Answer:
Step-by-step explanation:
Area of room = 6×9.5=57m2
Area of room including verandah = 12×8.5=102m2
So area of verandah = 102−57=45m2
So cost of cementing the floor of this verandah = 45×80=3600rupees
In Parallelogram WXYZ, diagonals WY and XZ intersect at A. WA=x2−24 and AY=2x.
What is WY?
Enter your answer in the box.
WY=
units
Answer:
[tex] \displaystyle WY = 24[/tex]
Step-by-step explanation:
refer the attachment
remember that,
the diagonals of Parallelogram bisect each other so WA=AY
thus our equation is
[tex] \displaystyle {x}^{2} - 24 = 2x[/tex]
move left hand side expression to right hand side and change its sign:
[tex] \displaystyle {x}^{2} - 2x - 24 =0[/tex]
rewrite 2x and 4x-6x:
[tex] \displaystyle {x}^{2} + 4x -6x - 24 =0[/tex]
factor out x:
[tex] \displaystyle x ({x}^{} + 4) -6x - 24 =0[/tex]
factor out -6:
[tex] \displaystyle x ({x}^{} + 4) -6(x + 4) =0[/tex]
group:
[tex] \displaystyle ({x}^{} + 4) (x - 6) =0[/tex]
recall that,
When the product of factors equals 0 then at least one factor is 0 so
[tex] \displaystyle \begin{cases} {x}^{} + 4 = 0 \\ x - 6 =0 \end{cases}[/tex]
[tex] \displaystyle \begin{cases} {x}^{} = - 4\\ x =6 \end{cases}[/tex]
since the length cannot be negative negative x isn't available
therefore
[tex] \displaystyle \therefore x = 6[/tex]
since WA and AY are the part of WY we acquire:
[tex] \displaystyle WY = {x}^{2} - 24 + 2x[/tex]
substitute the got value of x:
[tex] \displaystyle WY = {6}^{2} - 24 + 2.6[/tex]
simplify square:
[tex] \displaystyle WY = 36 - 24 + 2.6[/tex]
simplify multiplication:
[tex] \displaystyle WY = 36 - 24 + 12[/tex]
simplify addition:
[tex] \displaystyle WY = 48- 24[/tex]
simplify substraction:
[tex] \displaystyle WY = 24[/tex]
hence,
[tex] \displaystyle WY = 24[/tex]
Diagonals bisect each other
WA=AYx²-24=2xx²-2x=24x²-2x-24=0x²-6x+4x-24=0x(x-6)+4(x-6)=0(x+4)(x-6)=0Take it positive
x=6Now
AY=2(6)=12WY=12(2)=24find the common difference of the arithmetic sequence -2, -11/4, -7/2
Answer = 3/4
First, change them all into like fractions.
-2, -11/4, -7/2 = -8/4, -11/4, -14/4
Therefore the common difference of their arithmetic sequence is 3/4
Hope it helps u.
Please mark the brainliest
Thank You
The side lengths of a triangle are 5, 12, and 13, is this a right triangle?
Answer:
D.
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
Choose D.......
Andre sells T-shirts. He charges
customers $19 per T-shirt, plus a delivery
fee of $8 per order. The amount, y, that
Andre charges for an order of x T-shirts is
represented by the equation y = 19x + 8. A
customer paid $217 for an order of
T-shirts. How many T-shirts did the
customer order?
Answer:
11
Step-by-step explanation:
217 = 19x + 8
209 = 19x
x = 209/19
x = 11
PLEASE QUICK I ONLY HAVE 11 MINS I NEED THIS ONE QUICK!
WILL GIVE BRAINLY
Answer:
the answer is 7 feet
2πr/2π=14π/2π
r=7 feet
HELP ILL GIVE BRAINLIEST
Answer:
Option 'a' is the correct answer.
I need help plzzzzzzzzzzz
Answer:
D. infinite
Step-by-step explanation:
what is the missing exponent?
17 / 17^4 = 17^8
Answer:
The missing exponent is 12.
Step-by-step explanation:
Whenever you divide same-base exponents, you keep the base numbers the same and subtract the exponents.
The only number subtracted by 4 that would give you 8 is 12.
Or, if the numbers are larger, it is must easier to add the exponent in the answer to the number in the equation.
For example,
[tex]17^4+17^8=17^1^2[/tex]
Therefore, the missing exponent is 12.
Because: [tex]17^1^2/17^4=17^8[/tex]
covery
Tissues
The volume of
the figure is
cubic inches.
Tissues
2 in.
Tissues
3 in.
6 in.
