Answer:
the answer should be 27 ft
sorry if I'm wrong
The height of the tree will be 27 ft. The correct option is D.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.
The height of the tree will be calculated as,
Height = ( 18 x 4.5 ) / 3
Height = 6 x 4.5
Height = 27 ft
Hence, the height will be 27 ft.
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y = x2 – 3x + 2
use the discriminant to determine the number of solutions
Answer:
2 real solutions
Step-by-step explanation:
The formula for determining the discriminant is b² - 4ac.
So, let's identify our variables.
a = 1
b = 3
c = 2
Now, we can plug in our values.
3² - 4(1)(2)
9 - 8
1
1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.
which is the smallest integers, please answer, -9, 0, -2, -4, -11
Answer:
-11 :)
Step-by-step explanation:
Answer: 0
Step-by-step explanation:
Pls help
If a varies jointly as b and c, find a when b = 4 and c = -3.
a = -96 when b = 3 and c = -8
a=
Answer:
a=4bc
a=4(4)(-3)=-48
a= - 48 when b equals to 3 is equals to - 8
The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.
When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."
To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:
a/bc = k
where k is the constant of variation.
Substituting the given values:
a/(4)(-3) = k
Simplifying, we have:
a/-12 = k
Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:
a/(-12) = k
a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)
a = 96
Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.
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Historically, about 53% of the population of a certain country believed that the planet's temperature was rising ("global warming"). A March 2010 poll wanted to determine whether this proportion had changed. The poll interviewed adults in the population, and said they believed that global warming was real. (Assume these adults represented a simple random sample.)
Required:
a. What percentage in the sample believed global warming was real in 2010?
b. Is this more or less than the historical 57%?
Answer:
(a) The proportion is 61.23%
(b) It is more than the historical 57%
Step-by-step explanation:
This question has missing details, and they are:
[tex]n = 926[/tex] ---- The Sample Adults
[tex]x = 567[/tex] -- Those that believe global warming was real
Solving (a): The proportion of those that believe.
This is calculated as:
[tex]p = \frac{x}{n}[/tex]
Substitute values for x and n
[tex]p = \frac{567}{926}[/tex]
[tex]p = 0.6123[/tex]
Express as percentage
[tex]p = 0.6123 * 100\%[/tex]
[tex]p = 61.23\%[/tex]
Solving (b) More or less than 57%
By comparison:
[tex]61.2\% > 57\%[/tex]
Hence, it is more than the historical 57%
Help. What’s the answer to this problem?
Answer:
C) Yes, it’s a reflection over line f.
Step-by-step explanation:
It’s a reflection over line f.
Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Answer:
Plane 1: rate = 245 mph
Plane 2: rate = 98 mph
Step-by-step explanation:
Plane 2: Let r = rate
d = 5r
Plane 1: 2.5r = rate
d = 5(2.5r)
5(2.5r) - 5r = 735
12.5r - 5r = 735
7.5r = 735
r = 98
How many miles will light travel in one day if the speed of light is 300,000,000 meters per second.
(1.62 km = 1 mi)
Answer:
[tex]d=1.61\times 10^{10}\ miles[/tex]
Step-by-step explanation:
Given that,
The speed of light, v = 300,000,000
eWe need to find the distance light travel in 1 day. We know that,
1 day = 86400 seconds
Distance = speed × time
So,
[tex]d=3\times 10^8\times 86400[/tex]
[tex]d=2.592\times 10^{13}\ m[/tex]
or
[tex]d=0.001610\times 10^{13}\\\\d=1.61\times 10^{-3}\times 10^{13}\\\\d=1.61\times 10^{10}\ miles[/tex]
So, the required distance is equal to [tex]1.61\times 10^{10}\ miles[/tex].
work out the value of (6-2.5)( 8+4)
Answer:
42
Step-by-step explanation:
Uh, I'm guessing what is being asked here is to solve, so, time to distribute.
(6 - 2.5)(8 + 4)
48 + 24 - 20 - 10
42
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
complete these ratios
curved surface area of A : curved surface area of B : = ? : ?
height of A : height of B = ? : ?
Answer:
Two figures are similar if the figures have the same shape but different sizes.
Then if we have two figures X and X'
Such that one dimension of X is D, the correspondent dimension on X' will be:
D' = k*D
Such that k is the scale factor that relates the figures.
1:k
Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:
S' = k^2*S
then the ratio of the surfaces is:
1:k^2
While the relation between the volumes will be:
V' = k^3*V
Here the ratio is:
1:k^3
Ok, in this case we have two cylinders
We know that the ratio between the base area ( a surface) is:
9:25
a) We want to find the ratio: curved surface area of A : curved surface area of B
Because again we have a surface area, the ratio should be exactly the same as before, 9:25
b) height of A : height of B
In this case, we have a single dimension.
Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:
9:25
is related to k^2
Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:
√9:√25
3:5
This is the ratio of the heights.
Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.
(3/3):(5/3)
1:(5/3)
Then:
k = 5/3
Show your full solution
1. How much larger is the pizza in a circular pan with a 14-inch diameter than a pizza made in square pan with sides measuring 14 inches?
2. A photograph measuring 10 cm by 4 cm is mounted on a rectangular cardboard, to leaving a margin of 3 cm all around. What is the area of a photograph?
Answer:
1.the square pan is larger by 12 inches
40 cm^2
Step-by-step explanation:
The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle
perimeter of a square = 4 x length
14 x 4 = 56 inches
Circumference of a circle = πD = (22/7) x 14 = 44 inches
Difference in size = 56 - 44 = 12 inches
Area of a rectangle = length x width
10 x 4 - 40 cm^2
Chris has 150 Pokemon cards. Each week,
Chris purchases 15 Pokemon cards to add
to his collection. Which inequality can be
used to find w, the number of weeks after
starting his collection when Chris will have
more than 500 Pokemon cards in his
collection?
A.
150w + 15 < 500
B.
15W + 150 < 500
C.
150w + 15 > 500
Need He
D.
15W + 150 > 500
Answer:
D
Step-by-step explanation:
He already has 150 cards and he is buying 15 cards EACH WEEK. W represents the amount of weeks and since 15W +150 needs to be greater than 500 we need to use this lil guy (>)
Which one is correct?
what is the following product?
square root of 30 times the square root of 10
Step-by-step explanation:
That 'd be the square root of 300, which is equivalent to 10sqrt(3).
Please help I’m stuck
Answer:
96
Step-by-step explanation:
Its a pattern :) BTW can you help with mine please
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT
What is factor for 7x^2-21-280
1. Force is a push or a
upon an object
A heat
C. pull
B. motion
D. transfer
2 Which is needed to make an object move?
A density
C. porous
B. force
D. non-porous
Answer:
1. C
2.B
Step-by-step explanation:
Force is a push or a pull.. can be a twist too
to make an object move you have to apply force by pushing of pulling the object.
If l || m, determine what type of angles they are and find the value of x.
5(2 + 2m). Simplify the expression
Answer:
10m+10
Step-by-step explanation:
5x2=10
5x2m=10m
10m+10
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout
Which location relative to Columbia felt both earthquakes?
4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north
Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north
Which location will feel both earthquakes?
Here we have the inequalities:
(x - 20)^2 + (y - 14)^2 ≤ 625
(x + 8)^2 + (y - 3)^2 ≤ 196
Where, x is the distance due east, and y is the distance due north.
So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:
x = -4
y = -12
Replacing that on the first inequality we get:
(-4 - 20)^2 + (-12 - 14)^2 ≤ 625
1,252 ≤ 625
This is false, so this option is not correct.
Now we just need to check the other options. Particularly for the third we have:
x = 2
y = 10
Replacing that in both inequalities we get:
(2 - 20)^2 + (10 - 14)^2 ≤ 625
340 ≤ 625 (true).
(2 + 8)^2 + (10 - 3)^2 ≤ 196
149 ≤ 196 (true)
So at 2km east and 10km north of Columbia, the two earthquakes can be felt.
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please help (no links) or i will report you i just need answers
Answer:
15.) 104 ... I hope angles are not drawn to scale
16.) 144
17.) 37
Step-by-step explanation:
15.)
3x + 10 = 4x -12
22 = x
so 3x +10 = 76
180 - 76 = t = 104
16.)
2(21) + 36 + 90 + bcd + a = 360
a = 90 - 21 = 69
360 - (2(21) + 36 + 90 + 69) = bcd
bcd = 360 - 237 = 123
angle acd = 21 + bcd = 21 + 123 = 144
17.)
(5x - 7) + 90 + (3x + 1) = 180
8x -6 = 90
8x = 96
x = 12
so 5x - 7 = 53
90 - 53 = angle lmn = 37
Find the 8th term of the geometric sequence show below
Answer:
Alli khanaw .................
Answer:
8x^36
Step-by-step explanation:
first term (a) = [tex]8x^{8}[/tex]
Second term (t2)= [tex]8x^{12}[/tex]
common ratio (r)
= [tex]\frac{8x^{12} }{8x^{8} }[/tex]
= [tex]x^{4}[/tex]
now the 8th term of the G.S is
t8 = [tex]ar^{n-1}[/tex]
= [tex]8x^8 * (x^4)^8^-^1[/tex]
= [tex]8x^8 * (x^4)^7\\[/tex]
= [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]
hope it will help
HELP ME I NEED THIS SO BADLY AND QUICK IF POSSIBLE
Answer:
B
Step-by-step explanation:
add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]
Answer:
Step-by-step explanation:
19/4 + 29/5
2.75 + 5.8
= 8.55
Find the coefficient of the x^3 in the expansion of (2x-9)^5
Use the binomial theorem:
[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]
The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be
[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]
write an expression that represents the quotient of a number and 3 multiplied by 4
Answer:
N (3×4) or (N×3) 4
Step-by-step explanation:
Which linear inequality is represented by the graph?
Oys 2x + 4
Oyszx+ 3
O yz {x + 3
O y 2x + 3
The linear inequality that represents the graph is: [tex]y \le \frac 23x + \frac 15[/tex]
The line of the inequality passes through the points:
(0,0.2) and (3,2.2)
So, the slope of the line is:
[tex]m = \frac{2.2 - 0.2}{3 - 0}[/tex]
[tex]m = \frac{2}{3 }[/tex]
The equation is then calculated as:
[tex]y =mx + c[/tex]
Where c represents the value of y, when x = 0.
So, we have:
[tex]y =\frac 23x + 0.2[/tex]
Rewrite as:
[tex]y =\frac 23x + \frac 15[/tex]
The down region is shaded, and the line is a closed line.
So, the inequality is:
[tex]y \le \frac 23x + \frac 15[/tex]
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A quarter has a diameter of 24 mm.
Which measurement is closest to the
circumference of the quarter in
millimeters?
A. 452.39 mm
B. 37.7 mm
C. 75.4 mm
D. 150.8 mm
Answer:
C or D
Step-by-step explanation:
plssssss helppp last diagnostic
Answer:
9/20 square miles
Step-by-step explanation:
9/10× 1/2= 9/20 square miles
Explain what the vertical line test is and how it is used.
What is the range of the given function?
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
{x | x = –5, –4, –2, 0, 2}
{y | y = –9, –3, 0, 5, 7}
{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}
✧ [tex] \underline{ \underline{ \pink{\large{ \tt{E \: X \: P \: L\: A \: N \: A \: T \: I \: O \: N}}}}}: [/tex]
Part 1 :
☃ [tex] \underline{ \large{ \sf{Vertical \: Line \: Test}}} : [/tex] ⇾ All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called the vertical line test.
If the vertical line intersects the graph of a relation at one point , the relation is a function.If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.( See the attached picture )
In the picture ' 1 ' , The vertical line ( dotted line ) cuts the graph at one point ( P ). Thus the graph represents a function.In the picture ' 2 ' , The vertical line ( dotted line ) cuts the graph at two points P & Q. So, the graph does not represent a function.Part 2 :
☂ The set of all the images of the elements of domain under the function ' f ' is called the range of a function. In other words , the set of second components of a function is called range. We are given the function :
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}The above numbers [ in bold ] are the range of given function. Now, If we arrange these numbers in ascending order, we get ( -9 , -3 , 0 , 5 , 7 ).
Hence , Choice B [ {y | y = –9, –3, 0, 5, 7} ] is correct.
♕ Hope I helped! ♡
☄ Have a wonderful day / night ! ☼
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ☥
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Sample Response:
The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.
