The elevation and the top of the tree form a right triangle
The height of the tree is 104.96 feet
How to determine the height of the tree?The given parameters are:
Angle of elevation = 52 degreesHorizontal distance (b) = 82 feetThe height (h) of the tree is calculated using the following trigonometry ratio
tan(α) = h/b
Make h the subject
h = b * tan(α)
Substitute known values
h = 82* tan(52)
Evaluate the product
h = 104.96
Hence, the height of the tree is 104.96 feet
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Answer:
Step-by-step explanation:
tan 52 = x/82
x= 82 x tan 52
x=104.96
Zey can buy socks online for $3.50 a pair plus a $6 shipping charge. A local store
sells socks for $5 a pair.
The graph represents the total cost depending on the number of pairs of socks
purchased
Choose the two statements that are true about the graph
In this situation, it is true buying three pairs of socks costs less at the store and buying fout pairs costs the same online and in the store.
How much does it cost to buy three pairs?Store: $5 x 3 = $15
Online: $3.50 x 3 = $10.5 + $6 = $16.5
This shows buying three pairs cost less at the store, which makes the first statement correct.
How much does it cost to buy 4 pairs?Store: $5 x 4 = $20
Online: $.3.50 x 4 = $14 + $6 = $20
This shows buying four pairs is the same in the store or online.
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A bag with 6 marbles has 1 yellow marble 2 blue marbles and 3 red marbles. A marble is chosen from the bag at random what is the probability that it is yellow ? write your answer as a fraction in simplest form
A fraction/probability is created by taking what we want and putting that over the total.
In this case, we want yellow out of the total number of marbles.
Yellow Marbles = 1
Total Marbles = 6 + 1 + 2 + 3 = 12
Probability/Fraction = 1 / 12
Hope this helps!
100 points.
In a coordinate plane a figure can be reflected by a line other than the x- or y - axis.
Identify the linear equation for the reflection of Object E and E'?
Answer:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).
Step-by-step explanation:
hope this helps if does mark brainllest
Which list shows the decimals ordered from least to greatest?
0.31, 0.68, 0.16
0.39, 0.49, 0.35
0.42, 0.47, 0.46
0.19, 0.23, 0.28
Answer:
0.19, 0.23, 0.28...............
please help me...asap
if 3^2x+1 = 3^x+5 what happened the value of x
Answer:
x = 4
Step-by-step explanation:
See attachment.
Each student in Mr. Johnson's sixth-grade class kept track of how many books they read over
summer vacation.
Books read
0
2
4.
6
8
10
What was the median number of books Mr. Johnson's students read?
Answer:
4
Step-by-step explanation:
I got 4 when I answered on IXL for anyone who needs help on it!
After heating up in a teapot, a cup of hot water is poured at a temperature of
20
8
∘
208
∘
F. The cup sits to cool in a room at a temperature of
6
8
∘
68
∘
F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
T
=
T
a
+
(
T
0
−
T
a
)
e
−
k
t
T=T
a
+(T
0
−T
a
)e
−kt
T
a
=
T
a
= the temperature surrounding the object
T
0
=
T
0
= the initial temperature of the object
t
=
t= the time in minutes
T
=
T= the temperature of the object after
t
t minutes
k
=
k= decay constant
The cup of water reaches the temperature of
18
5
∘
185
∘
F after 3 minutes. Using this information, find the value of
k
k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.
Enter only the final temperature into the input box.
Answer:
k ≈ 0.060T(4) ≈ 178 °FStep-by-step explanation:
The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.
__
Given:[tex]T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)[/tex]
Find:k
T(4)
Solution:Filling in the given numbers, we have ...
185 = 68 +(208 -68)e^(-k·3)
117/140 = e^(-3k) . . . . . subtract 68, divide by 140
ln(117/140) = -3k . . . . . . take natural logarithms
k = ln(117/140)/-3 ≈ 0.060
__
The temperature after 4 minutes is about ...
T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186
T(4) ≈ 178.205
After 4 minutes, the final temperature is about 178 °F.
Help me find Fred's mistakes. I need to know which step Fred messed up on. Answer choices...
