Answer:
leg 1= 36 feet
leg2 = 15 feet
Step-by-step explanation:
Hi, we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.
leg1 = x
leg2 = x-21 (21 feet less than the other leg)
Replacing with the values given:
39^2 = x^2 + (x-21)^2
1,521 = x^2 + x^2 -42x +441
0 = 2x^2 -42x +441-1,521
0= 2x^2 -42x -1,080
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a (quadratic formula)
Replacing with the values given:
x=-(-42)± √(-42)²-4(2)-1080] /2(2)
x= 42± √10,404] /4
x = 42± 102 /4
Positive:
x = 42+102 /4 = 36
leg 1= 36
leg2 = 36-21 =15
Feel free to ask for more if needed or if you did not understand something.
The length of shorter leg is 15 feet and other leg is 36 feet.
Pythagoras theorem:Let us consider that, length of shorter leg is x feet.
So that, length of other leg is [tex](x+21)[/tex] feet.
It is given that, the hypotenuse is 39 feet.
Apply Pythagoras theorem,
[tex]x^{2} +(x+21)^{2} =(39)^{2}\\ \\x^{2} +x^{2} +441+42x=1521\\\\2x^{2} +42x-1080=0\\\\x=15 ,-36[/tex]
Since, side can not be negative.
So that, we have to consider x=15 feet.
Length of other leg[tex]=x+21=15+21=36feet[/tex]
Learn more about the Pythagoras theorem here:
https://brainly.com/question/343682
PLEASE HELP ME OUT. THIS IS DUE TODAY.
Answer:
You probably should not.
Step-by-step explanation:
You will be in debt. You can if you are able to pay it off in the future but it's risky.
Help me ASAP please, I really want to finish this
Answer:
C. 1.5 ft
Step-by-step explanation:
Using the Pythagorean theorem:
[tex]x=\sqrt{3.9^2-3.6^2}=\sqrt{15.21-12.96}=\sqrt{2.25}=1.5[/tex]
Hope this helps!
I agree with the answer above it's 1.5 ft which is C.
:D
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6
Answer:
D. g(x) = (x + 4)2 + 6
Step-by-step explanation:
I just took the test and this was the correct answer
Need help on this worksheet
Answer:
1. $1650
2. $1415.52
3. $5540
4. No
5. 145
6. No
Step-by-step explanation:
1. 2230 - 580
2. 157.28 x 9
3. 6630 - 1090
4.
5. 725 - 580
Hope this helps!
I need help due today online school sucks I only need the answer to 6 and 7
Answer:
6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,
30 glasses = x6
45 glasses = x 9
60 glasses = x 12
75 glasses = x15
= 30, 45, 60,75
But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n then 55 = 11n and stands out as 11 boxes as an offset amount of glasses where 5 are in each box.
7. Robert is incorrect as 25 x 5 = 125 and not 120
as 120 and 125 glasses can be divided to check
125/25 = 5 and could be correct if he wanted spare glasses = 1 spare box.
But when we check 120/25 = 4.8 so this would be too many boxes as he would only need 24 boxes.
24 x 5 = 120 glasses.
Step-by-step explanation:
Find the value of x that makes line m parallel to line
n.
(4x - 23)
n
{
(2x + 17)
Answer:
20
Step-by-step explanation:
If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.
Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:
4x - 23 = 2x + 17
Subtract 2x from both sides and add 23 to both sides:
2x = 23 + 17 = 40
Divide by 2:
x = 40/2 = 20
The answer is thus 20.
~ an aesthetics lover
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.
[tex]4x-23=2x+17[/tex]
[tex]4x-23+23=2x+17+23[/tex]
[tex]4x=2x+40[/tex]
[tex]4x-2x=2x+40-2x[/tex]
[tex]2x=40[/tex]
[tex]\frac{2x}{2}=\frac{40}{2}[/tex]
[tex]x=20[/tex]
Determine which sequence is an arithmetic sequence.
Question 18 options:
a)
–7, –3, 1, 5, ...
b)
15, 17,19, 111, ...
c)
−10, 5, −52, 54, ...
d)
3, 6, 12, 24, ...
Answer: A
Step-by-step explanation: An arithmetic sequence is a pattern in which the same number is repeatedly added or subtracted.
Notice that in the the first sequence shown, we add 4 to reach the next term in the sequence which means this is arithmetic.
The others are not arithmetic because the difference
between the terms does not remain constant.
Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.
q = 5
q = -5
q = 3
q = -3
q = 25
Answer:
Step-by-step explanation:
your equation shown above is set up incorrectly in order to solve this i need the right equation you must plug in each number to q to find the right solution
Answer: q=[tex]5\sqrt{5} , -5\sqrt{5}[/tex]
Step-by-step explanation:
the roots (zeros) are the x values where the graph intersects the x-axis. to find the roots (zeros) , replace y with 0 and solve for x.
What's the distance between - 14 and -5 on a number line?
A) 34
B) 11.7
D) 68
Question 15 (5 points)
Answer:
9
Step-by-step explanation:
Take -14 minus -5
-14 - (-5) Distribute the negative to -5
-14 + 5 Add
-9 Since distance can't be negative take the absolute value of -9
|-9| = 9
Answer:
the distance is 9
Step-by-step explanation:
its 9 because 14-5 = the distance of them on a number line
Solve for x.
x/3 ≤ −6
x≤−18
x≤−2
x≥−18
x≥−2
Answer:
-The value of [tex]x[/tex]:
[tex]x \leq -18[/tex]
Step-by-step explanation:
-Solve the inequality for [tex]x[/tex]:
[tex]\frac{x}{3} \leq -6[/tex]
-Multiply both sides by the denominator, which [tex]3[/tex]:
[tex]3 \times \frac{x}{3} \leq -6 \times 3[/tex]
[tex]x \leq -18[/tex]
So, the final answer would be [tex]x \leq -18[/tex].
Answer:
[tex]x \leqslant - 18[/tex]
First answer is correct
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \frac{x}{3} \leqslant - 6 \\ 3 \times \frac{x}{3} \leqslant - 6 \times 3 \\ = \: \: \: x \leqslant - 18[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A diagram of a concrete walkway around a rectangular pool is shown. If the distances shown are measured in meters, find the total area of the concrete walkway.
A) 28 m2
B) 30 m2
C) 34 m2
D) 40 m2
Answer: 30 m2
Step-by-step explanation:
The area of the pool is 40 m2 and the area of the walk way (before) is 70 m2.
70 - 40 = 30 m2
Bonita drove 8 miles from her home to the library, and then drove back. Graph A shows her distance from home during the trip. Graph B will show her distance from the library during the trip. Complete each statement about Graph B.
Easy 50 points. Graph solutions with picture.
Answer:
(-1,-4)
Step-by-step explanation:
The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.
The system's solution should be (-1,-4).
Answer:
-1,-4Step-by-step explanation:
The equation of lines shows the two points
and it cross in the coordinates(-1,-4)
so
solution is( -1,-4)
If it doesnt work please just tell me :)
Answer:
33units^2 is the answer
Step-by-step explanation:
Plz I need help with this
Simplify 12c+14b+3c-22
Answer:
15c +14b -22
Step-by-step explanation:
12c+14b+3c-22
Combine like terms
12c+3c+14b-22
15c +14b -22
How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three
Answer:
2
Step-by-step explanation:
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far
How many dimensions does a plane have?
● Α. Two
O B. Zero
O C. One
O D. Three
Given f(x) = –2x + 2, find f(6).
Answer:
-10
Step-by-step explanation:
_________________________________
Solution,
f(X)= -2x+2
f(6)= -2*6+2
= -12+2
= -10
So the right answer is -10.
hope it helps
Good luck on your assignment
______________________________
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and
Row 1 the y-values. What effect does switching the variables have on?
Row 1
20
21
37
48
56
Row 2
63
72
177
158
164
171
129
186
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values.
= 206 (Round to three decimal places as needed.)
134
Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 the y-values.
- (Round to three decimal places as needed.)
Answer:
A.) r = -0.3669
B.) r = -0.3669
C.) there is no change in the value of r
Step-by-step explanation:
Row 1 : 20, 21, 37, 48, 56, 63, 72
Row 2: 177, 158, 164, 171, 129, 186, 134
A.) Taking Row 1 values as X. And row 2 values as Y.
