Answer:
5.5
7.5 =
h
23.5
7.5h = 129.25
h = 17.2
3
The flagpole is 17.2 feet long.
The measure of height of flagpole is 40.25 feet.
Given that, a flagpole casts a shadow that is 23 feet long.
What are heights and distances?Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.
Jorge is 5.25 feet tall, and while standing near the flagpole he casts a shadow that is 3 feet long.
Let the height of the flagpole be x.
Now, tan θ=5.25/3 -------(I)
and tan θ=x/23 -------(II)
Equation (I)=(II), we get
5.25/3 = x/23
⇒ 3x=5.25×23
⇒ 3x=120.75
⇒ x=120.75/3
⇒ x=40.25 feet
Therefore, the measure of height of flagpole is 40.25 feet.
To learn more about the heights and distance visit:
brainly.com/question/24271007.
#SPJ2
A set of four postcards costs $1.00. Single postcards cost $0.50. What is the least amount of money you
can spend to buy exactly 15 postcards?
Answer: 3 Sets of the 4 post cards and 3 of the single post cart sets.
Step-by-step explanation:
You buy 3 of the 4 post card set becuase that is the most you can get of those to get under 15 post cards.
You would now have 12 postcards now you have to buy 3 of the single set to get to 15 cards
Find the solution to 2/3x = -24
Answer:
x=-36
Step-by-step explanation:
determine the following
Answer:
function
Step-by-step explanation:
y = 6x^2 +x+7
This is an upward facing parabola
This relation will pass the vertical line test.
This relation is a function
Find a linear equation to solve for the following unknown quantities: One number is three more than twice another number. If the sum of the two numbers is 36, what are the numbers?
insusiri pentru raze calde
Witch expression is not equivalent to -3x-1/2+4y
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 3.3 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
EF = 3.3 ft
Step-by-step explanation:
cos 6 = 3.3/EF
0.9945 = 3.3/EF
EF = 3.32 ft
Answer! If you are a bot don't even answer the question
Answer:
(x-30)/(3x-10)
Step-by-step explanation:
[tex] \frac{(x + 3)(x - 30)}{(x + 3)(3x - 10)} = \\ \frac{x - 30}{3x - 10} [/tex]
Someone pls HELP RN IM IN A HURRY
BC AB AC
Step-by-step explanation:
the longer the side is visually detected ok
List the key features of the quadratic function y = –x2 + 4x – 3.
The key features of the quadratic function are
vertex is (2, 1)Axis of symmetry: x = 2The domain of the function is the set of all real valuesDetermining the key features of the quadratic functionFrom the question, we have the following parameters that can be used in our computation:
y = -x² + 4x - 3
A quadratic function is represented as
y = ax² + bx + c
By comapring the equations, we have
a = -1, b = 4 and c = -3
For the key features
Axis of symmetry: x = -b/2a
So, we have
x = -4/(2 * -1)
x = 2
The domain of the function is the set of all real values
For the vertex, we have
(h, k) = (symmetry, f(symmetry))
So, we have
y = -2² + 4(2) - 3
y = 1
So, the vertex is (2, 1)
Read more about quadratic equation at
brainly.com/question/1214333
#SPJ1
Pls HELP THANKS
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number.
Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the
situation? Check all that apply.
X equals 1/2 Y -3
2X minus Y equals -6
2X minus Y equals -3
X equals 1/2 ( Y -3)
Y equals 10 (X -1)
Answer:
Step-by-step explanation:
A population of 250 wild turkeys decreases by 2.2% per year. At the end of 8 years, there will be approximately 209 turkeys in the population. Which function can be used to determine the number of turkeys, y, in this population at the end of t years?
Answer:
b
Step-by-step explanation:
HELP PLEASE THANK U
Find the interest on $4,000 at 3% for 4 months.
Answer:
$80 interest will be owed for 4 months
Step-by-step explanation:
P is the principal amount, $4000.00.
r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.
t is the time involved, 3....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.25....year time periods.
To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that:
My friend didn’t do this and he got another question ASAP
Answer: B.) I and II
Step-by-step explanation: remember doing this in like- middle school so you're welcome! it should be the right answer(:
If 2 is the arithmetic mean of 1-2x and
3x then the value of x is
Answer:
x = 3
Step-by-step explanation:
Since, 2 is the arithmetic mean of 1-2x and 3x.
Therefore,
[tex] \frac{1 - 2x + 3x}{2} = 2 \\ \\ \frac{1 + x}{2} = 2 \\ \\ 1 + x = 4 \\ \\ x = 4 - 1 \\ \\ x = 3[/tex]
Find x. Please help i’m really struggling
Answer:
35 degrees
Step-by-step explanation:
the 35 degrees in blue and the orange x angle are corresponding angles
I need help with this problem anyone know?
