Answer:
L = 36
Step-by-step explanation:
"A triangle with a height of 3 cm and a base of x cm is the result of reducing each dimension by a scale factor of one-third"
We are looking for the original. This triangle was reduced by 1/3, so we would have to mulitply by 3 to get the original triangle measurements.
height = 3 x 3 = 9
length = x * 3
"The area of the original triangle is 162 cm²."
Area = Base x Height/2
162 = (x*3) * 9/2
324 = (x*3)*9
36 = x*3
x = 12
What was the original length of the base?"
Length = x * 3
= 12 * 3
Length = 36
I hope this helped!
4. book: $39 with a 7.5% markup
What is the:
Markup:
Selling Price:
Answer:
Markup: 2.925
Selling price: $41.925
Step-by-step explanation:
Please due today are 11:59
How do I know where to put numbers on a graph
Answer:
X axis is on the left of the Coordinates (x,y) and Y axis is on te right
X goes sideways
Y goes Vertical
Step-by-step explanation:
The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
By thinking about the radius or otherwise, determine the gradient of the line l.
Given:
The equation of a circle is
[tex]x^2+y^2=169[/tex]
A tangent line l to the circle touches the circle at point P(12,5).
To find:
The gradient of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is
[tex]m_1=\dfrac{5-0}{12-0}[/tex]
[tex]m_1=\dfrac{5}{12}[/tex]
We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
[tex]m\times m_1=-1[/tex]
[tex]m\times \dfrac{5}{12}=-1[/tex]
[tex]m=-\dfrac{12}{5}[/tex]
Therefore, the gradient or slope of the tangent line l is [tex]-\dfrac{12}{5}[/tex] .
p(x)= 4x^3 -3x^2+5x-2
Answer:
p=4x^3−3x^2+5x−2/x
Step-by-step explanation:
Let's solve for p.
px=4x^3−3x^2+5x−2
Step 1: Divide both sides by x.
px/x=4x^3−3x^2+5x−2/x
p=4x^3−3x^2+5x−2/x
Answer:
p=4x^3−3x^2+5x−2/x
( I hope this was helpful) >;D
1/8 + 3/4 in its simplist form
Rewrite 3/4 to have the same denominator as 1/8.
3/4 = 6/8
Now you have 1/8 + 6/8 = 7/8
The answer is 7/8
What is / are the coefficients in this expressions? 3a+7-8n
Answer:
3 and 8
Step-by-step explanation:
3 and 8 are the only numbers that have a variable, or the letter beside it
i need help w this plss
Answer:
Line a and Line b are parallel. The slopes are equal
Line b is perpendicular to line c. The slopes are different
Step-by-step explanation:
The standard form of an equation is y =- mx+C
m is the slope
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1
For Line a: 4x-3y = 2
Rewrite
-3y = -4x+2
y = 4/3 x - 2/3
Slope of line a is 4/3
Line b: y = 4/3x + 2
mx = 4/3x
m = 4/3
slope of line b is 4/3
Line c = 4y+3x = 4
4y = -3x + 4
y = -3/4 x + 1
Slope of line c is -4/3
Since line a and b have the same slope, they arer parallel
mb * mc = 4/3 * -3/4
mb*mc = -1
Since the product of slope of line b and c is -1, they are perpendiclar
Can anyone help me with this please?
Do not answer if you do not know.
Answer: a
Step-by-step explanation:
its a angle question.
PLS HELP
The volume of a rectangular prism can be found by multiplying the three side lengths. A bookcase in the shape of a rectangular prism has dimensions (b+8) ft, b ft, and (b+3) ft. Find the volume of the bookcase
Answer:
(b³+11b²+24)ft³
Step-by-step explanation:
Volume of the rectangular prism = Length * Width * Height
Given the dimension
Length = b+8 ft
Width = b ft
Height = (b+3)ft
Volume of the rectangular prism = b(b+8)(b+3)
Volume of the rectangular prism = b(b^2+3b+8b+24)
Volume of the rectangular prism = b(b^2+11b+24)
Volume of the rectangular prism = b(b^2)+b(11b)+1(24)
Volume of the rectangular prism = b^3+11b^2+24
Hence the Volume of the rectangular prism is (b³+11b²+24)ft³
A student need to fill a tank with 9 liters of water. How many 1/3 liters will it take to fill the tank?
Answer:
Number of [tex]\frac{1}{3}[/tex] liters required to fill the tank = 27
Step-by-step explanation:
Amount of water needed to fill the tank = 9 liters
Measure of water to fill a vessel = [tex]\frac{1}{3}[/tex] liters
Number of [tex]\frac{1}{3}[/tex] liters vessels required to fill the tank = [tex]\frac{9}{\frac{1}{3}}[/tex]
= 9 × [tex]\frac{3}{1}[/tex]
= 27
Therefore, number of [tex]\frac{1}{3}[/tex] liters required to fill the tank = 27
someone please help, I need to construct a triangle with a perimeter of 125mm and having sides in the ratio 2:3:4. I don't understand ratios
Answer:mass CO2 = (mass AS) - (final mass)
Step-by-step explanation:
a fish swam 75 feet to the bottom of the river. The fish then swam up 35 feet towards the surface of the river and stopped. How deep is the fish in the river?
Answer:
40 feet deep
Step-by-step explanation:
:))
HELP ILL GIVE BRAINLIEST
In a class of 40 students, 75% of the students
turned in their assignments. How many
students did NOT turn in their assignments?
Answer:
10 students didnt turn in work
Step-by-step explanation:
10. its like saying 100 divided by 25
hello can someone pls help me? its 8th grade math :]
"simplify the expression, write answer using a positive expression"
(3/7)^-7 x (3/7)^-1 % (3/7)^3=( ? )(^?)
thanks so much!
HELPP!!!! I really need help lol this is due tomorrow at 2:00 in the morning:/
Answer:
P = 14x + 4
Step-by-step explanation:
P = 2(3x) + 2(4x + 2)
P = 6x + 8x + 4
P = 14x + 4
The square root of 150 lies between which two consecutive integers?
O 10 and 11
O 11 and 12
O 12 and 13
O 149 and 151
Answer:
12^2 = 144 and 13^2 = 169
So, the answer is 12 and 13
Step-by-step explanation:
Select the correct answer.
620
530
х
What is the value of x in this triangle?
Answer:
65
Step-by-step explanation:
Help! Will mark brainliest to whoever puts the answer first!
Answer:
1 and 6 (alternate exterior angle)
2 and 5(corresponding angle)
4 and 5(co interior angle)
3 and 5(alternate interior angle)
What is the area of the composite figure? Card F
特||
Shape 1: trapezoid
Area Formula:
Solve:
13 cm
Shape 2: square
Area Formula:
9 cm
Solve:
19 cm
24 cm
Fnal Answer
Incude Units)
Answer:
total area is bottom rectangle area+ upper rectangle area + two triangles.
whole area.
(24x19) + (13x9) +(24x13) =885
area of trapezoid
whole area - bottom rectangle
885-(24x19) = 429
Complete the table. Explain or show your reasoning.
Help plsssssssssssss
Answer:
CStep-by-step explanation:
use the number then do ÷
the ratio of dogs to cats at the local shelter is 2 to 5.there are 20 dogs at the shelter.what is the total number of dogs and cats at the shelter?
20:50 or if you have to add it 70
Please answer and show all work
Answer:
брате, заткнись, блядь, знай, хтось дбає про твої дивні тли
Step-by-step explanation:
Kevin just put 20.26 gallons of fuel into his car. There were 3.9 gallons in the car to begin with. How much fuel is in Kevin's car now?
HELPP
Answer:
24.16
Step-by-step explanation:
-3.5(x+9). URGENT : SHOW ALL STEPS PLEASE
Answer:
-3.5x - 31.5
Step-by-step explanation:
-3.5(x+9)
= -3.5x + -3.5(9)
= -3.5x - 31.5
Graph the system of equations, and determine the
solution.
X + 5y = 10
2x + 10y = 50
Use the graphing tool to graph the system,
Answer:
First one is 2. The second one is 5.
Step-by-step explanation:
One a map 3 centimeters represent 150 kilometers. If a line between two cities measure 4.5 centimeters, how many kilometers apart are they?
Polynomials and Factoring Unit Test part 2
f (x) = 9x^3 + 2x^2 – 5x + 4 and g(x) = 5x^3 - 7x + 4. what is f (x) – g(x)? Show all of your steps and write your final answer in factored form. Math symbols.
PLEASE HELP ME
Answer:
4x^3+2x^2+2x
Step-by-step explanation:
The difference of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x
How to Subtract Polynomials?To subtract one polynomial from another, take like terms together.
Given the polynomials:
f(x) = 9x³ + 2x² - 5x + 4 and g(x) = 5x³ - 7x + 4
Find f(x) - g(x):
(9x³ + 2x² - 5x + 4 ) - (5x³ - 7x + 4)
Open the bracket
9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4
Combine like terms together
4x³ + 2x² + 2x
Therefore, the subtraction of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x
Learn more about polynomials on:
https://brainly.com/question/2833285