Answer:
Length = 8 inches
Width = 15 inches
Step-by-step explanation:
A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.
Let:
a = length of painting
b = width of painting
Area of painting = 120 = ab
Pythagorean Theorem says
a² + b² = Diagonal²
a² + b²= 17²
[120 =ab means b= 120/a]
a² + (120/a)² = 17²
Multiply through by a²
a⁴ + 14400 = 289
z² + 14400 = 289z [for now, substitute z for a²]
z² - 289z + 14400 = 0
z² - 64z - 225z + 14400 = 0
z(z - 64) -225(z - 64) = 0
(z - 64)(z - 225) = 0
z - 64 = 0
z = 64
z - 225 = 0
z = 225
Note that:
z for a²
Hence:
a² = 64
a = √64
a = 8 inches
The same applies for b
b² = 225
b = √225
b = 15 inches
A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
18312.5mm³
Step-by-step explanation:
Given parameters:
Height of cylinder = 18mm
radius = 18mm
Unknown:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
Insert the given parameters and solve;
Volume = 3.14 x 18² x 18
Volume = 18312.5mm³
rewrite in simplest terms : -6u-2(-7u+10)
Solve: 2.3 = v + 0.47 v = _____
Answer:
2.3=v+0.47v=
We move all terms to the left:
2.3-(v+0.47v)=0
We add all the numbers together, and all the variables
-(+1.47v)+2.3=0
We get rid of parentheses
-1.47v+2.3=0
We move all terms containing v to the left, all other terms to the right
-1.47v=-2.3
v=-2.3/-1.47
v=1+0.83/1.47
Answer:
[tex]v = 1.564[/tex]
Step-by-step explanation:
[tex]1v + 0.47v = 2.3[/tex]
[tex] = > 1.47v = 2.3[/tex]
[tex] = > v = \frac{2.3}{1.47} = 1.564[/tex]
PLEASE HELP ME IVE BEEN ASKING FOR AN HOUR PLEASE
Answer:
4
Step-by-step explanation:
Go up 1 and go right 3, repeat that pattern.
If roots of a quadratic equation are real and equal, then which of the
following options is true?
Answer: where are the options??
Step-by-step explanation:
For a science class, David recorded the daily high temperatures for five days. His calculations showed that the mean and median temperatures for the five days were the same. Which set of data supports David's calculation?
1. (42°, 40°, 44°, 39°, 45°)
2. (42°, 39°, 38°, 44°, 46°)
3. (42°, 39°, 38°, 45°, 47°)
The time, t, required to empty a tank varies inversely as the rate, r, of
pumping. If a pump can empty a tank in 2.5 hours at a rate of 400 gallons per
minute, how long will it take to empty a tank at 500 gallons per minute?
Answer:
2 hours
Step-by-step explanation:
2.5 * 400 = 1000
1000 / 500 = 2
Hope this helped!
Solve this equation.
24 + 0.44x = 19 + 1.69x
Answer:
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 + 0.44x - 1.69x = 19
-1.25x = 19 - 24
-1.25x = -5
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 - 19 = 1.69x - 0.44x
5 = 1.25x
1.25x = 5
x = 5/1.25
= 4
sara affirme que la somme de trois entiers consécutifs est toujours impaire. a t-elle raison . mickeal affirme que la somme des trois enters consécutifs est toujours un multiple a trois a t-il raison?
Consider the equation: 3(–4n – 9) = 21
Use the distributive property and properties of equality to solve for n.
Answer: N=-4
Step-by-step explanation:
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
-4n - 9 = -1 • (4n + 9)
Equation at the end of step
2
:
-3 • (4n + 9) - 21 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-12n - 48 = -12 • (n + 4)
Equation at the end of step
4
:
-12 • (n + 4) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : n+4 = 0
Subtract 4 from both sides of the equation :
n = -4
One solution was found :
n = -4
Answer:
The answer is Negative Four -4
Step-by-step explanation:
The average daily attendance at the Lincoln school was 348 students during the month of March. If the month has 21 school days what was the total attendance?
Define a variable, write an equation, then solve.
Answer:
7308
Step-by-step explanation:
348 times 21 = 7308
Sorry if this is wrong.
Translation of, “Six less than twice the value of x,”.
Answer:
2x-6
Step-by-step explanation:
Semisuma lungimii bazelor este formula de calcul pentru: *
Answer:
Can I Know Which Language Is This??
Liza’s age is two more than thrice the age of her younger sister.if her sister is 5 years old, how old is Liza?
Answer:
17 years old.
