Part A: What is the shortest distance between the gymnasium and the library? Round your answer to the nearest tenth of a kilometer.
Part B: Gabe walks the shortest distance from his house to the gymnasium, then the shortest distance to the library. What is the total distance Gabe walked?
Answers
Answer:
4.5 km
10.3 km
Step-by-step explanation:
The shortest distance from gymnasium to library:
Each square box representing 1 unit
1unit = 1 km
A.)
Distance, d ;
Using Pythagoras :
d = sqrt(2² + 4²)
d = sqrt(4 + 16)
d = sqrt(20)
d = 4.47
d = 4.50 (nearest tenth)
Shortest Distance from gymnasium to library
B.)
shortest distance from his house to the gymnasium, then the shortest distance to the library
House to gymnasium (d1) :
d1 = sqrt(3² + 5²)
d1 = sqrt(9 + 25)
d1 = sqrt(34)
d1 = 5.83
Gymnasium to Library (d2) :
d2 = sqrt(2² + 4²)
d2 = sqrt(4 + 16)
d2 = sqrt(20)
d2 = 4.47
Total distance = (d1 + d2) = (5.83 + 4.47) = 10.3km
Related Questions
A bike tire just ran over a nail, and it is losing pressure at a rate of 5% every minute. The tire pressure is currently 900 kilopascals. What will it be in 7 minutes?
Answers
9514 1404 393
Answer:
629 kilopascals
Step-by-step explanation:
The tire pressure is given by the exponential function ...
p(t) = 900·0.95^t
where t is in minutes and p is in kilopascals.
p(7) = 900·0.95^7 ≈ 629 . . . . kilopascals
2 1/4 + 8/3what is the answer
Answers
Answer:
59/12
Step-by-step explanation:
2 1/4=9/4
9/4+8/3=27/12+32/12=59/12
Find the values of x and y.
Answers
Answer:
omg I absolutely love your profile picture:)
Someone please help
Answers
Answer:
43.00 this is correct!!!!!
The value of(-2 )-5
please help
Answers
Answer: The answer is B.
Step-by-step explanation:
Just multiply -2 five times.
-2 * -2 * -2 * -2 * -2
-2*-2 = 4
-2*-2 * -2 = -8
4 * -8
= -32
decimal form: .03125
Answer: I think the answer is B.
You go to a restaurant and order $137.61 worth of food. You decide to tip the waiter
18%. You also have to pay a tax of 6.5% on the original bill. What is the final cost of the meal?
Step by Step
Answers
Answer:
I got 2
Step-by-step explanation:
The final cost of meal is $171.35
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
price of food = $137 . 61
Tip = 18%
tax = 6.5%
Now, price after giving tip
=137.61 x 0.18
= 24.7698
and, after tax
=137.61 x 0.065
=8.94465
Hence, final cost of meal = 137.61 + 24.7698 + 8.94465 = $171.35
Learn more about unitary method here:
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Find the value of (1/5)⁻² + (1/2)⁻³ + (1/4)⁻¹
Answers
Answer:
Answer = 37
Step-by-step explanation:
= (5)² + (2)³ + (4)¹
= 25 + 8 + 4
= 37 Answer
Answer: The answer is 37
Step-by-step explanation:
Step 1: Use Negative Power Rule: x^-a=1/x^a. So 1/(1/5)^2+(1/2)^-3+(1/4)^-1
Step 2: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/5^2+(1/2)^-3+(1/4)^-1
Step 3: Simplify 5^2 to 25. So 1/1/25+(1/2)^-3+(1/4)^-1
Step 4: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/(1/2)^3+(1/4)^-1
Step 5: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/25+1/1/2^3+(1/4)^-1
Step 6: Simplify 2^3 to 8. So 1/1/25+1/1/8+(1/4)^-1
Step 7: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/1/8+1/1/4
Step 8: Invert and multiply. 25+1/1/8+1/1/4
Step 9: Invert and multiply. 25+8+1/1/4
Step 10: Invert and multiply. 25+8+4
Step 11: Simplify 25+8 to 33. So 33+4
Step 12: Simplify. So the answer is 37
A P E X
If each of the numbers in the following data set were multiplied by 18, what would be the new median of the data set? 14, 20, 18, 58, 71, 36
A. 504
B. 360
C. 324
D. 648
Answers
Answer:
504
step by step : 14x18=252. 20x18=360. 18x18=324. 58x18=1044. 71x18= 1278. 36x18=648. 28x18=504.
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.
504
Find the y-intercept of the line, Find the slope of the line and, Find the equation of the line.
Answers
Slope: 2/3
Equation: y=2/3x+4
Slope-Intercept Form: y=mx+b
Slope: m
HOW TO FIND m:
Rise/Run
4/6 (it can be simplified)
We get two thirds (2/3)
y-intercept: (b)
4
Equation: y=2/3x+4
I really hope it helps:)
- An Acellus Student
Plus a scientific fact:
We have 100 billion neurons in our brain:)
What is the magnitude and direction of the PQ with tail and head points P(-6, 0) and Q(2, 4)?
8.9 units, 63.4° north of east
8.9 units, 26.6° north of east
13.4 units, 180° west
13.4 units, 0° east
Answers
Answer:
What is the magnitude and direction of the PQ−→− with tail and head points P(-6, 0) and Q(2, 4)? magnitude = √(64+16) = √80 = appr 8.9 , ruling out c.
hope this helps
The magnitude of PQ is 8.9 and PQ is making an angle of 26.57° so 8.9 units, 26.6° north of east will be the correct answer.
What is a vector?A vector is a quantity in which direction and magnitude both matters called a vector.
A vector joining by two points (x₁,y₁) and (x₂,y₂) will be (x₂-x₁)[tex]\hat{i}[/tex] + (y₂-y₁)[tex]\hat{j}[/tex]
The magnitude of this vector will be
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The direction of this vector will be
[tex]\\tan^{-1}(\frac{y_2-y_1}{x_2-x_1)}[/tex]
Given P(-6,0) and Q(2,4) so vector joining by
[tex]\vec{PQ}[/tex] = [2-(-6)][tex]\vec{i}[/tex] + [4-0][tex]\vec{j}[/tex]
[tex]\vec{PQ}[/tex] = 8[tex]\vec{i}[/tex] + 4[tex]\vec{j}[/tex]
now, the magnitude [tex]\vec{PQ}[/tex] will be
⇒ [tex]\sqrt{(8^2+4^2)}[/tex]
⇒ 8.944
The direction of the vector [tex]\vec{PQ}[/tex] will be
⇒ [tex]\tan^{-1}(\frac{4}{8})[/tex]
⇒26.57°
So, the magnitude of PQ is around 8.944 and the direction is 26.57° from the positive x axis so it's north of the east.
For more information about vector
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9. Make Sense and Persevere Write and graph
exponential functions to model the number
of students at School A and at School B as a
function of number of years. In about how
many years will the number of students at both
schools be approximately the same? Explain
how you can use a graph to determine the
answer
School A
School B
240 students
decreasing at
an awal sale of 2%
180 students
increasing at
an annual rate of 3%
Answers
Answer:
school a
Step-by-step explanation:
240 students
brbdbbsguZkks
can someone help with this question please
Answers
Answer:
25sqrt(3)
Step-by-step explanation:
The answer to b would be 12 because 4sqrt(3) * sqrt(3) = 12
The area is bh/2, so take 12 * 4sqrt(3) and divide by two
Plss help me I need help I have a f
Answers
Answer:
1 1/7
Step-by-step explanation:
By the way for help on math I would reccomend Mathpapa it helps a lot!
Evaluate the expression, 7x+8(x-3). Assume that x=4.
Answers
Answer: 36
Step-by-step explanation:
(7x4) +8 (4-3)
Answer:
22
Step-by-step explanation:
If x = 4 then the equation will be
7(4) + 8(4 -3)
14 + 32 - 24
= 22
Plsi I’ll give brainless
Answers
Answer:
It's below in the explanation
Explanation
1. x has to be greater than 2. So 3 and 4 both work
2. x has to be less than 22. So 21 and 20 both work
3. t has to be less than 5. So 3 and 4 both work
4. There isn't a number there. what is 5 less that?
5. j has to be less than 5 so 5 and 4 both work
6. y has to be less than 4. So 4 and 3 both work
7. B has to be greater than 26. so 26 27 and 28 all work
8.There isn't a number there
9.b can be 3 or greater than 3.
10.z can be 6 or greater than 6
Hope this Helps!
Sophia bought snacks for her team's practite. She bought a bag of chips for $1.84 and
a 6-pack of juice bottles. The total cost before tax was $9.94. How much was each
bottle of juice? I WILL GIVE THE PERSON WHO ANSWERS THIS FOR ME A BRAINLIEST
Answers
Answer:
1.35
Step-by-step explanation:
What’s the answer?
I want it now! Please?
Answers
Answer:
1.827
Step-by-step explanation:
write the product using exponents.
3x3x3(y)(y)(y)
what is the expression?
