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3 years ago

Can u put this from least to greatest 0.5 0.45 3/5

Mathematics

1 answer:

Solnce55 [7]3 years ago

4 0

from Least to Greatest:

0.45 < 0.5 < 3/5

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Lesson 16

Goshia [24]

Answer:

546 ft³

Step-by-step explanation:

In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.

Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²

Area of the rectangle: 1.5*11 = 16.5 ft²

Total area: 120 + 16.5 = 136.5 ft²

Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³

6 0

3 years ago

Evaluate cos0 if sin0= sqrt(5)/3 a. 9/5 b. 2/3 c. 5/9 d. 3/2

Evgesh-ka [11]

Solution given:

$\sin( \alpha ) = \frac{\sqrt{5} }{3}$

P=√5

h=3

b= $\sqrt{3 {}^{2} - \sqrt{5} {}^{2} }$

b=2

$\cos( \alpha ) = \frac{b}{h} = \frac{2}{3}$

Note

$\alpha = 0$

b:⅔

8 0

2 years ago

You and your friend are comparing two loan options for a $165,000 house. Loan 1 is a 15-year loan with an annual interest rate o

Harlamova29_29 [7]

Answer:

No, he is wrong.

Step-by-step explanation:

Since, the total payment of a loan after t years,

$A=P(1+r)^t$

Where,

P = present value of the loan,

r = rate per period ,

n = number of periods,

Given,

P = $165,000,

In loan 1 :

r = 3% = 0.03, t = 15 years,

So, the total payment of the loan is,

$A_1 = 165000(1+0.03)^{15}=165000(1.03)^{15}\approx \$ 257,064.62$

In loan 2 :

r = 4% = 0.04, t = 30 years,

So, the total payment of the loan is,

$A_2 = 165000(1+0.04)^{30}=165000(1.04)^{30}\approx \$ 535,160.59$

Since, $A_1 < A_2$

Hence, total amount repaid over the loan will be less for Loan 1.

That is, the friend is wrong.

7 0

3 years ago

The spring of a dart gun exerts a force on a 0.02 kg dart as it launched from the gun at 20 m/s. What is the dart ke

seraphim [82]

Answer: The dart comes out at 20.00 m/s.

7 0

2 years ago

Number 3 and how you got the answer

melomori [17]

You have the correct steps and final answer. The area of the room is 196 square feet, so each side is sqrt(196) = 14. The perimeter is 14*4 = 56 feet. You'll need 6 boards (each 10 ft long) to get 60 ft total. You'll have 60-56 = 4 ft of board left over. This is assuming that there isn't any other type of waste or mistakes made in cutting.

Nice work on getting the correct steps and final answer.

8 0

3 years ago