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3 years ago

Could someone please tell me the answer

Mathematics

1 answer:

Anna007 [38]3 years ago

4 0

Answer: 12.0

Step-by-step explanation: We need to find the length of one of the leg piece, so this is how we will set up our equation (x is the missing side length):

1. $x^{2}$ + $5^{2}$ = $13^{2}$ (Simplify the square roots)

2. $x^{2}$ +25 = 169 (Subtract 25 from 169)

3. $x^{2}$ = 144 (Take the square root of both sides)

4. x = 12 or 12.0.

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The new dolphin tank at the aquarium has a radius of 75 feet and a height of 20 feet. What is the volume of the dolphin tank? Ro

Travka [436]

Answer:

9,420.0 cubic feet

Step-by-step explanation:

8 0

2 years ago

Find the Value of the letter in the following questions. Give your answers to 3 s.f.

Elis [28]

Answer:

i = 75.7°

h = 48.2°

Step-by-step explanation:

==>To find i, use the sine rule for finding angles: sin(A)/a = sin(B)/b

Where,

a = 7.2cm

sin(A) = i

b = 6.5cm

sin(B) = sin(61) = 0.8746

Thus:

sin(A)/7.2 = 0.8746/6.5

Multiply both sides by 7.2

sin(A) = (0.8746*7.2)/6.5

sin(A) = 0.969 (3 s.f)

A = i° = sin^-1(0.969) = 75.7 (3 s.f)

==>To find h, use the Cosine rule for angles:

Cos(C) = (a²+b²-c²)/2ab

cos(C) = h°, a = 4, b = 4.5, c = 3.5

a² = 16

b² = 20.25

c² = 12.25

cos(C) = (16+20.25-12.25)/(2*4*4.5)

cos(C) = 24/36

cos(C) = 0.667 (3 s.f)

C = h° = cos^-1(0.667) = 48.2° (3 s.f)

4 0

2 years ago

Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there are 12 cookies in each dozen, what is t

Kruka [31]

Answer:

you have to divide 12 by 15

Step-by-step explanation:

4 0

2 years ago

An amusement park offers two options. Option 1 involves a $10 admission fee plus $0.50 per ride. Option 2 involves a $6 admissio

Art [367]

Answer:

16 rides

Step-by-step explanation:

Option 1 . Admission fee = $10

Each ride = $0.50

Option 2 . Admission fee = $6

Each ride = $0.75

Let no. of rides be x

So, cost of ride according to option 1 = 0.50x

So, total cost after having x rides according to option 1 :

= 10+0.50x ---1

Cost of ride according to option 2 = 0.75x

So, total cost after having x rides according to option 2 :

= 6+0.75x --2

Now to find the beak even point i.e. having the same cost

Equate 1 and 2

$10+0.50x=6+ 0.75x$

$10-6= 0.75x-0.50x$

$4= 0.25x$

$\frac{4}{0.25} =x$

$16=x$

Thus for 16 rides , the two options have the same cost .

Hence the break even point is 16 rides

5 0

3 years ago

Please help with this❤️❤️Please plz

k0ka [10]

Answer:

Step-by-step explanation:

the first answer is D

the second is B

6 0

3 years ago