Step-by-step explanation:
Let x be the height of the tree. The length of shadow of tree is l=20 feet and elevation of sun is θ=400.
Then, tanθ=xlortan40=x20orx=20tan40=16.78(2dp)feet
HOPE ITS HELP
AND MARK ME AS BRAINLIST :)
Answer:
62.9 ft (nearest tenth)
Step-by-step explanation:
Use the tan trig ratio to calculate the length of the shadow.
Tan trigonometric ratio
\(\sf \tan(\theta)=\dfrac{O}{A}\)
where:
\(\theta\) is the angleO is the side opposite the angleA is the side adjacent the angleLet x = length of shadow
Given:
\(\theta\) = 50°O = 75A = xSubstitute the given values into the formula and solve for x:
\(\implies \sf \tan(50^{\circ})=\dfrac{75}{x}\)
\(\implies \sf x=\dfrac{75}{\tan(50^{\circ})}\)
\(\implies \sf x=62.93247234...\)
Therefore, the length of the shadow is 62.9 ft (nearest tenth)
Complete the table.
1) Total
1,266
1,550
8,778
8,826
D)
Number of
Equal
Groups
6
5
6
Amount in
Each Group
2,942
Answer:
see attached
Step-by-step explanation:
You want the attached table of group size and number of groups filled in.
ProductAs you know from your early experience with multiplication and division relations, either factor of a product can be found by dividing the product by the other factor:
P = a·b ⇒ a = P/b, or b = P/a
Here, the total is equal to the product of the number of groups and the number in each group. That means the missing number on each line can be found by dividing the total by the known number on the line.
When the numbers are already in a spreadsheet, you can let the spreadsheet do the arithmetic.
A) (+2)+(-3)+(+5)+(-2)
the answer of this question is
2 - 3 + 5 - 2 = 2
hope it helps and your day will full of happiness
plz plz plz plz help me
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
the distance on a ruler between 8cm and 26cm =
Answer:
18 cm
Step-by-step explanation:
To find the distance, take the larger number and subtract the smaller number
26 cm - 8 cm
18 cm
An athlete runs at a speed of 9 miles per hour. If one lap is 349 yards, how many laps does he run in 22 minutes
An athlete run in 22 minutes is 19.232 laps
Given,
An athlete runs at a speed of 9 miles per hour.
and, If one lap is 349 yards.
To find the how many laps does he run in 22 minutes?
Now, According to the question:
Firstly, Convert the mph into yard per minute,
Remember that:
I mile = 1,760 yard
1hour = 60 minute
Convert the speed in miles/hour to yards/minute
9 \(\frac{miles}{hour}\) = 9\(\frac{1760}{60}\) = 264 yard/ min
We know that
The speed is equal to divide the distance by the time
Let
s → the speed
d → the distance in yards
t → the time in minutes
Using the formula :
Speed = distance/ time
Solve the distance:
d = speed x time
Speed = 264 yard/ minute
Time = 22 minute
Therefore,
Distance = 264 x 22
Distance = 5,808 yards
Divide the distance by 302 yards to find out the number of laps
= 5,808/ 302 = 19.232 laps
Hence, An athlete run in 22 minutes is 19.232 laps
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In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount? What is the sale price of the case of soda?
Which postulate or theorem can be used to prove that AABC = ADCB?
Examine the relation.
{(-2, - 2), (-2, 4), (-1, 1), (1, 0), (1, 1), (3, 3), (3, — 2)}
Is the relation a function, and what is the range?
O function; range {-2, - 1, 1, 3}
O function; range {-2, 0, 1, 3, 4}
O not a function; range {-2, - 1, 1, 3}
not a function; range {-2, 0, 1, 3, 4}
Answer:
not a function I don't know the range tho
Step-by-step explanation:
Since x = 3 produces y = 3 and y = − 2 , the relation ( − 2 , − 2 ) , ( − 2 , 4 ) , ( -1 , 1 ) , ( 1 , 0 ) , ( 1 , 1 ) , ( 3 , 3 ) , ( 3 , − 2 ) is not a function.
Points P, Q, R, and S are collinear. Point W is between P and R, R is between Q and S, and PQ=RS. If PS=26 and PR=22, what is the value of QR?
The points P, Q, R, and S exist collinear.
Point W exists between P and R, R exists between Q and S, and
PQ = RS then the value of PQ = RS = 4 and QR = 18.
How to find the value of QR?
Given:
Points P, Q, R, and S exist collinear.
Point W exists between P and R, R exists between Q and S, and
PQ = RS
PR = PQ+QR
QS = QR + RS
PS = PR + RS
The given parameters are:
PS = 26
PR = 22
PQ = RS
Substitute the above values in PS = PR + RS
26 = 22 + RS
Solve for RS
RS = 26 - 22
RS = 4
This means that:
PQ = RS = 4
Substitute 4 for PQ in PR = PQ + QR
PR = 4 + R
Substitute PR = 22 in PR = 4 + QR
22 = 4 + QR
Solve for QR
QR = 22 - 4
QR = 18
Therefore, the value of QR exists 18.
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You randomly select an integer from 0 to 39 (inclusively) and then randomly select an integer from 0 to 4 (inclusively). What is the probability of selecting a 2 both times? The probability is nothing.
The correct value of probability of selecting a 2 both times is 1/200.
Let's calculate the correct probability.When randomly selecting an integer from 0 to 39, there is 1 favorable outcome (selecting a 2) out of 40 possible outcomes. Therefore, the probability of selecting a 2 in the first selection is 1/40.
Similarly, when randomly selecting an integer from 0 to 4, there is 1 favorable outcome (selecting a 2) out of 5 possible outcomes. Therefore, the probability of selecting a 2 in the second selection is 1/5.
To find the probability of both events happening (selecting a 2 in both selections), we multiply the individual probabilities:
P(Selecting a 2 both times) = (1/40) * (1/5) = 1/200
Therefore, the probability of selecting a 2 both times is 1/200.We are given two independent events:
Randomly selecting an integer from 0 to 39 (inclusive).
Randomly selecting an integer from 0 to 4 (inclusive).
We want to calculate the probability of selecting a 2 in both selections.
In the first selection, there is only one favorable outcome (selecting a 2)out of 40 possible outcomes (numbers from 0 to 39). Therefore, the probability of selecting a 2 in the first selection is 1/40.
In the second selection, there is again only one favorable outcome (selecting a 2) out of 5 possible outcomes (numbers from 0 to 4). So, the probability of selecting a 2 in the second selection is 1/5.
Since the two events are independent, we can multiply their individual probabilities to find the probability of both events happening.
Probability of selecting a 2 in both selections = (1/40) * (1/5) = 1/200Therefore, the probability of randomly selecting a 2 in both selections is 1/200. This means that out of all possible outcomes, there is a 1 in 200 chance of selecting a 2 in both selections.
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mathematics geniuses where are you ? help me answer this question please.
Step-by-step explanation:
There is 7 blocks that measure is 12.0-12.2
11 blocks that measure 12.2 to 12.4
18 blocks that measure 12.4 to 12.6
10 blocks that measure 12.6-12.8
4 blocks that measure 12.8 to 13.0
We can't find a mean by with Intervals so let find the midpoint of each interval,
12.1, 12.3, 12.5, 12.7, 12.9.
12.1 occurs 7 times so that equal 12.1 x 7=84.712.3 occurs 11 times so that equal 12.3 x 11=135.312.5 occurs 18 times so that equal 12.5x18=22512.7 occurs 10 times so that equal 12.7x10=12712.9 occurs 4 times 12.9×4=51.6Add up the products and divide them by 50
\(\frac{623.6}{50} = 12.472\)
Standard Deviation is
0.23( it is alot of steps so I use a calculator to save time).
The interqualtie range is 0.4
If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19
Answer: 25
Step-by-step explanation:
Find the equation for the ellipse
Using the data points given, the equation is \(\frac{\Big(\frac{(x - 4)^2}{25}+ (y + 2)^2\Big)}{25} = 1\).
What is an ellipse?
An ellipse is a locus of a point that moves in such a way that its perpendicular distance from a fixed straight line (directrix) and its distance from a set point (focus) remain constant. which is smaller than unity, i.e. eccentricity(e).
We are given that the center of the ellipse is at (4,-2), and a vertex is at (9,-2).
We know that the distance from the center to a vertex is a, where a is the length of the semi-major axis.
Therefore, we have -
a = 9 - 4 = 5
Since the point (4,3) is on the ellipse, we can use the distance formula to find the length of the semi-minor axis -
c = distance from (4,-2) to (4,3)
c = \(\sqrt{((4-4)^2 + (3-(-2))^2}\)
c = 5
Now, we can use the equation of an ellipse -
\(\frac{\Big(\frac{(x - h)^2}{a^2}+ (y - k)^2\Big)}{b^2} = 1\)
where (h,k) is the center of the ellipse, a is the length of the semi-major axis, and b is the length of the semi-minor axis.
Plugging in the values we have found, we get -
\(\frac{\Big(\frac{(x - 4)^2}{25}+ (y + 2)^2\Big)}{25} = 1\)
Therefore, the equation for the ellipse is \(\frac{\Big(\frac{(x - 4)^2}{25}+ (y + 2)^2\Big)}{25} = 1\).
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HELP
_______________
The correct statements regarding the translation from function f(x) to function g(x) are given as follows:
Function f is translated down 2 units.Function f is translated to left 3 units.What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The translations for this problem are defined as follows:
x - 2 to x + 1 -> x = x + 3 -> translated left 3 units.y -> y - 2 -> translation down 2 units.More can be learned about translations at brainly.com/question/28174785
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What is the domain of the equation?
The domain of the equation include the following: D. all real numbers.
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
How to identify the domain any graph?In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-4, ∞}
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Jamarie owns a tomato farm. Each season, she collects about 3,500 tomatoes. This can vary by as many as 425. What is the maximum and minimum number of tomatoes Jamarie can expect to collect?
Answer:
max-3925 min-3075
Step-by-step explanation:
Answer:
GIVE BRAINLEIST PLZ Max is 3925 Min is 3075
Step-by-step explanation:
A drum of water is 3/4 full. When 9 litres are drawn from it, it is half full. How much water does the drum hold what is the capacity of the drum
Answer:
OK, Here is your answer
Step-by-step explanation:
Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.
Answer:
18 Lieters.
Step-by-step explanation:
found the answer in his answer. ↑↑↑↑
the graph of a certain quadratic function has no x-intercepts. Which of the following are possible values or the disriminant?
The possible values for the discriminant include the following:
A. -1
D. -18
What is the x-intercept?In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.
Discriminant, D = b² - 4ac
In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.
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Complete Question:
The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.
A. -1
B. 3
C. 0
D. -18
What quantity of a 50% acid solution must be mixed with a 20% solution to produce 600 mL of a 45% solution?
Answer:
400 mL
Step-by-step explanation:
0.50x + 0.20(600-x) = 0.40*600
50x + 20*600 - 20x = 40*600
30x = 20*600
x = 20*20
x = 400 mL
How many groups of 7 are
in 49?
Answer:
7
Step-by-step explanation:
49 /7 = 7
Answer:
7:)
Step-by-step explanation:
group 1-ooooooo=7
group2-ooooooo
ooooooo=14
group 3-ooooooo
ooooooo ooooooo=21
group 4-ooooooo ooooooo=28
ooooooo ooooooo
group 5-ooooooo ooooooo
ooooooo ooooooo ooooooo=35
group 6-ooooooo ooooooo ooooooo
ooooooo ooooooo ooooooo=42
group 7-ooooooo ooooooo ooooooo
ooooooo ooooooo ooooooo
ooooooo=49
*Suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 12 feet, then hits the floor and rebounds to 9.6 feet.
Write an explicit formula for the sequence.
Also, How high will the ball rebound after its fourth bounce?
Answer:
The explicit formula is \(a_n=15(\frac{4}{5})^{n-1}\).
Step-by-step explanation:
First, we need to find the common ratio. We know this is a geometric sequence because the decrease from one term to the next is not a constant number.
To find the constant ratio, we can take the \(2^{nd}\) term and divide by the \(1^{st}\) term:
\(\frac{2nd}{1st}=\frac{12}{15}=\frac{4}{5}\)
So, our common ratio is \(r=\frac{4}{5}\).
We already know our initial term, \(a_0\) is 15, so we get:
\(a_n=a_0(r)^{n-1}\\a_n=15(\frac{4}{5})^{n-1}\)
Which statements describe the graph of y = Negative RootIndex 3 StartRoot x minus 1 EndRoot + 2? Select three options.
The graph has a domain of all real numbers.
The graph has a range of y greater-than-or-equal-to 1.
As x is increasing, y is decreasing.
The graph has a y-intercept at (0, 1).
The graph has an x-intercept at (–7, 0).
Answer:
(a) The graph has a domain of all real numbers.
(d) The graph has a y-intercept of (0, 1).
(e) The graph has an x-intercept of (-7, 0).
Step-by-step explanation:
You want to know the correct descriptors of the domain, range, slope, and intercepts of the graph of y = ∛(x-1) +2.
DomainThe domain of the cube root function is all real numbers. Hence the graph has a domain of all real numbers.
RangeThe range of the cube root function is all real numbers. Hence the graph is not restricted to a range of y ≥ 1.
SlopeThe slope of the cube root function is positive everywhere. The graph of y is increasing as x is increasing.
InterceptsThe x-intercept is the value of x that makes y = 0.
0 = ∛(x -1) +2
-2 = ∛(x -1)
-8 = (x -1)
-7 = x . . . . . . . the x-intercept
The y-intercept is the value of y when x = 0.
y = ∛(0 -1) +2
y = -1 +2 = 1 . . . . . . the y-intercept
The true statements about the graph are ...
(a) The graph has a domain of all real numbers.
(d) The graph has a y-intercept of (0, 1).
(e) The graph has an x-intercept of (-7, 0).
<95141404393>
Three postal workers can sort a stack of mail 10 minutes , 35 minutes, and 70 minutes respectively. find how long it takes them to sort the mail if all three work together
9514 1404 393
Answer:
7 minutes
Step-by-step explanation:
The total of stacks per minute is ...
1/10 +1/35 +1/70 = (7+2+1)/70 = 1/7 . . . . stacks per minute
The rate in minutes per stack is the reciprocal of this.
Working together, the workers can sort a stack of mail in 7 minutes.
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?
answer:
48 miles per hour
PLSSSSSS ANSWER I WILL MARK BRAINLEST TO BRAINSOFT
\(a. \: 5.745 \times {10}^{2} < |58.6| < 5.745\)
This is your answer
This question is designed to be answered without a calculator.
Use this graph of function f.
For how many values of x is f not differentiable over the interval (–4, 4)?
Answer:
4
Step-by-step explanation:
In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.
Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
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Evaluate 1/2 + 1/2 ÷ 18
Answer:
1/18
Step-by-step explanation:
First you would add 1/2 and 1/2 to get 1 then you would divide it by 18 to get 1/18
Answer:
1/18
Step-by-step explanation:
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Need help dragging the dot on the graph as well
The drag point point is shown on the graph.
What is drag point?
When a single point or the center of a circle is specified numerically, the point can be moved, and the mouse can be used to edit graphs (ex. translation of a parabola).
Consider, the given equation
\(g(x) = -\frac{5}{3} x-1\)
We have to find the value of g(x) at x = 3.
So, plug x = 3 in the above equation.
\(g(3) = -\frac{5}{3}(3)-1\\ g(3)=-5-1\\g(3) = -6\)
Therefore, the point is (3, -6).
We have to drag the point (3, -6) on the graph.
The drag point graph is attached below.
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In the figure below, points X, Z, Q, R, and S lie in plane P. Points T and Y do not lie in plane P.
For each part below, fill in the blanks to write a true statement.
The blank spaces in the statements area. S, R, and Q are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.
What are Colinear Points?Points that lie on the same straight line are collinear points.
If two lines are lie on the same plane, they are referred to as coplanar lines.
(a.) S, R, and Q are on a straight line. Therefore S, R, and Q are distinct points that are collinear.
b. TX and QS are distinct lines that intersect.
c. Point Y and line QS are on the same plane. Therefore:
Point Y and line QS are coplanar.
d. Another name for plane P is: plane QSY.
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If f(x)=2x+1 and g(x)=x2-7find(f+g)(x)
Answer:
x^2+2x -6
Step-by-step explanation:
f(x)=2x+1
g(x)=x^2-7
(f+g)(x)= 2x+1+x^2-7
Combine like terms
= x^2+2x -6
Answer:
\( \boxed{\sf (f+g)(x) = {x}^{2} + 2x - 6} \)
Given:
\( \sf f(x) =2x + 1 \\ \sf g(x) = {x}^{2} - 7 \)
To find:
\( \sf (f + g)(x) = f(x) + g(x)\)
Step-by-step explanation:
\( \sf \implies(f + g)x = f(x) + g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2x + 1) + ( {x}^{2} - 7) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2x + 1 + {x}^{2} - 7 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 2x - 7 + 1 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 2x - 6\)