Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
how do you determine volume?
Answer: V = πr 2 h
Step-by-step explanation:
To calculate the volume of a cylinder, you must know its height and the radius of the circular base (the distance from the center of the circle to its edge) at the top and bottom. The formula is V = πr 2 h, where V is the Volume, r is the radius of the circular base, h is the height, and π is the constant pi.
what is the solution to this inequality?
3n > 45.
A. n>15
B. n>42
C. n>48
D. n>135
Answer:
the answer to your problem is c
A living room is a compound shape made of two rectangles like the one
below. How many square feet of carpet would you need to cover the entire room?
Answer:
Step-by-step explanation:
702
6. Find the missing lengths of the sides.
Answer: D
30 60 90 trinagle rules
a=8
b=a sqaure root of 3 or 8square root of 3
c=2a or 2*8 or c=16
Step-by-step explanation:
Step-by-step explanation:
sin30°=8/c
1/2=8/c
8×2=c
16=c
tan30°=8/b
[tex] \frac{1}{ \sqrt{3} } = \frac{8}{b} \\ 8 \sqrt{3} = b[/tex]
option. d
4/8 x 4/8 i dont care if you answer want to be fwen :)
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
4/8×4/8
16/64
Lucy brought 4 of her scarves to a secondhand store to sell. She was paid the same amount
of cash for each scarf. Before she left, Lucy spent $10.50 of her earnings on a used sweater.
She had $7.50 remaining. What was the value of each scarf?
The value of each scarf from the sales will be $4.50.
Since Lucy spent $10.50 of her earnings on a used sweater and she had $7.50 remaining, the total amount that she made from the sales will be:
= $10.50 + $7.50
= $18.00
Since she sold 4 scarves, the cost of each scarf will be:
= $18.00 / 4
= $4.50
Therefore, the value of each scarf will be $4.50.
Read related link on:
https://brainly.com/question/25225698
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer: About 317.4 oz or 19 lbs! Pls Brainly Thx :D
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
The next model of a sports car will cost 6.3% less than the current model. The current model costs $45,000. How much will the price decrease in dollars? What will be the price of the next model?
Answer:fevagria un 30% de dinero
Step-by-step explanation:
I keep getting D wrong
If 6 things cost $1000, how much does 1 cost?
Answer:
$166.66
Step-by-step explanation:
if 6 items =$1000
1 item= ?
1item×$1000/6items
=$166.66
19. As part of a cookie recipe, you mix cup of chocolate chips for every 1 cups of
sugar. How much chocolate chips do you need if you use a whole cup of sugar?
Answer: 1 cup
Step-by-step explanation: they have a 1:1 ratio
Answer:
1
Step-by-step explanation:
If you have 1 cup of chocolate chips for every 1 cup of sugar, that is a 1:1 ratio
A whole cup of sugar is equal to 1 cup of sugar
Therefore, you will have 1 cup of choloate chips for the whole cup of sugar
81 x
3y + 72x
2y
2 + 16xy
3
Answer:
Step 1 :Equation at the end of step 1
((81•(x4))-((72•(x2))•(y2)))+24y4
Step 2 :
Equation at the end of step 2 :
((81 • (x4)) - ((23•32x2) • y2)) + 24y4
Step 3 :
Equation at the end of step 3 :
(34x4 - (23•32x2y2)) + 24y4
Step 4 :Trying to factor a multi variable polynomial
4.1 Factoring 81x4 - 72x2y2 + 16y4
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (9x2 - 4y2)•(9x2 - 4y2)
Detecting a perfect square :
4.2 81x4 -72x2y2 +16y4 is a perfect square
It factors into (9x2-4y2)•(9x2-4y2)
which is another way of writing (9x2-4y2)2
How to recognize a perfect square trinomial:
• It has three terms
• Two of its terms are perfect squares themselves
• The remaining term is twice the product of the square roots of the other two terms
Trying to factor as a Difference of Squares:
4.3 Factoring: 9x2-4y2
Put the exponent aside, try to factor 9x2-4y2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 4 is the square of 2
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (3x + 2y) • (3x - 2y)
Raise to the exponent which was put aside
Factorization becomes : (3x + 2y)2 • (3x - 2y)2
Final result :
(3x + 2y)2 • (3x - 2y)2
Step-by-step explanation:
Answer:
81x+16y
should be the correct one
Please help as soon as possible :))
Answer:
x=45 y=60
Step-by-step explanation:
the picture is kinda blurry but if im seeing it correctly its ^^^
Calculate the state income tax per year in PA on a salary of $55,000 *
1 point
$1688.50
$200.00
$700.00
Answer:
If you make $55,000 a year living in the region of Pennsylvania, USA, you will be taxed $11,017. That means that your net pay will be $43,984 per year, or $3,665 per month. Your average tax rate is 20.0% and your marginal tax rate is 32.8%.
Step-by-step explanation:
There are 32 students in the 6th grade at Garden Valley Middle School. Eight of them have freckles. What is the ratio of 6th graders with freckles to the total number of 6th graders?
A.
1:4
B.
4:1
C.
1:3
D.
3:1
Answer:
A. 1:4 is the answer of this question
Answer:
a
Step-by-step explanation:
there's a pattern that goes along with the 32 students in the 6th grade. since 8 is a factor (or multiple?) of 32, and 8x4 is 32, we can simplify.
so, 8 is the first multiple of 32 and 32 is the fourth. if we simplify that, we get 1:4.
the answer is 1:4.
A train travels at 100 miles per hour. Write an equation that compares the time (t) with the distance (d).
t = 100d
d = 100t
d = t + 100
t = d + 100
Answer: d = 100t
Hope this helps!
Answer:
d = 100 * t
Step-by-step explanation:
d
------------
S l t
distance = d
time = t
speed = 100miles/h
d = 100 * t
Can you please answer this question?
