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Nimfa-mama [501]
3 years ago
14

Please help me with this question ASAP NOTE: please explain your reasoning

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

Answer:

I Believe The Answer Would Be 35

Step-by-step explanation:

You See If You Split The Rectangle Into Three Rectangles You Can Split Them Up And Multiply The Length And Width

adell [148]3 years ago
7 0

Answer:

35in^2

Step-by-step explanation:

You essentially have 3 rectangles.

Starting from the top

2*5 = 10

Middle

This is the only tricky one. You have the top with a total lenght of 5 and the middle rectangle is recessed from the 5 inch 2 inch. that leaves you 3 inches plus the 3 off to the side. in total 5 inches

3*5 = 15

Bottom

2*5 = 10

Add them all togehter

10+15+10

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For each question (a–e) below, choose one of the answers (i–viii); explain your choice.
Natasha2012 [34]

Answer:

Step-by-step explanation:

given that a deck of cards is shuffled.

we know in a deck there are 52 cards, 13 cards of each variety spade, clubs hearts and dice.  Red are 26 and black are 26.  kings, will be 4.

(a) the top card is the king of spades and the bottom card is the queen of spades?

(iii) 1/52 × 1/52

Top has 1/52 and bottom has 1/52 and these are independent.

(b) the top card is the king of spades and the bottom card is the king of spades?

(viii) None of the above

Because it is impossible.

(c) the top card is the king of spades or the bottom card is the king of spades?

(iv) 1/52 + 1/52

This is the sum of probabilities because there is no common event for these two.

(d) the top card is the king of spades or the bottom card is the queen of spades?

(ii) 1/52 + 1/51 (once king of spades is there, then probability is 1/51 for bottom card)

(e) of the top and bottom cards, one is the king of spades and the other is the queen of spades?

(vii) 2/52 × 1/51

Because this is twice of probability d.

5 0
3 years ago
Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

--------------------------------------------------------------------------------------------------

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

5 0
3 years ago
Using addition formula solve tan 15​
salantis [7]

Answer:

2 - \sqrt{3}

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = \frac{tanA-tanB}{1+tanAtanB} and the exact values

tan45° = 1 , tan60° = \sqrt{3} , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= \frac{tan60-tan45}{1+tan60tan45}

= \frac{\sqrt{3}-1 }{1+\sqrt{3} }

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + \sqrt{3} is 1 - \sqrt{3}

= \frac{(\sqrt{3}-1)(1-\sqrt{3})  }{(1+\sqrt{3})(1-\sqrt{3})  } ← expand numerator/denominator using FOIL

= \frac{\sqrt{3}-3-1+\sqrt{3}  }{1-3}

= \frac{-4+2\sqrt{3} }{-2}

= \frac{-4}{-2} + \frac{2\sqrt{3} }{-2}

= 2 - \sqrt{3}

3 0
3 years ago
Each class at Briarwood elementary collected at least 54 cans of food during the food drive. If there are 29 classes in the scho
kirill115 [55]
1566 cans with all cans combined
5 0
3 years ago
Read 2 more answers
a sample of unknown liquid has a volume of 12.0ml and a mass off 6g, what is its density? and how did you do the problem?
maw [93]

Answer:


Step-by-step explanation:

The equation for solving for density is:

Density = mass / volume

Then plug in the values:

Density = 6 g / 12 mL

Divide and don't forget the units!

Density = 0.5 g/mL


5 0
3 years ago
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