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WINSTONCH [101]
2 years ago
7

A boat travels at constant speed. After 20 minutes the boat had traveled 2.5 miles. How long does it take the boat to reach the

bridge which is 15 miles away?
Mathematics
1 answer:
schepotkina [342]2 years ago
7 0

120 minutes

Step by step:

divide 20 by 2.5 to find how many minutes it takes to drive 1 mile, then multiply that by 15 miles

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If cos(t) = 2/7 and t is in the 4th quadrant, find sin(t).
Yuliya22 [10]
We can use the Pythagorean Trigonometric Identity which says:
sin^2(t)+cos^2(t)=1

Since we need to find sin(t), we have to solve for it:
sin(t)= \sqrt{1-cos^2(t)}

Let's plug in the given cos(t) value:
sin(t) = \sqrt{1-cos^2( \frac{2}{7})}

And solve sin(t):
sin(t) = \sqrt{1- \frac{4}{49} } = \frac{x}{y} \sqrt{ \frac{49}{49}- \frac{4}{49} }

Simplify further:
sin(t) = \sqrt{ \frac{45}{49} } = \frac{ \sqrt{45} }{7} = \frac{ \sqrt{9*5} }{7}

And it all simplifies down to:
sin(t) = \frac{3 \sqrt{5} }{7}

Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is: 
sin(t) = - \frac{ 3\sqrt{5} }{7}

Hope this helps!
7 0
2 years ago
Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFractio
Butoxors [25]

Answer:

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

Step-by-step explanation:

18/5=x/100

Cross product

18*100=5*x

1800=5x

x=1800/5

x=360

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

6 0
2 years ago
Read 2 more answers
$1.12 for 8.2 ounces? Unit Rate
Reil [10]
That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)

First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659
4 0
2 years ago
In the xy plane, a quadrilateral has vertices at (-1, 4), (7,4), (7,5), and (-1. 5). What is the perimeter of the quadrilateral?
iris [78.8K]

Answer:

(B) 18.

Step-by-step explanation:

We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).

First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.

We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.

\text{Perimeter of quadrilateral}=8+1+8+1

\text{Perimeter of quadrilateral}=16+2

\text{Perimeter of quadrilateral}=18

Therefore, the perimeter of the given quadrilateral is 18 units.

8 0
2 years ago
There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit.
nalin [4]

Answer:

= 0.1893939

Step-by-step explanation:

We have given that there are 5,280 feet in a mile.

Number of feet in a mile = 5,280

Now we will convert feet into miles.

To convert 1000 feet into mile we will multiply  it by 1/5280

1000 feet = 1000 * 1/5280

1000/5280

= 0.1893939

Therefore the answer is = 0.1893939....

4 0
2 years ago
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