Answer:
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The Tower of Pisa is well known worldwide for how it leans,
Sami visits the tower and wants to investigate how much it is leaning. He draws a diagram
showing a non-right triangle ABC.
On the diagram the angle ACB is 55º. The horizontal displacement of the tower BX = 5m.
The length of BC is 45m.
1) find the length of tower AB
Answer:
The tower is approximately 57.34 meters long
Step-by-step explanation:
The given parameters are;
The type of triangle formed by ΔABC = Non-right triangle
The measure of ∠ACB = 55°
The horizontal displacement of the tower, BX = 5 m
The length of BC = 45 m
Therefore, we have;
Triangle ΔABC type = Right triangle
By the tangent to an acute angle, θ, in a right triangle, we have;
[tex]Tan(\theta) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}[/tex]
Where θ is the 55°, we have angle, we have;
[tex]Tan(55^{\circ}) = \dfrac{XA}{XC}[/tex]
BC = BX + XC
∴ XC = BC - BX
XC = 45 m - 5 m = 40 m
[tex]\therefore Tan(55^{\circ}) = \dfrac{XA}{40}[/tex]
XA = 40 × tan(55°) ≈ 57.126
The type of triangle formed by ΔABX = Right triangle
According to Pythagoras theorem, AB² = XA² + BX²
∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34
The length of the tower, AB ≈ 57.34 m
PLEASE PLEASE HELP ME!! due in the morning and im clueless.
explanation = brainliest!
The radius of a circle is 10 feet. What is the area of a sector bounded by a 180° arc?
give your answer in simplest form
Answer:
[tex]50 \pi \: sq \: ft.[/tex]
Explanation:
as we can see that the sector bounded by the 180° arc is a semi- circle
area of a circle =
[tex]\pi {r}^{2} [/tex]
area of semi circle =
[tex] \\ \frac{\pi {r}^{2} }{2} [/tex]
[tex] = \frac{\pi {10}^{2} }{2} \\ = 50\pi[/tex]
Please help I put 74 points there is an image
Answer:
x = 37 y = 27
Step-by-step explanation:
x = y + 10
x + y = 64
y + 10 + y = 64
y = 27
64 - 27 = 37
Answer:
What coatside dad said
Step-by-step explanation:
Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the. m=-16. What is the value of b?
Answer:
You wrote the question wrong...
m is not -16 it is -1/6 (that is a big difference)
y=mx+b
y=-1/6x+b
3 = -1/6(12) + b
3 = -2 + b
b=5
Step-by-step explanation:
A ramp 28 ft long rises to a platform. The bottom of the platform is 17 ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your
answer to the nearest tenth of a degree.
PLZ HELP I WILL MARK BRAINLIEST
Answer:
x ≈ 52.6°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{17}{28}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{17}{28}[/tex] ) ≈ 52.6° ( to the nearest tenth )
WGiven the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9
Answer:
x = 24, x = -16
Step-by-step explanation:
Given the function f(x) = 0.5|x – 4| – 3, we are to find the values of x for f(x) = 7
Substitute f(x) = 7 into the expression;
7 = 0.5|x – 4| – 3
For the positive function
7 = 0.5(x – 4) – 3
7 = 0.5x - 2 - 3
7 = 0.5x - 5
7+5 = 0.5x
12 = 0.5x
12 = x/2
Swap
x/2 = 12
x = 12 * 2
x = 24
For the negative function
7 = 0.5-(x – 4) – 3
7 = 0.5(-x +4) - 3
7 = -0.5x +2 - 3
7 = -0.5x - 1
7+1 = -0.5x
8 = -x/2
Swap
-x/2 = 8
-x = 8 * 2
-x = 16
x = -16
Hence the required values of x are -16 and 24
I need help with 16-25 please
Simplify using only positive exponents
Answer:
16. 8/x
17. 8x
18. 4x⁴/y³ (not clear)
19. 16x^8
20. 256 R⁴
21. 64x^6
22. 81x^8
23. 1/ 3x
24. 5x
25. 1
PLEASE HELP ME- i don't know what to do
Answer:
5x-20=3x(alternate angle)
5x-3x=20
2x=20
x=20/2
x=10
now ,
2y +4y+5x-20=180(sum of angles of a triangle)
6y+50-20=180
6y+30=180
6y=180-30=150
y=150/6
y=25
hope this will help
After a congruence transformation, how would the perimeter of the triangle be?
what is the possibility of a two sided coin flipped and lands on tails?
Answer:
Step-by-step explanation:
it has a 50/50 chance if it lands on tailes it is 50/50
Find the value of z.
A. 118
B. 100
C. 93.5
D. 42.5
Answer:
[tex](180-73)=z+114/2[/tex]
[tex]107*2=z+114[/tex]
[tex]z=214-114[/tex]
[tex]z=100[/tex]
❄ B. 100
------------------------
hope it helps...
have a great day!!
In the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.
What is circle?Circle is a shape consisting fall points in a plane thata are at a given distance from a given distance from a given point which is the centre of the circle.
How to find angle?In the circle we can see the following:
(180-73)=(z+114)/2
107*2=z+114
214=z+114
z=214-114
=100
Hence in the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.
Learn more about angles at https://brainly.com/question/25716982
#SPJ2
Which figures have a volume greater than 500 cubic inches? Choose all that apply.
How many times greater is the volume of the sphere than the volume of cone #1? Round your answer to the neared tenth. Use 3.14 for pi.
Answer:
All shapes except the cone with 5in radius and 8in height
Step-by-step explanation:
Volume of the cylinder with radius 5in and height 8in is expressed as;
V = πr²h
V = 3.14*5²*8
V = 3.14*25*8
V = 628 square inches
The volume of the cylinder is greater than 500in³
Volume of the cone with radius 5in and height 24in is expressed as;
V = 1/3πr²h
V = 1/3*3.14*5²*24
V = 3.14*25*8
V = 628 square inches
The volume of the cone is greater than 500in³
Volume of the spheree with radius 5in is expressed as;
V = 4/3πr³
V = 4/3π(5)³
V = 4/3 * 3.14 * 125
V = 523.33 square inches
The volume of the sphere is greater than 500in³
What is the range of the given function? To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.
The question is incomplete. The complete question is :
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Check all that apply.
g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The variables cannot be labeled without a table of values.
The variables cannot be labeled since any value can be selected for either
Solution :
Given equation :
g = 748 u
Here, g = total number of gallons of water used
u = number of units
Customers uses the number of units of water.
The unit of water is independent of the total number of gallons of water used.
So the number of units u is an independent variable.
But the value of gallons of water depends on the number of units that is used.
Therefore, number of gallons of water g is a dependent variable.
Thus, we can say that :
g is dependent variableu is independent variableThe train left the terminal at 11:20 am and arrived at its destination at 2:40 pm how long did the train travel?
Answer:
3 hrs and 20 minutes
Step-by-step explanation:
Help ASAP. I will give brainliest
Answer:
Step-by-step explanation:
Hope this helps u !!
The GM of a series of a three positive numbers is 4 by including fourth number it becomes 2 what is fourth value
Answer:
1/4
Step-by-step explanation:
Let a₁, a₂, a₃ and a₄ be the four numbers. Since the geometric mean of the first 3 positive numbers is 4, we have that
∛(a₁a₂a₃) = 4. (1)
Also the geometric mean of the four numbers is 2, we have that ⁴√(a₁a₂a₃a₄) = 2 (2).
So, taking the cube of (1), we have
[∛(a₁a₂a₃)]³ = 4³
a₁a₂a₃ = 64 (3)
Also, taking the fourth power of equation (2), we have
[⁴√(a₁a₂a₃a₄)]⁴ = 2⁴
a₁a₂a₃a₄ = 16 (4)
Dividing (4) by (3), we have
a₁a₂a₃a₄/a₁a₂a₃ = 16/64
a₄ = 1/4
The fourth value is 1/4
Last week, Sarah bought a designer shirt at the sale price of $24. The original cost of the shirt was $40. What percent represents the discount that Sarah received when buying the sweater?
Answer:
40%
Step-by-step explanation:
Amount of money discounted
= $40 - $24
= $16
Percentage of discounted money
= 16/40 x 100%
= 40%
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Step-by-step explanation:
The area of a square is given by :
A = a²
Where
a is the side of the square
For square A, Area = 64 sq units
64 = a²
a = 8 units
For square B, Area = 30 sq units
30 = a²
a = [tex]\sqrt{30}[/tex] units
For square C, Side length = 14 units
A = 14²
A = 196 sq units
For square D, Side length = [tex]\sqrt{30}[/tex] units
A = [tex](\sqrt{30})^2[/tex]²
A = 30 sq units
Hence, this is the required solution.
Help me find the answer for this Acellus question! Find CD.
Answer:
DE = AE - AD
=> DE = 18.5 - 15.5 = 3
CD = CE - DE = 8 - 3 = 5
help with these 3 I did all the other questions of the assignment, these are confusing ASAP
Answers:
Problem 7) 25.2 feetProblem 8) Angle = 52 degrees; Distance = 14.3 feetProblem 9) DE = 22, EC = 10, BC = 20=====================================================
Explanation:
The diagrams for problems 7 and 8 are shown below.
------------------------------------
Problem 7
Apply the tangent ratio to find that...
tan(angle) = opposite/adjacent
tan(42) = x/28
28*tan(42) = x
x = 28*tan(42)
x = 25.2113132403396
x = 25.2
Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1 as a result.
------------------------------------
Problem 8, part 1
To find the angle y, we must use the sine ratio
sin(angle) = opposite/hypotenuse
sin(y) = 18/23
y = arcsin(18/23)
y = 51.5000495907521
y = 52 degrees approximately
------------------------------------
Problem 8, part 2
We can use the pythagorean theorem to find the missing side x
a^2+b^2 = c^2
18^2+x^2 = 23^2
324+x^2 = 529
x^2 = 529-324
x^2 = 205
x = sqrt(205)
x = 14.3178210632763
x = 14.3
Or alternatively, we can apply the tangent ratio on the angle y we found earlier to help find x
tan(angle) = opposite/adjacent
tan(y) = 18/x
tan(51.50004959) = 18/x
x*tan(51.50004959) = 18
x = 18/tan(51.50004959)
x = 14.3178210636621
x = 14.3
------------------------------------
Problem 9
The double tickmarks show that BE = EC = 10. That means BC = BE+EC = 10+10 = 20.
Since we have similar triangles, we can solve for x like so
DE/AC = BE/BC
x/44 = 10/20
20x = 44*10
20x = 440
x = 440/20
x = 22
So DE is 22 units long. Note how this is half as long as the side AC = 44.
A drink was spilled on the math problem shown below. 67.5 times 4.Blank = blank.50 Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor?
Answer:
The answer is "The decimal could be five-tenths".
Step-by-step explanation:
Given value:
[tex]\to 67.5 \times 4. \_= \_ .50[/tex]
Let the decimal value is: (2)
[tex]\to 67.5 \times 4. 2= 283 .50[/tex]
Hello can someone help me understand this explanation?
I don’t understand how they got 5x=5
Thank you!
Answer:
Starting from
2(-x) = 3x - 5
Distribute
-2x = 3x - 5
add 2x to both sides
0 = 5x - 5
Add 5 to both side
5 = 5x
Flip
5x = 5
8.
How is the graph of y=5x^2-4 different from the graph of y=5x^2?
A. It is shifted 4 units to the left.
B. It is shifted 4 units to the right.
C. It is shifted 4 units down.
D. It is shifted 4 units up.
Answer:
C. It is shifted 4 units down.
Step-by-step explanation:
Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.
Answer:
It is shifted 4 units down
Step-by-step explanation:
When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.
In this case, we have two functions:
y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4
In the second function we have:
y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.
So the first graph is shifted 4 units down. We can see this in the attachment.
It shifted 4 u it’s to the left
It is shifted 4 units to the left.
Mirror the speed of 16.8 m/s Olympian ran the 100 m dash in 9.6 seconds how much faster was Sarah the cheetah speed to the nearest 10th of a meter per second
Answer:
6.4 meters per second
Step-by-step explanation:
Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?
0.9 meters per second
1.6 meters per second
6.4 meters per second
10.4 meters per second
Speed = distance / time
Olympian's speed = 100 / 9.6 = 10.4 meters per second
Sarah's speed = 16.8 meters per second.
Difference in speed = 16.8 - 10.4 = 6.4
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
A mobile set is sold for Rs 6,630 after a discount of 15%. Find the marked price of the mobile set.
Answer:
MP = RS 7,800
Step-by-step explanation:
Let
Marked price = MP
MP x (100 – 15) / 100 = Rs 6,630
MP × (85)/100 = Rs 6,630
MP = Rs 6,630 ÷ 85/100
MP = 6,630 × 100/85
MP = 663,000/85
MP = 7,800
MP = RS 7,800
Can someone help me with these problems and explain them as well please
Answer:
b=112°
Step-by-step explanation:
two complementary angles
b=180°-68°=112°
sum of 2 angles is
x= 35°+25°=60°
Answer:
3. b=112
4. x = 60
Step-by-step explanation:
3.
b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.
4.
35+25 = 60, therefore x = 60.
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
Answer:
What are the statements?
Step-by-step explanation:
You have to list the statements.
The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week.
Answer:
[tex](a)\ y = -0.75x + 26[/tex]
[tex](b)\ y = 14.75[/tex]
Step-by-step explanation:
Given
See attachment for scatter plot
Required
Equation of the line of best fit
Pick any two points on the line
[tex](x_1,y_1) = (24,8)[/tex]
[tex](x_2,y_2) = (8,20)[/tex]
Calculate the slope (m)
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m =\frac{20-8}{8-24}[/tex]
[tex]m =\frac{12}{-16}[/tex]
[tex]m =-0.75[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = -0.75(x - 24) + 8[/tex]
[tex]y = -0.75x + 18 + 8[/tex]
[tex]y = -0.75x + 26[/tex]
Solving (b): y, when [tex]x = 15[/tex]
[tex]y = -0.75x + 26[/tex] becomes
[tex]y = -0.75*15 + 26[/tex]
[tex]y = -11.25 + 26[/tex]
[tex]y = 14.75[/tex]
if a recipe calls for 0.8 cups of water per cup of water per 5/8 cups of milk. What is the unit rate per cup of milk ( with correct labels )
Answer: 1.28 cups of water per cup of milk
Step-by-step explanation:
0.8 divided by 5/8 equals 1.28
verified by my teacher :)
fins the value of (15)^3 + (-9)^3 + (-6)^3 , without actually cubing the numbers
a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)
if a + b + c = 0. then a³ + b³ + c³ = 3abc
here a + b + c = 15 + (-9) + (-6)
a + b + c = 15 - 15
a + b + c = 0
so a³ + b³ + c³ = 3abc
15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)
= 2430
so the answer is 2430