Answer:
7.62
Step-by-step explanation:
Using Phythagoras' theorem...
Hyp^2 = a^2 + b^2
that is:
8^2 = 11^2 + r^2
64 = 121 + r^2
64-121 = r^2
58 = r^2
therefore r = sqrt of 58
NB: Not sure but there you go.
Answer:
r ≈ 3.6
Step-by-step explanation:
∠ OAB is right ( angle between tangent and radius at point of contact )
then Δ OAB is a right triangleΔ
using Pythagoras' identity in the right triangle
with hypotenuse OB = r + 8 , then
OB² = OA² + AB² , that is
(r + 8)² = r² + 11²
r² + 16r + 64 = r² + 121 ( subtract r² from both sides )
16r + 64 = 121 ( subtract 64 from both sides )
16r = 57 ( divide both sides by 16 )
r = [tex]\frac{57}{16}[/tex] ≈ 3.6 ( to the nearest tenth )
amantha went shopping and decided to purchase a necklace for 35% off the regular price of $44. If Samantha buys the necklace today, she will save an additional 5%. Find the sale price of the necklace with both discounts. just need answer will give brainliest giving a lot of points will five star
Answer:
$27.17
Step-by-step explanation:
Regular price of necklace = $44
If a discount of 35% is applied, then the new price of the necklace will be 65% of the regular price, as 100% - 35% = 65%
⇒ 65% of $44
= 0.65 × $44
= $28.60
If a second discount of 5% is then applied, the final price of the necklace will be 95% of the sale price, as 100% - 5% = 95%
⇒ 95% of $28.60
= 0.95 × $28.60
= $27.17
Therefore:
The sale price with a 35% discount is $28.60
The sale price with an additional 5% discount is $27.17
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
Given :-
The regular price of necklace = $44
Discount on necklace = 35%
Additional save from necklace = 5%
Solution :-
First we have to found the prize of necklace that Amantha had bought at 35% discount
To find this, there is a formula
[tex]new \: price = real \: price - (discount \: percentage \times real \: price) [/tex]
Now we will put our value in this formula
[tex] = 44 - ( \frac{35}{100} \times 44) \\ = 44 - ( \frac{7}{20} \times 44) \\ = 44 - ( \frac{7}{10} \times 22) \\ = 44 - \frac{154}{10} \\ = 44 - 15.4 \\ = 28.6 \:[/tex]
Now will deduct the additional discount from this price by using same formula
[tex] = 28.6 - ( \frac{5}{100} \times 28.6) \\ = 28.6 - ( \frac{1}{20} \times \frac{286}{10} ) \\ = 28.6 - ( \frac{1}{10} \times \frac{143}{10} ) \\ = 28.6 - 1.43 \\ = 27.17[/tex]
Result :-
She spend $27.17 on buying the necklace
What are the steps, in the correct order, to write and solve an equation?
Answer:
The correct order is:
1. identify the variable
2. identify the operation
3. write an equation
4. solve the equation
5. check the solution
Step-by-step explanation:
f(x) = x². What is g(x)?
A. g(x) = -x² – 3
B. g(x) = -3x²
C. g(x) = x² - 3
D. g(x) = -x²
Answer:
A
Step-by-step explanation:
because g(x) is the opposite of f(x) minus three steps
can anyone help me? no links
Answer:
Step-by-step explanation:
Sum: addition
Difference: subtraction
Product: multiplication
Number Sum Difference Product
1, 4 1 + 4 = 5 4 - 1 = 3 1 * 4 = 4
2, 8 2 + 8 = 10 8 - 2 = 6 2 * 8 = 16
Hope this helps!
