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Elan Coil [88]
2 years ago
12

How far does a sailboat travel on a 3.5 cruise it is avenge spent is 18.6 mph?

Mathematics
1 answer:
Lerok [7]2 years ago
8 0
The answer is d, 65.1. 18.6•3.5=65.1
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Write one digit on each side of 23 to make a four digit multiple of 72. How many different solutions does this problem have?
user100 [1]

Answer:

This problem has two possible solutions.

2232

7236

Step-by-step explanation:

To be divisible by 72, a number has:

To be divisible by both 8 and 9 at the same time.

It is divisible by 8 if it's last two digits are divisible by 4.

It is divisible by 9 it the sum of it's digits is a number divisible by 9.

a23b

3b must be divisible by 4. In the thirties, the numbers that are divisible by 4 are 32 and 36. So b = 2 or b = 6.

a232

2 + 3 + 2 = 7

The higest possible value of a is 9 and the lowest is 1.

Between 8 and 16, only 9 is divisible by 9. So a = 2.

a = 2, b = 2 is one of the solutions.

a236

2 + 3 + 6 = 11

The higest possible value of a is 9 and the lowest is 1.

Between 12 and 20, only 18 is divisible by 9. So we need a = 7

5 0
3 years ago
X ( x + 4 ) − 3 = 4 ( x + 19.5 )
Studentka2010 [4]

Answer:

9

Step-by-step explanation:

7 0
2 years ago
Find side lengths C and H
Nuetrik [128]

Answer:

\displaystyle c=\frac{2\sqrt{3}}{3}\\\\\displaystyle h=7\sqrt{2}\\

Step-by-step explanation:

<u>Right Triangles</u>

A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.

Let's consider the triangle to the left.  We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.

We'll use the adjacent angle, and

\displaystyle tan60^o=\frac{2}{c}

Solving for c

\displaystyle c=\frac{2}{tan60^o}=\frac{2}{\sqrt{3}}

Rationalizing

\displaystyle c=\frac{2}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}

Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that

\displaystyle sin45^o=\frac{7}{h}

Solving for h

\displaystyle h=\frac{7}{sin45^o}=\frac{7}{\frac{\sqrt{2}}{2}}=\frac{14}{\sqrt{2}}

Rationalizing

\displaystyle h=\frac{14}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{14\sqrt{2}}{2}=7\sqrt{2}

3 0
3 years ago
-19x-1=-12x+34 pls help me !!!!!
Alex_Xolod [135]
I know this is not the answer but how do you add a question
8 0
3 years ago
Read 2 more answers
The price of a computer after discounts was $1200. If the discount was 20%, what was the original sales price?
zmey [24]

$1500!

20% off of $1500 would be $300. $1500 - $300 = $1200. Therefore the original sales price was $1500!

7 0
3 years ago
Read 2 more answers
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