To find the side of a square with a given diagonal length, apply the Pythagorean theorem. With a diagonal of 8 miles, the side length is calculated to be 4√2 miles.
Explanation:To find the side of a square whose diagonal is given, we can use the Pythagorean theorem. In a square, the diagonal creates two right-angled triangles, each with the square's sides as the legs.
Let the side of the square be s, and the given diagonal is 8 miles. According to the Pythagorean theorem, the diagonal (d) is calculated as d = √(s² + s²). Simplifying, this becomes d = √(2 * s²) or s = d / √2. Substituting the value of the diagonal, we get s = 8 / √2. To get rid of the radical in the denominator, we can multiply both the numerator and denominator by √2, giving us s = (8√2) / 2, which simplifies to s = 4√2 miles. Therefore, the side of the square is 4√2 miles.
Solve the equation. Round the result to the nearest hundredth.
14.1 - 0.3x = 1.3x - 4.2
Need help
Answer:
X is the answer.
Step-by-step explanation:
Choose the formula for the volume of a cone V=1/3
I need number 28 please
am-n=p (solve for a)
The value of a = (p + n) / m.
To isolate a in the given equation am - n = p, follow these steps:
Start with the original equation: am - n = p.
Add n to both sides of the equation to eliminate n from the left-hand side:
am - n + n = p + n
am = p + n.
Next, divide both sides of the equation by m to solve for a:
(am) / m = (p + n) / m
a = (p + n) / m
Therefore, a = (p + n) / m is the solution to the equation.
The sum of two numbers is 54 and the difference is 12 . what are the numbers?
What is 1075 factorial?
Find the vertex of the parabola f(x)=x2-6x+13
What is the slope of the line passing through the points (1, −5) and (4, 1)? −45 54 2 −2
Answer:
Slope of the line passing through the points (1, −5) and (4, 1) is 2 .
Step-by-step explanation:
The equation of the slope is given by
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
As given
line passing through the points (1, −5) and (4, 1) .
[tex]m = \frac{1-(-5)}{4-1}[/tex]
[tex]m = \frac{1+5}{4-1}[/tex]
[tex]m = \frac{6}{3}[/tex]
m = 2
Therefore the slope of the line passing through the points (1, −5) and (4, 1) is 2 .
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
A.) –7
B.) –1
C.) 1
D.) 7
Problem page nicole purchased a prepaid phone card for $30 . long distance calls cost 24 cents a minute using this card. nicole used her card only once to make a long distance call. if the remaining credit on her card is $18.24 , how many minutes did her call last?
For any approximately normal distribution, how can we find the relative frequency of the scores?
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 52.
Plzz help me with this one i dont know what to do on this one
5x- 3(x-2)
What is the standard form of this number 15,000+7000+400+9
Find p(x = 4) if x has a poisson distribution such that 3p(x = 1) = p(x = 2).
The formula for Poisson distribution is:
P (x) = e^-k * k^x / x!
We know that:
3P(x = 1) = P(x = 2)
Therefore:
3 [e^-k * k^1 / 1!] = e^-k * k^2 / 2!
Simplifying by cancelling similar terms:
3 / 1! = k / 2!
k = 3 * 2! / 1!
k = 6
So at x = 4:
P (x = 4) = e^-6 * 6^4 / 4!
P (x = 4) = 0.1339 or 13.39%
could 4.1 cm 8.4 cm and 1.3 cm be the side lengths of a triangle?
Why does a horizontal line have a slope of zero, but a vertical line have an undefined slope?
PLEASE HELP!!!! 25-30 points! : )
#1 Solve the proportion.
13-b / 6 = 2-0.5b / 4
A. 72
B. 32
C. 40
D. 64
Please exlpain your answer! :)
#2 Solve the proportion.
x-9 / 3 = 5 / 13
A. 84/5
B. 15/13
C. 132/13
D. 24/13
Please explain your answer! :)
#3 Solve the proportion.
w+14 / 4w+6 = 3/4
A. 19/4
B. 15/28
C. 2/7
D. 8/19
Please explain your answer! :)
#4 Solve the proportion.
x-8 / 5 = 2/4
A. 5/2
B. 9/2
C. 18
D. 21/2
Please explain your answer! :)
The ninth grade class at a local high school needs to purchase a park permit for $250.00 for their upcoming class picnic. Each ninth grader attending the picnic pays $0.75. Each guest pays $1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, , needed to cover the cost of the permit?
How many square units are in an office that is 13 units by 9 units? 22 117 121 130?
By using the formula for the area of a rectangle, we will see that there are 117 square units on the office.
How many square units are in the office?We know that for a rectangle of width W and length L, the area is given by:
A = W*L
In this case, we have a rectangle of width of 13 units, and length of 9 units, replacing that in the area equation:
A = (13 units)*(9 units) = 117 square units.
So the correct option is the second one, there are 117 square units in the office.
If you want to learn more about area:
https://brainly.com/question/24487155
#SPJ5
How many seconds are in a stopwatch showing 4 hours 3 minutes and 10 seconds?
if there is a vertical line that intersects the graph of a relation in more than one point then the relation is a function true or false
A fire truck has a long ladder that is made of 3 sections. Each section is 43/4 meters long.
How long is the ladder when all 3 sections are extended to make one long ladder
How Can I find ef? Do I multiply add or diving
A Blackjack hand is often dealt with one card face up and one card face down. What is the probability that the sum of your two cards will be exactly 21 if the face up card is an Ace? (Assume no other cards have been dealt so far.)
BRAINLIESTTTT!!!
1. The price of silver has increased by 15% per year from 2000. In the year 2000, Harry bought a silver bowl for $190. Which of the following functions f(x) can be used to represent the price of the bowl x years after 2000?
f(x) = 190(0.85)^x
f(x) = 190(1.15)^x
f(x) = 15(190)^x
f(x) = 15(0.85)^x
2. Which of the following is equal to the square root of the cube root of 2?
2 to the power of 2 over 3
2 to the power of 3 over 2
2 to the power of 1 over 3
2 to the power of 1 over 6
Answer:
Question 1 is B and Question 2 is D
∆ABC and ∆FDE are congruent by the
criterion. (Use the three-letter abbreviation without spaces.)
The value of x is
, and the value of y is
.
The values of x and y are 4.29 and 90.
Given that ∆ABC and ∆FDE are congruent by a certain criterion, let's denote the corresponding sides as follows:
AB = FD (corresponding side)
BC = DE (corresponding side)
AC = FE (corresponding side)
Let's also denote the angles of ∆ABC and ∆FDE as follows:
∠A = ∠F (corresponding angle)
∠B = ∠D (corresponding angle)
∠C = ∠E (corresponding angle)
Now, if we're given specific values for some sides or angles, we can use that information to find the missing values.
Let's assume we're given that AB = 5 cm, BC = 7 cm, AC = 6 cm, ∠A = 40°, and ∠B = 50°.
First, let's find the missing side FD using the side-length proportion:
[tex]\[ \frac{AB}{FD} = \frac{BC}{DE} = \frac{AC}{FE} \][/tex]
Substitute the given values:
[tex]\[ \frac{5}{FD} = \frac{7}{DE} = \frac{6}{FE} \][/tex]
We can solve for FD by setting up the proportion:
[tex]\[ \frac{5}{FD} = \frac{7}{6} \][/tex]
Cross-multiply to solve for FD:
[tex]\[ 5 \cdot 6 = FD \cdot 7 \][/tex]
[tex]\[ 30 = 7FD \][/tex]
[tex]\[ FD = \frac{30}{7} \][/tex]
[tex]\[ FD \approx 4.29 \text{ cm} \][/tex]
Next, we can find the missing angle measures. Since ∠A = ∠F = 40° and ∠B = ∠D = 50°, we can find ∠C = ∠E using the fact that the sum of angles in a triangle is 180°:
[tex]\[ ∠C = 180° - ∠A - ∠B \][/tex]
[tex]\[ ∠C = 180° - 40° - 50° \][/tex]
[tex]\[ ∠C = 90° \][/tex]
So, we have found that FD ≈ 4.29 cm and ∠C = 90°. Thus, the values of x and y are 4.29 and 90, respectively.
Complete question
∆ABC and ∆FDE are congruent by the
criterion. (Use the three-letter abbreviation without spaces.)
The value of x is
, and the value of y is
.
A plane is a ___ (one-dimensional, two-dimensional, three-dimensional) figures. The intersection of two olanes that do not coincide (if it exists) is a ___ (point, line, angle).
How many different 9 letter words can be formed from the letters in the word statistics?
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2)
-7/6
7/6
undefined
Answer:
-7/6
Step-by-step explanation:
-2-5/3+3= -7/6