Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
[tex]d^2 = l^2 + l^2[/tex]
[tex]d^2 = 2l^2[/tex]
Take positive square root of both sides
[tex]d = \sqrt{2l^2}[/tex]
Split:
[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]
[tex]d = \sqrt{2} *l[/tex]
Recall that the side length (l) is rational.
However, [tex]\sqrt 2[/tex] is irrational.
So, the product of l and [tex]\sqrt 2[/tex] will be irrational
Hence:
The diagonal is irrational
Washington Middle School is painting a circle on their playground with a radius of 12 feet. What will be the total area of the circle, in square feet?
Answer: circle
A=452.39ft2
R radius 12
A=πr 2=π. 12 ‘2=452.38934ft’2
6.37x10^-2
Thanks to anyone who answers this.
Answer:
6.37 x 10^-2 =0.0637
need help please thanks
Answer:
6x-y = -18
Step-by-step explanation:
In 2019, Chris made $142,000 as a dentist. Social Security tax was 6.2% to a maximum income of $132,900.
Medicare tax was 1.45% of all income. How much did Chris pay in FICA Taxes?
Type your answer
Answer: $10,298.80
Step-by-step explanation:
Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.
His Social Security tax is therefore:
= 6.2% * 132,900
= $8,239.80
There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.
Medicare = 1.45% * 142,000
= $2,059
FICA tax = Social security + Medicare
= 8,239.80 + 2,059
= $10,298.80
Which of the following could be the side measures of a right triangle?
Answer:
c
Step-by-step explanation:
if you use the Pythagorean Theorem and take the sum of the square of the legs, it will equal the square of the hypotenuse in answer (c)
8² + 6² = 10²
64 + 36 = 100
100 = 100
Answer:
Step-by-step explanation:
C
i need help with 9th grade work
Answer: h(-1) is -3.
Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.
2(-1) - 1
= -2 - 1
= -3.
Answer:
h (-1)
-3
Step-by-step explanation:
h (-1) = 2 (-1) - 1
simplify 2.. (-1) - 1
answer= -3
Alvin is 15 years younger than Elga. The sum of their ages is 49. What is Elga's age?
Answer:
32
Step-by-step explanation:
Suppose Alvin is x years old. Then Elga is x+15 years old.
x+x+15=49
2x=34
x=17
17+15=32
brainliest give an explanation to
Answer:
70 caps, 72 hotdogs, 50 paintings, 8 scouts
Step-by-step explanation:
Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1
Answer:
Its a or c sorry if im wrong
(hope this helps :D hehe)
Step-by-step explanation:
Answer:
Please insert a graph.
Step-by-step explanation:
If you submit a picture of the graph on here, I will see how how I can help.
Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula
Answer:
The equation is:
y= 103 --23d
Step-by-step explanation:
The initial amount was 103 grams.
After one day of use the remaining amount of soap was 80 grams.
So the amount of time he spent in one day was:
Each day Leslie spends 23 grams of soap.
if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:
y= 103 --23d
What is the Range of
100, 75, 40, 90, 80, 100,
92, 88, 80, 84, 81?
Answer:
60
Step-by-step explanation:
100 is the greatest value, 40 is the lowest 100-40=60
Answer: 60 i think
Step-by-step explanation:
HELP!!!!
Given that x=6 and y=-4, evaluate each of the following expressions:
A. 5x/3y+x
B. 2x (square) - y (cube)
Answer:
A. 5x/3y+x=5×6/(3×-4)=30/-12=-10/4=-5/2
B. 2x (square) - y (cube)=2×6²-(-4)³=72--64=72+64=136
BRAINLIEST FOR ANSWER PLEASE HURRY
Answer:
11.3
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
8^2+8^2=128
the square root of 128 is 11.3137085
then you round to the nearest tenth and get 11.3
Calculating Algebraic expressions and stuff. (See Attachment) Plz explain if you can.
Answer:
no it is not correct
Step-by-step explanation:
it's kind of hard to explain in words so I'm sorry about that
hope it helps
simpliyfy (-3/7)^3 * (-3/7)^4
Answer:
Step-by-step explanation:
(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷
Answer:
the answer to this question is (-3/7)^7
PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS
hope it's helpful ❤❤❤
THANK YOU.
Answer:
4.35
Step-by-step explanation:
If the divisor have decimal places, multiply by 10, 100 ....
