Answers
Answer:
10 cm
Simplified explanation/tl;dr: the small triangle is two thirds the size of the big triangle, so the missing side on the small triangle is two thirds the size of the same side on the big triangle
Long explanation/step by step:
It looks scary, but don't worry; for questions like this just find the ratio then multiply it by the similar side to find the missing side.
This is what I mean: 8/12 simplified is 2/3 (4 is the common factor and 8/4 = 2 and 12/4 = 3). That's your fraction to multiply by.
I chose 8 and 12 because look how the triangles are the same shape just different sizes, that means they're similar. the similar sides are just the same side on both triangles. (for this one, BC and GH are similar). to find how much smaller it is in fraction form, you just take two of the same sides and divide the small one by the big one. (big number becomes top, small becomes bottom)
now just multiply 15 by 2/3 by using fraction multiplication. 15/1 x 2/3 = 30/3. Simplify that to 10/1 (3 is the common factor and 30/3 = 10 and 3/3 = 1). 10/1 = 10.
Related Questions
The car arrives from city A to city B in 3 hours. How many hours will it take to go the same way if you increase the speed by 20%?
Answers
Given :-
The car arrives from city A to city B in 3 hours.Speed is increased by 20% .To find :-
The new time taken .Solution :-
Let us assume the distance between A and B be x and the initial speed by y . After 20% increase in the speed , new speed will be ,
[tex]\blue{\dashrightarrow} [/tex] Speed = 120y/100
[tex]\blue{\dashrightarrow} [/tex] Speed = 6/5y
• According to the Question ,
[tex]\red{\dashrightarrow} [/tex] Distance = Speed * Time
[tex]\blue{\dashrightarrow} [/tex] x = y * 3 hrs
[tex]\red{\dashrightarrow} [/tex] x = 3y
And ,
[tex]\blue{\dashrightarrow} [/tex] t = Distance/Speed
[tex]\red{\dashrightarrow} [/tex] t = x ÷ (6y/5)
[tex]\blue{\dashrightarrow} [/tex] t = 5x/6y
[tex]\red{\dashrightarrow} [/tex] t = 5 (3y)/6y
[tex]\blue{\dashrightarrow} [/tex] t = 5/2 hrs
[tex]\red{\dashrightarrow} [/tex] t = 2.5 hrs
Hence now it will take 2.5 hrs to go from A to B .
Answer:
Step-by-step explanation:
Let's say the distance between A and B is 3 miles (3, because I see a need to divide the distance by 3 hours to determine the car's speed). The actual distance makes no difference in the answer, since it is asking for a relative speed change (20%).
We find the speed to be 3 miles/3 hours, or 1 mph. A 20% increase in speed would be (1.20)(1) = 1.20 mph.
We can find the time for a 1.2 mph car to go 3 miles by:
(3 miles)/(1.2 mph) = 2.5 hours
=====
[Note that if we assumed a different distance, say 6 miles, we'd get the same result:
6 miles/3 hours = 2 mph
1.2*2 = 2.4 mph
New time = 6/2.4 = 2.5 hours; same as before]
-2/7 × 9.75 what is answer
Answers
Answer:
-2.78
Step-by-step explanation:
You first divide and then multiply.
SOSSSS:
Find all the values of x between 0 and 4 for which 3 cos(2x - 1) = 2
Answers
Answer:
0.29 π(52.5°)
Step-by-step explanation: here is the explanation
How many solutions does this system have?
y = -6x - 5
-2y +7 = 12x
A.
One Solution
B.
Two Solutions
C.
No Solutions ***** (what i think)
D.
Infinitely Many Solutions
Answers
A system of equation may have one, zero or infinitely many solutions
The system of equation has no solutions
The systems of equation are given as:
[tex]y = -6x - 5[/tex]
[tex]-2y +7 = 12x[/tex]
Substitute -6x - 5 for y in [tex]-2y +7 = 12x[/tex]
[tex]-2(-6x - 5) +7 = 12x[/tex]
Open brackets
[tex]12x + 10 +7 = 12x[/tex]
[tex]12x + 17 = 12x[/tex]
Subtract 12x from both sides of the equation
[tex]17 = 0[/tex]
The above equation is not true i.e.[tex]17 \ne 0[/tex]
Hence, the system of equation has no solutions
Read more about solutions of equations at:
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Logan has an automatic hummingbird feeder in his backyard. He fills it to its capacity, 10 fluid ounces. Each day, it releases 1 fluid ounce of nectar.
Write an equation that shows how the number of fluid ounces of nectar remaining, y, depends on the number of days since Logan filled it, x.
Answers
Answer:
-1x+10
Step-by-step explanation:
The equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is:
y = 10 - x.
The relationship between the number of fluid ounces of nectar remaining (y) and the number of days since Logan filled the hummingbird feeder (x) can be represented using a linear equation.
