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lesya692 [45]
3 years ago
11

A marching band with 75 members makes two rectangular marching formations. One rectangle has 6 rows and the other rectangle had

9 rows.
Mathematics
1 answer:
Ugo [173]3 years ago
6 0
The rectangle with 6 rows has 30 people in the whole rectangle.  The rectangle with 9 rows has 45 people.

6 x 5 =30

9 x 5 =45

30+45 =75 people
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Tan(2 sin^-1 0.4)<br> Find the Exact value
stiv31 [10]

Answer:

tan(2u)=[4sqrt(21)]/[17]

Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]

If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

Note:

0.84=0.04(21)

So the principal square root of 0.04 is 0.2

Sqrt(0.84)=0.2sqrt(21).

tan(2u)=[(20)(0.2)(sqrt(21)]/[17]

tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

7 0
3 years ago
Please help will mark branlist!!
insens350 [35]

Answer:

x=9

Step-by-step explanation:

Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:

7x+49=2x+94

7x-2x=94-49

5x=45

x=45/5

x=9

8 0
3 years ago
D-1/2=5/12 what is d??
EleoNora [17]

Answer:

d = \frac{11}{12}

Step-by-step explanation:

1) To solve for d, isolate it in the equation. So, to get rid of the -\frac{1}{2} with the d, add \frac{1}{2} to both sides.

d-\frac{1}{2}  = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}

Thus, d = \frac{11}{12}.

6 0
3 years ago
Soumik has $5 less than his friend Kofi. If they have $97.50 altogether, how much does each
Basile [38]

Answer:

$190 is the answer

minus $5 from $97.50 and add that number to $97.50

5 0
3 years ago
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Jay has 13 posters to hang. He hangs 5 in the morning. Then he hangs 4 more in the afternoon. How many posters does J have left
Harlamova29_29 [7]

Answer:

He has 4 more to hang

Step-by-step explanation:

13 total; you  must add the 5 he already hung in the morning plus, the 4 he hung in the afternoon; leaving you with 4 because 5 plus 4 is 9. 13 minus 9 is 4.

6 0
3 years ago
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