Answer:
W=18ft
L=24ft
Step-by-step explanation:
Step one:
given data
area= 425ft^2
let the width W be =x
and the length L be =x+6
Required
Length and width
solution
Area= lenth*width
432=x*(x+6)
432=x^2+6x
x^2+6x-432=0
The roots of the quadratic equation is
x=-24-----can not be negative
x=18----correct
The dimension is
the width W =x=18ft
The length= x+6=18+6=24ft
check area= 18*24=432ft^2
The local pizza place has 3 pizzas for $33 on their regular menu. You got a 15%
off coupon in the mail. If you use the coupon, how much will your 3 pizzas cost?
Please fast
Answer:
dewdwdwwwdddddd
Step-by-step explanation:
f youuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
Answer:
$28.05
Step-by-step explanation:
Simple Math
What is the relationship between <1 and <7?
Answer:
like 45 plus 45 to get 90 and that is how it is the same
In triangle ABC, the measure of angle A is 90°. The length of AB is 1 unit. The length of AC is 8 units. Find the length of BC.
Given:
In triangle ABC, [tex]\angle A=90^\circ, AB=1\text{ units}, AC=8\text{ units}[/tex].
To find:
The length of BC.
Solution:
Pythagoras Theorem : In a right angled triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
In triangle ABC, angle A is right angle, so BC is hypotenuse.
Using Pythagoras theorem, we get
[tex]BC^2=AC^2+AB^2[/tex]
[tex]BC^2=(8)^2+(1)^2[/tex]
[tex]BC^2=64+1[/tex]
[tex]BC^2=65[/tex]
Taking square root on both sides.
[tex]BC=\pm\sqrt{65}[/tex]
But side cannot be negative, so [tex]BC=\sqrt{65}[/tex].
Therefore, the length of BC is [tex]\sqrt{65}\text{ units}.[/tex]
Using the Pythagorean Theorem, the length of BC is: 8.1 units.
Recall:
Pythagorean Theorem holds true when solving a right triangle that has side c as hypotenuse and side a and b as the other legs, thus: c² = a² + b².
Triangle ABC is shown in the diagram below, where:
m∠A = 90°AB = 1 unit = aAC = 8 units = bBC = ? = c (hypotenuse)Applying the Pythagorean Theorem, the length of BC is solved as follows:
BC = √(1² + 8²)
BC = 8.1 units
Learn more about the Pythagorean Theorem on:
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Caroline bakes cookies in batches of 24. If she bakes 3 batches of cookies per week, how many weeks would it take her to bake 2,088 cookies?
Answer: 29 weeks
Step-by-step explanation:
From the question, we are informed that Caroline bakes cookies in batches of 24 and that she bakes 3 batches of cookies per week. The amount of cookies baked per week will then be:
= 24 × 3
= 72 cookies
The number of weeks that would take her to bake 2,088 cookies will be:
= 2088 / 72
= 29 weeks
Plz help is the statements true or false
========================================================
Explanations:
------------------------------
Part (a)
Applying a rotation will not change the length of XY. This means segment X'Y is the same length as segment XY.
Put another way: (distance from X to Y) = (distance from X' to Y)
So if we have Y as the center of the circle, and XY as the radius, then X and X' are both on the same circle.
------------------------------
Part (b)
As explained in part (a), the segments XY and X'Y are both radii of the same circle, so they are equal to one another.
------------------------------
Part (c)
Draw a right triangle with side lengths XY, X'Y and hypotenuse XX'
Note how a 45-45-90 triangle forms. We can use the pythagorean theorem to show that XX' is larger than XY. Therefore, XX' and XY aren't equal.
------------------------------
Part (d)
This angle forms because we rotated point X 90 degrees with the center point as Y. It might help to think of point Y at the origin. So that's why this statement is true.
------------------------------
Part (e)
This is false because segment X'Y or YX' is a radius and not a diameter. We would need to multiply by 2 to get a diameter.
Which of the following statements would not translate to the equation 8 ÷ x = -4?
Answer:
The solution of a number divides by 8 equals to 4.
Step-by-step explanation:
This statement does not match with the condition discussed above.
Which triples are Pythagorean triples? (select all the correct answers)
-(8,15,17)
-(1,square root of 3,2)
-(9,12,16)
-(8,11,14)
-(20,21,29)
-(30,40,50)
Answer:
Step-by-step explanation:
(1) Yes
Answer:
(8, 15, 17) (20, 21, 29) (30, 40, 50)
Step-by-step explanation:
I got it correct on my assignment
If sin X = .342, then x=?
