What do you have to know about any segments and angles in a figure to decide whether the figure has line symmetry?

Answers

Answer 1

Answer:

Explained below.

Step-by-step explanation:

When drawing line of symmetry on a figure and reflecting, we have to know that pairs of segments in that figure must have the same length while pairs of angles must have the same measurement. This is to ensure that half of that figure must concise with the other half part of it when that figure is folded across a line of symmetry.

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If apple=5, orange=6 and strawberry=10 then banana=?

Answers

Answer:

Step-by-step explanation:

The number corresponds with how many letters there are in a word. In this case, banana has 6 letters.

Answer:

The answer is 6

Step-by-step explanation:

They are counting the nuber of letters in the word apple has 5, orange has 6, and strawberry has 10. Banana has 6 B-A-N-A-N-A.

Find the surface area and volume of a rectangular solid with length 10, width 7, height 12surface area______square inches
volume_____cubic inches

Answers

Answer:

Surface area is =548

Volume = 840 in³

Step-by-step explanation:

l × w, l × w, w × h, w × h, l × h, l × h

70 + 70 + 84 + 84 + 120 + 120 = 548

l × w × h = 840

On Monday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times thenumber of hamburgers sold. How many hamburgers were sold on Monday?

Answers

Answer:

136 hamburgers

Step-by-step explanation:

Create an equation where x is the number of hamburgers sold.

The number of cheeseburgers sold can be represented by 3x, since it was 3 times the number of hamburgers.

3x + x = 544

Solve for x:

4x = 544

x = 136

So, 136 hamburgers were sold on Monday

Plz help thank you thank you

Answers

Answer:

b is the answer I believe

Answer:

Only one that goes over once and up twice

A garden shop determines the demand function q = D(x) = 5x + 200 / 30x + 11 during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant.(a) Find the elasticity.
(b) Find the elasticity when x = 2.
(c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease?

Answers

Answer: a) $E(x)=(-5945)/((30x+11)(5x+200))$ , b) 0.7975, demand is inelastic, c) increase.

Step-by-step explanation:

Since we have given that

$D(x)=(5x+200)/(30+11)$

So, derivative w.r.t x would be

$D'(x)=(5(30x+11)-30(5x+200))/((30x+11)^2)\n\nD'(x)=(150x+55-150x-6000)/((30x+11)^2)\n\nD'(x)=(5945)/((30x+11)^2)$

As we know that

$E(x)=(-xD'(x))/(D(x))\n\n\nE(x)=((-(-)5945x)/((30x+11)^2))/((5x+200)/(30x+11))\n\n\nE(x)=(5945x)/((30x+11)(5x+200))$

(b) Find the elasticity when x = 2.

So, we put x = 2, we get that

$E(2)=(5945* 2)/((30(2)+11)((5(2)+200)))\n\nE(2)=(11890)/((60+11)(10+200))\n\nE(2)=(11890)/(71* 210)\n\nE(2)=(11890)/(14910)\n\nE(2)=0.7975$

Since, 0.7975 < 1, so the demand is inelastic.

The total revenue will also increase with increase in price.

As total revenue = $price* quantity$

Hence, a) $E(x)=(-5945)/((30x+11)(5x+200))$ , b) 0.7975, demand is inelastic, c) increase.

Final answer:

This problem involves the calculation of the elasticity of a demand function using the derivative of the function. The elasticity is then used to analyze the effect on the total revenue when the price changes. The elasticity at a specific point is calculated and used for further analysis.

Explanation:

For part (a), to find the elasticity of the demand function, we need to use the formula for the price elasticity of demand, which is E = (dQ/dX) * (X/Q). Here, dQ/dX is the derivative of the demand function concerning X. This needs to be calculated first. The value of E provides us with the measure of elasticity.

For part (b), when x = 2 we substitute this value into the formula for E to get the elasticity at x = 2.

For part (c), based on the concept of elasticity, if E > 1, the demand is said to be elastic and a price decrease will result in an increase in total revenue, and vice versa. If E < 1, the demand is said to be inelastic and a price decrease will result in a decrease in total revenue, and vice versa. So, after calculating E at x = 2, we can use it to determine the effect on total revenue.

Learn more about Elasticity of Demand here:

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In January 2010, Diana invested $4,500 in an account that paid interest compounded annually. the table showstopper balance of the account at different times. what was Diana's balance, in dollars and cents, in January 2014. the numbers on the table are, For the month Jan. 2011-$4,635.00Jan. 2012-$4,774.05
Jan. 2013-$4,917.27

Answers

Final answer:

The question is related to compound interest. Diana's account balance in 2014 cannot be precisely calculated with the provided information, but based on the increasing balance trend, it would be larger than the 2013 balance of $4,917.27.

Explanation:

The subject of this question is compound interest, which is used in Mathematics. When Diana invested $4,500 in an account in 2010, the balance in the account increased each year due to the interest being compounded, or added to the principal amount. For example, by January 2011, the balance had grown to $4,635.00. The balance continued to grow each subsequent year.

To find Diana's balance in 2014, we would typically need to apply the formula for compound interest. However, in this case, the question only provides the balances for the years up to 2013. If a similar growth pattern continued, we could expect that the balance in 2014 would be larger than the $4,917.27 balance of 2013. Without a specific interest rate or an exact balance for 2014, we cannot precisely calculate the 2014 balance.

Learn more about Compound Interest here:

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Answer:

500,000

Step-by-step explanation:

80-1

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Letter b on number 11 is all I need help with. Thank you

A particle moving along a line has position s(t) = t^4 − 20t^2 m at time t seconds. Determine: (a)- At which times does the particle pass through the origin? (b)- At which times is the particle instantaneously motionless.