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Basile [38]
3 years ago
13

Grant can pick 9 tomatoes in 12 minutes. How many tomatoes can grant pick in one hour?

Mathematics
1 answer:
blagie [28]3 years ago
3 0

Answer:

45 tomatoes

Step-by-step explanation:

1 hour = 60 minutes

60 ÷ 12 = 5

you can get 9 tomatoes every 12 minutes, 5 times in one hour

9 × 5 = 45

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Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C o
Brrunno [24]

Answer:

AB = \sqrt{a^2 + b^2-2abCos\ C}

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

Sin\ C = \frac{h}{a}

Make h the subject:

h = aSin\ C

Also, in BOC (Using Pythagoras)

a^2 = h^2 + x^2

Make x^2 the subject

x^2 = a^2 - h^2

Substitute aSin\ C for h

x^2 = a^2 - h^2 becomes

x^2 = a^2 - (aSin\ C)^2

x^2 = a^2 - a^2Sin^2\ C

Factorize

x^2 = a^2 (1 - Sin^2\ C)

In trigonometry:

Cos^2C = 1-Sin^2C

So, we have that:

x^2 = a^2 Cos^2\ C

Take square roots of both sides

x= aCos\ C

In triangle BOA, applying Pythagoras theorem, we have that:

AB^2 = h^2 + (b-x)^2

Open bracket

AB^2 = h^2 + b^2-2bx+x^2

Substitute x= aCos\ C and h = aSin\ C in AB^2 = h^2 + b^2-2bx+x^2

AB^2 = h^2 + b^2-2bx+x^2

AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2

Open Bracket

AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C

Reorder

AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C

Factorize:

AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C

In trigonometry:

Sin^2C + Cos^2 = 1

So, we have that:

AB^2 = a^2 * 1 + b^2-2abCos\ C

AB^2 = a^2 + b^2-2abCos\ C

Take square roots of both sides

AB = \sqrt{a^2 + b^2-2abCos\ C}

6 0
3 years ago
35 more than twice the value of e is 65
almond37 [142]


here is what I think since 2 multiplied by 15 equals 30 you at 35 more to that 30 and you get the answer 60. Is that how it is supposed to go?


5 0
3 years ago
What’s this <br> hdhshxbbsncjdkckskxbsh
7nadin3 [17]

Answer:

i dunno what that means but i think maybe your keyboard broke so the type of letters is random??

5 0
3 years ago
What is the equation of the line that passes through the point (-4,-2) and has a<br> slope of -1/2?
Soloha48 [4]

Answer:

y =  -  \frac{1}{2} x

8 0
3 years ago
15 POINTS!!!! HELPP PLEASEE QUICK I NEED IT NOWW PLSS I POSTED THIS SO MANY TIMES PLSSS NO LINKS NO BOT OR ANSWERS JUST TO GET P
Ira Lisetskai [31]

Answer:

Pretty sure its A and B

Step-by-step explanation:

Slope is -6/5, so that leaves just A B and E

Plugged it in, only A and B were correct

8 0
3 years ago
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