Question 2
A forest ranger in an observation tower sees a bear 15 miles to the north. The ranger also knows
there are campers located 19 miles due west of her post.
To the nearest mile, how far are the campers from the bear?
O 24 miles
O 5 miles
21 miles
O 34 miles
Answers
Answer:
24 miles
Step-by-step explanation:
Please find attached a diagram explaining the question
this would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
15² + 19²
225 + 361
586
the square root of 586 = 24 miles
Related Questions
A quiz has 5 questions with answers that are either true or false. How many different combinations of answers are
possible?
Ο 10
Ο 16
Ο Ο Ο
25
Ο 32
Answers
Find the value of x
7-10 plsss
Answers
Answer:
Step-by-step explanation:
Hope it helps u!!
The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.
What is Polygons?Polygons are closed figures which has at least three set of line segments joined together.
The polygon with least number of sides is triangle.
7) It is a polygon with 4 sides (quadrilateral)
Sum of the interior angles of a quadrilateral = 360°
45° + 65° + 95° + x = 360°
x = 360° - (45° + 65° + 95°)
x = 155°
8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.
There are 6 sides.
Sum of the interior angles = (6 - 2)180° = 720°
x + 140 + 130 + 120 + 90 + 150 = 720
x = 90°
9) n = 5
Sum of the interior angles = (5 - 2) 180° = 540°
2x + 90 + 100 + 70 = 540
2x = 280
x = 140°
10) Sum of the exterior angles of a polygon is 360°.
4x + x + 98 + 162 = 360
5x = 100
x = 20°
Hence the values of x are found.
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The amount of time (in minutes per day) spent on social media for a sample of 10 teens has a mean of 186.7 and a sample standard deviation of 19.99. An independent sample of 8 older adults has a mean of 93.5 minutes with a sample standard deviation of 32.01. Assume that the time spent on social media is approximately normally distributed for each group. a) Determine the value of the test statistic to test H subscript 0 colon space mu subscript t e e n end subscript equals mu subscript o l d e r end subscript against H subscript A colon space mu subscript t e e n end subscript not equal to mu subscript o l d e r end subscript. b) Determine the p-value or critical value for this test at alpha equals 0.05. c) What is your conclusion about whether the two age groups spend the same average amount of time on social media
Answers
What is the measure of angle B in degrees?
Answers
Answer: how do I delete my answer?
Step-by-step explanation.
Here's the solution,
=》 C + 112° = 180°
( they form linear pair )
=》 C = 180° - 112°
=》C = 68°
And we know, measure of exterior angle if a triangle is equal to the sum of measures of the opposite interior angles,
So,
=》B = C + 51°
=》B = 68° + 51°
=》B = 119°
anyone know who Howard is ?
Answers
Answer:
Howard stark or Howard the duck?
A man made a loss of 4% on an article he had sold for Tzs 240 more he had made a profit of 8%. Find the cost price
Answers
Answer:
250 rupees
Step-by-step explanation:
Can I get some help on this can’t find any of the answers anywhere
Answers
Answer:
3(9)+20=47
Step-by-step explanation:
47 inches after 9 weeks
The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a
Answers
Answer:
Step-by-step explanation:
http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf
You can find it in this site
Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1
Answers
Answer:B
Step-by-step explanation:
just took the test
P
13pls answer and will mark brainliest
Answers
Answer:
Step-by-step explanation:
1.) 6
2.) A
3.)5
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}
Answers
9514 1404 393
Answer:
C.) (3, 2)
Step-by-step explanation:
The coefficients of y are opposites, so we can add the two equations to eliminate y.
(x +2y) +(x -2y) = (7) +(-1)
2x = 6 . . . . . simplify
x = 3 . . . . . . matches choice C
How do I find the right answer for b)
I got $2760.38 but the answer is $2760.37
Answers
Answer:
I guess u must not round it off
Step-by-step explanation:
Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?
Answers
Is this it I’m not sure
if a=1 and b=2 what is the value of a²+b²?
Answers
Answer:
1^2+2^2=5
Step-by-step explanation:
Answer is 5..
100 Points!!!!! PLEASE HELP. Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Part 2: Writing Equivalent Expressions
3. You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
a. Use either the commutative property or combine like terms to create an equivalent expression.
b. Use the distributive property to create an equivalent expression.
4. Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.
Part 3: Finish the Story
5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four-leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will overall make more money together.
Your verbal expression is good. It reflects your chosen equation.
Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Answers
Answer:
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.
Your verbal expression is good. It refrects your chosen equation.
Part 2: Writing Equivalent Expressions
Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
25(10j + 18 + 5j) = 25(10j + 5j + 18)
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
25(10j + 18 + 5j) = 250j + 450 + 125j
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Now we can subsitute, say 7 for j.
For the first expression, we have:
25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)
= 25(70 + 35 + 18) = 25(123) = 3,075.
