Answers
Answer:
103.2 km
Step-by-step explanation:
Hi there!
1) Draw a diagram
Please see the picture below.
2) Solve for the length of the diagonal
Because Jacob's path creates a right triangle, we can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where c is the side opposite the right angle and a and b are the other sides
Plug in the known information
[tex]64^2+81^2=c^2\\64^2+81^2=c^2\\10657=c^2[/tex]
Take the square root of both sides to isolate c
[tex]10657=c^2\\103.2=c[/tex]
I hope this helps!
Related Questions
How much would it cost to make a million if I saved $100 everyday for a year
Answers
$2300 at 10% for 3 years?
Answers
Answer: 690 dollars
Step-by-step explanation:
Angles M and N are complementary angles. If angle M is 3x+15 and angle N is 2x+35, what is the measure of angle N?
Use your value of x to find the measure of angle N.
Please help I’m stuck!
Answers
Answer:
Step-by-step explanation:
2x+35+3x+15=90(being perpendicular)
5x+50=90
5x=90-50
x=30/5
x=6
Angle N=2x+35
=2*6+35
=12+35
=47 degree
A tool box has the dimensions of 9 in by 3 in by 5 in. If Jesse plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?
Answers
Answer:
No, the volume will be incresed by 8 times (2x2x2=8)
Step-by-step explanation:
[tex]Volume=3*5*9=135 in^{3} \\increased -Volume=6*10*18=1080 in^{3}\\\frac{1080}{135} =8[/tex]
Please help! Use the graph to write an explicit function to represent the data and determine how much money Shelley earned in week 5.
a.)f(n) = 5(3)n − 1; f(5) = 405
b.) f(n) = 6(3)n − 1; f(5) = 486
c.)f(n) = 6(3)n; f(5) = 1,458
d.)f(n) = 6(3)n + 1; f(5) = 4,374
I WILL VOTE BRAINLIEST!
Answers
What is the slope in this equation? Y=3x
Answers
Answer:
3
Step-by-step explanation:
y = mx + b
m = slope
In this equation,
m = 3
Thus, the slope, or m, is 3.
General equation for slope-intercept form
y=mx+C
where m is slope
Comparing the given eqn y=3x
m= 3
Therefore, slope = 3
Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3
Answers
Answer:
( 1 , ∞ )
Step-by-step explanation:
Interval notation rounds up to infinite
The population of a school is 800 students and is increasing at a rate of 2% per year. Write
an exponential growth function, then find the population of the school after 9 years.
Why is it not giving the right answer
Answers
Answer:
After 9 years the population would be 956. The exponential growth function would be [tex]x(956)=800_{0} (1+\frac{2}{100})^{9}[/tex]
Step-by-step explanation:
y=a(1+r)x
a = initial amount
r = growth rate as a decimal
x = number of time intervals passed (days, months, years)
y = amount after x time
This formula is used to express a function of exponential growth.
From a barrel of colored marbles, you randomly select 6 blue. 4 yellow, 2 red, 3 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not yellow.
Answers
Add all that are not yellow: 16
Divide 16/20
Answer: 4/5
Which of the following is equal to √^3√5
5^1/3
5^1/6
5^2/3
5^3/2
Answers
Musical High School has a band that contains four members: (A)vi, (B)rianna, (C)alvin, and (D)achen. Students in the high school must vote for who they like in the band, and they can vote for none of them or for one or more members of the band. There are 3000 students in the school (including the band members), but the band members cannot vote. 1000 students vote for member A. 1000 students vote for member B. 1000 students vote for member C and 1000 vote for member D. 250 students vote for both A and B. 250 students vote for both A and B. 250 students vote for both A and C, 250 students vote for both A and D. 250 students vote for both B and C. 250 students vote for both B and D. 250 students vote for both C and D. 100 students vote for A,B, and C. 100 students vote for A,B, and D. 100 students vote for A,C, and D. 100 students vote for B,C and D. 50 students vote for all of them. What is the number of students that voted for no one?
Answers
Answer:
146 didn't vote
Step-by-step explanation:
With this situation, start from the vote for all 4, then move onto the vote of 3 out of 4, then the vote of 2 of the 4 and lastly deal with with the vote of 1 out of the 4;
I've tabulated it in the attached excel document;
First, there are 50 votes for A, B, C and D;
Then there are 100 votes for B, C and D;
Now, the 50 who voted for all 4 are included in the 100 for B, C and D because someone who votes for A, B, C and D has voted for B, C and D;
This means we need to deduct 50 from 100 to get 50, which is the number of voters who voted for B, C and D, but not A;
This is done for all the options where students voted for 3 of the 4;
For those who voted C and D, there are 250, but this will include the 50 who voted A, C and D, the 50 who voted B, C and D and the 50 who voted A, B, C and D;
So, we have to subtract 3×50 (= 150) from 250 to get 100 as is shown in the table;
The table is quite helpful as it shows clearly who will be included in the numbers given in the question info;
We do the same for all those who vote for 2 of the 4;
For those who voted just D, we need to add the votes of all those who voted for D and anyone else, which is 500, and subtract this from the total number of votes for D, which is 1000;
And similarly, we do the same for A, B and C as well;
Now, we can sum all the votes, which gives 2850 and subtract this from the total number of voters, which is 2996 (remember we have to exclude the 4 band members as they can't vote);
This gives us:
2996 - 2850 = 146
Find the indicated measures in problems 15&16 from parallelogram ABCD shown below
15)Find CD
16)Find m
Can anyone help me with Qs 15 & 16 ??
