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4 years ago

Find the slope of the line containing the points(-5,6) and (0,-2)

Mathematics

2 answers:

Elan Coil [88]4 years ago

3 0

Y1-Y2
———
X1-X2

6- -2
-5-0

8/-5

ohaa [14]4 years ago

3 0

Answer: slope = -1.6

Step-by-step explanation:

Slope (m) = change in y/change in x

Slope = y2-y1/x2 - x1

Step 1: locate the coordinates points from (-5,6) and (0,-2)

x1= -5, x2 = 0

y1= 6, y2= -2

Slot the values into the formula

Slope = (-2) - 6/ 0 - (-5)

-8/5 then, divide

Slope = -1.6

I hope this helps

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The minute hand of a clock is 1.4 centimeters long. How far does the tip of the minute hand travel in 40 minutes? (Round your an

ozzi

Answer:

2.93cm

Step-by-step explanation:

I have to admit, this stumped me but I got o work and here's what I have for you. Hope this helps. TIP: remember it is the minute hand not any other hand.

For this one you will have to find the circumference of the clock because as the min hand goes round and round, it will act as a radius and it will go in a circular motion.

Formula will be π2r= 3.l4 * 2 * 1.4cm=8.792cm per every one revolution of the minute hand. Remembering that for the minute hand to revolve round the clock it has to cover 1 hr = 60min. For you to get the total circumference,

you'll have to take 8.792cm but since it is per every one revolution of the minute hand, multiply it by 40/60min. The answer will be 2.93066cm before rounding off. After rounding off you will have 2.93cm. Quite lengthy but I assure you after practicing you'll have at your fingertips.

3 0

3 years ago

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0degrees°C at the fr

Sergio039 [100]

Answer:

Step-by-step explanation:

Hello!

The variable of study is X: Temperature measured by a thermometer (ºC)

This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC

To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:

P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04

First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.

z= -1.75

Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X

z= (X-μ)/σ

z*σ = X-μ

(z*σ)+μ = X

X= (-1.75-0)/1= -1.75ºC

The value that separates the bottom 4% is -1.75ºC

I hope this helps!

5 0

3 years ago

In triangle $DEF,$ $\angle D = 30^\circ,$ $\angle F = 60^\circ,$ and $EF = 6.$ Find $DE + DF.$ [asy] unitsize(2 cm); pair D, E,

lesya692 [45]

Answer:

The answer is below

Step-by-step explanation:

In triangle DEF, ∠D = 30°, ∠F = 60° and EF = 6. Find DE + DF.

Solution:

A triangle is a polygon with three sides. There are different types of triangles such as isosceles triangle, scalene triangle equilateral triangle, right angled triangle.

In triangle DEF:

∠D + ∠E + ∠F = 180° (sum of angles in a triangle)

30 + ∠E + 60 = 180

∠E + 90 = 180

∠E = 180 - 90

∠E = 90°

This is a right angled triangle since one angle = 90° (∠E).

Using sine rule:

$\frac{|EF|}{sin(D)}=\frac{|DE|}{sin(F)} \\\\\frac{6}{sin(30)}=\frac{|DE|}{sin(60)} \\\\|DE|=10.39\\\\\frac{|EF|}{sin(D)}=\frac{|DF|}{sin(E)} \\\\\frac{6}{sin(30)}=\frac{|DF|}{sin(90)} \\\\|DF|=12\\\\$

Hence DE + DF = 12 + 10.39 = 22.39

6 0

3 years ago

209,767 rounded to the nearest hundred thousand

GaryK [48]

209,767 rounded to the nearest hundred thousand (Or nearest 100,000) is 200,000.

6 0

3 years ago

Read 2 more answers

Ratio equal to 90:18

Vadim26 [7]

90:18

divide using 3 on both sides

90:18

30:6

10:2

now lets use 2

10:2

5:1

5:1 is the equal ratio to 90:18

6 0

4 years ago