Look at the rectangle and the square
Ada says that the length of diagonal SQ is two times the length of diagonal OM.
Is Ada correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals
Answer:
NO. Ada is not correct.
Step-by-step explanation:
Using Pythagorean Theorem, find the length of the diagonal of the rectangle and the square, respectively.
✔️Diagonal of the Rectangle:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 8 in.
b = 16 in.
c = hypotenuse (longest side of a right ∆)
Plug in the values into the equation
[tex] 8^2 + 16^2 = c^2 [/tex]
[tex] 64 + 256 = c^2 [/tex]
[tex] 320 = c^2 [/tex]
Take the square root of both sides
[tex] \sqrt{320} = \sqrt{c^2} [/tex]
[tex] 17.9 = c^2 [/tex] (nearest tenth)
Length of diagonal SQ = 17.9 in
✔️Diagonal of the Rectangle:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 8 in.
b = 8 in.
c = hypotenuse (longest side of a right ∆)
Plug in the values into the equation
[tex] 8^2 + 8^2 = c^2 [/tex]
[tex] 64 + 64 = c^2 [/tex]
[tex] 128 = c^2 [/tex]
Take the square root of both sides
[tex] \sqrt{128} = \sqrt{c^2} [/tex]
[tex] 11.3 = c^2 [/tex] (nearest tenth)
Length of diagonal OM = 11.3 in.
SQ is not two times the length of OM.
Therefore, Ada is not correct.
Answer:
No Ada is not correct
Step-by-Step Explanation:
The length of diagonal SQ is not two times the length of diagonal OM. When you split the rectangle using the diagonal you can make a right triangle and use the Pythagorean Theorem to the rest of it.
This would be the Rectangle:
a^2+b^2=c^2
8^2+16^2=c^2
64+256+c^2
320=c^2
√320
17.8
This would be the Square:
a^2+b^2=c^2
8^2+8^2=c^2
64+64=c^2
128=c^2
√128
11.3
Now when I divide these answers that I came up with I get 1.7 which is not equal to 2 therefore SQ is not two times bigger than OM.
I hope this helped :3
can someone please give the answers the these 2 questions, ignore the blue dot one the fist questions i clicked it by accident
Answer:
1. 350
2. 50
Step-by-step explanation:
1. you can create an equation y = 50x + 200, plug in 3 you and you get y = 350
2. it says it in the first problem
tip: when doing stuff on canvas, use a different device to look up answers, Canvas can track when you switch tabs
although it cant see where you go, it can still track how many times you left the website/app
A package of poster board usually sells for $8.40. This week the package is on sale for $6.30. What is the percent of discount?
A.
25%
B.
33.3%
C.
15%
D.
21%
Answer:
A. 25%
Step-by-step explanation:
[tex](8.40-6.30)/8.40[/tex][tex]2.10/8.40[/tex][tex]1/4[/tex][tex]0.25[/tex]Emma starts at one end of a 45-mile-long bike trail. After
riding 216 miles, she stops for water. How much farther
does she need to ride to reach the end of the trail?
Answer:
She has already reached the end of the trail.
Step-by-step explanation:
216 is a greater number than 45 miles
1.) What is the relationship between angles 1, 2, and 3?b
Answer:
Exterior Angle Property of a Triangle
Step-by-step explanation:
According to exterior angle property of a triangle , the measure of any one exterior angle of a triangle is equal to the the sum of measure of it's opposite interior angles.
The relationship between angles 1, 2 and 3 is that they follows exterior angle principle. Therefore, ∠3 = ∠2 + ∠1
Exterior angle theoremThe exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
In other word, the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles
Therefore, the angle 3 is related to angle 1 and 2(remote interior angles) by the exterior angles theorem. Mathematically, this can be represented as follows:
∠3 = ∠2 + ∠1
learn more angles here: https://brainly.com/question/12509744
#SPJ2
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(8, 2) (8,4)
Step-by-step explanation:
Hey there!
The given points are; (8,2) and (8,4).
Note: Use slope formula.
Now;
[tex]slope(m) = (\frac{y2 -y 1}{x2 - x1}) [/tex]
Keep all values.
[tex]m = \frac{4 - 2}{8 - 8} [/tex]
Simplify it.
[tex] m = \frac{2}{0} [/tex]
When we divide any number by "2" the result is undefined.
Therefore, the slope of the points is undefined.
Hope it helps...
Plsss help I’ll give u brainlest and 5 or 10 points
Answer:
I think it’s c
Step-by-step explanation:
A collector’s item is purchased for $150 and its value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double?
Answer:
The answer is B
Step-by-step explanation:
your welcom
Answer:
B
Step-by-step explanation:
Which of these statements correctly compares the graphed function f(x) to the function g(x)= x/2+5
Answer:
I’m pretty sure it’s B
Step-by-step explanation:
Answer:
C (the rate of change of f(x) is -1/2 and g(x) if 1/2
Step-by-step explanation:
i cant be 100% sure so take this with a grain of salt but if x was 1, f(x)'s rate of change (another word for slope) would be -1/2 whilst g(x)'s slope would be 1/2.
A health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound. Which system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture?
