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3 years ago

12

In a lab, a substance was heated by 48 Degrees Celsius over a period of 8 hours at a constant rate. what was the change in tempe

rature each hour?

1 answer:

galben [10]3 years ago

4 0

Answer: The change in temperature each hour was 6 degrees celsius.

Step-by-step explanation: 48 divided by 8 = 6

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In Circle P, m EA=58, m BC=42, m CD=90, find:

elena55 [62]

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

m∠EDA = <u>90°</u>
m∠BDC = <u>21°</u>
m∠BEC = <u>21°</u>
$m\widehat{AB}$ =<u> 80°</u>
m∠AEB = <u>40°</u>
m∠ECA = <u>29°</u>
m∠BAC = <u> 21°</u>
<u /> $m\widehat{ED}$ = <u>90°</u>
m∠ECD = <u>45°</u>
m∠ACB = <u>40°</u>
m∠EBD = <u>45°</u>
m∠ADB = <u>40°</u>
m∠CAD = <u>45°</u>
m∠EAB = <u>90°</u>
m∠EBC = <u>90°</u>

<u />

Reasons:

$\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC$ Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴ m∠EDA = 0.5 × 180° = <u>90°</u>

2. $m\widehat{BC}$ = 42°, therefore, m∠BPC = 42°

$\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC$

m∠BDC = 0.5 × 42° =<u> 21°</u>

3. m∠BEC = m∠BDC = <u>21°</u>

4. $m\widehat{AB}$ = 180° - (58° + 42°) =<u> 80°</u>

5. $\mathbf{m\widehat{AB}}$ = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = <u>40°</u>

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × $m\widehat{EA}$

m∠ECA = 0.5 × 58° = 29°

m∠ECA = <u>29°</u>

7. m∠BAC = 0.5 × $\mathbf{m\widehat{BC}}$

m∠BAC = 0.5 × 42° = 21°

m∠BAC = <u> 21°</u>

8. $m\widehat{ED}$ = 180° - $\mathbf{m\widehat{CD}}$

$m\widehat{ED}$ = 180° - 90° = 90°

$\mathbf{m\widehat{ED}}$ = <u>90°</u>

9. m∠ECD = 0.5 × $\mathbf{m\widehat{ED}}$

m∠ECD = 0.5 × 90° = <u>45°</u>

10. m∠ACB = 0.5 × $m\widehat{AB}$

m∠ACB = 0.5 × 80° = <u>40°</u>

11. m∠EBD = 0.5 × $\mathbf{m\widehat{ED}}$

m∠EBD = 0.5 × 90° = <u>45°</u>

12. m∠ADB = 0.5 × $\mathbf{m\widehat{AB}}$

m∠ADB = 0.5 × 80° = <u>40°</u>

13. m∠CAD = 0.5 × $\mathbf{m\widehat{CD}}$

m∠CAD = 0.5 × 90° = <u>45°</u>

14. m∠EAB = 0.5 × $\mathbf{m\widehat{EABC}}$

m∠EAB = 0.5 × 180° = <u>90°</u>

15. m∠EBC = 0.5 × $\mathbf{m\widehat{EABC}}$

m∠EBC = 0.5 × 180° = <u>90°</u>

<u />

<u />

Learn more about circle theorems here:

brainly.com/question/25101481

3 0

3 years ago

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

Viefleur [7K]

Answer:

sigma should be used

Step-by-step explanation:

Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.

The above given is for sample of 27 size.

For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.

But once population std deviation is given, we use only that as that would be more reliable.

So here we can use population std deviation 1.4 only.

If population std deviation is used we can use normality and do Z test

4 0

3 years ago

Cuantos años hay 5823 días

jonny [76]

Answer:

16 anos

Step-by-step explanation:

6 0

3 years ago

A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons

Mashutka [201]

One gallon per every 16 minute. 8g - 5g = 3g
48 minutes ÷ 3gallons = 16 minute per reduced gallon.

7 0

4 years ago

Is -1 a ZERO of the function f(x)=x^3-x^2-17x-15?

MaRussiya [10]

yeah it is.............

4 0

4 years ago