Answer:
The two people should stand 40 feet from the center so that they can hear each other whisper
Step-by-step explanation:
From the question
Width of the gallery = 100 feet
Width = 2a
a = Width/2
a = 100/2 = 50 feet
Height of the gallery = b = 30 feet
Hence, the distance is
d² = a² - b²
d = √a² - b²
d = √50² - 30²
d = √2500 - 900
d = √1600
d = 40 feet
Hence, the two people should stand 40 feet from the center so that they can hear each other whisper.
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment A double prime B double prime = segment AB over 2 segment AB = segment A double prime B double prime over 2 segment AB over segment A double prime B double prime = one half segment A double prime B double prime over segment AB = 2
Answer:
A. segment A double prime B double prime = segment AB over 2Step-by-step explanation:
Triangle ABC with coordinates of:
A = (-3, 3), B = (1, -3), C = (-3, -3)Translation (x + 2, y + 0), coordinates will be:
A' = (-1, 3), B = ( 3, -3), C = (-1, -3)Dilation by a scale factor of 1/2 from the origin, coordinates will be:
A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)Let's find the length of AB and A''B'' using distance formula
d = √(x2-x1)² + (y2 - y1)²AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13We see that
AB = 2A''B''Now the answer options:
A. segment A double prime B double prime = segment AB over 2
CorrectB. segment AB = segment A double prime B double prime over 2
Incorrect. Should be AB = A''B''*2C. segment AB over segment A double prime B double prime = one half
Incorrect. Should be AB/A''B'' = 2D. segment A double prime B double prime over segment AB = 2
Incorrect. Should be A''B''/AB = 1/2Answer:
A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
The speed of sound in hydrogen is about 3.9 times its speed in air. If its speed in
hydrogen is almost 1287 m/s, what is its speed in air?
Answer:
330
Step-by-step explanation:
Answer:
330 m/s
Step-by-step explanation:
Divide 1287 m/s by 3.9 to get the speed of sound in air as given that the speed of sound in hydrogen is 3.9 times it's speed in hydrogen.
Hope this makes sense.
Good luck!!
If Kayla buys 50 apples for $20 what is the unit rate?
Answer:
2.50 dollars an apple.
Step-by-step explanation:
Divide 50/20
Answer:
2.5 per apple
Step-by-step explanation:
50 ÷ 20=2.5
Write the reciprocal of -2/7
Answer:
answer is -7/2
Step-by-step explanation:
Evaluate the function.
f(x) = -x^2 + 6
Find f(-3)
Hello! Did anyone took the isat ( International student admission test) ?? Please let me know !
Answer:
No, I haven't taken the isat.
Step-by-step explanation:
Answer:
No, what is it for?
Step-by-step explanation:
Unit 4 Test, Part 2: Congruence and Constructions
Help with my math please
Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP
[tex] \overline{NM} = 20 [/tex]
[tex] \overline{MK} = 15 [/tex]
[tex] \overline{KN} = 25 [/tex]
[tex] \overline{TR} = 3x - 1 [/tex]
a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to [tex] \overline{TR} [/tex] is [tex] \overline{NM} [/tex]. Thus:
[tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex]
c. Since [tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex], therefore:
[tex] \overline{TR} = \overline{NM} [/tex]
[tex] 3x - 1 = 20 [/tex] (substitution)
Add 1 to both sides
[tex] 3x = 20 + 1 [/tex]
[tex] 3x = 21 [/tex]
Divide both sides by 3
[tex] x = \frac{21}{3} [/tex]
[tex] x = 7 [/tex]
2. a. Slope of LK = [tex] \frac{rise}{run} = \frac{4}{3} [/tex]
Slope of LM = [tex] \frac{rise}{run} = -\frac{3}{5} [/tex]
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):
[tex] Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} [/tex]
[tex] Lk = \sqrt{(3)^2 + (4)^2} [/tex]
[tex] Lk = \sqrt{9 + 16} [/tex]
[tex] Lk = \sqrt{25} [/tex]
[tex] Lk = 5 [/tex]
✍️Length of LM is the distance between L(-7, 4) and (-2, 1):
[tex] LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} [/tex]
[tex] LM = \sqrt{(5)^2 + (-3)^2} [/tex]
[tex] LM = \sqrt{25 + 9} [/tex]
[tex] LM = \sqrt{34} [/tex]
[tex] LM = 5.8 [/tex] (nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
what is the slope- intercept form of x+4y=16
Answer:
Y= -1/4x +4
Step-by-step explanation:
Slope intercept form is y=Mx+b
4y=16-x
Y= -1/4x +4
what is distributive property?
Answer:
To distribute means to divide something or give a share or part of something. For example, for the problem 4(6+2), you would use the distributive property and distribute the 4. Making the end result, 24+8.
Answer:
The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods
Step-by-step explanation:
A set of average city temperatures in October are normally distributed with a mean of
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text and a standard deviation of
2
∘
C
2
∘
C2, degrees, start text, C, end text.
What proportion of temperatures are between
1
8
∘
C
18
∘
C18, degrees, start text, C, end text and
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text?
Answer:
0.4032
Step-by-step explanation:
completely factor 1-100x^2
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b2 = ( a + b ) (a − b ) where a= 1 and b = 10 x . ( 1 + 10 x ( 1 − 10 x )
Step-by-step explanation:
CONVERT 1.3333........ into p/q form
Answer:
4/3In short form, it is x is equal tox= 12/9The function p is defined as p(x) = x2 – 3x. If the
function q is defined as q(x) = p(x) – 4, what is the
value of q(10) ?
