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VARVARA [1.3K]
3 years ago
14

Find the length of the missing side. 34 ft ? 30 ft​

Mathematics
1 answer:
mart [117]3 years ago
5 0

Step-by-step explanation:

let p be perpendicular, ( ^ refers to exponent )

by pythagorus theorem,

hypotenuse^2 = perpendicular^2 + base^2

  • 34^2 = p^2 + 30^2
  • 1156 = p^2 + 900
  • p^2 = 1156 - 900
  • p^2 = 256
  • p = root 256
  • p = 16

so we get p = perpendicular = 16 feets

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Diana is painting statues. She has \dfrac{7}{8} 8 7 ​ start fraction, 7, divided by, 8, end fraction of a liter of paint remaini
anzhelika [568]

Answer:

Number of statues that can be painted are 17

Step-by-step explanation:

Initially Diana has \frac{7}{8} liters of paint remaining.

Every statue requires \frac{1}{20} liters of paint for painting.

We have to find how many statues we will be able to paint with this remaining paint.

To get the number of statues,

Number of statues = \frac{Paint remaining}{Paint required for 1 statue}

number of statues = \frac{\frac{7}{8} }{\frac{1}{20} }

                               = \frac{35}{2} = 17.5

Since the number of statues is not an integer the maximum number of statues that can be painted are 17.

3 0
3 years ago
Read 2 more answers
Find the range of the graph
Alex

Answer:

4,-7 = 11

and

6, -9 = 15

3 0
3 years ago
Use the following situation for the next few questions:
Olegator [25]

Answer:

5 oil changes.

Step-by-step explanation:

60 = 12x + 15y

60 = 12x + 15(0)

60 = 12x + 0

60

---- = x

12

5 = x

4 0
3 years ago
A polynomial function has zeros -1, 2, and 7 (all multiplicity 1). Write a function in standard form that could represent this f
Hoochie [10]

Answer:

<u>x^3-8x^2+5x+14</u>

Step-by-step explanation:

(x+1)(x-2)(x-7)

x^3-8x^2+5x+14

7 0
3 years ago
How many extraneous solutions exist for the logarithmic equation below if it is solved in the most efficient way possible?log_(2
Nadusha1986 [10]

Answer:

No extraneous solution

Step-by-step explanation:

We have the logarithmic equation given by,

\log_{2}[\log_{2}(\sqrt{4x})]=1

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i.e. \sqrt{4x}=2^{2}

i.e. \sqrt{4x}=4

i.e. 4x=4^{2}

i.e. 4x=16

i.e. x=4

So, the solution of the given equation is x=4.

Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is ( 0,\infty ).

Therefore, the domain of the given function is x > 0.

We know that the extraneous solution is the solution which does  not belong to the domain.

But as x=4 belongs to the domain x > 0.

Thus, x = 4 is not an extraneous solution.

Hence, this equation does not have any extraneous solution.

7 0
3 years ago
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