Answer:
x = 1.25
x = 1.75
Step-by-step explanation:
I marked the points of this triangle in the attached image so it's easier to explain.
ΔABC is similar to ΔADE, and all pairs of corresponding sides are proportional as a result.
[tex]\frac{DE}{BC}=\frac{AD}{AB}=\frac{AE}{AC}[/tex]
The length of the sides BC and DE is given, so I'll start with that and set it equal to the proportion between AB and AD.
[tex]\frac{DE}{BC}=\frac{AD}{AB}\\\\\frac{10}{8}=\frac{x+5}{5}\\\\10\times5=(x+5)\times8\\50=8x+40\\10=8x\\x=1.25[/tex]
Now, you can do the exact same thing for y:
[tex]\frac{DE}{BC}=\frac{AE}{AC}\\\\\frac{10}{8}=\frac{y+7}{7}\\\\10\times7=(y+7)\times8\\70=8y+56\\14=8y\\y=1.75[/tex]
Find 66.9% of 160.6. Round to the nearest thousandth.
Answer:
160 is the answer I just toke the quiz
Find the value of x. Please help me. I can’t find the answer.
Answer:
Step-by-step explanation:
The two sides opposite the angles marked as equal are themselves equal
4x + 8 = 48 - x Add x to both sides
4x + x + 8 = 48 Combine
5x + 8 = 48 Subtract 8 from both sides.
5x + 8 - 8 = 48 - 8 Combine
5x = 40 Divide by 5
5x/5 = 40/5
x = 8
can sommeone help solve equation
Step-by-step explanation:
3x + 10 < 3
3x + 7 < 0
3x < -7
x < -7/3 = -2.3333...
or
2x - 5 >= 5
2x >= 10
x >= 5
x < -7/3 or x >= 5
can anyone please help?
Answer:
-1 or 1.
Step-by-step explanation:i hope thats what your looking for.
Adrian purchases a book for $4.86 and a poster for $3.44. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)
Answer:
$6.70
Step-by-step explanation:
Adrian purchases a book for 4.86 and a poster for 3.44
The total amount he owes would be 4.86 + 3.44 = $8.30
If she gives the cashier 15 dollars she should receive 15 - 8.30 = $6.70 back.
Idrissa collected pennies in a fundraiser. He measured the mass of all the pennies he collected to be2,400 grams. Two pennies put together have a mass of 5 grams. How much money did Idrissa raise in
this fundraiser?
The total amount of pennies Idrissa raised in this fundraiser is = 960 pennies
The total mass of all the pennies = 2,400g
But two (2) pennies = 5g
Therefore, to calculate the total amount of pennies Idrissa raised you cross multiply.
That is: 2 pennies = 5g
x pennies = 2,400g
Making x the subject of formula,
[tex] x = \frac{2 \times 2400}{5} [/tex]
[tex]x = \frac{4800}{5} [/tex]
[tex]x = 960[/tex]
Therefore the total amount of pennies Idrissa raised in this fundraiser is = 960 pennies.
Learn more here:
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x+y=5
x-1=y
Please help
Enter the explicit rule for the geometric sequence ...
60, 12, 12/5, 12/25, 12/125
Answer:
an = 60 x 1/5^n-1
Step-by-step explanation:
correct me if i am wrong, but I just learned about this stuff so hopefully this helps. The explicit rule/formula is an = a1 x r^n-1. In this formula, a1 is the first term (60), and r is the common ratio (1/5). Now all that is left to do is to write the equation which would be 60 x 1/5^n-1.
Form 8B were investigating how a metal bar expands while being heated. The bar
was originally 30 cm in length and it expanded to 31.75 cm.
Calculate the percentage increase in length. Give your answer correct to 1 decimal
place.
Answer:
5.8%
Step-by-step explanation:
to work out percentage increase:
(new value - original value) ÷ original value and times it all by 100
((31.75-30) ÷ 30) × 100
=5.8% (1dp)
Find the missing parts of the triangle. Round to the
nearest tenth when necessary or to the nearest minute
as appropriate.
1) C = 105.8°
a = 4.7 km
b = 8.3 km
A) No triangle satisfies the given
conditions.
B) c = 16.4 km, A = 23.2°, B = 51°
C) c = 13.5 km, A = 27.2°, B = 47°
D) c = 10.6 km, A = 25.2°, B = 49°
Answer:
1) C = 105.8°
Step-by-step explanation:
7 1/2- 3 7/10 or Seven and a half subtract three and seven tenths.
Answer:
3.8 is the answer to your problem. Happy Holidays!
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
135
Step-by-step explanation:
bc its the right answer
Answer:
the answer is 138.57 so ur answer would be 135
Step-by-step explanation:
Find the inverse of
Answer:
1/-0.5x
Step-by-step explanation:
1/2 = 0.5
-0.5x = -1/2x
Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x
Hope that helps
i need help final exam will mark brainliest...
Pablo is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. two-part question.
(a) How many calories is Pablo burning per minute?
(b) what is the slope of the graph?
Mai biked 6 3/4 miles today, and Noah bikes 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Answer:
Mai's ride is 1.5 times longer than Noah's
Step-by-step explanation:
Cell phone production engineers have noticed that among a group of 138 customers aged 14-23 who send more text messages tend to use a higher percentage of their phone’s memory.What are the explanatory variable and response variable for this relationship?
Explanatory variable: age of customer
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
Response variable: age of customer
Explanatory variable: number of text messages sent
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
Response variable: number
Answer:
it is c my guy
Step-by-step explanation:
on edge2020
The explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used. The correct answer is (C)
What is the independent and dependent variable?In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.
In this situation, the explanatory variable is the number of text messages sent, because it is believed to influence or "explain" the variation in the response variable, which is the percentage of phone memory used.
The explanatory variable is also sometimes called the independent variable, because it is the variable that is being manipulated or controlled in an experiment. The response variable is also sometimes called the dependent variable, because it is the variable that is believed to depend on the explanatory variable.
Therefore, in this problem, the explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used.
Learn more about the independent and dependent variables here:
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#SPJ2
TA penny is dropped from a height of
196 feet off a bridge. The function
d=-161? + 196 models the distance din
feet the penny is from the surface of the
water at time t seconds. Graph this
function. Then use your graph to estimate
the time it will take for the penny to reach
the water. (Examples 3 and 4) 3.5 sec,
225
200
175
150
125
100
75
50
25
0
1 1 2 3 4 5 6 7 8 9
The penny reaches the water at 3.5 seconds
The height function is given as:
[tex]d = -16t^2 + 196[/tex]
(a) Graph the function
See attachment for the graph of the function
(b) Time to reach the water
From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5
But the time (t) cannot be negative.
Hence, the penny reaches the water at 3.5 seconds
Read more about height functions at:
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Brian buys a computer for £2100.
It depreciates at a rate of 1% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
it will be 1974
Step-by-step explanation:
2100*6/100
=126
Answer:
1997.08 pounds at the beginning of 6 years.
Step-by-step explanation:
If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.
1st year - 2100*.01 = 21
2100-21 = 2079
2nd year - 2079*.01 = 20.79
2079 - 20.79 = 2058.21
3rd year - 2058.21*.01 = 20.58
2058.21-20.58 = 2037.63
4th year - 2037.63*.01 = 20.38
2037.63-20.38 = 2017.25
5th year - 2017.25*.01 = 20.17
2017.25 - 20.17 = 1997.08
6th year - at the beginning of the 6th year, it would be worth 1997.08.
At the end of the 6th year, it would be: 1997.08*.01 = 19.97. 1997.08-19.97 = 1977.11
At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?
Answer:
24
Step-by-step explanation:
$2 divided by 4 equals 50 cents
50 cents per copy
$12 will get you 24 copies
Answer:
24 copies
Step-by-step explanation:
$2 ----- 4 copies
$1 ----- 4 ÷2= 2 copies
$12 ----- 2(12)= 24 copies
Alternatively, we can present our working this way:
For every $2, 4 copies can be made.
