Kotaro is sitting 30 feet high in a football stadium. The angle of depression to the center of the field is 14 degrees. What is the horizontal distance between Kotaro and the center of the field? Round to the nearest foot.
Answer:
217 feet
Step-by-step explanation:
tan(14) = x/30
=> x = 30tan(14)
=> x = 217 feet
Answer:
x = 7
Step-by-step explanation:
tan(14) = x/30
x = (30)tan(14)
x=7
On a coordinate plane, triangle G H J has points (1, 1), (4, 1), (4, 5). What is the area of triangle GHJ? 5 square units 6 square units 7 square units 12 square units
Answer:
B: 6 units
Step-by-step explanation:
just took the test
The area of triangle GHJ is 6 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the area of triangle GHJ, we can use the formula:
Area = (1/2) x base x height
where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.
We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.
In this case,
We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).
To find the height of the triangle,
We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.
Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.
Also,
The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.
The area of triangle GHJ is:
Area = (1/2) x base x height
Area = (1/2) x 3 x 4
Area = 6 square units
Thus,
The area of triangle GHJ is 6 square units.
Learn more about triangles here:
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Find the new price for the discount given. Round to the nearest cent if necessary $149.95 discounted 20%
Answer: 119.96
Step-by-step explanation:
PLEASE HELP NOWWWWWWWWWWWW
Answer:
25?
Step-by-step explanation:
The museum decided to showcase an amazing collection of glass figurines in 9 different rooms. The director of the exhibit plans to place the same number of figurines in the each room. What fraction of the collection will appear in 7 of the rooms?
Let there are x glass figurinesin room. as museum decided to showcase in total 9 different room as total number of glass figurines are:
[tex]9 \times x = 9x[/tex]
Determine the number of glass figurines in 7 rooms.
[tex]7 \times x = 7x[/tex]
The total collections is of 9x glass figurines.
In 7 rooms the collections appear is 7x.
Determine the fraction of collection that will appear in 7 rooms.
[tex] \frac{7x}{9x} = \frac{7}{9} [/tex]
So, the answer is 7/9.
Taking As x
_________
9 different room as total number of glass figurines are:
[tex]9 \times x = 9x[/tex]
The number of glass figurines in 7 rooms
[tex]7 \times x = 7x[/tex]
_________________
Total Collection Of 9 glasses figurines= 9x
7 room collection = 7x
_________________
Fraction of collection of 7 rooms by 9 glasses figurines
[tex] \huge \frac{7x}{9x} \\ \\ \\ \\ \huge = \frac{7}{9} [/tex]
So the fraction is [tex] \frac{7}{9}[/tex]
Hope This Helps You ❤️a class sold tickets to their school play. each of the 23 students in the class sold 4 tickets. the cost of each ticket was 7 $ how much money did the class earn by selling tickets to the play
Answer:
$234
Step-by-step explanation:
because they did.....
Answer:
$644
Step-by-step explanation:
1: 23 students times 4 tickets sold each student is 92 tickets sold in total
2: 92 tickets times 7$ per ticket is $644
Hope this helps :P
Plss I need this rnnn
Answer:
x= 65
Step-by-step explanation:
3x-15=180
add 15 both sides
3x= 195
divide by 3
x=65
To test the quality of its books, a printing press randomly picks a book from its press and then selects every twentieth book off the press for a half
hour. Which sampling method is used?
lottery method
random number table
stratified random sampling
systematic random sampling
Answer:
random number table
Step-by-step explanation:
but i dunno
The center of a circle is at (5, –4). A point on the circle is located at (12, –4). What is the approximate circumference of the circle?
Answer:
43.98 approximately
Step-by-step explanation:
radius = [tex]\sqrt{ (5 - 12)^{2} + (-4+4)^{2} }[/tex]
= [tex]\sqrt{(-7)^{2} + 0^{2} }[/tex]
= [tex]\sqrt{49} = 7[/tex]
diameter = 14
Circumference = diameter x pi
= 14π = 43.98 approximately
HELP I MARK BRAIN THING
Someone help me please !!!
The picture shows a dog park. 2 m 2 m 7m 8 m 8 m 2 m 2 m 7 m What is the area of the dog park? Enter the answer in the box. square meters
Answer:
38 sq meters
Step-by-step explanation:
find the circumference of the circle
Answer:
72.22
Step-by-step explanation:
Find the solution to the system
of equations.
2L of orange juice for $4.49 or 1L for $2.89. which one is the better buy?
Answer:
2L
Step-by-step explanation:
If you buy 2L with the price of 1L, it would be $5.78
the 2L.
4.49 divided by two is 2.25, which is how much that bottle of orange juice is worth per liter. the second one is 2.89 per liter, which is more expensive
numbers between -3 and -2
Step-by-step explanation:
-3/1 and -2/1
-3/2×2/2 and -2/1 ×2/2
number is -5/2
Abbie is 5 years older than twice her sister’s age. Abbie is 25 years old. Which
equation can be used to find her sister’s age?
write an exponential expression showing organism B’d increase in population over the same 8 days
Answer:
the answer is 5^2
Step-by-step explanation:
HELP ASAPPP! I WILL GIVE BRAINLEST TO THE RIGHT PERSON
Answer:
E and H are the correct answers
Step-by-step explanation:
Easy to Find, a computer data base, charges $30/h during peak hours to access its records. The charge during off-peak hours is
$12/h. Indigo Research was billed $876.00 last month fc
hours charged for usage during peak times.
40 hours of access time. Using a system of equations, find the number of hours charged for usage during peak time
A graph of a line has an x-intercept of 4
and a y-intercept of 6. Which equation
represents the line?
A 3x - 2y = 8
B 2x - 3y = -10
C 3x + 2y = 12
D 2x + 3y = 26
thank you!:)
Please help me find the surface area:)
Answer:
48 im 100 percent sure
Answer: 48 hope this helps!!
someone please help me omg i am so lost and this is due tonight
Answer:
45
Step-by-step explanation:
105+30 = 135
180-135= 45
:')
Which equation represents a line that passes through the points (7,5) and (6, 1)?
the slope of the line is 4
What is 2(12)3/2 in its simplest form
Answer:
Hi! The answer to your question is 36
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Hey there!
2(12)3/2
= 2(12)(3/2)
= 24(3/2)
= 24/1 * 3/2
= 24(3) / 1(2)
= 24 + 24 + 24 / 1 + 1
= 48 + 24 / 2
= 72 / 2
= 72 ÷ 2 / 2 ÷ 2
= 36 / 1
= 36 ÷ 1
= 36
Therefore, your answer is: 36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the percent of change from 78 to 100
Help me please! Will mark brainlist!
Answer:
B...................
The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest interest rate.
Answer:
Interest rate = 2.41%
Step-by-step explanation:
The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.
The formula to calculate the Interest rate for a Compound Interest is given as:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 12 × [(305.33/240.00)^1/(12)(10) - 1]
r = 0.0240996
Then convert r to R as a percentage
R = r * 100
R = 0.0240996 * 100
R = 2.41%/year
Therefore, the Interest rate = 2.41%
What is the area, in square inches, of the shaded part of the rectangle below?
Answer:35
Step-by-step explanation:
Help me with this problem please:)
