TS is the height of a building. PQR is a pole in front of the building. QT is a horizontal cable that supports the pole to the building. Find the height of the pole?
Answers
Answer:
The answer is 65.75
Step-by-step explanation:
Since tq is perpendicular to PR then qtsr becomes square
Then
[tex]qr = 30 \: \: \: \: \: and \: qt = 30 \\ [/tex]
Since the triangle pqt is right angled
Then
[tex]pq = qt \tan(50) = 30 \times \tan(50 ) = 35.75[/tex]
Then the height of the pole is equal to
[tex]pq + qr = 35.75 + 30 = 65.75[/tex]
Related Questions
An international company has 23,200 employees in one country. If this represents 26.7% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.
Answers
Answer:
Total number of employees = 86,891 employees
Step-by-step explanation:
Let
x = total number of employees
26.7% of x = 23,200
26.7/100 * x = 23,200
0.267 * x = 23,200
0.267x = 23,200
x = 23,200/0.267
x = 86,891.385767790
approximately 86,891 employees
Total number of employees = 86,891 employees
WILL MARK BRAINLIEST
Which of the following are independent events?
randomly choosing a marble from a bag, replacing it, and choosing again reaching into your pocket and pulling out two dimes out of 20 coins
drawing a number from a hat, not replacing it, and then drawing a second number
rolling a number cube, rolling again, and trying to match the first roll
Answers
Answer:
randomly choosing a marble from a bag, replacing it, and choosing again
rolling a number cube, rolling again, and trying to match the first roll
Explanation:
In an independent event, getting a certain outcome once does not change the probability of getting the same outcome again.
The second option (about the coins) is NOT independent because if you pull out a dime on your first try, there are fewer dimes in your pocket and you are less likely to pull out a dime the second try. The third option (about drawing a number) is also NOT independent for the same reason: you don't put the number back into the hat after drawing it out, so there's fewer numbers the second time and the probability is different.
f(x) = 5x2 + 4x – 6
g(x) = 3x2 – 9
Answers
Answer:
f=5x2+4x−6
g=3x2−9
One month Sam rented 3 movies and 8 video games for a total of $55 . The next month he rented 5 movies and 2 video games for a total of $18 . Find the rental cost for each movie and each video game.
Answers
Answer:
Step-by-step explanation:
You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.
The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:
3M + 8V = 55
The second month: 5 movies, 2 video games, $18. Translated:
5M + 2V = 18
Solve that system of equations
Amaka buys 4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils. If a pencil cost #8, how much does a ruler cost?
Answers
Answer: ruler cost $12
Step-by-step explanation:
step 1
Let cost of ruler be represented as r
and cost of pencil be represented as p
we were given that
4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as
4r + p = 2r+ 4p
and cost of pencil= $8
therefore
sTEP 2--- Solving
4r+ 8 = 2r+ 4 x8
4r+ 8 = 2r+ 32
4r - 2r= 32-8
2r= 24
r= 24/2 = r= $12
6x7
88x10
11x44
34x23
78x39
Answers
Answer:
does it matter?
Step-by-step explanation:
Fifteen more than twice a number is -23.
Answers
Answer:
-19
Step-by-step explanation:
2x+15=-23
2x=-23-15
2x=-38
x=-19
PLEASEEEEEEEEEEEE HELPPPPPO
Answers
Answer:
C
Step-by-step explanation:
Answer:
The change in degrees fahernheit for every change in degrees celsius
Step-by-step explanation:
This is because it demonstrates the change of temperature in degrees fahrenheit for a change in degrees celsius. E.g - when the temperature in degrees celsius is 1 then in fahrenheit it becomes 34.
HOPE THIS HELPED
please help me 4t−t+2
Answers
Answer:
The answer is 3t + 2
Step-by-step explanation:
Subtract t from 4t.
hoped this helped!
brainly, please?
P and Q form a linear pair if m P=(7x-4) and m Q =(2x-5) find the measure of each angle
Answers
Answer:
Answer:
Angle P = 143º
Angle Q = 37º
Step-by-step explanation:
Linear pair means the angles add up to 180º
So, using this, set up the equation: 7x - 4 + 2x - 5 = 180
Combine Like Terms
9x - 9 = 180
Add on both sides
9x = 189
Divide
189/9 = 21
Substitute 21 for x
Angle P: 7(21) - 4
Angle Q: 2(21) - 5
Step-by-step explanation:
What is the area of the squares? The problems are in the picture below. 15 points!!!
Answers
Answer:
Top Left= 40yd²
Top Right= 441yd²
Bottom Left= 21ft²
Bottom Right= 105ft²
Step-by-step explanation:
Top left- 10×4= 40
Top right- 21×21= 441
Bottom right- 7×3= 21
Bottom left- 15×7=105
Determine a series of transformations that would map Figure N onto Figure O
Answers
Answer:
Reflect over x-axis. Then translate up 5 units.
The Grand Old Duke of York had 10 000 men. He lost 10% of them on way to the top of
the hill, and he lost 15% of the rest as he marched them back down the hill.
What percentage of the 10 000 men were still there when they reached the bottom of
the hill?
Answers
Answer:
76.5%
Step-by-step explanation:
He lost 10% of them on way to the top of the hill
10% of 10,000 men
= 0.1 * 10,000
= 1,000 men
Remaining men = 10,000 - 1,000
= 9,000 men
15% of the rest as he marched them back down the hill.
