Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
Use the Distributive Property to rewrite each expression. Then evaluate.
9(7 + 8)
What is 256 square root??
Answer:
16
Step-by-step explanation:
[tex]\sqrt{256} \\=\sqrt{16 * 16} \\=16[/tex]
Answer: 16
Step-by-step explanation: √
256=16
at least that's the positive square root
−16
is also a square root of 256.
16²=(−16)2=256
By definition, the principal square root of a number is the positive square root. The term "the square root" is commonly used to refer to the principal (positive) root though there are usually two roots.
Are these ratios equivalent?
10 friends to 12 strangers
30 friends to 36 stranger
Answer:
Yes
Step-by-step explanation:
10:12 and 30:36
you can simplify them first so
10:12=5:6
and
30:36=5:6 which is equivalent to the other ratio
or you can do
10:12
10 times 3 is 30 30:36 12 times 3 is 36
multiple choice geomotry 1 question
Answer:
c
Step-by-step explanation:
sorry i remove the question
A restaurant earns $10 for each hour worked up to 40 hours each week and 15 for each additional hour worked over 40 hours. If x represents the total number of hours the restaurant host work,which function,f(x), represent the total amount the restaurant host would earn if working for more than 40 hours
Answer:
[tex]f(x) = 15x - 200[/tex]
Step-by-step explanation:
Given
[tex]Earnings = \$10[/tex] per hour for 40 hours, weekly
[tex]Additional\ Hour = \$15[/tex] per hour over 40 hours, weekly
Required
Determine f(x)
From the question, we have that
x represents hours worked
Earnings in 40 hours is: 40 * 10 = $400
Hours over 40 will be: x - 40
So, earnings during this time will be: (x - 40) * 15
Total earnings is:
[tex]f(x) = 400 + (x - 40) * 15[/tex]
[tex]f(x) = 400 + 15x - 600[/tex]
[tex]f(x) = 15x - 600 + 400[/tex]
[tex]f(x) = 15x - 200[/tex]
Which set of ordered pairs could represent a function?
o (2, 3), (2, 2), (2, 4), (2, 9), (2,-2)
O (1,5), (2, 6), (1, 6), (4, 5), (1, 4)
O (1, 0), (2, 0), (1, 3), (4,3), (5, 7)
O (5, 1), (7,3), (9,5), (11, 7), (13, 9)
Answer:
(5,1), (7 3), (9, 5), (11, 7), (13, 9)
Step-by-step explanation:
For every input there is exactly one output.
Answer:
(5, 1), (7,3), (9,5), (11, 7), (13, 9)
Step-by-step explanation:
Add 3 to a number, multiply by 7 and result is 63 . Find the number
Answer:
6
Step-by-step explanation:
3+6=9 9x7=63
Answer: 6
Step-by-step explanation:
You can set the unknown number as x and then you would add 3 to x and multiply that by 7.
The equation would be 7(x+3)=63
7(x+3)=63
7x+21=63
7x=42
x=6
The answer is 6
c=3h-ah solve for h
Answer:
a= -c-3h/h
Step-by-step explanation:
Lin is interested in how many of her classmates watch her favorite TV show, so she starts asking around at lunch. She gets the following responses: 4 YES and 10 NO. If she ask one more random classmate, do you think they will say "YES" or " NO"?
Answer:
They will probably say NO
Step-by-step explanation:
Add to find the total number of response.
10 + 4 = 14
Find the probability of someone saying yes or no.
4 / 14 ≈ 0.29 or 29%
10 / 14 ≈ 0.71 or 71%
As you can see, saying NO is more likely than saying YES.
Best of Luck!
11. Graph the function. Label the vertex and axis of symmetry. State the domain
and range. Then describe where the function is increasing and decreasing. *
f(x) = 2(x - 1)(x – 3)
Answer:
x2 is the answer
Step-by-step explanation:
i found out by seeing those numbers in the numerial order.
PLease help this my last question
Answer:
y = 15∠abc = 68°∠bac = 78°∠acb = 34°Step-by-step explanation:
It is helpful to realize that the exterior angle is equal to the sum of the remote interior angles:
146° = (5y+3)° +(4y+8)°
135 = 9y . . . . . . . . . . . . . . divide by °, subtract 11
15 = y . . . . . . . . . divide by 9
∠abc = (4y+8)° = (4·15 +8)° = 68°
∠bac = (5y+3)° = (5·15 +3)° = 78°
∠acb = 180° -146° = 34°
Solve for the indicated variable.
y = mx + b for x
x=
Answer:
y-b/m = x
Step-by-step explanation:
y = mx + b
~Subtract b to both sides
y - b = mx
~Divide m to both sides
y-b/m = x
Best of Luck!
Alex and Carmen both sell items at craft fairs. Alex earns $36 for 3 birdhouses, and Carmen earns $75 for 5 scarves. What is the unit rate that each person earns for their craft? How many birdhouses will Alex need to sell in order to make as much as Carmen does when she sells 12 scarves? How do you know?
Answer:
To be able to find the unit rate that each person earns for their craft, you have to divide the amount each person earns by the number of units:
Alex: $36/3=$12 per unit
Carmen: $75/5=$15 per unit
To find the amount of birdhouses that Alex will need to sell in order to make as much as Carmen does when she sells 12 scarves, first you have to determine the amount that Carmen earns when she sells 12 scarves:
$15*12=$180
Now, you need to divide $180 by the price per unit Alex earns to find the amount of birdhouses that he needs to sell:
$180/$12=15
This means that Alex needs to sell 15 birdhouses to make as much as Carmen does when she sells 12 scarves
James rides the train from Center City to Lakeside. The train ride
lasts for 18 minutes. The train arrives at the Lakeside station at
9:12 A.M. What time did the train ride start?
Answer: 8:54
Step-by-step explanation:
Answer:
8:54 A.M.
Step-by-step explanation:
When you subtract 12 minutes from 9:12 A.M., you get 9 am. Then you still have to subtract 6 more minutes from 9:00 A.M. and you get 8:54 A.M.
A number x is at most -3. What’s the inequality
Answer: x<*-3
It wont let me write the less or equal sign*
Answer:
I believe it would be X ≤ -3
Step-by-step explanation:
My answer is stating x is -3 or less. this means it is including -3 as a possible answer.
Show Your Work
Please help I’ll mark brainliest
Answer:
(c)
Step-by-step explanation:
3+2+4 = 9, 4+2= 6- 3= 3
give me any equation in the comments
110*(3*3)
Step-by-step explanation:
=990
Just use PEMDAS
Write an expression for "n decreased by 3
Answer:
n - 3
Step-by-step explanation:
Decreased always mean subtraction.
There are 2 girls for every 4 boys in Rita’s new marching band. If there are a total of bought a total of 16 girls on the marching band, how many boys are there???? Explain
Answer:
32
Step-by-step explanation:
If there are 2 girls for every 4 boys, that's twice as many boys then there are girls, so, 16 x 2 = 32
Kyle is planning to hike a trail that is 24 miles long. He hikes at a rate of 6 mi/hr. Write a lineup equation in slope intercept form to represent the distance y, Kyle has remaining in his hike after x hours. * start by finding two points.
Answer:
6 . x = 24
Step-by-step explanation:
I NEED HELP LOOK AT IT WHAT IS IT?????????????
Answer:
B
Step-by-step explanation:
2.15 is bigger than 2.087
Answer:
2.087 < 2.15
Step-by-step explanation:
ok even as a decimal 2.087 is less than 2.15
2.087 < 2.15
How do you write 37. 4 in scientific notation?
Answer:
3.74 × 10 or 3.74 × 10^1
Step-by-step explanation:
Hope This Helps!
A plane descends at a rate of 212 feet per minute. What will the total change in elevation be after 6 minutes?
I’ll give brainliest! I need this answered by tomorrow!!
Answer:
The following points are on the line
(x,y) = (2,120)(x,y) = (3,180)(x,y) = (4,240)There are other points on the line, but I'm focusing on the points where the three filled in circles are shown. I'm ignoring (0,0) because that point won't be useful for the next section below.
Pick any of the three points and divide y over x
y/x = 120/2 = 60y/x = 180/3 = 60y/x = 240/3 = 60Whatever point you choose, you'll get the same ratio. The constant of proportionality is 60.
In the context of this problem, the 60 refers to the speed of the car.
The car travels 60 miles in 1 hour, or at a speed of 60 mph.
What is the slope intercept form of the line that passes through the following pints? (-4,5) (-2,-6)?
Answer:
y=-11/2x-6
Step-by-step explanation:
1. Find the slope of the line
Equation to find slope: y2-y1
x2-x1
6-5= -11
-2-(-4)=2
2. Put slope and one corrdinate pair into point slope form
Point Slope Form: y=m(x-x1)+y1
y=-11/2(x-(-4))+5
y=-11/2x-11+5
y=-11/2x-6
^Slope Intercept Form (y=mx+b)
Effect
Cause
If it is raining
then it is spring
A. Construct Arguments
Determine whether each effect is
always true for the given cause,
or is not necessarily true for the
given cause. For the effects that
are not necessarily true, how
could you change them to make
them always true?
If x and y are whole numbers
then their difference x -- y is a
whole number
If water is heated
then it boils.
If a triangle has a right angle
then it is a right triangle
If your favorite color is blue
then you are a good speller.
HELP PLS IMMEDIATE HELP PLS
Answer:
yc8,iv,g-)-*6"9-*"me &¶ lgz
Answer:
x= -6
Step-by-step explanation:
LCM of 16, 28, and 56
Answer:
2
Step-by-step explanation:
2x8=16, 2x14=28, and 2x28=56
What would the answers be for 2. And 3.?
Answer:
H and B
Step-by-step explanation:
For number 3 its B because pie = irrational
Answer:
For number 2 the answer is J.
For number 3 the answer is B.
Step-by-step explanation:
2. f(x)=2x+10
f(-8)=2(-8)+10
f(-8)=(-16)+10
f(-8)= -6
3. Pi is an irrational number so 32 with pi will also be irrational.