The answer is 22.62
Hope this helps :)
The length of the other leg is 5 cm.
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's denote the length of the other leg as ( x ) cm.
According to the Pythagorean theorem:
[tex]\[ \text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2 \][/tex]
Given that the hypotenuse ( c ) is 13 cm, and one leg ( a ) is 12 cm:
[tex]\[ 13^2 = 12^2 + x^2 \][/tex]
[tex]\[ 169 = 144 + x^2 \][/tex]
Now, subtract 144 from both sides:
[tex]\[ x^2 = 169 - 144 \][/tex]
[tex]\[ x^2 = 25 \][/tex]
Taking the square root of both sides:
[tex]\[ x = \sqrt{25} \][/tex]
[tex]\[ x = 5 \][/tex]
Therefore, the length of the other leg is 5 cm.
Jack invests $500 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. if he receives a total of $85 interest in 1 year, at what rate is the $500 invested?
Final answer:
The $500 was invested at an annual interest rate of 3%.
Explanation:
Let's assume the interest rate for the $500 investment is x %. Therefore, the interest rate for the $2000 investment would be (x + 0.5) %, since it is one-half percent higher.
The total interest received is $85. So, we can set up the equation:
$500(x/100) + $2000((x + 0.5)/100) = $85
Simplifying and solving the equation, we get:
5x + 20(x + 0.5) = 85
5x + 20x + 10 = 85
25x = 75
x = 3
The $500 was invested at an annual interest rate of 3%.
If a square has side length s, then the perimeter is less than the area.
s = 3
s = 5
s = 7
s = 9
If angles are supplementary, then one of the angles is an obtuse angle
a. True
b. False
Part A (4 points): Tonya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.
Frank’s bookshelf is 1 1/2 meters high. Each row in the bookshelf is 3/16 meters high. How many rows are there in Frank’s bookshelf?
will give brainliest to a reasonable answer :P
a)3
b)6
c)8
d)12
Answer:
8 rows
Step-by-step explanation:
A man has 20 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 425 cents, how many dimes and how many quarters does he have? your answer is
Solve the equation for t.
3t + 2 = 5(t – 2) – 2t + 8
Question 4 options:
Infinitely many solutions
x = 2
x = 3
No solution
It takes a groundskeeper 40 minutes to prepare a little league baseball field for a game. it takes his assistant 50 minutes to prepare the same field. how long will it take if they work together to prepare the field
If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that contains 3,000 raisins and bran flakes
Answer:
320?
Step-by-step explanation:
sorry if its wrong edg 2020
What is the repeating decimal 0.242424.... as a fraction in simplest form?
A repeating decimal is a decimal that has reoccurring numbers in a particular sequence.
The fraction in the simplest form is 8/33
The decimal is given as:
[tex]Decimal = 0.242424....[/tex]
The repeating numbers in the decimal are 2 and 4.
So, we express the number as follows (as a fraction)
[tex]Fraction = \frac{24}{100}[/tex]
Subtract 1 from the denominator
[tex]Fraction = \frac{24}{100 -1}[/tex]
[tex]Fraction = \frac{24}{99}[/tex]
Reduce the fraction by dividing the numerator and the denominator by 3
[tex]Fraction = \frac{24/3}{99/3}[/tex]
Simplify
[tex]Fraction = \frac{8}{33}[/tex]
Hence, the fraction is 8/33
Read more about repeating decimals at:
https://brainly.com/question/12453251
Which is equivalent to log2n=4 ?
Answer:
Option (B): Logn=4Log2
Step-by-step explanation:
Math.
solve the equation 12+ 0.35×=20.05
Now that you have selected the correct unit above, what is the value of x?
1.Solve for y.
(first picture
y =
2.What is the value of y?
(second picture
y =
Worth 99 points and brainliest if correct.
Option C is your answer
I believe that the question is asking which one is false (as all the other are true).
Angles 2 and 3 are not congruent, because they are next to each other (not vertical angles). Rather, they are supplementary angles, meaning they would add up to 180° in measurement.
hope this helps
write an algebraic expression for the word phrase 40% of x
The algebraic expression for the word phrase 40% of x is 0.40x.
Explanation:The algebraic expression for the word phrase 40% of x is 0.40x. To find 40% of x, you multiply x by 0.40. This means that 40% of x is equal to 0.40 times x.
Final answer:
To write an algebraic expression for the phrase '40% of x', multiply x by 0.40, resulting in the expression 0.40x.
Explanation:
The student is asking to write an algebraic expression for the phrase 40% of x. To convert this phrase into an algebraic expression, we take into account that "of" typically means multiplication in mathematics, and we know that 40% can be written as 0.40. Therefore, the algebraic expression for 40% of x is 0.40 * x or 0.40x.
How do you factor trinomials with a common monomial factor?
A square scarf is folded in half to form a rectangle. if the resulting rectangle has a perimeter of 15 inches, what are the area and perimeter of the square scarf?
Emelina wrote the equation of a line in point-slope form as shown below.
(y+4)=3(x+2)
What is Emelina’s equation in slope-intercept form?
y = 3x + 2
y = 3x +10
y = 3x – 4
y = 3x – 10
Answer: [tex]y=3x+2[/tex]
Step-by-step explanation:
Given: Emelina wrote the equation of a line in point-slope form as shown below.
[tex](y+4)=3(x+2)[/tex]
To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get
[tex]y+4=3x+6[/tex]
Now, subtract 4 from both sides , we get
[tex]y=3x+2[/tex]
Hence, Emelina’s equation in slope-intercept form : [tex]y=3x+2[/tex]
Answer: A. y = 3x + 2
Step-by-step explanation:Because it matches up the most to the problem. Its A. Have a great day and stay safe <3
Help!!!!!!!!!!!!!!!!!!!!!!!!!
james conducted an eperent with 4 possible outcomes he determine that the eperimental probability
The number of transistors per square inch on an integrated chip doubles every 18 months. this observation is known asâ ________ law.
A landscaper builds a square garden behind a house.if the outside border of the garden consist of 36 feet of bricks then what is the area of the garden in square feet?
How do I find the value of b
Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number
WILL GIVE BRAINLIEST-The number of pollinated flowers as a function of time in days can be represented by the function.
f(x)=(3)x/2
What is the average increase in the number of flowers pollinated per day between days 4 and 10?
Enter your answer in the box.
Final answer:
The average increase in the number of flowers pollinated per day between days 4 and 10 is calculated by finding the values of the function on days 4 and 10, subtracting these values, and dividing by the number of days between 4 and 10. The result is an average increase of 39 flowers per day.
Explanation:
Calculating the Average Increase in Pollinated Flowers
To find the average increase in the number of flowers pollinated per day, we need to evaluate the function f(x) = (3)x/2 at days 4 and 10 and then find the difference between these two values. First, let's calculate the number of flowers pollinated on day 4.
f(4) = (3)4/2 = (3)2 = 9
Now, let's calculate the number of flowers pollinated on day 10.
f(10) = (3)10/2 = (3)5 = 243
The difference between these two values is:
243 - 9 = 234
Lastly, to find the average increase per day between days 4 and 10, we will divide this difference by the number of days between 4 and 10, which is 6 days (10 - 4 = 6).
Average increase per day = 234 / 6 = 39
Therefore, the average increase in the number of flowers pollinated per day between days 4 and 10 is 39 flowers.
Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)
In how many ways can you order 3 red balls and 2 white balls taken from a bin of 5 blue, 7 red, 3 yellow, and 8 white? (balls with the same color are indistinguishable) (233,2)
Answer:
It is 8 since I got it right.
Quick Question. After dividing 30 by 2, do I multiply 15 by 3 or add 3 it to? (for question d) And thanks!
Answer:
6
Step-by-step explanation:
if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar
A. always
B. sometimes
c. never
Final answer:
The statement is B. sometimes true. Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. However, it is possible for two polygons to have equal angles and not be similar if their sides are not in proportion.
Explanation:
The statement that if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar is sometimes true.
Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. Therefore, if two angles of one polygon are equal to two angles of a second polygon, it is possible that the polygons are similar, but it is not always the case.
For example, consider two rectangles. Both rectangles have two pairs of equal angles, but they may not be similar if their sides are not in proportion.