Answers
Answer:
[tex] \fbox{x = 4.2} [/tex]
Explanation:
Using the pythangorean theorem
[a² + b² = c²], we can solve enough sides to find the proportion because both triangles are right triangles or have a 90° right angle.
Given the lengths of side a and c (the hypotenuse), we can rearrange the pythangorean theorem to solve for b.
a² + b² = c² → a² – a² + b² = c² – a² →
b² = c² – a² → b = √(c² – a²).
We are also given the hypotenuse or the side c of both triangle which are 5 to 7, which is the proportion between the triangles. We also know they are similar because they have one congruent angle and a right angle, thus the third angle must be the same. Therefore the bigger triangle has sides that are 7/5 longer than the smaller triangle. So b of the smaller triangle = √(5² – 4²) = √(25 – 16) = √9 = 3.
Now we know the sides of the smaller triangle:
a = 3
b = 4
c = 5
______
Now the only thing we have to do is match the corresponding sides, and multiply by 7/5.
This means that the sides of the bigger triangle are:
a = 3 × 7/5 = 21/5 = 4.2
b = 4 × 7/5 = 28/5 = 5.6
c = 5 × 7/5 = 7
______________
Each angle corresponds to the side opposite or across from it. Since side a is across from the congruent pair of angles we are given, the a of the bigger triangle must be x which means that x = a = 4.2.
Related Questions
True or False
The point (-2, -1) is a solution to the inequality x - y < 0.
True
False
PLEASE PLEASE PLEASE HELP!!!
Answers
Answer:
True
Step-by-step explanation:
Plug in the point:
-2-(-1)=-2+1=-1<0.
This is a true statement
Find the first 5 terms of 6n+2
Answers
Answer:
2, 8, 14, 20, 26
Step-by-step explanation:
At n=0
2 x 0 +2=2
At n=1
6 x 1 +2=8
At n=2
6 x 2 +2 = 14
At n=3
6 x 3 +2 = 20
At n=4
6 x 4 +2 = 26
Does 1.414213562 round to the nearest tenth.
Answers
Hey there!
Yes, it does. It rounds to 1.4.
1.414213562 rounded to the nearest tenth is 1.4, since the next number is less than 5, the 4 stays the same. If the next number was a 5 or greater, it would be 1.5, instead of 1.4.
Hope this helps! Good luck and have great day!
Answer:
If I'm not.mistaken.I do believe the answer is 1.5
Try It!
» 3. Write the equation in slope-intercept form of the line that passes through
the points (5, 4) and (-1, 6).
Answers
Answer:
y=-1/3x + 17/3
Step-by-step explanation:
Just follow the slope-intercept form formula-
Formula: y=mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Let me know if you have any questions, hope this helps! (:
Here is a shape on a square grid.
For the statement below, tick True or False.
The shape has four obtuse angles.
O True
O False
Answers
Answer:
True isjeididnciensucnfnduf
Answer:
False
Step-by-step explanation:
There are 40 students in the class. 15 of them likes to study English, 1/4 of the students likes to study mathematics and the remaining students likes to study science. What fraction of students likes to study English
Answers
Explanation:
1. The original fraction is 15/40
2. Find the greatest common factor (GCF) of the numerator and the denominator (in this case it's 5)
3. Then divide both the numerator (15) and the denominator (40) by the GCF (5) to simplify the fraction.
15÷5=3
40÷5=8
Use the distributive property to expand the expression (8x + 3y) - (5z + 3)
Answers
Answer:
8x+3y-5z-3
Step-by-step explanation:
8x+3y-5z-3
Just multiply the second parenthesis with the minus for your answer.
8x + 3y - 5z - 3
determine whether the triangles are similar by aa , ss , or sas ??
Answers
Answer:
1. AA
2. SSS
3. I´m not sure about this one, I´m sorry
4. Not similar
Step-by-step explanation:
This photo can help you identify!! I hope this helps
Which expression can be used to find the total cost of 4 bags of apples at $3.30 per bag and 6 candy bars at $1.25 each? *
4(1.25) + 6(3.3)
10(3.3)
4(3.30) + 6(1.25)
4(3.30) - 6(1.25)
Answers
Answer:
a
Step-by-step explanation:
Answer:
4(3.30)+ 6(1.25)
Step-by-step explanation:
because you would multiply 4 and 3.30 and 6 ×1.25 :)
what is the slope of the line that contains points (3,-9) and (-2,16)
Answers
Hope this helps
Have a great day/night
What is the equation of the line that passes through the point (5, -2)
and has a slope of 6/5
Answers
Answer:
y + 2 = ⁶/₅(x - 5) {the point-slope form of the equation}
y = ⁶/₅x - 8 {the slope-intercept form of the equation}
6x - 5y = 40 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = ⁶/₅
(5, -2) ⇒ x₀ = 5, y₀ = -2
So, the point-slope form of the equation:
y + 2 = ⁶/₅(x - 5)
Therefore:
y + 2 = ⁶/₅x - 6 {subtract 2 from both sides}
y = ⁶/₅x - 8 ← the slope-intercept form of the equation
-⁶/₅x + y = - 8 {multiply both sides by (-5)}
6x - 5y = 40 ← the standard form of the equation
Which expression has a value of 507
O A. 2x52
B. 2 x 55
C. 5 x 52
D. 5x25
Answers
Answer:
.............,...........,.......................... ans is b
calculate the average rate of change of the function y= ½x² - 1 over the interval -2 ≤ x ≤ 0
Answers
Answer: The average rate of change of the function in that interval is r = -1
Step-by-step explanation:
When we have a function f(x), the average rate of change in an interval:
a ≤ x ≤ b
Is calculated as:
[tex]rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case, the function is:
y = f(x) = (1/2)*x^2 - 1
And the interval is:
-2 ≤ x ≤ 0
Then the rate of change will be:
[tex]rate = \frac{f(0) - f(-2)}{0 -(-2)} = \frac{((1/2)*(0)^2 - 1) -((1/2)(-2)^2 - 1)}{2} = \frac{-2}{2} = -1[/tex]
The average rate of change of that function in that interval is r = -1
Given that B is the midpoint of segment AC, find the unknown values.
7.
X=
AB=
2X-8
x + 17
А
B
с
BC =
AC =
can someone please help me with this question and show work and steps to this math geometry question?? PLEASE
Answers
2x-8 = x+17
1x-8 = 17
1x = 25
x = 25
in order to find ab, you plug in the x into the expression.
ab = 2x-8
ab = 2(25)-8
ab = 42
do the same for bc:
bc = x + 17
bc = 25 + 17
bc = 42
and for ac, combine the two expressions and plug in the value for x.
ac = ab + bc
ac = 2x-8 + x+17
ac = 2(25)-8 + 25+17
ac = 84
i hope this helped! have a good day/night :)
Simplify the expression.
- (- - )
-5/8(-3/8-1/4)
Answers
Step-by-step explanation:
Answer:
The answer is 25/64
Step-by-step explanation:
HELP ! PROBABILITY !
Easy
Answers
Answer:
The probability is zero
Step-by-step explanation:
Probability
There are 3 white counters and 2 black counters in a bag. One of them is chosen at random.
It's required to calculate the probability that a green counter has been chosen.
The probability of an outcome is defined as the frequency of the number of times the outcome occurs relative to the number of times that it could have occurred.
The equation to calculate the probability is:
[tex]P=\frac{f}{n}[/tex]
Where f is the number of favorable cases and n is the total cases.
Since there are no green counters in the bag, it's impossible to choose a green counter, thus f=0 out of n=5 total cases:
[tex]P=\frac{0}{5}[/tex]
P = 0
We have put the cross in the mark 0 on the probability scale below
Answer:
0Step-by-step explanation:
The 200 students in a school band will attend and awards dinner. A random survey of 25 of these students was conducted to determine how many of each meal should be prepared for the dinner. The result of the survey are shown
•12 students want a beef meal
•8 students want a chicken meal
•5 students want a pasta meal
Based on the survey results,which of these is the best prediction of the meals wanted by the 200 students
A there are 16 students who want a beef meal
B There are 52 students who want either a chicken meal or a pasta meal
C There are 32 more students who want a beef meal than want a chicken meal
D There are 24 more students who want a pasta meal than want a chicken meal
Answers
200/25 = 8
12 x 8 = 96
8 x 8 = 64
5 x 8 = 40
& 96 - 64 = 32
For the function f (x) = 3 (x + 7), find -1().
Answers
Given:
The function is [tex]f(x)=3(x+7)^{\frac{1}{4}}[/tex].
To find:
The function [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=3(x+7)^{\frac{1}{4}}[/tex]
Substitute f(x)=y.
[tex]y=3(x+7)^{\frac{1}{4}}[/tex]
Interchange x and y.
[tex]x=3(y+7)^{\frac{1}{4}}[/tex]
Divide both sides by 3.
[tex]\dfrac{x}{3}=(y+7)^{\frac{1}{4}}[/tex]
Taking power 4 on both sides.
[tex]\left(\dfrac{x}{3}\right)^4=y+7[/tex]
Subtract 7 from both sides.
[tex]\left(\dfrac{x}{3}\right)^4-7=y[/tex]
[tex]y=\left(\dfrac{x}{3}\right)^4-7[/tex]
Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7[/tex]
Therefore, the correct option is C.
what is the perimeter?
