Answer:
91.9 ft
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
65² + 65²
4225 + 4225
Ava and Taha are staring up at a UFO. Ava is directly east of the UFO and Taha is directly west. Ava is 205 feet from the UFO and Taha is 195 feet from the UFO. Ava and Taha are 166 feet from each other. Find Ava's angle of elevation to the UFO in degrees.
Answer:
49.59°
Step-by-step explanation:
Using trigonometry, we can obtain AVA's angle of elevation to UFO
Using the relation :
Tanθ = opposite / Adjacent
Tan θ = 195 / 166
θ = tan⁻¹(195÷166)
= 49.59°
Mitch ate dinner at a restaurant. The bill came to $82. If he left an 18% tip, how much was the tip?
Answer:
14.76
Step-by-step explanation:
82 x .18 = 14 76 tip
Prove
that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).
Answer:
Proved
Step-by-step explanation:
Given
[tex]B =(-2,-1)[/tex]
[tex]U = (0,3)[/tex]
[tex]G = (3,2)[/tex]
[tex]S = (4,-3)[/tex]
Required
Prove BUGS is a trapezoid
Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.
Taking BU and GS as a pair
First, we calculate the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For BU
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3 - -1}{0- -2}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
For GS
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3-2}{4-3}[/tex]
[tex]m = \frac{-5}{1}[/tex]
[tex]m = -5[/tex]
The slope of BU and GS are not the same; hence, they are not parallel.
Taking BS and GU as a pair
Calculate the slope
For BS
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3 - -1}{4- -2}[/tex]
[tex]m = \frac{-2}{6}[/tex]
[tex]m = -\frac{1}{3}[/tex]
For GU
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3-2}{0-3}[/tex]
[tex]m = \frac{1}{-3}[/tex]
[tex]m = -\frac{1}{3}[/tex]
The slope of BS and GU are the same; hence, they are parallel.
BUGS is a trapezoid because BS and GU have the same slope
(PLEASE HELP)
Which of these statements about George’s integer must be true?
Answer:
Answer A is the correct answer.
please help me if you can thank you.
Answer:
X. 120 Y. 30 Z. 36.5
Step-by-step explanation:
X. 360-107-133= 120
Y. Length of AB is equal to 120, so angles y and C are equal to 60. 60/2= 30
Z. 133+ 30= 163. 180-163= 17. Angle A and Z equal to 53.5. 53.5-17= 36.5
A circle with an area of 8pi square centimeters is dilated so that its image has an area
of 32pi square centimeters. What is the scale factor of the dilation?
A.2
B. 4
C. 8
D. 16
Answer:
scale factor = length of image
corresponding length of object
= 32
8
= 4
The scale factor of the dilation of the given object is 4.
What is scale factor of dilation?The scale factor of dilation of an object is determined by taking the ratio of image length to corresponding object length.
The scale factor of the dilation of the object is calculated as follows;
[tex]S.D = \frac{32\pi \ cm^2}{8\pi \ cm^2} \\\\S.D = 4[/tex]
Thus, the scale factor of the dilation of the given object is 4.
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What is the volume of the rectangular prism?
Height : 10 1/2 in.
Width : 2 3/4 in.
Length : 5 in.
Answer:
Step-by-step explanation:
volume=10 1/2 ×2 3/4 ×5
=21/2×11/4×5=1155/8=144 3/8 cubic inch
A container of water is heated to 100°C. At this temperature, what will happen to the water
Answer: The water will start to boil.
Step-by-step explanation: Water boils at 100 C.
Answer:
I will boil I hope this answer was good!
help please!!!!!!!!!!!
Answer:
this may help you.look it once
-5(6 +x)
Using distributed property
Answer: -30 -5x
Step-by-step explanation:
(-5 times 6) = -30
(-5 times x)= -5x
you could write it as -30 + -5x or -30 -5x it’s the same thing
A jar contains 18 marbles that are all the same size. It contains 7 purple, 3 green, and 8 orange marble. What is the probability of picking a green marble? Type your probability as a fraction in the simplest form.
Answer:
1/6
Step-by-step explanation:
3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.
3/3=1
18/3=6
1/6
The probability of picking a green marble is 1/6.
To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.
The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).
So, the probability of picking a green marble can be written as:
P(green marble) = Number of green marbles / Total number of marbles
Substituting the values, we get: P(green marble) = 3 / 18
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6
Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.
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(Facto ): x ^ 3 - 1/x
Answer:
Can't factor..........
Step-by-step explanation:
Answer:
I'm sorry but you cant factor this expression and I checked it online:)
hope this helped, if it did please mark as brainliest!
Harper’s parents put $75 into her school lunch money account. Each meal she gets from school costs her $3.25. The school sends Harper’s parent’s an email when the balance reaches $19.75. Let m be the number of meals Harper has bought when they get the email. Set up and solve an equation to find the value of m.
Solve the equation 5y – 7x = 7 for y. 7 7 Oy x+ o y = 35x + 35 Оу — als 7 5 o y= 35 – 35x
Answer:
1st option
Step-by-step explanation:
Given
5y - 7x = 7 ( add 7x to both sides )
5y = 7x + 7 ( divide the terms by 5 )
y = [tex]\frac{7}{5}[/tex] x + [tex]\frac{7}{5}[/tex]
Complete the function table below function
f(x) = 6x -3
Hiiooo ! Could anybody help me?❤️ :D
Answer: Hello Luv.........
The answer is: " 27.5 inches " . The width of the television set is: "27.5 inches"
C. 12 inch's. Sorry if i'm wrong.
Step-by-step explanation:
Please mark me brainest please.
Hope this helps.
Anna ♥
the perimeter of a rectangle is 24 cm. if the length is y cm, what is the width?
Please evaluate the expression below. Select the answer with BOTH correct answers (the product in standard form and the product in Scientific Notation). (8.08×106)×(7.5×10−2) A) 60,600;6.06×10^5 B) 60,600;60.6×10^4 C) 606,000;6.06×10^5 D) 606,000;60.6×10^4
Answer:
Standard form = 606000
Scientific notation = 6.06*10^5
Step-by-step explanation:
Given the expression
(8.08×106)×(7.5×10−2)
This can also be expressed as;
(8.08*7.5) * (10^6*10^-2)
= 60.6*10^4
= 606000
express in scientific form;
606000
= 60.6*10^4
= 6.06*10^1*10^4
= 6.06 * 10^5
Luigi is an urban planner. As an independent contractor, he charges $140 fee plus $25 per hour for each contract with the city. Write an equation that represents this scenario where y represents the total amount he charges for a project and x represents the number of hours worked on a project.
A. x = 25y + 140
B. x = 140y + 25
C. y = 140x + 25
D. y = 25x + 140
What are the coordinates of vertex D to complete the square ABCD?
les -)
A)
(3,6)
B)
(4,7)
C)
(7,3)
D
(7,4)
Where the above is square, the coordinates are: (4, 7). This is obtained by simply tracing the A-D in equal distance with B and C.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
A coordinate system is a framework for specifying the relative positions of objects in a specific region, such as an area on the earth's surface or the whole earth's surface. A geographic coordinate system determines locations on the world by using a three-dimensional spherical surface.
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HELP ON THIS PLEASE GUYS :(
you have a brain, do it yourself
What is the value of xin the diagram?
A. 9
B. 8
C. 7
D. 6
Answer:
7
Step-by-step explanation:
The ratio of the similar triangles is
14 49
---- = ------
2 x
Using cross products
14x = 2*49
14x = 98
Divide by 14
14x/14 = 98/7
x =7
5. A 50-inch piece of wire is bent into the shape of a rectangle. Find the dimensions of the rectangle
of maximum area that can be formed from the wire,
Answer:
length = 12.5 in, width = 12.5 in, Area = 156.25 in²
Step-by-step explanation:
To get the maximum area, the wire can be shaped into a square. We can say that the length and width of the rectangle must be equal to each other, and call this value "x".
