Answer:
EC/AB = FC/MA
Step-by-step explanation:
We are given AB
≅
BC that means that side AB and side BC are equal also we know that angle opposite to equalt
sides are equal.
Hence, ∠BAE=∠BCE-------(1)
Also ∠AEB=∠CEB.
Now we are given that: ∠ABC = 130°30’ i.e. in degrees it could be given as:
60'=1°
30'=(1/2)°=0.5°
Hence ∠ABC = 130°30’=130+0.5=130.5°
Also we know that sum of all the angles in a triangle is equal to 180°.
Hence,
∠BAE+∠BCE+∠ABC=180°.
2∠BAE+130.5=180 (using equation (1))
2∠BAE=49.5
∠BAE=24.75° (DIVIDE BOTH SIDE BY 2)
Now in triangle ΔBEC we have:
∠BEC=90° , ∠BCE=24.75°
SO,
∠BEC+∠BCE+∠EBC=180°.
Hence, 90+24.75+∠EBC=180
∠EBC=180-(90+24.75)
∠EBC=65.25°
Now we are given AE = 10 in
Also ∠BEA= 90°.
And ∠BAE=24.75°; hence using trignometric identity to find the measure of side BE.
\begin{gathered}\tan 24.75=\dfrac{BE}{AE}=\dfrac{BE}{10}\\\\BE=10\tan 24.75-------(2)\end{gathered}tan24.75=AEBE=10BEBE=10tan24.75−−−−−−−(2)
similarly in right angled triangle ΔBEC we have:
\begin{gathered}\tan 24.75=\dfrac{BE}{EC}\\\\\tan 24.75=\dfrac{BE}{EC}\\\\EC=\dfrac{BE}{\tan 24.75}------(3)\end{gathered}tan24.75=ECBEtan24.75=ECBEEC=tan24.75BE−−−−−−(3)
Hence, using equation (2) in equation (3) we get:
EC=10 \text{in.}EC=10in.
Hence AC=AE+EC=10+10=20 in.
Hence side AC=20 in.
A farm lets you pick 3 pints of raspberries for $12.00.
1.) What is the cost per pint?
2.) How many pints do you get per dollar?
3.) At this rate, how many pints can you afford for $20.00?
4.) At this rate, how much will 8 pints of raspberries cost?
Answer:
Step-by-step explanation:
3 pints = $12
1 pint = 12/3 = $4
$1 = 1/4 pint
$20 = 1/4 x 20 = 5 pints
8 pints = $4 x 8 = $32
Answer:1. $4 per pint
2. 0.25 pints per dollar
3. you can afford 5 pints with $20
4. $32 for 8 pints
The maximum speed that a sailboat can reach depends on the size of the boat. The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, L.
The longer the sailboat is, the_____it can go.
For a boat to reach the speed of 10 kilometers per hour, it needs to be at least___feet long.
The maximum speed that an 888-foot boat can reach is___kilometers per hour.
A 16-foot sailboat at top speed is_____as fast as a 4-foot sailboat at top speed.
Answer:
The longer the sailboat is, the faster it can go.
For a boat to reach the speed of 10 kilometers per hour, it needs to be at least 16 feet long.
The maximum speed that an 8-foot boat can reach is 7 kilometers per hour.
A 16-foot sailboat at top speed is 2 times as fast as a 4-foot sailboat at top speed.
Step-by-step explanation:
I did it on Khan Academy and I got it right!
The correct fill in the blanks are as follows;
The longer the sailboat is, the faster it can go.
For a boat to reach the speed of 10 kilometers per hour, it needs to be at least 16 feet long.
The maximum speed that an 8-foot boat can reach is 7.1 kilometers per hour.
A 16-foot sailboat at top speed is 2 times as fast as a 4-foot sailboat at top speed.
Given;
The maximum speed that a sailboat can reach depends on the size of the boat.
The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, L.
The steps are used to solve the problem given below;
1. In the question given the maximum speed that a sailboat can reach depends on the size of the boat.
Therefore, The longer the sailboat is, the faster it can go.
The longer the sailboat is, the faster it can go.
2. In the graph a boat reaches the speed of 10 kilometers per hour, the slope of the graph at 16 feet.
For a boat to reach the speed of 10 kilometers per hour, it needs to be at least 16 feet long.