Answers
Answer:
14
Step-by-step explanation:
because the side length are 5 and 5 and 4 which is 14.
plz mark the brainliest
can someone help me find the relative maximum and minimum? please i really need help
Answers
9514 1404 393
Answer:
relative maximum: -4relative (and absolute) minimum: -5Step-by-step explanation:
The curve has a relative maximum where values on either side are lower. This looks like a peak in the curve. There is one of those on the y-axis at y = -4.
The relative maximum is -4.
__
A relative minimum is a low point, where the curve is higher on either side. There are two of these, located symmetrically about the y-axis. The minimum appears to be about y = -5. (They might be at x = ± 1, but it is hard to tell.)
The relative minima are -5.
__
A minimum or maximum is absolute if no part of the curve is lower or higher. Here, the minima are absolute, while the maximum is only relative. (The left and right branches of the curve go higher than y=-4.)
_____
Identifying the points on the curve should be the easy part. Deciding what the coordinates are can be harder when the graph is like this one.
a cleaning compony charges 125$ To visit a home. and 40$ to clean each room if the total bill was $365 how many rooms were cleaned
Answers
Answer:
6 rooms were cleaned
Step-by-step explanation:
365-125=240
240/40=6 rooms
PLEASE MARK BRAINLIEST
6 over 35 + 4 over 7= ?
Answers
Answer:
hgfgdfsdfdgfhkjlkjhgfrderftryu
Step-by-step explanation:
Answer:
26/35
Step-by-step explanation:
6/35+4/7
you need to make the second fraction have the same denominator
to do this, you need to do 7 times 5 to make 35
times the numerator by the same
this would mean:
6/35+20/35=26/35
i hope i helped
please mark it as brainliest!!<3
Which inequality describes all the solutions to -5x + 6 < 2(-3 - x)? A. X > 4 B. x < 0 C. x < 4 D. X > -9
Answers
Answer:
x>4
Step-by-step explanation:
-5x+6<2(-3-x)
-5x+6<-6-2x
-5x+6+2x<-6-2x+2x
-3x+6<-6
-3x<-12
The entry ticket to a local football game costs $10 for an adult and $5 for a child. A group of 100 people paid an entry fee of $710. How many adults and how many children were there in this group?
Answers
Answer: Adults = 58
Children = 42
Step-by-step explanation:
Let adults be denoted as a
Let Children be denoted as c
a + c = 100 ...... i
10a + 5c = 710 ...... ii
Multiply I by 5
Multiply ii by 1
5a + 5c = 500 ...... iii
10a + 5c = 710 ...... iv
Subtract iii from iv
5a = 210
a = 210/5
a = 42
Since a + c = 100
c = 100 - 42 = 58.
Adults = 58
Children = 42
.
What is the solution to this equation?
30.16 = 17.56 + 5x
Answers
Answer:
x = 2.52
Step-by-step explanation:
30.16 = 17.56 + 5x
30.16 - 17.56 = 5x
12.6 = 5x
12.6/5 = 5x/5
2.52 = x
. FIRST TO ANSWER GETS BRAINLY
Subtract and reduce to lowest terms:6/9 pluse 4/9
Answers
Answer:
1 1/9
Step-by-step explanation:
I did 6/9 plus 4/9 = 10/9 so you divide 10 by 9 and it will give you 1 and 1/9 hope this is right and helpful
Solve for r.
Ar + By = C
Answers
Answer:
r = (C - By) / A
Step-by-step explanation:
Ar + By = C
_________
-By -By
[Subtract both sides by By (Subtraction poe)]
Ar = C - By
________
(Ar) = (C - By)
[Use parenthesis to group both terms (Associative property of equality)]
________
÷A ÷A
[Divide both sides by A to isolate r so it can be solved (Division poe)]
________
r = (C - By) / A
Identify the vertical asymptotes, horizontal asymptotes, domain, and range of each. Then sketch the graph. f(x)= 2/x +2
Answers
Answer:
Vertical Asymptote at x=0
Horizontal Asymptote at y=2
Domain: x= infinity and x doesn't = 1
Range: y= infinity and y doesn't = 2
Step-by-step explanation:
What is the final elevation if a diver starts at 10 m and changes -6 m
Answers
Answer:
4m
Step-by-step explanation:
10m-6m=4m
a recipe calls for 1.5 cups of sugar for one cake how much sugar would you need to make six cakes
Answers
Answer:
9 Cups
Step-by-step explanation:
Answer:
The answer is 9 cups.
Step-by-step explanation:
You know that you need 1.5 cups for each cake. And you know that you need to make 6 cakes. So you just multiply 1.5 by 6.
1.5*6=9