Nancy purchased some bedsheets for $36. Sales rate = 25%. Determine the original price. Solution:
Answer: 48
Step-by-step explanation: sales rate =25%
75% $36
1% = 36/75
100% = 36/75 × 100/1
Stan has made a $125.30 monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years. he would now like to draw a monthly salary from the account. determine the amount that stan can withdraw each month for 20 years, if he plans on not having anything in the account at the end of the 20 year period and no future deposits are made to the account. a. $69,242.49 b. $69,159.05 c. $333.29 d. $333.71
The annuity of the monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years is $333.71
What is annuity?An annuity is a series of payments made at equal period of time.
future value = annuity x [(1 + i)ⁿ - 1] / i
annuity = $125.30
i = 1.5% / 12 = 0.00125
n = 35 years x 12 months = 420
future value = $125.30 x [(1 + 0.00125)⁴²⁰ - 1] / 0.00125
future value = $69,156.049 ≈ $69,156.05
annuity = [i x (present value)] / [1 - (1 + i)⁻ⁿ]
i = 1.5% / 12 = 0.00125
n = 20 years x 12 months = 240
present value = $69,156.05
annuity = (0.00125 x $69,156.05) / [1 - (1 + 0.00125)⁻²⁴⁰]
annuity = $86.45 / 0.25904
= $333.71
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How many terms are in the geometric series 2. 1 + 10. 5 +. 820,312. 5?
O A. 3
OB. 7
O C. 9
O D. 180
Answer:
A. 3
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient
u/5 + 6 = 2
what is the value of u?
a. -28
b. 20
с. 40
d. -20
Answer:
D. -20
Step-by-step explanation:
[tex]\frac{u}{5} +6=2[/tex]
[tex]\frac{u}{5} =-4[/tex]
[tex]u=-4(5)[/tex]
[tex]u=-20[/tex]
Hope this helps!
Answer:
D.
Step-by-step explanation:
u / 5 + 6 = 2
-20 / 5 + 6 = 2
-4 + 6 = 2
2 = 2
13 people study French, 15 people study German and there are 21 people in total. What is probability to chose person who takes both of the languages
Answer:
Probability of choosing a person studying both languages is 1/3
Step-by-step explanation:
An ice cream cone has a diameter of 12.8 cm and a slant height of 9 cm. Find the lateral surface area of the cone. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
about 181 or 180.96
Step-by-step explanation:
π·6.4·6.332+6.42≈180.9555
Find the area of the rhombus shown.
Answer:
I believe the answer is D.96
Step-by-step explanation:
well all rhombuses can be turned into a square or rectangle. and this looks like the sides are really close. just a guess don't get mad if it's wrong
i need help ................
Answer:
The answer is B) 40 yards for $45.00
Step-by-step explanation:
Options:
A) 20 yards per $30.00
B) 40 yards per $45.00
C) 50 yards per $70.00
C) 65 yards per $85.00
Think if buying something at the lowest cost which gives more.
1 yard per $1.00, sounds like a good deal.
20 yards per $30.00 which mean $10.00 more.
40 yeards per $45.00 which mean $5.00 more.
50 yards per $70.00 which mean $20.00 more.
65 yeards per $85.00 which mean $25.00 more.
Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
√(7) + √(28) – √(700)
[tex]\sqrt 7 +\sqrt{28} - \sqrt{700}\\\\\\=\sqrt 7 +\sqrt{4 \times 7} - \sqrt{100 \times 7}\\\\\\=\sqrt 7 + 2\sqrt 7 - 10\sqrt 7\\\\\\=-7\sqrt 7[/tex]
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
Answer:
(0, - 3 )
Step-by-step explanation:
the solution to the system is at the point of intersection of the graphs.
the graphs intersect at (0, - 3 )
then solution is (0, - 3 )
Answer:
(0, -3)
Step-by-step explanation:
The solution is where the two lines intersect. The two lines intersect at the point (0, -3).
I hope it helped you!
Which one is it?
Btw this is a Math Question.
Answer:
$1.5
Step-by-step explanation:
9÷6= 1.5
1.5× 1 = 1.5
how much will be charged in prepaid interest on a $500,000 loan with an APR of 4.725% that was closed on August 26?
Answer:
$323.65
Hope this helps :D
It will charge $323.63 in prepaid interest on a $500,000 loan.
What is prepaid interest?Prepaid interest charges are charges due at closing for any daily interest that accrues on your loan between the date you close on your mortgage loan and the period covered by your first monthly mortgage payment.