Step-by-step explanation:
sisters age:5
5×3+2=17.
Answer:
Liza is 17 years old.
Step-by-step explanation:
Ley 'x' be the age of Liza's younger sister
As Liza’s age is two more than thrice the age of her younger sisterso the equation of Liza's age will be:
Liza's age = 3x+2
As x = 5 years is Liza's younger sister age
so
Liza's age = 3(5)+2
= 15+2
= 17 years
Therefore, Liza is 17 years old.
A mountain climber is scaling 500-foot cliff. The graph shows the elevation of the climb over time. What is the slope?
If c varies diráctly as (1 + 1) and c= 8, when r = 3, calculate the value ofr when c= 20.
(4marks)
c = k(r + 1)
8 = k(3 + 1)
8 = 4k
8/4 = k
2 = k
c=2(r + 1)
When c = 20, then
20 = 2(r + 1)
20 = 2r + 2
20 - 2 = 2r
18 = 2r
18/2 = r
9 = r
Therefore, the value of r is 9 when c is 20.
Which unit would be most appropriate to measure the
width of the basement of a house?
A centimeters B meters C millimeters D kilometers
Answer:
measure the length of the area.and the width of the area. using feet
Richard is riding in a hot air balloon. The hot air balloon rises 200 feet in 50
seconds.
If the hot air balloon rises at the same rate each second, what is the hot air balloon’s rate per second?
200
feet per second
4
feet per second
4 feet per second
−4
feet per second
negative 4 feet per second
−200
feet per second
Answer:
4 ft per second
Step-by-step explanation:
We are given that it takes 50 seconds to go 200 feet
in order to find the ft/second, we divide by 50
50/50=1
200/50=4
so 4 ft/ 1 second
How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in a sentence.
Please help me out
Answer: In order to begin figuring that out, we need to know how both of their plans work.
Which of the following is equivalent to 5x − 6y = 8?
A. y = -5/6x
B. y = 6/5x + 2
C. y = 5/6x - 4/3
D. y = 8/11x
Answer:
b
Step-by-step explanation:
Find the equation if the line shown
Answer:
y=1/2x+9
Step-by-step explanation:
Please Help quick quick
Answer:
4
Step-by-step explanation:
Answer:
x=-5/3
x=-34/9
Conditional Statement: If two lines are parallel, then they do not intersect. Converse: If two lines do not intersect, then they are parallel. Inverse: If two lines are not parallel, then they intersect. Contrapositive: If two lines intersect, then they are not parallel. Which statements are true? A) Converse and Inverse B) Inverse and Contrapositive C) Conditional Statement and Converse D) Conditional Statement and Contrapositive
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
Two or more lines which have no intersections but are not parallel, known as skew lines.
Option D is correct.
Conditional Statement: If two lines are parallel, then they do not intersect.
Converse: If two lines do not intersect, then they are parallel.
Inverse: If two lines are not parallel, then they intersect
Contrapositive: If two lines intersect, then they are not parallel.
Thus, option (D) Conditional Statement and Contrapositive , is correct.
Converse and Inverse are false because skew lines are a type of lines which are neither parallel nor intersecting in 3D
Learn more:
https://brainly.com/question/2557987
Steve went to the grocery store. The initial subtotal of his bill was $105.23. Steve then used 5
coupons of the same value. If his subtotal after coupons was $101.48, how much was each
coupon worth?
Answer:
105.23-101.48=3.75
3.75/5=0.75
Step-by-step explanation:
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
a
3 miles per minute; it represents the speed of the bird
b
0.2 mile per minute; it represents the speed of the bird
c
0.2 mile; it represents the original distance of the bird from its nest
d
3 miles; it represents the original distance of the bird from its nest
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
Answer:
0.2 mile; it represents the original distance of the bird from its nest
Step-by-step explanation:
87789-8977609-78860=
Answer:
-8968680
Step-by-step explanation:
If this is what your looking for if not sorryyyy
87789-8977609-78860 all you have to do is use a calculator(if you can) or do it the old school way. First, what I did was subtract the first two numbers 87789 and 8977609 to get -8889820 and then subtracted 78860 from that to get a total of -8968680.
Find the solution for this system of equations:
y = -6x - 8
y = 46
O A) (24, -36)
OB) (36,-5)
OC) (46, -7)
OD) (-9. 46)
so its 1 am for me and I'm doing school work cause I over slept and fell 2 days behind is this anybody else
Answer:
me!
Step-by-step explanation:
3.what is the answer to this problem?
How many leaf are longest