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miskamm [114]
3 years ago
5

Factor the trinomial below. x2 + 14x + 48

Mathematics
1 answer:
elixir [45]3 years ago
4 0
IF IT EQUALS 0
1. find two number that multiplied to 48 and adds to 14, which are 6 and 8.

2. substitute the new numbers in with x to get x^2 + 6x + 8x + 48.

3. factor out the x and the 8 to get x(x+6)+8(x+6).

4. x = -6, x = -8

IF IT DOES NOT EQUAL 0
then (x+6)*(x+8) is your answer.
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A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t
Vlad1618 [11]

Answer:

 185553.7\text{ feet}^3

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is 84\text{ feet}, and the total height of the building up to the top of the dome is 91\text{ feet}.

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be h\text{ feet}

As the dome hemispherical.

circumference of a hemisphere =\frac{1}{2}\times2\pi\times radius

                                                    =\pi\times radius

                                                    \frac{22}{7}\times radius=84

                                                    radius=26.75\text{ feet}

total height of the building up to the top of the dome =\text{radius of hemisphere}+\text{height of mountaintop}

=26.75+h=91

h=64.25\text{ feet}

Volume of building =\text{volume of cylindrical mountaintop}+\text{volume of dome}

                                =\pi(radius)^2h+\frac{2}{3}\pi(radius)^3

as radius of mountain top is same as dome

putting values

                                =3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3      

                               =145484.6+40069.1

                               185553.7\text{ feet}^3

Hence the total volume of the building is 185553.7\text{ feet}^3                                      

5 0
3 years ago
Factor tree for 30 and 54
elena-14-01-66 [18.8K]

Answer:

30|2

15|3

5|5

1

54|2

27|3

9|3

3|3

1

5 0
3 years ago
Read 2 more answers
What type of shape will the reflected figure be?
julsineya [31]
How does your figure look like?
8 0
3 years ago
Read 2 more answers
4 • (6 – 4) 2 ÷ 2
Dmitry_Shevchenko [17]

Answer:

Cary is wrong

Step-by-step explanation:

4* (6-4)= 4* 2=8

I think it is saying (8*2) divided by to, which in that case is 8,

but if it is asking 8 (2/2) then that would also be 8 I believe. I really hope this is correct and you have a great day :)

5 0
2 years ago
Read 2 more answers
rebecca wants to crochet a scarf that is at least 4.4 feet long. So far, she's completed 2.5 feet. How much more does Rebecca in
vlabodo [156]

Answer:

4.4 < 2.5 +x

She needs to crochet at least 1.9 more ft

Step-by-step explanation:

She wants the scarf to be at least 4.4 ft long

4.4< scarf

The scarf is 2.5 ft long now

She will crochet x more ft

4.4 < 2.5 +x

Subtract 2.5 from each side

4.4 -2.5 < 2.5+x-2.5

1.9 <x

She needs to crochet at least 1.9 more ft

3 0
3 years ago
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