A) -30
B) 6
C)
66
D) 70
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]q(x) = {x}^{2} - 3x - 4[/tex]
[tex]q(10) = ( {10})^{2} - (3 \times 10) - 4 [/tex]
[tex]q(10) = 100 - 30 - 4[/tex]
[tex]q(10) = 70 - 4[/tex]
[tex]q(10) = 66[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
which triangle is the most similar to triangle ABC?
if you spun the spinner 100 times would you expect it to land on red
How many colors are there in total?
What is the median?
-2 -3 8 -6 -9
Answer:
-3
Step-by-step explanation:
its the middle number so you put them in order and get the ndeswer just whatevers in the midde
-9 -6 -3 -2 8
Answer:
The median is -3
Step-by-step explanation:
-9 -6 -3 -2 8 (least to greatest)
What should we subtract from 50/29 to get 24
Answer:
-22.28
Step-by-step explanation:
Let the number to be subtracted from 50/29 to get 24 to be x
So this can be written as : 50/29 - x =24 ----collect like terms as
50/29 - 24 = x
1.72 -24 = x
-22.28 = x
So to check the answer;
50/29 -{x} = 24
50/29 - {- 22.28} = 24
1.72+ 22.28 = 24 ---correct.
does this graph show a function? explain how you know
Answer:
B
Step-by-step explanation:
if you drew a line on top of any part of the parabola, you will only touch the line once.
(when drawing a line, they are always vertical, not horizontal)
C.
tan(450)
Help please!
Answer:
The answer is 0
Step-by-step explanation:
16x² +8-7x-3x2 - 13x
Answer:
[tex]13x^{2}[/tex]-20x+8
Step-by-step explanation:
Step 1: rearrange the equation
16x^2 - 3x^2 - 7x - 13x +8
Step 2: solve the equation
16x^2 - 3x^2 = 13x^2
-7x - 13x = -20x
(the +8 will stay the same)
so when we put it all together it gives us
13x^2 - 20x + 8
What is the boiling point of salty ocean water?
Answer: approximately 105.7°C
Step-by-step explanation:
Seawater of 35 psu has a specific heat of 0.932 compared with 1.000 for pure water. Pure water freezes at 0 °C and boils at 100 °C (212 °F) under normal pressure conditions. When salt is added, the freezing point is lowered and the boiling point is raised. Therefore, we can tell that salt increases the boiling temperature, but not by very much. If you add 3 grams of salt to 100 grams (or mL) of water, instead of boiling at 100° C, it'll boil at 100.5° C.
And I'm not sure about the ocean water because the expected range is too wide and various, so maybe I guess the boiling point of salty ocean water would be about 105.7°C?
THIS IS URGENT, IM ABOUT TO START CRYING!!!
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −5
0 −1
1 3
g(x)
g(x) = 4x + 3
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
PART A:
Finding the slope of the function f(x)
Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)
Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)
Slope =
Slope of f(x) = 5
The function g(x) is given in the straight line equation form
Where, is the slope and is the y-intercept
Slope of g(x) = 2
-----------------------------------------------------------------------------------------------------------
g(x) = 2x + 8
Where, the slope (m) = 2 and the y-intercept (c) = 8
The y-intercept of g(x) is 8
for f(x), we can read the y-intercept when x = 0.
From the table, when x = 0, y = -10
The y-intercept of f(x) is -10
Function g(x) has higher y-intercept
4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?
this is a test for middle schoolers but anyone is free to answer
Answer:
$42
Step-by-step explanation:
Equation: y = 6x
x = number of ice cream cones
y = 6(7) = 42
Hi! I believe your answer is $10.50. If it's $6 for 4 ice cream cones, divide 6 by 4 and you'll get 1.5, or $1.50 per ice cream cone. For 7 ice cream cones, multiply the unit rate ($1.50 per ice cream cone) by 7. The total cost is $10.50. I hope this helps you! Good luck and have a great day. ❤️✨
0,1,-1,undefined ......
100 points---> true or false. my name is grace, my favorite sports are football and softball, and I'm a left handed utility player
Answer:
true
Step-by-step explanation:
I haven't a clue on what is going on here but I will act like I do
Answer:
I will say true
Step-by-step explanation:
Thanks for free points
The value of $\sqrt{73}$ is between two positive, consecutive integers. What is the product of these two integers?
Answer:
Step-by-step explanation:
What are the two closest square numbers to 73?
64 and 81
[tex]\sqrt{64} \leq \sqrt{73} \leq \sqrt{81}\\8\leq \sqrt{73} \leq 9\\8*9 = 72[/tex]
Answer:
72
Step-by-step explanation:
Since $73$ is between $64=8^{2}$ and $81=9^{2}$, we know that $\sqrt{73}$ is between $8$ and $9.$ Our answer is $8\cdot9=\boxed{72}.$
38. By the commutative property, 3(w +9) is
equivalent to which expression?
A. 3w + 9
B. 3w + 27
C.
D. 3(9+ w)
Answer:
B
Step-by-step explanation:
3 ( w + 9 )
3 × w + 3 × 9
3w + 27
Hope this helps
plz mark as brainliest!!!!!!!
PLEASE HELP ME!!! Point Q is located at (-4, 6) Point R is located at (8, 6)
what is the distance from point Q to point R?
If I pay $600 in interest for my simple interest loan for $10,000 at an
interest rate of 3%, how long did I have the loan for?
Answer:
2 periods
Step-by-step explanation:
Simple interest is compounded one time, usually annually, although it could be less time or longer. Thus I answer 2 periods. If your choices include 2 years, that is most likely the answer.
To find the answer,
$10,000 x .03 = $300.
$600 / $300 = 2 periods.
Hope this helps.
Good luck
How many of the numbers between 8 and 65 are a multiple of 7?
A) 5
B) 6
C) 7
D) 8
Answer:
8 is the answer.
8 numbers between 8 and 65 are a multiple of 7