The height of the tree that forms an angle of 64 degrees and point from the tree is 49 feet is 100.46 ft
The situation forms a right angle triangle.
How to find the sides when given angle of elevationusing trigonometric ratios,
tan 64 = opposite / adjacent
Where
opposite side = height of the treeadjacent side = distance from the point on the ground from the tree.Therefore,
tan 64 = h / 49
cross multiply
h = 49 × tan 64
h = 49 × 2.05030384158
h = 100.464888237
h = 100.46 ft
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How many solutions are there to this system of equations?
On a coordinate plane, 2 lines have equations y = one-fourth (x minus 4) and y = one-fourth x minus 1.
One solution
No solution
Infinitely many solutions
It cannot be determined without solving.
So, in response to the above question, we can state that equation the response is: There are countless options.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
The two lines' equations are y = 1/4 (x - 4) and y = 1/4 (x - 1)
By equating them, we obtain: 1/4(x - 4) = 1/4x - 1.
To get rid of the fractions, multiply both sides by 4 as follows: x - 4 = x - 4
This equation may be written as 0 = 0, which is a constant.
The two lines coincide and have an endless number of solutions as a result.
Hence, the response is: There are countless options.
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HELP What is the approximate area of the shaded region created by segment BC?
Attempt 2
A student randomly selects two buttons from a box containing 32 red buttons, 48 blue buttons, 44 green buttons, and 51
yellow buttons. Compute the probability, as a decimal ratio with four decimal places, of selecting two red buttons.
The probability of drawing two red buttons is:
P = 0.0326
How to get the probability?There are:
32 red buttons.48 blue buttons.44 green buttons.51 yellow buttons.So there are a total of 32 + 48 + 44 + 51 = 175
We assume that all the buttons have the same probability to being randomly drawn.
For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:
p = 32/175
For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:
q = 31/174
Finally, the joint probability is given by the product between p and q, this gives:
p*q = (32/175)*(31/174) = 0.0326
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Two people are randomly chosen from an office with 4 managers and 8 office workers. If the first person, a manager, is not replaced, find the probability of choosing a second person who is an office worker.
Please help I'm desperate :(
Answer:
8/11 or 73%
Step-by-step explanation:
# of office workers to whole
Find the percentage of 8/11
Hopefully this helps, good luck!
6.) Find the volume of the triangular prism
3in
20in
2in
Answer:
60 cubic inches
Step-by-step explanation:
volume of prism
= area of triangular base x length(or height)
= (1/2 x base of triangular base x height of triangular base) x length
= (1/2 x 2 x 3) x 20
= 60 cubic inches
hope this helps!
Please help lol with all 3
Answer:
same thing I am doing help me
Answer:
3. Volume =
4 πr3
3
=
4 ×π×93
3
= 972π
= 3053.6280592893 inches3
2.Volume = πr2h
= π×22×12
= 48π
= 150.79644737231 inches3
1.Volume =
1 πr2h
3
=
1 ×π×72×15
3
= 245π
= 769.6902001295 inches3
Step-by-step explanation:
volume calculator
What is mCD. The answer is 60 but i need the work
Answer:
Arc cd = 60 degrees
Step-by-step explanation:
Angle E is an inscribed angle ....inscribed angle will intercept twice as many degrees of arc as the angle measure
angle measure = 62 twice as many degrees of arc = 124 (b-c-d)
bc = 64 so cd = 60 for the total of 124
Quadratic functions g (x) and h (2) are graphed on the same coordinate gri
The vertex of the graph of h (2) is 12 units above the vertex of the graph
of g (2).
Which pair of functions could have been used to create the graphs
The derivative of h(x) in A is 2x+24
h'(x)=0 g'(x)=0
2x+24=0 2x=0
x=-12 x=0
Similarly the derivative of h(x) in D is 2x-24
h'(x)=0 g'(x)=0
x=12 x=0
Knowing that B & C give the same x-value when solving for the derivative=0We know that the only difference comes down to the y-value when substituting x=0 in h(x).
The y-value of the vertex of h(x) must be +12 the y-value of the vertex of g(x).
We have to add 12 to get to the x-value, which means that the third option or C is your answer.
FIRST ONE TO ANSWER CORRECTLY WILL BE BRAINLIEST
Jamie and Billy each think of a polynomial. Each of their polynomials is monic, has degree 3, and has the same positive constant term and the same coefficient of x. The product of their polynomials is x^6 +2x^5 +2x^4 +18x^3 + 33x^2+40x+16.
b)What is the coefficient of x of jamie's polynomial?
c)what are the two polynomials?
Answer:
b) the coefficient of x of jamie's polynomial is 5 .
c) The two polynomials are :
x³ + 4x² + 5x + 4
x³ - 2x² + 5x + 4
Step-by-step explanation:
consider these two Monic polynomials of degree 3:
P : x³ + ax² + bx² + c
Q : x³ + a₁x² + bx² + c
P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²
Now we compare the coefficients of P × Q and x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16
b)
c² = 16 ⇒ c = 4 (c is positive)
2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .
c)
In order to find a and a₁ we need to solve this system:
a+a₁ = 2 a+a₁ = 2
⇔
aa₁+2b = 2 aa₁ = -8
Solve the system and you’ll get :
a = 4 and a₁ = -2 or a = -2 and a₁ = 4
Let’s choose a = 4 and a₁ = -2 then
the two polynomials are respectively:
P : x³ + ax² + bx² + c = x³ + 4x² + 5x + 4
Q : x³ + a₁x² + bx² + c = x³ - 2x² + 5x + 4
pls hlpppppp!!!!!!!!!!
Step-by-step explanation:
1/100 .................
Find the value of each variable.
HELP
Answer:
1. x=10; y=10 x root 2
Step-by-step explanation:
This is a 45-45-90 triangle, so the legs of the right triangle have an equal length. The formula states that y=x root 2, which is 10, so 10 root 2. The other triangles are all 30-60-90 triangles.
20) Angel asked some of her friends to write down the types and number of pets they own. The bar graph shown here displays the information she received.
Angel predicts that the next friend she asks will not own a rabbit.
Which statement justifies Angel's prediction?
A) None of Angel's friends owns a rabbit.
B) There are more rabbits owned than birds.
C) There are fewer rabbits owned than any pet.
D) There are just as many birds owned as rabbits.
Graham has $720 in a savings account that earns 1.5% annually. How much total will he have in 6 months?
Answer:
337,996.8 Philippine Peso Phpand here's a us
6,480 US Dollar USDA school production sold 480 tickets, including 325 tickets to adults. The rest were sold to
students.
Write the ratio of adult tickets to student tickets in simplest form.
An explanation would be appreciated!!
A blueprint of a plot of land has a scale of cm to m. The length of land measures 15 cm on the blueprint. If l represents the length of the actual piece of land, what is l?
Answer:
Answer: l = 82.5
Step-by-step explanation:
11/2 x 15 = 82.5.
please helpppppppppppppppppppppp
Answer:
1/8 Hour(s) longer
Step-by-step explanation:
5/8-1/2= 1/8
Show how to add 2 1/2+ 4/5 using the number line below
Answer:
Start at 2 1/2 plot that. Then go to 3 3/10 which is 3 right of the whole number 3 and plot it. Lastly, draw lines or bumps to represent going from 2 1/2 to 3 3/10.
Step-by-step explanation:
The Simplest way (This includes the graphing part but I advise you to use the addition steps first)
I always like to convert mixed numbers into decimals.
2 1/2 is 2.5 and 4/5 is 0.8.
2.5 + 0.8 = 3.3 which is 3 3/10
Graph:
2 1/2 should be in the middle of the whole numbers 2 and 3.
That is your starting point.
Now to add 4/5 which is 0.8 you could do 2.5 + 0.8 = 3.3
You need to find your ending point.
Your ending point should be 3 tickmarks to the right of 3.
Now, you could draw hop marks or arrows starting from 2 1/2 to 4/5
Addition Steps:
First, convert 2 1/2 to an improper fraction.
2x2 + 1 = numerator.
4+1 = 5
5/2 is 2 1/2.
Now you need to find a common denominator for 2 and 5.
This should be 10.
Multiply 5/2 by 5/5
Multiply 4/5 by 2/2
25/10 and 8/10 should be the answers
Now do 25+8 but keep the denominator 10.
25+8 is 33/10.
You could convert it to 3.3 which is 3 3/10
3 3/10 is on your number line.
Find the total cost of an $849.50 laptop after including 6% sales tax.
Answer:
$900.47
Step-by-step explanation:
you minus $50.47 (%6) from $900.47
The total cost of an $849.50 laptop after adding a 6% sales tax will be equal to $900.47.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the data provided in the question,
Price of laptop = $849.50
A tax of 6% on the Price of the laptop, so the tax will be,
849.50 × 6/100 = $50.97
Then, the total cost of the Laptop will be,
$849.50 + $$50.97 = $900.47
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Solve for x in the equation x squared minus 8 x 41 = 0.
Answer:
??
Step-by-step explanation:
well according to G it's x=4±5i lol
Step-by-step explanation:
I couldn't figure it out on my own had to G it. sorry if this doesn't help
The table below represents a linear function. What is the slope?
PLEASE HELP!!!!
11.) A restaurant chain's owners are trying to decide if they want to open up a franchise in your
town. To help them decide, they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling
method? Explain.
12. Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?
Answer:
11. The sampling method is biased. This is because the researcher only interviews people coming out of the restaurant instead of people in the restaurant or walking on the street. This would be called convenience sampling.
12. There is bias in the question. The writer prefers chocolate over vanilla by the words used to describe the two flavors.
(Sorry if this was too late for you by the way.)
A bag contains 8 red crayons 14 purple crayons 6 yellow crayons and 4 green crayons. A crayon is selected, then another is selected. Find each probability. P(green then red)
Answer:
red 8/32 = 1/4
purple 14 / 32 = 7/16
yellow 6/32 = 3/16
green 4 / 32 = 1/8
Step-by-step explanation:
if you add all the crayons together you get 32
you put each number over 32 and then divide it
simplify the expression below
5/6 (12p - 42)
Answer:
[tex]\boxed{\sf{10p-35}}[/tex]Step-by-step explanation:
Use the distributive property.
Distributive property:
A(B-C)=AB-AC A(B+C)=AB+AC[tex]\sf{\dfrac{5}{6}=(12p-42) }[/tex]
Multiply by expand.
[tex]\Longrightarrow: \sf{\dfrac{5}{6}\cdot \:12p-\dfrac{5}{6}\cdot \:42}[/tex]
Solve.
5/6*12p=10p
5/6*42=36
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract[tex]\sf{\dfrac{5}{6}\cdot \dfrac{42}{1}=\dfrac{5*42}{6} }[/tex]
Divide.
42/6=7
Multiply.
5*7=35
Subtract.
35-35=0
[tex]\Longrightarrow: \boxed{\sf{10p-35}}[/tex]
Therefore, the correct answer is 10p-35.
I hope this helps. Let me know if you have any questions.
Answer:
[tex]10p - 35[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]\frac{5}{6}(12p - 42)[/tex]
[tex](\frac{5}{6}*12p) + (\frac{5}{6} * (-42))[/tex]
[tex]\frac{60p}{6}-\frac{210}{6}[/tex]
Step 2: Simplify the expression
[tex]\frac{60p}{6}-\frac{210}{6}[/tex]
[tex]10p - 35[/tex]
Answer: [tex]10p - 35[/tex]
CAN SOMEONE HELP ME. PLEASE I NEED NOW. please help me
Answer:
1. Mean is 14.5 Median is 13.5 Mode is 13
2. Mean is 84 Median is 84 Mode is 84
3. Mean is 26.6 Median is 27 Mode is 20
4. Mean is 87 Median is 87 Mode is 87
5. Mean is 14.6 Median is 14 Mode is 14,12
Step-by-step explanation:
Hope this helps!! May not be entirely right but tried to do it quick for you
What is the measure of ZXYZ shown in the diagram below?
36°
114°
A. 36°
B. 39•
C. 75°
D. 78
Answer:
39 deg
Step-by-step explanation:
The measure of an exterior angle is equal to half the difference of the measure of intercepted arcs.
(114-36)/2 = 39 deg
Read this sentence from “A Spelunking Trip.”
They hastened into the cave and stood still until their eyes grew accustomed to the dim light.
Based on this sentence, what does accustomed mean?
A.fascinated by
B.unfamiliar with
C.used to
D.blind
Answer:
Used ti should be the correct answer
Step-by-step explanation:
What is the solution to the following system of linear equation?
y = -1x + 5
y = -1x + 2
Answer:
D. No solution
Step-by-step explanation:
Since, both the lines are going parallel to each other. Hence, there will be no solution.
Fraction exponents use the product rule and answer in a single exponent,
(pls help)
Which of these graphs does not represent a function?
Answer:
d
Step-by-step explanation:
d is not a function as it doesn't have correct function potential in linear x and y axis
Can anyone help been stuck for a while
Question:
Can anyone help been stuck for a while
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
30 regular flavors.
25 watermelon flavors.
Add them both and you get:
55.
Turn that into a fraction:
[tex]\frac{25}{55}[/tex]
The reason the numorator is 25 is because there are 25 watermelon flavors and 55 flavors total.
Find the GCD (or HCF) of numerator and denominator.
The GCD of 25 and 55 is 5.
Divide both the numerator and denominator by the GCD
25 ÷ 5 = 5
55 ÷ 5 = 11
Reduced fraction:
[tex]\frac{5}{11}[/tex]
Therefore, [tex]\frac{25}{55}[/tex] simplified to lowest terms is:
[tex]\frac{5}{11}[/tex]
Therefore, the answer is: [tex]\frac{5}{11} \\[/tex]