Answer:
Step-by-step explanation:
sinx=.342
then x is just so simple
[tex]x=sin^{-1} (.342)\\\\[/tex]
put that in a calculator or something
Factor the linear expression 15x – 10 using the greatest common factor of the terms.
A. 5(3x + 2)
B. 5(3x – 10)
C. 15(x – 2)
D. 5(3x – 2)
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
Solutions:
A. 5(3x + 2)
= 15x+10
B. 5(3x – 10)
= 15x-50
C. 15(x – 2)
= 15x-30
D. 5(3x – 2)
=15x-10
Answer:
D
Step-by-step explanation:
Rebecca works as a dog walker and a tutor. She
earns $20 per hour as a dog walker and $25 per
hour as a tutor. Last week, Rebecca worked both
jobs for a total of 30 hours and earned a total of
$690.
How long did Rebecca work as a dog walker,
and how long did she work as a tutor?
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
The following expression is a perfect square. Find the third term.
49y2 + 42y+
Answer:
+ 9
Step-by-step explanation:
Given the expression is a perfect square of the form
(ay + b)² = a²y² + 2aby + b² = 49y² + 42y +
Comparing coefficients of like terms
a² = 49 ( take the square root of both sides )
a = [tex]\sqrt{49}[/tex] = 7
2ab = 42 ( divide both sides by 2 )
ab = 21 , then
7b = 21 ( divide both sides by 7 )
b = 3, thus
b² = 3² = 9
Hence
49y² + 42y + 9 = (7y + 3)²
Mrs. Johnson has 159 chickens that she puts in shelters at night to keep safe. She places 12 chickens in a shelter and continues putting this number of chickens in each shelter until she comes to the last one. How many chickens will Mrs. Johnson put in the last shelter? answers: 3,4,13,14
Answer:
3
Step-by-step explanation:
159-12=147-12=... keep going until you get to
15-12=3
1.) Pranav completed 12 laps which is 15% of his daily goal. Using a bar model, what is his daily lap goal?
Answer:
80lapsStep-by-step explanation:
Step one:
number of completed laps=12
let his daily goal be x
so, we are told that 15% of the daily goal is 12 laps
Step two:
Required, the daily goal in laps
15/100*x= 12
0.15x=12
divide both sides by 0.15
x=12/0.15
x= 80laps
Therefore Pranav's daily goal is 80laps
Your friend really wants to buy the newest cell phone which will cost him $600. He gets a job detailing cars and SUVs and plans to save all the money he earns. If he gets paid $65 to detail a car and $90 to detail an SUV, what linear inequality can be used to determine how many of each he must detail in order to earn at least $600?
65c + 90s >_ 600
Step-by-step explanation:
65c plus 90s is greater than or equal too 600
2 If m please help me
Answer:
x = 18
m∠HCB = 36
Step-by-step explanation:
The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:
8x + 2x = 180
10x = 180
Divide both sides of the equation by 10 to isolate the x:
10x/10 = 180/10
x = 18
Now that we know the value of x, we can find the measure of angle HCB:
2x
2(18)
36
The measure of angle HCB is 36.
I hope this helps :)
solve for x. round to the nearest hundreths.
Answer:
x ≈ 8.57
Step-by-step explanation:
The ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{8}{6}[/tex] = [tex]\frac{20-x}{x}[/tex] ( cross- multiply )
8x = 6(20 - x) , distribute
8x = 120 - 6x ( add 6x to both sides )
14x = 120 ( divide both sides by 14 )
x ≈ 8.57 ( to the nearest hundredth )
32a + 28 = 0
(Factor completely.)
Answer: 0.875
Step-by-step explanation:
I will give brainliest!!!
A. 5x - 2 + x = x - 4
B. 5x + x = x - 4
How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract a quantity to/from only one side
(Choice B) Add/subtract the same quantity to/from both sides
(Choice C) Rewrite one side (or both) using the distributive property
(Choice D) Rewrite one side (or both) by combining like terms
Answer:
ADD/SUBTRACT A QUANTITY TO/FROM ONLY ONE SIDE
And part 2: is No
Step-by-step explanation:
Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x+2y 16 y=x-4 A (62) B (2,-2) C. (6, -2) D. (2, 2)
Answer:
A
Step-by-step explanation:
[tex]2x + y = 16 \\[/tex]
[tex]y = x - 4[/tex]
as y is given, u just need to substitue y's value into 2x+y=16
then u can solve it
im bad at math so help ill mark the first person brainliest ty
Answer:
A. -x² + 2x + 8
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define
f(x) = 2x + 1
g(x) = x² - 7
(f - g)(x) is f(x) - g(x)
Step 2: Solve
Substitute: (f - g)(x) = 2x + 1 - (x² - 7)Distribute -1: (f - g)(x) = 2x + 1 - x² + 7Combine like terms: (f - g)(x) = -x² + 2x + 8Can someone plz help
Answer:
y=65
isosceles triandle
x=360-55-65
x=250
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
a3 - 7+ b
When a = 2 and b =
–4, the value of the expression is?
