Answer:
√2 unitsStep-by-step explanation:
It should be diagonal not diameter.
The diagonal of the square is √2 time the side.
The side given 1 unit, then the diagonal is x = √2 units
9514 1404 393
Answer:
x = √2
Step-by-step explanation:
Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...
c² = a² + b²
The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...
x² = 1² + 1²
x² = 2
x = √2 . . . . . . the length of the diagonal (diameter)
_____
Additional comment
The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...
side : side : hypotenuse = 1 : 1 : √2
(You will see this again.)
Evalute 4+(7-5)⁴?
PLEASE HELP
Answer:
The answer is 20
Step-by-step explanation:
(7-5)=2
2^4 = 16
16 + 4 = 20
Charlotte used a calculator to subtract.
She copied her answers from the display, but her teacher said her answers were wrong! Tell how Charlotte got each wrong answer.
1. 204.59 – 23.67 = 0.92
2. 936.4 – 15.85 = 77.79
3. 56.3 – 27.04 = 19.26
Answer:
Step-by-step explanation:
1. She omitted the 0 from the minuend, entering 24.59 instead of 204.59
2. She misplaced the decimal point of the minuend, entering 93.64 instead of 936.4
3. She typed 4 instead of 5 in the minuend, entering 46.3 instead of 56.3
Determine the missing card value that will result in a product of -324.
-6 3 -9
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-324 ÷ -6 ÷ 3 ÷ -9 = 162
-324 ÷ 162 = -2
-3/4 × = 1/4 need Help to answer this question
Answer:
x = -1/3
Step-by-step explanation:
step one - Simply both sides of the equation
step two - Multiply both side by 4/(-3)
A credit card company wanted to estimate the proportion of its customers who pay their credit card minimum balance on time. The company sampled 500 records and constructed a confidence interval for the true proportion of customers who pay their credit card minimum balance on time. The resulting 95 percent confidence interval was (0.765, 0.835). Which of the following is a true statement regarding the value of the point estimate and margin of error of the percentage of customers who pay their credit card minimum balance on time?
a. The point estimate is 0.765 and the margin of error is 0.07.
b. The point estimate is 0.765 and the margin of error is 0.835.
c. The point estimate is 0.80 and the margin of error is 0.035.
d. The point estimate is 0.80 and the margin of error is 0.07.
e. The point estimate could be any number within the interval and the margin of error is 0.035.
Answer: c. The point estimate is 0.80 and the margin of error is 0.035.
Step-by-step explanation:
Given: The 95 percent confidence interval was (0.765, 0.835).
Confidence interval = Point estimate ± Margin of error.
I.e. Point estimate + Margin of error = 0.835 (i)
Point estimate - Margin of error = 0.765 (ii)
Add (i) and (ii), we get
2 (Point estimate)= 1.60
⇒ Point estimate = 0.80
Put this in (i), we get
0.80+Margin of error = 0.835
⇒ Margin of error = 0.835 -0.80
⇒ Margin of error = 0.035
Hence, the correct statement is:
c. The point estimate is 0.80 and the margin of error is 0.035.
f(x)=2x^2-5 g(x)=5x+7
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Daniel has a total collection of 200 marbles. 10% of them are red. How many are red marbles in his collection? What is missing in the problem?
Answer:
40(i think)
Step-by-step explanation:
consider the two functions. which statement is true?
Answer:
The right answer is D
Step-by-step explanation:
The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].
A penguin walks 10 feet in 6 seconds. At this speed:
1. How far does the penguin walk in 45 seconds?
2. How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.
Answer:
1. 75 feet
2. 27 seconds
Step-by-step explanation:
1. If six seconds is equal to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)
2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to 3 seconds then we get 24 + 3 = 27
7 19/22-1 8/11 how do you subtract fractions?
HELP Which of the following is NOT a property of a magnet, exerts magnetic force, has magnetic poles, some magnets have two north poles, has a magnetic field
Answer:
Some magnets have two north poles
One number is 24 more than the other. What are the numbers if their sum is 84
Answer:
The required numbers are 30 and 54.
Step-by-step explanation:
Let 'x' be the smaller numberLet 'y' be the larger numberGiven that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
so we have two equations
[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]
subtracting the equartions
[tex]y+x=84[/tex]
[tex]-[/tex]
[tex]\underline{y-x=24}[/tex]
[tex]2x=60[/tex]
now solve 2x = 60 for x
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
For y - x = 24 plug in x = 30
[tex]y-30=24[/tex]
Add 30 to both sides
[tex]y-30+30=24+30[/tex]
Simplify
[tex]y=54[/tex]
Thus, the required numbers are 30 and 54.
