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tester [92]
3 years ago
12

Could someone help i’ll mark brainliest! please explain too

Mathematics
1 answer:
-BARSIC- [3]3 years ago
3 0

Answer:

C. 8

Step-by-step explanation:

I almost thought this was going to be Pythagorean Theorem, but no.

Use Cosine Law:

cos θ =  \frac{10^2 + 21^2 - 17^2}{2(10)(21)}

θ = cos−1(0.6)

θ = 53.130...

Now use the SOHCAHTOA ratio for sine (\frac{opposite}{hypotenuse}) to find x now that you have one angle:

sin θ = \frac{x}{10}

x = 10sinθ (θ isn't needed to be written out as it is shown in the equation above)

x = 8

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The correct answer is$5.50 for 5

Step-by-step explanation:

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If you are subtracting (2n - 4)-(4n-3) what do you get
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6 0
3 years ago
HURRY PLEASE
Sauron [17]

Answer:

gallons of punch in all  = 4.5 gallons

Step-by-step explanation:

Morgan poured 3/4 gallons of punch into each of 6 bottles . This means Morgan poured 3/4 gallons of punch in each of the available 6 bottle .

He pours 3/4 gallons of punch in 1 bottle . For 6 bottles the gallons of punch poured is calculated below

1 bottle = 3/4 gallons of punch

6 bottles = ? gallons of punch

cross multiply

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5 0
3 years ago
The area of a rectangle is 72cm square. Length,/, of the rectangle is 6 cm longer than the width w
Butoxors [25]
As you haven't specifically stated what exactly the question is, I will be assuming that the question is most likely asking for what the dimensions ( length and width ) of the rectangle is. With this in mind, I will be answering the question so here I go...


STEP-BY-STEP SOLUTION:

Let's solve this problem step-by-step.

Let's first establish the formula for the area of a rectangle as displayed below:

Area = Length × Width

A = lw

From this, we will establish the values for each of the parts in the area formula using the information given in the problem as displayed below:

A = 72cm^2

l = w + 6

w = w

Now, we will substitute these values into the area formula and then make ( w ) the subject as displayed below:

A = lw

72 = ( w + 6 ) ( w )

72 = w ( w + 6 )

72 = w^2 + 6w

0 = w^2 + 6w - 72

0 = w^2 + 12w - 6w - 72

0 = w ( w + 12 ) - 6 ( w + 12 )

0 = ( w + 12 ) ( w - 6 )


w + 12 = 0

w = 0 - 12

w = - 12


w - 6 = 0

w = 0 + 6

w = 6

As the answer must be positive as measurements are always positive, the answer must be the option which is a positive number.

Therefore:

w = 6

Using the equation we made for the length before, we can substitute the value of ( w ) to obtain the value of the length as displayed below:

l = w + 6

l = ( 6 ) + 6

l = 12


FINAL ANSWER:

The dimensions of the rectangle are:

Length = 12cm

Width = 6cm


Please mark as brainliest if this was helpful! : )
Thank you <3
7 0
4 years ago
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