Answers
Answer:
[tex]\sqrt{49 - x^{2}}[/tex]
Step-by-step explanation:
Pythagorean theorem [tex]c^{2} = a^{2} + b^{2}[/tex] Then:
[tex]7^{2} = x^{2} + y^{2}\\y^{2} = 7^{2} - x^{2}\\y^{2} = 49 - x^{2}\\y = \sqrt{49 - x^{2}}[/tex]
the lenght of the third side = [tex]\sqrt{49 - x^{2}}[/tex]
Ф = [tex]sin^{-1} (\frac{x}{7} )[/tex]
Ф = [tex]cos^{-1} (\frac{y}{7} )[/tex]
Ф = [tex]tan^{-1} (\frac{x}{y} )[/tex]
Related Questions
Ndiba left the hardware store and drove toward the train station. Willie left one hour later driving 10 mph faster in an effort to catch up to him. After three hours Willie finally caught up. What was Ndiba's average speed?
Answers
[tex]\boxed{\sf Distance=Speed(Time)}[/tex]
Let
Ndibas speed be xWillies speed=x+10Both travelled same distance
[tex]\\ \sf\longmapsto 4x=3(x+10)[/tex]
[tex]\\ \sf\longmapsto 4x=3x+30[/tex]
[tex]\\ \sf\longmapsto x=30mph[/tex]
Mitchell buys a $1,400 dryer with an installment plan that requires 17% down. How much is the down payment?
Answers
The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238
Given:
Total cost of dryer = $1,400
down payment percentage = 17%
Amount paid for down payment = 17% of $1,400
= 17/100 × 1400
= 0.17 × 1400
= $238
Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238
Learn more about percentage:
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what is the slope of the line ?
Answers
Answer:
The slope is 3/4 or 0.75.
Step-by-step explanation:
Let's take two points on a line. (-3,2) and (1,-1).
Now, determine the rise and run.
Rise: 3 Run: 4Slope = Rise/Run
=> 3/4Conclusion:
Therefore, the slope is 3/4 or 0.75.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
List the ordered pairs
Here are the choices
Answers
Last week the number of bacteria in a petri dish was 2.25×
×
102
10
2
. This week the number of bacteria in the petri dish is 2.75×
×
105
10
5
. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
Answers
Answer:
1221.2 factor increase
Step-by-step explanation:
It is difficult interpreting the numbers. I'll assume:
2.25x10^2 and 2.75x10^5
----
225
275000
The difference(increase) is 274775, or 2.75 x 10^5 to 3 sig figs
There is a (2.75 x 10^5)/(2.25x10^2) or 1221.2 factor increase in bacteria between the two weeks.
What is the product of ( 4 + 3 i ) and ( 12 − 2 i )
Answers
Answer:
54 + 28i
Step-by-step explanation:
I hope this helps!!!
Which object has the most kinetic energy?
A. A motorcycle traveling 26 km/h
B. A car traveling 25 km/h
C. A bicycle traveling 18 km/h
O D. A dump truck waiting at a stoplight
Answers
Answer: The answer is B, a car traveling 25 km/h.
Jane drew a scale drawing of a city park. She used the scale 3 centimeters : 4 meters. The soccer field is 108 meters long in real life. How long is the field in the drawing?
Answers
The length of the field in the drawing is 81 cm
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Scale of the drawing : Length in meters is in the ration 3 cm : 4 m
Length of the soccer field is 108 m
Now , length of 108 m soccer field in scale of drawing = x
From proportion formula , we can deduce that
3 : 4 : : x : 108
So ,
3/4 = x/108
Multiply by 108 on both sides , we get
( 3 x 108 ) / 4 = x
x = 3 x 27 cm
x = 81 cm
Hence , length of the field in the drawing is 81 cm
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Which statement is true about the function f(x)=(1/3)^x and g(x)=3^-x?
a. The function have the same graph
b. The graph of the function is not the same
c. The graph of the function is not exponential
Answers
Which is NOT a line of symmetry?
