The position and nature of the image are magnified,
What is the focal length?Focal length, usually represented in millimeters (mm), is the basic description of a photographic lens.
Radius of curvature of the mirror, R = -60 cm
Focal length of the mirror, f = -30 cm
Object distance, u = -20 cm
Let v is the position of the mirror. It can be calculated as :
[tex]\rm \dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}\\\\\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{-30}-\dfrac{1}{-20}\\\\\\\dfrac{1}{v}=\dfrac{-20 - (-30)}{(-30)(-20)}\\\\\dfrac{1}{v}=\dfrac{10}{(-30)(-20)}\\\\\dfrac{1}{v}=\dfrac{10}{600}\\\\\dfrac{1}{v}=\dfrac{1}{60}\\\\v=60[/tex]
The image is formed at a distance of 60 cm behind the concave mirror.
[tex]\rm m=\dfrac{-v}{u}\\\\m=\dfrac{-60}{-30}\\\\m=2[/tex]
The image is magnified.
Hence, the position and nature of the image are magnified,
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What is the value of X?
the figure is a triangle
given angle: 52º
missing angle 1: (15x + 3)º
missing angle 2: (3x - 1) º
Answer:
just know total angle sum is 180°
Step-by-step explanation:
[tex]52 + (15x + 3) + (3x - 1) = 180 \\ 52 + 3 - 1 + 15x + 3x = 180 \\ 54 + 18x = 180 \\ 18x = 180 - 54 \\ 18x = 126 \\ x = 7[/tex]
but give me a brainliest
Answer:
x = 7
Step-by-step explanation:
→ Find the sum of the angles
52 + 15x + 3 + 3x - 1 = 18x + 54
→ Wquate the expression to 180
18x + 54 = 180
→ Solve for x
x = 7
Given F(-7,8), G(-4,6), H(1,3), and
I(x,9). Find x such that FG I HI.
Answer:
(8,-4), (3,X)
Step-by-step explanation:
please help!! hurry! thank you
Answer:
108 degrees
Hope this helps!!
What is the mean of the following data values?
23, 79, 81, 10, 62
A. 71
B. 82
c. 62
D. 51
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
What is the mean of the following data values? 23, 79, 81, 10, 62
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First, we add all the data values:-
[tex]\Large\text{23, 79, 81, 10, 62}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\large\textit{255}[/tex]
[tex]\dagger[/tex] Now, divide by the number of data values (5):-
[tex]\large\text{255:5}[/tex]
[tex]\triangle[/tex] Which results in:-
[tex]\Large\textit{Mean=51 (Option D)}[/tex]
Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
The measure of AB is 126º. What is the measure of ABC, the tangent- chord angle?
Ans: B 63 degree
Step-by-step explanation:
Chord
to find the chord
1/2 or either 0.5
0.5 x 126 = 63
Mark me as Brainliest
Ty , hope it helped
Answer:
B
Step-by-step explanation:
is is correct 63 degrees , Hope this helps !!
HELP ME PLS IM THIS CLOSE TO LOOSING ALL OF MY SANITY
Answer:
INSPIRING
Step-by-step explanation:
If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse. And if the sides satisfy the Pythagorean theorem, it is a right triangle.
A game has a spinner with 8 equal- sized sections. The results of 450 spins are shown in the table. Part Frequency 1 58 2 52 3 39 4 77 5 50 6 43 7 60 8 71
For which number is the experimental probability closest to the theoretical probability
Using it's concept, it is found that the experimental probability is closest to the theoretical probability for number 1.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The theoretical probability is calculated before any experiments, while the experimental probability is calculated after experiments.
Considering that the sections are equal-sized, the expected frequency for each section is given by:
Ef = 450/8 = 56.25.
The closest frequency to 56.25 is of 58, associated with number 1, which is the one that has the closest probabilities.
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which equation represents a line which is parallel to the line 7y-5x=-42?
Rewrite the expression with rational exponents as a radical expression.
7 times x to the two thirds power
Answer:
[tex]7 \sqrt[3]{2} [/tex]
Evaluate. 33 + ( 2 3 )2 A) 9 4 9 B) 9 2 3 C) 27 2 3 D) 27 4 9
Answer:
B
Step-by-step explanation:
9 2 3
what is the opposite of -26? how many units away from 0 is its location on a horizontal number line,and in which direction ?
Whats 793861 x 672540 =
Help pls
Answer:
533903276940
Step-by-step explanation:
easy
Answer:
533,903,276,940
Step-by-step explanation:
Have a nice day/night!
What expression has a value of 13?
Answer:
The answer is A) 5^2 + (2 x 1) - 14
Step-by-step explanation:
Use PEMDAS ( Parentheses, Exponent, Multiply or Divide, Add or Subtract)
5^2 + (2 x 1) - 14
5^2 + 2 - 14 Do what's in the parentheses
25 + 2 - 14 Then you will do the exponent
27 - 14 Then you subtract
13
what is 123456x123456
Answer:
Well if you really want to know, it's 15241383936.
Hope this helps
Help please!!
I can’t figure this out
Check the picture below.
so the prism is a "right square" prism, namely it has only right-angles and two of its faces are a square, namely the front and back. We know it has a surface are of 220 cm², so let's check what the width "w" is first.
[tex]\stackrel{\textit{\huge surface area}}{\stackrel{\textit{front and back}}{2(5)(5)}~~ + ~~\stackrel{\textit{left and right}}{2(5)(w)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5)(w)}}~~ = ~~\stackrel{cm^2}{\textit{\Large 220}} \\\\\\ 50~~ + ~~10w~~ + ~~10w~~ = ~~220\implies 50+20w=220\implies 20w=170 \\\\\\ w=\cfrac{170}{20}\implies w=\cfrac{17}{2} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\huge volume}}{\stackrel{length}{(5)}~~\stackrel{height}{(5)}~~\stackrel{width}{\left( \cfrac{17}{2}\right)}}\implies \cfrac{425}{2}\implies 212.5[/tex]
i need helpppppp!!!!
Answer:
The first one
Step-by-step explanation:
neritic zone, shallow marine environment extending from mean low water down to 200-metre (660-foot) depths, generally corresponding to the continental shelf. Neritic waters are penetrated by varying amounts of sunlight, which permits photosynthesis by both planktonic and bottom-dwelling organisms.
Barry ran a total of 40 miles over the course of 5 track practices. how many track practices would it take for barry to run 48 miles?
Hairs was asked to evaluate the algebraic expression-3x + 6 when x=-7. 5
Answer:
28.5
Step-by-step explanation:
substitute x = - 7.5 into the expression
- 3(- 7.5) + 6 = 22.5 + 6 = 28.5
Different formulas are used to find the areas of different types of triangles.
True
or
False
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Depending on the angles, the size, and the form of the triangle the formula can change.
1. You want to buy one drink and some tacos. A drink
costs $2.25 and tacos cost $1.75. You have $10. Write
an inequality. How many tacos can you buy?
2
is
A bucket can hold a total of 5 gallons. If the bucket is 45% full, how much water is in the bucket?
The question is an illustration of volume, and the amount of water in the bucket at 45% full is 2.25 gallons
How to determine the amount of water?The capacity of the bucket is given as:
Bucket = 5 gallons
At 45% full, we have:
Capacity = 45% * 5 gallons
Evaluate the product
Capacity = 2.25 gallons
Hence, the amount of water in the bucket at 45% full is 2.25 gallons
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N/2+5=3
Two step equations solve step by step
Solving the equation:-
[tex] \frac{N}{2} + 5 = 3 \\ \frac{N}{2} = 3 - 5 \\ \frac{N}{2} = ( - 2) \\ N = - 2 \times 2 \\ N = ( - 4) [/tex]
PLS HELP I will give Brainlyest answer!!