Initially, when Logan fills the hummingbird feeder to its capacity of 10 fluid ounces, the nectar remaining is 10 fluid ounces.
As each day passes, 1 fluid ounce of nectar is released.
Therefore, the equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is: y = 10 - x.
Here's an explanation of each component of the equation:
y: This represents the number of fluid ounces of nectar remaining.
As the days pass, this value will decrease as nectar is released.
10: This is the initial amount of nectar in the feeder when Logan fills it to its capacity of 10 fluid ounces.
x: This represents the number of days that have passed since Logan filled the feeder.
Each day, the amount of nectar decreases by 1 fluid ounce, hence the subtraction of "x."
This equation forms a linear relationship where the nectar remaining decreases by 1 fluid ounce for each day that passes.
To learn more on equation click:
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#SPJ3
4. Prove or disprove the following statement: Given two numbers, increasing both numbers by 10% results in two numbers whose difference is the same as the difference of the two original numbers. Give a numerical example and explain.
Answers
Step-by-step explanation:
increase by 10% is the same as multiplying by 1.1.
so, we get the assumption that
x - y = 1.1x - 1.1y = 1.1(x - y)
for the case that x <> y, now we can divide both sides by (x - y) and get
1 = 1.1
and that is wrong in all cases.
so, it is disproven for all x <> y.
for x = y the statement is true, the difference is in both cases 0.
e.g.
100 and 200
the difference is 100
100+10% = 110
200+10% = 220
and the difference is 110 (different to the original 100).
but 100 and 100, sure, the difference is 0, and the difference between 110 and 110 is still 0.
adding a % to a number means the size of the added part depends on the size of the basic number. the same % of a larger number is larger than the same % of a smaller number. therefore, the distance grows.
Find the area of the shape shown below.
2 2 2 2 6
Answers
Answer:
12 units squared
Step-by-step explanation:
This requires a 3-step solution.
1. The triangle on the left:
To get an area for a triangle, you do: base times height divided by 2.
You get 4/2, which is 2 units squared for the first triangle.
2. The square:
Pretty easy, it is 2 x 2 which is 4.
3. The last triangle:
Same thing as the first triangle, 2 x 6 divided by 2.
You get 12/2 which is 6.
To get the final area: You add them up.
2 + 4 + 6, which is 12.
what is a fraction between 2/3 and 4/7
Answers
Answer:
3/5
Step-by-step explanation:
it is between 2/3 and 4/7
Help help help math math
Answers
Answer:
x = 11
Step-by-step explanation:
Lines are parallel. 5x + 10 and 10x + 5 are supplements of each other.
Move 5x+ 10 to the corresponding position on the figure. It will be next to 10x + 5 and form a linear pair with 10x + 5. A linear pair form a straight angle or two supplementary angles. Supplementary angles = 180°
Therefore 5x +10 + 10x + 5 = 180°
15x + 15 = 180°
15x = 180 - 15
15x = 165
x = 11
Cushman Company had $842,000 in sales, sales discounts of $12,630, sales returns and allowances of $18,945, cost of goods sold of $399,950, and $289,650 in operating expenses. Gross profit equals:
Answers
Answer: $120825
Step-by-step explanation:
Add everything up then subtract $842000 by it
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answers
Answer:
y= -4/2x+ -4
Step-by-step explanation:
looked at the graph
Using the graph of f(x) and g(x), where g(x) = f(-x), determine the value of k
10
9
8
g(x)
f(x)
7
6
5
4
4
3
2
0
0
3
5
6
7
8
영
0-1
-4
ANSWERS:
4
1/4
-1/4
-4
Answers
Answer:
45
Step-by-step explanation:
(f+g)(x)
f(x)= x-3, g(x)= 2x+8
PLEASE HELP
If you help You’ll automatically be my favorite person ever
Answers
Answer:
Put one point on -4 on the Y-axis (bottom middle) and one at (-2,2)
Answer ?? It’s multiplicity
Answers
help me please guys im being times and trying to get this done fast!
Answers
Answer:
C.
Step-by-step explanation:
You're trying to figure out how many more hours he needs to work in order to have worked for 240 hours.
What is the inverse of y=5x-5
Answers
Answer:the answer is in the picture below
Step-by-step explanation:plz give brainlist
5. Find cos 0 if sin 0= -12/13
and tan 0 > 0.
Answers
Answer:
-512
Step-by-step explanation:
Simplify: 5 + p > 3
A.p < 8
B.p > 8
C.p < - 2
D.p > - 2
Answers
Answer:
D) p > -2
Step-by-step explanation:
5 + p > 3
5 + p - 5 > 3 - 5
p > -2
Step by step
What is the number ten written in base 2?
Answers
In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. To the nearest 100 people, what was the population in 2020? help im about to die
Answers
Answer:
242, 900 people
Step-by-step explanation:
To begin, it says that the population grew by 5%.
(241000)(1.00 + 0.05) = population of the city in 2015
(241000)(1.05) = 253050
253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.
(253050)(1.00 - 0.04) = population of the city in 2020
(253050)(0.96) = 242928
242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.
Therefore, the answer would be 242, 900 people.
ALGEBRA Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%. During the monthly billing cycle, Ben charged $238.75, made a payment of $300.00, and had a finance charge of $7.99. Find his unpaid balance, previous balance, and new balance.
Answers
The new balance is a credit of $ 48.78.
Since Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%, and during the monthly billing cycle, Ben charged $ 238.75, made a payment of $ 300.00, and had a finance charge of $ 7.99, to find his new balance, the following calculations must be performed:
Finance charge + new purchases + previous balance - payments = X 238.75 x 1.01875 + 7.99 - 300 = X 243.22 + 7.99 - 300 = X 251.21 - 300 = X -48.78 = X
Therefore, the new balance is a credit of $ 48.78.
Learn more about maths in https://brainly.com/question/3554632
Example of binomial to polynomial
With a complete solution
Answers
Answer:
A binomial is an algebraic expression that has two non zero terms .eg. b¾+c/3 is a binomial in two variables b and c .
A polynomial is an expression that consists of variables (or indeterminate) terms , exponents and constants eg, 3x (SQUARED) minus 2xminus 10 is a polynomial.
Complete the following sentence (select all that apply). The expected count of females who are not pierced is what we would expect to see in the sample if ___________________________. Group of answer choices gender and piercing were significantly related. gender and piercing are independent. the null hypothesis is true. the null hypothesis is not true.
Answers
The statement that completes the blank is (c) the null hypothesis is true.
In sampling techniques, the expected count of a variable is dependent on the null hypothesis.
This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.
This in other words, means that the complete statement is:
The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.
Read more about null hypothesis at:
https://brainly.com/question/25339965
Is 3x - y = -6 an equation for this graph? EXPLAIN how you know. Hint: try a test point like the the y-intercept to see if it makes a true statement.
Answers
You didn't provide any graphs.
Which of the following points lie in the solution set to the following system of inequalities?
y > -3x + 3
y > x + 2
(2, -5)
(-2, 5)
(2, 5)
(-2, -5)
Answers
Answer:
(2,5)
Step-by-step explanation:
it's the only one that fits
Answer:
(2, 5)
Step-by-step explanation:
Solve 2/5 - 1/7
Help pls this is timed!!!!
Answers
Answer:
9/35
Step-by-step explanation:
Answer:
9/35
Step-by-step explanation:
ok so find the lcm of 2/5 and 1/7: this is 35
then convert them
2/5 = 14/35
1/7 = 5/35
14/35 - 5/35 is 9/35
23+4⋅2−7
the 23 is 2 to the third power.
Answers
Answer:
12618
Step-by-step explanation:
23x23x23=12617
4•2=8
12617+8=12625
12625-7=12618
Answer: 9
Step-by-step explanation:
The correct answer to [tex]2^{3} + 4[/tex] ⋅ [tex]2 - 7 = 9[/tex]
I hope that helps :)
Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.
As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.
At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:
"I wisht they'd strike game somewheres, an' go away an' leave us alone."
"They do get on the nerves horrible," Henry sympathized.
They spoke no more until camp was made.
The introductory paragraph to this section of text starts with breakfast and ends with the setting of Arctic sun. How does this short paragraph add to the conflict in the story? (5 points)
It suggests time is running out before the story even begins.
It suggests the cold will only increase in the coming days.
It suggests the days are intense but beautiful.
It suggests the characters do not get far during the short days. I AM GIVING 100 POINTS!!!
Answers
Answer:
It suggests the days are intense but beautiful.
Step-by-step explanation:
According to the introductory paragraph that starts with breakfast and ends with the setting of Arctic sun. This short paragraph adds to the conflict in the story because It suggests the days are intense but beautiful.
Although the question is incomplete, i can infer that the story you are referring to is White Fang by Jack London, where the story is told of the people talking about events happening around them.
They talk about the sun and the work around them and also the cold. How thsir short conversation added to the conflict in the story is that It suggests the days are intense but beautiful
HELLLP ME I GIVE BRAINLIESST
The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answers
62-14=2x
48=2x
48/2=x
24 answer: 24
Answer:
each pass costs $26
Step-by-step explanation:
12 + 2x = 64
-12 -12
-------------------
2x = 52
x=26
hope this helps! :D
have a miraculous day everybody!!
brainliest is immensely appreciated!!! <3
True or false: 1-51 = -5?
Answers
Answer:
False
Step-by-step explanation:
Absolute value gives you a positive answer
Answer:
False
Step-by-step explanation:
The left side
− 50 does not equal to the right side − 5 , which means that the given statement is false.