Answer: $33.60(B)
Step-by-step explanation:
Short way:
100+5 = 105
Convert to decimal:
1.05
Multiply:
32(1.05) = $33.60
Answer: $33.60
The light from the Cape Florida Lighthouse in Key Biscayne is visible for a distance of 15 mi. If the beam of light sweeps in an arc of 270°, what is the area covered by the beam?
Answer:
Area covered by beam = 530 mi² (Approx.)
Step-by-step explanation:
Given:
Radius = 15 mi
Arc angle = 270°
Find:
Area covered by beam
Computation:
Area of sector = [θ/360][π][r²]
Area covered by beam = [270/360][22/7][15²]
Area covered by beam = [0.75][3.1428][225]
Area covered by beam = 530 mi² (Approx.)
Trigonometry mixed please help
Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5th the caller will win a music player and every 7th caller will win concert tickets.
You were just the first caller to win both a music player and concert tickets!
What number of caller were you?
Answer:
you are the 35th caller.
Step-by-step explanation:
Multiples of 5: 5,10,15,20,25,30,35,40,45,50
Multiples of 7: 7,14,21,28,35,42,49,56,63,70
Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.
Colby is finding the surface area of the triangular prism shown. Which
expression will give him the correct value of B, the area of the base?
A. 7(15)
B. 7(11)
C. 1 over 2(7)(11)
D. 1 over 2(7)(15)
Answer:
Answer is A
Step-by-step explanation:
Area of the base = Area of Rectangle = Length x Width = 15x7.
Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.
Answer:
Percent sales tax = 9%
Step-by-step explanation:
Listed price = $29
Price with tax = $31.61
Amount of tax = Price with tax - Listed price
= $31.61 - $29
= $2.61
Find the percent sales tax.
Percent sales tax = $2.61/$29 × 100
= 0.09 × 100
= 9%
Percent sales tax = 9%
urgent !! someone help
NEED HELP PLEASE ANSWER FAST AND CORRECT.
Answer:
to prove:
mo=qo (given in the question)
angle m = angle q (given in the question)
angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)
hence they are congruent.
Step-by-step explanation:
hope so its right
mark brainliest
I NEED HELP ASAP PLEASE DON'T SPAM :(
Answer:
Answer is D hope this helps
Step-by-step explanation:
What is x equal to in this problem?
Answer:
x = 11?
Step-by-step explanation:
I do not know right now sorry hope someone else helps you!
one Sunday, number of visitors of a zoo was 840. on Monday, the number of visitors is decreased to 420, by what percentage was it decreased ?
Answer:
half or 50%
Step-by-step explanation:
Find the new amount if the original amount is 74 degrees and the percent of decrease is 3%. Round to the nearest tenth. Show all work. answer for a brainlist
pls hurry
Answer:
71.8
Step-by-step explanation:
74*0.97=71.78
Rounds up to 71.8
Which is a diagonal through the interior of the cube?
please give the answer fast
Step-by-step explanation:
my personal opinion is that the answer is 20
lol, I'm just kinda slow.
Answer:
understandable
Step-by-step explanation:
Janelle made ordered lists of the heights, in inches, of the students in Ms. Carver’s and Mr. Wright’s homerooms. She found the two lists had the same median value, but the list from Ms. Carver’s class showed greater variability. If the shortest student in Mr. Wright’s homeroom is 48 inches tall and the tallest student is 64 inches tall, what could be the heights of the shortest and tallest students in Ms. Carver’s homeroom?
