Answer:
37.3 m
Step-by-step explanation:
Let the distance of the coin to the base of the building be represented by x. Applying the required trigonometric function, we have:
Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]
Tan 15 = [tex]\frac{10}{x}[/tex]
0.2680 = [tex]\frac{10}{x}[/tex]
x = [tex]\frac{10}{0.2680}[/tex]
= 37.3134
x = 37.3 m
The distance of the coin from the base of the building is 37.3 m.
A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
price of $30 each. Find the percent markup.
The percent markun ico
please help
Number of shirts a department store bought = 200
Cost price of 200 shirts = $5400
Cost price of 1 shirt :
[tex] =\tt \frac{5400}{200} [/tex]
[tex]\color{plum} =\tt \$27[/tex]
Thus, the cost price of one shirt = $27
Price at which the department store sold each shirt = $30
Which means :
▪︎Cost price of shirt = $27
▪︎Selling price of shrit = $30
Since selling price is greater than cost price, there was a markup in the price of the shirts.
We know that :
[tex] \color{hotpink}\tt \: markup \: percentage = \color{plum} \frac{selling \: price - cost \: price}{cost \: price } \times 100[/tex]
Markup percentage in the price of the shirts :
[tex] = \tt \frac{30 - 27}{27} \times 100[/tex]
[tex] = \tt \frac{3}{27} \times 100[/tex]
[tex] = \tt \frac{3 \times 100}{27} [/tex]
[tex] = \tt \frac{300}{27} [/tex]
[tex] \color{plum} = \tt11.1 \%[/tex]
Thus, the percentage of markup = [tex] \tt 11.1 \% [/tex]
Therefore, the percentage of markup in the shirt's price = [tex] \color{hotpink} \tt11.1 \% [/tex]
Answer:
11.11%
so mark me as brainlist
Brian is tiling a patio and ran out of tiles. The width of the remaining area of ⅔ yard. The length of the remaining area is 4 yards. What is the area Brian has left to tile?
Answer:
Area of the remaining patio = 2.67 square yards
Step-by-step explanation:
Width of the remaining area of the patio = [tex]\frac{2}{3}[/tex] yards
Length of the remaining area of the patio = 4 yards
Since, area of the remaining area of the rectangular patio
= Length × Width
= [tex]\frac{2}{3}\times 4[/tex]
= [tex]\frac{8}{3}[/tex]
= 2.67 square yards
Therefore, area of the remaining area of the patio = 2.67 square yards
solve the 6 linear equations
-(x+2)=2(3x-6)
What is UW? For brainliest
Answer:
UW = 5
Step-by-step explanation:
use the altitude rule and set up a proportion:
4/UW = UW/6.25
cross-multiply:
UW² = 25
UW = [tex]\sqrt{25}[/tex]
UW = 5
List the first five prime numbers
Answer:
2,3,5,7,11
Step-by-step explanation:
see above for the first five prime numbers
Answer:
2, 3, 5, 7, 11
hope this helps
have a good day :)
Step-by-step explanation:
PLS SHOW HOW YOU SOLVED THE PROBLEM
15. The perimeter of an isosceles triangle is 34 inches. When you add the base of the
triangle to one of the equal sides the sum is 18. What is the length of the base of the
triangle?
a)
2 inches
go to card 3
b) 14 inches
go to card 6
c) 9 inches
go to card 9
d) 16 inches
go to card 11
e) 4 inches
go to card 13
Answer:
D
Step-by-step explanation:
A number cube is numbered 1 through 6. What is the theoretical probablity of rolling an even number?
Solving Distributive Property Equations,
1. 2(x + 5) = 16 2. 3(t + 1) = 18
3. 3(x + 7) = 15 4. 2(3y – 5) = 14
5. 2(3x + 1) = 8 6. 4(3y – 2) = 88
7. 6(3k + 5) = 39 8. 9(3x – 5) = 9 8. 9(3x – 5) = 9
Find each angle measure.
Answer:
Step-by-step explanation:
1)140
2)70
What should be added with -7/12 so that the sum is 0 ?
Answer:
7/12
Step-by-step explanation:
You need to get -7 to be a positive number so that its zero
-7+7=0
Then just add the denominator!!!
0/12=0
I hope this helps!!!!
A circular race track is 62.8 miles around. A driver is moving at 5 miles an hour driving from the outside to the center of the track. How long will it take for him to arrive?
Calculate the time it takes to travel to the center.
G I V E N
Speed of driver = 5 miles/hours
Distance to be covered = 62.8 miles
F O R M U L A ~ U S E D
Speed = Distance/Time
S O L U T I O N
Time = Distance/Speed
= 62.8 miles / 5 miles / hour
= 12.56 hours
It will take 12.56 hours to cover 62.8 miles, if the driver is moving
with 5 miles/hours
Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form.
25 and 29
The geometric mean is
A party cap is in the form of a frustum. The radii of its ends are 10cm and 30 cm. The volume of the cap is 9100. What is the height of the cap?
