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slavikrds [6]
3 years ago
13

Two mountain bikers take off from the same place at the same time. One travels north at 4 mph, and the other travels east at 3 m

ph. How far apart are they after 4 hours?
A. 14 miles
B. 20 miles
C. 28 miles
D. 5 miles
Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

Answer:

20 miles (Answer B)

Step-by-step explanation:

The northbound biker travels (4 mph)(4 hr) = 16 mi, and

the eastbound biker travels (3 mph)(4 hr) = 12 mi.

They travel at right angles to one another.  Thus, the Pythagorean Theorem applies here.  The distance between the two bikers is d = √( [12 mi]^2 + [16 mi]^2 ), or √(144 + 256) mi, or √400 mi, which works out to 20 miles.

Answer B is correct.


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A family uses 12,986. 64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars
lukranit [14]

Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.

<h3>What is Units conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,

\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs

Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.

Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,

\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200

Hence, the amount that is paid by the family in mortgage per month is equal to $1200.

Learn more about Units conversion:

brainly.com/question/4736731

8 0
3 years ago
The equation, y = 76(1.013)x, represents the the population of the United States, after 1900, in millions. The population in 190
Pani-rosa [81]
I assume that the equation is supposedly written as, y = (76)(1.013^x). This means that the population of the United States increases by 1.3% every year. If we substitute 0 to the value of x,
                                    y = 76(1.013^0) = 76(1) = 76
I assume that the unit for  y in the equation is million. Therefore, the answer is letter B. 76 million. 
4 0
3 years ago
How can you find 50% of any number? Select all that apply.
Art [367]

Answer:

multiply it by 0.5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Here are two squares A and B. The length of the side A is 50% of the length of the side square B. Express the area of the shaded
Darya [45]

Answer:

12.5%

Step-by-step Explanation:

==>Given:

Square A side length = 50% Square B side length

Area of Square A that is shaded = ½ of the area of Square B

==>Required:

Area of shaded region of Square A as a % of Area of Square B

==>Solution:

Let "b" be the side length of Square B

Let "a" be the side length of Square A

Since we are told that the side length of Square A (a) = 50% of side length of Square B (b), thus we have,

a = ½b

==>Let's find the area of Square A and Square B:

Area of a square = s², where s = side length

Area of Square A = (½b)² = b²/4

Area of Square B = b²

==>Let's find the area of the shaded region of the Square A = ½ of area of Square A.

Thus,

Area of shaded region of Square A = ½*(b²/4) = b²/8

==>Let's express the area of the shaded portion of square A as a percentage of are of Square B:

Thus, Area of shaded portion of Square A ÷ Area of Square B × 100%

= \frac{\frac{b^{2} }{8}  }{b^{2} } * 100

= \frac{b^{2} }{8} * \frac{1}{b^{2} } * 100

= \frac{b^{2}*1 }{8*b^{2} } * 100

= \frac{b^{2} }{8*b^{2} } * 100

= \frac{1}{8} * 100 = 12.5

The area of the shaded region of Square A is 12.5% of the area of Square B.

8 0
3 years ago
Graph the line for y+1=−3/5(x−4) on the coordinate plane
Andrej [43]
Solve for y:
y + 1 = -3/5x + 2.4  (multiply 4 by 3/5 no negatives because negative times a negative is a positive)
y = -3/5x + 1.4
Now graph the y-intercept of 1.4. 
Then plot points using slope. 
Hope this helps and let me know if you have more questions!
7 0
4 years ago
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