For the second expression, we have:
250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.
Thus, we can see that both expressions are equivalent.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Sarah found 3 + 7 = 10 shark teeth.
John found 10 / 2 = 5 shark teeth.
The total money they earned is $5 x 15 = $75.
1) an expression that looks similar would be (could be anything)
4(5j+8+4j)
2) It would become:
four times the sum of five times a number, eight, and four times the same number
3) equivalents would be 4(9j+8)
or:
4(5j)+4(8)+4(4j)
4) say J=1 for simplicity
4(9+8)
=4x17
=68
next one would be:
4x5+4x8+4x4
=20+32+16
=68
ok, this is correct.
5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.
Step-by-step explanation:
Given that the measure of ∠x is 149°, and the measure of ∠y is 110°, find the measure of ∠z.
Answers
Answer:
∠z is 79°
Step-by-step explanation:
Plz help me well mark brainliest if correct!!.....
Answers
Answer:
1st one
Step-by-step explanation:
because it is
Answer:
Option 1
Step-by-step explanation:
In the first one, the first number is lower than -2, the second is between -1 and 0, and 1+1/6 is of course bigger than 0 and smaller than 1+5/6, so it's the right answer.
The second one is the first one reversed, so it's ordered from greatest to lowest.
The third one has a negative number on both ends, but positives in the middle, so it cannot be ordered lowest to greatest. Same with the last one.
Which of the following should not be used as justification in a formal proof?
Postulates
Theorems
Axioms
Venn diagrams
Answers
Answer:
Venn diagrams
Explanation:
A Venn diagram is a widely used diagram style that shows the logical relation between sets.
What is the arc measure of major arc ABC in degrees?
Answers
Answer:
123847323247647525547824817703412
What is i86?
-i
-1
i
1
Answers
B. -i
I'm not sure abt it but that's the answer that showed up hope that helps
Answer:
-1
Step-by-step explanation:
Find the surface area of the prism.
5 yd
4 yd
12yd
6 yd
The surface area is
square yards.
Answers
Answer:
The surface area is 12 square yards.
Step-by-step explanation:
lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities
Answers
Answer: 19/28
Step-by-step explanation:
9/28 participate, so that means that ? dont participate.
28/28 = 1 whole
28 - 9 = 19
so 19/28 students do not participate in after school activities.
The angles shown below are supplementary:
What is the value of x?
BRAINLIEST
PLEASE HELP
SHOW WORK
Answers
Step-by-step explanation:
supplentary means they add to 180
so you can make the formula 180 = 10x + 80
then solve for x
Answer:
x = 10
Step-by-step explanation:
Supplementary angles add up to equal 180°
Thus, 10x + 80 = 180
Now that we have identified the equation we solve for x
10x + 80 = 180
step 1 subtract 80 from each side
80 - 80 cancels out
180 - 80 = 100
we now have 100 = 10x
step 2 divide each side by 10
100 / 10 = 10
10x / 10 = x
we're left with x = 10
If you can help me with these 4 questions I'll give brainliest :))
Answers
Answer:
Mode: 86 ( a number that's repeated the most in the data set)
Range: 47 (Largest number subtracted by the smallest number in the data set)
Median: 56 (Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers)
Mean: 61 (The mean of a set of numbers is the sum divided by the number of terms).
Hope this helps!
A number is five less than twice another number
Answers
Answer:
n= 2x-5
Step-by-step explanation:
The Expression for the statement is x= 2y -5.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
A number is five less than twice another number.
let the number be x and the another be y.
So, the mathematical Expression is
five less than twice another number.
= 2y -5
So, the expression is
x= 2y -5.
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helpppp:((( 10points!!!
14.) Loretta had a pitcher with 165 fl oz of
lemonade to pour into cups at the
birthday party. She filled each cup with
8 fl oz of lemonade until there was not
enough lemonade to completely fill
another cup. How many fluid ounces of
lemonade were left in the pitcher?
F.20 fluid ounces G.5fluid ounces H.21fluid ounces J.157fluid ounces
Answers
Answer:
20 fluid ounces
Step-by-step explanation:
165/8
Answer:
J.157 fluid ounces
Step-by-step explanation:
correct me if I'm wrong
If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12
Answers
Answer:
B
Step-by-step explanation:
A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality
C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]
so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct
D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12
For B, there is no property supporting that statement.
Identify the missing measures
Answers
Answer: The value of the question mark should be 28 Since Angles are vertically Opposite
Which of the following represents a coefficient from the expression given?
5x - 21 + x2
Answers
Answer:
1 or 5
Step-by-step explanation:
A coefficient is "a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy)".
So, in this case, the coefficient of 5x would be 5.
The coefficient of x^2 would be 1.
Hope this helps!
Find the value of x to the nearest tenth
Answers
Answer:
Step-by-step explanation:
To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.
Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .