Answer:
101,100
280
Here's your answer
Please help me with my Geometry.
Step-by-step explanation:
2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :
1. support post (14ft), post to back (b), the long roof line
2. front to post (f), support post (14ft), dotted line
so, because the multiplication factor is the same for the sides, the ratio
"support post" / f
must be the same as
b / "support post"
14 / f = b / 14
b = 14²/f = 196/f
and then we know that
f + b = 53
by putting the first into the second equation we get
f + 196/f = 53
f² + 196 = 53f
f² - 53f + 196 = 0
the solution of such a quadratic equation in general is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = f
a = 1
b = -53
c = 196
f = (53 ± sqrt(53² - 4×1×196))/(2×1) =
= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =
= (53 ± 45)/2
f1 = (53 + 45)/2 = 98/2 = 49
f2 = (53 - 45)/2 = 8/2 = 4
as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.
therefore, the support post is positioned 4ft from the front of the house.
Select all relations that represent function
Answer:
The last three are all functions.
The first one is not because by defenition of function, an x value cannot have two y values.
The second one is because a function f(x) is the same thing as y
The third one is because x value does not repeat, and that is all that matters.
The fourth one is a function too since x values do not have two y values
A commercial airplane is flying at an elevation of 15,000 feet and ascends to an elevation of 20000 feet at a rate of 1250 feet per minute. How many minutes does this ascent take?
Answer:
4 minutes
Step-by-step explanation:
Put it into an equation
20000 = 1250x + 15000
Subtract 15000 from both sides
5000 = 1250x
Divide both sides by 1250
4 = x
Mathematic 20 don’t understand
Answer:
8.8 x 10 to the 9th power
Step-by-step explanation:
Beth sold half of her comic books and then bought nine more. She now has 28. With how many did she begin?
Equation:
Answer;
Steps to solve:
Answer:
She had 38!
Step-by-step explanation:
28-9 is 19 then just multiply that by two which is 38
Answer:
38
Step-by-step explanation:
28-9=19 19+19=3
subtract 9 from 28 then you get 19 then you add 19 to 19 and you get 38
Solve the following for x: 7/x=100/75
Answer:
9.31
Step-by-step explanation:
7/x=100/75
7/x=1.33
x=9.31
Answer: x = 5 1/4
Step-by-step explanation: 7/x = 100/75 (7)(75) = (100)(x)
100x/100 = 525/100 x = 21/4 x = 5 1/4
How many petrol tanks of capacity 1.2 * 10 ^ 4 litres each are required to empty 4.8 * 10 ^ 5 litres of petrol?
Answer:
40
Step-by-step explanation:
The number of tanks required is ...
(4.8·10^5 L)/(1.2·10^4 L/tank) = (4.8/1.2)·10^(5-4) tanks
= 4·10 tanks = 40 tanks
Can someone please explain how to do the complex algebraic equation? I couldn't find any answers online
a) Complete the table of values for x + y = 6
Х
-2
-1
0
1
2
3
y
Answer:
8 , 7 , 6 , 5 , 4 , 3
Step-by-step explanation:
Insert your x into the equation, then simplify for y.
If EF = 2x + 5 and FG = x + 9, what is EG?
Answer:
3x + 14
Step-by-step explanation:
Just add them together.
2x + 5 + x + 9
= 3x + 14
Would this be increase or decrease? 75 people to 25 people?
Answer:
decreased
Step-by-step explanation:
Shanice won 88 pieces of gum playing the bean bag toss at the county fair. At school she gave four to every student in her math class. She only has 8 remaining. How many students are in her class?
Equation:
Answer:
Steps to solve:
Answer:
20
Step-by-step explanation:
88 divided by 4 = 22, She gave 4 gums to each student, 8 divided by 4 = 2.
22 - 2 = 20
Please help!
5^3 x 5^-7
Answer: 0.0016
Step-by-step explanation:
5^3 = 125
5^-7 = 0.0000128
125 * 0.0000128 = 0.0016
6. Michelle got a new job through the McCartney Employment Agency. The job pays $49,400 per year, and the agency fee is equal to 35% of one month's pay. How much must Michelle pay the agency?
Answer:
$4, 116.66 times 35%=1,440.83 is the answer.
Step by step equation:
The agency fee is 35% of one months payment ($4,116.66) or ($1,440.83)
all you had to do is 49,400 divided by 12 months and you get $4,116.66 and then you times that by 35% and you get $1,440.83
What are the slopes to
3x+6=30
&
4y+2x+9
5x10^6 is how many times greater than 5x10^4
Answer:
By 100 times.
Step-by-step explanation:
Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.
By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.
5x10^6= 5000000
5x10^4= 50000
10^6 - 10^4 = 10^2 ---> 100 times.
Hope that helps, :)
Select the correct answer.
Consider the formula for the slope between two coordinate points, m, shown below.
V2 — 91
m =
12 - 11
Which of the following equations is equivalent to the slope formula?
OA.
OB.
*1 =
Y2 =
m(x2 - x) + y
mly₂-4₂) + x2
12 = m(y₂ - y₂) + x1
yz = m(x2 – x1) + y2
O C.
OD
=
Reset
Next
Answer:
it's A
Step-by-step explanation:
yeah-ya ............... right?
Please help, its Geometry
Hope it helps just read it and type it in XD
Chloe can read 75 words in 45 seconds. At this rate, how many words can she read in 15
minutes
Answer:
1500
Step-by-step explanation:
help pl pls pls pls pls
Answer:
they are both a function
Step-by-step explanation:
because i did this back in 8th grade
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
a=8
b=10
c=60
Simplify using order of
operations.
53 + 28 : 7-1
Step-by-step explanation:
53 + 28 =81
7-1=6
81:6
÷3 both side
27:2
Lowest form is 27:2
50% of what number is 60?
Answer:
50% of 60 is 30
Step-by-step explanation:
Ryan works at a donut shop where he makes $10.25 per hour. He works on at the school bookstore where he makes $8.75 per hour to worked 20 hours last week and made $196, how many hours did he work at each place?
Step-by-step explanation:
x = hours donuts
y = hours books
x + y = 20
10.25x + 8.75y = 196
from the first equation we get
x = 20 - y
that we use now in the second
10.25×(20 - y) + 8.75y = 196
205 - 10.25y + 8.75y = 196
-1.5y = -9
1.5y = 9
y = 9/1.5 = 6
x = 20 - y = 20 - 6 = 14
he worked 14 hours in the donut shop and 6 hours in the bookstore.
What is the equation of the line that is parallel to the
given line and passes through the point (-3,2)
Answer:
Step-by-step explanation:
A parallel line will have the same slope as the reference line. In this case, I don't see the "given line" as promised in the question. If it does appear, and it looks like y = 5x + 3, for example, the slope is 5 and the new line will have the same slope.
If this slope is correct, we can start the equation for the parallel line that goes through point (-3,2) by starting with:y = 5x + bWe need a value of b that forces the line to go through point (-3,2). We can do that by using the given point in the equation and solving for b:y = 5x + b2 = 5(-3) + bb = 17The parallel line to y=5x+3 isy = 5x + 17See attachment.How do you rewrite 7x3+7x5
If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]
I really need help it’s due soon!!! I will be asking more questions soon
Step-by-step explanation:
Yards of red material = 1.75
Yards of blue material = 1.75 x 1.2 = 2.1 yards
So the blue material is 2.1 yards
PLZ HELP, I need it done in like 20 mins. PLZZZ
Answer:
16.8
Step-by-step explanation:
Plug the equation (700+(-196))/((30+(3.5-(1/2))))+(-3)) into a calculator
Solve for xx. Leave your answer in simplest radical form.
Answer:
x²
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Help me pleaseeeeeeeeeeee
Answer: Third option