What is the supplementary angle of 30 degrees?

Find an equation of a line through (2, 1) and perpendicular to −2x + 4y = 8

MAVERICK [17]

Hello:<span>
the equation is : y = ax+b
the slope is a : a×(1/2) = -1......( perpendicular to a line with a slope of 1/2) because : -2x+4y =8...y=(1/2)x+2 ) </span>

<span>
a = -2 y=(-2x+b
the line that passes through (2,1) :1 = -2(2)+b
b =5
<span> the equation is : y = -2x+5</span></span>

4 0

3 years ago

Convert 1 cal/(m^2 * sec * °C) into BTU/(ft^2 * hr * °F)

Crazy boy [7]

Answer:

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Step-by-step explanation:

To find : Convert $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}$ into $\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Solution :

We convert units one by one,

$1\text{ m}^2=10.7639\text{ ft}^2$

$1\text{ sec}=\frac{1}{3600}\text{ hour}$

$1\text{ cal}=0.003968\text{ BTU}$

Converting temperature unit,

$^\circ C\times \frac{9}{5}+32=^\circ F$

$1^\circ C\times \frac{9}{5}+32=33.8^\circ F$

So, $1^\circ C=33.8^\circ F$

Substitute all the values in the unit conversion,

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{10.7639\times \frac{1}{3600}\times 33.8}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{0.101061}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Therefore, The conversion of unit is $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

3 0

3 years ago

What is 100(0.99988) rounded to the nearest tenth

Deffense [45]

Multiply first then round

3 0

3 years ago

Find the measure of AEB<br><br> - already have answer just need the work

Digiron [165]

Based on the central angle theorem, the measure of angle AEB is: 140°.

<h3>What is the Central Angle Theorem?</h3>

According to the central angle theorem, the measure of an intercepted arc = measure of the central angle.

Arc AB = 140° [intercepted arc]

Angle AEB is the central angle.

Thus, based on the central angle theorem, the measure of angle AEB is: 140°.

Learn more about the central angle theorem on:

brainly.com/question/5436956

#SPJ1

7 0

2 years ago

Imagine that the average weight of a total of 500 girls in a high school is 35kg. Tom randomly sampled 10 girls and measured the

Naddik [55]

Answer:

The sample 2 has a lowest value of SE corresponding to the least sample variability.

Step-by-step explanation:

As the value of the sample means and standard deviations are not given, as similar question is found online from which the values of data is follows

The data is as attached with the solution. From this data

Sample 1 has a mean of 34 and a SE of 5

Sample 2 has a mean of 30 and a SE of 2

Sample 3 has a mean of 26 and a SE of 3

Sample 4 has a mean of 38 and a SE of 5

As per the measure of the sample variability is linked with the value of SE or standard error. Which is lowest in the case of sample 2 .

So the sample 2 has a lowest value of SE corresponding to the least sample variability.

4 0

4 years ago