Verification:
Given that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
substitute x = 30
y = 30 + 24
y = 54
Thus, y is 24 more than x.
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
sustitute x = 30 and y = 54
30 + 54 = 84
84 = 84
L.H.S = R.H.S
Thus, the sum of the numbers is indeed 84.
Geometry question plz someone help me
HELP ME!!!!!!!!!!!!!!
Answer:
i wanna say it would be 1,735-3%y
someone pls answer this-
what is the equation for line b
Answer:
y=1/2x+1
Step-by-step explanation:
you can literally do rise over run to get the answer
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
An equation is ____=540
The solution is x=____
in figure
85+5n+5n+5n+5f+5n-10=540
20n+80=540
20n= 460
x=23
the diffrence between two positive numbers is 7 and the square of thier sum is 289
Answer:
One of the Numbers is -151 and the other is -144
Step-by-step explanation:
Set up the equations then solve
3x -5x + 8x = 4x + 18
Answer:
x = 9
Step-by-step explanation:
6x = 4x + 18
6x - 4x = 18
2x = 18
x = 9
Answer:
-9
Step-by-step explanation:
3x−5x+8x=4x+18
Step 1: Simplify both sides of the equation.
3x−5x+8x=4x+18
3x+−5x+8x=4x+18
(3x+−5x+8x)=4x+18(Combine Like Terms)
6x=4x+18
6x=4x+18
Step 2: Subtract 4x from both sides.
6x−4x=4x+18−4x
2x=18
Step 3: Divide both sides by 2.
2x
2
=
18
2
NOLUR DOGRU CEVAP VE ANLATIMLI OLSUN doğrusu na 30 puan
Answer:
Step-by-step explanation:
A'nın dört olası değeri vardır: 16, 17, 18, 19
Answer:
Step-by-step explanation:
cevap d şıkkı yani 6
Which angle is an alternate interior angle to 8?
Answer:
<5
Step-by-step explanation:
Interior angle Kasi eh hihi
What is 1/7 of 28% of 8,000
Answer:
320
Step-by-step explanation:
A=1/7 * .28 *8000 = 320
Answer: 320
Step-by-step explanation: 1/7*28 of 8000
What is the solution to x+4y=-1 and 2x + 5y=10??????
What is the opposite of 56?What is the value of –(-4)?
Answer:
-56;+4
Step-by-step explanation:
56 oopposite is -56
-(-4)=+4
pleaseee helppppppppp
Answer:
y is just being multiplyed by -4 :)
Step-by-step explanation:
in other words -4x
Answer:
y = -4x
Step-by-step explanation:
49/70 in its simplest form
Answer:
7/10
Step-by-step explanation:
Brainliest?!?!?!?!
Answer: 7/10
Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!
Emxpress the fractions 3/4, 7/16, and 5/8 with the LCD
Answer: The fractions 3/4, 7/16, and 5/8 with the LCD is 12/16, 7/16, 10/16.
Step-by-step explanation:
enter a negative number that is greater than -10.
btw this is iready
Answer:
5 6 7 8 9 10 All the positive number are grater than -10 but if it askes for negative you would you -5 -6 -7 -8 -9
Step-by-step explanation:
With all numbers, whether they are negative, zero or positive: A number is greater than another when it is to the right on the number line. Conversely a number is less than another when it is to the left on the number line.
Step-by-step explanation:
Determine the missing card value that will result in a product of -324
-6 3 -9
Answer:
-2
Step-by-step explanation:
-324 ÷ -6 ÷ 3 ÷ -9 = 162
-324 ÷ 162 = -2
The length of a rectangle is 4 inches longer than it is wide. If the perimeter is 52 inches, what are the
dimensions of the rectangle?
Answer:
L = 15
W = 11
Step-by-step explanation:
P = 2L + 2W
2L + 2W = 52 Divide each term by 2
2L/2 + 2W/2 = 52/2
L + W = 26 Substitute the value for L
W + 4 + W = 26
2W + 4 = 26
2W = 26 - 4 Subtract 4 from both sides
2W = 22 Divide by 2
W = 22 /2
W = 11
L = W + 4
L = 11 + 4
L = 15