Answer:
The system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture is:
p + c = 6....... Equation 1
4p + 5c = 4.40(6)....... Equation 2
Step-by-step explanation:
A health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound. Which system of linear equations can be used to determine the number of pounds of each dried fruit in the mixture?
Let the number of pounds of dried peaches = p
the number of pounds of dried cherries = c
We are told: health food store sells dried peaches (p) for $4 per pound and dried cherries (c) for $5 per pound. A six pound mixture of the two dried fruits cells for $4.40 per pound.
Hence: The system of equations is given as:
p + c = 6...... Equation 1
$4× p + $5 × c = $4.40(6)
4p + 5c = 26.4.......Equation 2
The sum of positive integers b and h is 34. If their difference is 8, what is the value of bh?
A. 25
B.56
C. 75
D. 273
Answer:
D. 273
Step-by-step explanation:
b+h=34
difference is 8
2b=42
b=21
34-21=13
h=13
13*21=273
answer is D
Evaluate the
expression:
(52 - 42) = 3
It is impossible, because when simplified, it is 10=3 which is incorrect and can never be correct.
what is the slope of the line y = 20x
Answer:
20
Step-by-step explanation:
The slope formula is y= mx+b
m= slope
x= x (the variable)
b= y-intercept
in this case, 20 would be m in the formula.
remember slope is rise/run. (Rise up, then go left or right)
hope this helps :)
For which system of equations is the graph below a solution
Answer:
what is the equation for D?
Step-by-step explanation:
Answer: A
Step-by-step explanation:
can someone find loverboy444? thank you! who ever finds him will get a request!
Answer:
I can try
Step-by-step explanation:
Will give brainlist if correct!
Which linear equation matches this graphed line?
y = 2x + 5
y = 1/2x-5
y = 2x+5
y = 1/2x + 5
Answer:
I think one of the choices was entered incorrectly. You have y=2x+5 listed twice. I believe the answer is y=-2x+5
Step-by-step explanation:
5 is the y-intercept and it is a +5 because it is above the x-axis. Slope = rise/run. In this case the slope should be negative thus -2x. Hope this helps.
Write an equation in point-slope form that goes through the point (-2,5) and has a slope of 6.
What is the answer here?
Answer:
2 only
Step-by-step explanation:
the slope is 2 in function 1 and function 2 is the only other slope that is 2 as well
Pls I need help it's due today and I'm failing
Answer:
What Can I Help With Sir?
There Is Nothing Posted!
HELPPPPPP!!! ALGEBRA!!!
Answer:
A) 10/3
Step-by-step explanation:
substitute the y statement into the x statement and solve regularly.
3x = 2(-6x + 18) + 14
3x = -12x + 36 + 14
3x = -12x + 50
15x = 50
x = 10/3
Hope this helps. Pls give brainliest.
please solve this equation and show work tysmmmm5(p+6)=8p
Answer:
P=10
Step-by-step explanation:
5p+30=8p
30=3p
10=p
Answer:
5 ( p + 6 ) = 8p
Distribute (multiply 5 by p and 6)
5p + 30 = 8p
Subtract 5p from both sides
30 = 3p
Divide by 3 to isolate variable
10 = p
Step-by-step explanation:
please help me with this assignment
Step-by-step explanation:
Ok, so here are the basic steps of problem one:
P: Parenthesis. Flip both the negatives to positives: (6)to the 5th power X (6) to the 4th power.
E: Exponents: bring the first 6 to the 5th power: 6x6x6x6x6=7776 and the second to the 4th: 6x6x6x6=1296
M:Multiplication. Multiply 6 and 6 to get 10077696 (Thats you answer!)
Dr.Patterson just started an experiment .she will collect data for 8 days .How many hours is this
Answer:
192h
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
there are 24 hours in a day and the experiment is 8 days so 24×8=192
can someone check my answers plz
Answer:
its right
can i have brainliest please
Answer:
I got the same answers as you
Mae Ling earns a weekly salary of $390 plus a 5.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,600 worth of merchandise?
Answer:
chen como es de tus feb jus montaña
An angle measures 90° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Supplementary angles add up to 180 degrees more than the other, you can formulate an equation 180=(100+x)+x80=2x so, x=40 the other angle is 100 degrees more. So, the angle lengths are 40 and 140 degrees
Solve -2y + 1 = y-5.
оа
Ob
y = 2
y=-2
y = -6
ос
od
Y = 6
Answer:2y+1=y-5.
We move all terms to the left:
2y+1-(y-5.)=0
We add all the numbers together, and all the variables
2y-(y-5)+1=0
We get rid of parentheses
2y-y+5+1=0
We add all the numbers together, and all the variables
y+6=0
We move all terms containing y to the left, all other terms to the right
y=-6
Step-by-step explanation:
peeps go look up egde rewies
*shocking*
-runs in high heels-
-trips-
oh my! dear child..
Pls help me asap :/, i wanna finish already ú-ù
Write GH¢45,632.00, correct to the nearest thousand cedis.
Answer:
46,000
Step-by-step explanation:
When rounding to the nearest thousand, look at the number in the hundredths place (6). Since 6 is greater than 4, you round it up to the next thousand.