Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:
[tex]\tan{30^\circ} = \frac{h}{25}[/tex]
[tex]h = 25\tan{30^\circ}[/tex]
h = 14.43.
For an error of 5%, the bounds of h are as follows:
[tex]h_{min} = 0.95 \times 14.43 = 13.71[/tex]
[tex]h_{max} = 1.05 \times 14.43 = 15.15[/tex]
Hence, the angles will be given by:
[tex]\tan^{\alpha} = \frac{13.71}{25}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}[/tex]
[tex]\alpha = 28.8[/tex]
[tex]\tan^{\alpha} = \frac{15.15}{25}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}[/tex]
[tex]\alpha = 31.2[/tex]
Hence the angle measurement has to be within 1.2º of 30º.
More can be learned about the slope concept at https://brainly.com/question/18090623
If a circle has a circumference of 36pie cm, what is the area?
Answer:324pie cm^2
Step-by-step explanation:
A company claims that its tablet computers have an average recharge time of 3 hours. Using a random sample of 50 company tablet computers, a consumer group determines a mean recharge time of 2.5 hours with a standard deviation of 0.3 hours.
Answer:
The correct answer is 1.65
Step-by-step explanation:
~Hope this helps! :)
93 is 50% of what number?
Answer: the answer is 186
Step-by-step explanation:
Hope my answer helps you please mark me brainliest7x + 4 = 46 two step equation
7x + 4 = 46
7x = 46-4
7x = 42
x = 42/7
x = 6
THEREFORE, x = 6
HOPE IT HELPS :)
can someone help me with these three questions pls
Answer:
Step-by-step explanation:
#1. right 5 units
#2. down 2 units
#3. The translation rule is (5, -2)
Consider the figure below.
14
23
22.7
What is the perimeter of the figure?
Answer:
73.4
Step-by-step explanation:
The lengths of the tangent segments drawn from an external point to a circle are equal.
**Please refer to the attached annotated diagram - each pair of equal lengths is a different color**
Perimeter = (2 x 14) + (2 x 9) + (2 x 13.7)
= 28 + 18 + 27.4
= 73.4
Domain and range for y=x^2+5x-6
Step-by-step explanation:
domain is all real numbers since its quadratic: (-infinity, infinity)
Range is from -6 to positive infinity or [-6, infinity)
What is the product of 9 radical 5 and 5 radical 10 in simplest radical form?
Answer:
Step-by-step explanation:
(9√5) (5√10)
The leading interger product is found by multiplying 9 and 5
The leading integer product is 9*5 = 45
The radical product is (√5*10
Factor 10
radical product = √5*2*5
There are 2 fives underneath the radical. Take one out and ignore the other
radical product = 5√2
The 5 now multiplies by 45 and √2 becomes part of the answer
5*45√2
225√2
(05.01) A scale drawing of a kitchen is shown below. The scale is 1 : 20.
5 inches
4 inches
Show your work to determine the area of the room in square feet.
Answer:
500/9 or 55.56 ft²Step-by-step explanation:
Find the dimensions of the kitchen, convert to feet
5 in * 20 = 100 in = 100/12 ft = 25/3 ft4 in * 20 = 80 in = 80/12 ft = 20/3 ftThe area is
25/3 * 20/3 = 500/9 = 55.56 ft² (rounded)Answer:
5.56 ft² (nearest hundredth)
Step-by-step explanation:
Given:
width = 4 inlength = 5 inIf the scale is 1 : 20, then to scale up, multiply the width and length by 20:
⇒ width = 4 × 20 = 80 in
⇒ length = 5 × 20 = 100 in
Area = width × length
= 80 × 100
= 800 in²
1 ft = 12 in
⇒ 1 ft² = 12² in² = 144 in²
Therefore, to find the area of the room in square feet, divide the area in inches by 144:
⇒ area = 800 ÷ 144
= 5.56 ft² (nearest hundredth)
this is for my geometry final please help me pass
Step-by-step explanation:
cos(x) = 5/13
the relation is
sin²(x) + cos²(x) = 1
so,
sin²(x) + (5/13)² = 1
sin²(x) + 25/169 = 169/169
sin²(x) = 144/169
sin(x) = 12/13
good luck !
The volume of a child’s model plane is 1200cm3. The volume of the full size plane is 4050m3. Find the scale of the model in the form 1:n.
the scale of the airplane is 1/3 the size of its counter part
Find the average rate of change from x = 1 to x=5
Answer:
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
Step-by-step explanation:
Calculate the surface area. Be sure to show how the area of each face is calculated.
Answer:
Surface area of the cubiod is 186.34 cm²Step-by-step explanation:
Given:
Shape = cubiodLength of cubiod = 10cmWidth of cubiod = 4.1 cmHeight of cubiod = 3.7 cmTo Find:
Surface areaSolution:
We can find the total surface area of cubiod by summing up the area of the six faces of the cubiod:
Area of the top and bottom face = lw+ lw = 2lwArea of the front and back face = lh+ lh = 2lhArea of the two side faces = wh+ wh = 2whSurface Area = 2(lw+ wh + hl)
Substituting the required values:
➝ Surface Area = 2(10 × 4.1) + (4.1 × 3.7) + (3.7 × 10)
➝ Surface area= 2(41 + 15.17 + 37)
➝ Surface Area = 2(93.17)
➝ Surface Area = 186.34 cm²
Hence,
Surface area of the cubiod is 186.34 cm²i need help it is overdue ):
Answer:
x = 4[tex]\sqrt{3}[/tex] , y = 4
Step-by-step explanation:
using the cosine and sine ratios in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 4[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 8 ( divide both sides by 2 )
y = 4
Carol, an avid hiker, typically loses 2 pounds of weight during a 3-hour hike. She always brings a Camelbak hydration pack with her, drinking 50 ounces during her hikes. How much should Carol be drinking per hour to meet her total fluid needs
The amount of water Carol should be drinking per hour to meet her total fluid needs is 16.67 ounces.
How many fluids should Carol drink hourly?Division is a mathematical operations that groups a number into equal parts using another number. The sign used to denote division is ÷.
Water to be drank per hour = total water drank / hours of hike
50 / 3 = 16.67 ounces
To learn more about division, please check: https://brainly.com/question/13281206
f(x) = x^2 What is g(x)?
check the template in the picture below.
so the graph of f(x) is simply expanded horizontally, meaning the value A*B changed to something less than 1.
[tex]\begin{array}{|l|cc|ll} \cline{1-3} &x&y\\ \cline{2-3} f(x)=x^2&2&4\\[1em] g(x)=\frac{1}{2}x^2&2&2\\ \cline{1-3} \end{array}[/tex]
Solve for the exponential for x
Answer:
x = 1
Step-by-step explanation:
[tex]7^{4x-6}=\frac{1}{49}[/tex]
[tex]7^{4x-6}=7^{-2}[/tex]
4x - 6 = -2
4x = -2 + 6
4x = 4
(Divide both sides)
x = 1
Surface area please help
Answer:
238
Step-by-step explanation:
First, you have to figure out the area for each of the boxes, and then you add all of the areas together
A rectangular prism has a length of 18 feet, a height of 14 feet, and a width of 2 feet. What is its volume, in cubic feet?
Answer:
504
Step-by-step explanation:
14x18x2=
(14x18)x2=
252x2=
504
I need help on this question
Answer:
c
Step-by-step explanation:
I think its c because there is no relation between 2x-1 and 4-x ,it is not equals its + because there is no equals in a straight angle
{3x+y=2
{6x +2y=4
i think it’s system of equations
Answer:
Infinitely many solutions.
Step-by-step explanation:
[tex]3x+y=2[/tex]
[tex]6x+2y=4[/tex]
[tex]6x+2(2-3x)=4[/tex]
[tex]6x+4-6x=4[/tex]
[tex]6x-6x=4-4[/tex]
[tex]0=0[/tex]
Since the two equations are the same, the system of equations has infinitely many solutions.
Find the volumn of prism given figures
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of surface areas and volumes.
To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.
Here we divide it into two separate parts. so we get as,
after solving, we get total volume as 1140 cm^3
Write and solve an equation to find the value of x
Answer:
Equation: x+90=7x
Answer: x=15
Step-by-step explanation:
By looking at the image, I can tell that both of those angles are vertical.
Vertical angles mean that both of the angles would be equal. Therefore, we can set x+90 = 7x
You then subtract x from both sides, leaving us with 90 = 6x
From there, divide both sides by 6 to isolate 6 to 1, and you are left with 15= x or x=15, giving you your answer and equation.
The value of x is 15.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given that the two angle measures (x + 90)° and 7x°.
And both the angle measures are formed by opposite angles,
so,
x + 90 = 7x
Taking like terms to one side,
we get,
7x - x = 90
6x = 90
Divide by 6, and we get,
x = 90/6
x = 15
Therefore, x = 15°.
To learn more about the angle measure;
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Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.They watched a video in the visitor center for 1/3 of that time. how much time did they spend watching the video
Answer: 45
Step-by-step explanation: 2 1/4 = 2hr and 15 min
1/3 of 2hr and 15 min = 45
Amount of time spent by Nathan's family watching the video is 3/4 hour or 45 minutes.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Given that,
Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.
They watched a video in the visitor center for 1/3 of that time.
Total time spent by Nathan's family in the monument = 2 + 1/4 hours
= 9/4 hours
Fraction of time spend in watching the video = 1/3
Time spend in watching the video = 1/3 × 9/4
= 3/4 hour
= 45 minutes
Hence the time spent is 3/4 hour.
Learn more about Fractions here :
https://brainly.com/question/10354322
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pls help me i have a 0 for math
Answer:3p
Step-by-step explanation:
405 0p x 7
Bentley's rectangular desktop measures 39 1/2in long and 24 3/4in wide what is the area of his desktop
Answer:
95,013
Step-by-step explanation:
If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!
What is an equation of the line with slope -4/5 and y-intercept 2?
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{4}{5}[/tex] and c = 2 , then
y = - [tex]\frac{4}{5}[/tex] x + 2 ← equation of line
Classify the triangle shown below. Check all that apply.
Answer:
A and B
Step-by-step explanation:
A. Since 2 angles are congruent you know that there has to be 2 equal sides
B. It has an obtuse angle which is 100 degrees.
C. Triangle has 2 congruent sides so this is incorrect
D. Not all sides are equal
E. Not all angles are acute
F. None of the angles are 90 degrees
Determine the simplified expression for (5^2)(5^1/4)(5^-1)
A: 125^5/4
B: 5^-1/2
C: 5^5/4
D: 15^-1/2
Answer:
C is the answer please
C. 5^5/4
[tex]\sqrt{x}-2=\sqrt{x-10}[/tex]
Answer:
Exact Form:
49/4
Decimal Form:
12.25
Mixed Number Form:
12 1/4
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
√x-2=√x-10
x-4√x+4=x-10
-4√x+4=-10
-4√x=-10-4
-4√x=-14
√x=7
-
2
x= 49
---
44