Given that, a $500,000 loan with an APR of 4.725% we need to calculate the prepaid interest on it,
The prepaid interest is calculated by :-
First, you will take your annual interest rate of 4.725% and divide it by 365 to calculate your daily rate = 4.725% / 365
After you have your daily rate, multiply it by your loan amount to calculate your daily loan interest amount = 0.013% × $500,000 = $64.72
Next, you will need to multiply the number of days between your closing and first payment by your daily interest charge = $64.72 × 5 = 323.63
Hence, it will charge $323.63 in prepaid interest on a $500,000 loan.
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find the area of each shape
Answer:
1. 73.12, 2. 94.25, 3. 96, 4. 54, 5. 62.28, 6. 90.48
this is kinda rushed so you might want to check my answers
Step-by-step explanation:
1. find the area of the rectangle and semi circle seperately then add
4*12 = 48, (8/2)^2 *pi /2 = 8pi = 25.12
48+25.12 = 73.12
2. find the area of the triangle and semicircle then add
11*10/2 = 55, (10/2)^2 * pi / 2 = 39.25
55+39.25 = 94.25
3. split the shape into a trangle and a square
12*(2+6+2)/2 = 60, 6*6 = 36
36+60 = 96
4. split into 2 rectangles
10*3 = 30, 6*4 = 24
30+24=54
5. find area of rectangle and subtract area of semicircle
4*14 = 56, (4/2)^2 * pi /2 = 6.28
56+6.28 = 62.28
6. area of circle minus area of rectangle
(16/2)^2 * pi /2 = 100.48, 2*5 = 10,
100.48-10= 90.48
A/8 = 3/4 what is the value of A
Answer:
6
Hope This Helps! :)
what is the measure of OAC
Answer:
27°
Step-by-step explanation:
A tangent meets a radius at 90°Angles in a trainable sum to 180°180 - 90 - 63 = 27°Answer:
∠OAC = 27°
Step-by-step explanation:
The radius of the circle is perpendicular to the tangent line.
Therefore, ∠ACO = 90°
The interior angles of a triangle sum to 180°
⇒ ∠OAC + ∠ACO ∠ COA = 180°
⇒ ∠OAC + 90° + 63° = 180°
⇒ ∠OAC + 153° = 180°
⇒ ∠OAC = 180° - 153°
⇒ ∠OAC = 27°
Francie tried to shade all the multiples of 8 on the hundred chart.
1
2 3
4 5
6
7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
What mistake did Francie make?
The multiples of 8 from 1 to 100 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and 96.
How to calculate the multiples of the number 8?To calculate the multiples of 8 we must multiply 8 by any number and the result will be a multiple of 8.
To identify the multiples of 8 that are between the number 1 and 100, we must multiply the number 8 by the number sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12 .
So we will know properly are the multiples of 8 that are between 1 and 100 as shown below:
8 × 1 = 88 × 2 = 168 × 3 = 248 × 4 = 328 × 5 = 408 × 6 = 488 × 7 = 568 × 8 = 648 × 9 = 728 × 10 = 808 × 11 = 888 × 12 = 96Learn more about multiplication in: https://brainly.com/question/23536361
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Kaitlynn needs 3 pounds of fruit for a salad.
She already has 34 pound of apples and 13 pound of grapes.
How many more pounds of fruit does she need to buy?
please help meee :)))))))
Answer:
B, C, D
Step-by-step explanation:
B, C, D
Answer:
A.12
Step-by-step explanation:
x²>100
square root both sides
it becomes x>10
x>10
from the options the only number greater than 10 is 12
Therefore the answer is A. 12
does the equation 2x+ 3y=-6, 4x+6y=-12 have infinetley many solutions
Answer:
Yes it has infinity of solutions.
Step-by-step explanation:
If you plug in certain numbers it will make the statements true.
Answer:
Infinitely many solutions.
Step-by-step explanation:
Let's solve your system by substitution.