Answer:-3
Step-by-step explanation:
2^3-7+-4=-3
8-7=1+-4=-3
The value of expression is -3
Expression based information:Given that;
a³ -7 + b
a = 2
b = -4
Find:
The value of expression
Computation:
The value of expression = a³ -7 + b
The value of expression = 2³ -7 + (-4)
The value of expression = 8 - 7 - 4
The value of expression = -3
Find out more information about 'Value of expression'.
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of the 180 players who signed up for basketball, 135 are girls. What percent (%) of the players who signed up for basketball are girls?
The percentage of the girl's players who signed up is 75%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of players = 180
Number of girls players = 135
The percentage of girls players.
= 135/180 x 100
= 75%
Thus,
The percentage of girls players is 75%.
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Greg ran 12 miles a day on 18 different days last month. How many miles did he run?
54 miles
196 miles
206 miles
216 miles
Plssss help I’m quite stuck on this question
Answer:
101010101101001110101010101011010101010101010101010101010101001 trumps suck
Step-by-step explanation:
An automatic dog feeder contains 30 cups of food and dispenses 2 cups of dog food each day. What expression can the dog owner use to express the amount of food left in the feeder after d days?
9514 1404 393
Answer:
30 -2d
Step-by-step explanation:
The total amount used in d days is 2d (cups). The amount remaining is the initial amount (30 cups) less the amount used. A suitable expression is ...
30 - 2d
1. What is the next term in the geometric sequence 4, 8, 16,...?
b. 42
a. 32
C. 64
d 96
Answer:
32
Step-by-step explanation:
Answer:
the answer is A. 32 hope this helps
25 points if you answer. Martin Rode his bike 3 2/3 miles in 16 1/2 minutes. Assume he wrote the same speed the entire time. How fast did he ride in miles per minute?
Answer:
The speed is 2/9 miles per minute
Step-by-step explanation:
Speed is defined as the distance covered per unit time.
The formula for speed is given by:
[tex]Speed = \frac{distance}{time}[/tex]
Let s be the speed, d be the distance and t be the time then
[tex]s = \frac{d}{t}[/tex]
Given
[tex]d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes[/tex]
The speed will be calculated by dividing the number of miles by minutes
So putting the values in the formula
[tex]s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}[/tex]
Hence,
The speed is 2/9 miles per minute
A fruit basket contains 4 red apples and 3 green apples. What is the ratio of the number of green apples to the number of red apples?
Answer:
3:4
Step-by-step explanation:
Answer:
3:4
Step-by-step explanation:
Clive and Erica both have part-time jobs where they get paid by the hour. Erica makes more than Clive. The number of dollars, dd, Clive makes in hh hours can be modeled by the equation d=9.5hd=9.5h.
Erica created a graph, with the number of hours she works along the xx-axis and the number of dollars she makes along the yy-axis. Her graph is a line with a slope of 99 and a yy-intercept is 00. Which is a true statement?
Missing Options:
A. Erica's graph is incorrect, because the slope should be greater than 9.5.
B. Erica's graph is incorrect, because the y-intercept should be greater than 9.5.
C. Erica's graph is correct, because the slope should be less than 9.5.
D. Erica's graph is correct, because the y–intercept should be less than 9.5.
Answer:
A. Erica's graph is incorrect, because the slope should be greater than 9.5.
Step-by-step explanation:
Given
Clive:
[tex]d = 9.5h[/tex]
Erica:
[tex]m = 9[/tex] --- slope
[tex]b =0[/tex] --- y intercept
First, we need to determine the equation of Erica's earnings using
[tex]d = mh + b[/tex]
Where
m = slope = 9
b = y intercept = 0
So, the equation becomes
[tex]d = 9 * h + 0[/tex]
[tex]d = 9h + 0[/tex]
[tex]d = 9h[/tex]
This implies that Erica earns 9 dollars per hour
For Clive:
[tex]d = 9.5h[/tex]
This means that Clive earns 9.5 dollars per hour
From the question, we understand that Erica earns more than Clive.
So, we can conclude that Erica's graph is incorrect because the slope must be greater than 9.5.
When the slope is greater than 9.5, then she earns more than Clive.