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WINSTONCH [101]
3 years ago
12

The longest side of an acute triangle measures 30inches. The two remaining sides are congruent, but their length is unknown. Wha

t is the smallest possible perimeter of the triangle, rounded out the nearest hundredth
Mathematics
1 answer:
Nitella [24]3 years ago
8 0

The two short sides must be longer than those required in an isosceles right triangle. The ratio of side length to hypotenuse length in a 45°-45°-90° triangle is 1 : √2. So, such a triangle requires side lengths of 30/√2 ≈ 21.213 inches. Its perimeter will be about

... (30 +21.213 +21.213) in = 72.426 in

Since the perimeter needs to be slightly longer than that for the triangle to be acute, the smallest possible perimeter is ...

... 72.43 in

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What does x equal in 5x + 15 = 28
Minchanka [31]

Answer: 2.6

Step-by-step explanation:

28-15=13

13/5=2.6

Good luck! :)

8 0
2 years ago
Help and please explain so I can do it on my own. There are a couple more on this sheet.​
Andreas93 [3]

Answer:

(2, -10)

Step-by-step explanation:

so first i find the axis of symmetry using the equation x= -b/2a

in this problem

a=3

b= -12

c= 2

- (-12)/ 2(3) = 2

2 will be the x point for your vertex

you then plug in your x point into the original equation and solve for y

y = 3(2)^2 - 12(2) +2

y = -10

Vertex is then (2, -10)

8 0
3 years ago
greg invested $20 and qudrupled his money in five years.sabrena also invested $20 and after five years the amount was eqaul to 2
const2013 [10]

Answer:

The money of Greg after five years is $80

The money of Sabrena after five years is $160,000

So,The money of Sabrena is more than Greg after five years .

Step-by-step explanation:

Given as :

Greg invested $20 and quadrupled his money in five years

Let the quadrupled money after five years = $x

∵ quadrupled means the money becomes 4 times of previous

So, x = $20 × 4

i.e x = $80

So, The money of Greg after five years is $80

Again

Sabrena invested $20 and after five years money becomes 20 to the fourth power

Let the money after 20 to the fourth power = $y

So, y = 20^{4}

i.e y = 160,000

So, The money of Sabrena after five years is $160,000

∵ Sabrena money is more than Greg money

Hence, The money of Sabrena is more after five years . Answer

6 0
3 years ago
Alex spends 2/3 of his paycheck p on food and $3 lose change on coffee how much did he spend
Pani-rosa [81]

Answer:

The total amount Alex spent is $ 9

Step-by-step explanation:

The given parameters are;

The amount Alex spends on food = 2/3 of his paycheck

The amount Alex spends on coffee = $3

Therefore, we have;

Fraction of the paycheck spent on coffee = 1 - 2/3 = 1/3 of p

The  amount Alex spends on coffee = 1/3 of his paycheck

Therefore, we have;

1/3 × p = $3

p = 3 × $3 = $9

The total amount Alex spent = $ 9

The amount Alex spends on food = 2/3 × $9 = $6.

5 0
3 years ago
On a certain hot summers day , 293 people used the public swimming pool. Daily prices are $1.50 for children and $2.50 for adult
fredd [130]

C = children

A = adults

293 = c + a

1.50c + 2.50a = 676.50

We can use substitution to solve:

c + a = 293 subtract a to get c = 293 - a

Plug this into the second equation:

1.50(293 - a) + 2.50a = 676.50

439.5 - 1.50a + 2.50a = 676.50

439.5 + 1a = 676.50

a = 237

Substitute this into the first equation:

293 = c + 237

56 = c

8 0
3 years ago
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