46 inches and 61 inches
47 inches and 66 inches
52 inches and 63 inches
53 inches and 68 inches
Answer:
47 inches and 66 inches
Step-by-step explanation:
took test
3.1 Factorise completely
3.1.2 3x2 - 2x - 8
Answer:
3x² – 2x – 8
=> 3x² – 6x + 4x – 8
=> 3x( x – 2 ) + 4( x – 2 )
=> ( 3x + 4 ) ( x – 2 )
Therefore,
Either, 3x + 4 = 0
3x = - 4
x = - 4/3 (Ans)
And,
x – 2 = 0
x = 2 (Ans)
Answer:
(x - 2)(3x + 4)
Step-by-step explanation:
Given
3x² - 2x - 8
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 8 = - 24 and sum = - 2
The factors are - 6 and + 4
Use these factors to split the x- term
3x² - 6x + 4x - 8 ( factor the first/second and third/fourth terms )
= 3x(x - 2) + 4(x - 2) ← factor out (x - 2) from each term
= (x - 2)(3x + 4)
5 cucumbers for 5.95 find the unit price
Answer:
the unit price for this question is 1.19
Answer:
$1.19
Step-by-step explanation:
5.95/5=1.19
2 At the hot dog stand it costs $18.39 for five hot dogs and six bags of chips. If it costs $4.63 for
one hot dog and two bags of chips, how much is a hot dog?
Answer:
$2.25
Step-by-step explanation:
You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.
Please help me with this equation
2(3y-x)+6=3(2y+2x)-3
-(4k^2-13k-12)+5k^2-8k How would I be able to write this in standard form with the greatest exponent being first.
Answer:
Step-by-step explanation:
Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)
-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k
= -4k² + 13k + 12 +5k² - 8k
Combine like terms,
= -4k² + 5k² + 13k - 8k + 12
= k² + 5k + 12
Like terms are the terms with same variable with same exponent.
(-4k² ) and 5k² are like terms
13k and (-8k) are like terms
What is L'L?
O 5 units
07.5 units
O 10 units
O 12.5 units
Answer:
12.5
Step-by-step explanation:
The value of LL' is 5 units.
Option A is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down direction.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
ML' = 2.5
Triangle JKL dilated to Triangle J'K'L' with a scale factor of 1/3.
This means,
LL' = (2.5 x 3) - 2.5
LL' = 7.5 - 2.5
LL' = 5
Thus,
LL' is 5 units.
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ2
can someone please help me i will mark brainliest
T
Radius:
4
inches
Diameter:
Circumference:
Answer:
diameter 8
and i think the circumference is 25.12
Step-by-step explanation:
4+4=8
3.14(8)
10. The perimeter of a regular nonagon is 162 inches. The apothem is 97.8 inches. Find the area.
Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
[tex]A = \frac{p\cdot a}{2}[/tex] (1)
Where:
[tex]A[/tex] - Area of the regular polygon, in square inches.
[tex]p[/tex] - Perimeter, in inches.
[tex]a[/tex] - Apothem, in inches.
If we know that [tex]p = 162\,in[/tex] and [tex]a = 97.8\,in[/tex], then the area of the regular nonagon is:
[tex]A = 7921.8\,in^{2}[/tex]
The area of the regular nonagon is 7921.8 square inches.
can someone help with math please. asap (file attached :)
30° = 0.52
150° = 2.68
-220° = -3.34
What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in
Answer:
FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2
r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared
r = 12 "
area = 4 X pi X 12 X 12 = 576 pi" squared
ANSWER Area will be 4 times the original
Step-by-step explanation:
Answer:
The answer is D. 8.7
Step-by-step explanation:
A=4πr2
Solving fore
r=1
2A
π=1
2·951.1
π≈8.69978in
in a class, the ratio of boys to girls is 8 to 5. if there are 75 girls in the class, how many boys are there in the class? process pls
Answer:
120
Step-by-step explanation:
boys : girls
8 : 5
x : 75
to find x, take 75 and divide it by 5:
75 ÷ 5 = 15
(you do this to determine how you can go from 5 to 75)
take the qoutient and multiply it by 8:
15 × 8 = 180
PLEASE HELP RAISING THE POINTS TO 20!!
Answer:
There are two possible values for x.
The function value will be zero for the values of x.
Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.
Answer:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]
Required
Solve
Change / to *
[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]
Factor out 3
[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]
Factorize:
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]
Cancel out 3x + 8
[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]
Factorize:
[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]
Combine
[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]
[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]
Express the numerator as a difference of two squares
[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Hence:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
28 is equal to _____ hundredths
Answer:
2.8 I think
Step-by-step explanation:
plz tell me if its wrong