The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
Urgent Fast!!!!!!!??????
If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.
The area of a square = (side)^2
In this problem,
Area = 484
side = # of rows
Let's plug our values into the formula above
484 plants = (side)^2
Take the sqrt of both sides.
22 rows = side.
Answer:
This is the answer..........
If BC = x − 2, CD = 19, and BD = 3x − 11, what is BD? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you please type the answer in a step by step.
Answer:
UV = 15
BD= 31
Step-by-step explanation:
Since, U is the midpoint of TV.
Therefore,
TU = UV
x + 10 = 3x
x - 3x = - 10
-2x = - 10
x = - 10/-2
x = 5
UV = 3x = 3*5
UV = 15
BD = BC + CD
3x - 11 = x - 2 + 19
3x - 11 = x + 17
3x - x = 11 + 17
2x = 28
x = 28/2
x = 14
BD = 3x - 11 = 3*14-11 = 42 - 11
BD= 31
Study the graphs of f(x) and g(x). Which statement describes g(x) as a transformation of f(x) and identifies an equation for g(x)?
Answer:
D
Step-by-step explanation:
The price of a sweater was reduced from 20$ to 12$. By what percentage was the price of the sweater reduced?
Answer:
60%
Step-by-step explanation:
To find the reduction percentage, divide 12 by 20, then multiply by 100:
12/20
= 0.6
0.6(100)
= 60
So, the sweater was reduced by 60%
Answer:
60%
Step-by-step explanation:
[tex]\frac{12}{20} * \frac{x}{100}[/tex]
12 * 100 is 1200
1200/20 = 60
So, therefore the sweater was reduced by 60%.
Hope this helps, have a great day:)
Evaluate. 5(-6)
Helppp
Step-by-step explanation:
-30
multiply you'll get a negative number
What is the related rate of the ratio 90 to 3?
Answer:
30:1
Step-by-step explanation:
90:3
90÷3=30
3÷3=1
=30:1
A bike rental shop charges a 13 dollar fixed fee plus 7 dollars an hour for renting a
bike. Benny paid $76 to rent a bike. How many hours did he pay to have the bike
checked out?
Answer:
vRead the passage from “The Beginnings of the Maasai.”
Now Enkai lives at the top of Mount Kenya, and we Maasai still live below, herding cattle down in the plains. It’s not a bad life, especially when Enkai is the Black God, providing for us. And when the cattle or other children cause problems, I just warn them that they never know when I might suddenly develop my godly powers.
The main purpose of the passage is to illustrate the relationship between the Maasai and
Mount Kenya.
the children.
the cattle.
their god.
Step-by-step explanation:
A carton has a length of fraction 2 and 1 over 6 feet, width of fraction 1 and 1 over 5 feet, and height of fraction 2 and 1 over 2 feet. What is the volume of the carton?
Answer:
6 1/2 cubic feet
Step-by-step explanation:
A carton has a length of 2 1/6 feet
The width is 1 1/5 feet
The height is 2 1/2 feet
Therefore the volume of the carton can be calculated as follows
= length × width × height
= 2 1/6 × 1 1/5 × 2 1/2
= 13/6 × 6/5 × 5/2
= 390/60
= 13/2
= 6 1/2 cubic feet
Hence the volume of the carton is 6 1/2 cubic feet
The length of XY is 24 centimeters. The midpoint of XY is M, and C is on XM so that XD is 2/3 of XM. Point D is on MY so that MD is 3/4 of MY. What is the length of CD?
The length of CD is centimeters
Answer:
CD = 13 cm
Step-by-step explanation:
We assume you intend XC = 2/3 of XM, since XD cannot be that fraction of XM.
__
Of course XM = MY = 12, since M is the midpoint of a segment 24 cm long. Then 2/3 of XM is 8 cm, and 3/4 of MY is 9 cm.
CD = CM + MD = 4 cm + 9 cm
CD = 13 cm
What is 1.939 × 105 in standard form?
Hey there!
ANSWER: [tex]203.595[/tex]EXPLANATION:[tex]1.939*105[/tex]
Multiply.
