Answers
Answer:
( AB )² + 12 = 162
Step-by-step explanation:
By Pythagoras theorem,
( AB )² + ( BC )² = ( AC )²
( AB )² + ( 2√3 )² = ( 9√2 )²
( AB )² + 12 = 162
Step-by-step explanation:
it's a right angled triangle so to find the measures of 3rd side we use hypotenuse formula which is,
h² = a² + b²
here in the given figure we have to find base or b²
(AC)² = (CB)² + (AB)²
we know,
AC = 9√2
CB = 2√3
now,
162 = 12 + AB
THEREFORE, OPTION B is correct.
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Related Questions
The sizes of the angles in degrees of e triangles are.
2x+7
2x
X+18
Use this information to write down an equation in terms of x
Answers
5x + 25 = 180
5x = 155
x = 31 °
what part of 3 dollars are 25 nickels
Answers
Answer:
25 nickles are 5/12ths of a dollar
Step-by-step explanation:
25*5=125, or $1.25. Now we make this a fraction, we get 1.25/3, or 5/12
The 25 nickels are the 5/12 part of the 3 dollars.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We know that 1 nickel = 0.05 dollars.
Then the number of dollars in 25 nickels will be given as,
⇒ 25 x 0.05
⇒ $1.25
Divide the number 1.25 by 3. Then we have
⇒ 1.25 / 3
⇒ 5 / 12
The 25 nickels are the 5/12 part of the 3 dollars.
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Russel wants to buy 3 identical gift cards. He wants to make sure his total cost is no more than $2 above or below $60. Which of the following inequalities represents this situation?
A|3c − 60| ≤ 2
B|60 + 3c| ≤ 2
C |3c − 2| ≤ 60
D |3c + 2| ≤ 60
Answers
Step-by-step explanation:
very imprecise phrasing.
I assume this means the cost should not be more than $2 above, and not less than $2 below $60.
the bottom line is : the difference between the price of the 3 gift cards and the planned budget of $60 must not be more than $2 (no matter what's the sign of the difference - hence the usage of absolute values).
the only answer calculating that difference and comparing it to the $2 threshold is A.
remember, a difference is always calculated by a "-" operation.
so, B and D disqualify.
C compares the price of the 3 cards with $2 and compares that result with the limit of $60.
yes, that protects against too expensive cards.
but no, it does NOT protect against to cheap cards. e.g. if the cards (3c) cost only $30, that inequality would still be true (but should not).
so, A is the correct answer.
What is the product in simplest form −6/11⋅3/4
Answers
Which of the following number forms a pattern
(a) – 6 , - 3 , 0 , 3 (b) – 5 , - 3 , - 2 , 0 (c) 0 , 2 , 3 , 4 (d) 1 , 2 , 4 , 6
Answers
Answer:
the answer is A since it forms a pattern :>
I need help with this ASAP It will give you 55 points!!!!!!!
Answers
-f * 3/2 = -1/3
-3/2f= -1/3
F= 2/9
Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?
a)Deductive Reasoning
b)Inductive Reasoning
Answers
Answer:
a)Deductive
Step-by-step explanation:
When you apply rules (in this case theorems) it is a deductive reasoning
:) stay safe out there
Answers
Answer:
8
Step-by-step explanation:
40 POINTSSS PLEASE HELPP!!
2. Use the following statement to answer ALL three parts of the question.
Statement: If two lines do not intersect, then they are parallel.
(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.
Answers
b) Converse means to engage or explain, I think…so, the converse of the statement would be that yes, it is true that when two lines do not intercept then they are parallel. Because parallel lines never cross or meet, meaning they will NEVER ever have a crossing point.
c) the contrapositive of the statement would be: if two lines do not cross then they are parallel. If they do intercept, then they are not parallel. As simple as that. I think contrapositive means that…I looked what contrapositive means…so I think I’m right.
I hope this helps!! Or some at least. :)
Good luck!
Which graph shows the lowest cost per square foot for a new home?
Answers
Answer:
the bottom right
Step-by-step explanation:
Four friends are creating posters for their presentations, which will be delivered in different locations. Which person should create the largest posters
Answers
Answer:
Lindsey, who is delivering her speech in a large auditorium
Step-by-step explanation:
Jin, who is delivering her speech to a small group sitting around a table
Lindsey, who is delivering her speech in a large auditorium
Luke, who is delivering his speech in a typical classroom
Jordan, who is delivering his speech in a small meeting room
WILL MARK BRAINLIEST
Solve 39.2 ÷ 7 = ________.
5.2
5.3
5.5
5.6
Answers
Answer:
5.6
Step-by-step explanation:
Answer:
5.6
Step-by-step explanation:
I just take each answer and multiply it by 7 until the answer matches 39.2.
5.6 * 7 = 39.2
a population of bacteria is increasing at a rate of 7.5% per hour. if there were originally 275 bacteria, which of the following eguations models the population of bacteria h-hours after the original 275 bacteria were measured?
Answers
this is an exponential growth formula:
Total = start value x ( 1 + percent) ^ time
Population = 275(1.075)^h
A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than
Answers
Considerations based on the wattage of the available appliances are required when designing for the electricity.
