jennifer bikes 7 miles south and then turns to bike 13 miles east how far away is she from where she started?
Answer:
She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
The side opposite to the right angle is called hypotenuse and it is the longest sideThe other two sides called legs of the right angleThe relation between them is: (hypotenuse)² = (leg1)² + (leg2)²∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
hypotenuse is the distance between her start and end pointsleg1 is her distance in south directionleg2 is her distance in east direction∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = [tex]\sqrt{218}[/tex]
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.
Given A(2,14), B(2,3), C(4,2), and D(14,2) what is the distance of CD?
Answer: CD = 10
Step-by-step explanation:
Subtract the smaller one from the larger one.
D(14, 2) - C(4, 2)
First, you subtract the x-values:
14 - 4 = 10
Then, you subtract your y-values:
2 - 2 = 0
Since the y-value is 0 (since it is a straight line), your distance of CD is 10.
Hope this helps!
3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.
Answer:
$2.14
Step-by-step explanation:
x = price
24x+(x+16) = 53.5
25x+16 = 53.5
25x+53.5
x=53.5/25=2.14
What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function?
The value of x can be ____
The value of y can be ____
(any real number, any real number except 5, any real number except 5 and -2)
Answer:
3, 0
Step-by-step explanation:
Subtract 2.
5 - 3 = 2.
-2 - 2 = 0
Answer:
The value of x can be
✔ any real number except 5
The value of y can be
✔ any real number
.Step-by-step explanation:
Help me out I’m bad at this type of stuff
Answer:
the answer is 3 1/2 hours
Explanation: Just add all the fractions and numbers and subtract that by 9 1/4
The sum of three consecutive even numbers is 66. Find the numbers
Answer:
20, 22, and 24
Step-by-step explanation:
hope this helps. can I also have brainliest please :)
Answer:
BRAINLIEST PLZZ
Step-by-step explanation:
The other 2 numbers are (x + 2) and (x + 4)
Their sum is 66:
x + (x + 2) + (x + 4) = 66
x + x + 2 + x + 4 = 66
3x + 6 = 66
3x = 60
x = 20
2nd number = x + 2 = 20 + 2 = 22
3rd number = x + 4 = 20 + 4 = 24
Answer: The numbers are 20, 22 and 24
What is -1 1/4 + -3/8
Answer:
-13/8
Step-by-step explanation:
please answer 60 points worth
Answer:
The answer is C
Explanation:
This is because 2(-2) + -2 is smaller than -4
Answer:
THANKS SM
Step-by-step explanation:
IF YOU CAN GET THIS YOU CAN GET SOME POINTS HURR BRAINLIEST IS WAITING!!!!!
My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house? MY HOUSE NUBER IS 19
Answer:
21 or 12
Step-by-step explanation:
Suppose, the number of one of the houses is “xy”, whose numerical value = (10x + y).
So, the number of the other house is “yx”, whose numerical value = (10y + x).
Let, “xy” > “yx”.
Now, difference of house numbers = {(10x + y) - (10y + x)} = {9 * (x - y)}; so the difference is a multiple of 9.
Now, the smallest positive number, divisible by 9, that ends with 2 is 72 = (9 * 8).
So, (x - y) = 8.
Since, 0 ≤ x, y ≤ 9; so, there are two solutions in hand:
I) x = 8, y = 0……………………..this makes the house numbers: “80” and “08”.
II) x = 9, y = 1…………………..this makes the house numbers: “91” and “19”.
So, the lowest possible numbers of the houses are “80” and “8” (not “91” and “19”).
A single digit number can not have its reverse number. hence 10,20,30,40,50,60,70,80 and 90 can not be the house number
Reverse of these numbers is same, hence 11,22,33,44,55,66,77,88 and 99 can not be the house number
For other reverse numbers the difference will be in multiples of 9 like 9,18,27,36,45,54,63,72,81
As the difference between house numbers ends in two, the lowest possible numbers of our house are 19 and 91
When 0 (zero) also considred as part of house number, the lowest possible numbers of our house are 08 and 80
Given: Triangle ABC is right isosceles. X is the
midpoint of AC. AB = BC
Prove: Triangle AXB is isosceles.
Answer:
Step-by-step explanation:
From the figure attached,
Point X is the midpoint of line AC.
Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Therefore, coordinates of the point X will be,
= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]
= (a, a)
From triangle AXB,
Length of AB = 2a
Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of AX = BX = [tex]a\sqrt{2}[/tex]
Therefore, triangle AXB is an isosceles triangle.
Question:
What is the other term of removing sets from a universal set?
Thank you.
Answer:
Subset
Step-by-step explanation:
A subset is a group of elements whose values were obtained from a larger set known as the universal set.
For example, say we have a universal set of all the numbers from 10 to 20
{10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
A subset of the even numbers include;
{10, 12, 14, 16, 18, 20}
A subset of the odd numbers include;
{11, 13, 15, 17, 19,}
These figures in the subset were derived from the universal set which is the larger set.
Divide. Write your answer in simplest form. 1/9 divided 5/4?
Answer: (1)/(9)-:(5)/(4)
Step-by-step explanation:
*^*^c(1)/(9)-:(5)/(4)*^*^
*^*^(1)/(9)-:(5)/(4)*^*^
*^*^The result can be shown in multiple forms. *^*^
*^*^Exact Form:4 45 *^*^
*^*^Decimal Form:
*^*^0.0 8
Find the area
10.4 in
6 in
6 in
6 in
Write what the equation will look like on the next line...
after you combine like terms.