Answers
Answer:
B and C
Step-by-step explanation:
(15)
The opposite sides of a parallelogram are equal , so
CD = AB , that is
7x - 54 = 5x - 2 ( subtract 5x from both sides )
2x - 54 = - 2 ( add 54 to both sides )
2x = 52 ( divide both sides by 2 )
x = 26
Then
CD = 7x - 54 = 7(26) - 54 = 182 - 54 = 128 → B
(16)
Consecutive angles are supplementary, sum to 180° , then
6y + 19 + 2y + 9 = 180
8y + 28 = 180 ( subtract 28 from both sides )
8y = 152 ( divide both sides by 8 )
y = 19
Then
∠ B = 6y + 19 = 6(19) + 19 = 114 + 19 = 133°
Opposite angles are congruent , so
∠ D = ∠ B = 133° → C
Geometry Math show work thanks
Answers
Answer and Step-by-step explanation:
In a polygon, when a shape is similar but dilated, the angles are still congruent.
Also, turn the pentagon QRSTP counterclockwise 90 degrees so it is upright and looks like pentagon ABCDE (making it easier to read).
A. The measure of angle P is 124 degrees, as it matches up with angle E.
B. To find the length of side r, we need to find the scale factor. We do this by looking at the given side on pentagon QRSTP (side RS) and match it with its similar side of pentagon ABCDE (side BC)
To find the scale factor, you divide the side of the bigger shape by the side of the smaller shape. For us, this results in the scale factor being 2.
Now, the similar side to r is side ED. We need to divide 7.5 by 2 to find r.
When doing so, we get r to be 3.75.
#teamtrees #PAW (Plant And Water)
What are all of the factors pair’s of 24
Answers
Answer:
1,24 2,12 3,8 4,6
Step-by-step explanation:
that's all of them
What is the range of the function pictured below?
Answers
Answer:
0 ≤y ≤ 60
Step-by-step explanation:
The range is values the y can take
y goes from 0 to 60
10 ≤y ≤ 60
which expression is equivalent to the expression shown!
Answers
Answer:
Answer is Option A
Step-by-step explanation:
3 / 2 x - 1 /2
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
D
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] ( - [tex]\frac{3}{2}[/tex] x + 6x + 1) - 3x ← distribute parenthesis
= [tex]\frac{3}{4}[/tex] x - 3x - [tex]\frac{1}{2}[/tex] - 3x
= [tex]\frac{3}{4}[/tex] x - 6x - [tex]\frac{1}{2}[/tex]
= [tex]\frac{3}{4}[/tex] x - [tex]\frac{24}{4}[/tex] x - [tex]\frac{1}{2}[/tex]
= - [tex]\frac{21}{4}[/tex] x - [tex]\frac{1}{2}[/tex]
= - 5 [tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] → D
Aubrey can spend at most $100 more on her credit card. She bought a pair of shorts for $20, and sees a sales t-shirt at $15 per shirt. How many t-shirts can Aubrey buy with her $100 budget? Which of the following equations fits this situation?
Answers
Answer:
its the last one
Step-by-step explanation:
15x + 20 = ≤ 100
this means 15 times how many t-shirts + 20 is less than or equal to 100, which represents the question.
What is the measurment of angle P
Answers
Answer:
65°
Step-by-step explanation:
The sum of the angles of a triangle is always 180°. Meaning, ∠P + ∠Q + ∠R = 180.
(2x-9) + (2x+4) + x = 180
Combine like terms:
5x-5 = 180
5x = 185
x = 37
P = (2x - 9) = 2(37) - 9 = 74 - 9 = 65
Which relation is a function? A. (1,0) (3,0) (1,1) (3,1) (1,3). B. (1,1) (2,2) (3,3) (4,4) (5,8). C. (2,7) (6,5) (4,4) (3,3) (2,1). D. (9, -3) (9,3) (4, -2) (4,2) (0,0)
Answers
Answer:
B
Step-by-step explanation:
Can someone help with this please??
Answers
Answer:
Hannah has 56
Step-by-step explanation:
Hannah receives 7 for every 3rd Zoe gets. Take Zoe's amount, divide it by three, and you get 8. 8*7 is 56.
For about 10 years after the French Revolution, the French government attempted to base measures of time on multiples of ten: One week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. What are the ratios of (a) the French decimal week to the standard week and (b) the French decimal second to the standard second
Answers
Answer:
[tex](a)\ Ratio = 1.43[/tex]
[tex](b)\ Ratio = 0.864[/tex]
Step-by-step explanation:
Given
[tex]French\ Week= 10\ days[/tex]
[tex]French\ days= 10\ hours[/tex]
[tex]French\ hours= 100\ minutes[/tex]
[tex]French\ minutes= 100\ seconds[/tex]
Solving (a): Ratio of french minute to standard week
This is calculated as:
[tex]Ratio = \frac{French\ week}{Standard\ week}[/tex]
[tex]Ratio = \frac{10\ days}{7\ days}[/tex]
[tex]Ratio = \frac{10}{7}[/tex]
[tex]Ratio = 1.43[/tex]
Solving (b): Ratio of french second to standard second
This is calculated as:
[tex]Ratio = \frac{French\ second}{Standard\ second}[/tex]
Convert french days to seconds
[tex]French\ days= 10\ hours[/tex]
[tex]French\ days = 10hr * 100mins/hr * 100secs/min[/tex]
[tex]French\ days = 10 * 100 * 100secs[/tex]
[tex]French\ days = 100000\ secs[/tex]
This gives:
[tex]French\ second = \frac{1}{100000}day[/tex]
For standard day, we have:
[tex]Standard\ second = \frac{1}{86400}day[/tex]
So, we have:
[tex]Ratio = \frac{1/100000}{1/86400}[/tex]
Rewrite as:
[tex]Ratio = \frac{1}{100000} \div \frac{1}{86400}[/tex]
[tex]Ratio = \frac{1}{100000} * \frac{86400}{1}[/tex]
[tex]Ratio = \frac{86400}{100000}[/tex]
[tex]Ratio = 0.864[/tex]
Place these lengths in order of size with the smallest first:
4.5m, 4.93cm, 475.9mm, 47.3m
Answers
Answer:
4.93 cm 475.9 mm 4.5 m 47.3 m
Step-by-step explanation:
mmmmmmmmmmmmmmmmmmmmmmm
This scale is used on a map.
Scale
1 centimeter = 4 miles
On the map, the distance between Lake Moore and Lake Wyman is 4.5 centimeters. Which of the
following is closest to the actual distance between Lake Moore and Lake Wyman?
A. 1.1 miles
B. 8.5 miles
C. 9.0 miles
D. 18.0 miles
Answers
Explanation:
10.) Find the radius of a cylinder that has a height
of 5 inches and a volume of 251 2 cubic inches.
Answers
Answer:
Radius is 4.297
Step-by-step explanation:
Hieght=5
Surface Area=251
Answer:
Its r = 3.99898596 in
Step-by-step explanation:
It should be the answer if the volume is 251.2. But it confuses people like is it 251 2 or 251.2. Hope that helps
A pair of parallel lines is cut by a transversal:
What is the measure of angle x?
Answers
Answer:
90 degrees.
Step-by-step explanation:
You have two lines that will never intersect. You are cutting the line into two pieces. A line is 180 degrees. Half of 180 is 90.
If you write the function as a sequence, what would be the
common difference?
Destinee inherited a book of stamps from her grandmother.
She adds new stamps to the book every year. The total
number of stamps in the book is a function of the number of
years since Destinee started adding to it. The function is
linear
Enter the answer in the box.
Here are some ordered pairs in the function.
d =
{(2,213), (4,219), (7,228)}
Answers
9514 1404 393
Answer:
3
Step-by-step explanation:
The common difference of an arithmetic sequence is the slope of the equation that describes it. The slope formula is useful in this case:
m = (y2 -y1)/(x2 -x1)
m = (219 -213)/(4 -2) = 6/2 = 3
The common difference of the corresponding arithmetic sequence is 3.
Please help, it’s due tonight. I do have my answer I just need help explaining how it work for any number..
Answers
Answer:
Yes it is 10!
Step-by-step explanation:
5+20=25
25x5=125
125+125=250
250-200=50
50/5=10
REALLY IMPORTANT
•
no files or im reporting your answer
Answers
Answer:
(-3,-3) and at (0,6)
Step-by-step explanation:
The solution to the system of equations is where they intersect
The graphs intersect and (-3,-3) and at (0,6)
F(x)=3x+1, g(x)= x^2, h(x)=x+3, find f(x) + h(x)
Answers
Answer:
4x+4
Step-by-step explanation:
F(x)=3x+1, h(x)=x+3
f(x)+h(x) = 3x+1 +x+3
=4x+4
The following figure shows ABC with side lengths to the nearest tenth. Find BC in ABC. Round to the nearest tenth. BC=
Answers
The figure of the triangle is missing, so i have attached it.
Answer:
BC = 5.4
Step-by-step explanation:
From the attached triangle image, we are given 2 angles, but we need to find the third angle before we can find BC.
We know that sun of angles in a triangle is 180°.
Thus;
∠A = 180 - (∠C + ∠B)
∠A = 180 - (24 + 130)
∠A = 26°
Now, from sine rule, we can find BC.
BC/sin A = AB/sin C
Thus;
BC = (AB sin A)/sin C
BC = (5 × sin 26)/sin 24
BC = 5.389
Approximating to the nearest tenth gives;
BC = 5.4