Answer:
4.46cm
Step-by-step explanation:
Volume of a frustum is expressed as;
V = (1/3) * π * h * (r₁² + r₂² + (r₁* r₂))
h is the height of the frustum
r₁ and r₂ are the radii of its ends
V is the volume
Given
V = 9100cm₃
r₁ = 10cm
r₂ = 30cm
Substitute
9100 = (1/3) * (3.14) * h * (10² + 30² + (10* 30))
9100 = 1/2(3.14)*h*(100+900+300)
9100 = 1.57*h*(1300)
9100 = 2,041h
h = 9100/2,041
h = 4.46cm
Hence the height of the cap is 4.46cm
Andre's recipe for lemonade calls for 5 cups of
sugar to make 3 gallons of lemonade. Leila will
follow the same recipe to make g gallons of
lemonade using s cups of sugar. Which of these
equations represents the relationship between g
Answer: [tex]g= \frac{5}{3} s[/tex]
Step-by-step explanation:
[tex]3g=5s\\g=\frac{3}{5}s[/tex]
A toy store had 789 games.
It sold 53 of these games.
How many games are at the store now?
I games
?
Answer:
736 games are at the store now
Step-by-step explanation:
789-53=736
Answer:
736
Step-by-step explanation:
789-53=736
what is the surface area of the cylinder with height 3km and radius 7km
Answer:
A=439.82 or A=439
Step-by-step explanation:
~~~~~~~~:)
Rashaad went to the store to buy some apples. The price per pound of the apples is $4.75 per pound and he has a coupon for $2.50 off the final amount. With the coupon, how much would Rashaad have to pay to buy 5 pounds of apples? Also, write an expression for the cost to buy
p
p pounds of apples, assuming at least one pound is purchased.
Answer:
21.75
Step-by-step explanation:
sorry if im wrong
I don't understand this? help me! Linear functions 9th-grade math
Answer:B i think
Step-by-step explanation:
B.e b.i.g b.r.a.i.n a.t a.l.l t.i.m.e!
(Be big brain at all time!)
B I G B R A I N :-))
what are two numbers that share a product of -24 and a sum of 5
[tex] - 3 \: and \: 8[/tex]
//
[tex] - 3 + 8 = 5[/tex]
[tex] - 3 \times 8 = - 24[/tex]
please help I have an hour to complete
Answer:
proportional
:)
PLEASE HELP! DUE SOON!
LC
instrucciones: Resuelve lo que se te pide.
Ana preparo unos dulces
chiclosos. A los rojos les puso 3
cucharadas de azúcar por
cada lltro de agua, y en los
verdes 5 de azúcar por cada
dos litros, ¿que dulces estan
mas concentrados?
Answer:
los verdesestan mas concentrados
espero te ayude
If the sales tax rate is 7.5% in New York State, then how much sales tax would you pay in Albany for a $34 pair of pants? What is the final cost?
Answer:
Sales Tax $2.55
Final Cost $36.55
Step-by-step explanation:
Finding sales tax
34 * 7.5%= 2.55
Multiply the tax with the original cost, that will be your sales tax
Finding final cost
34 + 2.55= 36.55
Add your sales tax with the original cost, now you have the final total
can anyone solve this
Answer:
Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)
=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)
=1+2sin A+1/cos A(1+sin A)
=2(1+sin A)/cos A(1+ sin A)
=2sec A
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction
= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]
= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]
= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator
= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator
= [tex]\frac{2}{cosA}[/tex]
= 2secA = right side, thus verified
If (2,-6) is rotated 90 degrees clockwise what would be the coordinates
Answer:
Step-by-step explanation:
Rotating (2,-6) 90 degrees results in (6,2)
Faith is organizing textbooks on her bookshelf. She has a Spanish textbook, a math
textbook, and a physics textbook. How many different ways can she line the textbooks
up on her bookshelf?
Answer:6
Step-by-step explanation: 3 *2*1=6
Answer:
6
Step-by-step explanation:
took test
3*2*1=6
A rectangular path 60m and 3m is covered with square tiles of 25 cm. How many tiles wil be used to cover the path ?
Answer:
2880 tiles
Step-by-step explanation:
A rectangular path has dimensions 60 m and 3 m.
Area of a rectangular path = length × breadth = 60 × 3 = 180 [tex]m^2[/tex]
Use [tex]1\,m^2=10000\,cm^2[/tex]
So,
Area of a rectangular path = 180(10000) = 18,00,000 [tex]cm^2[/tex]
Side of a square tile = 25 cm
Area of a square tile = side × side = 25(25) = 625 [tex]cm^2[/tex]
Number of square tiles = Area of a rectangular path ÷ Area of a square tile
= [tex]\frac{1800000}{625} =2880[/tex] tiles
What is the area of a parallelogram with a base of 14 feet and a height of 6 feet? Make sure you label your answer correctly too.
Answer:
84 Square Feet.
Step-by-step explanation:
In order to calculate the area of a parallelogram, just multiply base by height. So the area of this parallelogram is 14 x 6 = 84 Square Feet.
help me out. good points the image shows
Answer:
Solution given;
3-(7-3x)=2x+2
3-7+3x=2x+2
3x-2x=2+4
x=6 is your answer.
