Answer:
3/12 percent
Step-by-step explanation:
A 13 foot ladder is placed
5 feet away from a wall
How many feet up the wall
will the ladder reach?
Answer: 12 feet up
Step-by-step explanation:
This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs. Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)
[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]
N.B. There are some very useful sets of numbers that can help you with this unit.
They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles. The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))
Hope it helps :) and let me know if you want me to elaborate further.
how many feet in 13 miles, 176 yards?
The area of a rectangle is 50 ft, and the length of the rectangle is 5 ft less than three times the width. Find the dimensions of the rectangle.
Answer:
L - 10 . W - 5
Step-by-step explanation:
Length = 3*width - 5
area = length * width
50 = (3w-5)* w
50 = 3w^2-5w
0 = 3w^2 - 5w -50
0= (3w+10)(w-5)
w = 5 , w can't equal -10/3 because width can't be negative
width is 5
Length = 3 * 5 - 5
Length = 10 , width = 5
Answer:
first lets say w is the width
50(area)=w(idth)+3(w-5)
50=w+3w+15
50=4w+15
35=4w
8.75=w
w equals 8 3/4
Hope This Helps!!!
please help me with this sum I will mark you as brainest
Answer:
Step-by-step explanation:
3/6 x 8
= ( 3 x 8 ) / 6
= 24 / 6
4/7 x 2
= ( 4 x 2 ) / 7
= 8 / 7
9/2 x 3
= ( 9 x 3 ) / 2
= 27 / 2
8/5 x 7
= ( 8 x 7 ) / 5
= 56 / 5
3/9 x 5
= ( 3 x 5 ) / 9
= 15/9
7/4 x 4
= ( 7 x 4 ) / 4
= 28 / 4
6/2 x 6
= ( 6 x 6 ) / 2
= 36 / 2
8/3 x 9
= ( 8 x 9 ) / 3
= 72 / 3
9/4 x 8
= ( 9 x 8 ) / 4
= 72 / 4
5/3 x 6
= ( 5 x 6 ) / 3
= 30 / 3
2/7 x 3
= ( 2 x 3 ) / 7
= 6 / 7
8/4 x 7
= ( 8 x 7 ) / 4
= 72 / 4
6/4 x 2
= ( 6 x 2 ) / 4
= 12 / 4
Solve for x and y. (Geometry)
Step-by-step explanation:
All angles of the ∆ are same. So it's a equilateral ∆ . So all sides will also be equal .
16 + y = 46
y = 46 -16 = 30
And ,
60 + x + (180-80) = 180
-20 +x = 0
x = 0 +20
x = 20°
Which is a recursive formula for this geometric sequence? -320, -80, -20, -5, . . .
The recursive formula for the geometric sequence is:
[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the coefficient of consecutive terms is always the same, called common ratio q.The recursive equation for a geometric sequence is:
[tex]f(n) = qf(n - 1)[/tex]
With f(1) as the first term.In this problem, the sequence is: {-320, -80, -20, -5, . . .}
The first term is [tex]f(1) = -320[/tex].The common ratio is [tex]q = \frac{-80}{-320} = \frac{1}{4}[/tex]Hence, the recursive equation is:
[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]
You can learn more about geometric sequence at https://brainly.com/question/11847927
The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
Geometric progressionThe required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
n the following sequence -320, -80, -20, -5,...
The The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]is given as:
r = -80/-320 = -20/-80 = 1/4The first term = -320The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
Learn more on geometric functions here: https://brainly.com/question/222209
Solve this system of linear equations. Separate
the x- and y-values with a comma.
-20x = -16 - 9y
- 14x = -22 - 9y
Answer:
(x, y)
(-1, -4)
Step-by-step explanation:
[tex]-20x=-16-9y\\-14x=-22-9y[/tex]
Solve by elimination, subtract the 2nd row from the 1st row:
[tex](-20x-(-14x))=(-16-(-22))+(-9y-(-9y))\\(-20x+14x)=(-16+22)+(-9y+9y)\\-6x=6[/tex]
Solve for x in the equation above
[tex]-6x=6\\x=-1[/tex]
Now we have the value of X, substitute it into any of the 2 original equations:
[tex]-20x=-16-9y\\-20(-1)=-16-9y[/tex]
Solve for y:
[tex]-20(-1)=-16-9y\\20=-16-9y\\36=-9y\\-4=y\\y=-4[/tex]
Please mark brainliest if this answer helps you. I can provide more information if needed.
Does anyone know the answer.With explanation plz.
Answer: He sold 1,800 merchandise
Step-by-step explanation: 426 - 300 = 126 ÷0.07 = 1,800
I dont know if im right though
Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm
Miss Jurkovac went to Costa Rica for 6 days and saw 42 monkeys. If she saw 84 monkeys, how many days was she there?__________ days
Answer:
Step-by-step explanation:
6 times 2 is 12
42 multiplied by 2 is 84
therefore the answer is 12 days.
NEED HELP I DONT REMEBER DIS
Answer:
a. ΔMNK =Δ [tex]PRT[/tex]
b. TR=MN
c. [tex]x=7[/tex]
Step-by-step explanation:
I hope this help you
Evaluate the expression -2
Answer: 2x for x=3: 2(3) = 6.
Step-by-step explanation:
thanks in advance ill mark brainliest
Answer:
100º
Step-by-step explanation:
Cooresponding angles are congruent
11x + 1 = 10x + 10
Subtract 10x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
θ = 11x + 1
θ = 11(9) + 1
θ = 99 + 1
θ = 100º
Helps plz and no links
Answer:
1+2+3- -9+236359
Step-by-step explanation:
Answer:
y=-4x-7
Step-by-step explanation:
if you use the slope formula, y2-y1 over x2-x1 using any two points from the grid, you get a slope of -4.
if you use the slope intercept form, y=mx+b, and plug in y, m the slope, and x, you get -3=-4(-1)+b
if you solve that, you get -3=4+b
and if you isolate 4 by subtracing 4 from both sides, b=-7.
then you plug slope and y intercept into formula, and get y=-4x+b
What is the solution to the system of equations? y=−2x−64x−y=−36 (−15, 24) (−7, 8) (−5, 4) I don't know.
Answer:
Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).
A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]
Given the following system of equations:
[tex]y=-2x-64[/tex] ...equation 1.
[tex]x-y=-36[/tex] ...equation 2.
To find a solution to the given system of equations, we would use the substitution method:
First of all, we would make x the subject of formula in equation 2.
[tex]x=-36+y[/tex] ...equation 3.
Substituting eqn. 3 into eqn. 1, we have:
[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]
For the value of x:
[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]
Read more: https://brainly.com/question/14413983
Question Number 12, i need help!! It’s geometry.
Evaluate.
2 1/4 + 2/5 / (-1/2)-1/4
Enter your answer as a mixed number in simplest form in the box.
Answer:
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
2 1/4 + 2/5 / (-1/2)-1/4
order of operation states you do division before subtraction or addition
2 1/4 -4/5 -1/4....divide 2/5 by -1/2
2 - 4/5.................combine like terms
6/5........................subtract
1 1/5.......................simplify
please help me with this sum I will mark you as brainest
Answer:
6/8 × 6 = 9/22/5 × 4 = 8/59/3 × 9 = 277/4 × 8 = 148/6 × 2 = 8/34/9 × 7 = 28/93/8 × 3 = 9/87/2 × 4 = 146/3 × 6 = 12 8/9 × 3 = 8/3Hope It's Help
What is -3/2 as a decimal
Answer:
-1.5
Step-by-step explanation:
To convert a fraction to a decimal number divide the numerator (-3) by denominator (2)
Answer:
-1.5
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
Answer:
y = x + 4
Step-by-step explanation:
From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).
slope = m = rise/run = 1/1 = 1
The y-intercept is b = 4
y = mx + b
y = x + 4
Please Help me Solve this question
Answer:
Step-by-step explanation:
Correct Answer: C
We can rely on the guess and check method to easily solve this problem. Let’s first pick arbitrary values of x and y to eliminate some answer choices.
Let’s consider the case where |x| and let x = 3 and y = -10.
Because x/y = -3/10 < 1, answer choice A is incorrect.
Because |x|2 = (3)2 = 9 and |-10| = 10, we have that |x|2 < y, so answer choice B is also incorrect.
Because x2 + 1= (3)2 + 1 = 10 and y2 + 1 = (10)2 + 1 = 101, we have that x2 + 1 < y2 + 1, so answer choice D is also incorrect.
Now, let’s consider the case where |x|>|y| and let x = 3 and y = -2.
Then, x-2 = 1/x2 = 1/9 and y-2 = 1/y2 = 1/4. This means that x-2 < y-2 , so answer choice E is also incorrect.
This means that answer choice C is correct. We can manipulate the inequality to see why this is true: (x/3 – 5) > (y/3 – 5)
We add 5 to both sides: x/3 > y/3
We multiply both sides by 3: x > y.
We know this is true since we are given that x > 1 > -1 > y, which simplifies to x > y.
Jorge wants to find the height of the house, help him find it.
Answer:
:)
Step-by-step explanation:
:)
Solve the system of linear equations using any method you choose:
-6x + 3y = 18
10x - y = 4
9514 1404 393
Answer:
(x, y) = (1.25, 8.5)
Step-by-step explanation:
I choose to put these equations into reduced general form, then use the "cross multiplication method" to solve.
2x -y +6 = 0
10x -y -4 = 0
d1 = 2(-1) -10(-1) = 8
d2 = -1(-4) -(-1)(6) = 10
d3 = 6(10) -(-4)(2) = 68
Solutions are ...
x = d2/d1 = 10/8 = 1.25
y = d3/d1 = 68/8 = 8.5
The solution is (x, y) = (1.25, 8.5).
_____
Additional comment
I like a graphing calculator for a quick and easy solution. When the values are not integers, I like an algebraic solution to see what the exact values are.
__
The "cross multiplication method" is similar to Cramer's rule in that determinants of pairs of coefficients are computed. If you look up this method, videos will show you a variation that is slightly different. Here, we determined d1, d2, and d3 as the 2×2 determinant of the coefficients in adjacent columns of the array you get from the general form equations with the first column repeated:
[tex]\begin{array}{cccc}2&-1&6&2\\10&-1&-4&10\end{array}[/tex]
In each pair, the determinant is the difference between the product of numbers on the down-diagonal and the product of numbers on the up-diagonal.
The determinants relate to the x- and y-values by ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
There is a Vedic solution method for linear equations that is similar to this, but starts from equations in standard form. As a consequence, the cross-differences are done in a different order.
__
Standard form: ax +by = c
General form: ax +by +c = 0
A line that passes through (3, 1) and (0, -3)
Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)
Answer:
Ms. April will not have enough students.
Step-by-step explanation:
This is because 180 days of the year divided by 3 students per day = 60 students per year. The class only has 20 students, therefore, there is not enough students needed to collect milk.
Answer:
Ms. April will not have enough students.
Step-by-step explanation:
This is because 180 days of the year divided by 3 students per day = 60 students per year. The class only has 20 students, therefore, there is not enough students needed to collect milk.
Mary is doing research on bird migration. Last week she counted 12 migration birds in her yard. This week she counted 10. What was the percent decrease in birds this week?
7÷5=2. Prove It
Based on Critical Thinking and Reasoning. Not normal mathematics.
The total age of a cat, dog, monkey is 4 year 2 month. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?
28 years
Step-by-step explanation:
Co-relating their ages:Let's say, the cat is x years old.The dog is twice as old as the cat
That makes the dog 2x years old.The monkey is twice as old as the dog.
That is, 2 × (2x) = 4x years old- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Calculating the total:Their total age is 4 years 2 months.
1 year has 12 months
=> 4 years have (4 × 12)
= 48 months
Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".
= 50 months
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solving for x:Sum of their ages = 50 months
=> x + 2x + 4x = 50
=> 7x = 50
=>x = 50/ 7 months
If we write this in mixed fractions the whole number will represent the number of years.
=
[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]
[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]
The value of 1/ 7 is really small,I.e., 0.1428...
So, we can ignore the fraction while rounding off the term that makes it
[tex] \mathsf{x = 7yrs.(approx.)}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Recall:x is the age of the cat.
The monkey's age is "4x"
= 4 × 7
= 28 years.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:So, the monkey's age is approximately 28 years
What is the average rate of change between: x = 1 and x = 2? x = 2 and x = 3? x = 3 and x = 4? x y 1 2 3 4 5 4 8 12
Answer:
The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.
Step-by-step explanation:
whay are the fourth and fifth number on the sequence 1,4,27.?..,..?..46656
Answer:
256, 3125
Step-by-step explanation:
This may be the sequence n^n: 1^1, 2^2, 3^3, 4^4, 5^5, 6^6, ...
Let's check with the numbers we see:
1^1 = 1
2^2 = 4
3^3 = 27
6^6 = 46656
Yes, this is the sequence n^n.
The 4th term is:
4^4 = 256
The 5th term is:
5^5 = 3125