Answer: The new length is: (y - x) metres.
Step-by-step explanation:
If we have a piece of string that is y metres long, and we cut x metres of strings from it, then the new length of the string will be equal to the difference between the initial length and the amount that we cut off.
So the initial length is y metres.
We cut x metres.
The new length is: (y - x) metres.
A, B & C form a triangle where ∠ BAC = 90°. AB = 6 mm and CA = 7.3 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answer:
BC ≈ 9.5 mm
Step-by-step explanation:
Since, ΔBAC is a right angle triangle,
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
BC² = 6² + (7.3)²
BC = [tex]\sqrt{89.29}[/tex]
BC =
BC = 9.445
BC ≈ 9.5 mm
Given f(x) = 4x - 1 and g(x) = x2, choose
the expression for (fºg)(x).
Click on the correct answer.
Step-by-step explanation:
step 1. f°g(x) = f(x^2)
step 2. f(x^2) = 4(x^2) - 1
step 3. answer: 4x^2 - 1
Mister mayor has asked that you pass a geometry quiz before you begin building. He wants you to make sure you are qualified before you begin building his city.
Answer:
what do you need help with tho lol
Step-by-step explanation:
wanna help a fellow hawt person out?
Answer:
50
Step-by-step explanation:
You gotta add up 38 and 12 because it reflects and it's the same across ABC
Given a roll of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth.
PLS RESPOND ASAP I NEED THE ANSWER PLSSSS
Answer:
124.8 Inches
Step-By-Step
1/2 0.835 Inches = 0.4175
r = 0.4175
h = 0.077
A=2πrh+2πr^2
A=2π(0.4175)(0.077)+2π(0.4175^2)
A = 3.12
Nickel = 5 Cents
$2 = 200 Cents
200 / 5 = 40
(3.12)(40) = 124.8 In
Answer:
The answer is 0.8 in^2
Step-by-step explanation:
Data
diameter = 0.835 in
thickness = 0.077in
Roll of $ 2.00
Procedure
1.- Find the total number of nickels
# of nickels = 2/ 0.05
# of nickels = 40
2.- Calculate the Circumference
C = 2*pi*r
r = 0.077/2
r = 0.0385
C = 2*3.14*0.0385
C = 0.242 in
3.- Calculate the area of the thickness
Area = 0.242* 0.077*40
Area = 0.745 in^2
4.- Calculate the area of the base and the top
Area = 2*pi*r^2
Area = 2*3.14*(0.0382)^2
Area = 0.0093 in^2
5.- Calculate the total area of the roll
Total area = Area of the thickness + Area of the base and top
Total area = 0.745 + 0.0093
Total area = 0.7543 in^2 This is the result
Rounding to the nearest tenth = 0.8 in^2
A family went to a carnival and bought 5 tickets. Children's tickets cost $5.50 each and adult tickets cost $7.50 each, and they spent $33.50. Fill in the blank below with the correct number of adult tickets purchased.
Answer:
4 adult tickets purchased.
Step-by-step explanation:
30.50 divided by 7.50 is 4
PLEASE HELP ME FAST!!
Translate , (−3,− 1) to the right 1 unit. Then reflect the result over the y-axis. What are the coordinates of the final point?
show work
Answer:
(-2, 1).
Step-by-step explanation:
Move (-3, -1) one unit to the right, and you get (-2, -1). Reflect (-2, -1) over the y-axis, and the coordinates will be (-2, 1).
The only thing that changes is the y coordinate. If you had reflected it over the x-axis, the x coordinate would have changed and the y coordinate would have stayed the same.
Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form.
3/4,1/8
Answer:
From 3 to 4,1 is 1,9 and from 4,1 to 8 it is 4,9 I think. I am sorry if I'm wrong I haven't done this is a while?
What is 69.37 minus 1.93
Answer:
the answer is 67.44 hope it helps smile
Leah has just inherited $12,000. She wants to invest the money so that she can
increase the value of her inheritance. What are some of the ways she can do this?
1. Leah wants to invest the $12,000 in an account that pays 4.5% annual interest.
Part A
Write equations for the amount A(t) that will be in the account after t years, if the
interest is compounded continuously, daily, and monthly. Then, find the amount
after 10 years, rounded to the nearest cent, for each method of compounding.
Complete the table.
When interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]A = P (1 + \frac{r}{n} )^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
If the interest compounded continuously:
P = $12000, r = 4.5% = 0.045%
⇒ [tex]A (t) = 12000 (e)^{0.045t}[/tex]
When t = 10 years, plug this value in the above expression and calculating, we get;
A(10) = $18819.75
When interest compounded daily:
[tex]A(t) = 12000 (1 + \frac{0.045}{365} )^{365t}[/tex]
Plug t = 10 years:
We get;
A(10) = $18819.22
Similarly, If interest is compounded monthly:
n = 12 and t =10, we get:
A(10) = $18803.91
Thus, when interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
Learn more about the compound interest here:
brainly.com/question/26457073
#SPJ2
Based on the problem above, how would you rewrite as a binomial squared?
x^2 + 8x - 3 = 0 (x + __ )^2 = __
Answer:
the quadratic equation cannot be written as the square of a binomial
Step-by-step explanation:
Given the expression
x^2 + 8x - 3 = 0
On factorizing
x = -8±√8²-4(-3)/2
x = -8±√64+12/2
x = -8±√76/2
x = -8±8.7/2
Note that since the since the discriminant is not a prefect square, the quadratic equation cannot be written as the square of a binomial
help with this too!!
