Answer:
x=4.225
Step-by-step explanation:
You can use your trigonometric ratios to help you solve this problem. We have the hypotenuse and the angle that the triangle makes with the adjacent side. X is the adjacent side of this problem, therefore we need to take the cosine of this angle (remember SOHCATOA, Sine: Opposite/Hyp, Cosine: Adjacent/Hyp, and Tan: Opp/Adj) using this, we can model an equation where Cos(62)=(x/9), in order to solve for x, simply multiply both sides by 9 to get a final answer of 4.225...
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
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.
Can someone please explain how to do the complex algebraic equation? I couldn't find any answers online
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, :)
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:
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
What is equivalent to
4(b+5)
Mathematic 20 don’t understand
Answer:
8.8 x 10 to the 9th power
Step-by-step explanation:
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
Solve for xx. Leave your answer in simplest radical form.
Answer:
x²
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Would this be increase or decrease? 75 people to 25 people?
Answer:
decreased
Step-by-step explanation:
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
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
What are the slopes to
3x+6=30
&
4y+2x+9
What is the solution to the inequality below?
12+x2 3(x-6)
A. X
X5 9
O B. Xs12
O c. xs5
O D. xs 15
What’s the answer
Answer:
x ≤ 15
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please help, its Geometry
Hope it helps just read it and type it in XD
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
a grandmother 2 mothers and 2 daughters went to the cafe. they ordered one cup of coffee each. what was the total number of cups they ordered.
Answer:
5 cups of coffee
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
1 grandmother = 1 cups
2 mothers = 2 cups
2 daughters = 2 cups
2 + 2 + 1 = 5
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
help pl pls pls pls pls
Answer:
they are both a function
Step-by-step explanation:
because i did this back in 8th grade
It takes 5 builders 3 1/2 hours to build a wall. How many hours will it take for 2 builders to build an identical wall?.
Answer:
8.75 hours for 2 builders so complete it
Step-by-step explanation:
its right because im smart and i say its right
If it takes 5 builders [tex]3\frac{1}{2}[/tex] hours to build a wall, it will take 2 builders [tex]8\frac{3}{4}[/tex] hours to build an identical wall
The time taken for 5 builders to build the wall = [tex]3\frac{1}{2}[/tex] hours
The time take for 5 builders to build the wall = 3.5 hours
Time taken for 1 builder to build an identical wall =
5 x (Time taken for 5 builders to build the wall)
Time taken for 1 builder to build the wall = 5 x 3.5
Time taken for 1 builder to build the wall = 17.5 hours
Time taken for 2 builders to build an identical wall = (Time taken for 1 builder)/2
Time taken for 2 builders to build an identical wall = 17.5/2
Time taken for 2 builders to build an identical wall = 8.75 hours
Time taken for 2 builders to build an identical wall = [tex]8\frac{3}{4}[/tex] hours
Learn more here: https://brainly.com/question/25874783
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
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.
Use the scale to help you solve the equation.
Help me pleaseeeeeeeeeeee
Answer: Third option
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.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?
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.