PLEASE
Answer:
[tex]V=108~in^3[/tex]
»»---------¤-----------««
[tex]l=6in\\\\w=3in\\\\h=2*3=6in[/tex]
∴[tex]Volume=l*w*h[/tex]
[tex]6*3*6=[/tex][tex]108 ~in^3[/tex] ✔︎•·················•·················•
hope it helps....
have a great day!!
Can someone please help with this ASAP!!
Answer:
Area of 2 triangle = 1/2* base*height
= 1/2*21*20= 21*10= 210 cm ^2= 2*210= 420 cm^2
Step-by-step explanation:
heyy! i’ll give brainliest please help
Answer:
they held yearly elections so I would say democracy but I'm not 100% sure
Completing the
Rewrite the equation by completing the square.
x^2-14x+33=0
Answer:
11,3
Step-by-step explanation:
Answer:
It is -7 and 16
Step-by-step explanation:
Khan
A highway makes an angle of 6 degrees with the horizontal. This angle is maintained for a horizontal distance of 8 miles
Complete Question
A highway makes an angle of 6 degrees with the horizontal. This angle is maintained for a horizontal distance of 8 miles
To the nearest hundredth of a mile, how high does the highway rise in this
*mile section?
Answer:
[tex]h=0.84miles[/tex]
Step-by-step explanation:
From the question we are told that:
Angle [tex]\theta = 6 \textdegree[/tex]
Horizontal distance traveled [tex]d=8miles[/tex]
Generally the Trigonometric equation for Height is mathematically given by
[tex]Tan \theta=\frac{h}{5}[/tex]
[tex]h=8*tan(6)[/tex]
[tex]h=0.84miles[/tex]
can some one explain please
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
angle measures to the.
Step-by-step explanation:
I don't know if it is a choice but if you not do measure and multiply If my answer is wrong. Hope not.
Help meee please I need help
Answer:
A
Step-by-step explanation:
[tex]d^2+16^2=25^2\\d^2+256=625\\d^2=368\\d=19.2[/tex]
Answer:
The answer is D. 47 meters.
Please help!!! How do I do this? What is X and how do I find it?
Answer:
[tex]x = 6 \sqrt{3} [/tex]
Step-by-step explanation:
[tex]x = \sqrt{ {12 }^{2} - {6}^{2} } = 6 \sqrt{3} [/tex]
Milan brought 18 packs of cola to a party, and each pack had 8 cans. Donna brought 9 cans of juice. How many cans did they bring in all?
cans
Answer:
I think its 72 cans
Tell me if I'm wrong!
In the 2004 Summer Olympics, Adam van Koeverden of Oakville, Ontario, won two medals. He won the gold medal in the men’s 500 m kayak race, with a time of 1 min 37.9 s. He also won the bronze medal in the 1000 m race, with a time of 3 min 28.2 s. In which race did he row with greater speed?
Answer: 500 meters
Step-by-step explanation:
Since he won the gold medal in the men’s 500 m kayak race, with a time of 1 min 37.9 s, the speed will be:
= Distance/Time
= 500m/1 min 37.9s
= 500m/97.9s
= 5.11m/s
Since he also won the bronze medal in the 1000 m race, with a time of 3 min 28.2s, the speed will be:
= Distance/Time
= 1000/3 min 28.2s
= 1000m/208.2s
= 4.80m/s
Therefore, he rowed with greater speed in the 500 meters.
Note that 60seconds = 1 minute
Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket.
He randomly draws a token froin the cup, and then randomly draws a token from his pocket. What is the probability that he
will draw $30 in tokens?
OB.
. В
We want to find the probability that Bob will randomly draw $30 in tokens. We will find that the probability is P = 1/6 = 0.167
Finding the probability.
The only case where he draws $30 randomly is when:
He takes one $5 token from the coin cupHe takes the $25 token from his pocket.Then we need to find the probabilities for these two events.
For the first one, the probability will be equal to the quotient between the number of $5 tokens and the total number of tokens in the cup. There are 6 tokens in the cup and 2 of these are $5 tokens, then the probability is:
p = 2/6 = 1/3
For the second event the probability is computed in the same way, he has two tokens in his pocket and one of them is a $25 token, then the probability is:
q = 1/2
The joint probability, the probability that both of these events happen at the same time, is given by the product of the individual probabilities, so we get:
P = p*q = (1/3)*(1/2) = 1/6 = 0.167
So the probability that he draws $30 in tokens is P = 1/6 = 0.167.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Answer:
4/9
Step-by-step explanation:
I need help for this question
9514 1404 393
Answer:
a) Cat
b) 8
c) 6
Step-by-step explanation:
a) Each line contains one large square, at least. The smallest additional area is on the Cat line. Apparently, the fewest people preferred cats.
__
b) The smaller symbols appear to represent 1/4, 1/2, and 3/4 of the larger square. On that basis, we can add all of the symbols to discover there are a total of 10 of them:
1 1/4 +1 3/4 +2 1/2 +1 1/2 + 3 = 8 + (1/4 +3/4) +(1/2 +1/2) = 8 +1 +1 = 10
Since 10 symbols represent 80 people, each large square symbol must represent 8 people.
__
c) The number preferring dogs is (1 3/4)(8) = 14. The number preferring giraffes is (2 1/2)(8) = 20. Then 20 -14 = 6 more people preferred giraffes.
Answer:
cat,8,6
Step-by-step explanation:
i think im not sure
There are 30 people entered into a contest. How many ways can the contestants win first, second, third, and fourth place?
Answer:
I am not entirely sure so don't kill me if it's wrong qwq
Step-by-step explanation:
Well assuming P represents the number of outcomes, n the number of competitors and r the number of places to be awarded.
P = n!
(n−r)!
P=30! /
(30-4)!
P=30!/26!
P=657720
It takes exactly 26 paper clips laid end to end to make 17 7/8 inches. How long is each paper clip? (I really need the explanation)
Answer:
11/16 inch or 0.6875 inch
Step-by-step explanation:
26 * x = 17 7/8
17 7/8 = 143/8
143/8 ÷ 26 = 143/8 x 1/26 = 143/208 = 0.6875
0.6875 in = 11/16 in
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Check
11/16 x 26 = 17.875 or 17 7/8
What is the inverse of f(x)=1.5^x+4
Answer:
Step-by-step explanation:
The inverse function of [tex]f(x) = 1.5^x + 4[/tex] is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
In other words, the required answer is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
To find the inverse of the function[tex]f(x) = 1.5^x + 4[/tex], we need to swap the roles of x and y and solve for y.
Start with the original function:
[tex]y = 1.5^x + 4[/tex]
Swap x and y:
[tex]x = 1.5^y + 4[/tex]
Solve for y:
Subtract 4 from both sides:
[tex]x - 4 = 1.5^y[/tex]
Take the logarithm (base 1.5) of both sides:
[tex]\log1.5(x - 4) = y[/tex]
Rewrite the equation with y as the subject:
y = log1.5(x - 4)
Therefore, the inverse function of [tex]f(x) = 1.5^x + 4[/tex] is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
In other words, the required answer is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]
Learn more about inverse functions here:
https://brainly.com/question/29141206
#SPJ2
Please help me with this one
Answer:
19.1 cm
Step-by-step explanation:
the other side = √8.1²-7.1²=√65.61- 50.41
= √15.20 = 3.9
perimeter = 7.1+8.1+3.9= 19.1 cm
Which of these values for p and a will cause the function f(x)=Pax to be an exponential growth function
The option are missing in the question. The options are :
A. P = 2, a = 1
B. [tex]$P=\frac{1}{2} ; a =\frac{1}{3}$[/tex]
C. [tex]$P=\frac{1}{2} ; a =1$[/tex]
D. P = 2, a = 3
Solution :
The given function is [tex]$f(x)= Pa^x$[/tex]
So for the function to be an exponential growth, a should be a positive number and should be larger than 1. If it less than 1 or a fraction, then it is a decay. If the value of a is negative, then it would be between positive and negative alternately.
When the four option being substituted in the function, we get
A). It is a constant function since [tex]$2(1^x)=2$[/tex]
B). Here, the value of a is a fraction which is less than 1, so it is a decay function. [tex]$f(x)=\frac{1}{2}\left(\frac{1}{3}\right)^x$[/tex]
C). It is a constant function since the value of a is 1.
D). Here a = 3. So substituting, as the value of x increases by 1, the value of the function, f(x) increases by 3 times.
[tex]$f(x)=2(3)^x$[/tex]
Therefore, option (D). represents an exponential function.
Answer:
Its P = 1/5 ; a = 2
Step-by-step explanation:
I am doing the test; I got it right.
What is the appropriate equation used to find the value of n?
Answer:
B
Step-by-step explanation:
It's B, because it's the only way to find n on both sides
Anyone thats smart ash amosc rvcklessray and Ill $$$ you please
I'm not sure if this is fully in English or not ><
sorry I cant help:3
Tell me if its a function or not plz help its due today am giving brainliest ppppppppppllllllzzzzzz
Answer:
#5 is a function, #6 is not a function
Step-by-step explanation:
Y is 5 times more than x
Answer:
y = 5x
Step-by-step explanation:
Form the equation:
y = 5 times x or y = 5x
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K