Number of sets of $2 in $12
= $12 ÷$2
= 6
Since there are 6 sets of $2 and each set of $2 can make 4 copies,
number of copies
= 6(4)
= 24 copies
Discuss how to convert 15 in. to yd. (need ko po nganon)
Answer:
To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:
Please answer 1 and 2
Will mark brainliest!!!!
Answer:
parallelnot perpendicularStep-by-step explanation:
1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...
m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2
Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...
m = (8 -6)/(4 -0) = 2/4 = 1/2
The slopes of lines P and O are the same, so the lines are parallel.
__
2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...
m = (2 -6)/(2 -0) = -4/2 = -2
Points on line K appear to be (0, 4) and (10, 10). Its slope is ...
m = (10 -4)/(10 -0) = 6/10 = 3/5
If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.
pls pls help i need help
Answer:
3 m/s/s
Step-by-step explanation:
F = ma
28 = 4m
m = 7
m is constant throughout
21 = 7a
a = 3
3 m/s/s
The graph of y = x^2 -2x -3
a) Write down the coordinates of the turning point on the graph of y = x² – 2x - 3
(1)
(b) Use the graph to find the roots of the equation r? - 2x - 3 = 0
Answer:
See below
Step-by-step explanation:
A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).
B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).
...................................
Answer:
tha.nks for the p.oints buddy!
What is 2/3 of 9/12?
Answer:
0.5 in fraction form its 1/2.
Step-by-step explanation: hope this helps you <3.
4.
ind
home
Julio won a contest. His cash prize is given to him in the following way:
On the first day, Julio will receive $0.25.
For each successive day, the amount of money Julio receives doubles.
a. Write an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day.
b. How much money will Julio receive on the tenth day?
Julio will receive $ 128 on the tenth day.
Given that Julio won a contest, and his cash prize is given to him in the following way: On the first day, Julio will receive $ 0.25, and for each successive day, the amount of money Julio receives doubles, to determine an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day, and determine how much money will Julio receive on the tenth day, the following calculations must be performed:
0.25 x 2 ^ D = F 0.25 x 2 ^ 9 = F 0.25 x 512 = F 128 = F
Therefore, Julio will receive $ 128 on the tenth day.
Learn more about maths in https://brainly.com/question/15983813
What would be the inverse function of g(x)=1/x-1 ? Thanks in advance.
Exchanging x and y and isolating y, it is found that the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
The function given is:
[tex]g(x) = y = \frac{1}{x - 1}[/tex]
To find the inverse function, we exchange x and y and isolate y, hence:
[tex]x = \frac{1}{y - 1}[/tex]
[tex]x(y - 1) = 1[/tex]
[tex]xy - x = 1[/tex]
[tex]xy = 1 + x[/tex]
[tex]y = \frac{1 + x}{x}[/tex]
Hence, the inverse function is:
[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]
You can learn more about inverse functions at https://brainly.com/question/16485117
Solve the inequality.
3x + 5
———- <4
2
x < [?]
Answer:
[tex]x \leqslant 1[/tex]
Step-by-step explanation:
first multiply both side by 2 to get rid of the fraction
[tex]3x + 5 \leqslant 4(2)[/tex]
[tex]3x + 5 \leqslant 8[/tex]
[tex]3x \leqslant 8 - 5[/tex]
[tex]3x \leqslant 3[/tex]
[tex]x \leqslant 1 [/tex]
The sum of 6 consecutive integers is 387. What is the sixth number in this sequence.
Answer:
67!
Step-by-step explanation:
A way to look at it is, since the number is 387, it can be broken into 6 parts. 50x6 is about 300. That leaves 87 to be left over. So it's safe to assume each number will be around 50-60, so I started to add up six consecutive numbers together until I reached my final set of numbers to reach 387.
My numbers were 62+63+64+65+66+67=387
I hope this makes sense!
please help finals study guide