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balandron [24]
3 years ago
7

A leaky pool loses 2 1/4 inches of water each day. Jermaine and Mildred are asked to determine the change in the amount of water

in the pool over 5 days.
Mildred’s Solution
5 (-2 1/4)
5(-2- 1/4)
-10-5/4
-11 1/4
Mathematics
2 answers:
likoan [24]3 years ago
5 0
The answer would be the top one, since 2.25 inches of water are lost over 5 days.
vaieri [72.5K]3 years ago
3 0

Answer: 5(-2 1/4)

Step-by-step explanation: When somethig is being taken away, it's represented as a negative number. The number needs to be displayed throug 5 days, so A would be correct. To check, a negative times a postive is a negative, and 5 times -2 1/4 is -11 1/4.

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An angle, theta, is in standard position and its terminal side passes through the point (2,-1). Find the EXACT value of sin thet
Olenka [21]

Answer:

sinѲ = -1/√5 or -√5/5

Step-by-step explanation:

On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.

On the Cartesian plane we also have x, y where:

x = r cosѲ .......Equation 1

and y = r sinѲ ........Equation 2

r = √x² + y²

In the question we are given points (2,-1)

Where x = 2 , y = -1

We would solve for r by substituting 2 for x and -1 for y

r = √ 2² + -1²

r = √ 4 + 1

r = √5

In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2

y = r sinѲ

Where y = -1 and r = √5

-1 = √5 sinѲ

Divide both sides by √5

sinѲ = -1/√5

We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5

sinѲ = -√5/5

Therefore, sinѲ = -1/√5 of -√5/5

6 0
3 years ago
I really need to understand the question, I went on OS and I couldn't understand there please help me I am stuck
adelina 88 [10]
Hello,

See file jointed

4 0
3 years ago
I would enjoy a brief explanation for each one thank you!☺️
Ghella [55]

Step-by-step explanation:

1. 4 3/4=19/4

53/2=13/2

the total change of square will be. 19/4 + 13/2= 19+26/4=45/4

2. total change is 0.7+0.4=1.1

3.-7 1/6= -43/6

3 5/6= 23/6

-43/6 + 23/6 =-20/6 = -10/3

4. metals=2.625(m)

paper=5.58(p)

glass= x

total = 9.5(t)

m + p + x = t

2.625 + 5.58 + x =9.5

8.205 + x = 9.5

x = 9.5 - 8.205

x = 1.295

Hope That Helped

6 0
3 years ago
Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 39 cm.
vesna_86 [32]

Answer

given,

work = 5 J

spring stretch form 30 cm to 39 cm

W = \dfrac{1}{2}kx^2

x = 0.39 - 0.30 = 0.09 m

5 = \dfrac{1}{2}k\times 0.09^2

k = \dfrac{5\times 2}{0.09^2}

k = 1234.568 N/m

a) work when spring is stretched from  32 cm to 34 cm

x₂= 0.34 -0.30 = 0.04 m

x₁ = 0.32 - 0.30 = 0.02

W = \dfrac{1}{2}k(x_2^2-x_1^2)^2

W = \dfrac{1}{2}\times 1234.568 \times (0.04^2-0.02^2)^2

W = 0.741 J

b) F = k x

  25 = 1234.568 × x

     x = 0.0205 m

     x = 2.05 cm

3 0
4 years ago
I think of a number , double it , then add fifteen
Olegator [25]

Answer:

2n + 15

Step-by-step explanation:

This question is sort of confusing, but I will assume you want the sentence written as an expression.

We can represent any number as "n".

Doubling the number is the same as multiplying by 2:

2n + 15

Thusly, this sentence can be written as \boxed{2n + 15}.

Hope this helps! ((:

5 0
3 years ago
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