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Ahat [919]
3 years ago
11

The sum of four consecutive numbers is 230. What is the largest of these numbers

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:

n + n+1 + n+2 + n+3 = 230

4n = 224

n = 56 and largest number = 59


Step-by-step explanation:


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2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

4 0
3 years ago
How to solve 3+p=8 step by step
AURORKA [14]
3+p=8
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5 0
3 years ago
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How can i find the value of x
alukav5142 [94]

Your equation is correct.


x+3x+26+34=180\\\\4x+60=180\ \ \ |-60\\\\4x=120\ \ \ |:4\\\\\boxed{x=30}

6 0
3 years ago
Simplify:2 1/3(4 1/4÷2)
kondor19780726 [428]

Answer:

4\frac{23}{24}

Step-by-step explanation:

We want to simplify:

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We convert to improper fraction to get:

\frac{7}{3}(\frac{17}{4}\div 2)

We now deal with the parenthesis by multiplying with the reciprocal of 2.

\frac{7}{3}(\frac{17}{4}\times \frac{1}{2} )

This gives:

\frac{7}{3}(\frac{17}{8})

We multiply to get:

\frac{7}{3}(\frac{17}{8})

This simplfies to:

\frac{119}{24}

We write as mixed number

4\frac{23}{24}

4 0
3 years ago
is recommended that a ramp have least feet of horizontal distance for every 1 foot of horizontal rise along an incline. The ramp
lesya [120]

Answer: no

Step-by-step explanation:

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3 years ago
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