Answers
Answer:
The answer is 3x +y^3
Step-by-step explanation:
I hope this helps
Answer:
ew math yuck
Step-by-step explanation:
I need help with 1 over x minus 8 so like 1/x-8
Negative Exponent
Answers
Answer:
1-8x
Step-by-step explanation:
1/x - 8
x × 1/x - 8× x
1-8x
A person travels 10 miles due north, then 5 miles due west, then 14 miles due north and then 12 miles due east. How far is that person from their starting point?’
Answers
Angle A and angle B are complementary. Angle A has a
measure of (2X + 16). Angle B has a measure of 40. What is
the value of x?
Answers
Answer:
x = 17
Step-by-step explanation:
Angle A and angle B are complementary.
Therefore,
(2x + 16)° + 40° = 90°
(2x + 16)° = 90° - 40°
(2x + 16)° = 50°
2x + 16 = 50
2x = 50 - 16
2x = 34
x = 34/2
x = 17
PLEASE ANSWER THIS ILL GIVE BRAINLIEST
Answers
Answer:
(-4, -5)
Step-by-step explanation:
-4x + 2y = 6
-4x + 2(x - 1) = 6
-4x + 2x - 2 = 6
-2x - 2 = 6
-2x - 2 + 2 = 6 + 2
-2x = 8
-2x/-2 = 8/-2
x = -4
------------------------
y = x - 1
y = -4 - 1
y = -5
-------------------------
-4(-4) + 2(-5) = 6
16 + -10 = 6
6 = 6
Which quadrant has a negative X and a positive Y? *
Answers
Answer:
quadrant 3 ( bottom left)
Step-by-step explanation:
Answer:
Quadrant || so point D
Step-by-step explanation:
the coordinates are (-4,5)
help pleaseeeeeeee i will give brainlest!
Answers
Answer:
35% chance
Step-by-step explanation:
Stay safe and healthy
A rectangular prism has a width of 3 cm and a height of 8cm and a length of 9 cm. What is the surface area of the prism?
Answers
Answer:
A=246cm
Step-by-step explanation:
L= 9
W= 3
H= 8
2·(3·9+8·9+8·3)= 245
Formula= A=2(wl+hl+hw)
Find x, to the nearest hundredth.
Answers
Answer: 13.99
Step-by-step explanation:
Using sine rule
((sin 90)/18)= ((sin (180-(90+39)))/x)
((sin 90)/18)=((sin 51)/x)
(1/18)=(0.7771/x)
Cross multiply
x= 0.7771*18
x= 13.99
An arithmetic sequence has a common difference of 5 and the 3rd term is 15. What is the 5th term?
Please help me!
Answers
Answer:
an=8n−14
Step-by-step explanation:
for an AP
where
a
1
=
the first term
d
=
the common difference
then we have
a
1
,
(
a
1
+
d
)
,
(
a
1
+
2
d
)
,
...
,
a
1
+
(
(
n
−
1
)
d
)
,
.
.
we are given the third term
10
=
a
1
+
2
d
−
−
(
1
)
and the fifth term
26
=
a
1
+
4
d
−
−
(
2
)
subtract
(
2
)
−
(
1
)
16
=
2
d
⇒
d
=
8
sub into
(
1
)
10
=
a
1
+
2
×
8
⇒
a
1
=
−
6
so the nth term
a
n
=
a
+
(
n
−
1
)
will be
a
n
=
−
6
+
8
(
n
−
1
)
a
n
=
8
n
−
14
Find the slope of the line that passes through the points (3,3) and (8,6).
What’s the slope that passes through the points (3,3) and (8,6) .
Answers
Answer:
slope:3/5
Step-by-step explanation:
Can you simply these fractions?
Answers
Answer:
1. 1/7
2. 1/5
3. 5/7
4. 5/6
5. 1/3
6. 2/5
7. 2/3
8. 3/7
9. 1/10
10. 4/7
Step-by-step explanation:
Hope this helps!
Answer:
2/14 = 1/7
3/15 = 1/5
25/35 = 7/5
20/24 = 5/6
6/18 = 1/3
8/20 = 2/5
10/15 = 2/3
6/14 = 3/7
4/40 = 1/10
20/35 = 4/7
Step-by-step explanation:
In ΔEFG, the measure of ∠G=90°, GE = 32 feet, and EF = 41 feet. Find the measure of ∠E to the nearest tenth of a degree.
Answers
Answer:
m∠E = 38.7°
Step-by-step explanation:
If you make a drawing it will help. What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.
The cosine of a angle = adjacent side/hypotenuse.
Therefore cos E = 32/41
arccos (32/41) = 38.7°
Answer:
The answer is 38.7
Step-by-step explanation: