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Licemer1 [7]
3 years ago
10

It takes Planet Folger 24 hours to complete a full rotation. It takes Planet Keurig approximately 58 days, 15 hours, and 30 minu

tes to complete a full rotation.
How many hours does it take Keurig to complete a full rotation? Show your work using the correct conversion
factors
Mathematics
1 answer:
valkas [14]3 years ago
5 0
Aday=24 hours
58days=24 times 58=1392 hours

60min=1hr
30min=1/2hr=0.5hr


total is
1392+15+0.5=
1407.5hours
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HELP PLEASE <br> solve the right triangle
aleksandrvk [35]

Answer:

Part 1) FG=4.4\ units

Part 2) EF=3.9\ units

Part 3) m\angle G=63^o

Step-by-step explanation:

step 1

Find the measure of length side FG

In the right triangle EFG

we know that

sin(27^o)=\frac{GE}{FG} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(27^o)=\frac{2}{FG}

FG=\frac{2}{sin(27^o)}=4.4\ units

step 2

Find the measure of length side EF

In the right triangle EFG

we know that

cos(27^o)=\frac{EF}{FG} ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

cos(27^o)=\frac{EF}{4.4}

EF=cos(27^o)(4.4)=3.9\ units

step 3

Find the measure of angle G

we know that

m\angle G+27^o=90^o ---> by complementary angles in a right triangle

m\angle G=90^o-27^o=63^o

7 0
3 years ago
Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in
lutik1710 [3]

Answer:  12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}

i.e.  \dfrac{1}{t}=\dfrac{6-5}{12}

i.e.  \dfrac{1}{t}=\dfrac{1}{12}

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

8 0
3 years ago
Rob is cooking a cake.The recipe calls for 9 cups of flour.He has already put in 3 cups. How many more cups does he need to put
svetoff [14.1K]

Answer:

9-3= 6 Cups

Step-by-step explanation:

Recipe needs 9 cups of flour, Rob has added 3 cups already so he needs to add 6 more cups to make it 9 cups.

7 0
2 years ago
The volume of this prism is 4375cm3.<br> The area of the cross-section is 125cm2.<br> Work out x
fomenos

Answer:

x is 35 cm

Step-by-step explanation:

To find the value of x, we will divide the volume by the cross-section

Mathematically, that will be;

4375/125 = 35 cm

5 0
2 years ago
a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is
Mademuasel [1]

Answer:

Step-by-step explanation:

Take 20( cosine of 75 degrees)

the answer is 5 ft

8 0
3 years ago
Read 2 more answers
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