3x + 5 + 7 = 9
Answer:
3x+12=9
Step-by-step explanation:
5 and 7 are like terms so you add them.
Whlch statement best describes how to determine when a graph is a function?
Answer:
why is the graph so i can help you
Step-by-step explanation:
Find the inverse of function f. f(x)=9x+7
A. F-1(x)= -9x-7
B.F-1(x)= 1/9x-7/9
C.F-1(x)= 7x+9
D.F-1(x)= 7/9x-1/9
Answer:
B
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9x + 7 ( subtract 7 from both sides )
y - 7 = 9x ( divide all terms by 9 )
[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B
Given the function g(x)= -3x+2, find the following:
f(1)=
f(-1)=
Write your answers as ordered pairs.
Hurry please help!
Answer:
(-1,5)
Step-by-step explanation:
Segment RS is an altitude of triangle RTE, the measure of angle SRT=(4x-8) degrees, and the measure of STR=(6x+13) degrees. Find the value of x
9514 1404 393
Answer:
x = 8.5
Step-by-step explanation:
The given angles are complementary, so ...
(4x -8) +(6x +13) = 90
10x +5 = 90 . . . collect terms
10x = 85 . . . subtract 5
x = 8.5 . . . . divide by 10
A one year membership at the club costs $10. You pay an additional $1.25 each day you go.
Last year you spent a total of $45. How many days did you go?
Answer:36
Step-by-step explanation:
can someone help me
Answer:
B
Step-by-step explanation:
Cuz the other would be a straight line
Solve for s. 7 - 45 = -3s
Answer:
12.7=s
Step-by-step explanation:
First, write the equation and combine like terms.
7-45=-3s
-38=-3s
Next, divide both sides by 3.
-38=-3s
/-3 /-3
12.7=s (I rounded the answer.)
Hope this helps! Have a great day C:
Help me please :>>>>>
Answer:
B, D
Step-by-step explanation:
can someone answer this and explain? and the one below, will mark brainlest
Step-by-step explanation:
there were 50 boxes of gum
each box had 36 packs of gum
in each pack were 15 pieces of gum
so total pieces of gum:
for one box of gum total pieces= 15*36= 540 pieces
for 50 boxes= 540*50= 27000 pieces of gum in total
number sentence:
15*36=540
540*50= 27000
bonus question:
27 gums in 1 day
27000 gums in x days
27000/27= 1000 days
Answer:
540 pieces x 50
27000/27=1000 days
Adam can assemble a furniture set in 5 hours. If his sister
Maria helps, they can finish it in 3 hours. How long will it
take Maria to do the job alone?
It takes Maria 7.5 hours to assemble a furniture set alone.
Let x represent the amount of time in hours that it takes Maria to assemble a furniture.
Given that it take Adam to assemble a furniture set in 5 hours. If his sister
Maria helps, they can finish it in 3 hours, hence:
3 hours (1 / 5hour) + 3 hours (1 / x) = 1
3/5 + 3/x = 1
3/x = 2/5
x = 7.5 hours
It takes Maria 7.5 hours to assemble a furniture set alone.
Find out more at: https://brainly.com/question/21105092
PLSSS HELPPP ASAPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!
An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground. How many meters below the ground is the elevator after 2 minutes?
1. −18 meters
2. −9 meters
3. −4.5 meters
4. −22.5 meters
Answer:
I believe its 1. -18 meters
Step-by-step explanation:
first find how many meters the elevator is descending per minute. to do this:
what is 12% of 75?
(75×.12) = 9
the elevator is descending 9 meters per minute.
9×2=18
Jordan has 3 blue shirts, 4 red shirts and 6 orange shirts. She chooses a shirt for Monday and places it in her suitcase. Then, she chooses a shirt for Tuesday. What is the probability that she choose a red shirt for Monday and an orange shirt for Tuesday?
Answer:
30% on Monday 46% on Tuesday
Step-by-step explanation:
Well you have 3 blue shirts 4 red shirts and 6 orange shirts so what you have to do is add all them together to make it a fraction which you would do 3+4+6 which is 13/13 so the probability of her wearing a red shirt on Monday would be 4/13 since there are 4 red shirts and 13 in total so we make 4/13 as a fraction which would give us 30% chance she would choose a red shirt on Monday and for Tuesday we do the same thing but instead we use orange shirts so which is 6/13 which would give her a percentage of 46% on Tuesday it's more closer to half than the red shirts because 6 pretty much half of 13 but since 13 is a odd number it isn't half because half of 13 is 6.5
zia can make 12 batches of cookies in 6 hours. How long does it take her to make 2 batches of cookies? Show (visual representation) or explain (explanation using academic vocabulary) your reasoning.
Answer:
1hour
Step-by-step explanation:
1 hour because twelve divided by 6 is 2
What Is 2+4? I need to know.
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6! Hope this helps have a great night!!!!
Step-by-step explanation:
May I plz have brainliest?
what are these rational numbers in order? 3/4, 2/7, 2/10, 5/8, 2/3, 8/4.
Answer:
2/10, 2/7, 5/8 ,2/3 ,3/4 ,8/4
Step-by-step explanation:
I learned when I was younger that the fractions with smaller denominators are bigger. (1/3 > 1/4). That changes when the numerators change. So 1/3 < 3/4. It is kinda hard to explain but there is an easier way were you find the greatest common multiple and make all the denominators equivalent.
which figure shows that M is a midpoint ? select all apply
Answer:
I don't see the figures.
Step-by-step explanation: