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2 years ago

2. Tonya runs 8 kilometers in 60 minutes. At this rate, how long would it take her to run 2 kilometers?

Mathematics

1 answer:

sleet_krkn [62]2 years ago

5 0

Answer:

15 minutes

Step-by-step explanation:

60/4=15 8/4=2

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Find the value of x. Round to the nearest degree.<br> A. 69<br> B. 21<br> C. 20<br> D. 70

andre [41]

Sin(angle) = Opposite / hypotenuse

Sin(x) = 5/14

X = arcsin(5/14)

x = 20.9

X = 21 degrees.

The answer is B.

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2 years ago

Prove the following statement using a proof by contraposition. Yr EQ,s ER, if s is irrational, then r + 1 is irrational.

sp2606 [1]

Answer:

I think that what you are trying to show is: If $s$ is irrational and $r$ is rational, then $r+s$ is rational. If so, a proof can be as follows:

Step-by-step explanation:

Suppose that $r+s$ is a rational number. Then $r$ and $r+s$ can be written as follows

$r=\frac{p_{1}}{q_{1}}, \,p_{1}\in \mathbb{Z}, q_{1}\in \mathbb{Z}, q_{1}\neq 0$

$r+s=\frac{p_{2}}{q_{2}}, \,p_{2}\in \mathbb{Z}, q_{2}\in \mathbb{Z}, q_{2}\neq 0$

Hence we have that

$r+s=\frac{p_{1}}{q_{1}}+s=\frac{p_{2}}{q_{2}}$

Then

$s=\frac{p_{2}}{q_{2}}-\frac{p_{1}}{q_{1}}=\frac{p_{2}q_{1}-p_{1}q_{2}}{q_{1}q_{2}}\in \mathbb{Q}$

This is a contradiction because we assumed that $s$ is an irrational number.

Then $r+s$ must be an irrational number.

3 0

2 years ago

A landscaper planted one group of 30 trees and nine different city parks how many trees did he plant

soldier1979 [14.2K]

I would say 270 because : 30 times 9 is 270.

7 0

2 years ago

(-5, 4), (8,-6) help me please.. I don't know anything about geometry

Tom [10]

Answer:

Distance= 16.4 units

Midpoint= (1½, -1)

Step-by-step explanation:

$\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }$

Distance between (-5, 4) and (8, -6)

$= \sqrt{ {( - 5 - 8)}^{2} + {[4 - ( - 6)]}^{2} }$

$= \sqrt{ {( - 13)}^{2} + (4 + 6) {}^{2} }$

$= \sqrt{169 + 10^{2} }$

$= \sqrt{169 + 100}$

$= \sqrt{269}$

= 16.4 units (3 s.f.)

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}$

Midpoint

$= ( \frac{8 - 5}{2} , \frac{ - 6 + 4}{2} )$

$= ( \frac{3}{2} , \frac{ - 2}{2} )$

$= ( 1\frac{1}{2} , - 1)$

5 0

2 years ago

Divide 103.2 tonnes in the ratio 5:3

sesenic [268]

Answer:

$\frac{64.5}{38.7}: \frac{5}{3}$

Step-by-step explanation:

5 : 3

5 + 3 = 8

103.2 ÷ 8

12.9

12.9 × 3

38.7

12.9 × 5

64.5

7 0

2 years ago

2. Tonya runs 8 kilometers in 60 minutes. At this rate, how long would it take her to run 2 kilometers?​

2. Tonya runs 8 kilometers in 60 minutes. At this rate, how long would it take her to run 2 kilometers?