Based on the calculations, the height of this ravine is equal to 143.95 feet.
Given the following data:
Height of ravine = 100 feet.How to calculate the length of rope.First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.
Let the height of ravine be h.
Note: We would choose 46° as a measure for angle A.
From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:
[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]
h = 143.95 feet.
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In this figure, ∠1 and ∠2 are located on a line.
Let m∠1=x° and m∠2=(45x)°.
What is the value of x?
Enter your answer in the box.
Answer:
Your answer would be 100
Step-by-step explanation:
4/5 of 100 is 80, 100 and 80 add up to 180, which makes it a supplementary angle, we know it is a supplementary angle because the figure has a line, so x = 100
14.01 or 13 or 10 or 107 or 15 or 20 or 14
Answer:
14.01 and 107
Step-by-step explanation:
First let’s review what all the crodile mouths mean:
< = # is less than the # on the right
> = # is more than the # on the right
≤ = # less than or equal to # on the right
≥ = # is greater than or equal to # on right
Equation:
y ≥ 14
To make this true on the values that are greater than or equal to 14 can go.
This means that these values would be correct out of the options:
14.01
107
Furthermore, 13 and 10 don’t make the equation true because neither are greater than or equal to the value 14.
What is the measure of the missing angle?
39 faren height plus 33 plus an unknown number to equal 180
Answer:
108
Step-by-step explanation:
39 + 33 + x = 180
To find the missing angle, we have to add together the two angles that are given and then subtract that from 180.
39 + 33 = 72
180 - 72 = 108
Therefore, our answer is 108 degrees.
I hope this helps! Have a lovely day!! :)
There are 210 counters in a bag.30 percent of these counters are red.Work out the number of red counters in the bag
Answer:
63
Step-by-step explanation:
30 percent * 210 =
(30:100)* 210 =
(30* 210):100 =
6300:100 = 63
We have 6 tents for 18 campers each tent holds 2 or 4 campers exactly how many of our tents hold 2
Answer:
3 tents hold 2 campers
Step-by-step explanation:
The given relations can be expressed as a single equation in the number of 2-camper tents.
__
Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...
2x +4(6 -x) = 18
-2x +24 = 18
-2x = -6 . . . . . . subtract 24
x = 3 . . . . . . . divide by -2
Exactly 3 tents hold 2 campers.
_____
Additional comment
The other 3 tents hold 4 campers.
Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.
Find the area of triangle
Answer:
Step-by-step explanation:
A = 1/2 bh = 1/2 (12)(17) = 204 square inches
Element X decays radioactively with a half life of 7 minutes. If there are 980 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 40 grams?
Answer:
32.3m
Step-by-step explanation:
Use equation A = Ao(0.5)^(t/t½)
Now input values: 40 = 980(0.5)^(t/7)
rearrange for t: t = [7ln(2/49)]/ / ln(0.5). Then from here, you can extract 32.3 as your answer
Answer:
t = 32.3 min
Step-by-step explanation:
This is an example of half-life exponential decay.
For situations like this we have a formula.
[tex]N = N_{0} * (\frac{1}{2})^n[/tex]
N represents the end amount of parent element, N (naught) represents the starting amount of the parent element, and n being the amount half-lifes that have occurred.
Now n, can be broken down further into t/p, which means the time elapsed (t) divided by time it takes for one decay period (p), which essentially gives you the amount of half-lifes that have occurred. So you can represent the formula as:
[tex]N = N_{0} * (\frac{1}{2})^{t/p}[/tex]
The question tells you you start off with 980 grams of Element x, so put that for N naught. [tex]N = 980g * (\frac{1}{2})^{t/p}[/tex]. Then it tells you half-life is 7 minutes, which means the period it takes for one half-life to occur is 7, which is p. [tex]N = 980g * (\frac{1}{2})^{t/7min}[/tex]. You are also told that you end up with 40 grams, so put that in for N. [tex]40g = 980g * (\frac{1}{2})^{t/7min}[/tex]. Now we solve for t, the time elapsed.
(This is the part where you use logs to solve, but if you are still rough on this, I'll walk you through it)
Start off by dividing on both sides.
[tex]\frac{40g}{980g} = (\frac{1}{2})^{t/7min} \\, \frac{2}{49} = (\frac{1}{2})^{t/7min}[/tex]
Take the log of both sides.
