When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.
When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T. Which measurement is the closest to the height of the mountain cliff in feet?
342
364
940
2747
Answers
Answer:
Step-by-step explanation:
The value of measurement of the closest to the height of the mountain cliff in feet is,
⇒ Mountain Height = 360 feet
Given that;
When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.
And, When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T
Hence, By graph we get;
⇒ tan 20° = Mountain Height / 1000
⇒ 0.36 = Mountain Height / 1000
⇒ 0.36 × 1000 = Mountain Height
⇒ Mountain Height = 360 feet
Thus, The value of measurement of the closest to the height of the mountain cliff in feet is,
⇒ Mountain Height = 360 feet
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Related Questions
Solve the system by substitution.
8x +y = 4
-23 – 8= y
Answers
Answer:
(2,-12)
Step-by-step explanation:
Correct equations:
8x+y=4
-2x-8=y
------------------
Rearrange the first equation:
8x+y=4
y=4-8x
Now use this value of y in the second equation:
-2x-8=y
-2x-8=4-8x
6x = 12
x = 2
When x = 2:
y=4-8x
y=4-8(2)
y = -12
(2,-12)
--
One can also graph the two equations and find the point they intersect. See the attached graph.
5 pounds=. Ounces
I need Helpppp
Answers
Answer:
80 ounces
Step-by-step explanation:
1 pound is 16 ounces
5 pounds is x ounces.
[tex]\frac{1}{16}=\frac{5}{x}[/tex]
Cross multiply.
[tex]\frac{16*5}{1}=80[/tex]
During a phone call about the system of equations {5x + 2y = 8 , 8x + 4y = 8}, Dylan told Max, “It’s easy, just set them equal to each other.” But Max replied, “That doesn’t help — I get −2y = 3x. What good is that?” Help these two students solve the problem.
Answers
Answer:
x = 4
y = -6
Step-by-step explanation:
5x + 2y = 8
8x + 4y = 8
-2(5x + 2y) = -2(8)
8x + 4y = 8
-10x -4y = -16
8x + 4y = 8
-10x -4y + 8x + 4y = -16 + 8
-2x = -8
x = 4
plug 4 into x so y = -6
Solve the equation
8 - (x - 2) = 2x + (10 - 3x)
a. x= 10
b. x= -10
c. infinitely many solutions
d. no solution
Answers
Answer:
Step-by-step explanation:
8-(x-2)=2x+(10-3x)
We move all terms to the left:
8-(x-2)-(2x+(10-3x))=0
We add all the numbers together, and all the variables
-(x-2)-(2x+(-3x+10))+8=0
We get rid of parentheses
-x-(2x+(-3x+10))+2+8=0
We calculate terms in parentheses: -(2x+(-3x+10)), so:
2x+(-3x+10)
We get rid of parentheses
2x-3x+10
We add all the numbers together, and all the variables
-1x+10
Back to the equation:
-(-1x+10)
We add all the numbers together, and all the variables
-1x-(-1x+10)+10=0
We get rid of parentheses
-1x+1x-10+10=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 - (x - 2) = 2x + (10 - 3x)}\\\mathsf{\rightarrow 8 - x - 2 = 2x + 10 - 3x}\\\mathsf{\rightarrow 6 - x = 5x + 10}\\\mathsf{\rightarrow 6 - 1x = 5x + 10}\\\mathsf{\rightarrow -x + 10 = -x + 10}\\\large\text{ADD the value of x to BOTH SIDES}\\\mathsf{\rightarrow -x + 10 + x = -x + 10 + x}\\\large\text{SIMPLIFY IT!}\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\mathsf{\rightarrow 10 - 10 = 10 - 10}\\\large\text{SIMPLIFY IT!}\\\mathsf{0 = 0}\\\huge\textsf{Answer: Option C. infinitely many solutions}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]You work in the mayor’s office and you are providing the mayor with a list of talking points for a speech. In your town, 13
1
3
of the residents live in rented dwellings. Of those who live in rented dwellings, 12
1
2
are in families with school-age children. On your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children?