Answer:
a
Step-by-step explanation:
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every 2 months. The overcharged amount w varies directly with time t . (a) Find the equation that models the variation . (b) Solve the equation to find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked. Show all your steps
Answer:
20 months
Step-by-step explanation:
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months. The overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex].
(a)
As the overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex],
[tex]w=kt[/tex]
Here, [tex]k[/tex] is a constant.
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months.
Put [tex]w=1\,,\,t=2[/tex]
[tex]1=2k\\k=\frac{1}{2}[/tex]
So,
[tex]w=\frac{t}{2}[/tex]
(b)
To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put [tex]w=10[/tex] in [tex]w=\frac{t}{2}[/tex]
[tex]10=\frac{t}{2}\\\\t=10(2)\\[/tex]
[tex]t=20[/tex] months
The point P(-5,-8) is reflected across the x-axis to create point Q.
Answer:
Answer: D. Q(5, −6) and R(−5, 6)
Step-by-step explanation:
8) Anthony wants to earn at least $41,000 this year. So far, he has earned $34,000. How much
more does Anthony need to earn to meet his goal?
Inequality:
Solution:
Ansswer:
7,000
Step-by-step explanation:
41,000 - 34,000 = 7,000
If f(x)=1−x
2
+x
3
, then f(−1)=
Answer:
-1
Step-by-step explanation:
if -1 is to replace the x in the equation of f -1 then you fill it in and the equation would be 1 - (-1 * -1) + (-1 * -1 * -1) and if you put the equation together you'll just get -1
Hi please help thank you so much
Answer:
23.09 ft
Step-by-step explanation:
tan = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ tan 13 = [tex]\frac{x}{100}[/tex]
tan of 13 is 0.23086
⇒ 0.23086 = [tex]\frac{x}{100}[/tex]
multiply each side by 100
⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100
solve:
⇒ 23.0868
round to the nearest hundreth:
⇒ 23.09
Please help ASAP I will give brainliest!
Answer:
6 minutes
Step-by-step explanation:
2 degrees per minute
so you need 12 degrees so 12/2 = 6 degrees
ahmed is 4 years old than sara, 5 years ago the sum of their age was 48, write a algebric equation to represent the situation and find saras age
Answer:
bjbhj
Step-by-step explanation:
Mrs. jack bought 150 T-shirt for $1920 from a factory calculate the cost of one Tshirt
Answer:
.07 if rounded then .08
Step-by-step explanation:
150 / 1920 = .078125
hope this helps...
Pls help I need this answer asap I got 10 min left :(
Answer:
Initial Value: 4
ROC: - 4/5
Step-by-step explanation:
I know you're short on time, if you want an explanation, let me know!
Answer:
Step-by-step explanation:
how do you turn fractions into decimals?
Answer:
You would need to divide the numerator by the denominator in order to convert a fraction into a decimal
Step-by-step explanation:
Answer:
You divide the numerator by the denominator.
Step-by-step explanation:
For example, you covert the fraction [tex]\frac{1}{2}[/tex] into a decimal.
You just do: 1÷2=0.5, and there you have it, the decimal!
Have a nice day!
14.875/1.5 step by step
Answer:
9.916...
Step-by-step explanation: (The "6" is repeating)
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
This gives us a mixed number-fraction: 9 and 11/12.
If we then turn this into a simplified fraction, then it becomes 119/12. Turn that into a decimal by dividing the numerator by the denominator.
This gives us our answer of 9.916...!!! Hope that helps!
Chromebook - $249
Calculate a 25% discount using a proportion or an equation.
Proportion
Equation
Answer:
Discount- $62.25
Price after discount-$186.75
Step-by-step explanation:
25% of 249 is 62.25.
Therefore, 249-62.25=186.75
if i can make 60 cakes in 15 minutes , how many can i make per minute what is the unit rate
4 per a minute
Step-by-step explanation:
Janine plans to deposit $20,000 at the end of each year for eight years into an investment account. The mutual funds containing stocks what continue to yield 6% per year. Find the future value.
Answer:
$197,949.40
Step-by-step explanation:
Just took the quiz.
Find the Total surface area
A prism 11 in tall with a right triangle for a base with side lengths 6 in, 8 in, and 10 in.
A) 344 in2
B) 383 in2
C) 312 in2
D) 288 in2
Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation:
find the value of given expression
[tex] \sqrt[3]{344 - 1} [/tex]
Answer:
7 Ans ......
Step-by-step explanation:
Given:
=³√344-1
Solution:
= ³√344-1
= ³√343
=7 Answer..
Answer:
[tex]\sqrt[3]{344-1} =7[/tex]
Step-by-step explanation:
Thanks!!
In 2007, the value of a house was £119,995 From 2007 to 2018, house prices decreased by 9.4%. How much has the value of the house decreased by?
Answer: £11,279.53
Step-by-step explanation:
Given
In 2007, the price of the house was £119,995
Price decreases by 9.4%
[tex]\Rightarrow \text{Current Price}=\text{Old Price}-9.4\%\text{Old Price}\\\Rightarrow 119,995-9.4\%\ \text{of}\ 119,995\\\Rightarrow 119,995(1-0.094)=119,995\times 0.906\\\Rightarrow 108,715.47[/tex]
Price decreased by 119,995-108,715.47=£11,279.53
Factor out the GCF:
-36n^3 + 6n^2
Answer:
Step-by-step explanation:
36n³ = 2 * 2 * 3 * 3 * n * n *n
6n² = 2*3 * n * n
GCF = 2 * 3 * n * n = 6n²
-36n³ = 6n² * (-6n)
-36n³ + 6n² = 6n²*(-6n) + 6n²
= 6n² ( -6n + 1)