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aksik [14]
3 years ago
13

Consider the net of a triangular prism where each unit on the coordinate plane represents five feet. If a can of spray paint cov

ers 25 square feet, how many cans of spray paint are needed to paint the outside of the prism blue? A) 5 cans B) 7 cans C) 10 cans D)14 cans

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

Answer:

B) 7 cans

Step-by-step explanation:

First task is to determine how many square units we have.

With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.

The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2.  Both have a base of 1 unit, and a height of 1 unit... so  (1 * 1) / 2  = 1/2 for each triangle.  Together, they occupy 1 unit.

So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate.  Each unit is 5 feet.  So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.

Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).

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If 1/8 pound of fertilizer covers 25square feet of ground how much fertilizer in pounds is needed to cover 1 square foot of grou
slamgirl [31]

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0.005

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(1/8) /25

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3 years ago
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The cost per purse is $17 each to make, and she sells them for $35 each. This Saturday, she is renting a booth at a craft fair f
klasskru [66]

T = Total income

N = Number of purses

35N = the selling price of each purse

17N = Cost of each purse

T = 35*N - 17*N - 75

T = 18N - 75

If she wants here total income to be 350 dollars, it will take

T = 350 ; N = unknown.

350 = 18N - 75 Add 75 to both sides.

350 + 75 = 18N

425 = 18N

Rounded N = 24 <<<< Answer. The actually number is 23.611 but you can't sell 0.611 of a purse.

6 0
3 years ago
A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on cateri
pychu [463]
Y=300+40g
Y=5000
5000=300+40g
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5 0
3 years ago
Dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales. Verdadero o falso?
iren2701 [21]

Answer: verdadero.

Step-by-step explanation:

En geometría se dice que dos figuras son semejantes si tienen la misma forma pero no necesariamente el mismo tamaño.

Ahora, lo que define la forma de un triángulo son sus ángulos, entonces si dos triángulos tienen los mismos ángulos, estos triángulos van a tener la misma forma.

Y los lados siendo proporcionales entre ellos (recordar que una relación proporcional es y = k*x) habla de la relación entre los tamaños de los dos triángulos.

Entonces si, "dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales" es verdadero.

5 0
3 years ago
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