and women in a certain factory is 3 to 4. there are 198 men. How many workers are there?
LUCKY_DIMON [66]

3 men

4 women

7 total


3 men/ 7 total = 198 men/ x total

using cross products

3*x = 7 * 198

divide each side by 3

x = 7*198/3

x = 462

There are 462 workers


If you mean 3 men and 1 women for a total of 4 workers when you state a  ratio of men and women in a certain factory is 3 to 4.

3/4 =198/x

Using cross products

3x = 4* 198

Divide each side by 3

3x/3 = 4*198/3

x =264

264 workers


It all depends on how you define ratio of men and women in a certain factory is 3 to 4.   This is incorrect phrasing and I took it to be men to women.   You cannot have a ratio of men and women.




5 0
3 years ago
Do these ordered pairs represent a function?<br> (0, 1), (0, 2), (2,3), (4,8)
Aleksandr-060686 [28]

Answer:

No

Step-by-step explanation:

To be a function, each input can only go to one output

0 goes to 1 and 2 so it cannot be a functions

8 0
3 years ago
25 lb greater or less than 384 oz
NeTakaya
25 lbs would be greater than 384 oz because 384 divided by 16 (because 16 oz per lb) =24lbs
so 25lbs > 384 oz
7 0
3 years ago
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