Regression equation using the correlation Coefficient calculator :
r = -0.3669
B) Taking Row 1 values as Y. And row 2 values as Y.
Regression equation using the correlation Coefficient calculator :
r = -0.3669
C.) the correlation does not change.
9-1-1 Math EMERGENCY PLS HELP WILL GIVE BRAINLY AND 30 points
Pls solve just one queastion
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Give me brainly
the table below represents the function f
Answer:
1
Step-by-step explanation:
I belive its one because 3^2 is 9 and 9+1 = 10
to make sure it not just once 3^3 is 27 and 27+1=28
Match the points on the number line with the rational numbers.
Answer:
A -1 6/8
B -1 2/8
C -0.5
D 1
E 1 5/8
Step-by-step explanation:
Calculate the radius of the circular rug. Use 3.14 for π.
Enter your answer in the box below.
____ feet
Answer:
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
You're welcome and don't forget to click THANKS
Answer:
\sqrt{\frac{153.86}{3.14} } = r
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
\sqrt{\frac{153.86}{3.14} } = r
Rewrite using a negative exponent.
5/x ^2
Business women Maya spends 1/4 hours a day on her cell phone. Her husband Larry spends 3/16 hours a day on his cellphone. What is the total time spent on the phone between the couple per day?
Answer:
7/16
Step-by-step explanation:
Mayas time: 1/4
Larrys time: 3/16
Total time: 1/4 + 3/16 LCM = 16 16/4 = 4 16/16 =1
: 1*4/4*4 + 3*1/16*1
: 4/16 + 3/16
: 7/16
Help me, please!!
If you had a nickel (.05 or five cents) that earned 100 percent interest each day or doubled in value each day. How much would you have after 10 days?
Answer:
Step-by-step explanation:
If the initial amount of nickel is doubling in value each day, it means that the amount of nickel is increasing in geometric progression. The formula for determining the nth term of a geometric sequence is expressed as
Tn = ar^(n - 1)
Where
n represents the common ratio
a represents the first term of the sequence (initial amount)
n represents number of terms in the sequence (days)
r represents common ratio between consecutive terms(days)
From the information given,
r = 2
n = 10
a = 0.05
Therefore, for 10days, T10
T10 = 0.05 × 2^(10 - 1)
T10 = 0.05 × 2^9
T10 = 25.6
Answer:
Having a nickel doubled for 10 days gives 512 nickels, or 2560 cents.
Step-by-step explanation:
Having a nickel doubled in value each day for 10 days, we first write the amount of nickels we have in the first few days, inspect what pattern these numbers take, write a general formula for the sequence formed, and use the formula to find the 10th number easily.
For the first five days we have:
Day1: 1
Day2: 1 + 1 = 2
Day 3: 2 + 2 = 4
Day 4: 4 + 4 = 8
Day 5: = 8 + 8 = 16
...
This is a geometric progression, where the first term is 1, and the common ratio is 2.
The nth term is given as
Tn = ar^(n - 1)
Tn = 1 × 2^(n - 1)
= 2^(n - 1)
That is
Day n = 2^(n - 1)
Day 10 = 2^(10 - 1) = 2^9 = 512 nickels.
But because 1 nickels = 5 cents
512 nickels = 5 × 512 = 2560 cents.
help me i’m in need
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Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.
Answer:
D No, because on x values corresponds to two different y values
Step-by-step explanation:
This is not a function because an input has two different outputs
x=5 has two different y values
which of the follow does not represent a function?
Answer:
The third one. The one you have selected.
Step-by-step explanation:
if (4,5) is on the graph of a function what is the equation
Answer:
4 × 5 = 20
Step-by-step explanation:
Imagine this: the X is 4 and the Y is 5.
You want to find the area of it, so the equation would be
4 × 5 = 20
HOPE THIS WAS HELPFUL!!!!
I need help with this question.
Answer:
They are incorrect.
Step-by-step explanation:
Both iscocoles and right angled triangles are very similar. They both measure differently and are not the same,
Somebody please help me
Answer:
I believe it's 4,080
Step-by-step explanation:
you just add the two numbers
Answer:
4,080
Explanation:
Add how many feet she was when she started to how many feet she hiked.
959 + 3,121
4,080
Therefore, her elevation is now 4,080 feet above sea level.