[tex]log(\frac{2}{49}) = log( (\frac{1}{2})^{t/7min})[/tex]
Now we gotta get t out of the exponent, we'll do this by using log laws. More specifically the exponent law for log laws which states. [tex]log(b^x) = x*log(b)[/tex]. If we apply that to our situation like so.. [tex]log((\frac{1}{2})^{t/7min}) = \frac{t}{7min} * log(\frac{1}{2})[/tex]
Now our whole equation now looks like this:
[tex]log(\frac{2}{49}) = \frac{t}{7min} * log( \frac{1}{2})[/tex]
keep simplifying,
[tex]\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = \frac{t}{7min}[/tex]
[tex]7min *\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = t\\\\t = 32.3min \\[/tex]
Now you have your answer!
Which expression is equivalent to x + 11?
11 x
11 + x
11 - x
- x + 11
Answer:
11 + x
Step-by-step explanation:
x + 11 can be reversed as 11 + x and it would still mean the same thing.
11x means 11 * x so does not match
11 + x and x + 11 same this is correct answer tho
last two are also same 11 - x and -x +11
Someone help with this i beg!
[tex]==================================[/tex]
the rule for the first sequence is "add 1"
so we add 1 in order to get to the next term.
the rule for the next sequence is "add 5"
here, we add 5 in order to get to the next term.
the rule for the next sequence is "subtract 2"
in this sequence, we subtract 2 every time.
the rule for the next sequence is "add 7"
so we add 7 (13+7 does equal 20):)
the rule for the fifth sequence is "multiply by 2"
so this is a geometric sequence, because we use multiplication in order to get to the next term.
the rule for the sixth sequence is "subtract 6"
- we subtract 6 each time :)
the rule for the 7th sequence is "add 2"
the rule for the 8th sequence is "subtract 3"
the rule for the 9th sequence is "multiply by 7"
[tex]\rule{200}{2}~\rule{100}{2}[/tex]
Let's write down the next 2 terms for each sequence.
(the terms are highlighted in bold)
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
4, 9, 14, 19, 24, 29, 34, 39
32, 30, 28, 26, 24, 22, 20, 18
6, 13, 20, 27, 34, 41, 48, 55
3, 6, 12, 24, 48, 96, 192, 384
36, 30, 24, 18, 12, 6, 0, -6
-13, -11, -9, -7, -5, -3, -1
48, 45, 42, 39, 36, 33, 30
1, 7, 49, 343, 2401, 16807, 117649
[tex]\rule{200}{2}[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly ask me; I will comment and/or edit my answer.!!!!!PLEASE HELP!!!!!
Over which interval of the domain is function m negative?
Y
10
8-
6-
어
4
+
2-
X
1-10 -8
-6
-4
4
6
8
10
-2 1012
-2
-4-
-6
-8-
-10-
O A. (6, )
O B. (0, )
Answer:
The answer would be A. (6, infinity)
Step-by-step explanation:
Domain is the x values in an equation, and range is the y values. From my understanding, the question is asking what domain range is the range, or y value, negative. The equation has an x intercept of 6, and it goes to the right for infinity. At x=7, y is -1/2.
I hope this helps!
What is the run of a 50% slope with a rise of 50 feet?
a
Answer: 25
Step-by-step explanation: because 50% of 50 is 25
Barry earns $1300 a month. He spends 30% of this money on rent and 2/7 on bills. How much of the $1300 does he have left?
Answer:
It should be $538 left after the bills
In a search engine, 40 000 searches are done every
minute.
How many searches are done in an hour?
Write your answer in standard index form.
Answer:
The answer is 2.4 x 10^6
Step-by-step explanation:
You're going to multiply 40,000 by 60
40,000*60=2400000
Therefore the answer in standard index form will be 2.4 x 10^6
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
factorise fully 4x squared + x cubed pls
The value of the equation is A = x² ( 4 + x )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4x squared + x cubed
Substituting the values in the equation , we get
A = 4x² + x³ be equation (1)
On simplifying the equation , we get
Taking the common factor as x² in the equation , we get
A = x² ( 4 + x )
Therefore , the value of A is x² ( 4 + x )
Hence , the factorized equation is x² ( 4 + x )
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evaluate the expression when x = 2 x^2 + 8x – 6
Answer:
x =(7-√97)/-4= 0.712
Or
x =(7+√97)/-4=-4.212
What is the slope of the line that has equation. y -4.33=1.67(x+7.95)
The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 7,200 square meters. What is the perimeter of the track? Use 3.14 for Pi
Answer:
The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (160 meters).
