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4 years ago

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In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the

following: c m∠A +m∠B = 110° Quickly, I will award brainliest if given in 5 minutes

1 answer:

GREYUIT [131]4 years ago

7 0

I’m doing this too hopefully someone answers quick cause I’m confused also.

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On a citrus farm, the average annual yield of oranges is 124 pounds per tree when the number of trees is 22 per acre. For each a

ELEN [110]

Answer:

Number of orange trees = 3528

Step-by-step explanation:

Given: Average annual orange yield = 124 pounds (lbs) per tree

Number of trees = 22 per acre

Each tree produces 124 pounds, so 22 trees will produce

124*22 = 2728 lbs per acre

For every additional tree over 22, 2 pounds per tree is lost.

So, if you add x trees, you lose 2x pounds.

Thus, we have the function:

f(x) = (124 - 2x)*(22 + x) for the added tree(s)

$f(x) = 2728 + 80x - 2x^{2}$

For quadratic equations like this, the maximum(or minimum) is obtained by substituting x= -b/2a into the given equation. a and b are obtained from the general form of a quadratic equation:

$y =ax^{2} + bx + c$

Comparing this with f(x), we have that

a = -2 (coefficient of x2)

b = 80 (coefficient of x)

Using these values in x = -b/2a, we get

$x = -\frac{80}{2*(-2)} = 20$

So, use x = 20 in the maximum function we got earlier

$f(x) = 2728 + 80(20) -2(20^{2}) = 2728 + 1600 - 800\\ \\f(x) = 3528$

Therefore, the number of oranges that should be planted in order to maximize the number of pounds of oranges per acre = 3528

3 0

3 years ago

Point C ∈ AB and AB = 33 cm. Point C is 2 times farther from point B than point C is from point A. Find AC and CB.

forsale [732]

Answer:

AC = 11 cm , CB = 22 cm

Step-by-step explanation:

let AC = x then BC = 2x , then

AC + BC = 33, that is

x + 2x = 33

3x = 33 ( divide both sides by 3 )

x = 11

Thus

AC = x = 11 cm and CB = 2x = 2 × 11 = 22 cm

5 0

3 years ago

Which quadratic function opens up?<br> Y= -x^2+ 3<br> Y= -(x + 3)^2<br> Y= -3x^2<br> Y= x^2- 3

Rashid [163]

Answer:

y = x^2 - 3

Step-by-step explanation:

<u>Quadratic function in general form:</u>

y = ax^2 + bx + c

The graph opens up if a>0, opens down if a < 0

<u>The function that opens up is:</u>

y = x^2 - 3

3 0

4 years ago

Vanessa earns a base salary of $400 every week with an additional 5% commission on everything she sells. Vanessa sold $1850 wort

lys-0071 [83]

Answer:

$492.50

Step-by-step explanation:

To start off, we already know that Vanessa makes at least $400 every week. What we don't know is how much Vanessa makes from her 5% commission on what she sells.

To solve for that, we need to find what 5% of $1,850 is. This can be done by multiplying $1,850 by 5%. Remember, we need to change 5% into its decimal form (5% -> $\frac{5}{100}$ -> 0.05).

$1,850 x 0.05 = $92.5

This means that Vanessa made $92.5 off of commissions last week. The last step is to add her base salary of $400 to her commission sales and we get our final answer.

$400 + $92.5 = $492.50

Vanessa's total pay last week was $492.50

6 0

3 years ago

John read the first 1 1 4 114114 pages of a novel, which was 3 33 pages less than 1 3 3 1 ? start fraction, 1, divided by, 3, en

damaskus [11]

We are given statement " John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel".

Let us assume total number of pages of a novel = p pages.

3 less than 1/3 of total pages = 114.

3 less then 1/3 of P is = 114.

$\frac{1}{3}P- 3 = 114$

<h3>Therefore, required equation for number of pages of a novel is </h3><h3> $\frac{1}{3}P- 3 = 114$ .</h3>

8 0

3 years ago