2x+3y=−6;4x+6y=−12
Step: Solve2x+3y=−6for x:
2x+3y=−6
2x+3y+−3y=−6+−3y(Add -3y to both sides)
2x=−3y−6
2x/2 = −3y−6/2
(Divide both sides by 2)
x= −3/2y−3
Step: Substitute −3/2y−3 for x in 4x+6y=−12:
4x+6y=−12 4(−3/2y−3)+6y=−12
−12=−12(Simplify both sides of the equation)
−12+12=−12+12(Add 12 to both sides)
0=0
Answer:
Infinitely many solutions.
ratio tables you need 3 sticks of butter for every 24 giant cookies cookie you make
fill out the table
Answer:
Sticks of butter: 2 Number of cookies: 40
Step-by-step explanation:
the ratio begins with 3:24. if you were to divide 3 by 24 it could be 1:8 **2**x 8 =16 so sticks of butter would be 2. 5x8=40.
Can you help me solve this
Show your workings
multiples of 8 are all the numbers which are divisible by 8, for eg: 8,16,24,32,40,48...
P card has all multiples of 8
hope it helps...!!!
Foster picked 50 figs and divided them into 5 baskets. If each fig was $3, how much is one basket?
Answer:
$30
Step-by-step explanation:
50÷5=10x3=30
The radius of a circle is 2 yards. What is the circle's area? r=2 yd Use 3.14 for .
Answer:
12.56
Step-by-step explanation:
pi(r)^2
3.14(2)^2
12.56
4/9 + 2/5 =
pls i really need the answer asap
Answer:
38/45
Step-by-step explanation:
Answer:
38/45
Step-by-step explanation:
Hope it helps
PLS HELP AND HURRY!!
Answer:
The answer should be: -2, 0, -8, -18
3) Mr. Brust is addicted to Red Bull and has decided that he wants to plaster his room at school with Red Bull cans.
He measures a can and finds it is 6.5 inches tall and has a diameter of about 2.5 inches. He decided that he will
just recycle the top and bottom since there is no Red Bull logo on them and just use the sides. How many cans will
Mr. Brust need to cover his wall that is 20 feet long and 9 feet tall?
Mr. Brust needs 427 cans to cover the wall of dimensions 20 feet long and 9 feet tall.
What is area of rectangle?Area of rectangle is the product of its sides
i.e., Area of rectangle = length x breadth
What is area of circle?The area of a circle is pi times the radius squared (A = π r²).
What is circumference of circle?The circumference of a circle is defined as the linear distance around it.
( C= 2πr)
The can of red bull is in shape of cylinder.
If we open the cylinder it will have two circular surfaces( at bottom and top) and one rectangular sheet.
Like the given figure given.
The can is 6.5 inches tall and has a diameter of about 2.5 inches.
It shows that the two circle will have the diameter 2.5 inches.
d= 2.5 inch
= 0.208 ft
radius, r= [tex]\frac{d}{2}[/tex]
r= [tex]\frac{0.208}{2}[/tex]
r= 0.104 ft
To get the length of the rectangle , we have to calculate the circumference of the circle.Circumference of the circle be,
= 2πr
= 2 x 3.14 x 0.104
= 0.653 ft
The rectangular sheet will have,
length= 0.653 ft, breadth= 6.5 inches = 0.541 ft
Now, area of rectangular sheet be,= length x breadth
= 0.653 x 0.541
=[tex]0.3532 ft^{2}[/tex]
Area of 2 circle( top and bottom of can) be,= 2 x π[tex]r^{2}[/tex]
= 2 x 3.14 x 0.104 x 0.104
= 6.28 x 0.010816
= 0.0679 [tex]ft^{2}[/tex]
Total area of can be,= Area of rectangular sheet + Area of 2 circle( top and bottom of can)
= 0.3532 + 0.0679
= 0.4211 [tex]ft^{2}[/tex]
Now, we have the wall of dimensions
length= 9 ft, breadth= 20 ft
Area of wall be,= length x breadth
=9 x 20
= 180 [tex]ft^{2}[/tex]
Number of cans required to cover the whole wall be,=[tex]\frac{area \;of\; wall}{area \;of\; can}[/tex]
=[tex]\frac{180}{0.4211}[/tex]
= 427.45 cans
≈ 428 cans
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