As denominator has one decimal place multiply denominator & numerator by 10
[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]
= 4.35
I need help with this question
Answer:
a) 2.5 x 10^5
b) 8.1 x 10^4
c) 9.06 x 10^8
d) 1.034 x 10^10
Rosie has £m in her pocket she is given £4 pocket money write an expression for how much money she has now
Answer:
m+4
Step-by-step explanation:
She currently has a variable "m" in her pocket which we don't know, BUT we know how much she is getting, which is 4.
help with question 1
Answer:
si=Ptr/100
and di solution
Enter the ordered pair for the vertices for 180°,0)(QRST).
Q
o
S
IR
O Q' = (-1,-3) R' = (-3,3 ) S'= (0,2)T' =(2, -1)
OQ' = (-1,3) R' = (-3,-3) S'=(0, -2)T' =(2, 1)
Q' = (1, -3) R' =(3,3) S' = (0,2)T' = (-2,-1)
Answer:
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is given as follows;
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1)
Step-by-step explanation:
The coordinates of he vertices of the triangle QRST are;
Q(1, 3), R(3, -3), S(0, -2), T(-2, 1)
A rotation of a point with coordinates (x, y) 180° about the origin gives;
The coordinate of the point of the preimage before the rotation = (x, y)
The coordinate of the point of the image after the rotation = (-x, -y)
Therefore we have;
The image of point Q(1, 3) after 180° rotation = Q'(-1, -3)
The image of point R(3, -3) after 180° rotation = R'(-3, 3)
The image of point S(0, -2) after 180° rotation = S'(0, 2)
The image of point T(-2, 1) after 180° rotation = T'(2, -1)
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is therefore, Q'(-1, -3), R'(-3, 3), S'(0, 2), and T'(2, -1);
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1).
The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.
Let the first angle be x
So, second angle = (x+15)°
and third angle= (x+ 45)°
Now,
x+ (x+15) + (x+45)= 180°. ( Triangle sum property)
x+x+x+15°+45° = 180°
3x+ 60° = 180°
3x= 180°-60°
3x= 120°
x= 120°/3
x= 40°
Now,
first angle=x= 40°
second angle = (x+15)°= 40°+15° = 55°
third angle= (x+45)° = 40°+45° = 85°
Hope it helps you. Please mark as brainliest if it does.
A storekeeper increased the price of hats by 5%.
Write an equation to calculate the increase of the total
cost, c, when the price of a hat is p dollars.
Select all that apply.
A c 1.50p
BC-,95p
cc 1.05p
Dc-1 + 05p
Ec-(1 + .05)p
Answer: c = 1.05p
Step-by-step explanation:
Price of the hat = p
Percentage increase in the price of the hat = 5%
The equation to calculate the increase of the total cost, c, of the hat will be:
c = p + (5% × p)
= p + (5/100 × p)
= p + (0.05 × p)
= p + 0.05p
c = 1.05p
The square below has an area of x^2-10x+25 square meters
what expression represents the length of one side of the square?
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
Please solve as soon as possible
Answer:
.75
Step-by-step explanation:
Because three divided by four is .75
Answer:
Question 22: 0.75 or 75%
Question 23: 5:2
Step-by-step explanation:
Question 22: 3 divided by 4 equals 0.75
Question 23:
2.5 = 2.5/1
2.5 × 10/10 equals 25/10
25/10 divided by 5 equals 5/2
5/2= 5:2
A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?
Answer:
3600 watt-hours consumed per day.
Step-by-step explanation:
First we'll want to find how many hours are in 3 days and 6 hours.
3 x 24 = 72 + 6 = 78
78 hours is 3 days and 6 hours.
We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.
11700 / 78 = 150
Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.
150 x 24 = 3600
SOLVE
[tex](2 x - 4) {?}^{2} [/tex]
Answer:
4x² - 16.
Step-by-step explanation:
(2x-4)² =?
(2x-4)² = (2x)² - (4)²
= 4x² - 16.
Answer:
x = 2
Step-by-step explanation:
To solve , equate to zero, that is
(2x - 4)² = 0, so
2x - 4 = 0 ( add 4 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Solve this problem, please!
Answer:
B
Step-by-step explanation:
HELP NEEDED ASAP! I NEED HELP ASAP !! IF YOU ANSWER WITHOUT ACTUALLY ANSWERING AND ONLY FOR POINTS YOU WILL BE REPORTED!!
Answer:
They are congruent because they have all the same angles
Step-by-step explanation:
A car can drive 560 miles on 10 gallons of gas. How many gallons of gas does the car need to drive 1,260 miles?
Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.
Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.
Answer:
Step-by-step explanation:
2n+15>3
Answer:
2x + 15 > 3
IS THIS RHIGT?
eXPLANATION :
Twice a num = 2(x)
sum of it and 15 = 2x + 15
is greater than 3 = >3
so : 2x + 15 > 3