Answers
Answer:12/13
Step-by-step explanation:12/13
convert 0.2 m^ 3 , into c * m ^ 3
Answers
Step-by-step explanation:
[tex] {m}^{3} = {cm}^{3} = \div {10}^{6} [/tex]
0.2m^3 = 0.0000002 cm^3
Find the 7th term of the geometric progession which begins 2, -6, 18
Answers
Answer:
The 7th term of this geometric progression is -486
What are the roots of the polynomial equation x superscript 4 baseline x squared = 4 x cubed minus 12 x 12? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth. –12, 20 –2.73, 2, 2.73 –1.73, 1.73, 2 –20, 12
Answers
The roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.
What is a factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.\
To find the roots of a polynomial, equate these factors of a polynomial to zero.
The given polynomial equation is,
[tex]x^4+x^2=4x^3-12x+12[/tex]
Take all the terms left side of the equation,
[tex]x^4+x^2-4x^3+12x-12=0\\x^4-4x^3+x^2+12x-12=0[/tex]
The factor form of the polynomial on solving the above equation, we get,
[tex](x-2)(x-2)(x-1.73)(x+1.73)=0[/tex]
Equate all the factors to zero, to find the roots. The roots we get are,
[tex]2,2,1.73,-1.73[/tex]
Hence, the roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.
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Answer:
–1.73, 1.73, 2
Step-by-step explanation:
Given a circle with a radius of 7 inches and a central angle of 140°, find the area of the sector.
Answers
Answer: 343pi/18
Step-by-step explanation:
How can you reduce the variability of a statistic?
Answers
Answer:
How can you reduce the variability of a statistic? By taking a larger sample. Larger samples give smaller spread. Also by better design, such as stratified sampling. What effect does the size of the population have on the variability (spread) of a statistic?
Step-by-step explanation:
Need help asap please!!!
Answers
Answer:
Bottom Right = (2 x 10^-3) x (4 x 10^4) = 8 x 10^1
Step-by-step explanation:
What is the answer to u/5+6=2 with work shown?
Answers
u/5 = 2 -6
u/5 = - 4
u = -4 x 5
u= -20
Emily and Chris are going to the city to visit a friend t They live 65 miles from the city. They have gone 42 miles already. How many more miles do they have to travel
Answers
Answer:
They have 23 miles left to travel.
Step-by-step explanation:
If they have 65 miles total to travel and they've already gone 42 miles, 65-42=23
ba^4 * (2ba^4)^-3
Please help
Answers
Answer:
1/(8b^2a^8)
Step-by-step explanation:
The given expression can be simplified using the rules of exponents.
[tex]ba^4\times(2ba^4)^{-3}=\dfrac{ba^4}{(2ba^4)^3}=\dfrac{ba^4}{8(ba^4)^3}=\dfrac{1}{8(ba^4)^2}=\boxed{\dfrac{1}{8b^2a^8}}[/tex]
__
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
Additional comment
It can be useful to think of an exponent as indicating repeated multiplication: 2^3 = 2×2×2, for example. Of course, the repeated multiplication can be nested: (4^2)^3 = (4^2)×(4^2)×(4^2) = (4×4)×(4×4)×(4×4) = 4^6
Numerator and denominator factors cancel in the usual way.
Here is the picture of the problem- Only 6th grade math
Answers
Answer:
h= 7/6 mm
Step-by-step explanation:
hello :
the area is : A= (b+B)×h/2
calculate h the height : 2A = (b+B)×h
so: h = 2A/(b+B)
you have : A=21/5 and b= 3 and B= 21/5
h= 2(21/5)/(3+21/5)
h= (42/5) /(36/5)
h= 42/36
h= 7/6 mm
Joe drove 567 miles in 9 hours.
At the same rate, how many miles would he drive in 5 hours
Answers
Answer:
answer down below
Step-by-step explanation:
it would be 315
Answer:
13 hours
Step-by-step explanation:
567/9=63
she drives 63mph
it will take her 13 hours to drive
PLSSSSSS HELPPP Assemble the proof by dragging the tiles to the Statements and Reasons columns.