Therefore, we can write an equation for the perimeter:
2x + 2x = 50 4x = 50 x = 12.5The area of the rectangle is calculated using the formula:
A = lwOr in our case, the area of the rectangle is the area of a square:
A = x²Substitute x = 12.5 into this equation.
A = (12.5)² A = 156.25The maximum area that can be formed from the wire is 156.25 in², and the dimensions of the rectangle are 12.5 x 12.5 in.
You deposit $2500 in a bank account that pays 5% annual interest. Find the balance
after 4 years if the interest is compounded monthly. Round to the nearest cent.
Answer:
Answer key
Step-by-step explanation:
https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/12543/trig%207.1%207.2%207.3%20day%20key.pdf
Hello I need help../ Why was madame cj walker was proud of her daughter?
I need help
plzzz
A company tests two new products to make sure they last for more than a year. Product 1 had 950 out of 1,000 test items last for more than a year.
Product 2 had 150 out of 200 last for more than a year. If you had to choose one of these two products to use for more than a year, which one is more
likely to last?
Answer:
c and d
Step-by-step explanation:
Please help me I’m stuck
Answer:
[tex]x = 3.7[/tex]
Step-by-step explanation:
We can find the side of the hypotenuse by applying pythagorean theorem.
[tex] {5}^{2} + {5}^{2} = {x}^{2} [/tex]
[tex]25 + 25 = {x}^{2} [/tex]
[tex]50 = {x}^{2} [/tex]
[tex]x = 5 \sqrt{2} [/tex]
Now we can apply pythagorean theorem on the other triangle
[tex](5 \sqrt{2} ) {}^{2} + {x}^{2} = {8}^{2} [/tex]
[tex]50 + {x}^{2} = 64[/tex]
[tex] {x}^{2} = 14[/tex]
[tex]x = \sqrt{14} [/tex]
[tex]x = 3.7[/tex]
Answer:
Step-by-step explanation:
use Pythagoras's theorem to find the hypontenuse of the isosceles triangle on the right side.
hyp = sqrt [ 5^2 + 5^2 ]
hyp = sqrt [ 50 ]
hyp = 7.0710678
now we know the adjacent side of the triangle on the left , since it's the same as the hypotenuse of the triangle on the right.
SOH CAH TOA ( to remember how the trig funct. fit on triangles)
CAH Cos(Ф) = adj / hyp
cos(Ф) = 7.0710678 / 8
Ф = arcCos( 7.0710678 / 8 )
Ф = 27.8855668°
TOA Tan(Ф) = x / 7.0710678
Tan( 27.8855668° ) = x / 7.0710678
7.0710678 * Tan( 27.8855668° ) = x
3.741657 = x
x = 3.7 ( to the nearest 10th )
10x = 2x -8 what is this answer
Answer:
x=-1
Step-by-step explanation:
Answer:
10x = 2x -8
-2x -2x
8x = -8
divide by 8
x = -1
Read the paragraph.
Jamile is recording secretary of our school's student council. His primary job is to take notes at
each meeting and present a brief summary at the next one. But Jamile's summaries include
almost every comment from every council member. Dina has told him the only problem with
his presentations is that they
Which phrase would add VERBAL IRONY to the paragraph?
aren't sufficiently brief
run longer than the meetings
take too much time to read
include minor details
Answer:
Aren't sufficiently brief!
The phrase add VERBAL IRONY to the paragraph would be that they "are too precise."
What is Irony and Verbal Irony?Irony means expressing by words, actions or events something opposite of what really is meant or desired.
Therefore, Verbal irony refers use of words to say something opposite of what one actually means or wants to say.
Examples:
The teacher finds her student that has hand-writing illegible and tells him that h deserves a prize for such a nice hand-writing.
We can conclude that phrase add VERBAL IRONY to the paragraph ;
they "are too precise."
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The record high temperature is 124 F the record low temperature for the same state is -8. What is the range integer? (Write and solve equation)
Answer:
132
Step-by-step explanation:
The range is the highest tempreature minus the lowest so
124--8
=124+8
=132