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Slav-nsk [51]
2 years ago
3

What is 1 pound and 10 ounces written as a decimal?

Mathematics
1 answer:
Ksju [112]2 years ago
8 0
1 pound and 10 ounces as decimal.

24 ounces = 1 pound

1 ounce = 1/24 pound

10 ounces = 10*1/24 = 10/24 ≈ 0.4167

1 pound and 10 ounces = 1 pound + 0.4167 pound = 1.4167 pounds
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Based on Pythagorean identities, which equation is true? sine squared theta minus 1 = cosine squared theta secant squared theta
Naddik [55]

Answer:

Cot^2\theta-Csc^2\theta=-1

Step-by-step explanation:

The only Pythagorean identities are:

1. \ Sin^2\theta+Cos^2\theta=1

2. \ 1+Tan^2\theta=Sec^2\theta

3. \ 1+Cot^2\theta=Csc^2\theta

4. \ Sin^2\theta=1-Cos^2\theta\\  \ \ Cos^2\theta=1-Sin^2\theta

 

Therefore,Cot^2\theta-Csc^2\theta=-1 is correct as it's one of the pythagorean identities.

4 0
2 years ago
Read 2 more answers
Jane invested £4000 for 3 years with an interest rate of 1.5%. What was her investment worth at the end of this period?
ddd [48]

Answer:

$4182.7

Step-by-step explanation:= 4000*(1.5%)*3

Year 1= 4000*(100%+1.5%)= 4060

Year 2= 4060*(100%+1.5%)= 4120.9

Year 3= 4120.9*(100%+1.5%)= 4182.7

6 0
2 years ago
Read 2 more answers
A group of friends go to the movies. The function h(x) represents the amount of money spent where x is the number of friends at
viktelen [127]

Answer:

  not really

Step-by-step explanation:

The number of friends (x) is expected to be an integer. 6.5 friends does not really make sense.

_____

There are all kinds of ways this might make sense, but none of them are supported by the information given in the problem statement.

8 0
2 years ago
Read 2 more answers
Shanelle already has $137 from babysitting. She needs at least $625 for a new tablet. Which inequality best represents this scen
kap26 [50]

Answer:

t + 137 ≥ 625

Step-by-step explanation:

Shanelle already have in her possession the sum of $137 from babysitting.  She requires at least $625 for a new tablet. t is the remaining amount she needs to get the new tablet.

She already has $137 and to get the tablet she needs at least $625 . This means she needs nothing less than or equal to $625 to get the tablet.  Recall t is the remaining amount needed to add to what she has to be able to reach the least amount required to purchase a tablet. Therefore , the sum of t and the amount of money already in her possession should be equal to or greater than $625.

To get the new tablet,

t + 137 ≥ 625

5 0
2 years ago
Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she s
faltersainse [42]
<h2>Answer</h2>

She will be scoring above 85 after her 7 assessment.

<h2>Explanation</h2>

We can model this situation using a line equation.

We know that on her first assessment, Rita scored 58 points, so our first point is (1, 58)

We also know that on her second assessment, Rita scored 63 points, so our second point is (2, 63)

To find the rate, which is the slope of our line, we are using the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

where

(x_{1},y_{1}) are the coordinates of the first point

(x_{2},y_{2}) are the coordinates of the second point

From our points we can infer that x_{1}=1, y_{1}=58, x_{2}=2, y_{2}=63. Let's replace the values in our slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{63-58}{2-1}

m=\frac{5}{1}

m=5

Now we know that Rita's score is increasing 5 points every assessment.

To complete the equation of our line, we are using the point slope formula:

y-y_{1}=m(x-x_{1})

y-58=5(x-1)

y-58=5x-5

y=5x+53

Finally, we just need to replace y with 85 in our line equation and solve for x to find after which assessment she will score above 85:

85=5x+53

32=5x

x=\frac{32}{5}

x=6.4

Since we can't have 0.4 assessment, she will be scoring above 85 after her 7 assessment.  


3 0
2 years ago
Read 2 more answers
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