Answers
Answer:
15 miles
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.
[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]
Take the square root of both sides
[tex]15=c[/tex]
Therefore, the length of the hypotenuse is 15 miles.
I hope this helps!
Related Questions
please help i’ll give brainliest
Answers
In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=[tex]\frac{\sqrt{5}}{\sqrt{2}}[/tex] and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. [tex]\frac{\sqrt{10}}{2}[/tex].
Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).
Answers
Answer:
[tex]Degree = 3[/tex]
Step-by-step explanation:
Given
[tex]k(x) = x + 1[/tex]
[tex]m(x) = x - 4[/tex]
[tex]n(x) = x + 5[/tex]
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
Required
The degree of f(x)
First, calculate f(x)
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]
Expand
[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]
[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]
Further Expand
[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]
Collect like terms
[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]
[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]
The degree of f(x) is the highest power of x.
Hence:
[tex]Degree = 3[/tex]
D 2. Squares, rectangles, and rhombi åre types of trapezoids.
True
O
False
Answers
Answer:
false
Step-by-step explanation:
For the right triangle shown, what is the sine of angle C?
Answers
Answer:
0.5
Step-by-step explanation:
Angle C is 30° since 180° minus 90°, the right angle B, - 60°, angle A.
Sin 30° = 0.5
The tables represent two linear functions in a system
х
y
-6
-22
-3
-10
0
2
3
14
What is the solution to this system?
х
-6
-3
0
3
y
-30
-21
-12
-3
01-13-25)
0 (-34 -54)
O (-13, -50)
O (-14, -54)
Answers
Answer:
(-14, -54)
Step-by-step explanation:
Let's call the functions f and g
f(x) = ax + b
f(0) = a*0+b = 2
f(3) = a*3 + b = 14
From f(0) = 2 we know that b = 2
f(3) - f(0) = a*3 = 14 - 2
a = 4
We know that f(x) = 4x + 2
g(x) = cx + d
g(0) = -12
g(3) = -3
From g(0) = -12 we know that d = -12
g(3) - g(0) = c*3 = -3 - (-12) = 9
c = 3
We know that g(x) = 3x - 12
Now we need to solve
4x + 2 = 3x - 12
x + 2 = -12
x = -14
y = 4*(-14) + 2 = -56 + 2 = -54
y = 3*(-14) - 12 = -42 - 12 = -54
Checks out.
The solution to the system of linear functions that is represented by both tables is: (-14, -54).
What is the Solution of a System of Linear Functions?The solution of a system of two linear function is the point where the the x-coordinate and the y-coordinate of both linear functions are the same.
To find the solution, state the equation that represents each of the functions in the given tables:
y = 4x + 2 represents table 1
y = 3x - 12 represents table 2.
Thus, set both equations equal to each other.
4x + 2 = 3x - 12
Combine like terms
4x - 3x = -2 - 12
x = -14
Find the value of y by substituting x = -14 into y = 3x - 12:
y = 3(-14) - 12
y = -54.
Therefore, the solution to the system of linear functions that is represented by both tables is: (-14, -54).
Learn more about system of linear functions on:
https://brainly.com/question/8627594
On Monday, Amanda runs 1 1/6 miles. On Tuesday, she runs 2 1/2 miles. How far did she run on both days combined?
Answers
Answer:
3 2/3 miles
Step-by-step explanation:
1 1/6 + 2 1/2 = 1 1/6 + 2 3/6 = 3 4/6 = 3 2/3
Answer: 3 2/3 miles
If a certain number x is multiplied by 6
It will be equal to four less than twice
the same number?
Answers
Answer: x= -1
Step-by-step explanation: 6x = 2x-4 4x= -4 and x=-1
From the given statement the unknown number is found to be - 1
The given statements can written in algebraic form as follows;
the unknown number = x
the number is multiplied by 6 = 6x
four less than twice the same number = 2x - 4
then, from the given statement the final equation equation becomes;
6x = 2x - 4
This unknown number can be solved by collecting similar terms together;
6x - 2x = -4
4x = -4
divide through by 4
[tex]\frac{4x}{4} = \frac{-4}{4} \\\\x = -1[/tex]
Thus, the unknown number is - 1
Learn more here: https://brainly.com/question/24369824
help pls giving branliest
Answers
Answer:
https://youtu.be/TZbTr1oBwKU
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha 0.05, is the data highly inconsistent with the claim?
Answers
Answer:
p-value = 0.01044
Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )
We reject H₀
Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.
∴ the data is highly inconsistent with the claim
Step-by-step explanation:
Given the data in the question;
x' = 46500
σ = 8000
sample size n = 28
Null hypothesis H₀ : μ ≥ 50000
Alternative hypothesis H₁ : μ < 50000
level of significance ∝ = 0.05
Using Test statistics;
Z = [(x' - μ ) / (σ√n)] ~ (0,1)
we substitute
Z = [(46500 - 50000 ) / (8000√28)]
= -3500 / 1511.85789
= - 2.31
{ since alternative hypothesis is left tailed } from z-table;
p-value = P( z ≤ -2.32 )
p-value = 0.01044
Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )
We reject H₀
Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.
∴ the data is highly inconsistent with the claim
Giving ALOT of points for this
On Friday, three friends shared how much they read during the week.
Barbara read the first 100 pages from a 320-page in the last 4 days
Judy read the first 54 pages from a 260-page book in the last 3 days.
Nancy read the first 160 pages from a 480-page book in the last 5 days
Part A
A person’s average reading rate can be defined as the number of pages read divided by the number of days. Place the three friends’ reading rates in order from greatest to least(Show all work)
Answers
Answer:
Solution given:Barbara reads
100page in 4 days
1 day=100/4=25pages
judy reads
54pages =3days
1 day=54/3=18 pages
nancy reads
160 pages =5 days
1 day=160/5=32 pages
average page=[25+18+32]/3=25 pages per day is a required rate.
someone please help me answer this!!1
Answers
Answer:
b = 9m is the answer.
Step-by-step explanation:
a = 12m
b = ?
c = 15m
According to the Pytagorean theorem,
a² + b² = c²
12² + b² = 15²
144 + b² = 225
b² = 225 - 144
b² = 81
b = 9
∴ The slide is 9m away from the monkey bars.
can someone please draw lines on this
Answers
Answer:
I don't think someone can do that-
Step-by-step explanation:
Answer:
yes here you go
Step-by-step explanation:
:)
Determine whether the two expressions are equivalent
2(3c + 2) - 2c and 4c + 2
Answers
Answer:
The equations are not equivalent
Step-by-step explanation:
2(3c +2) -2c
6c + 4 - 2c
combine like terms
4c +4 does not equal 4c +2
Answer:
they are NOT equivelent
Step-by-step explanation:
2(3c+2)-2c and 4c + 2
(6c+4)-2c
4c+4>4c+2
What is the value of the median in the set of data represented by the following box-and-whisker plot?
A. 10
B.15
C.14
D.15.5
Answers
Answer:
D) 15.5
Step-by-step explanation:
median is the middle line inside the 'box'
Question 11 of 49
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75 ?
A. 75
B. 105
C. 90°
ОО
D. 180°
Answers
Answer:
[tex]B = 105[/tex]
Step-by-step explanation:
Given
[tex]A = 75[/tex]
Required
Find B
If A and B are consecutive interior angles, then
[tex]A + B = 180[/tex]
Substutute 75 for A
[tex]75 + B = 180[/tex]
[tex]-75+75 + B = 180 - 75[/tex]
[tex]B = 105[/tex]
You and your friend are
sharing 3/8 of a bag of candy.
How much of the bag will each
of you get if you share it
evenly?
Which operation will you
use for this problem (circle
one)
+ -
X =
Answers
Answer:
Each freind will get 3/16 of bag of candy
and Multiplication
I need help asap....