1
2
3
4
5
Answers
Answer:
where's the line?
Step-by-step explanation:
add a line next time
Juan has 20 books to sell. He sells the books for $15 each.
The amount of money Juan makes from selling x books is represented by the equation y=15x
y
=
15
x
What is the theoretical range of the equation?
Question 2 options:
All multiples of 20 between 0 and 300, inclusive
All integers from 0 to 20, inclusive
All multiples of 15 between 0 and 300, inclusive
All real numbers
Answers
Answer:
Well u would multiply 20 x 15 to find out the highest if the range which is 300 . So that knocks it down to B or D. But since they're $15 each, It would be based of the multiples of 15 making your answer B .
The range is all the y values.....or the f(x) values .
So the practical range would be the multiples of 15 between 0 and 300,Inclusive .
Hope this helps you!!simplify the radical 99
Answers
Step-by-step explanation:
The square root of 99 is 99½ in the exponential form and 3√11 in its simplest radical form.
explain how 984/616=123/77
Answers
And you get
984/616
Hope this helps!
Brainliest is much appreciated!
Answer:
984/616 is equal to 123/77 because it is simplified, also meaning reduced by finding the GCF (greatest common factor), which in this case is 8. So therefore, when you divide the numerator of 984 by 8, you get 123, and when you divide the denominator of 616 by 8 as well, you will get 77.
Find e and d
3e+d=8
2e+d=8
Answers
Answer:
Step-by-step explanation:
2e+d=8
Multiply the second equation by -1
You get
-3e-d=-8
Use eliminating methods
-3e-d=-8
2e+d=8
We get
-e=0
So e=0
Find e by substitute it in one of the equation
2*0+d=8
D
d=8
Write the algebraic expression to represent the following:
'Twenty more than twice a number .'
Answers
Answer:
2x + 20
Step-by-step explanation:
20 + 2x
can someone help me with this
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Question 1 : [tex] \sf \sqrt{5 {}^{9} } [/tex][tex] \sf{(5 {}^{9} ) }^{ \frac{1}{2} } [/tex][tex] \sf {5}^{ \frac{9}{2} } [/tex]Question 2 : [tex] \sf \dfrac{1}{ \sqrt[3]{12} } [/tex][tex] \sf \dfrac{1}{12 {}^{ \frac{1}{3} } } [/tex][tex] 12 {}^{ - \frac{1}{3} } [/tex]please help i cant figure out the accurate answer i beg and i will mark brainlist
Answers
Answer:
D
Step-by-step explanation:
50-40=10
8-39=-31
-31/10=-3.1
So the answer is D.
Hope this helped! :)
A scientist evaluated the local deer population. The scientist found that there were 100 deer in all, 15% of which were juveniles. How many juveniles were there in the local deer population?
Answers
Answer:
this is easy 100% in this case equals 100 so 15 Juveniles equals 15%
Step-by-step explanation:
What is 5 x 3/4 in fraction
Answers
Answer:
3 and 3/4
Step-by-step explanation:
Just ask.
(✿◡‿◡) HAPPY HOLIDAYS!!!
Answer:
15/4 in fraction and 3 3/4 in mixed number.
Step-by-step explanation:
Finding gradients and intercepts
Write down the gradient and intercept of these lines:
Q1.
Y = 10x + 6
gradient =
intercept =
Q2.
y = 2 - 2x
gradient =
intercept=
Answers
Answer:
gradient 10, intercept 6gradient -2, intercept 2Step-by-step explanation:
The "gradient" is the coefficient of x. The "intercept" is the constant.
__
Q1gradient: 10
intercept: 6
__
Q2gradient: -2
intercept: 2
Q1.
For the line equation Y = 10x + 6:
The gradient is the coefficient of x, which is 10.
The intercept is the constant term, which is 6.
Q2.
For the line equation y = 2 - 2x:
The gradient is the coefficient of x, which is -2.
The intercept is the constant term, which is 2.
Learn more about line equation here:
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Marta bought c CDs for $ 12 each, b books for $ 7 each, and a bag for $ 24 to.
Write an expression to show the total money Marta spent.
If Marta bought 4 CDs and 3 books, how much did she spend?
Answers
Answer:
A, 12c + 7b + 24
B, $69
Step-by-step explanation:
Please, read my picture Thanks! Also tell me if its right in the comment
4 * 12 + 3 * 7 + 24 = m
m represents how much money Marta spent
48 + 21 + 24 = m
69 + 24 = m
$93 = m
subtract:-
-5/12 from 2
Answers
2 5/12 or 29/12
hope it helps ?
study well:)
Answer: Deopends. See below.
Step-by-step explanation:
-5/12 from 2
The question is poorly worded. Is it asking us to subtract -5/12 from 2? Or are we being asked to subtract 5/12 from 2?
Assuming the first:
2 - (-5/12)
2 + 5/12
2 5/12 or 24/12 + 5/12 = 29/12
Assuming the second:
2 -5/12
24/12 - 5/12
19/12
Line c passes through points (9, 10) and (1, 3). Line d is perpendicular to c. What is the slope
of line d?
Answers
Answer:
-8/7
Step-by-step explanation:
First, find the slope of line c.
(x1, y1) = (9, 10)
(x2, y2) = (1, 3)
The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Solve for the slope using the given values:
[tex]m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}[/tex]
The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.
In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.
Answer:
slope = - [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
Calculate the slope m of line c using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )
m = [tex]\frac{3-10}{1-9}[/tex] = [tex]\frac{-7}{-8}[/tex] = [tex]\frac{7}{8}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{7}{8} }[/tex] = - [tex]\frac{8}{7}[/tex] ← slope of line d
Please help worth 20 points
Answers
Answer:
Try going on D.e.s.m.o.s.c.o.m it worked for me when I had something like this
Step-by-step explanation:
GURL POWER
9th grade math please help will give brainliest !!!
Answers
Answer:
48 g - 40 h + 64
Step-by-step explanation:
you take the 8 and multiply it by the numbers that are in the paraentheses. keep the variables the same
What is 1+1 because it's obvious that it's 3!!! Duh!!! So hehe
Answers
Answer:
IT'S TWOOOOOOOOOOOOOOOO 222222222222222
i need help with this!!
Answers
Answer:
12
Step-by-step explanation:
So Josh is 6 years older than kims age and the sum of the ages is less than 31, the greatest number that is less than 31 is 30 so we can use that.
We can make an equation out of this and solve it.
n+(n+6)=30
2n+6=30
2n=24
n=12
12 is the oldest Kim could be.
12+(12+6)=12+18=30.
Find the equation of the line perpendicular to y=(1/2)x+3, that passes through the point (2,-1).
Answers
Answer:
i believe that the answer is y= -1/2 +3.
the data set represents the total number of tickets each person purchased for a play. 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 what is the median of the data? 1 1.5 2 2.5
Answers
The median of the data 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 is 1.5
There are three measures of central dispersion:
Mean: This is the average of the given data in the distribution.Median: It is the middle value of the set when the set is either arranged in ascending or descending order.Mode: This is the value that has the largest occurrence in the distribution.Given:
0, 0, 1, 1, 1, 2, 2, 2, 4, 4
The are 10 values in the data
So, we have two middle values: 1 and 2
Median = (1 + 2) / 2
= 3/2
= 1.5
Therefore, the median of the data 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 is 1.5
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Answer:
= 1.5
Step-by-step explanation:
During her vacation, Leslie traveled 578.78 miles in 3 days.
On the first day, she traveled 197.07 miles, and on the second day, she traveled 187.11 miles. how many did she travel the 3rd day?
Answers
Answer:
I think the answer is 194.6 miles on the third day
Step-by-step explanation: