Answers
Answer:
L = 5[tex]\sqrt{10}[/tex]
Step-by-step explanation:
use Pythagorean Theorem:
L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²
L² + 25(2) = 100(3)
L² + 50 = 300
L² = 250
L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]
Answer:
by Pythagoras law
(10√3)²=l²+(5√2)²
100×3-25×2=l²
l²=25o
l=√250=5√10
:.l=5√10
Related Questions
A hot air balloon is at an altitude of
100 1/5 yards. The balloon's altitude decreases
by 10 4/5 yards every minute. Determine the
number of minutes it will take the balloon to reach an altitude of 57 yards.
Answers
Answer:
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Step-by-step explanation:
Initial altitude:
100 1/5 yards = 100 + 0.2 = 100.2 yards.
Decrease per minute:
10 4/5 yards = 10 + 0.8 = 10.8 yards.
So, after t minutes, the height of the ballon is given by:
[tex]h(t) = 100.2 - 10.8t[/tex]
Number of minutes it will take the balloon to reach an altitude of 57 yards.
This is t for which [tex]h(t) = 57[/tex]. So
[tex]h(t) = 100.2 - 10.8t[/tex]
[tex]57 = 100.2 - 10.8t[/tex]
[tex]10.8t = 43.2[/tex]
[tex]t = \frac{43.2}{10.8}[/tex]
[tex]t = 4[/tex]
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
8x+5x^3-5 write polynomial in standard form, Then name the polynomial based on the degree and number of terms
Answers
Answer:
wag na baka imyday mo pa
Step-by-step explanation:
hahahahahahahahahahahahahahahahahaahhaahahahahahhahahahahahahahahahahahahahahahahahahahahahahahahhahahahah ahahahahahahaha ahahahahahahaha ahahahahahahaha hahahahahah ahahahahahahaha
pls solve ii need it
Answers
Answer:
multiply each decimal
Step-by-step explanation:
Answer:
1.144
Step-by-step explanation:
multiply 1.1x0.8x1.3
Put the equation into this form
Answers
Answer:
y=x(x-2)-8
Step-by-step explanation:
hope this helps :)
New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?
Answers
Answer:
10:55
Step-by-step explanation:
15:55 - 5 = 10:55
John and Adam are selling candy. John sells 6 pieces of candy for $10. Adam sells 13 pieces of candy for $20. Whose candy costs less?
Answers
because for John if you add 6+6 = 12 for 20 dollars where Adam has 13 for 20
Answer:
John sells candy at the lowest price.
Step-by-step explanation:
If John sells 6 candies at 10$, then that's what's called a ratio between the price and the candy. We can double the amount of candy and the price to $20 for each 12 candies, $30 for 24, $40 for 36, etc. But it would still maintain the ratio of 6 candies for each 10$. Adam however, sells candy at 13 pieces for $20. We can divide the ratio down to 6.5 candies for 10$. But since we "can't" split a candy in half, we'll round it to 7 pieces for 10$, which costs more than 6 for 10$: Therefore, John sells candy at the lower price.
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?
Answers
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2
Convert the equation to vertex form.
y = x2 – 8x + 10
Answers
Answer:
Step-by-step explanation:
y = (x² - 8x) + 10
Complete the square
coefficient of the x term: -8
divide it in half: -4
square it: (-4)² = 4²
use 4² to complete the square and keep the equation balanced:
y = (x²-8x + 4²) - 4² + 10
y = (x-4)² - 6
Answer:
y = (x - 4)² - 6
Step-by-step explanation:
use the 'completing the square' method:
x² - 8x + 10 = 0
x² - 8x + 16 = -10 + 16
(x - 4)² = 6
y = (x - 4)² - 6
What is the product?
(X^4)(3x-2)(4x2 +5x)?
Answers
Answer:
12x^7+7x^6-10x^5
Step-by-step explanation:
(X^4)(12x³+15x²-8x²-10x)
(X^4)(12x³+7x²-10x)
12x^7+7x^6-10x^5
Suppose that You had launch the message 6.75 feet west from the edge of the ravine Instead of 5 feet west from the edge of the ravine would the message make it across the ravine show your work and explain your answer
Answers
Answer:
6.75 times 5 would be 17.1
Step-by-step explanation:
How many terms are in the expression
3x + 2y + Z
4
2
3
5
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Terms are chunks of number separated by signs, so basically how many numbers are separated by sign? The answer is 3
1. 3x
2. 2y
3. Z
Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket without replacing them.
Which of the following outcomes could represent the tennis balls Tony selected?
(A) All of the tennis balls are blue.
(B) There is 1 tennis ball of each color.
(C) There are exactly 3 green tennis balls.
(D) There are more red tennis balls removed than other colors.
(E) The number of red tennis balls is the same as the number of blue tennis balls.
Answers
Answer:
b
Step-by-step explanation:
ILL MARK AS BRAINLEST
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x?
A.
2(x + 3) = 25
B.
2(3) + 25 = x
C.
2x + 3 = 25
D.
x + 2(3) = 25
Answers
Answer:
im pretty sure the answer is c
Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)
Answers
Answer: 1 hour 38 minutes
Step-by-step explanation:
From 11:51 AM to 12:00 PM (noon)
9 minutes
from 12:00 PM to 1:00 PM
1 hour
1:00 PM to 1:29 PM
29 minutes
______________________________
9 minutes + 1 hour + 29 minutes
1 hour 38 minutes
Maria found a circular rug for her floor. The rug has a circumference of 50.24 inches. Which formula should Maria use to help her find the diameter of the rug?
Answers
Answer:
She should use the formula [tex]C = \pi d[/tex] to find a diameter of 16 inches.
Step-by-step explanation:
The circunference of a circle is given by:
[tex]C = 2\pi r[/tex]
In which r is the radius, which is half the diameter. So, it can also be given by the following formula:
[tex]C = 2\pi \frac{d}{2} = \pi d[/tex]
In which d is the diameter.
Which formula should Maria use to help her find the diameter of the rug?
She should use this formula:
[tex]C = \pi d[/tex]
Since the circunference is 50.24 inches, the diameter will be of:
[tex]d = \frac{C}{\pi} = \frac{50.24}{\pi} = 16[/tex]
Cam walked 4 units down and 8 units left to reach the origin. What is the ordered pair of his starting point?
Answers
(3.5 x 10^5) : (7x10^8)
What is the answer to this question?
: is divide
Answers
Answer:
5 • 10^-4 I evaluate this by using scientific notation.
The value of the ratio (3.5 x 10⁵) : (7x10⁸) is 0.0005.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.
Dividing the numerical coefficients 3.5 and 7, we get:
3.5 ÷ 7 = 0.5
Dividing the exponents 5 and 8, we get:
10⁵ ÷ 10⁸ = 10⁵⁻⁸
= 10⁻³
Therefore, the simplified expression is:
0.5 x 10⁻³
We can further simplify this expression by converting 10⁻³ to a decimal:
10⁻³ = 1/1000 = 0.001
So, the final answer is:
(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³
= 0.5 x 0.001
= 0.0005
To know more about Expressions check:
brainly.com/question/16804733
#SPJ2
2ײ+5y-18 if x is 5 and y is 2
Answers
the answer is 659 because if x = 5 that means 25x25 = 625
and if y = 2 then 625 + 52 = 677
and then 677-18 = 659
Problem solved
The number of goats in a farm increases by 5 goats each year. If the farm has a population of 20 goats after the first year, and n denotes the number of years, which recursive equation gives the population of goats, , as a function of the year?
Answers
Answer:
f ( 1 )= 20; f ( n )= f (n - 1) + 5, for n > 2
(the > has a line under it)
Step-by-step explanation:
Answer:
f (1) = 20; f (n) = 2 · f (n - 1) - 0.3 · f (n - 1) + 5, for n ≥ 2
Step-by-step explanation:
The other person left some numbers out.
Solve the inequality.
-3.25y <-61.75
Answers
Step-by-step explanation:
-3.25y < -61.75
-3.25y < -61.75
-3.25. -3.25
whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.
y > 19 , S.S= [ 20,21,22,23.....]
A rectangular prism has a base that is 1.5 meters by 2 meters, and the prism is 4 meters
high. What is the surface area of the prism?
A 28 m
C 12 m2
B 34 m2
D 31 m²
Answers
Answer:
The answer is C. 12 m2
Step-by-step explanation:
Hope this helps!! :) :) Please mark brainlliest.
Which sets of side lengths could form a triangle?
A. 3 centimeters, 4 centimeters, 9 centimeters
B. 3 centimeters, 6 centimeters, 9 centimeters
C. 4 centimeters, 5 centimeters, 9 centimeters
D. 4 centimeters, 6 centimeters, 9 centimeters
Answers
Answer:
D. 4 centimeters, 6 centimeters, 9 centimeters
Step-by-step explanation:
Considering side length for forming a triangle, most of the time it is about Triangle Inequality Theorem, which for 3 sides length a,b,c, it must satisfy the following set of inequalities:
[tex]a+b>c\\a+c>b\\b+c>a[/tex]
By checking each of them only D satisfy:
[tex]4+6=10>9\\6+9=15>4\\9+4=13>6[/tex]
For simplicity you only have to check if the two shortest sides add up to be larger than the longest side:
[tex]4+6>9[/tex]
PLZ HELP PLZ HELP
SELECT ALL MEASURMENTS THAT ARE ABOUT 1 YARD LONG
Length of student desk
Height of classrom'
Width of classroom door
Height of building
Length of a movie ticket
Answers
Answer:
c
Step-by-step explanation:
Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the interest earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.
A. $74,349.96
B. $14,349.96
C. $77,349.96
D. $17,349.96
Answers
Answer:
c
Step-by-step explanation:
you would do
m = money overall
(m*1.08) +3000= you would do that twelve times
you can perform 10 push ups in 25 seconds. write an equation that represents the relationship between time x and the number of pushups y.
Answers
The number of push-ups will be zero for zero seconds. Then the equation will be y = 0.4x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You can perform 10 push-ups in 25 seconds.
Then the equation represents the relationship between time x and the number of pushups y will be
The number of push-ups will be zero for zero seconds.
Then we have
y - 0 = [10/25] (x - 0)
y = 0.4x
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
2. Find the area of a circle with a radius of 5 meters. A circle with a radius of 5 meters has an area of
Answers
Answer:
A=πr2=π·52≈78.53982m²
Step-by-step explanation:
Answer:
78.57 m^2
Step-by-step explanation:
answer is 78.57
Write the equation in standard form using integers.
Answers
Answer:
it would be:
3x-4y=-8
Step-by-step explanation:
Determine the graph that represents a function.
Answers
A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.
Answers
Answer:
The answer is "0.30%"
Step-by-step explanation:
To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.
There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.
The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.
[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]
[tex]\to 0.00309597523 \approx 0.30 \%[/tex]
-4-2-2) - 2x + 5 = 31
Answers
Answer:
2x+5=31 is the most common correct answer