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FinnZ [79.3K]
2 years ago
12

A solar fire starter is designed so that its cross-sections are in the shape of a parabola. Given that the diameter of the solar

fire starter at its opening is 24 centimeters and the igniter is located 9 centimeters from the base along the axis of symmetry, what is the depth of the fire starter
Mathematics
1 answer:
Fofino [41]2 years ago
6 0

Answer:

x=0.04m

Step-by-step explanation:

From the question we are told that:

Diameter d=24cm

Radius r=24/2=>12cm

Igniter distance d_g=9cm

Generally the equation for depth  is mathematically given by

 r^2=4d_gx

Therefore

 x=\frac{r^2}{4d_g}

 x=\frac{12^2}{4*9}

 x=4cm

 x=0.04m

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Nia has a number cards for 2,3,8,9,5.what are all the different ways nia can arrange the cards to show only even numbers with th
Margarita [4]
<span>1.       </span><span>Nia has 2, 3, 8, 9 and 5 in her cards. How can she arrange it to be an even numbers with the 2 in the ten thousands place.
Now, Nia has 5 cards, that means, the biggest value she can have is ten thousands which is stated to be 2.
=> 20 000
=> We still have 3, 8, 9 and 5
=>  Let’s have 3 thousands, which is also an even number
=> let’s have 5 as hundreds, also an even number
=> We can have 9 tens, which is also an even number
=> and last is 8 ones, which is also an even number
Thus, the number will be:
=> 23 598, this is an even number because it can be divide by 2
=> 11 799
 


</span>



7 0
3 years ago
A can of tuna has a diameter of 4 Inches and a helght of 3 inches. What is the volume of the can of tuna? (Use 3.14 for
wariber [46]

Answer:

37.68 Inches cubed (A)

Step-by-step explanation:

The formula for a cylinder is:

πr^2(h)

First, let's find the radius, which is:

4/2 = 2

Now, we can plug in the values:

3.14(2)^2(3)

Do exponents first:

3.14(4)(3)

Multiply left to right:

12.56(3)

Again:

37.68 Inches

So, the answer is:

37.68 Inches cubed (Or A)

Hope this helps!

7 0
3 years ago
What are the domain and range of f(x)-[x-2] +1
svetlana [45]
Replace <span><span>f<span>(x)</span></span><span>f<span>(x)</span></span></span> with <span>yy</span>.<span><span>y=<span>x2</span>−1</span><span>y=<span>x2</span>-1

</span></span>Interchange the variables.<span><span>x=<span>y2</span>−1</span><span>x=<span>y2</span>-1

</span></span>Solve for <span>yy</span>.
<span><span>y=<span>√<span>1+x</span></span>,−<span>√<span>1+x</span></span></span><span>y=<span>1+x</span>,-<span>1+x

</span></span></span>Solve for <span>yy</span> and replace with <span><span><span>f<span>−1</span></span><span>(x)</span></span><span><span>f<span>-1</span></span><span>(x)</span></span></span>.
<span><span><span>This is your answer=f<span>−1</span></span><span>(x)</span>=<span>√<span>1+x</span></span>,−<span>√<span>1+x</span></span></span><span><span>f<span>-1</span></span><span>(x)</span>=<span>1+x</span>,-<span>1+x
Hope you have a wonderful day! hope this helps!



</span></span></span>
7 0
3 years ago
Johny Deposited 50000 rupees, Jaleel 40000 and Jaleel 20000 rupees to start a business together.They got 3300 rupees as a profit
Andrews [41]

Step-by-step explanation:

Step one:

Johny Deposited 50000 rupees,

Jaleel 40000 and

Jaleel 20000 rupees

total deposits = 110,000

They got 3300 rupees as a profit in a month

Johny's investment in percent

50000/110000= 0.45%

Jaleel's investment in percent

40000/110000= 0.36%

Jaleel's(2) investment in percent

50000/110000= 0.18%

They will get

Johny =0.45*33000= 1485 rupees

Jaleel= 0.36*3300= 1188 rupees

Jaleel(2)= 0.18*3300=594 rupees

7 0
3 years ago
Please help quick thank you!
ipn [44]

Answer:

Neither

Step-by-step explanation:

After substituting the ordered pair into the equation, none of the pairs satisfy the equation

because 6(3)+3(-2)=12 and 6(2)+3(2)=18.

8 0
3 years ago
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