A tower that is 166 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun to the
nearest degree.
Answer:
The angle is approximately [tex]45^\circ[/tex].
Step-by-step explanation:
We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.
Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:
[tex]\tan{\theta}=\frac{\text{opposite side}}{\text{adjacent side}}[/tex]
In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:
[tex]\tan{\theta}=\frac{166}{167}[/tex]
To get the angle, we need to use inverse tangent:
[tex]\theta=\tan^{-1}(\frac{166}{167})\\\theta \approx 45[/tex]
The angle is approximated [tex]45^\circ[/tex] when rounded to the nearest degree.
Asad wants to print 500 photos. A shop charges at rate of 0. 20 per photo to print. How much does he pay to print the photos?
Answer:
$100
Step-by-step explanation:
multiply 500 by 0.20
you can also see this as a fraction .20 is also 1/5 so if you take 1/5 of 500 you get 100
What is the volume of a sphere with a radius of 6.9 ft, rounded to the nearest tenth of a cubic foot?
Answer:
1376.1 ft^3
Step-by-step explanation:
The volume of a sphere formula: V=4/3πr^3
r = 6.9 ft
V = 4/3 * π * (6.9^3) = 1,376.055
to the nearest tenth it's 1376.1 ft^3
Order these from least to greatest 69/10 , 6.99, 7.927, 6 8/9
Answer:
6 8/9 , 69/10 , 6.99 , 7.927
Step-by-step explanation:
[tex]\frac{69}{10} = 6.9[/tex]
[tex]6\frac{8}{9} = 6.8[/tex]
What is the measure of ∠H?
1. 115
2. 65
3. 50
4. 25
Answer:
2
Step-by-step explanation:
Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.
Find the geometric mean between 6 and 21.
Answer:
13.5
Step-by-step explanation:
That is the mean between 6 & 21
Please help with an explanation of how you found the answer because I am really confused. I will mark brainliest for best answer!
Answer:
The answer is A
Step-by-step explanation:
The minimum is 52 and the maximum is 65 therefore B and C are false.
Data set total number is 13 D medium is 56
so A is the correct answer
Kevin is planning a trip. His round-trip train ticket
costs 550 and the hotel costs $200 per night. If
he spends $850 on his train ticket and hotel, how
many nights did he stay?
Find the surface area
8in
3in
6in
Answer:
Area of a Rectangular prism is
A = 2lh + 2lw + 2hw
Step-by-step explanation:
See picture above
rent is putting in a sidewalk that is 1/18 yard thick, 9 yards long, and 1 yard wide. how many cubic yards of cement does he need?
Answer:
1/18 x 9 x 1 = .5 cubic yards. Why would you ever waste time asking this....
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have to find the volume. we can use volume of the cuboid formula
l = 1/18 yard
w = 9 yard
h = 1 yard
Volume = l*w*h
[tex]= \dfrac{1}{18}*9*1\\\\\\= \dfrac{1}{2}\\\\\\= 0.5 \ \sf cubic yard[/tex]
0.5 cubic yards of cement is needed
PLEASE HELP!!!
NO LINKS!!!!
7. A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square
centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic
centimeter?
8. The volume of a sphere is 2,000pim^3. What is the surface area of the sphere to the nearest square meter?
9. The volumes of two similar solids are 1408 m^3 and 594m^3. The surface area of the smaller solid is 549m^2. What is the surface area of the larger solid?
10. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14cm?
Answer:
im lost only because you made this so long
Step-by-step explanation:
help!
Fill in the empty spaces with monomials that make each equality
into an
indentity.
(3x - ...)? = 9x2 - 6x +1
Answer:
1
Step-by-step explanation:
The square of the value in the empty space is the constant in the expanded expression. That is ...
[ ]² = 1
The value in the space is ...
[ ] = √1 = 1
The filled-in equation is ...
(3x -1)² = 9x² -6x +1
_____
The expansion of the square of a binomial is ...
