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USPshnik [31]
1 year ago
13

May I please get help with other this problem for I am confused as I have tried multiple times to get the right answer

Mathematics
1 answer:
Aleks [24]1 year ago
5 0

Using pythagoras

\begin{gathered} x^2=16^2+12^2 \\ x^2=256+144 \\ x^2=400 \\ \text{Take the square root} \\ x=20 \end{gathered}

The final answer

20

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valentina_108 [34]

<em>Answer:</em>

<em>7/78 - 35/78i</em>

<em>Step-by-step explanation:</em>

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<em>a + bi </em>

<em> </em>

<em>For the expression, 7/ 3-15i </em>

<em> </em>

<em>(7/ 3-15i) (3+15i) </em>

<em>21 - 105i / (234) </em>

<em>7/78 - 35/78i </em>

4 0
3 years ago
Juan ordered 20 pizzas for a party.
MakcuM [25]

Answer:

100% of the pizzas have 12 slices or 8 slices

(20x.45x8) + (20x.55x12) = total slices

7 0
3 years ago
Read 2 more answers
mb- The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (2,100) and
Evgesh-ka [11]

Answer:

1200

Step-by-step explanation:

We can gather from what's given that y=20xy represents the total number of bottles produced in the given time in seconds, which is x. When x=1, y=20, This means that each second the machine can make 20 soda bottles. Each minute is 60 seconds, so when x=60, y=20*60 =1200 soda bottles.

5 0
2 years ago
6. On a bank account of $2,500, how much yearly interest will be paid if the rate is3.4%?
iVinArrow [24]

Multiply the amount in the account by the interest rate:

2500 x 0.034 = 85.00

Answer: $85.00

5 0
2 years ago
A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.
Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

\Rightarrow z=\frac{19652}{xy}......(2)

putting the value of z in the equation (1)

f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})

\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}

The partial derivatives are

f_x=y-\frac{39304}{x^2}

f_y=x-\frac{39304}{y^2}

To find the dimension of the box set the partial derivatives f_x=0 and f_y=0.Therefore y-\frac{39304}{x^2}=0

\Rightarrow y=\frac{39304}{x^2}.......(3)

and   x-\frac{39304}{y^2}=0

\Rightarrow x=\frac{39304}{y^2}.......(4)

Now putting the x in equation (3)

y =\frac {39304}{(\frac{39304}{y^2})^2}

\Rightarrow y=\frac{y^4}{39304}

\Rightarrow y^3= 39304

⇒y=34 cm

Then \Rightarrow x=\frac{39304}{34^2} =34 cm.

Putting the value of x and y in the equation (2)

z=\frac{19652}{34 \times 24}

  =17 cm.

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

4 0
3 years ago
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