To find the circumference of the circle, we need to know the diameter.
Circumference of a circle: dπ or 2rπ, where d represents diameter and r represents radius
The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is 14400 and that its length is 160.
Width: area divided by length
14400160=90
The diameter of the circle and the width of the rectangle is 90 meters.
Circumference:
90⋅π=90π→ If you are using an approximation such as 3.14 for π, multiply that by 90
Add 160⋅2 to the circumference since the lengths of the rectangle are also part of the perimeter.
160⋅2=320
The perimeter of the track is 548.4 meters.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Given that, the area of the rectangle is 7,200 square meters.
From the figure, length of a rectangle = 120 meter
Here, area of rectangle = Length×Width
120×Width=7200
Width = 60 meter
So, diameter of semicircle is 60 meter.
Radius = 30 meter
Perimeter of track = Perimeter of rectangle + Circumference of two semicircle
= 2(120+60)+2πr
= 360+2×3.14×30
= 360+188.4
= 548.4 meters
Therefore, the perimeter of the track is 548.4 meters.
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The accompanying table shows the number of bacteria present in a certain culture
over a 5 hour period, where x is the time, in hours, and y is the number of
bacteria. Write an exponential regression equation for this set of data, rounding all
coefficients to the nearest hundredth. Using this equation, determine the number o
bacteria present after 13 hours, to the nearest whole number.
Hours (x) Bacteria (y)
0 1892
1
2106
2
2
2342
3
2525
4
2819
4
5
5
3042
The general form of the exponential regression equation that models the number of bacteria is y = ab^x
The exponential regression equation is y = 1910.38 * 1.1^x
How to determine the exponential regression equation?The dataset is given as:
x y
0 1892
1 2106
2 2342
3 2525
4 2819
5 3042
To determine the exponential regression equation, we make use of a graphing calculator.
From the graphing calculator, we have the following calculation summary
a = 1910.38
b = 1.10
An exponential regression equation is represented as:
y = ab^x
So, we have:
y = 1910.38 * 1.1^x
Hence, the exponential regression equation is y = 1910.38 * 1.1^x
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Vocabulary Builder
Visualize It.......
Complete the bubble map using the review words.
Review Words
fraction
Videntity Property
of Multiplication
multiple
product
unit fraction
multiplication
The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:
a * 1 = a
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Whoever answers first gets 30 points plus brainliest
how many months are there in 7 years???
good luck ;)
Answer:
84
Step-by-step explanation:
1 year= 12 months
7 years × 12 months each= 84 months in total for 4 years
What is the range of the function y = e superscript 4 x y less-than 0 y greater-than 0 y less-than 4 y greater-than 4
The range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.
It is given that the function [tex]\rm y= e^4^x[/tex]
It is required to find the range of a function [tex]\rm y= e^4^x[/tex]
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm y= e^4^x[/tex]
If we plot a graph of [tex]\rm y= e^4^x[/tex]:
When x = 0 then [tex]\rm y= e^4^\times^0[/tex] ⇒ 1
When x = 1 then [tex]\rm y= e^4^\times^1[/tex] ⇒ 54.598 and so on.
The graph will exponentially go up as shown in the picture because the 'e' is the positive value(e=2.718) and the power of negative or positive values is never be a negative result.
Thus, the range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.
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Answer:
B, all real numbers less than 0
Step-by-step explanation:
edge 2022
Can someone please help??? I can’t figure this out. Pleaseeee
Answer:
120°=1
Step-by-step explanation:
step 1 do 2/1
step 2 cut braket and ans will be 53
Which ratio is not equivalent to 3/5 ?
A. 15/20
B.6/8
C.30/50
D.12/20
Answer:
A & B
Step-by-step explanation:
15/20 is not equal
6/8 is not equal
30/50 is equal
12/20 is equal
Hey there!
3/5
= 3 ÷ 5
= 0.60
= 60%
• So, we’re looking for something that’s equivalent to 0.60 or 60%
Option A.
15/20
= 15 ÷ 20
= 15 ÷ 5 / 20 ÷ 5
= 3 / 5
= 3 ÷ 5
= 0.60
= 60%
So, Option A. could possibly be your equivalent to your fraction
Option B.
6/8
= 6 ÷ 8
= 6 ÷ 2 / 8 ÷ 2
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
So, Option B. isn’t equivalent because it’s too big and not what we’re looking for!
Option C.
