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olchik [2.2K]
3 years ago
10

Please help asap ill give brainliest

Mathematics
1 answer:
natita [175]3 years ago
7 0
The formula is 1/2 x P x L + B
P=perimeter
L=Side length
B= Slanted Base length

ANSWER= 8 mi
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Riley is packing 144 pencils, 120 files, and 108 notebooks into as many boxes as possible. Find the greatest number of boxes tha
Vaselesa [24]

Answer:

<em>Greatest number of boxes to pack all items into them equally will be 12 where each box contain 10,12,9 files, notebooks and pencils respectively.</em>

Step-by-step explanation:

To find the greatest number of boxes that Riley could pack the items into, we have to find the HCF of 144, 120 and 108.

We will find the HCF through prime factorization.

<em>("Prime Factorization" is finding which prime numbers multiply together to make the original number)</em>

<u>Step 1:</u>

Find the prime factorization of each of the given numbers.

<u>Step 2:</u>

The product of all common prime factors is the HCF of the given numbers.

First number is 120:

120 = 2*2*2*3*5

Second number is 144:

144 = 2*2*2*2*3*3

And last number is 108:

108 = 2*2*3*3*3

Now we will match the numbers which are common in all three values. In other words we will find the common factors.

<em>The common factors in 120,108 and 144 are:</em>

<em>2*2*3</em>

If we multiply 2*2*3 we get 12

Hence, HCF of ( 120,108,144 ) = 12

<em>Therefore, Greatest number of boxes to pack all items into them equally will be 12 where each box contain 10,12,9 files, notebooks and pencils respectively.</em>

5 0
3 years ago
A point X is 34m due east of a point Y.The bearing of a flagpole from X and Y are N18W and N40E respectively calculate the dista
neonofarm [45]

Answer:

The answer is "38.130".

Step-by-step explanation:

Given:

Points (Y, X) \\\\F (flagpole)\  make\  a \ triangle

Draw Y and X triangles on the underside, and F above them.

Because F is  18^{\circ}  west from X, so FXY angle measurement FXY = 72^{\circ} from X  because F is located 40^{\circ}  east of north from Y, then

     measure of angle FYX = 50^{\circ}

 the measure of angle YFX = 58^{\circ} (3 \angle \ of\  triangle = 180^{\circ})

Using Law of Sines: \frac{\sine 58^{\circ}}{34} = \frac{\sine 72^{\circ}}{YF}  

 Cross Multiply:  

YF (\sin 58^{\circ}) = 34(\sin 72^{\circ})\\\\

YF = \frac{34 \sin 72^{\circ}}{\sin 58^{\circ}}\\\\                                     YF = \frac{34(.951)}{(.848)}\\\\                                     YF = 38.130

4 0
3 years ago
value of the digit in the hundredths place and the value of the digit in the tens place and 440. What is the relationship betwee
MissTica
Its worth 40 cause its in the tenths place
6 0
4 years ago
Which of the functions have a range of all real numbers? Check all that apply. A. y = sec x B. y = csc x C. y = tan x D. y = cot
Nastasia [14]

Answer:

Option C and D that is y= tan x and y= cot x

Step-by-step explanation:

The range is the values of y means the values that y can take in a function:

So, range of tan x and cot x are all real numbers.

Period of  tan x is \pi

Period of cot x is \pi

Option A and B that is secx and csc x are discarded  

4 0
4 years ago
Read 2 more answers
What is the area? 15 points for you ^-^
ioda
In a 3D shape, area is called volume. The volume of a pyramid is lwh/3.
Plugging in your values, you get an answer of 304.
7 0
3 years ago
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