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aev [14]
3 years ago
6

margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $24.At another store she can barrow the tile saw f

or free if she buys tiles there for $1.19 per tile. How many tiles must she buy for the cost to be the same at both stores?
Mathematics
2 answers:
Flura [38]3 years ago
8 0
T=number of  tiles bought
cost at store 1 is 0.79t+24
cost at store 2 is 1.19t

when will be equal cost?

0.79t+24=1.19t
minus 0.79t from both sides
24=0.4t
divide both sides by 0.4
60=t

answer is 60 tiles
Elodia [21]3 years ago
3 0
24 + 0.79t = 1.19t
24 = 1.19t - 0.79t
24 = 0.40t
24/0.40 = t
60 = t

they will be equal at 60 tiles
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Tresset [83]

<ABC would equal 106

seeing in triangle ABD angle A equals 67 you would multiply that by 2 and then subtract it from 180 to get 46, and then triangle DBC all the angles would equal 60. so then add 46 to 60 to get 106 the measure of <ABC

3 0
3 years ago
Triangle PQR where P(1,4), Q(-3,-4),R(7,k) is right-angled at Q. find the value of k
NikAS [45]

Answer:

k = -9.

Step-by-step explanation:

As the triangle is right-angled at Q, by Pythagoras:

PR^2 = PQ^2 + RQ^2

So, substituting the given data and using the distance formula between 2 points:

(7 - 1)^2 + (k - 4)^2 =  (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2

36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2

(k - 4)^2 - (k + 4)^2 = 180 - 36

k^2 - 8k + 16 - (k^2 + 8k + 16) = 144

-16k = 144

k = -9.

8 0
3 years ago
Read 2 more answers
What is the value of cose in the diagram below?
Nuetrik [128]

Answer:

cos \theta = 0.6

Step-by-step explanation:

Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

cos \theta = \frac{adjacent}{hypotenuse} , \ where  \  adjacent = 0.6 ,\  hypotenuse \  = r= 1

cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ

3 0
3 years ago
Write the equation of the line that passes through the points (3, 6) and (5, 18) using function notation.
V125BC [204]
D. y = 6x - 12 is the answer
6 0
3 years ago
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The volume of the triangular prism is 54 cubic units.
OverLord2011 [107]

Answer:

x = 3

Step-by-step explanation:

Given:

  • The volume  of the triangular prism : 54 cubic units
  • The base length: 4 unit
  • The height of the base: x
  • The height of the prism : 3x  

As we know that, the formula used to find out the volume of a triangular prism is:

V = 1/2 * The base length * The height of the base * The height of the prism

<=> V = 1/2*4*x*3x

In this question we have V = 54 cubic units

<=> 1/2*4*x*3x  = 54

<=> x^{2} = 9

<=> x = 3

4 0
3 years ago
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