30/50
= 30 ÷ 50
= 30 ÷ 5 / 50 ÷ 5
= 6 / 10
= 6 ÷ 2 / 10 ÷ 2
= 3 / 5
= 3 ÷ 5
= 0.60
= 60%
So, Option C. could possibly be your equivalent to your fraction.
Option D.
12/20
= 12 ÷ 20
= 12 ÷ 2 / 20 ÷ 2
= 6 / 10
= 6 ÷ 2 / 10 ÷ 2
= 3 / 5
= 3 ÷ 5
= 0.60
= 60%
So, Option D. could possibly be your equivalent to your fraction.
To sum it all up, your answer is:
Option B. 6/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Victor is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a red fabric.
How much fabric does Victor need in order to cover 12 of these blocks?
156 cm²
24 cm²
13 cm²
2 cm²
Answer:
(a) 156 cm²
Step-by-step explanation:
The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...
A = 2(LW +H(L +W))
A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²
The area of 12 such prisms will be ...
12 × (13 cm²) = 156 cm²
Victor needs 156 cm² of fabric to cover 12 blocks.
_____
Additional comment
This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².
Answer:
156 cm² for K12
A cylindrical water tank has a diameter of 9 feet and a height of 16 feet. Each can of paint covers 50 square feet. What is the minimum number of cans of paint needed to cover the outside of the tank
Answer:
12 cans
Step-by-step explanation:
The area of the outside of the tank:
radio = half diameter = 4.5 ft.
base: [tex]A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi[/tex]
Top: = base [tex]=20.25\pi[/tex]
cylinder: [tex]2\pi rh=2\pi (4.5)(16)=144\pi[/tex]
Total area to paint: [tex]144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.[/tex]
Number of cans of paint:
[tex]c=\frac{579.6}{50} =11.59=12[/tex]
Hope this helps
Find the missing coordinate.
x = cos t
y = sin t
(-1, [?])
Fill in the table using this function rule y=4x+1
Answer:
1. -7
2. 1
3. 9
4. 17
Step-by-step explanation:
y = 4x + 1
1. y = 4 (-2) + 1
y = -8 + 1
y = -7
2. y = 4(0) + 1
y = 1
3. y = 4 (2) + 1
y = 8 + 1
y = 9
4. y = 4 (4) + 1
y = 16 + 1
y = 17
I hope this helps!
Using function rule, we get,
1. -7
2. 1
3. 9
4. 17
**Given Equation:** y = 4x + 1
1. For x = -2:
- Substitute x = -2 into the equation: y = 4 (-2) + 1
- Calculate: y = -8 + 1
- Result: y = -7
2. For x = 0:
- Substitute x = 0 into the equation: y = 4(0) + 1
- Calculate: y = 1
- Result: y = 1
3. For x = 2:
- Substitute x = 2 into the equation: y = 4 (2) + 1
- Calculate: y = 8 + 1
- Result: y = 9
4. For x = 4:
- Substitute x = 4 into the equation: y = 4 (4) + 1
- Calculate: y = 16 + 1
- Result: y = 17
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What is the area of the figure?
Answer:
88
Step-by-step explanation:
We can divide this into 3 shapes, a square, rectangle, and triangle.
Let's solve the area of each of these shapes and add them all up.
First, let's solve the square.
We know that one side is 4 ft so that means that the other side is also 4ft.
4*4=16
Our area of the square is 16ft^2
Let's solve the rectangle next,
Its length is 12ft and its width is 4ft.
12*4=48
So the rectangle area is 48ft^2
Now for the triangle
Remember that area of a triangle is a=hb/2
Our height is 12 ft and our base is 4ft
12*4=48
48/2=24
Triangle is 24ft^2
That means that we can add them all up
24+48+16=88
88ft^2 or 88
Suppose you bought 20 tickets in a drawing for a color television. There were 300 tickets sold in the drawing,
a. What is the probability that you win the color television?
b. What are the odds in favor of you winning the television?
c. What are the odds against you winning the television?
What is the value of x to the nearest degree?
Answer:
The answer is 68°
Step-by-step explanation:
Recall that tan ∅° = [tex]\frac{Opposite}{Adjacent}[/tex] for a right triangle.
The value opposite to your angle is 5, and the value that is adjacent to it is 2.
In order to solve for the degree, you use tan^-1([tex]\frac{5}{2}[/tex]) on your calculator.
This gives a value of 68.19459, rounded to just 68.