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
Given: AB ≅ BC , AE ≅ FC Prove: m∠AEC=m∠AFC
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.
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:
PLZ HELP I WLL GIVE BRAINLIEST
On a coordinate grid, both point (3, 5) and point (−2, −4) are reflected across the y-axis. What are the coordinates of the reflected points?
(−3, 5) and (2, 4)
(−3, 5) and (2, −4)
(−3, −5) and (−2, −4)
(3, −5) and (−2, −4)
What is the best estimate of the sum of the fractions?
StartFraction 31 over 4 EndFraction + StartFraction 17 over 3 EndFraction + StartFraction 8 over 18 EndFraction
Answer:
Let's add the fractions first and then we can estimate the sum.
= 31/4 + 17/3 + 8/18
change to common denominators
= 279/36 + 204/36 + 16/36
add numerators only
= 499/36 or 13 31/36 or 13.86
ANSWER: (B) 13 is the best estimate of the answer. Normally we round up to 14 with a number like 13.86, but since that is not a choice, we can estimate 13 as the answer.
Answer:
c
Step-by-step explanation:
What do you have to multiply 95 by to get 950?
Answer:
10
Step-by-step explanation:
950 / 95 = 10
Answer:
10
Step-by-step explanation:
950 divided by 95 = 10
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
the equation y=10x represents a proportional relationship. What is the constant of proportionality?
A.x
B.1/10
C.0
D, 0
Answer:
A.x
Step-by-step explanation:
WHATS 1+1+ 6454873648768746832476387067367386378826846643737?
Write the equation in slope-intercept form: y - 25 = 2(x - 9)
I'll give brainliest to whoever gets this right
Answer:
y=2x+7
Step-by-step explanation:
First add 25 on both sides. y=2(x-9)+25
Then distrubute the 2: y=2x-18+25
Then simplify: y=2x+7
Please help me and actually show me the work DONT write a whole explanation on how to do it please thank u please please please show all work
Answer:
-3.334
Step-by-step explanation:
I thought you got A so this is B
I’m sorry the sign was negative I forgot it
If it really helped please give me brainliest
Plz help quick i just need the help
Answer:
H
Step-by-step explanation:
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
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
Write the answer as a mixed number fraction (if possible) 9 1/3 divided by 8 2/5
Answer:
1.1111111111
Step-by-step explanation:
h e l p meee-
Which describes the life of an indentured servant in colonial times?
Choose all of the answers that are correct.
A. legally bound to the employer for a set amount of time
B. spent evenings reading or entertaining guest
C. had to do whatever job were assigned
D. viewed as someone's property for life
Answer:
A. legally bound to the employer for a set amount of time
C. had to do whatever job were assigned
Step-by-step explanation:
Answer:
Correct answers: A, B,not sure about C, usually it was for life unless they could work their way out and eventually leave to go somewhere else, most of the time that didn't happen. Because the owners made it so they would never be able to actually leave.
What is the resolution in Ares god of war?
Answer Ares was a Olympian god of war, violence and destruction. He was not welcomed by both gods and mortals in Greek mythology, nor ancient Greeks themselves, well with the few exceptions such as Spartans and the Amazons. He is often compared with his half sister Athena who is also, like Ares, associated with war activities. However, while Athena is respected and appreciated for her warfare, strategy, courage and wisdom, Ares is seen as the force of destruction, savage warfare and bloodlust. No one really liked his activities because, wherever he went, he left traces of misfortune and aberration behind. Despite his unpopularity, he was worshiped and honored in Crete and Peloponnese, where military bases of Spartans could be found, as well as in Pontus, the northern part of modern greece.
During a drought, a river's height decreased by 0.35 inches every day. What is the change in the river's height after one week?
Answer:
It will be 2.45 inches by the end of the week
Pls help me thanks :)
Answer:
c = [tex]\sqrt{45}[/tex]
Step-by-step explanation:
According to the Pythagoras' Theorem, the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides.
Since the other two sides are 6 and 3, [tex]c^{2}[/tex] = 6 squared + 3 squared.
So, c = the square root of 6 squared + 3 squared
To avoid a storm, a passenger-jet pilot descended 0.51 mile in 0.6 minute. What was the plane's average change of altitude per minute?
Answer:
The average change of altitude per minute would simply be the ratio of distance descended over time. That is:
average change of altitude = distance / time
average change of altitude = 0.44 mile / 0.8 minutes
average change of altitude = 0.55 mile / minute
Step-by-step explanation:
PLEASE HELP ME I NEED THIS ASAP
The number is odd.
Its only two factors are prime numbers.
The sum of the two factors is a factor of 36.
The number is greater than 50 but less than 75.
What is the mystery number?
Answer:
65
Step-by-step explanation:
13*5=65
13 is a prime number and so is 5
13+5=18
18 is a factor of 36
the answer is 65
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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Answer:
It has the same shape and angels as a trapezoid therefor it is a trapezoid
Step-by-step explanation: If u dont believe me, look for a pic of a trapezoid on google
-can someone help me asap-
the university of arizona recently released a new line of apparel at their campus bookstore. You can buy a new hooded sweatshirt for $50 before tax. You would have to pay an additional 7.25% in sales tax.
How much sales tax would you have to pay when purchasing a new hoodie?
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 solve for x x=3 2/3
Answer:
x= 32 /3
Step-by-step explanation:
PB:x=3 2/3
A:x= 11/3
:)
i dare u to get this right
my sister needs help
Answer:
Between 3 and 6
Step-by-step explanation:
Process of elimination, and if you count with your fingers, you get about 4 inches.
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 ^<^
WRITE IT OUT STEP BY STEP PLZ I NEED IT ASP
1) Write a word problem using the information from the given equation and inequality. Be sure to include all seven parts and an appropriate question requesting a solution for the unknown (variable).
The seven parts of a one-variable equation are as follows:
1 – correct variable term for the left side expression
2 – correct constant term for the left side expression
3 – correct operation between the terms of the left side expression
4 – correct equal sign or inequality symbol
5 – correct variable term for the right side expression
6 – correct constant term for the right side expression
7 – correct operation between the terms of the right side expression
Equation: -70.4x + 1,250 = -50.5x + 1,110
Answer:
Step-by-step explanation:
-70.4x+1,250= -50.5x+1,110
+70.4 +70.4
1,250= 19.9x + 1,110
-1,110 -1,110
140=19.9x
x=7.01
i hope that helped you
Find the missing number so that the equation has infinitely many solutions.
4x + ? – 6x = – 2x – 9
Missing Number = ?