Answers
Answer:
Hope this helps
Step-by-step explanation:
Similar Triangles... Yes
QR similar to SR
ang. QRP = ang. SRT
ang. p = ang. t
=> similar
Write the equation of the circle centered at (3, 5) and tangent to x = -1. I need help pleasse
Answers
Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
help me please‼️‼️ har har har har har
Answers
Answer: -63.5 feet per mintue
Step-by-step explanation:
We can look at what the problem is asking for, and solve. It says average change in altitude per minute:
[tex]\frac{altitude}{minute}[/tex] = [tex]\frac{1,524}{24}[/tex] = 63.5 feet per mintue
Since she is hiking down the mountainside, this will be negative. We arrive at our final answer of:
-63.5 feet per mintue
If numerous large random samples or repetitions of the same size are taken from a population, the frequency curve made from proportions from the various samples will have what approximate shape?.
Answers
Using the Central Limit Theorem, the shape of the frequency curve will be approximately normal.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
Hence, the shape of the frequency curve will be approximately normal.
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Adrian invested a total of $7000 in two accounts. One account pays 5% interest annually; the other pays 4% interest annually. At the end of the year, Adrian earned a total of $300 in interest. Write and solve a system of equations to find how much money Adrian invested in each account.
Adrian invested ____ in the 5% account and ____ in the 4% account.
Answers
Answer:Cost = $33 per month + Fee 1. C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2. At 9 months: 33(9) + 30 = $327
Step-by-step explanation:
Which algebraic expressions are binomials? Check all that apply.
xyStartRoot 8 EndRoot
x2y – 3x
6y2 – y
y2 + StartRoot y EndRoot
4xy – two-fifths
x2 + StartFraction 3 Over x EndFraction
Answers
The algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5
What are polynomials?Polynomials are algebraic expressions having only addition, subtraction, multiplication and exponentiation (non-negative) of variables involved in it.
What are terms in polynomials?Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.
Example:
[tex]x^3 + 3x +5[/tex]
is a polynomial consisting 3 terms as
[tex]x^3[/tex], 3x and 5
If there is one term, the polynomial will be called monomial.If there are two terms, the polynomial will be called binomialIf there are three terms, the polynomial will be called trinomialChecking all the options:
Option 1: [tex]xy\sqrt{8}[/tex]It has only one term, so its not a binomial.
Option 2: [tex]x^2y - 3x[/tex]It has two terms, and there is only integer powers of variables and variables are in multiplication in forming terms, so its a polynomial. And because of two terms and being polynomial, it is binomial.
Option 3: [tex]y^2 + \sqrt{y}[/tex]Because of square root over variable 'y', the variable 'y' got non-integer power 1/2 as square root is also written as exponentiation by 1/2.
Thus, its not a polynomial.
Option 4: [tex]4xy - 2/5\\[/tex]Its a polynomial as there are constants only and variables with multiplication. And because of two terms and being polynomial, it is binomial.
Option 5: [tex]x^2 + \dfrac{3}{x}[/tex]we can write the second term as:
[tex]\dfrac{3}{x} = 3x^{-1}[/tex]
Thus, the variable x has negative power. Thus, its not a polynomial. Or simply, since the variable is in division in simplified form, therefore, its not a polynomial.
Thus, the algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5
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A ball is thrown from an initial height of 4 feet with an initial upward velocity of 33 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h= 4 + 33t - 16t^2
Find all values of t for which the ball's height is 20 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.).
Answers
Answer:
At both 0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.
Step-by-step explanation:
We can use two approaches to finding the answer: Calculation and Graphing.
Calculation:
Set h to 20 feet and solve the equation using the quadratic formula.
h= 4 + 33t - 16t^2
20= 4 + 33t - 16t^2
- 16t^2 + 33t + 4 = 20
- 16t^2 + 33t + -16 = 0
Solve using the quadratic formula. I find solutions of 0.779 and 1.28 seconds.
Graphing:
See the attached graph.
The ball is at 20 feet at 0.783 seconds on the way up and 1.28 seconds on the way back down.
===
Both approaches agree: 0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.
If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg. Round to the thousandths place and include units in your answer.
Answers
The cost of 1kg of coal mined from the ore is $0.0397
Data;
1 ton = $35.991kg = ?The Cost of 1kg of CoalTo find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.
[tex]1ton = 907kg\\[/tex]
let's write this and equate it
1 ton = $35.99
907kg = $35.99
1kg = x
Let's cross multiply both sides and solve for x
[tex]907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397[/tex]
The cost of 1kg of coal is $0.0397
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In the equation "y = mx + b" which of the following statements is true?
Group of answer choices
y is the output, x is the input, m is the slope and b is the y-intercept
x is the output, y is the input, m is the slope and b is the y-intercept
y is the output, x is the input, b is the slope and m is the y-intercept
y is the output, b is the input, x is the slope and m is the y-intercept
Answers
Answer:
Its the first one, y is always the output and y =mx+b, b is always the y-intercept and m is always the slope
Step-by-step explanation:
Answer:
A. y is the output, x is the input, m is the slope and b is the y-intercept
Step-by-step explanation:
In an equation y = mx + b, we know that:
x is the input
y is the output
m is the slope
b is the y-intercept
Looking for an answer that matches these criteria, we can say that the answer is A.
what is the gradiant of the graph
Answers
Answer:
gradient = 2
Step-by-step explanation:
calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 3) ← 2 points on the line
m = [tex]\frac{3-(-1)}{2-0}[/tex] = [tex]\frac{3+1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Which graph best represents the equation created when the slope of y = 6x is changed to 0?
Answers
The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.
What is a linear function?A linear function is in the form:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept
The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.
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Guys, I’m giving you at least 100 points for you to answer to my angles, triangles, and quadrilaterals word problem homework package. So guys, please listen up and pay attention to me without ignoring my angles, triangles, and quadrilaterals word problem homework package for no reason! :D
Please help me to find the missing angle measures given 3 variables of an each scalene triangle.
Please answer to my geometric word problem questions as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D
Well anyways, guys, good luck on finding the missing angle measures given 3 variables of an each scalene triangle of my angles, triangles, and quadrilaterals word problem homework package in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)
Answers
Answer:
Theories used
Angles on a straight line will always add up to 180°
The sum of interior angles in a triangle is 180°
Question 7
a + 134° = 180°
⇒ a = 180° - 134°
⇒ a = 46°
b + 119° = 180°
⇒ b = 180° - 119°
⇒ b = 61°
a + b + c = 180°
⇒ 46° + 61° + c = 180°
⇒ c = 180° - 46° - 61°
⇒ c = 73°
Question 8
r + 126° = 180°
⇒ r = 180° - 126°
⇒ r = 54°
s + 145° = 180°
⇒ s = 180° - 145°
⇒ s = 35°
r + s + t = 180°
⇒ 54° + 35° + t = 180°
⇒ t = 180° - 54° - 35°
⇒ t = 91°
#7
a=180-134=46°b=180-119=61°c=
180-(46+61)180-10773°#8
r=180-126=54°s=180-145=35°t=180-(54+35)=180-89=91°What is the volume of this figure?
Enter your answer in the box.
yd³
Answers
Answer:
4095
Step-by-step explanation:
This Is for the 4.07 K-12 Quiz! <3
Answer:
4095 yd³ for K12
Question 9 of 10
Find the solutions to x2 = 18.
O A. x= +3,12
O B. x= +2,/3
X
O C. X = +36
O D. x = +63
Х
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} = 18[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{} = \sqrt{ 18}[/tex]
[tex]\qquad \sf \dashrightarrow \:x = \sqrt{2 \times {3}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 3 \sqrt{2} [/tex]
Therefore, the correct choice will be A