[tex]1.939*105=203.595\\203.595(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Answer:
193900
Step-by-step explanation:
usatestprep
NEED HELP ASAP!!! name each angle in as many ways different as possible
Use the distributive property to write an equivalent variable expression. -5(5q - 4)
5p · 1 = 5p is what property
Answer:
034579+&_9&__78'_&666
Please explain how this diagrams works
Answer:
x = 21°
Step-by-step explanation:
opposite angles are equal
therefore, (3x + 1)° = 64°
open the brackets
3x + 1 = 64
3x = 64 - 1
3x = 63
divide both sides by 3
x = 21°
What is the equation of a sine function with an amplitude of 2 and a period of 4
Answer: C
Step-by-step explanation:
For this problem, we need to know the standard form of a sine function and the meaning of each part.
Standard form: [tex]y=asin[b(x-h)]+k[/tex]
a=amplitude
b=period
h=phase shift
k=vertical replacement/shifting
Now that we know the standard form and the components, we know that we can forget about k and plug in 0 for h. This would leave us with [tex]y=asin[b(x)][/tex]. We know that the amplitude is 2, therefore, a=2. To find the period, you divide 2π by the given period. [tex]\frac{2\pi }{b} =\frac{2\pi }{4\pi } =\frac{2}{4} =\frac{1}{2}[/tex], therefore, b=1/2.
[tex]y=asin[b(x)][/tex] [plug in a=2]
[tex]y=2sin[b(x)][/tex] [plug in b=1/2]
[tex]y=2sin(\frac{1}{2}x)[/tex]
Therefore, C is the correct answer.
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are picture cards .
Answer:
If we defelt 4 cards from 52 cards
Step-by-step explanation:
P(b) favorable outcome /total number of outcomes
48/52
The probability that all 4 cards are picture cards is 0.00183
How many kinds are in a deck of 52?A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images.
as, we know
A face card is any of the twelve cards in a deck which has a picture of a face. The face cards are kings, queens, and jacks.
So, the possibilities to get a picture card is are 3*4=12.
Now, he probability that all 4 cards are picture cards
=(12/52) * (11/51) * (10/50) * (9/49)
=( 11880 / 6497400 )
= ( 0.0018284237 )
= 0.00183
Learn more about deck of cards here:
https://brainly.com/question/19202591
#SPJ2
I need help on this question
Answer:
If they are the same size and length
Step-by-step explanation:
Angles are congruent if ,and only if ,they have the same measure.
Hope it helps.
Help please I am confused?
Answer:
Given m∠RST = (15x - 10)o
Using angle addition postulate:
m∠RST = m∠RSP + m∠PST (15x - 10)= (x + 25)+ (5x + 10)(15x - 10)=
so your answer would be (6x+35)
Step-by-step explanation:
-55÷12 = 7÷4m + 8÷3m what is m
Answer:
[tex]m=-\frac{53}{55} \\m=-0.963[/tex]
Step-by-step explanation:
Rewrite Equation.
[tex]7/4m+8/3m=-55/12[/tex]
Simplify.
[tex]\frac{53}{12m} =-55/12[/tex]
Simplify.
[tex]\frac{53}{12m} =-\frac{55}{12}[/tex]
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
[tex]53*12=12m*-55[/tex]
Simplify & Answer:
[tex]m=-\frac{53}{55}[/tex]
Two children of a sandwich.How much will each child get
Answer:
This is a Guess Each child gets Half of the Sandwich.