The required wattage inequality is; Available wattage > 10,460 WattsReasons:
The items used and the possible power consumption obtained from a similar are as follows;
Appliance [tex]{}[/tex] Average power (Watts)
One air conditioner; [tex]{}[/tex] 3,500
Washing machine; [tex]{}[/tex] 500
Clothing dryer; [tex]{}[/tex] 5,000
Computers × 2; [tex]{}[/tex] 70 × 2 = 140
Light bulbs × 4; [tex]{}[/tex] 60 × 4 = 240
Refrigerator; [tex]{}[/tex] 600
Television × 2; [tex]{}[/tex] 240 × 2 = 480
The power, P, in watts that might be needed is found as follows;
Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460
The electric power in watts that might be needed, P = 10,460 Watts
Therefore;
The available wattage must be greater than 10,460 Watts
The inequality is; Available wattage > 10,460 Watts
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What is the slope of a line with the equation of 2.5x+5y=20
Answers
The required slope of the given line is 2.5x+5y=20 m = 1/2
Given that,
To determine the slope of the line 2.5x+5y=20.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
standard equation of the line,
y = mx + C
Transform the given equation into the equation of the line,
2.5x+5y=20
y = 1/2x + 8
When comparing the above equation with the standard equation of line,
m = 1/2
Thus, the required slope of the given line is 2.5x+5y=20 m = 1/2
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how many solutions does  3x+9=25x+14 have?
Answers
Answer:
one solution
Step-by-step explanation:
3x + 9 = 25x + 14
-3x -3x
9 = 22x + 14
-14 - 14
-5 = 22x
What is the slope of the line that passes through the points (3, 6) and (1, 2)
Answers
Answer:
2
Step-by-step explanation:
[tex]\frac{(2-6)}{(1-3)}[/tex]=[tex]\frac{-4}{-2}[/tex]=2
A bathtub is filling with water at a rate of 606060 liters per minute.
How many liters of water are in the bathtub after t minutes?
Answers
Answer:
606060t
Step-by-step explanation:
606060 liters x t minutes = 606060t
if 4 watches cost 76.800. Find the cost of 9 watches pls answer my question
Answers
Answer:
1 watch cost 19,200 (76800/4=19200)
9 watches cost 172,800 (9×19200=172800)
Step-by-step explanation:
Answer:
$172.8
Step-by-step explanation:
divide 76.800 by 4 to figure out how much each watch cost. Than once you got that answer multiply by 9 to find out the cost of 9 watches
76.800÷4= 19.2
19.2×9= 172.8
can u answer this plz thanks
Answers
Answer: 3/4 of 8 just means 3/4 x 8, which is 6 miles. Do the same with 3/5 x 10, which is also 6 miles. Therefore both of them walked the same distance. Please mark me brainliest!
Hey y’all pls help me , what’s the answer :))
Answers
Answer:
r — 7.5 > -8
Step-by-step explanation:
r — 7.5 < —8 is r < - 0.5
—r — 7.5 > -8 is r < 0.5
—r — 7.5 > 8 is r < -15.5
r — 7.5 > -8 is r > -0.5
If you replace r with 17 the only that would be true is r — 7.5 > -8 cause 17 - 7.5 > -8 = 9.5 > -8 making the sentence true.
Which product is modeled by the number line below
Answers
Answer:
the second option/b
Step-by-step explanation:
because -2*4 equals -8
Answer:The second option beacue -2*4 equal -8
Step-by-step explanation:
Solve for the value of m
Answers
Answer:
m=37
Step-by-step explanation:
180-35=145
4m-3=145
4m=148
m=37
Oranges cost 85 cents each.
Leo has a $10 note.
Work out the maximum number of oranges he can buy
Answers
Answer:
11
Step-by-step explanation: 100 cents- $1
85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935
935 or 9.35 dollars
10 / 1.25
8
Josephine was charged $7.20 for a long distance call that lasted 1.5 hours. What was the cost per hour for her long distance call?
Answers
Based on the information given, the cost per hour for her long-distance call will be $4.80.
Amount that was charged for the call = $7.20
Number of hours used = 1.5 hours
The cost per hour for her long-distance call will be:
= Amount that was charged for the call / Number of hours used
= 7.20 / 1.5
= $4.80
In conclusion, the cost is $4.80.
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Soooo I’m kinda confuzzled, I have trouble simplifying decimals..does anyone mind giving a helping hand??
Answers
Answer:
65 miles per gallon.
Step-by-step explanation:
Scale it down. [tex]78:1.2 = x:1.0[/tex] or, solving for x, [tex]x= \frac{78\cdot 1.0}{1.2} = 65[/tex] miles per gallon.
PLEASE HELP!!! WORTH 50 PTS
6.7 Problem 12
A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of bacteria p at a given time t is given by the formula p(t)=2500ekt for some constant k. (You will need to find k to answer the following.)
(a) Find the size of the bacterial population after 20 minutes.
(b) Find the size of the bacterial population after 9 hours.
Answers
Answer:
I think it is 392=but am not sure
Use a calculator to find log 0.0019. round answer to 2 decimal places
Answers
Answer:
Step-by-step explanation:
-2.72
The steps used to solve this are (for most calculators ) is
log
0.0019
=
If you do not own a scientific calculator, you can use the one that came from windows.
Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire
Answers
Answer:
3p to shape and 10 minutes to fire
= 3p + 10
3x10 + 10 = 40 minutes for a batch of 10 pots
therefore D is the correct answer.
The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots. Therefore, option D is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, a ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln.
There are p pots in a batch.
3p to shape and 10 minutes to fire
So, the expression is 3p+10
To form and fire a batch of 10 pots:
Put p=10 in 3p+10, we get
3x10 + 10 = 40
Therefore, option D is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots? A.The expression is 3p. It takes 30 minutes to shape and fire 10 pots.
B.The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots.
C.The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots.
D.The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.
6 to the power of 2+ 15
Answers
Answer:
51
Step-by-step explanation:
Answer:
51
Step-by-step explanation: