Answer:
35 miles I'm not sure I think my phone is glitching out on the question because It is in a weird format
The approximate distance from the ranger's current position to the tree is 0.652 miles.
To solve this problem, we can use trigonometry and create a diagram based on the given information.
Let's assume the ranger's starting position (marked A) is the origin (0,0) on a coordinate plane, and she walks along the river to position B. We need to find the distance between the ranger's current position and the tree.
Based on the information provided:
The tree is sighted about 60 degrees north of east from position A.
The tree is sighted at 40 degrees north of west from position B.
Now, let's calculate the coordinates of position B. Since each unit on the map is 1 mile, we can assign coordinates (x, y) to position B.
At position B, we can break down the distance into the horizontal and vertical components:
The horizontal distance from A to B is the same as the horizontal distance from B to the tree.
The vertical distance from A to B is the same as the vertical distance from B to the tree.
Let's denote the horizontal distance as d h and the vertical distance as d v.
From position A, we have:
Horizontal component: d h = d * cos(60°)
Vertical component: d v = d * sin(60°)
From position B, we have:
Horizontal component: d h = d * cos(40°)
Vertical component: d v = d * sin(40°)
Since both d h and d v are the same at position B, we can set up the following equation:
d * cos(40°) = d * cos(60°)
Simplifying the equation, we have:
cos(40°) = cos(60°)
To solve for d, we can divide both sides by cos(40°):
d = cos(60°) / cos(40°)
Using a calculator or trigonometric table, we can find the values of cos(60°) and cos(40°):
cos(60°) ≈ 0.5
cos(40°) ≈ 0.766
Substituting these values:
d ≈ 0.5 / 0.766
Calculating the result:
d ≈ 0.652
Therefore, the approximate distance from the ranger's current position to the tree is 0.652 miles.
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Is 5/6 greater or is 9/10 greater
Answer:
9/10
Step-by-step explanation:
9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333
Answer: 5/6
Step-by-step explanation:
because with fractions if the bottom is less than it is more than a number bigger tha it
PLZ HELP ASAP it’s due by midnight
Use the square root property to solve: 5x^2+8 =133
Please help
Answer:
x = ± 5Step-by-step explanation:
See the steps
5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5Answer:
x=5
x=−5
Step-by-step explanation:
5x^2+8 =133
Subtract 8 from both sides.
5x^2=133−8
Subtract 8 from 133 to get 125.
5x^2=125
Divide both sides by 5.
x^2=125/5
Divide 125 by 5 to get 25.
x^2=25
Take the square root of both sides of the equation.
x=5
x=−5
You want to get a job to earn at least $120 per week, but you can not work more than 18 hours a week. There is online work you can do that only pays $4 per hour, or you could help your uncle for $8 per hour as an apprentice repair mechanic. Is the below a possible solution? (Type your fill-in-the-blank answers).
Captionless Image
Answer:
hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120
Step-by-step explanation:
Geometry 3 help please
Answer:
Ok its A= x +4 because that its lower than the other one so since its lower it will be better
The graph of a linear system is shown. y oo D ONUR 1 کلو -545 -4 -3 -2 -11 1 2 3 4 5 6 7 8 9 10 What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(2,7)
Step-by-step explanation:
Peanuts are priced at 3.38 per pound. Derek buys a sack of peanuts for 15.82. Which measurement is a reasonable estimate of the weight of the peanuts that are in the sack?
Given :
Price per pound of peanuts is, P = $3.38 .
Derek buys a sack of peanuts for $15.82.
To Find :
The weight of the peanuts that are in the sack.
Solution :
Let, weight of peanuts that are in the sack are x.
So, [tex]x = \dfrac{15.82}{3.38}\\\\x = 4.68\ pounds[/tex]
Therefore, number of pounds in the sack is 4.68 pounds.
stop saying yall gon help me and not help me......
but anyays can sum1 go to meh acc nd help pls ill give brainlist
Answer:
Sure thing. Which question do you need help with? ill do the best i can.
y = –x + 4 in standard form
Answer:
x-y=4
Step-by-step explanation:
y=x−4
The standard form of a linear equation is
Ax+By=C.
Rewrite the equation with the sides flipped.
x−4=y
Move all terms containing variables to the left side of the equation.
Tap for more steps...
x−y−4=0 Add 4
to both sides of the equation.
x−y=4
(hope this helps can i plz have brainlist :D hehe)
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2
paula is draining her fish tank. when she starts draining it, the height of the water is 33 cm. six mintues later, the height of the water is 15 cm.
If the water continues to drain at this rate until it is empty, how many total minutes will it take Paula to drain her fish tank?
yes the answer is 11 minutes
Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm.
3 cm
8 cm
A. 36 77 cm3
B. 54 77 cm3
C. 108 77 cm3
D. 18 TT cm3
Answer:
B
Volume of cylinder is [tex]\pi r^2*h[/tex]
a gazelle can run away from a cheetah with a speed of 35.0 m/s. if the average gazelle has a mass of 40.00 kg, what is the gazelles kinetic energy,in kilojoules?HELPPP
9514 1404 393
Answer:
24.5 kJ
Step-by-step explanation:
Kinetic energy is given by the formula ...
KE = 1/2mv² . . . . . where m = mass
The gazelle's kinetic energy is ...
KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters
= 24,500 J . . . . . . 1 J = 1 kg·m²/s²
= 24.5 kJ . . . . . . . 1000 J = 1 kJ
Someone help plz????
Answer:
the answer is 24.1 MM
Step-by-step explanation:
Answer:
approx. 24.1 mm squared (when rounded to the nearest 10th)
Step-by-step explanation:
Surface area of cylinder = 2πr(h+r)
plug in what we know
2π*1.2(2+1.2)
solve
approx. 24.1 mm squared
What is the value of 0.1562 rounded to the nearest hundredth place?
Answer:
0.16
Step-by-step explanation:
8. Find the slope of the line that contains the
following points:
b. (6, -2) and (-3, 1).
Answer:
slope = [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]
Thus, the slope is [tex]-\frac{1}{3}[/tex].
one fourth of two thirds
What is that in Verbal expression fractions
The sum of four consecutive integers is 170. Write an equation that can be used to find the smallest integer.
Answer:
The Equation to find the smallest integer =
4x + 6 = 170
The smallest integer = First integer = x = 41
Step-by-step explanation:
Four consecutive integers is represented by:
First Integer = x
Second Integer = x + 1
Third Integer = x + 2
Fourth Integer = x + 3
The sum of four consecutive integers is 170.
x + x + 1 + x + 2 + x + 3 = 170
The Equation to find the smallest integer =
4x + 6 = 170
4x = 170 - 6
4x = 164
x = 164/4
x = 41
Therefore:
The Equation to find the smallest integer =
4x + 6 = 170
The smallest integer = First integer = x = 41
Write a expression shows an expanded form of -8x^3y^2(x^2-4y)
Answer:
Step-by-step explanation:
-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y
= -8x³⁺⁵y² + 32x³y²⁺¹
= -8x⁸y² + 32x³y³
Find the length of the third side. If necessary, write in simplest radical form
Answer:
7
Step-by-step explanation:
a squared + b squared = c squared
plug it in to get
4 root 2 squared +b squared = 9 squared
(4 root 2)(4 root 2)=32
and 9 squared is 81
so the equation is
32+b squared = 81
subtract 32
b squared = 49
square root both sides
b=7
The length of the missing side is [tex]3\sqrt{5}[/tex]
Pythagoras theorem
The square of the hypotenuse is equal to the sum of the square of the other two sides
From the given diagram;
[tex]9^2 = (4\sqrt{2} )^2 + x^2[/tex]Get the unknown side "x"
[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]
Hence the length of the missing side is [tex]3\sqrt{5}[/tex]
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A circular coin is made from steel.
Steel has a density of 8.05g/cm3.
If the coin has a radius of 10mm
and depth of 3mm, find the mass of
the coin (to 2 dp).
Answer:0.94
Step-by-step explanation:
V=pir^2h=pi * 1^2 * 0.3 = 0.94248
Ashley spent 30% less buying her English reading book than Tommy. Gianna spent 9% less than Tommy. Gianna spent more than Ashley by what percent.
Answer:
Gianna spent 21% more
Step-by-step explanation:
30-9=21
Help me with this pls
Answer:
C.)-5
Step-by-step explanation:
y2-y1/x2-x1
(-9,6) (-6,-9)
-9-6=-15
-6-(-9)=3
-15/3=-5
Answer:
A. -1/5
Step-by-step explanation:
The y increases by 3 and the x decreases by 15. Utilizing rise/run form (y/x,) you get -1/5.
which graph showed exponential growth
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin. Why is the image similar to the pre-image? Check all that apply
1. The corresponding sides of the triangles are congruent
2. The corresponding angles of the triangles are congruent
3. The corresponding sides of the image are 5 times as long as those of the pre-image
4. The image is a reduction of the pre-image
5. Neither the dilation nor the rotation change the shape of the triangle
6. The rotation reduces the size of the triangle
Please hurry, thank you!
Answer
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Options 2, 4 and 5 are the correct answer.
Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides.
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles.
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position.
Therefore, options 2, 4 and 5 are the correct answer.
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A bookshop has an offer.
"Buy one book and get one free!"
Ria gets 8 books from the shop with that offer.
The normal price of each book is £5.99.
How much does Ria spend?
if radius of circle is 7cm. find its diameter with formula.
Answer:
the radius is 3.5 cm
the Diameter is 7 cm
Some money was invested at 12% interested for 2 years. If the interest was $21, how much was invested?
Answer:
$87.5 was invested
Step-by-step explanation:
10.5 is 12% of 87.5, so if the money was in the bank for 2 years, we would have to do 10.5*2 which is 21, and that's how much money was gained from the investment.
The sequence below shows a certain company's expected net worth, in millions of dollars, after 1, 2, 3, and 4 years and so on).
14.5, 13.1, 11.7, 10.3, ...
th
Which function models the n term of this sequence, for n = 1, 2, 3, 4, ...?
A f(n) = 14.5 – 1.4(n - 1)
B f(n) = 14.5+ 1.4(n - 1)
с. f(n) = 14.5 – 1.4n
D. f(n) = 14.5+ 1.4n
Answer:
the answer is f(n)=14.5−1.4n
Step-by-step explanation:
Hope this helps
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....
Here, a=14.5 and d=14.5-13.1=1.4
Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get
f(n)=14.5+1.4(n-1)
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
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4(-2x-7) use distributive property to expand it
Answer:
-8x-28 is after the distributive prop simplified
Step-by-step explanation:
4(-2x-7)
(4×-2x)-(4×-7)= -8x-28