(ax -b)² = a²x² -2abx +b²
Above, we used the constant term to find 'b', but we could also have used the linear term:
-6x = -2(3)bx . . . . . a=3 in this problem
1 = b . . . . . . . divide by -6x
Gavin purchased a stereo speaker in the shape of a triangular pyramid. It has a height of 6 inches. The volume of the speaker is 22 in3.
What is the area of the base of the speaker?
A. 5 in
B. 11 in
C. 66 in
D. 44 in
Answer: 11 in
Step-by-step explanation: To find the surface area of a triangular pyramid, the formula is B = 3v/h, where v is volume and h is height. Plugging this in, 3 * 22 = 66. 66 divided by 6 is 11. Thus, the area of the base is 11 inches.
Two marathon runners start a race at different times. Runner A stars her race first. and then Runner B starts his race 30 minutes later. Runner A runs 4 miles per hour. Runner B runs 6 miles per hour. Which equation can be used to determine the time in hours, t, that the runners will be side by side, the same distance from the starting line?
Answer:
4t = 6(t - 1/2)
Step-by-step explanation:
For Runner A, the expression is 4t since this runner's rate is 4 mph. For Runner B, the expression is 6(t - 1/2) since Runner B starts 1/2 hour after Runner A, and this runner's rate is 6 mph. Set these two expressions equal to each other.
The number of radians in a 540540540-degree angle can be written as a\piaπa, pi, where aaa is a constant, what is the value of aaa ?
Using proportions, it is found that the value of a is of 3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a 180º angle has a measure of [tex]\pi[/tex] radians. What is the measure of a 540º angle? The rule of three is given by:
180º - [tex]\pi[/tex] rad.
540º - x [tex]\pi[/tex] rad.
Applying cross multiplication:
180x = 540.
x = 540/180 = 3.
The value of a is of 3.
More can be learned about proportions at https://brainly.com/question/24372153
Using proportions, the value of a is 3.
What is proportion?Proportion is a mathematical comparison between two numbers.
When going from degrees to radians, 180 degrees is always going to equal π radians.
The conversion of angle from radian to degree;
[tex]\rm 180-\ 1 \\\\540-a[/tex]
The value of a is;
[tex]\rm \dfrac{180}{540}=\dfrac{1}{a}\\\\\dfrac{1}{3}=\dfrac{1}{a}\\\\1 \times a=1\times 3\\\\a=3[/tex]
Hence, the value of a is 3.
Learn more about proportions at;
brainly.com/question/24372153
#SPJ4
A 50kg ball rolls off a building it is going 5 m/s when it hits the ground. How tall is the building
Answer:
1.25m
Step-by-step explanation:
s=ut+1/2gt^2
Newton's second law of motion
F=ma
50x10
500N
500/50
g/a=10m/s^2
u=0m/s
s= 1/2gt^2
v=u+gt
5=0+(10t)
5=10t
t=0.5s
s=0.5×10×(0.5)^2
=1.25m
Please Help! Will give Brainlest!
Answer:
amplitude = 2
Step-by-step explanation:
the amplitude is the distance from the x- axis(midline ) to the maximum value , that is
amplitude = 2
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
Option B ( 2 ) ✓
the amount by which the graph of the function travels above and below its midline.OR,
[tex] \sf{amplitude = distance \: from \: undisturbed \: position \div centre \: line \: to \: through \: or \: peak \: }[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π3?
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
How to determine the instantaneous rate of change of a given functionThe instantaneous rate of change at a given value of [tex]x[/tex] can be found by concept of derivative, which is described below:
[tex]g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Where [tex]h[/tex] is the difference rate.
In this question we must find an expression for the instantaneous rate of change of [tex]g[/tex] if [tex]f(x) = \sin x[/tex] and evaluate the resulting expression for [tex]x = \frac{\pi}{3}[/tex]. Then, we have the following procedure below:
[tex]g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}[/tex]
[tex]g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}[/tex]
[tex]g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x[/tex]
[tex]g(x) = \cos x[/tex]
Now we evaluate [tex]g(x)[/tex] for [tex]x = \frac{\pi}{3}[/tex]:
[tex]g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}[/tex]
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. [tex]\blacksquare[/tex]
To learn more on rates of change, we kindly invite to check this verified question: https://brainly.com/question/11606037
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
What is the instantaneous rate of change?The instantaneous rate of change is the change in the rate at a particular instant, and it is the same as the change in the derivative value at a specific point.
