The total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.
To calculate the total distance Jacob and his dad hiked from their campsite to the top of the mountain, we need to consider the width of the base of the mountain and the height of the mountain.
Given:
Base width of the mountain: 2,600 feet
Since the mountain is pretty much isosceles, we can assume that the height of the mountain is equal to the length of the two equal sides of the triangle formed.
To find the height of the mountain, we can use the Pythagorean theorem.
Let's assume the height of the mountain is 'h' feet.
Using the Pythagorean theorem, we have:
[tex](2,600/2)^2 + h^2 = 2,600^2[/tex]
Simplifying the equation:
[tex]1,300^2 + h^2 = 2,600^2\\1,690,000 + h^2 = 6,760,000[/tex]
[tex]h^2 = 6,760,000 - 1,690,000\\h^2 = 5,070,000[/tex]
Taking the square root of both sides:
h = sqrt(5,070,000)
h ≈ 2,252.96 feet
Now we can calculate the total distance they hiked from their campsite to the top of the mountain by considering the base width and the height of the mountain.
Total distance = Base width + 2 × Height
Total distance = 2,600 + 2 × 2,252.96
Total distance ≈ 2,600 + 4,505.92
Total distance ≈ 7,105.92 feet
Therefore, the total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.
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THIS IS URGENT PLZ HELP!!!
Find three consecutive EVEN numbers such that: The sum of one sixth of the first number, two sevenths of the second number and one half of the third number equals 54
Answer:
12
Step-by-step explanation:
2
4
6
8
10
12
14
16
18
20
22
24
26
A racing car travels around a 2k circuit at 120km/h.
How many laps will it complete in
a) 30 mins b) 1 hour 12mins?
1k 2k 15k
Step-by-step explanation:
cgziaaoaoiaaiwjwjahBZHZISKANA S S
2
Type the correct answer in the box.
212 units
2 units
2 units
8 units
2 units
2 units
2 units
6 units
The area of the figure is
square units.
Reset
Next
Answer:
212×2×2×8×2×2×2×6= 325636
I hope the answer is correct. I hope I will get 5points
Answer:
2 units i hope this helps you
what number goes into the missing space
Answer:
12
Step-by-step explanation:
mrk me brainliest plzzzzzzzzzz
Answer:
b) 12
Step-by-step explanation:
The first image shows the top 2 numbers as 5 and 2 = 5 * 2
=> 10
The Second image shows the top 2 numbers as 3 and 3 = 3 * 3
=> 9
So, the third image shows the top 2 numbers as 2 and 6 = 2 * 6
=>12
Therefore, the missing space in the third circle is b) 12
Hope it helps :)
good luck on finals week :)
you too ty :)
ilysm and you matter <3
Find the sum of the given geometric series: n = 8, r = 3, a = 1/2
Answer:
a⁸=112 is the answer.
Step-by-step explanation:
a⁸=32(1/2)⁷
a⁸=32(7/2)
a⁸=112
The ratio of the numbers of apples to bananas in a market bag is 6:11. There are 144 apples. How many bananas are there?
Answer:
264 bananas
Step-by-step explanation:
11/6 = x/144
cross multiplicaion
6x = 11x144
6x = 1584
x = 265
It males sense since 11 is almost double than 6
264 is almost double than 144
Someone please help will mark as brainliest
Answer:
c:88
Step-by-step explanation:
The angle that measures 92 degrees and the angle with the question mark are supplementary angles which mean their sums make up 180 degrees because they are on a line. So 180 degrees - 92 degrees = 88 degrees.
Find the surface area of the regular pyramid.
PLS HELP ME
Answer:
The surface area equals 45.
Tanesha is mixing paint. She mixes 250 ml of white paint with 750 ml of red paint and 1200 ml of yellow paint. Work out the ratio of white to red to yellow paint. Write the answer in its simplest form
Answer: [tex]5:15:24[/tex]
Step-by-step explanation:
Given
Tanesha mixes 250 ml white, 750 ml red, and 1200 ml yellow paint
So, the ratio of white, red, and yellow paint is
[tex]\Rightarrow 250:750:1200\quad [\text{cancel by 25}]\\\Rightarrow 10:30:48\quad \text{[cancel by 2]}\\\Rightarrow 5:15:24[/tex]
The ratio of three paints is [tex]5:15:24[/tex].
. What are the two factors of 3x^2+
13x + 14
Answer: im pretty sure it is 3x and 13x
Step-by-step explanation:
pls mark brainlest
6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0
In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{6}[/tex] units = g
Step-by-step explanation:
You can solve this either of the 2 ways:
#1.) Sin(60) = g/[tex]2\sqrt{2}[/tex]
=> Sin(60) * [tex]2\sqrt{2}[/tex] = g
=> [tex]\sqrt{6}[/tex] = g
#2.) Cos(30) = g/[tex]2\sqrt{2}[/tex]
=> Cos(30) * [tex]2\sqrt{2}[/tex] = g
=> [tex]\sqrt{6}[/tex] = g
Hope this helps!
Find the slope of the line and that passes through (7, 2) and (-7, 48)
Answer:
-23/7
Step-by-step explanation:
y2 - y1 / x2 - x1
48 - 2 / -7 - 7
46 / -14
= -23/7
Use the distributive property to write an equivalent expression.
10(2x + 8y - 6)
Answer:
20x +80y -60 hope this helped:)
Step-by-step explanation:
alright hear me out... why is the word dictionary in the dictionary? ಠ_ಠ
cause a dictionary contains all known words including dictionary..my turn!.look in the comments!
Help please ASAP thank you!!
And no links please no linksss!!
Given:
The dimensions of the square photo are 12'' × 12''.
The frame is 2 inches wider than the photo in both length and width.
To find:
The perimeter of the frame.
Solution:
We have,
Length of the photo = 12 inches
Width of the photo = 12 inches
The frame is 2 inches wider than the photo in both length and width. So,
Length of the frame = 12+2 inches
= 14 inches
Width of the frame = 12 inches
= 14 inches
The perimeter of a square is:
[tex]P=4a[/tex]
Where, a is the side length.
Now, the perimeter of the square frame with side 14 inches is:
[tex]P=4(14)[/tex]
[tex]P=56[/tex]
Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.
its math algebra 1 i need help
Answer:
The 3rd one which is C
Step-by-step explanation:
It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!
I need help with math
Answer:
Its the second one
Step-by-step explanation:
Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C?
a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°
Given:
In triangle ABC, a=74.1, b= 60.8, c=114.2.
To find:
The measure of angle C.
Solution:
According to the Law of cosine:
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get
[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]
[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]
[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]
[tex]\cos C=-0.42774145[/tex]
Taking cos inverse on both sides, we get
[tex]C=\cos^{-1}{-0.42774145}[/tex]
[tex]C=115.324312[/tex]
[tex]C=115.3^\circ[/tex]
Therefore, the correct option is d.
Which of the following cannot be the probablity of an event?
4
9
0-0.7
1.31
4
9
0.00
9
1.00
0.3
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is 4,9,0-0.7,1.31,4,9 and 9.The probability of an event if from 0 to 1.
hope this helps,have a great day!!
~Pinky~
A bag contains n counters. one counter is blue and the rest are red. Two counters are taken at random from the bag. a) express, in terms of n, the probability that a counter of each colour is taken. Give your answer as a fraction. b) the probability that a counter of each colour is taken is 0.125. How many red counters are in the bag?
Answer:
A] Probability = 1/n ; B] Number = 8
Step-by-step explanation:
Total counters = n , Blue counter = 1 , Red counters (remaining) = n -1
A] Prob (One blue, & One red counter) = (Blue counter / Total counters) x (Red counters / Total remaining counters) = [1 / n] x [ (n -1) / (n-1)] = 1 / n
Alternative, Prob (One red, & one blue) = (Red counter / Total counters) x (Blue counters / remaining counters) = [ (n-1) / n ] x [1 / (n-1) ] = 1 / n
B] Prob (each color , a blue & red counter taken) = 0.125 {Given}
By A], this Prob = 1/n.
So, 0.125 = 1/n → n = 1 / 0.125 = 8
f(x)=∣x∣
g(x)=∣x−1∣+9
We can think of g as a translated (shifted) version of f
Complete the description of the transformation.
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
Comment: The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit larger than 4. g(5) = |5 - 1| = 4.
how do I solve this?
Answer:
The final answer is (2,-1)
(also idek what I did in the photo but I'm positive the answer is (2,-1)
plsss anybody help no links more files they are viruses
Answer:
1- B & C (Same answer and also I'm not that sure)
2- B: y = 8x (I'm sure of this ^^)
3- Option 3
4- 108 degrees
Answer:
1. C
2. B
3. Option 3
4. 108 degrees
Step-by-step explanation:
1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.
2. x is multiplied by 8 to create y, so the equation is y=8x
3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.
4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees
whats the quadratic curve of best fit for the data. estimate what the value of will be when = −4.
(−3,2), (0,5), (1,7.3), (−1,3.3), (−6,5), (−7,7.3)
Answer:
64 is 4 times the difference between Sarah's age, a, and 44Assume Sarah is older than 44
Step-by-step explanation:
13. Each edge of a cube is the same length. What is the surface area of the 1
cube represented by the net shown?
Answer:
6 is the answer
Step-by-step explanation:
Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x .
Answer: [tex]x(x+4)[/tex]
Step-by-step explanation:
Given
The rug is 4 feet longer than its width
Suppose the length of the width is x
Length is given by x+4
So, the product of length and width is equal to the area of the rug
[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]