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3 years ago

Can someone please help me with question 9

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

There are 24 oranges and 36 apples.

Each basket has to have the same number of fruit

So lets say that each basket will have exactly one orange and apple.

To get the maximum number of baskets, we have to use either all of the apples or all of the oranges.

You can't have 36 baskets, because you only have 24 oranges, even though there are enough apples.

But you can 24 baskets, because there are enough apples and oranges.

So you can use all of the oranges to make 24 baskets (and you'll be left with 12 apples)

Answer: F. 24.

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Which of the following is the area of a quadrilateral with vertices at (-4,2),(1,2),(1,-3) and (-4,-3)

kow [346]

Answer:

The correct option is B.

Step-by-step explanation:

The given vertices are (-4,2),(1,2),(1,-3) and (-4,-3).

Plot these point on a coordinate plate. From the graph it is noticed that the given quadrilateral is a square.

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Use distance formula to find the side length.

$AB=\sqrt{(1-(-4))^2+(2-2)^2}=\sqrt{5^2}=5$

$BC=\sqrt{(1-1)^2+(-3-2)^2}=\sqrt{(25}=5$

Since both consecutive sides are equal therefore it is a square.

Area of a square is

$A=a^2$

Where, a is side length.

The side length of the square is 5. So, area of ABCD is

$A=(5)^2$

$A=25$

Therefore the area of quadrilateral is 25 units square. Option B is correct.

3 0

3 years ago

What is the answer to this question? (The one in the middle)

Delicious77 [7]

Let f=number of field goals and a=number of points after.
a+f=38
a+3f=70
.
a+3f=70

a+ f=38
-------subtract
2f=32
.
f=16 field goals he kicked last season.

4 0

4 years ago

How to solve p^2-4p-32/p+4

FrozenT [24]

This expression can only be combined.

Add p^2 and −32/p to get (p^2p−1⋅32)/p.
−4p+p^2 p−1⋅32/p+4

Multiply −1 by 32 to get −32.
−4p+p^2 p−32/p+4

Find the common denominator.
−4pp/p+p^2 p−32/p+4p/p

Combine into one fraction.
−4pp+p^2 p−32+4p/p

Simplify the numerator.
−4p^2+p^3−32+4p/p

Simplify the expression.

p^3−4p^2+4p−32/p

8 0

3 years ago

Read 2 more answers

Guys I need your help, help me with this question please

mario62 [17]

Answer:

actually I am sorry I dont rly know but I need some points

Step-by-step explanation:

7 0

3 years ago

The equation models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretc

Nady [450]

This is the missing equation that models the hieght and is misssing in the question:

h= 7cos(π/3 t)


Answers:

a. Solve the equation for t.


1) Start: h= 7cos(π/3 t)


2) Divide by 7: (h/7) = cos(π/3 t)


3) Inverse function: arc cos (h/7) = π/3 t

4) t = 3 arccos(h/7) / π ← answer of part (a)

 b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth.

1) h = 1 cm ⇒ t = 3 arccos(1/7) / π

t = 1.36 s← answer

2) h = 3 cm ⇒ t = 3arccos (3/7) / π = 1.08s← answer

3) h = 5 cm ⇒ 3arccos (5/7) / π = 0.74 s← answer

 c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time.

Use the periodicity property of the function.

The periodicity of cos(π/3 t) is 6.


So, the second times are:


1) h = 1 cm, t = 6 + 0.45 s = 6.45 s ← answer


2) h = 3 cm ⇒ 6 + 1.08 s = 7.08 s← answer

3) h = 5 cm ⇒ t = 6 + 0.74 s = 6.74 s ← answer

5 0

3 years ago