R = E / I solve for I
I = E/R
Step-by-step explanation:
r = E/I
IF the bottom number of a fraction is multiplied the it's whole number version, the bottom of the fraction is gone and the letter moves to the other side
I*r = E/I * I
IR = E
divide both sides by R to get I by itself
IR/R = E/R
I = E/R
Question 25
Multiply two or more consecutive integers to obtain a six-digit palindrome whose first two digits are “47”. What is the sum of these consecutive integers?
(A palindrome is a number that reads the same backwards as forwards)
Answer:
234Step-by-step explanation:
The number is in the form of:
47AA74This is divisible by 2, can be divisible by 3 but not divisible by 4 as 74 is not divisible by 4.
So possible number of integers is 2 or 3.
Two consecutive integersThere is no possible product ending with 4 (test it yourself)Three consecutive integersThe numbers are x - 1, x and x + 1
The product is between 470074 and 479974
Their product is between:
(x - 1)³ < x³ < (x + 1)³470074 ≤ x³ ≤ 479974∛470074 ≤ x ≤ ∛47997477.75 ≤ x ≤ 78.29x = 78 is the only integer within this intervalLets test:
77*78*79 = 474474Sum of these:
77 + 78 + 79 = 23434-18-(-23) write as a single number
Answer: 39
Step-by-step explanation: 34-18=16+23=39. Remember, 2 negatives equals a positive.
Answer: 39 cus 34-18=16+23=39
Step-by-step explanation:
Premier Consulting’s two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the clients over the four-week period are as follows:
Client Hours
A1 180
B2 75
C3 100
D4 85
Hourly rates vary for the consultant–client combination and are based on several factors, including project type and the consultant’s experience. The rates (dollars per hour) for each consultant–client combination are as follows:
Client
Consultant A B C D
Avery1 100 125 115 100
Baker2 120 135 115 120
Campbell3 155 150 140 130
a. Develop a network representation of the problem.
b. Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm’s billings. What is the schedule and what is the total billing?
c. New information shows that Avery doesn’t have the experience to be scheduled for client B. If this consulting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?
Answer:
The correct network diagram is the first one.
Step-by-step explanation:
Max 100 x 11 + 115 x 23 + 125 x 12 + 120 x 24 + 1 x 12 + 120 x 21 + 140 x 33 + 135 x 22 + 130 x 34 + 115 x 13 + 155 x 31 + 1
Excel formulation:
А B с D E F G H 1 1 2 2 3 4 5 6 7 Flow RHS Avery =SUM(C3:06) 160 Baker =SUM(C7:C10) 160 Campbell =SUM(C11:C14) 140 A =SUM(C3,
Solver inputs:
Set Objective: $D$15 To: Max Min O Value Of: 0 By Changing Variable Cells: $C$3:$C$14 + Subject to the Constraints: $G$3:$G$5
Solution:
Amount Billing
Avery-Client A 0 0
Avery-Client B 40 5000
Avery-Client C 100 11500
Avery-Client D 0 0
Baker-Client A 40 4800
Baker-Client B 35 4725
Baker-Client C 0 0
Baker-Client D 85 10200
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57925
Make 'Avery to B' zero in the solver entry and run the model again:
Amount Billing
Avery-Client A 0 0
Avery-Client B 0 0
Avery-Client C 100 11500
Avery-Client D 40 4000
Baker-Client A 40 4800
Baker-Client B 75 10125
Baker-Client C 0 0
Baker-Client D 45 5400
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57525
solve plsw brainliest
Answer:
40%
Step-by-step explanation:
2/5 = 40/100 or 40%
A scientist drops a probe in the water. The depth of the probe changes −1 1/2 feet every second. How many seconds will it take for the probe to reach the bottom at a depth of −114 feet?
solve pls brainliest
In coordinates, the first number is the x and the second one is y. In (4,2), 4 is the x and 2 is the y. The x axis goes from left to right and the y axis goes from up to down.
please help with geometry homework
7+ За = 12 + 2а
Can anyone give the answer quick!
Answer:
A=5
Step-by-step explanation:
Answer:
A=5
Step-by-step explanation:
7+3a=12+2a
-2a -2a
7+a=12
-7 -7
a=5
Which math expression means "the quotient of an unknown number and 18"?
A. x ÷ 18
B. 18 • x
C. x – 18
D. x + 18
Answer:
[tex]option \: b.[/tex][tex]18•x[/tex]
Answer:
Step-by-step explanation:
The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47.
How much does one sandwich cost?
A. $5.30
B. $3.50
C. $4.50
D. $6.50
Answer:
look at the photo..........
PLEASE HELP ME
The unit claims that you can increase the challenge of your workouts by using Newton’s first law of motion. We are given the example of running on sand or biking on gravel. What are some other ways that you can use Newton’s first law to create a more challenging workout? When you change the terrain, what is that force called?
Answer: Use Newton's first rule of motion to make your workout more difficult.
This rule says that until acted upon by an external force, a body continues in motion.
By altering the ground on which you exercise, you may reduce the influence of inertia on your exercises, as inertia maintains you going forward.
Workout on materials that slow it down your upward motion, requiring you to expend more energy to keep going ahead.
Run on sand rather than tarmac, or do aerobic exercises on rubber mats rather than wood flooring.
Happy To Help ;)
Step-by-step explanation:
the world population in 2016 was estimated to be 7.4 billion people and it is increasing by about 1.1% per year. assume that this percentage growth rate remains constant through 2030 explain why the population is an exponential function of time. what would you expect the world population to be in 2030
Answer:
1
Step-by-step explanation: i guessed
I need help I don't understand.
Answer:
x=6
Step-by-step explanation: