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Degger [83]
3 years ago
12

If the number of different activities is represented by four consecutive odd integers, what is the algebraic expression that rep

resents the total number of activities they have to choose from in one day?
Mathematics
1 answer:
dexar [7]3 years ago
6 0
=4x+12
Apply the distributive property
Arrange like terms
Simplify
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Basile [38]
I’m not sure I understand the question. The equations you posted are equivalent. To take x - y = 2 to x = y + 2, you add y to both sides of the equation.

I’m happy to answer more if you let me know in the comments.
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Question 20 not yet answered marked out of 1.00 not flaggedflag question question text luna created a trash can in the shape of
Alex Ar [27]

Consider the triangle with sides a=1.6, b=2.3 and c=1.2 feet. You can use cosine theorem twice to find two unknown angles:

1.

b^2=a^2+c^2-2ac\cos \angle B,\\ (2.3)^2=(1.6)^2+(1.2)^2-2\cdot 1.6\cdot 1.2\cos \angle B,\\ 5.29=2.56+1.44-3.84\cos \angle B,\\ 3.84\cos \angle B=4-5.29=-1.29,\\\cos \angle B=-\dfrac{1.29}{3.84} =-0.336

Then you can conclude that ∠B is obtuse (because \cos \angle B) and m∠B=110°.

2.

c^2=a^2+b^2-2ab\cos \angle C,\\ (1.2)^2=(1.6)^2+(2.3)^2-2\cdot 1.6\cdot 2.3\cos \angle C,\\ 1.44=2.56+5.29-7.36\cos \angle C,\\ 7.36\cos \angle C=7.85-1.44=6.41,\\\cos \angle C=\dfrac{6.41}{7.36} =0.871.

Then you can conclude that ∠C is acute (because \cos \angle C>0) and m∠C=29°.

3. m∠A+m∠B+m∠C=180°, then m∠A=180°-110°-29°=41°.

Answer: m∠A=41° (∠A is opposite to the side a=1.6), m∠B=110° (∠B is opposite to the side b=2.3) and m∠C=29° (∠C is opposite to the side c=1.2)

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Each day at lunchtime, at least 53 people buy food from a food truck.
natulia [17]

Answer:

p≥53

Step-by-step explanation:

the amount of people, assuming the variable p is representing is at least 53 that go to the food truck, so p≥53 means that p is greater than or equal to (≥) 53

7 0
3 years ago
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Find the circumference of the circle to the nearest tenth. Use 3.14 for π. It is Zeny’s birthday. Teddy wants to buy a round cak
Alona [7]
<h3>Answer:   69.1 cm</h3>

Work Shown:

C = 2*pi*r

C = 2*3.14*11

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This is the approximate distance around the circle, aka the perimeter.

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3 years ago
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