Answer:
3cm
Step-by-step explanation:
We know that
Area of trapezoid = 1/2*height*(side1+Side2)
so we have area=21cm^2
side1=5cm
side2=9cm
height= x let.
Now substituting value in formula'
Area of trapezoid = 1/2*height*(side1+Side2)
21=1/2*height*(5+9)
21=1/2*height*14
21=7*height
dividing both side by 7
height=21/7=3
height=3cm
What is the exact distance from (−5, 1) to (3, 0)? (4 points)
square root of 63. units
square root of 65. units
square root of 67. units
square root of 69. units
Answer:
d = √65
I hope this helps!
Answer:
its definitely b
Write an equation of the line that passes through a pair of points: on a coordinate plane, a line goes through (0, 2) and (2, 0). a. y = x + 3 c. y = -x + 2 b. y = x - 3 d. y = -x - 2 please select the best answer from the choices provided a b c d
Since the y-intercept b = 2, hence the equation of the line will be y = -x +2
Equation of a lineThe formula for calculating the slope of a line is expressed as:
Slope = y2-y1/x2-x1
Given the coordinate points (0, 2) and (2, 0)
Slope = 0-2/2-0
Slope = -1
Since the y-intercept b = 2, hence the equation of the line will be y = -x +2
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Answer:
c
Step-by-step explanation:
5 divided by 5 divided by 3/4 plz help
Answer:
0.84
5/5= 1
1 / 3/4 = 0.8333...
0.8333... = 0.84
Answer:
3/4
Step-by-step explanation:
because 5 divided by 5 is 1 and 1/1 divided by 3/4 is 3/4
Please help and give explanation
Answer:
100 mins
Step-by-step explanation:
total no of gallons pool can hold=4500
gallons pool already holds=1500
rate of adding water= 30 gallons per min
time he can continue filing= 4500-1500/30
=3000/30
=100 minutes (m value)
correct me if I'm wrong appreciate me if I'm good
Hey guys! I need help ASAP! 5th grade math offering 15 points. I believe in u!
Answer:
Each person will recieve between 3 and 4 liters
Step-by-step explanation:
Carrie makes 27 liters of lemonade and 8 people share the lemonade equally. If we divide the amount of liters of lemonade by the number of people we will get the amount of lemonade each people will get.
27/8 = 3.375
3.375 is in between 3 and 4 so each person will get between 3 and 4 liters of lemonade
What is the area of a circle with a diameter of 18.2 cm?
Use 3.14 for ∏ and round your final answer to the nearest hundredth.
The area is ___ square cm.
Answer: 260.16 cm
Step-by-step explanation:
Select all of the expressions that are equal to 6.
a) -|6|
b) |6|
c) |-2| · |3|
d) -|-6|
f) |-6|
g) |0 - 6|
Answer:
all except d because d is negative 6
Answer:
B F G C
Step-by-step explanation:
I-2l erases the negative sign unless its liie this -l-2l
Your summer jobs include working for a lawn mowing service and a car wash. Last week you worked
• 22 hours mowing lawns
• 4 hours at the car wash
You are paid $10 per hour at the car wash.
What is the amount per hour you make mowing lawns if your total earnings for last week was $392?
Read the excerpt from "The Tell-Tale Heart."
Which statement best explains how the reader can
determine that the narrator is unreliable?
But you should have seen me. You should have seen
how wisely I proceeded—with what caution—with what
foresight—with what dissimulation I went to work! I was
never kinder to the old man than during the whole week
before I killed him. And every night, about midnight, I
turned the latch of his door and opened it-oh so
gently! And then, when I had made an opening
sufficient for my head, I put in a dark lantern, all closed,
closed, that no light shone out, and then I thrust in my
head. Oh, you would have laughed to see how
cunningly I thrust it in!
O The narrator is very kind to the old man during the
whole week before the murder.
O The narrator checks on the old man every night at
midnight to ensure his well-being.
O The narrator closes the lantern tightly so the old
man is not awakened by the bright light.
O The narrator believes that his audience will approve
of and even laugh at his plot to murder the old man.
Answer:
The narrator checks the old man at every night at midnight
Step-by-step explanation:
Question 4 of 10
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
□A. √2:√2
B. 15
□ C. √√√√5
□ D. 12
DE √3:3
OF. √2:√5
←PREVIOUS
SUBMIT
The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).
In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.
A. √2:√2
The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.
B. 15
This is a specific value and not a ratio. Therefore, option B is not applicable.
C. √√√√5
The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.
D. 12√3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.
E. √3:3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.
F. √2:√5
This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.
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Pls Helps Me with Decimal Division! Brainliest to who answers correct!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the quotient and explain the process and reasoning.
0.27÷0.03 =
Answer:
................................
Box A contain only green and purple counter. Box B contain only green, purple and orange counter. Juan pick one counter from box A and one counter from box B. How many poible way are there for Juan to pick exactly one purple counter
The number of possible ways in which Juan can pick exactly one purple counter from Box A and Box B is 3.
Given,
We know that, Box A contains only green and purple counters.
We also know that, Box B contains only green, purple, and orange counters.
According to question ,
Juan picked one counter from Box A and one counter from Box B
Possible ways to pick exactly one purple counter :
Box A Box B
one purple counter one orange counter
one purple counter one green counter
one green counter one purple counter
Hence, there are 3 ways in which Juan can pick exactly one purple counter.
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Solve the simultaneous equations
4x+y = 10
x - 5y = 13
Answer:
1: x-intercept(s): (\(\frac{5}{2}\),0)
y-intercept(s): (0,10)
2: x-intercept(s): (13,0)
y-intercept(s): (0,−\(\frac{13}{5}\))
Step-by-step explanation:
Is the square root of 100 a natural number?
Answer:
Yes because it equals 10
Step-by-step explanation:
Answer:
10 so yes
Step-by-step explanation:
calculator
HELLLLPPPPP PLEEEEAAASSSSE
Answer:
Zero i think.
Step-by-step explanation:
Answer: it might be 0
Step-by-step explanation:
given what is there, it is by 2. -10, -8, -6, -4, -2, 0. I might be wrong though.
Mylie’s math test had 40 problems. Of these problems, 15% were word problems. How many word problems were on Mylie’s math test?
Answer:
To find the number of word problems on Mylie's math test, we need to multiply the total number of problems by the percentage that were word problems:
Number of word problems = 0.15 x 40
Number of word problems = 6
Therefore, there were 6 word problems on Mylie's math test.
Find the median of the data. 12,33,18,28,29,12,17,4,2
Step-by-step explanation:
Answer:17
Step-by-step explanation: you’re welcome
FIND THE LENGTH OF SEGMENT BD. ROUND TO THE NEAREST TENTHS PLACE HELP
Answer:
BD = 2.4
Step-by-step explanation:
see your other posting for details explanation
110 +0.70x = 50+ 0.90x
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 300}}}}}\)
Step-by-step explanation:
\( \sf{110 + 0.70x = 50 + 0.90x}\)
Move 0.90x to left hand side and change it's sign
⇒\( \sf{0.70x - 0.90x + 110 = 50}\)
Move 110 to right hand side and change it's sign
⇒\( \sf{0.70x - 0.90x = 50 - 110}\)
Collect like terms
⇒\( \sf{ - 0.2x = 50 - 110}\)
Calculate
⇒\( \sf{ - 0.2x = - 60}\)
Divide both sides of the equation by -0.2
⇒\( \sf{ \frac{ - 0.2x}{ - 0.2} = \frac{ - 60}{ - 0.2} }\)
Calculate
⇒\( \sf{x = 300}\)
Hope I helped!
Best regards!!
becca repeatedly tosses a fair coin until she gets a heads, while daniel repeatedly rolls a fair six-sided die until he gets a 3 or higher. calculate the probability that the number of die rolls needed is greater than the number of coin tosses needed.
We need to roll a die at least 3 times and a coin should be tossed at least 2 times.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given this, Becca repeatedly tosses a fair coin until she gets a head.
The probability of getting a head P(H) is = 1/2.
The probability of getting a number 3 or higher is,
P(3) + P(4) + P(5) + P(6).
= 1/6 + 1/6 + 1/6 + 1/6.
= 4/6.
= 2/3.
So, to get a number 3 or higher we need at least 3 rolls, and to get a head we need at least 2 tosses.
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at the beginning of 2023, there were 20 women in the ny senate, versus 43 men. suppose that a five-member committee is selected at random. calculate the probability that the committee has a majority of women.
Therefore, the probability that a five-member committee selected at random from the NY senate has a majority of women is approximately 2.34%.
What is probability?Probability is a measure of the likelihood or chance that a specific event will occur. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. Probability is used in many different areas of mathematics, science, engineering, and other fields to model and analyze uncertain events and make predictions based on available information. It is an essential tool for decision-making under uncertainty and risk analysis.
Here,
We can use the combination formula to calculate the total number of ways to select a five-member committee from a total of 63 senators (20 women and 43 men):
Total number of ways to select a 5-member committee = C(63, 5)
= 63! / (5! * 58!)
= 5,782,995
Now we need to calculate the number of ways to select a committee that has a majority of women. A majority of women means that there are either 3 or 4 women on the committee.
