The correct option is B which is 15 g.
Given to us:
the heat [tex]Q= 350\ Joules[/tex],
the specific heat [tex]c= 1.2\ J/g\ ^o C[/tex],
the lower temperature [tex]t_1= 10^o C[/tex],
the higher temperature [tex]t_2= 30^o C[/tex],
Formula for specific heat:
[tex]Q=mc(\Delta T)[/tex]
where,
[tex]m[/tex] is the mass,
[tex](\Delta T)[/tex] is the temperature difference,
Putting in the values;
[tex]350=m\times 1.2\times (30-10)\\\\m= \dfrac{350}{1.2\times (30-10)} \\\\m=14.5833 grams[/tex]
Hence, the mass is 14.5833 grams. therefore, the correct option is B which is 15 g.
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In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP MU HUHU
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 = 90°m∠BDC = 21°m∠BEC = 21°[tex]m\widehat{AB}[/tex] = 80°m∠AEB = 40°m∠ECA = 29°m∠BAC = 21°[tex]m\widehat{ED}[/tex] = 90°m∠ECD = 45°m∠ACB = 40°m∠EBD = 45°m∠ADB = 40°m∠CAD = 45°m∠EAB = 90°m∠EBC = 90°Reasons:
[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.
m∠EPC = 180°
∴ m∠EDA = 0.5 × 180° = 90°
2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°
[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]
m∠BDC = 0.5 × 42° = 21°
3. m∠BEC = m∠BDC = 21°
4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°
5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition
m∠AEB = 0.5 × m∠APB
m∠AEB = 0.5 × 80° = 40°
6. m∠ECA = 0.5 × m∠AE
Therefore;
m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]
m∠ECA = 0.5 × 58° = 29°
m∠ECA = 29°
7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]
m∠BAC = 0.5 × 42° = 21°
m∠BAC = 21°
8. [tex]m\widehat{ED}[/tex] = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]
[tex]m\widehat{ED}[/tex] = 180° - 90° = 90°
[tex]\mathbf{m\widehat{ED}}[/tex] = 90°
9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]
m∠ECD = 0.5 × 90° = 45°
10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]
m∠ACB = 0.5 × 80° = 40°
11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]
m∠EBD = 0.5 × 90° = 45°
12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]
m∠ADB = 0.5 × 80° = 40°
13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]
m∠CAD = 0.5 × 90° = 45°
14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]
m∠EAB = 0.5 × 180° = 90°
15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]
m∠EBC = 0.5 × 180° = 90°
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Please help. 0=25x^2 + 80x + 68
Does 12/15 and 14/17 form a proportion?
Answer:
yes they form a proportion
PLEASE HELP!!!
Which of the following are equations for the line shown below? Check all that
apply.
(5,1)
5
5
(-5,-3)
5
A. y + 3 = 0.4(x + 5)
B. Y-1 = 0.4(x - 5)
C. y - 3 = 0.4(x - 5)
Y5-06
1)
Answer:
The answer is A and B
Step-by-step explanation:
y-y=m(x-x)
y-(-3)=m(x-(-5))
y+3=0.4(x+5)
y-y=m(x-x)
y-1=0.4(x-5)
In a right isosceles triangle, the length of both legs are equal. For the given isosceles triangle, what is the value of X
Answer:
x=6
Step-by-step explanation
So, the formula for this is the Pythagorean Theorum which is a^2 +b^2=c^2.
If the longest side is the square root of 72, then it is the hypotenuse, or c. Now the equation looks like this. a^2 + b^2 = square root of 72.
Since we know that a and b are the same, and that they equal the square root of 72, just divide 72 by two for the square root of 36. Just find the square root of 36 now, which is 6. :) Hope this helps!
If you were to pour marbles into a cup of water, you would make a __________.
A. heterogeneous
B. homogeneous
Answer:
heterogeneous is the answer
Help me pleaseeee with this
Can someone help me with this question
Answer:
$2.40
Step-by-step explanation:
Answer:
48 mph
Step-by-step explanation:
Since you get fined $12 for each mile per hour over and she was fined $96, we can set an equation to find how many miles per hour she was over:
12*x=96
x=8 mph over the speed limit
Since the speed limit is 40, then she was going 40+8=48mph
Solve the Math problem
Answer:
1. Becky, 2. No one, 3. Brian and Carol, 4. Tom, 5. Jake
Step-by-step explanation:
The order has to be Brian, Tom, Jake, Becky, and Carol.
1. Becky
2. No one
3. Brian and Carol
4. Tom
5. Jake
The expression 3.5d + 5 represents the number of miles Erin ran last week when she ran 5 miles on sunday and 3.5 miles each day after Sunday. The expression 2.5d+ 3 represents the number of miles Luis ran last week when he ran 3 miles on Sunday and 2.5 each day after Sunday what expression can be used to determine the total amount erin and Luis ran last week
Answer: 14 miles
Step-by-step explanation: 3.5d+5+2.5d+3
Graph the line with the equation y = 2x - 2
Answer:
y-intercept is -2 slope is up 2 right 1(2/1)
Step-by-step explanation:
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
the number of the students of a school was 640 last year and it is 800 by how many percent is the number increased
Answer:
The number of students would have increased by 25%.
Step-by-step explanation:
Answer:
25% more
Step-by-step explanation:
640 100
800 x
---------------
cross-multiplication = 100*800 = 80000/640 = 125
A teacher orders school supplies by the pound.
A flat fee of
$
15.25
plus
$
3.45
per pound of supplies ordered is added to the bill to cover the shipping cost.
The teacher budgets
$
49.75
for the shipping cost.
Which list of values best represents the entire domain for shipping,
f
(
x
)
, as a function of the number of whole pounds of school supplies the teacher can order,
x
?
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
}
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 }
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
}
{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
,
13
,
14
}
{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 }
Answer: 10
Step-by-step explanation:
I did the math, also not to be rude but stop using so many 'enter' commands
Hamid has gained weight.
he now weighs 88kg, this is 10% more than his normal weight.
what is hamids normal weight?
Answer:
174.6
Step-by-step explanation:
88 kg = 194.007 - 10%
194 * 10% = 194 - 19.4 = 174.6
(Uhm....This is a question out of maths) How many floors are 78 steps
1. A roll of wire holds 3 meters of wire.
About how many inches of wire does
the roll hold ?
Answer:
Step-by-step explanation:
1 meter = 39.3701, by definition.
3 meters = 3*(39.3701)
3 meters of wire = 118 inches
Answer:
3 meters ≈ 118 inches
Step-by-step explanation:
1 meter = 3.28084 feet
1 foot = 12 inches
3 · 3.28084 = 9.84252
9.84252 · 12 = 118.11024
Which value of x makes the equation 2(x-9)-2x=-3(3+7) true?
Answer:
No solution
Step-by-step explanation:
(1-sin^2x) (1+tan^2x)=1
[tex]1 - sin {}^{2} x \times 1 + \tan( { }^{2} ) x = 1[/tex]
Prove that :
Please help i need the right one
[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]
L.H.S
[tex]\tt cos^2x \times sec^2x[/tex]
[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]
[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]
[tex]\tt 1[/tex]
R.H.S
Hence proved
Step-by-step explanation:
[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]
• Remember → 1 + tan²x = sec²x
[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]
• But sec²x → 1/cos²x
[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]
• Remember from the first identity of trignometry;
[ cos²x + sin²x = 1 ].
• Therefore: [ cos²x = 1 - sin²x ]
[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]
Hence proved.
A restaurant is considering reducing its meal sizes, because it noticed many of its customers cannot finish their meals. The manager decided to weigh the left-over portion of the meals before putting them in to-go containers. The line plot displays the weights of the left-over portions of the meals. If the left-over portions are divided equally among the customers, how much food would each customer take home? Weight of Left-over Meals A. B. C. D.
Answer:
1/2
Step-by-step explanation:
You need to add all the fractions up to get 1/2 is what food the costumers brought home
Answer:
1/2
Step-by-step explanation:
i got it correct!!
what is the volume of this prism
Answer: 44?
I think. I am not sure
what is 44÷33= please for answer
Step-by-step explanation:
44 ÷ 33
= 1.333333333..........
Hope it's helpful.
calculate average or arthmetic mean
Answer:
mean/average is calculated by adding all of the values and dividing by the number of values
ur welcome queen besitie slay
1) The graph below represents the function y = f(x). State the domain and range of this
function in interval notation.
which statement about tuition is the most accurate?
Answer:
C. Public colleges are cheaper for in-state residents.
Step-by-step explanation:
On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1). The second triangle has points A prime (2, negative 2), B prime (2, negative 4), C prime (6, negative 4).
(PLS HELP FAST FOR 20 points) one step equation 18 + x = -9
Answer:
-27
Step-by-step explanation:
18 + x = -9
subtract by 18 on both sides
x = -27
You can check this by...
18 - 27 = -9
I hope this helps!!
this is your answer hope it's helpful for you
60 minutes is 20% of minutes?
Answer:
300
Step-by-step explanation:
Let the value that we are trying to find be x.
If 60 is 20% of x, then we have the following equation:
1/5x = 60.
Then, we can multiply by 5 to get:
x = 300
Answer:
20 percent of 60 minutes is 1/3
Step-by-step explanation:
I'm not sure if that is what you're asking, but if it is I hope it helps!
A parallelogram with a diagonal drawn through it is shown below.
Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.
STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.
What is the missing reason in the proof?
Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionWhat is the ASA Congruence Criterion?The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.
Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:
Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.
A pair of congruent included sides - ST ≅ S.
These satisfy the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionLearn more about the ASA Congruence Criterion on:
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