15% of 9,000 men
= 0.15 × 9000
= 1,350 men
Total men remaining = 9000 - 1,350
= 7,650 men
% remaining =
x% of 10000 men = 7,650
x/100 * 10,000 = 7,650
Cross product
10,000x =7,650 * 100
10,000x = 765,000
x = 765,000/10,000
= 76.5%
x = 76.5%
2x≥12
I can't figure this out
Answers
Answer:
[tex]x \geq 6[/tex]
Step-by-step explanation:
You can start by dividing both sides by 2, getting [tex]x \geq 6[/tex].
Answer:
:(
Step-by-step explanation:
3y+3=39 urgenttt pleaseee fasttt helppp
Answers
3y=39-3
3y=36
y=12
Find CD if AE=8, ED=4, and BE=6.
Answers
Answer:
The ratio of the two triangles is 8:12.
So BE:CD=2:3
6/CD=2/3
2CD=18
CD=9
Step-by-step explanation:
x less than or equal to negative 7
Answers
Answer:
-11
Step-by-step explanation:
A table decreased in price by . After the reduction it was priced at £13. What was the original
price of the table?
Answers
Answer: 19 or 20 $
Step-by-step explanation:
]Daniel has 4 paintbrushes. Miguel has 6 times as many paintbrushes.
Drag packs of paintbrushes to the box to show the number of paintbrushes that Miguel has.
Answers
Answer:
he as 10 paintbrishes in hes box
Andrew is starting his own snow plowing business. Andrew has calculated that he needs to earn $500 per week to support his family. If he knows he will only be able to work 50 hours per week, what is the minimum amount of dollars per hour that he will need to charge his customers?
Answers
Answer:Ten dollars per hour
Step-by-step explanation:
50 hour =500 dollars
1 hour = ?
Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.
?=(1 hour×500 dollars)/50 hour
?= 500 dollars/50
?=10 dollars per hour
Answer:
$10
Step-by-step explanation:
$500/50= 10
He needs to earn $10 an hour x the 50 hours = $500
Find the area of the shape below?
Answers
Answer:
8,910
Step-by-step explanation:
i just multiplied all the sides
and i got 8,910
Answer:
105 cm²
Step-by-step explanation:
The shape is composed of a rectangle and a triangle on the right side
area of rectangle = 15 × 6 = 90 cm²
The triangle has dimensions , base = (15 - 9) = 6 cm and height = (11 - 6) = 5 cm
area of triangle = [tex]\frac{1}{2}[/tex] × 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
The soccer club has planned a trip to a tournament. The cost of the van is
$231. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $4.50. How many soccer club
members are going to the tournament?
O A. -14, 11
B. 11
C. -14
D. 14
Answers
Answer:
d
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A school club purchases sandwiches and pretzels for a lunch. Each sandwich costs $4.25 and each bag of pretzels costs $0.75. A total of 48 items (sandwiches and pretzels) were purchased for a total cost of $175. If s = the number of sandwiches and p = the number of pretzels, which system represents this situation?
Answers
Answer:
A is the correct answer
Step-by-step explanation:
A family of 10 that all leave the house at the same time each morning has two bathrooms. They must share for everyone to be ready. Time is allotted to each family based on age. Is this apportionment or not apportionment?
Answers
Answer:
Not apportionment
Step-by-step explanation:
Apportionment can be described as a way of sharing out or dividing out in the best fair method.
If a family of 10 leave the house at the same time and have to share just two bathrooms, the time allocation should not be based on age rather should be based on how early each person wakes up in the morning.
Pls Help I hate math
Answers
Answer:
b
Step-by-step explanation:
to find the volume of the figure you have to multiply the with times the length times the height
2x12x9=216
Edgar is playing a game where he draws three cards and finds the sum of
the values shown. If the sum is greater than 10, Edgar wins. Determine if
the sum of his cards shown below is greater or less than 10?
Answers
Answer:
The answer is greater than 10.
Step-by-step explanation:
Students at Garcia Middle School took a survey about their favorite school.The results showed that 182 students rated pizza as their favorite food. This number represented 68% of the number of students who took the survey.What was the total number of students that took the survey?
Answers
Answer:
267.64 students
Step-by-step explanation:
Let the total number of students that took the survey be represented as x
This number represented 68% of the number of students who took the survey.
The results showed that 182 students rated pizza as their favorite food.
Therefore:
68% × x = 182 Students
68/100 × x = 182
68x/100 = 182
Cross Multiply
68x = 182 × 100
x = 182 × 100/68
x= 267.64705882 students
Therefore, the total number of students that took the survey is Approximately 267. 64 students
helpppppppp i'm literally starting to think i need a tutor
Answers
Answer:
x = 55
Step-by-step explanation:
Here, we want to get the value of x
From the diagram , we can see that we have a right- triangle
and thus,
x + 35 = 90
x = 90-35
x = 55
3. Rectangle J is 6 feet wide and 9 feet long.
Rectangle K is 9 feet wide and 12 feet long.
Are the rectangles similar? Explain.
Answers
Answer:
No it's not!
Step-by-step explanation:
because the length (long) of J and K are totally different whereas the breadth(width) of J and K is also different which does make similar in sense
anyone wanna help a failing student
Answers
Answer:
the answer is D brainliest please
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Brenda's bottles = B
Cindy's bottles = C
Brenda's bottles is twice Cindy's bottles and 5 more
B = 2C + 5
Therefore, D