A. Fred made a mistake in step 1
B. Fred made a mistake in step 2
C. Fred made a mistake in step 3
D. Fred didn't make a mistake
Answer:
C. Step 3
Step-by-step explanation:
Fred lost the negative sign, but everything else was right. He should have gotten -9.
The circumference of a circle is 31.4 metres. What is the circle's diameter?
Answer:
9.99m
Step-by-step explanation:
d≈9.99m
C Circumference
31.4m
Using the formulas
C=2πr
d=2r
Solving ford
d=C
π=31.4
π≈9.99493m
What is the slope of the line shown in the graph?
(-2,2)
2
(0,1)
0-2
Answer:
= -0.5
Step-by-step explanation:
Slope:
(y2-y1/x2-x1)
Plug in:
(0,1), (-2,2)
2-1/-2-0
-1/2
= -0.5
A rocket carrying fireworks is launched from a hill 80 feet above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by h=-16t^2+64t+80.
1. what is the maximum height reached by the rocket?
2. how long will it take for the rocket to hit 128 ft?
Answer:
1. 144
2. 1
Step-by-step explanation:
can someonhelp me with this I'm stuck please help I will give brainlyest
Answer:
Table 1:
2 miles = 3520 yards
3 miles = 5280 yards
Table 2:
2 yards = 6 feet
3 yards = 9 feet
Table 3:
2 feet = 24 inches
3 feet = 36 inches
Table 4:
2 yards = 72 inches
Question 5: 4 yards, 130 inches, 10 feet
Question 6: The width of a penny
Step-by-step explanation:
Table 1: Multiply 1760 by 2 (3520), and 3 (5280).
Table 2: Multiply 3 by 2 (6), and 3 (9).
Table 3: Multiply 12 by 2 (24), and 3 (36).
Table 4: Multiply 36 by 2 (72).
Question 5: Convert all measurements to inches (the smallest value).
130 (given)
4 yards = 144 inches
10 feet = 120 inches
In greatest to least, we get 144, 130, 120.
Question 6: The length of a dollar is much wider than 1 inch, and so is a pencil. The width of a penny makes the most sense.
hope this helps!
A, B and C are points on the line 2x+y=8
DCE is a straight line.
AB:BC=2:1
EC:DC=1:2
Work out the ratio Area of triangle AEC : Area of triangle BCD
Give your answer in its simplest form.
The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have line;
2x+y=8
x/4 + y/8 = 1
Coordinate for A(4, 0) and B(0, 8)
To find the coordinate C we will use external section formula:
Let (a, c) be a coordinate for C
AB : BC = 2:1
AC:BC = 3:1
[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]
C(a, b) = (-2, 12)
Let coordinate for E(0, e) and for D(f, 0)
EC:DC=1:2 and C(-2, 12)
So after applying section formula, we will get:
E(0, -3) and D(0, 36)
Area of triangle AEC = (1/2)(7)(12) = 42 square units
Area of triangle BCD = (1/2)(28)(2) = 28 square units
ratio of area of triangle AEC : area of triangle BCD = 42:28
= 21:14
Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8
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The lateral area of a cone is 9.81 in. The radius is 1.4 in. Find the slant height.
Answer:
As Per Provided Information
Lateral area of cone is 9.81 in Radius of cone is 1.4 inWe have been asked to determine the slant height of the cone .
Formula used to calculate the lateral area of a cone is
[tex] \boxed{\bf \: \purple{ Lateral \: Area _{(Cone)} \: = \pi\:rl}}[/tex]
here
l denote slant height
r denote radius
Substituting the value we obtain
[tex] \longrightarrow\tt \: 9.81 = 3.14 \times 1.4 \times l \\ \\ \\ \longrightarrow\tt \:9.81 = 4.396 \times l \\ \\ \\ \longrightarrow\tt \: \cfrac{9.81}{4.396} = l \\ \\ \\ \longrightarrow\tt \: \: l \: = \cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = \cancel\cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = 2.23 \:inch \: \: (approx)[/tex]
Therefore,
Slant height of the cone is 2.23 in .Select all numbers that are solutions to the inequality w < 3.
A. -7
B. -1.5
C. 1
D. 5
E. 0
Answer:-7,0,1.5
Step-by-step explanation: they are lower then number three
Find the measure of the three missing angles in the rhombus below.
Answer:
Angles x and y measure 115°. Angle Z measures 65°.
Step-by-step explanation:
Since a rhombus is a parallelogram, opposite angles are congruent, and consecutive angles are supplementary.
The measure of the angles x, y, and z will be 115°, 115°, and 65°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The adjecent angle of the rhombus is supplementary. Then the value of 'x' is given as,
65° + ∠x = 180°
∠x = 180° - 65°
∠x = 115°
The opposite angle of the rhombus is congruent to each other.
∠y = ∠x
∠y = 115°
∠z = 65°
The measure of the angles x, y, and z will be 115°, 115°, and 65°, respectively.
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help :(
“two less than a number is less than or equal to thirty three”
- The inequality translated in numerical form
- The solution in set notation
- The solution in interval notation
Answer:
- The inequality translated in numerical form
Step-by-step explanation:
Find the number that makes the ratio equivalent to 5:6.
:66
Answer:
55 - you multiplied 6 by 11 to get 66 so you multiply by 5 by 11 to get 55.
Help!
just pick the right option thanks
Answer:
A:)
Step-by-step explanation:
l and lll
10^3 I need some help can someone help please.
A number raised to an exponent is the number multiplied by itself the number of the exponent:
10^3 = 10 x 10 x 10 = 1,000
Help! I need help asap, I will give brainliest
Answer:
15.733in^2
Step-by-step explanation:
For this triangle it would be area=0.5 * b * h * sin(y)
(y) being the angle
(b) being base
(h) being height
Hope this helps and I am pretty sure this is right.
Answer:
is 24
Step-by-step explanation:
because is multiply for 22
Given: x1 = 6, x2 = 2.5, y1 = 2.4. Find y2 if the points are (a) directly proportional or
(b) inversely proportional
a) The value of y₂ is 1 for the direct proportionality case.
b) The value of y₂ is 5.76 for the inverse proportionality case.
How to predict a value by apply proportionality model
Proportionality represents a family of relationships between two variables, which can be linear and nonlinear. Direct proportionality represents a linear relationship, whereas inverse proportionality represents a kind of nonlinear relationship.
Here are two mathematical representations of the relationships described above:
Direct proportionality[tex]y \propto x[/tex]
[tex]\frac{y_{2}}{y_{1}} = \frac{x_{2}}{x_{1}}[/tex] (1)
Inverse proportionality[tex]y \propto \frac{1}{x}[/tex]
[tex]\frac{y_{2}}{y_{1}} = \frac{x_{1}}{x_{2}}[/tex] (2)
If we know that x₁ = 6, x₂ = 2.5, y₁ = 2.4, then the value of y₂ for each case are, respectively:
Direct proportionalityy₂ = 2.4 × (2.5/6)
y₂ = 1
Inverse proportionalityy₂ = 2.4 × (6/2.5)
y₂ = 5.76
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(-9-11)/(-4)divided by -7^2+(11 times 2^2)
Which is an exponential decay function?
f(x) =
4
O f(x) =
13 (7)
O =1 (
O fx)=9)*
f
O flx) = (-3)
9
() =
An exponential decay function is flx) = (-3)9, the correct option is D.
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
We are given that;
f(x) =4
An exponential decay function is a function of the form:
f(x) = ab^x
where a and b are positive constants and b < 1.
The value of b determines how fast the function decreases as x increases. The smaller the value of b, the faster the decay.
To find which option is an exponential decay function, we need to compare their values of b.
Option A has f(x) = 4(1/3)x. This means that b = 4^(1/3), which is approximately 1.587. Since b > 1, this is not an exponential decay function.
Option B has f(x) = 13(7)^x. This means that b = 7, which is greater than 1. This is not an exponential decay function.
Option C has f(x) = (9/5)^x. This means that b = 9/5, which is also greater than 1. This is not an exponential decay function.
Option D has f(x) = (-3)(9)^(-x). This means that b = 9^(-1), which is equal to 1/9. Since b < 1, this is an exponential decay function.
Therefore, by exponential growth and decay the answer will be flx) = (-3)9
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WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP EXPLAIN TO ME IN WORDS!
QUESTION IN SCREENSHOT!
Also: hows your day going, how are you feeling?
Answer:
So, we can check step by step.
2x^2-7x+5=0
So, 2x^2-2x-5x+5=0 is correct
2x(x-1)=2x^2-2x, 5(x-1)=-5x + 5= 0, that step is correct
(I'll skip the next step)
2x-5=0,
2x=5
x=5/2, NOT 2/5
The other one is correct
Sorry if this seems a bit vague!
[tex]\\ \rm\Rrightarrow 2x^2-7x+5=0[/tex]
Split the middle term[tex]\\ \rm\Rrightarrow 2x^2-2x-5x+5=0[/tex]
Take common[tex]\\ \rm\Rrightarrow 2x(x-1)-5(x-1)=0[/tex]
Factor up[tex]\\ \rm\Rrightarrow (2x-5)(x-1)=0[/tex]
Find x[tex]\\ \rm\Rrightarrow x=5/2,1[/tex]
Lauren written 2/5 instead of 5/2
Let's verify once more
2x-5=02x=5x=5/2Which term describes an idea or a feeling suggested by a word?
Answer: connotation
Step-by-step explanation: everything that a phrase or item implies: the comfort connotations that surrounded that old chair.
Rectangles T and U are similar. If the area of rectangle T is 40, what is the area of
rectangle U?
10
4.5
Rectangle
T
Rectangle
U
Area = 40
Answer:
Area = 18
Step-by-step explanation:
Since the triangles are similar, we can set up a proportion of 10/4.5 = 40/x. The sides on top, with length 10 and 4.5, are similar. This ratio can then be applied to the areas, with the area of rectangle T in the numerator and the area of rectangle U in the denominator, giving us 40/x. To solve for x, we can multiply 40 by 4.5 and then divide the product by 10. This gives us 18, the area of rectangle U.
NEED HELP 100 POINTS TO ANSWER ALL THREE QUESTIONS PLEASE
1. A rectangular prism has a length of 20 in, a width, of 2 in, and a height of 3 ¼ in. What is the volume of the prism? Question 1 options:
V = 25 ¼ in³
V = 130 ¼ in³
V = 120 ¼ in³
V = 130 in³
2. What is the volume of a box that measures 4 ft. long, 2 ½ ft. wide, and 2 ft. tall?
Question 2 options:
V = 16 ½ ft. ³
V = 20 ft. ³
V = 40 ft. ³
V = 8 ½ ft. ³
3. Find the volume of a right rectangular prism with the measurements: length is 5/4 in, width is 2 in, and height is 4 in.
Question 4 options:
V = 40 in³
V = 2 3/4 in³
V = 11/4 in³
V = 10 in³
Answer:
1. V = 130 in³
Step-by-step explanation:
1. You can find the volume of a rectangular prism with this formula:
( l • w )h
(20 • 2)3 1/4
=
130
And then add the label in³
Answer:2. V = 20 ft³
Step-by-step explanation:2. A box is the same as a rectangular prism.
Use the same formula to find the answer.
(4•2 1/2)2
=
20
And then add the label ft³
Answer:3. V = 10 in³
Step-by-step explanation:3. It doesn't matter if the rectangular prism is a "right" one so you can just use the same formula for a rectangular prism.
5/4 = 1 1/4 or 1.25
(1.25 • 2)2
=
10
And then add the label in³
PLEASE! If you have any questions make sure to leave a comment on this post and I will happily help you out!
if x varies directly with y and x=-19 when y=14 what is x when y=2
The variation from x to y is an illustration of a direct variation
The value of x when y = 2 is -19/7
How to determine the value of x?The variation is a direct variation.
So, we have:
x = ky
Where k represents the constant of variation
Make k the subject
k = x/y
This gives
x1/y1 = x2/y2
So, we have:
-19/14 = x/2
Multiply both sides by 2
x = -19/14 * 2
Evaluate
x = -19/7
Hence, the value of x when y = 2 is -19/7
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