Step-by-step explanation
Winston put 3600 in a bank account that pays 3.4% over a 6 year period. How is the amount of simple interest will he earn? remember i = p r t
Answer:
3600 x 3.4=122.4 122.4 x 6=Answer
Step-by-step explanation:
I NEED HELPPPP
Complete the remaining columns in the chart by calculating the missing values for each
category. Round your percentages to the nearest tenth of a percent. (16 points)
Answer:
Step-by-step explanation:
Income tax = 9.8%
Housing = [tex]\frac{11400}{48900}\times 100[/tex]
= 23.3%
Food = [tex]\frac{7800}{48900}\times 100[/tex]
= 16.0%
Clothing = [tex]\frac{900}{48900}\times 100[/tex]
= 1.8%
Transportation = [tex]\frac{6000}{48900}\times 100[/tex]
= 12.3%
Insurance and medical = [tex]\frac{14400}{48900}\times 100[/tex]
= 29.5%
Entertainment = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Emergency funds = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for college = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for retirement = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Total = 100%
Answer:
Income tax = 9.8%
Housing =
= 23.3%
Food =
= 16.0%
Clothing =
= 1.8%
Transportation =
= 12.3%
Insurance and medical =
= 29.5%
Entertainment =
= 2.5%
Emergency funds =
= 1.2%
Savings for college =
= 1.2%
Savings for retirement =
= 2.5%
Total = 100%
Step-by-step explanation:
. Which table does NOT show y as a function of x?
I 름
4
1
A.
7
Х
10
14
9
9
11
y
18
17
15
16
110
90
B.
14
х
100
80
100
y
-0.2
1.0
-0.9
8.1
-1.3
4.4
C.
0.6
-3.7
Х
-0.2
5.8
y
29
24
21
-27
2.5
2.5
D.
- 24
Х
2.7
2.8
2.7
Y У
o
consider the functions show. Explain the graph of a function its inverse are reflections over the line y = x
Answer:The ordered pairs (a,b) of a function are (b,a) for the inverse function.
Step-by-step explanation:
Answer:
(a,b)/(b,a)
Step-by-step explanation:
It is 2.1 km from Mary's house to the nearest mailbox. How far is it in meters?
It is 2.1 km from Mary's house to the nearest mailbox.
To Find:How far is it in metres.
Conversion:1 km = 1,000 m
2 km = 2 × 1,000 = 2,000 m
Solution:2.1 km = ( 2,000 + 100 ) m = 2,100 m
Answer:2,100 m
Therefore, It is 2,100 metre far away from Mary's house.
Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown.
answers: 1,3,5
Answer:
p=1.50$ per pound
n=3.00$ per pound
6x1.5=9
3x3=9
9+9=18
Answer:
1,3,5
Step-by-step explanation:
go ahead report my answer because brainly is always reporting answers even if they are original and correct. undelete my answers brainly thats not fair. each one of us helps get the answers i matter too.
Is the ordered pair (-3,2) a solution to the equation 5x + 2y = -11
Step-by-step explanation:
(-3,2) is equal to (x,y)
x=-3 so 5x becomes 5x-3.
5x-3=-15
y=2 so 2y becomes 2x2.
2x2=4
-15+4=-11
T/F
True
So the answer is Yes, the ordered pair (-3,2) is a solution.
hope it helps!
22/44 rational or irrational?
Answer:
RATIONAL NUMBER
Step-by-step explanation:
22/44=2/4
IT IS IN THE SIMPLEST FORM AND IN THE FORM OF P/Q where as q is not equal to 0.
Describe and correct the error a student made when naming the polynomial
-2x3 + 5x4 - 3x is a
cubic trinomial
+
Choose the correct answer below
O A. The student did not put the polynomial in ascending order of the degrees of the terms before naming it by the first term. It is a linear trinomial.
O B. The student did not combine like terms before naming the polynomial. It is a degree-8 polynomial.
O C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.
OD. The student did not put the polynomial in standard form before naming it by the first term. It is a quadratic trinomial.
Answer:
C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.
Step-by-step explanation:
A trinomial is a polynomial with three variables. The polynomial -2x³ + 5x⁴ - 3x has three variables hence it is a trinomial.
The degree of a polynomial is the highest degree of a variable in a polynomial equation.
The polynomial -2x³ + 5x⁴ - 3x can be arranged as The polynomial 5x⁴ - 2x³ - 3x, hence the variable with the highest degree is 5x⁴ which has a degree of 4.
Therefore The polynomial -2x³ + 5x⁴ - 3x has a degree of 4
This means the polynomial -2x³ + 5x⁴ - 3x is a trinomial with a degree of 4
What is the meaning of the expression (4 + 5) x 2?
Answer:
18.
Step-by-step explanation:
4+5 is 9, and 9 times 2 is 18