3. The maximum speed at which the 8-foot boat can reach the slope of the graph is 7.1 kilometers per hour.
The maximum speed that an 8-foot boat can reach is 7.1 kilometers per hour.
4. The top speed of a 16-foot boat is 10 kilometers per hour and of a 4-foot boat is 5 kilometers per hour.
Then, The ratio is,
[tex]= \dfrac{10}{5}\\\\= 2[/tex]
A 16-foot sailboat at top speed is 2 times as fast as a 4-foot sailboat at top speed.
For more details refer to the link given below.
https://brainly.com/question/11823590
a1 + (n-1)d formula for the nth term . a1 = 1 , d = 9
show how u got ur answers and the formulla and ty
Answer:
a=1 and d=9
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
Please Help Need by today!!!!
The entrance to an accessibility ramp is at ground level.
The first section of the ramp covers a horizontal distance of 18 feet and rises to a landing 1.5 feet above the ground.
The second section of the ramp begins at the landing. It rises at a slope of \frac{1}{18}
and covers another 9 feet of horizontal distance to reach the door.
NOTE: Sketch not drawn to scale.
Answer the questions to compare the sections of the ramp.
1. What is the slope of the ramp from the ground to the landing? Write your answer as a fraction with a whole-number numerator and denominator.
Answer:
Step-by-step explanation:
slope = "rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing
slope is the change in height, the vertical change, divided by the change in horizontal distance
2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot
slope = 1/18 = (1/2)/9
the door is 2 feet higher than the ground level, 1.5 + .5 = 2 feet change vertically
What is -7/10 / 2/5 as a fraction in simplest form
Answer:
-7/25
Step-by-step explanation:
hope get Brainliest
Answer:
-1 3/4
Step-by-step explanation:
To divide fraction you have to turn the equation into a multiplication equation. You do this by flipping 2/5 to get 5/2 and then you can solve your equation.
-7/10*5/2 = -7/4 (using cross multiplication you can simplify 10 and 5, making 10 = 2 and 5 = 1)
-7/4 is an improper fraction so you can turn it into a proper fraction which is -1 3/4
Hope this helps, Have a nice day :)
Please help me I will give out extra points and the brain thing
Image below
Answer:
Y= 0
Step-by-step explanation:
A proportional relationship is when two numbers change at a constant rate. They always are modeled by y = kx, which in this case, would be y = 5/3x. The y-intercept would be added to the equation, as y = kx + b, in this case would be y = 5/3x + 0, or the previous equation.
Hope it helped! :D
What does it mean to use context clues?
Answer:Context clues are hints found within a sentence, paragraph, or passage that a reader can use to understand the meanings of new or unfamiliar words.
Step-by-step explanation:
Step-by-step explanation:
Context clues are hints found within a sentence, paragraph, or passage that a reader can use to understand the meanings of new or unfamiliar words.
A family’s vacation destination is 850 miles from their home. They travel by car 6 hours on the first day of their trip. Their average speed is 45 miles per hour. The next day they travel 7 hours, averaging the same speed. How many miles are left for the family to travel?
Answer:
The distance traveled is equal to the product of the speed and the time. For the first day,
d = (45 mile/h)(6 h) = 270 miles
On the second day,
d = (45 mile/h)(7 h) = 315 miles
The total distance traveled after 2 days is equal to 585 miles. Subtracting this value from the given distance will give us an answer of 265 miles.
Step-by-step explanation:
6x45=270, 7x45=315, 270+315=585, 850-585=265
265 miles left
Find the missing number so that the equation has infinitely many solutions.
4x + ? – 6x = – 2x – 9
Missing Number = ?
What is the slope of the line on the grid.
A coordinate grid that includes the line y equals negative one-third x plus four. Points are plotted at begin ordered pair 0 comma 4 end ordered pair begin ordered pair negative 6 comma 6 end ordered pair and begin ordered pair 6 comma 2 end ordered pair. PLZ ANSWER I NEED HELPPPPPPPPPPPP
Answer:
wow thats one hard equationnnnn
Step-by-step explanation:
If something on Jupiter weighs 350 pounds, how much would that thing weigh on Uranus?
Answer: We would weigh 310
Step-by-step explanation:
Answer:
i guess 310 :P
Step-by-step explanation:
-3-
The questions are on the pictures ( I’m sorry that there are so much pictures but I couldn’t make the page smaller)
Answer:
4: A
5: C
6: A i think
7: D
8: B
Step-by-step explanation:
PLZZ HELP THIS DUE TODAY AND I STRESSING OUT PLEASE SOMEONE HELP PLZ DON'T SPAM PLZ THS DUE RIGHT NOW PLZZ!!!
1. What two directions could point B be located related to point A? Write two equations to represent the possible locations of point B or in other words, how did you travel to point B. Make a conclusion about the sums in relation to the integers in the equations on the next slide.
2. Explain How you could use absolute value to show that -4+3 and 3+(-4) have the same value. Which property of addition states that these sums are equivalent?
3. You know that the sum of -5 and another integer is a positive integer. What an you conclude about the sign of the other integer? What can you conclude about the value of the other integer?Explain.
4. Jim is standing beside a pool. He drips a weight from 4 feet above the surface of the water in the pool. The weight travels a total distance of 12 feet down before landing on the bottom of the pool. Explain how you can write a sum of integers to find the depth of water.
Answer:
1 im not 100% on this one but b could be a horizontal reflection or a vs vertical reflection
2 The absolute value of a number is its distance from zero on the number line. Therefore, -4+3 is 4+3, and the absolute value of 3+(-4) is also 4+3.
Step-by-step explanation:
2 The absolute value of a number is its distance from zero on the number line. Therefore, the absolute value of 3 is 3, and the absolute value of -3 is also 3. A positive number and its negative have the same absolute value. It is symbolized as |x|, and |-x| has the same value.
this is a helpful site to use for homework toofor the qustions i coundnt help with.
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find slope of the line
Answer:
The answer is 3 remember rise over run so how many up from a point to another point and how many over.
Answer:
B
Step-by-step explanation:
i am 1000000% sure because it goes up 3 and over 1 when it intersects
a point with a positive x-coordinate and a negative y- coordinate is reflected over the y-axis . what sentence will describe the coordinates of the new point ?
Answer:
The sentence that describes the reflected point (x,-y) over the y-axis
Step-by-step explanation:
Since not sure if specific options are available lets answer this question in a general notation.
Let us consider the Co-ordinate system in two dimensions (i.e. and ); where the horizontal line represents the values and the vertical line representes the values.Now we are told that we have a point with a positive x-coordinate and a negative y-coordinate, thus:
This means our point is located at the 4th Quadrant (where values are positive and values are negative).
Reflecting it over the y-axis means that our point is now located on the 3rd Quadrant (where both and values are negative).
Therefore the new reflected point will now be:
''a point with a negative x-coordinate and a negative y-coordinate''
Answer:
the x-coordinate is negative, and the y-coordinate is negative
Step-by-step explanation:
the guy above said so?
WHATS 1+1+ 6454873648768746832476387067367386378826846643737?
need help big time.. this is due in 5 mins pls help
Answer:
top on is 24$ the bottom one is 7 and the other one is also 7 as c stands for coast
The scientist reduces the temperature by 3.5 °C on Tuesday. Select the equations that show the new temperature in °C.
Answer:
Can you give us some more information so we can help u out
Step-by-step explanation:
Paul, Marc and Eric made the same number of shots during the basketball game. Paul makes 75% of his shots, Marc makes 13/20 of his shots, and Eric makes 0.7 of his shots. Who made the most shots? Who made the least shots? Explain your answer and reasoning in detail. Use the following vocabulary such as same, most, least.
Answer:
Paul made the most shots at 75%, Eric mad the second best with 70% and Marc made the least (65%)
Step-by-step explanation:
Hope this helps ^<^
Use the data in the table to find the rate of change in the length of baby girl Grace. (2 points)
Answer: Baby Girl Grace grows 3/4 inch every month.
Step-by-step explanation:
Y= (y_2 - y_1)/ (x_2 - x_1)
Y= (29-26)/(16-12)
Y= (3/4)
The rate of change of height of baby girl is 0.75 inches per month.
What is Rate of change?A value that results from dividing the change in a function of a variable by the change in the variable velocity is the rate of change in distance with respect to time.
Here, from the given table;
At 4th month, the length of baby girl = 20 inches
at 30th month, the length of baby girl = 39.5 inches
x₁ = 4, y₁ = 20
x₂ = 30 y₂ = 39.5
Now,
Rate of change of height = (y₂-y₁) / (x₂ - x₁)
= (39.5 - 20) / (30 - 4)
= 19.5 / 26
= 0.75
Thus, the rate of change of height of baby girl is 0.75 inches per month.
Learn more about Rate of change from:
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Tony bought 3 tickets to a concert for $78. How much will it cost for 6 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:
Number of Tickets 3 4 5 6
Cost $78 $104 $130 ?
(3 points)
Select one:
a.
$136
b.
$146
c.
$156
d.
$234
Answer:
c. $156
Step-by-step explanation:
There are two ways to solve this problem. The first is doubling the first cost as 6 is 2(3). The other way is subtracting the previous number in the sequence with the new one. For example 104-78=26. Then add 26 to 130 and you get 156.
Answer: I would say D.
Step-by-step explanation:
Draw a figure and translate it 3 units to the right, reflect in the y axis and rotate it 100
Can someone plz help me do this
Answer:
Step-by-step explanation
What is 1/20 written as a percent?
A. 0.5%
B. 5%
C. 10%
D. 20%
Answer:
B
Step-by-step explanation:
1/20
5/100
Answer:
B. 5%
Step-by-step explanation:
Step 1:
1/20 = 5/100 Convert
Step 2:
5/100 = 0.05 Convert
Step 3:
0.05 = 5% Convert
Answer:
5%
Hope This Helps :)
Use the interactive to graph the line that goes through (–4,–3) and has a slope of 3/4.
Which statements are true about the line? Check all that apply.
The line is horizontal.
The line goes through the origin.
The point (3,4) lies on the line.
The line is sloping upward.
The x-intercept is 0.
Answer:
simbizi
Step-by-step explanation:
Answer:
The line goes through the origin
The line is sloping upward
The x intercept is 0.
Step-by-step explanation:
Nate's work to solve a math problem is shown below.
Problem: Leona traveled 25 miles in 2/3 of an hour. What was her average speed in miles per hour?
Step 1: 25 divided by 2/3=r
Step 2: 1/25 x 2/3=r
Answer: 2/5=r
What was Nate's first error?
A.He used division instead of multiplication to model the problem in step 1.
B.He switched the divisor and the dividend when creating an equation to model the problem in step 1.
C. He replaced the wrong term with its reciprocal in step 2.
D.He should not have changed division to multiplication in step 2.
Answer:
it's C. He replaced the wrong term with its reciprocal in step 2.
Step-by-step explanation:
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total.
1.) How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning.
2.)How much are the coins in the piggy bank worth?
Answer:
1) 100 dimes, 150 nickels, 250 quarters.
2) $80
Step-by-step explanation:
what expressions are equivenlent to 1/2 - 2/5
Answer:
3/10
6/20
18/40
etc.
Step-by-step explanation:
1/2-1/5
5/10-2/10=3/10
Jon invested $4,00 Into an account that pays 5 percent simple interest per year. What is the total balance in the account after 3 years?
Answer:
he would have $4,715
Step-by-step explanation:
Sandra saves 10% of her salary for retirement. This year her salary was $2,000 more than in the previous year, and she saved $4,200. What was her salary in the previous year?
Answer:
2200................ here you go
Answer:
2200 :)
Step-by-step explanation:
The graph below represents the height of a golf ball in feet as a function of the elapsed time since it was hit. The golf ball was in the air for 4 seconds.
What are the domain and range of the representative function?
A)Domain: 0 ≤ x ≤ 4
Range: 0 ≤ y ≤ 80
B)Domain: 0 < x < 80
Range: 0 < y < 4
C)Domain: 0 < x < 4
Range: 0 < y < 80
D)Domain: 0 ≤ x ≤ 80
Range: 0 ≤ y ≤ 4
Answer:
It´s A
Step-by-step explanation:
You can eliminate B and D because the ¨x¨ would be 4 not 80 because it´s on the x-axis not on the y-axis. Secondly whenever you have a graph you need to have the less than or equal to sign with the line under.
Hope this helps :)
The domain and range of the representative function should be option A. Domain: 0 ≤ x ≤ 4
Range: 0 ≤ y ≤ 80
What are domain and range?The domain of a function represent the set of values that should be permitted for putting into the function. In this set, the x values in the function like f(x). Here the range of the function represent the amount set where the function should be presumed.
Therefore, based on the given graph the correct option is A.
Learn more about graph here: https://brainly.com/question/24366502