Number of ways to select a committee with 3 women and 2 men:
Number of ways to select 3 women from 20 * Number of ways to select 2 men from 43
= C(20, 3) * C(43, 2)
= (20! / (3! * 17!)) * (43! / (2! * 41!))
= 114,660
Number of ways to select a committee with 4 women and 1 man:
Number of ways to select 4 women from 20 * Number of ways to select 1 man from 43
= C(20, 4) * C(43, 1)
= (20! / (4! * 16!)) * (43! / (1! * 42!))
= 20,665
Therefore, the total number of ways to select a committee with a majority of women is:
Total number of ways to select a committee with a majority of women
= 114,660 + 20,665
= 135,325
Finally, we can calculate the probability of selecting a committee with a majority of women by dividing the number of ways to select such a committee by the total number of ways to select any committee:
Probability of selecting a committee with a majority of women = 135,325 / 5,782,995
≈ 0.0234 or about 2.34%
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FILL THE BLANK. a ____ diagram is used to describe the wiring details of a specific piece of equipment.
A schematic diagram is used to describe the wiring details of a specific piece of equipment.
A schematic diagram is a graphical representation that depicts the electrical connections, components, and circuitry of a system or device.
It provides a simplified and standardized visual representation of the wiring and electrical connections, allowing engineers, technicians, or users to understand the internal workings of the equipment.
In a schematic diagram, different symbols and lines are used to represent various electrical components such as resistors, capacitors, switches, transformers, and wires.
The connections between these components are illustrated using lines that indicate the flow of electrical current.
Schematic diagrams are widely used in various fields, including electronics, electrical engineering, telecommunications, and industrial automation.
They are essential for designing, troubleshooting, and repairing equipment as they provide a clear and concise representation of the electrical connections and functionalities.
Overall, schematic diagrams serve as a vital tool for understanding the wiring details of a specific piece of equipment, enabling efficient analysis, troubleshooting, and communication of electrical systems.
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All of the following equations have the same solution except _____. X + 6. 5 = 6. 3 7. 5 x = 1. 5 = 0. 04 -1. 8 + x = -1. 6.
All of the following equations have the same solution except x + 6.5 = 6.3 , the correct option is (c) .
In the question ,
four equations are given ,
we have to select the option that has a different solution form the given options .
Part(a) the equation is 7.5x = 1.5
simplifying further ,
we get ,
x = 1.5/7.5 = 0.2
Part(b) the equation is x/5 = 0.04
simplifying further ,
we get ,
x = 5*0.04 = 0.2
Part(c) the equation is x + 6.5 = 6.3
simplifying further ,
we get ,
x = 6.3 - 6.5 = -0.2
Part(d) the equation is -1.8 + x = -1.6
simplifying further ,
we get ,
x = -1.6 + 1.8 = 0.2
Therefore , the equation that is having a different solution (x = -0.2) is (c) x + 6.5 = 6.3 .
The given question is incomplete , the complete question is
All of the following equations have the same solution except _____.
(a) 7.5x = 1.5
(b) x/5 = 0.04
(c) x + 6.5 = 6.3
(d) -1.8 + x = -1.6
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Answer Quickly please
Answer: A and D
Step-by-step explanation: The centimeters of the triangles are the same, therefore congruent.
solve the following using BEDMAS
5X4 -(3+1)2÷2
the value of the expression is 12.
To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.
The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.
It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.
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Helppppppp pleaseeee find the value of x. Step by step please
Becca made 2 trays of rolls and bisouits. Each tray had 12 folls and 6 biscuits. How many total rols and bisouits did Beca make?
Becca made a total of 24 rolls and 12 biscuits.
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.
Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:
Total rolls = 2 trays × 12 rolls per tray = 24 rolls
Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits
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Sr-85 used on bone scans it has a half life of 64.9 days fine the remaining amount after 100 days
The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.
How can the remaining amount of the substance be calculted?To calculate the amount that remains after 100 days, this formular can be used
amount remaining = \(a (0.50)^{\frac{t}{h} }\)
where t is the time that was required for the process to take place, where t is 100 days.
h is the halftime, which is been given as 64.9 days
where a is given as the initial amount that is present which is 8.
Then the values can be substituted to have
\(=a (0.50)^{\frac{100}{64.9} }\)
= 2.749
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expand - 4x(x^2 - y)
Answer:
-4x³ + 4xy
Step-by-step explanation:
distribute -4x by 'x²' and '-y'
-4x(x²) = -4x³
-4x(-y) = 4xy
Answer:
-4x^3+4xy
Step-by-step explanation:
Distribute the -4xy
Often, independent variables are available to build a regression model of a time series variable. group of answer choices true false
Answer:
true
Step-by-step explanation:
.............................