Answer:
i think you cn use frction
ANSWER CHOICES
a. y=6
b. x=2
c. y=4
d. x=0
Answer:
y=4
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation
x=2 is where you could fold the quadratic function and have the sides overlap perfectly
HELP THIS IS DUE IN 10 MINUTES!!!!!! Which ratio defines te whenr represents radius, and d represents diameter?
22
d
27
d
2пт
Ο Ο.
2r
d
Answer:
2πr/d
Step-by-step explanation:
Circumference = 2πr
Pi = circumference/diameter
=2πr/d
what are the roots of the equation 3x^2 =7x+2
Answer:
Hope this helps!!!! ;)
Step-by-step explanation:
Michael has $1,000.95 in his checking account. He is going to spend $472.87 on a new television, and he will spend the rest on speakers that cost $48.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$1,000.95 < $48.00x + $1,000.95
B.
$472.87 + $48.00 + x < $1,000.95
C.
$48.00x + $472.87 < $1,000.95
D.
$1,000.95 + $472.87 > $48.00 + x
Answer:
C bc 48 is the cost of sneakers, x is the number of sneakers, that plus the tv has to be less than 1000.95
Gustavo also went to the same store and has a 30% off
coupon. He bought a hoodie and saved $8.10 after
using the coupon. What is the original price of the
hoodie?
Answer:
Original Price was $27.00
Step-by-step explanation:
27*.30=8.10
María vende pescado en el mercado modelo ella le ha prestado dinero a Juan 800 soles con el 10% al mes Así mismo le ha prestado dinero a Juana la cantidad de 12000 soles con el 10% al mes cuánto ganará María por los dos préstamos al mes
Answer:
Creo que $1,280
Step-by-step explanation:
12,000+800=12,800
12,800 x 10% =1,280
Please help I need help
Answer:
3
Step-by-step explanation:
just get everything but the h to the other side
divide by b1 + b2
1/2h = A/b1 + b2
then multiply by 2
h = 2A/b1 + b2
The probability of an event under the uniform distribution - random permutations. A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Celia and Felicity. Give an expression for each of the probabilities below as a function of n. Simplify your final expression as much as possible so that your answer does not include any expressions of the form (ab)(ab).
(a) What is the probability that Celia is first in line?
(b) What is the probability that Celia is first in line and Felicity is last in line?
(c) What is the probability that Celia and Felicity are next to each other in the line?
Answer:
a)
the probability that Celia is first in line is 1/n.
b)
the probability that Celia is first in line and Felicity is last in line is 1/n(n-1)
c)
the probability that Celia and Felicity are next to each other in the line is 2/n
Step-by-step explanation:
Given the data in question;
a) Celia is first in line?
the total ways are; n! to place n kids in n places in orderly fashion.
now, if Celia is the first kid, we have to order remaining n-1 kids
(n-1)! / n! = 1/n
therefore, the required probability is 1/n.
b) Celia is first in line and Felicity is last in line?
the total ways are; n! to place n kids in n places in orderly fashion,
now, if Celia is the first and Felicity is the last kid, we order the remaining n - 2 kids, which can be done in (n-2)!
(n-2)! / n! = 1 / n(n-1)
therefore, the required probability is 1 / n(n-1)
c) Celia and Felicity are next to each other in the line
the total ways are; n! to place n kids in n places in orderly fashion,
now, if Celia and Felicity as single object, so that they can be put together, we arrange n-1 objects which can be done in (n-1)! ways.
But also these 2 can change the place so in total there are 2(n-1)! ways.
2(n-1)! / n! = 2/n
Therefore, the required probability is 2/n
Find a solution to the linear equation y=-2x – 12 by filling in the boxes with a valid value of x and y.
Answer: y= 4
x = 8
Step-by-step explanation:
what is the GCF of 12a and 16ab
Answer:
4a
Step-by-step explanation:
Greatest Common Factor is the largest number that the two terms can be divided by
The largest number that these could be divided by is 4a
12a/4a=3
16ab/4a=4b
4a(3+4b)
what is the answer to this math question 5 less than c is 47
Answer:
Answer = 52
5+47= 52
done
The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number? A. 8 in.B. 9 in.C. 12 in.D. 80 in.
Answer:
B=9in
Step-by-step explanation:
To find the solution to this problem we will use the Pythagoras theorem.
[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]
Answer:
your answer would be 9 in.
Step-by-step explanation:
I hope this makes your day a bit easier!!