Answers
Answer:
Step-by-step explanation:
From the given picture,
Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4
To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3
Statements Reasons
1). l₁ ║ l₂ and ∠2 ≅ ∠4 1). Given
2). ∠1 ≅ ∠2 2). Vertical angle theorem
3). ∠1 ≅ ∠4 3). Given
4). ∠1 ≅ ∠3 4). Corresponding angle theorem
5). ∠4 ≅ ∠3 5). Transitive property of congruence
Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*
1.) 0.348483
2.) 1.01
3.) -1
4.) 0.99
5.) 0
6.) -0.5
Answers
Answer:
0, 0.99 and 0.348483 ( options 5, 4 & 1 )
Step-by-step explanation:
Probability of an event is between 0 & 1, including 0 & 1.
18 = 3 • y helppppppppppppppp
Answers
Answer:y=6 3*6=18
Step-by-step explanation:+ 6 IS Correct
The ratio of faculty members to students at a college is 1:60. There are
1,220 students. Approximately how many faculty members are there?
Answers
Answer:
either 20 or 21
Step-by-step explanation:
i think you just cross multiply like 1/60=x/1220
x=20.3 but you cant have part of a faculty member, so i believe its 20
(=^w^=)
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?
A.
0.005
B.
0.015
C.
0.245
D.
0.735
Answers
Answer:
C
Step-by-step explanation:
Answer:
Here is the answer
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
C. 27
Step-by-step explanation:
If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the sane with the cats
9*3=27 therefore the answer is 27.
Answer:
C. 27
Step-by-step explanation:
If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the same with the cats
9*3=27 therefore the answer is 27.
100 POINTS AND BRAINLIEST IF YOU USE EXPLANATION
What type of table or graph do you use to help you make a histogram?
A.
a dot plot
B.
a frequency table
C.
a circle graph
D.
a bar graph
Answers
Answer:
B
Step-by-step explanation:
Answer:
D. a bar graph
Step-by-step explanation:
a bat graph because it keeps track of data that changes over time
Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0
Answers
Answer:
x=-8
x=-6
Step-by-step explanation:
Don't really know how to explain this. I never was good at completing the squares.
Hope that this helps!
How do you do this questions
Answers
Answer:
Step-by-step explanation:
That should be right :) I tried
Helppppp plsssssssssssssssssssssss
Thansk!
シ
Answers
Answer:
60.
Step-by-step explanation:
we have a decimal so we need to get rid of it, move It over twice.
1.5, 15.
and do the same for 9
90., 900.
now we can divide
60.
15 900.
90
00
0
(3/4)(-4/3) = 0
True or False
Answers
Answer:
False
Step-by-step explanation:
(3/4)(-4/3)=-3/2
Answer:
true
Step-by-step explanation:
your welcome
Show work please!!!!!!!!
Answers
Step by step: 1: 48 x 3/8
2: 48/1 x 3/8 3: 144/8. 4: 18
Answer:
18
Step-by-step explanation:
48÷8
=6x3
=18
:) hope it's help on your work
A circle has a radius of 12. what is the circumference of the circle
Answers
Pi 2 x 12
24 pi =75.36
Answer:
14 because of its addition
Step-by-step explanation:
πr²=x
=12+2+x
=14
A polling agency reported that the proportion of 12th grade students who are engaged is 0.34. Engagement is defined as students' involvement and enthusiasm with school. The superintendent of one high school district believes the engagement of her students is higher than the proportion reported. She randomly surveys 90 of the 3600 students in the district and finds that 38 reported being engaged in school.
Required:
a. What type of variable is "engaged"?
b. What is the sample proportion of students in this high school district who are engaged?
Answers
Answer:
a) "engaged" is a quantitative and continuous variable.
b) The sample proportion of students in this high school district who are engaged is 0.4222
Step-by-step explanation:
Given the data in the question;
Polling reports shows that 0.34 12th grade students are engaged
the principal surveyed 90 of the 3600 students,
number of students reported to be engaged is 38
a)
"engaged" is a quantitative and continuous variable.
b) the sample proportion of students in this high school district who are engaged.
Sample proportion of engaged = number of students reported to be engaged / total number of students surveyed
so
Sample proportion of engaged = 38 / 90
Sample proportion of engaged = 0.4222
Therefore, the sample proportion of students in this high school district who are engaged is 0.4222