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nalin [4]
3 years ago
13

Find the lateral area of the regular prism with height h, if the base of the prism is: Equilateral triangle with the side 4 cm a

nd h=2.5 cm
Mathematics
2 answers:
Bad White [126]3 years ago
8 0

Answer:

30 cm^2

Step-by-step explanation:

Shtirlitz [24]3 years ago
6 0

Equilateral triangle with the side 4 cm and h=2.5 cm

In equilateral triangle all sides are equal

so all sides are equal in the base of the prism

lateral area of the prism = Perimeter of the base * height

Perimeter of the base equilateral triangle = side + side + side

lateral area of the prism =(side + side + side) * height

= (4+4+4) * 2.5

= 30 cm^2

lateral area of the prism = 30 cm^2

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Zinaida [17]
Answer: -29a-6b+59c
You need to combine like terms
6 0
3 years ago
Read 2 more answers
Anyone know the answer?? ​
Serggg [28]

Answer:

the second option

Step-by-step explanation:

in ax²+bx+c = 0:

x = \frac{-b+-\sqrt{b^2-4ac} }{2a}

subtract both sides by 6 to get to this form, as the right side will be left with 0

6x² + 8x - 6 = 0

here, the coefficient for x² (a) is 6, the coefficient for x (b) is 8, and the remaining number added on (c) is -6

plugging our numbers into the formula, we get

x = \frac{-8+-\sqrt{(-8)^2-4(6)(-6)} }{2(6)}\\= \frac{-8+-\sqrt{64-(-144)} }{12} \\= \frac{-8+-\sqrt{208} }{12} \\ = \frac{-8+\sqrt{208} }{12} or \frac{-8-\sqrt{208} }{12}\\= 0.53518375848 or -1.86851709182\\= approximately -1.87, 0.54

8 0
2 years ago
Tonya took out a loan to help pay for her house. She borrowed $70,000 for 15 years at a yearly simple interest rate of 5%. How m
saveliy_v [14]
Option C is correct.

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8 0
3 years ago
The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population stan
Alexxx [7]

Answer:

1. 0.9544

2. 0.0228

3. 0.0228

Step-by-step explanation:

The computation is shown below;

As we know that

At Normal distribution

P(X < A) = P(Z < \frac{(A - mean)}{standard deviation})

As per the question, the data provided is as follows

Mean = 24.4 minutes

Standard deviation = 6.5 minutes

Based on the above information

P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)

= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)

= P(Z < 2) - P(Z < -2)

= 0.9772 - 0.0228

= 0.9544

2. P(X < 11.4) = 0.0228

3. P(X ≥ 37.4) = 1 - P(X < 37.4)

= 1 - 0.9772

= 0.0228

5 0
3 years ago
Write an equation for a rational function with: Vertical asymptotes at x = 2 and x = -5 x-intercepts at x = 5 and x = -2 Horizon
ludmilkaskok [199]

Answer:

f (x) = 3(x+5) (x+2) / (x-2) (x+5)

Step-by-step explanation:

8 0
3 years ago
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