6. Place these activities in the correct order
Complete the Final Exam within 60 days of your enrollment start date
Complete the required Unit Assignment(s)
Complete a Unit Pretest
Request the Final Exam
Repeat for every unit
Points
0
/1
The correct order of the given activities includes:
Complete the required Unit Assignment(s)Complete a Unit PretestRequest the Final ExamComplete the Final Exam within 60 daysRepeat for every unitWhat is an Assignment, Pretest and Final Exam?An Assignment are given at end of a lecture, a Pretest give the students a preview of what to expect from a new unit while a Final Exam test their intelligence to proceed to next unit.
Therefore, the correct order are Complete the required Unit Assignment(s), Complete a Unit Pretest, Request the Final Exam, Complete the Final Exam within 60 days and Repeat for every unit.
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See your levels
A string of lights 4 yards long costs $9.48. What is the price per foot?
Hint: There are 3 feet in 1 yard.
$
Submit
Answer:
$0.79
Step-by-step explanation:
4 x 3 = 12
9.48/12 = 0.79
Hope this helppsssssssssssssssssssssssssssssssssssssssssssssss
What is the inverse of the function f(x) = x 3? h(x) = one-thirdx 3 h(x) = one-thirdx – 3 h(x) = x – 3 h(x) = x 3
The inverse of the function f(x) = [tex]x^{3}[/tex] is : [tex]\sqrt[3]{x}[/tex]
What is the inverse of a function?The inverse of a function is that function that acts to undo a given function.
Analysis:
if f(x) = x^{3}, then let y = [tex]x^{3}[/tex]
[tex]\sqrt[3]{y}[/tex] = [tex]\sqrt[3]{x^{3} }[/tex]
x = [tex]\sqrt[3]{y}[/tex]
Replace y with x
h(x) = [tex]\sqrt[3]{x}[/tex]
in conclusion, the inverse of h(x) = [tex]\sqrt[3]{x}[/tex]
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AABC has vertices at A(1, -9), B(8,0), and C(9,-8).
Is AABC an equilateral triangle? Justify your answer.
Check the picture below.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{-9})\qquad B(\stackrel{x_2}{8}~,~\stackrel{y_2}{0}) ~\hfill AB=\sqrt{[ 8- 1]^2 + [ 0- (-9)]^2} \\\\\\ AB=\sqrt{7^2+(0+9)^2}\implies AB=\sqrt{7^2+9^2}\implies \boxed{AB=\sqrt{130}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]B(\stackrel{x_1}{8}~,~\stackrel{y_1}{0})\qquad C(\stackrel{x_2}{9}~,~\stackrel{y_2}{-8}) ~\hfill BC=\sqrt{[ 9- 8]^2 + [ -8- 0]^2} \\\\\\ BC=\sqrt{1^2+(-8)^2}\implies \boxed{BC=\sqrt{65}}[/tex]
now, we could check for the CA distance, however, we already know that AB ≠ BC, so there's no need.
White the equation of the circle with center -7,4 and diameter 12
Answer: (x -4)^2 +(y -7)^2 = 36
Step-by-step explanation: The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
(Help me pls as soon as possible this is due today!!!)
1. There are 20 goldfish and 30 minnows in the pond. What is the ratio of minnows to goldfish?
2. There are 15 quarters and 10 dimes in the jar. What is the ratio of quarters to dimes?
3. There are 50 stamps and 60 envelopes. What is the ratio of envelopes to stamps?
4. The store has 60 goggles and 20 flippers. What is the ratio of flippers to goggles?
5. The scale of a dinosaur mural is 1 foot for every 30 feet. If you want to draw a 90-foot dinosaur, how many feet long must it be?
6. Larry answered 8 out of every 10 questions on a test correctly. The test had 70 questions. How many correct answers did Larry give?
1) 3:2
2) 3:2
3) 6:5
4)1:3
5) 3 feet
6) 56 correct answers
Ally rolls an octahedron-shaped (8-sided) die with the number 1, 2, 3, 4, 5, 6, 7, or 8 on each face. What is the probability of getting either a 1 or 8?
25%
50%
75%
45%
Answer:
25%
Step-by-step explanation:
Find the length of XV for Rectangle WXYZ.
PLEASE HELP!!!!
Answer: 20.5
Step-by-step explanation:
