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Ostrovityanka [42]
3 years ago
9

you're making a cover for a rectangular sofa cushion how much fabric do you need to cover the entire cushion with a length of 20

in a width of 48 in and a height of 5 in​

Mathematics
1 answer:
const2013 [10]3 years ago
3 0

Answer: 2,600 inches of fabric

Step-by-step explanation:

1st

Formula= 2wl+2lh+2wh

Fill in the numbers

2(20)(48)+2(20)(5)+2(5)(48)

2nd

Now solve

2(20)(48)+2(20)(5)+2(5)(48)

1,920 + 200 + 480

3rd

Solve this now

1,920 + 200 + 480

Answer: 2,600

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Every ten years, the bureau of the census counts the number of people living in the united states. in 1790, the population of th
DanielleElmas [232]
If you are trying to see how much the population is in 1800, it is  9.24 million. You add the population from 1790 and the amount it has grown for 1800.
6 0
4 years ago
In the binomial probability distribution, let the number of trials be n = 4, and let the probability of success be p = 0.3418. U
Lorico [155]

Answer:  (a) 0.105   (b) 0.014  (c) 0.119

Step-by-step explanation:

Binomial probability distribution formula :

P(X=x)= \ ^nC_x p^x(1-p)^{n-x} , where x= number of successes, p= probability of success in each trial, n= number of trials.

Given: n= 4 , p= 0.3418

(a)

P(X=3)=\ ^4C_3(0.3418)^3(1-0.3418)^1\\\\=(4)(0.026282946626)\\\\\approx0.105

(b)

P(X=4)=\ ^4C_4(0.3418)^4(1-0.3418)^0\\\\=(1)(0.013648604006)\\\\\approx0.014

(c)

P(X= 3\ o\r X=4)= P(X=3) +P(X=4)\\\\=0.105+0.014\\\\=0.119

8 0
3 years ago
Melody wants to buy a shirt the shirt cost $65 and the store is offering a 25 discount what is the sale price
bixtya [17]

Answer:

48.75

Step-by-step explanation:

5 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
larisa86 [58]

Answer:

y = -2x^2 -4x +5

Step-by-step explanation:

The vertex is at (-1,7)  and the y intercept is at (0,5)

The vertex form of a parabola is

y = a(x-h)^2 +k

where (h,k) is the vertex

y = a(x--1)^2 +7

Then substitute the point into the equation

y = a(x+1)^2 +7

5  = a(0+1)^2 +7 +7

Subtract 7 from each side

5-7 = a(1)^2

-2 = a

y = -2(x+1)^2 +7

Now FOIL

y = -2 (x^2 +2x+1) +7

Then distribute

y = -2x^2 -4x-2 +7

y = -2x^2 -4x +5

5 0
3 years ago
Read 2 more answers
15 POINTS! PLEASE HELP!
notka56 [123]

Answer:

DC = 1332.95 feet

Step-by-step explanation:

From the figure attached,

Let the measure of DC = h ft

And measure of side BC = a ft

By applying tangent ratio in ΔBCD,

tan(56°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

             = \frac{DC}{BC}

             = \frac{h}{a}

h = a[tan(56°)] --------(1)

By applying tangent rule in ΔACD,

tan(22°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(22°) = \frac{DC}{BC+AC}

             = \frac{h}{a+2400}

h = (a + 2400)tan(22°) ------- (2)

Equating the values of h from equations (1) and (2),

a[tan(56°)] = (a + 2400)tan(22°)

a[tan(56°) - tan(22°)] = 2400[tan(22°)]

1.0785a = 968.6629

a = 899.085 ft

From equation (1),

h = 899.085[tan(56°)]

h = 1332.948

h ≈  1332.95 ft

7 0
3 years ago
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