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s2008m [1.1K]
3 years ago
11

The Drama Club wants to collect at least $1,500 from their performance. They estimate that

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

$3.75

Step-by-step explanation:

$1500 / 400 = $3.75

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Given: <br><br> ∆SPM, PK⊥ SM<br><br> SP = 25, SM = 28, PK = 9<br><br> Find: m∠S, m∠M, PM
nevsk [136]

Answer:

∠S = 21.10°

∠M = 79.45°

PM = 9.16

Step-by-step explanation:

Here Pythagorean theorem and trigonometry suffice to solve our problem.

From the Pythagorean theorem we get:

KM^2+9^2=PM^2 and

(25-KM)^2+9^2=25^2.

We solve for KM in the second equation and get:

(25-KM)=\sqrt{25^2-9^2}

\therefore KM=25-\sqrt{25^2-9^2} =\boxed{1.68}

Now since

SK+KM=25\\\\ SK=\boxed{23.32}

Therefore

{\angle}S=Tan^{-1}(\frac{PK}{SK}) = Tan^{-1}(\frac{9}{23.32})=21.10^o

and

{\angle}M=Tan^{-1}(\frac{PK}{KM}) = Tan^{-1}(\frac{9}{1.68})=79.45^o.

And finally again from the Pythagorean theorem:

PM^2=PK^2+KM^2=9^2+1.68^2

\therefore PM=\sqrt{9^2+1.68^2} =9.16.

Thus,

∠S = 21.10°

∠M = 79.45°

PM = 9.16.

7 0
3 years ago
What is 2x-{2-[2(x-2)-(2-x)]}=0
Ludmilka [50]
2x-(2-(2(x-2)-(2-x)))=0\\&#10;2x-(2-(2x-4-2+x))=0\\&#10;2x-(2-(3x-6))=0\\2x-(2-3x+6)=0\\&#10;2x-(-3x+8)=0\\&#10;2x+3x-8=0\\&#10;5x=8\\&#10;x=\dfrac{8}{5}
3 0
3 years ago
How do I do this I don’t understand?
Hoochie [10]

Answer:

y less then5

Step-by-step explanation:

everything in he store is less than 5

8 0
3 years ago
Find the length of the rectangular plot of land whose weight is 10 M and perimeter is 44 m<br>​
scZoUnD [109]

Step-by-step explanation:

Area of this plot =(84×84) m

2

=7056 m

2

length of rectangular plot =144 m.

We know that the area of the square plot is same as the area of the rectangular plot

Let breadth of rectangular plot be x.

then, 144x=7056 [∵ Area of a rectangle =l×b ]

⟹x=

144

7056

=49 m

∴ The width of rectangular plot is 49 m.

3 0
2 years ago
Marcos has been dealt seven different cards. How many different ways can he play his cards if he is required to play one card at
stepladder [879]
 5,040 ways 

He has 7 choices to pick his first card, 6 choices for his second, and so on. Multiply the number of choices to get the answer.
6 0
3 years ago
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