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VLD [36.1K]
3 years ago
6

Mary has 3 rolls of wallpaper. Each roll can cover 127.8 sq ft. If Mary uses all 3 rolls of wallpaper how much sq ft would it co

ver? O 42.6 sq ft O 383.4 sq ft O 124.8 sq ft O 3834 sq ft​
Mathematics
1 answer:
Marianna [84]3 years ago
3 0

Answer:

383.4

Step-by-step explanation:

127.8 * 3

300 + 60 + 21 + 2.4

383.4

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In rectangle ABCD, the angle bisector of ∠A intersects side DC at point M and the angle bisector of ∠C intersects side AB at poi
Verizon [17]
Perimeter of quadrilateral ANCM = AN+NC+CM+MA

CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.

Perimeter (P) = 4x in

Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in

Therefore, P=4*20.5 = 82 in

7 0
4 years ago
Solve |x| &lt; 13<br> A. {-13, 13}<br> B. {x| -13&lt; x &lt; 13}<br> C. {x|x &lt; -13, x&gt; 13}
Gemiola [76]

Answer:

the solution for x will be given by  {x| -13 < x < 13}

Therefore the correct option is B.

Step-by-step explanation:

i) given that |x| < 13

ii) therefore x < 13 for positive values of x

iii) for negative values of x we have -x < 13

    therefore x > -13

iv) from ii) and iii) above we can conclude that the solution for x will be given by {x| -13 < x < 13}

Therefore the correct option is B.

7 0
3 years ago
Find the solution of the differential equation that satisfies the given initial condition. dy/dx=x/y , y(0)=-1
Charra [1.4K]

Separating variables, we have

\dfrac{dy}{dx} = \dfrac xy \implies y\,dy = x\,dx

Integrate both sides.

\displaystyle \int y\,dy = \int x\,dx

\dfrac12 y^2 = \dfrac12 x^2 + C

Given that y(0)=-1, we find

\dfrac12 (-1)^2 = \dfrac12 0^2 + C \implies C = \dfrac12

Then the particular solution is

\dfrac12 y^2 = \dfrac12 x^2 + \dfrac12

y^2 = x^2 + 1

y = \pm\sqrt{x^2 + 1}

and because y(0)=-1, we take the negative solution to accommodate this initial value.

\boxed{y(x) = -\sqrt{x^2+1}}

7 0
2 years ago
Many poker games start with each player being dealt five cards, called the player's "hand". Remember, there are 52 cards in a st
jek_recluse [69]

Answer:

The number of different possible poker hands is found by counting the number of ways that 5 cards can be selected from 52 cards, where the order is not important. It is a combination, so we use c n r

Step-by-step explanation:

The possible number of the poker hands is probably . C 52 5= 52!/5!x47!= 2598960

5 0
3 years ago
an elephant eats about 2500 pounds of food in 10 days. About how muck food does an elephant eat in 1000 days
andriy [413]
2500/10=250
250 represents how much the elephant can eat in one day. Since they want to know how much the elephant can eat in 1000 days you would multiply 250 and 1000 which leaves you with 250,000 pounds of food.

The elephant can eat 250,000 pounds of food in 10 days. :)
3 0
4 years ago
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