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bezimeni [28]
3 years ago
13

Mr. Johns. is building a 5-sided fence. The Planks he is using are 5 In wide. The fence is 30 feet long on each side

Mathematics
2 answers:
Crazy boy [7]3 years ago
8 0

Answer:

Step-by-step explanation:

30 feet * 12 inches / foot = 360 inches

360 inches can be covered by 360 / 5 = 72 planks

Each of the five sides requires 72 planks

72 * 5 = 360 planks

ANTONII [103]3 years ago
6 0
Answer is a have a good day
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Find the LCM of 18 and 45 using prime factorizations. ​
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Answer:

The L.C.M. of 18 and 45 is 90.

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2 years ago
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Which expression is equivalent to 4x2 - 4x – 3 in factored form?
erastovalidia [21]

Answer:

(2x-3)(2x+1)

Step-by-step explanation:

4x^2 - 4x - 3

we need two numbers that give 12 when multiplied and 4 when subtracted

the numbers are 6 and 2 because 6*2=12 and 6-4=4.

4x^2 - (6-2)x -3

4x^2 -6x +2x -3

take common

2x(2x -3)+1(2x-3)

take (2x-3) as common

(2x-3)(2x*1 + 1*1)

(2x-3)(2x+1)

3 0
2 years ago
a missile is launched from the ground. its height, h(x), can be represented by a quadratic function in terms of time, x, in seco
fomenos

Answer:

The height of the missile in the air  after 11 seconds is 330 feet.

Step-by-step explanation:

The standard form for the quadratic function f(x)= ax^2 + bx + c, which is the function of the parabola model.

We are given two points.

(1, 130) and (2, 240)

Here the first coordinate represents the x (time) and the second coordinate represents h(x), which is height.

Now plug these two coordinates and find the two equations.

(1, 130), the equation is

130 = a.(1)^2 + b(1) + c, where "c" is the initial height. Which is equal to zero.

Therefore, we get

130 = a + b + 0

a + b = 130 -------(1)

Now let's form the second equation using the coordinate (2, 240)

240 = a(2)^2 + b(2) + 0

240 = 4a + 2b -------------(2)

Now let's solve the equations (1) and (2) and find the value of "a" and "b"

a + b = 130 can be written as a = 130 - b

Here we can use the substitution method.

Now plug in a = 130 - b in the second equation, we get

240 = 4(130 - b) + 2b

240 = 520 - 4b + 2b

240 = 520 - 2b

2b = 520 - 240

2b = 280

Dividing both sides by 2, we get

b = 140

Now plug in b = 140 in a = 130 -b and find the value of a

a = 130 - 140

a = -10

Now we got a = -10 and b = 140.

We plug in a = -10 and b = 140 in the general form, we gety

h(x) = -10x^2 + 140x + c

Where c is the initial height, which is equal to 0.

h(x) = -10x^2 + 140x

Now plug in x = 11 seconds and find the height.

h(11) = -10(11)^2 + 140 (11)

= -10 (121) + 1540

= - 1210 + 1540

h(11) = 330 feet,

Therefore, the height of the missile in the air  after 11 seconds is 330 feet.

6 0
3 years ago
Helen wants to buy a dictionary that costs $7, a dinosaur book that costs $16, and a children's cookbook that costs $17. She has
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Answer:

Helen requires 15$ more to buy the three books.

Step-by-step explanation:

We are given the following in the question:

Cost of dictionary = $7

Cost of dinosaur book = $16

Cost of cook book = $17

Helen's allowance = $25

Total cost of three books =

=7 +16+17\\=\$ 40

Extra money required to buy three books =

=40-25\\=\$15

Thus, Helen requires 15$ more to buy the three books.

8 0
3 years ago
The table shows the distance that two trains are from center station at various times of the day
VLD [36.1K]

Answer: Train 2 is traveling 4 miles per hour faster than train 1.

Hope this helps..... Stay safe and have a Merry Christmas!!! :D

3 0
2 years ago
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