Answer:
The distance between the buildings is:
D = 413.3 ft
Step-by-step explanation:
Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.
One of the triangles, let's call it triangle A, has the catheti:
Distance between Dale and Building A = d1
Height of Building A = 464 ft
The other triangle (triangle B) has the catheti:
Distance between Dale and Building B = d2
Height of building B = 321ft
We want to find the distance between the buildings, which is equal to d1 + d2.
Then we want to find d1 and d2.
For triangle A:
We know that the angle at the vertex where Dale is standing, is 75°
Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.
Remember that:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
Then:
Tan(75°) = (464 ft)/(d1)
d1 = (464 ft)/(Tan(75°)) = 124.3 ft
Now for triangle B, the angle at the vertex where Dale is standing is 48°.
from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.
Then:
Tan(48°) = 321ft/d2
d2 = (321ft)/(Tan(48°)) = 289ft
Then the distance between the buildings is:
D = d1 + d2 = 124.3 ft + 289ft = 413.3 ft
Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?
Answer:
$0.71
Step-by-step explanation:
9.99 + (3% of 9.99) = 10.2897
11 - 10.2897 = 0.7103, so $0.7103 is our answer. However, this isn't a real amount of money that can be handed from a clerk to a customer. So, we will round it to the nearest cent, bringing us to $0.71, our final answer.
What do you think you do well in math? What do you think you could improve upon?
Answer:
i can improve my listening and focus a lot more
Step-by-step explanation:
Help!!! Algebra 2
:( Due in 7Mins
Answer
d
Step-by-step explanation: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*.
Leon made cookies.
He used 7/10 of a cup of flour and 1/2 of a cup of sugar.
Q. How much
more flour than sugar did Leon use?
Answer:
1/5 or .20 or 20% (same answer in different formats!)
Step-by-step explanation:
Subtract 1/2 from 7/10
make the denominators the same, so 7/10 - 5/10. You get 2/10 or 1/5.
Susan and Sarah love to play their favorite frivia
video game. Susan has a total score of 87,325
points. Sarah has a total score of 46,175. How
many times larger is the 7 in Susan's score than
Sarah's score?
Answer:
please l don't understand
There is a rectangular path for running in Kaylee's town. She runs around the path everyday. one side of the path is 5 1/2 kilometers long. Another sode is 3 1/2 kilometers long.
Answer:
3.45
Step-by-step explanation:
calculator
Answer:
16.8 km
Step-by-step explanation:
Perimeter is the sum of all sides.
For a rectangle , perimeter = lenght + lenght + base + base
Perimeter = 5.2 + 5.2 + 3.2 + 3.2
Perimeter = 16.8 km
What is the slope of the line?
x+ 3y = 10
Answer:
-1/3
Step-by-step explanation:
Answer:
-1/3
Step-by-step explanation:
Hi,
x + 3y = 10
3y = 10 - x
y = -1/3x + 10/3
Your slope is -1/3
I hope this helps :)
What equation is equivalent to 9^x - 3 = 729?
Answer: 9^(x-3) = 9^3
Step-by-step explanation:
Realizing that 729 = 9^3, we can rewrite the equation ...
9^(x -3) = 729
as ...
9^(x -3) = 9^3 . . . . . . matches the second selection
__
Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.
(3^2)^(x -3) = (3^2)^3
3^(2x-6) = 3^6
or, taking the square root, ...
3^(x -3) = 3^3
None of these forms match any answer choices.
_____
The solution will be found by matching exponents:
x -3 = 3
x = 6
Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?
Answer:
31
Step-by-step explanation:
2 out of 35 are chess club members.
The fraction of chess club members in the survey is 2/35.
Now we find 2/35 of 550.
2/35 * 550 = 1100/35 = 31.43
Answer: 31
If there are 550 students at her school, then there are 31 chess club members in the entire school.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
If Carmen surveyed a random sample of 35 students and found that 2 are chess club members.
We can set up a proportion to solve for this:
2/35 = x/550
where x is the number of chess club members in the entire school.
To solve for x, we can cross-multiply and simplify:
2 × 550 = 35 × x
1100 = 35x
Divide both sides by 35.
x = 1100/35
x ≈ 31.43
Therefore, we can estimate that there are approximately 31 chess club members in the entire school.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
The sum of two numbers is 90. The difference of the two numbers is 34. What are the two numbers.
Answer:
part a: 45
part b: 102 and 68
Step-by-step explanation:
ANSWER THE QUESTION FOR BRAINLIEST
Tools -
Question 10
Steven fosses a fair coin 100 times. The coin lands on heads 57 times and tails 43 times.
What is the probability and relative frequency of the coin landing on heads?
A
The probability is 50% and the relative frequency 43%
B
The probability is 50% and the relative frequency 57%
The probability is 43% and the relative frequency 50%.
D
The probability is 57% and the relative frequency 50%.
Answer: D
Step-by-step explanation:
The probability of the coin landing on heads is 50% and the relative frequency of the coin landing on heads is 57%
The probability of the coin landing on headsThe sample space of a coin is:
S = {Head, Tail}
The sample size is:
n(S) = 2
The probability of the coin landing on heads is calculated as:
P(Head) = n(Head)/n(S)
So, we have:
P(Head) = 1/2
Express as percentage
P(Head) = 50%
Hence, the probability of the coin landing on heads is 50%
The relative frequency of the coin landing on headsFrom the question, we have:
Toss = 100
Head = 57
The relative frequency of the coin landing on heads is calculated as:
Frequency = 57/100
Express as percentage
Frequency = 57%
Hence, the relative frequency of the coin landing on heads is 57%
Read more about probability at:
https://brainly.com/question/251701
help me..........................
Answer:
5 zeros
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
There are 5 zeroes in the multiple of ten
The bedroom and office in the diagrams below are similar rectangles. The walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional. How long is the missing wall of the office (shown in red below)?
Answer:
D. 16.8
Step-by-step explanation:
The missing wall of the office would be; 16.8 feet long.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that bedroom and office in the diagrams below are similar rectangles.
It is given that the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.
Threfore, we get;
x/10 = 14 /12
Solving;
x = 14/12 (10)
x = 16.8
Hence, the value of the missing wall x is 16.8 feet.
More can be learned about proportions at;
brainly.com/question/24372153
#SPJ3
Help me with this question
Answer:
0.45
Step-by-step explanation:
45/100
1/100 = 0.01
0.01 * 45 = 0.45
Franklin bought a book with 90 pages. If he
reads 54 of the pages on the first night, what
percent of the book has he read?
A. 60%
B. 30%
C. 55%
D. 75%
Which expression is not equivalent to
4^7/4^10
Answer:
4³
Step-by-step explanation:
{(2)²}⁷/{(2)²}¹⁰
2¹⁴/ 2²⁰
Using property...
2¹⁴-²⁰= 2-⁶
Hence....
(-2)×(-2)×(-2)×(-2)×(-2)×(-2)= 64
So...
64=4³
hope it helps
Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?
A. 0.89
B. 1.6
C. 3.84
D. 3.9
Answer:
0.89
Step-by-step explanation:
Trust
What is the lateral area of the cone?
Solve for x
|x-7|=x-7
Your car uses 15 1/2 gallons of gasoline on a 310 mile trip
Which equation represents the table of values
Answer:where the equations
Step-by-step explanation:
Please help, test due in 1 hour! I will give brainliest!
Answer:
Soooooo, for Part A I got answer choice D.
I didn't want to overthink it like I normally do with everything else in life so i was like, there are 3 boxes on the side and 4 boxes on the bottom, so 3 times 4= 12.
Now i know that the area of the neighborhood is 12 blocks and 20 blocks equals a mile. 12 is obviously not 20, twelve is actually a little bit over half of twenty or .50%, so the best answer would be D.60%.
Now part B, i dont know bout all that, I can only give you half an answer. Copped out at the mention of the word Density XD. Hope that first part helped tho.
PLEASE HURRY
A number cube will be rolled 100 times as part of an experiment. Which calculation would you use to predict the number of times a 4 will be rolled?
Answer:
C. (100)(1/6)
Step-by-step explanation:
This is based on the "number cube" being a regular 6-sided die. You have a 1 out of 6 chance of rolling a 4 each time you roll the die. So that chance times 100 rolls is your answer.
Bob wants to buy a car. He puts $8,000 in a savings account that has a
simple interest rate of 4%. If he leaves his money in the account for 3
years, how will be in his account in TOTAL after 3 years?"
A-$960
B-8,960
C-7,040
D-$320
9514 1404 393
Answer:
B. $8,960
Step-by-step explanation:
Use your number sense.
If the account earns interest, the balance will increase from the initial deposit of $8000. The only sensible answer choice is B, $8960.
__
If you want to actually figure it out, the balance is given by ...
A = P(1 +rt)
A = 8000(1 +0.04·3) = 8000(1.12) = 8960 . . . . matches choice B
A cone and a cylinder have the same radius and height What would you need to do to the volume of the cone to find the volume of the cylinder? Multiply by 3 Divide by 3?
Find the area of the figure.
Answer:
25
Step-by-step explanation:
A student wanted to use toilet paper to show the distance of one Astronomical Unit, or the distance from the Sun to Earth. They decided
to use a scale factor of 1 square of toilet paper = 100,000 km.
How many rolls of toilet paper will the student need, if each roll of toilet paper has 500 squares?
Answer:3
Step-by-step explanation:
A elevator has a maximum of capacity of 500 pounds. if the luggage weighs 200 pounds, what is the the maximum weight allowable for passenger(p)
Answer:
300 pound you know because 500 -200
ez
Step-by-step explanation:
Help me please I can’t figure it out!
Answer:
vv
Step-by-step explanation:
10.1(3) + 9.5(4) = 30.3 + 38.0
= 68.3