The instantaneous rate of change is given by the following formula;
[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{f(x+h)-f(x)}{h}[/tex]
The given function is;
[tex]\rm f(x)=sinx[/tex]
The function is also written as;
[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{sin(x+h)-sin(x)}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinx cosh +cosx sinh-sinx}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinh}{h}. \ lim_{h\rightarrow 0} cosx\\\\g(x)=cosx[/tex]
Substitute the value of x in the function
[tex]\rm g(\pi /3)= cos(\pi /3)=1/2\\[/tex]
Hence, the instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
To learn more about instantaneous rates click the link given below.
https://brainly.com/question/11606037
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find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help <3 if you can’t see, the diameter is 76
Answer:
[tex]\displaystyle 4536,4597918...\:cm.^2 = A[/tex]
Step-by-step explanation:
Split the diametre in half before proceeding:
[tex]\displaystyle \pi{r}^2 = A \\ \\ 38^2\pi = A \hookrightarrow 1444\pi = A \\ \\ \boxed{4536,4597918... = A}[/tex]
I am joyous to assist you at any time.
If the distance between two lines never changes,is it perpendicular,parallel,intersecting lines or rays
Answer:
parallel
Step-by-step explanation:
If the distance between two lines never changes, they are parallel lines.
Answer:
parallel
Step-by-step explanation:
parallel lines never have a distance change between them
Mr.B called Mrs.A, then called Ms.C. If Mr.B called Ms. C first, then Mrs. A, what property does this mimic? Associative, Commutative, or Distributive property.
Reflect the shape A in the line y=5
What are the coordinates of the vertices of the image?
Answer:
(4,5) (4,8)(4,6)
Step-by-step explanation:
So now you're reflecting over the horizontal line that passes through the point (0,5)
:))
Step-by-step explanation:
(4,5),(4,6),(4,8)
the answer is this!
Help pls!!!!!!!!!
ddddddddddddddd
if u help me and answer correctly ill give brainlest thanks
Answer:
10/4 in simplest form 5/2
Step-by-step explanation:
Since 2 goes into 10 and 5 you divide 2 by those two numbers which gives you 5/2
(1/10 * 1/10 * 1/10) = (- 10) ^ 3
Is it true or false
Answer:
False
Step-by-step explanation:
The exponent signifies repeated multiplication, so will reflect the fact that 1/10 is a factor 3 times.
(1/10)(1/10)(1/10) = (1/10)^3 . . . not (-10)^3
The given equation is FALSE.
__
This can also be written as 10^(-3), which is perhaps what someone was trying to do. The minus sign goes with the exponent, not the base.
A manufacturer packages coffee beans in 50 kg
cartons with an allowable error of 0.7%
. what is the acceptable weight range for a carton of coffee beans?
select the answers from the drop-down lists to correctly complete the sentence.
the acceptable weight of the cartons ranges from kg
to kg
.
Answer:
49.65-50.35
Step-by-step explanation:
0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.
100 POINTS!!!
What is the length of XY?
20
10
36
40
Answer:
the answer is 40
Step-by-step explanation:
I took the test on dradpoint
i dont understand???????????
Answer:
Step-by-step explanation:
We can obtain that the dimensions of the rectangle are 7 by 5.
Since A = lw, the total area is 35.
WILL MARK BRAINLIST An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Hey there!
The first step in solving this equation is
using the Distributive property & distributing 2:2(7x-3)=9
14x-6=9
Now, add 6 to both sides:
14x=15
Divide both sides by 14:
x=15/14
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning:-)
This figure represents a ramp for a dollhouse that is being covered with fabric on all sides. How much fabric is needed to cover the ramp? 144 cm² 138 cm² 110 cm² 66 cm²
Answer: 144 cm^2
Step-by-step explanation:
i did the quiz
Answer:
144 cm²
Step-by-step explanation:
I took the K12 test