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snow_lady [41]
3 years ago
10

Alyssa fed her dog 2/3 cup of dog food in the morning and another 5/8 cup in the evening. How much did her dog eat over the cour

se of the day? Write your answer as a mixed number​
Mathematics
2 answers:
kotegsom [21]3 years ago
8 0
1 7/24 is the correct answer I will show you how to get it if needed.
inysia [295]3 years ago
5 0

Answer:

1  7/24

Step-by-step explanation:

2/3 x 8/8= 16/24

5/8 x 3/3= 15/24

31/24 = 1 7/24

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A cone-shaped paper drinking cup is to be made to hold 36 cm3 of water. find the height and radius of the cup that will use the
NemiM [27]

The formula for volume of cone is:

V = π r^2 h / 3

or

π r^2 h / 3 = 36 cm^3

Simplfying in terms of r:

r^2 = 108 / π h

To find for the smallest amount of paper that can create this cone, we call for the formula for the surface area of cone:

S = π r sqrt (h^2 + r^2)

S = π sqrt(108 / π h) * sqrt(h^2 + 108 / π h) 

S = π sqrt(108 / π h) * sqrt[(π h^3 + 108) / π h] 

Surface area = sqrt (108) * sqrt[(π h + 108 / h^2)] 

<span>Getting the 1st derivative dS / dh then equating to 0 to get the maxima value:</span>

dS/dh = sqrt (108) ((π – 216 / h^3) * [(π h + 108/h^2)^-1/2] 

Let dS/dh = 0 so,

 π – 216 / h^3 = 0 

h^3 = 216 / π

h = 4.10 cm

Calculating for r:

r^2 = 108 / π (4.10)

r = 2.90 cm

 

Answers:

 h = 4.10 cm

<span>r = 2.90 cm</span>

4 0
3 years ago
Read 2 more answers
A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of
Tatiana [17]

Answer:

The angle of elevation to the top of the building is 63.61 degrees

Step-by-step explanation:

Here, we want to calculate angle of elevation to the top of the building.

For this, we need a triangle

Please check for this in the attachment.

From the diagram, we are to calculate the angle theta.

To do this, we use trigonometric identities.

Looking at what we have, we have the hypotenuse and the adjacent.

So the trigonometric identity to use is the cosine

Mathematically Cosine theta = adjacent/hypotenuse

Thus, Cos theta = 20/45

Cos theta = 0.444444444444444

Theta = Arc cos(0.444444444444444)

Theta = 63.61 degrees

8 0
3 years ago
nine more than twice a number is less than negative fifteen. solve the inequality for the unknown number.
pentagon [3]

Answer: x<-12

Step-by-step explanation:

let x= the number

2x+9<-15

    2x<-24

      x<-12

Hope this helps!! :)

You may ask any further questions

6 0
3 years ago
132°<br> 125°<br> 141°<br> 140°<br> 145°<br> r<br> 120°<br> 113°<br> Find the value of R
Charra [1.4K]

Answer:

130*

Step-by-step explanation:

3 0
2 years ago
Solve for x.<br><br> x2 + 9x = 0<br> a 0, -9<br> b 0, 9<br> c 1, -9<br> d 1, 9
alekssr [168]
<span>x2 + 9x = 0
x(x+9) = 0
x=0
x+9 = 0; x = -9

answer is </span><span>a 0, -9</span>
5 0
3 years ago
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