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Svet_ta [14]
2 years ago
15

The ratio of the corresponding linear measures of two similar cans of vegetables is 5 to 6. The smaller can has a surface area o

f 450 square centimeters. Find the surface area of the larger can.
Mathematics
1 answer:
Sedaia [141]2 years ago
5 0

Answer:

(450/5)*6 = 540 is the surface of the larger can

Step-by-step explanation:

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Round to nearest thousandth!! (3 decimal places) photo attached
aliina [53]

Answer:

<em>Probability point lies on shaded region: ( About ) 0.294</em>

Step-by-step explanation:

<em>~ If we are to find the probability, we must find the area of the shaded figure, over that of the total area of this trapezoid ( whole figure ) ~</em>

Let us get the general dimensions. Firstly, the base of the trapezoid is composed of parts 5, 12, and 5. This is an isoceles trapezoid, meaning that the triangles ( shaded region )  are congruent to one another, including the altitudes. That would mean the non - shaded region is a parallelogram, provided altitudes are congruent and by definition of a trapezoid the bases are congruent.

1. Given the information above, the smaller base is congruent to the opposite side of the parallelogram created, so it is 12 units in length, the larger base being 12 + 5 + 5 ⇒ 22 units

2. By Pythagorean Theorem, if x ⇒ altitude of one of the triangles ( shaded region), 5^2 + x^2 = 13^2 ⇒ 25 + x^2 = 169 ⇒ x^2 = 144 ⇒ altitude = 12 units

3. Now we can find the area of this trapezoid by:  ( base + base/2 ) * altitude ⇒ ( 12 + 22 / 2 ) * 12 ⇒ ( 34 / 2 ) * 12 ⇒ ( 17 ) * 12 ⇒ 204 units^2

5. The shaded region is composed of two triangles, and knowing the triangles are ≅, let us solve for the area of one triangle and multiply that by 2 to find the total area of the shaded region. Area of triangle: 1/2 * base * altitude ⇒ 1/2 * 5 * 12 ⇒ 30 units^2. Area of shaded region: 30 * 2 = 60 units^2

<em>Probability point lies on shaded region: 60/204 ⇒ ( About ) 0.294</em>

8 0
3 years ago
Invested 28, 000 in two accounts, one yielding 8% and the other at 9%. If i receive a total of 2,440 in intrest at the end of th
dalvyx [7]

Answer:

8,000 in the 8% account

20,000 in the 9% account.

Step-by-step explanation:

x + y = 28000

0.08 x + 0.09 y = 2440

0.08 x + 0.09 (28000 − x) = 2440

0.08 x + 2520 − 0.09 x = 2440

80 = 0.01 x

x = 8000

y = 20000

8 0
3 years ago
The doubling time of a population of grasshoppers is 10 days. By what factor does the population of grasshoppers grow in 35 days
12345 [234]
So in 10 days the grasshopper (x) is doubled (2x)
20 days it is 2(2x) or 4x
30 days it is 2(4x) or 8x
in 35 days it is 1/2 of 10 so 1/2 times 2 times 8x=8x

it increased by a factor of 8
8 0
3 years ago
Read 2 more answers
What is the median 7,11,10,13,17,23,25,25,20,18,12,9
ratelena [41]
The median is 24 because u have two 23 and 25 u add it  then divide by 2
3 0
3 years ago
Read 2 more answers
Express 40390 cm into kilometers.
Ierofanga [76]

Answer:

0.40390 km

Step-by-step explanation:

1 cm = 1 / 100000 km

40390 cm

= 40390 / 100000

= 0.40390 km

3 0
2 years ago
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