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2 years ago

Complete the angle addition postulate for the following angle

Mathematics

1 answer:

aev [14]2 years ago

5 0

Answer: AOB

This is because angle AOB on top adds with BOC down below to get the largest angle AOC. See the diagram below.

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In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?

AveGali [126]

Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units

7 0

2 years ago

If P dollars are invested today at an annual interest rater compounded once a year, then the value of the account A after 2 year

Molodets [167]

9514 1404 393

Answer:

about 7.61%

Step-by-step explanation:

Put the given numbers into the formula and solve for r.

2200 = 1900(1 +r)^2

√(22/19) = 1 +r

r = √(22/19) -1 ≈ 0.076055 ≈ 7.61%

3 0

2 years ago

61 divided by 3427?

katrin2010 [14]

61 / 3427= 0.01779982. (rounds up to 0.02 if rounded by hundredths)

8 0

2 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

2 years ago

Could someone please help me with this problem and possibly explain if you can? (Will give up brainiest answer if correct, if po

Andrej [43]

To find the answer you need to find the square root of e^2 to get e so what you do to one side of the equation you do to the other side of the equation so find the square root of 0.36.
e=positive or negative 0.6

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3 years ago