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PSYCHO15rus [73]
3 years ago
6

The length of a city block running north to south in NYC is about 5 times 10 to the negative second power miles. The distance fr

om NYC to Mumbai, India is about 7.5 times 10 to the third power miles. The distance from NYC to Mumbai is about how many times the length of a NYC north- south block?
Mathematics
1 answer:
NemiM [27]3 years ago
7 0
So nyc=5 times 10^-2 miles

NYC-Mumbai=7.5 times 10^3

so
5 times 10^-2 times x=7.5 times 10^3
divide both sdies by 5 times 10^-2
x=(7.5 times 10^3)/(5 times 10^-2)
when dividing scientific notation you do this
x=(7.5 times 10^3)/(5 times 10^-2)=(7.5/5) times ((10^3)/(10^-2))
to divide exponents just subtract top from bottom
3-(-2)=5
answer is
x=1.5 times 10^5

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Find the length of chord QS <br><br> 1)5<br> 2)33<br> 3)21<br> 4)32
Harrizon [31]

Answer:

Length of Chord QS = 33

Step-by-step explanation:

<u>Length of Chord QS</u>:

QW X WS = PW = WR

12(4x + 1) = 14(3x + 3)

48x + 12 = 42x + 42

48x - 42x = 42 - 12

6x = 30

x = \frac{30}{6} = 5

∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33

The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.  Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D.  This theorem states that A×B is always equal to C×D no matter where the chords are.

8 0
3 years ago
What is the sum of the rational expressions below?<br> x/5+2/3x
Naya [18.7K]

Answer:

B

Step-by-step explanation:

x/5 + 2/3x

first you multiply both denominator.

this will be you denominator unless you can simplify it.

denominator=5 x 3X = 15X

now you times both denominator with the opposite numerator.

e.g. 5 x 2 and X x 3X.

=10 and 3X^2

now you and both numerators which is 3X^2 + 10

so the answer is b

7 0
3 years ago
Read 2 more answers
A triangle has vertices A(1, 1), B(2, 4), and C(4, 2). Line p is parallel to side AB and contains point C.
kenny6666 [7]

Answer:

p:y = 3x-10

Step-by-step explanation:

We are given the following in the question:

A(1, 1), B(2, 4), C(4, 2)

i) Slope of AB

A(1, 1), B(2, 4)\\\\m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{4-1}{2-1}=3

Thus, slope of AB is 3.

ii) Point slope form

The point slope form of a line can be written as:

y - y_1 = m(x - x_1)

The point intercept form of line can be written as:

y = mx + c

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB

Putting values, we get,

y - 2 = 3(x-4)\\y = 3x-12+2\\y = 3x-10

which is the required slope intercept equation of line p.

4 0
3 years ago
Find the slope of the line passing through the points (-5,1) and (2,4).
Leno4ka [110]

Answer:

<h3>\boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{3}{7} }}}}}</h3>

Step-by-step explanation:

Let the points be A and B

A ( -5 , 1 ) ⇒( x₁ , y₁ )

B ( 2 , 4 )⇒( x₂ , y₂ )

<u>Findi</u><u>n</u><u>g</u><u> </u><u>the </u><u>slope</u><u> </u><u>of </u><u>the </u><u>line </u><u>passing </u><u>through</u><u> </u><u>these </u><u>Points</u>

Slope = \sf{ \frac{y2 - y1}{x2 - x1} }

plug the values

⇒\sf{ \frac{4 - 1}{2 - ( - 5)} }

We know that \sf{( - ) \times ( - ) = ( + )}

⇒\sf{ \frac{4 - 1}{2 + 5} }

Subtract 1 from 4

⇒\sf{ \frac{3}{2 + 5} }

Add the numbers

⇒\sf{ \frac{3}{7} }

Hope I helped!

Best regards!!

7 0
2 years ago
Find the value of x round to the nearest tenth
gayaneshka [121]
Tan inverse 3/5 is 30.96
so the answer is x = 31.0
3 0
2 years ago
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