Answer:
They are about 3.6 miles away from each other.
Step-by-step explanation:
2²+3² = C²
13=C²
√13 = C
C = 3.6
The distance between Josh and Ben is 3.6 miles
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that Josh and Ben spotted a bear in the woods while riding their bikes. Josh rode 3 miles north and Ben rode 2 miles east.
The formula of the Pythagorean theorem is given as,
C² = a² + b²
C² = 2²+3²
C² = 13
C = √13
C = 3.6
Therefore, the distance between Josh and Ben is 3.6 miles
To know more about the Pythagorean theorem follow
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140.23 < 140.203 what is the answer true or false.
Answer:
true
Step-by-step explanation:
Answer:
false because 140.23 is not less then 140.203
Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?
a. 0.1
b. 0.2
c. 0.4
d. 0.5
Answer:
The value of P(B) = 0.5
Step-by-step explanation:
Given:
Value of P(A and B) = 0.20
Value of P(A|B) = 0.40
Find:
The value of P(B)
Computation:
P(A and B) = P(A|B) x P(B)
By putting value of P(A and B) and P(A|B)
⇒ 0.20 = 0.40 x P(B)
⇒ The value of P(B) = 0.20 / 0.40
⇒ The value of P(B) = 20 / 40
⇒ The value of P(B) = 1 / 2
The value of P(B) = 0.5
pls help me with these and can you do them all and mitch you show me how to and I don't care if you use photo math thank you and use give me the best will be thank and brainlist.
Can someone tell me what I did wrong?
Answer:
The answer is 12 feet. .
Step-by-step explanation:
You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.
PLEASE HELP!!!! I'LL GIVE BRAINLIEST NO LINKS OR YOU'LL BE REPORTED:)))))))))) Describe the distributive property. How is it different from other properties. Can you give an example?
Answer:
when u distribute a number you are basically giving the number off and multiplying other factors by that number
Step-by-step explanation:
3(x+4) ( distribute the 3 ) so u would multiply the 3 by both factors ( the x and the 4) getting 3x+12
Ignacia is comparing prices on pineapple juice. Brand A sells 24 oz. for $2.64. Brand B sells 36 oz. for $3.60. Brand C sells 12 oz. for $1.68. Brand D sells 100 oz. for $10.50. Which brand offers the best price per oz.?
Answer:
I think A or D but i'm stuck on D
Step-by-step explanation:
Answer:
D because if you multiply all the other brands to get a 100oz they are more expensive/ high than D.
HELP ME <3
Solve. 6x = -36
a) -42
b) 6
c) -30
d) -6
Answer:
the correct answer is -6
Answer:
d)-6
Step-by-step explanation:
negative and positive is a negative in multiplication. and 6x6=36
so if you put 6(-6) you get -36
Write a system of linear inequalities represented by the graph.
Answer:
Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!
Step-by-step explanation:
Mr. Cobb is carpeting a 17.7 m long hallway. He has a piece of carpet 22 m long. How much does Mr. Cobb need to cut off the length of the piece of carpet?
Answer:5.7
Step-by-step explanation:
Simon lost his library card and has an overdue library book. When the book was 5 days late, he owed $2.25 to replace his library card and pay the fine for the overdue book. When the book was 21 days late, he owed $6.25 to replace his library card and pay the fine for the overdue book. Suppose the total amount Simon owes when the book is n days late can be determined by an arithmetic sequence. Determine a formula for an, the nth term of this sequence. Use the formula to determine the amount of money, in dollars, Simon needs to pay when the book is 60 days late.
Answer:
[tex](a)\ y = 0.25n +1[/tex]
[tex](b)\ \$16[/tex]
Step-by-step explanation:
Given
[tex]n \to days[/tex]
[tex]y \to amount[/tex]
[tex](n_1,y_1) = (5,2.25)[/tex]
[tex](n_2,y_2) = (21,6.25)[/tex]
Solving (a): Formula that represents the scenario.
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{n_2 -n_1}[/tex]
[tex]m = \frac{6.25-2.25}{21-5}[/tex]
[tex]m = \frac{4}{16}[/tex]
[tex]m = 0.25[/tex]
The equation is calculated using:
[tex]y = m(n - n_1) + y_1[/tex]
This gives:
[tex]y = 0.25(n - 5) + 2.25[/tex]
[tex]y = 0.25n - 1.25 + 2.25[/tex]
[tex]y = 0.25n +1[/tex]
Solving (b): Amount after 60 days late.
This means that:
[tex]n = 60[/tex]
So:
[tex]y = 0.25 * 60 + 1[/tex]
[tex]y = 15 + 1[/tex]
[tex]y = 16[/tex]
6 ( 7y - 5) simplified
Answer:
42y-30
Step-by-step explanation:
here you go
Isaac earns $15 per hour when he babysits. Let A be the amount he earns in dollars after babysitting for H hours.
Answer:
A= 15(H)
Step-by-step explanation:
A is the total amount he is going to get, And H is the hours. If he gets 15 an hour. it means however many hours he works multiplied by 15 is the total amount he gets.
Find the value of 3a+ 3b when: a = 6 and b = 4 a = 4 and b = 6 Your two answers should be the same. Look at the expression and the a and b values and explain why the answers are the same.
Answer:
The answer is 30.
Step-by-step explanation:
The given expression is :
3a+3b
Put a = 6 and b = 4 in the above expression.
3a+3b = 3(6) + 3(4)
= 18+12
= 30
Now put a = 4 and b = 6 in the above expression.
3a+3b = 3(4) + 3(6)
= 12+18
= 30
Hence, the answer in both case is same i.e. 30.
Please tell me the process to change a percent to a decimal
which of these figures has rotational symmetry
Answer: The answer is C
Step-by-step explanation:
The reason is because if you make a line in between it would be symetrical (up, down, left, right).
helppppppp pleaseeeeee
Which radio costs 150% as much as Radio D?
Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales. ¿Qué parte de la pizza completa le tocó a cada una?
Answer:
Elisa y Romina comieron 5/16 de la pizza completa cada una.
Step-by-step explanation:
Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:
(5/2) / 8 = X
2.5 / 8 = X
0.3125 = X
0.3125 = 5/16
Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.
when the “a” value is negative in any quadratic what do you know about the graph?
Answer:
when a is negative, the parabola opens downward
Step-by-step explanation:
what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?
9.5 for the brother 19/4 for the son and 19/5 for the daughter I think
Step-by-step explanation:
So 9.5 would be 10. 19/4 would be 5 and 19/5 would be 4
SO the brother would get 10 the son would get 5 and the daughter would get 4
Answer:
Brother-9.5
Son-19/4
Daughter-19/5
Step-by-step explanation:
Also, pls help me on my phsyics Q3 work on graduation alliance. PLEASE PLEASE.
the diameter is a circle is 18cm. Find it’s circumference in terms of π.
C= ________cm
Answer:
the answer interm of pie will be 18π
Step-by-step explanation:
circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π
Plz help down below is the question
Answer:
The answer would be exactly 250 messages.
0.50 × x = $125
125÷ 0.50=250
Hope this helps!
f(x) = 2x^2 - 5x - 15
g(x) = -2x - 1
find f(g(x)) ... somebody help me :(
Answer:
f(g(x)) = 8x² + 18x - 8
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(- 2x - 1)
= 2(- 2x - 1)² - 5(- 2x - 1) - 15
= 2(4x² + 4x + 1) + 10x + 5 - 15
= 8x² + 8x + 2 + 10x - 10
= 8x² + 18x - 8
Find the number exactly halfway between 1/5 and9/10
I am not pretty sure of the answer but maybe it's 5/10
Answer:
the number half way between 1-5 is 3. and the number half way between 9/10 is 9.5
Step-by-step explanation:
to find the number half way between 1/5 just write out all the numbers (1 2 3 4 5) and 3 is the halfway point because there are two numbers on the right and to numbers on the left
the number halfway between 9 and 10 is 9.5. all you do is add 9 +10 then divide by 2
9+10=19
19÷2= 9.5
what is 48x + 56 factored
Answer:
8(6x + 7)
Step-by-step explanation:
Find a factor for both of the numbers (8)
Place the remaining numbers in a bracket (6x +7)
Place the 8 outside the bracket
8 (6x + 7)
Have a good day :)
Answer:
All you have to do is factor like this. It is also know as common factoring.
48x+54
8(6x+7) You chose the eight because it fits into 48 and 54. So you find the multiple of 8 to get the total of 48. And that is 6 and for 54 it would turn out to be 7. So the answer would be 8(6x+7)
Step-by-step explanation:
Hope this helps!
While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flips should Latrell expect to come up heads?
Answer: 2 heads
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(heads)
=
heads
total
=
heads
heads+tails
=
4
4+2
=
4
6
=
2
3
The experimental probability is
2
3
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
2
3
=
n
3
2
3
(33)
=
n
3
(33) Multiply both sides by (33)
23
= 3n Simplify
6
= 3n Simplify
2
= n Divide both sides by 3
Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.
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Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and 2 1/
4 pounds of asparagus at $3.80 per pound.
What was her total cost?
Answer:
$14.43¢
Step-by-step explanation:
We are given; [tex]1\frac{2}{5}[/tex] pounds, 1 pound = $4.20 and [tex]2\frac{1}{4}[/tex] pounds,1 pound = $3.80 that Andrea bought.
Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]1\frac{2}{5}[/tex] to a decimal. It is 1.4. Now we can set up a graph.
Avocados
[tex]\frac{4.2}{1}=\frac{x}{1.4}[/tex]
Switch sides
[tex]\frac{x}{1.4}=\frac{4.2}{1}[/tex]
Apply rule: [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{1.4}=4.2[/tex]
Multiply both sides by 1.4
[tex]\frac{1.4x}{1.4}=4.2\cdot \:1.4[/tex]
Simplify
[tex]x=5.88[/tex]
So, her cost for avocados is $5.88¢
Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]2\frac{1}{4}[/tex] to a decimal. It is 2.25. Now we can set up a graph.
Asparagus
[tex]\frac{3.8}{1}=\frac{x}{2.25}[/tex]
Switch sides
[tex]\frac{x}{2.25}=\frac{3.8}{1}[/tex]
Apply rule : [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{2.25}=3.8[/tex]
Multiply both sides by 2.25
[tex]\frac{2.25x}{2.25}=3.8\cdot \:2.25[/tex]
Simplify
[tex]x=8.55[/tex]
So, her cost for asparagus is $8.55¢
Total cost
Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:
$5.88¢ + 8.55¢ =
5.88 + 8.55 = 14.43
Therefore, Andrea's total cost of the fruits is $14.43¢
Good morning, can someone help me solve this problem? I already did some of it but I need help, thank you
Answer: (-4, -1)
This means x = -4 and y = -1 pair up together.
======================================================
You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.
Here's what your steps could look like
-2x + 5y = 3
-2(3y-1) + 5y = 3
-6y + 2 + 5y = 3
-y + 2 = 3
-y = 3-2
-y = 1
y = -1
x = 3y-1
x = 3(-1) - 1
x = -3-1
x = -4
Therefore, (x, y) = (-4, -1) is the solution
-------------------
As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.
If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)
Also, note how plugging x = -4 and y = -1 into the second equation leads to...
-2x+5y = 3
-2(-4)+5(-1) = 3
8 - 5 = 3
3 = 3
We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.
PLEASE HELP! ( no random links )
“How many servings of fruit did you eat yesterday?” Is this a statistical question or non-statistical question?
Answer:
This is not a statistical question
Step-by-step explanation:
A statistical question is a question the gathers varying data
Verify that:
1. (CosX)(CotX) = CscX - SinX
2. (Csc X - CotX)^2 = 1-CosX/1+CosX
These were the last two questions on my Homework that I couldn’t figure out after many tries! Thank you to anyone who helps!
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to verify that:
[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]
Note that cot(x) = cos(x) / sin(x). Hence:
[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]
Multiply:
[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:
[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Split:
[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Simplify:
[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]
Problem 2)
We want to verify that:
[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Square:
[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:
[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor out the sin²(x) from the denominator:
[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor (perfect square trinomial):
[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:
[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor (difference of two squares):
[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor out a negative from the first factor in the denominator:
[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Cancel:
[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Distribute the negative into the numerator. Therefore:
[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]