In the problem, we were asked to compute for the height of the pyramid. Given are the base of the pyramid which is 82 m and the angle of 52°.
If given an illustration, the height is opposite to the angle and the adjacent side is given by half the base.
Based on the mnemonics of trigonometry (SOH CAH TOA), the function to be used is tangent.
The computation is as follows:
Let h = height of pyramid (m)
tan52 = h/41
h = 41tan52
h ≈ 52.5 m
Hence, the height of the pyramid is approximately 52.5.
However, the closest answer based on the choices you provided is 52 m.
How much would Kendra have in her account after three years if she started with $500 and earned 2 percent interest compounding annually?
Answer:530.6
Step-by-step explanation:
What is the simplest form of root 3.025
Probabilities are between 0 and 1. A probability of 0 means that an event occur or that it is for the event to occur. If it is unlikely that the event will occur, then the probability of that event is . If it is equally likely that the event will occur or that the event will not occur, then the probability is . If it is very likely that the event will occur, then the probability of that event is . If the event will definitely occur, then the probability of that event is . A sample space has probability when all of the possible outcomes of the sample space have probabilities.
closer to zero equal to one impossible real numbers one-half will not closer to one uniform equal
Final answer:
Probability measures the likelihood of an event occurring, with values between 0 (impossible) to 1 (certain). A probability closer to 0 implies unlikeliness, one-half means equal likelihood, and closer to 1 suggests high likelihood. The probabilities in a uniform sample space are equal for all outcomes.
Explanation:
Probabilities are mathematical measures between 0 and 1. A probability of 0 means an event will not occur, or it is impossible for the event to happen. Conversely, if the probability is equal to one, it means the event will definitely happen. When it's unlikely that the event will occur, the probability is closer to zero. If there's an equal chance the event will occur or not, the probability is one-half (0.5). For events that are very likely to occur, the probability is closer to one. A sample space is considered uniform when all the possible outcomes have equal probabilities.
To calculate the probability of an event A in a uniform sample space, count the number of outcomes for event A and divide by the total number of outcomes in the sample space. This is the theoretical probability of A. For example, when tossing a fair coin, there is an equal likelihood of landing on heads or tails, which are mutually exclusive events, each with a probability of 0.5, and together they form the sample space with a total probability of 1.
William works at a nearby electronics store. He makes a commission of 6 % 6%6, percent on everything he sells. If he sells a computer for $ 7 6 4 . 0 0 $764.00dollar sign, 764, point, 00, how much money does William make in commission?
Answer:
x = 45.84 $
late but i need points
Step-by-step explanation:
During a basketball game, the East Middle School Tigers scored 42 points from two-point baskets. How many two-point baskets did they make?
84
14
21
42
Answer:
21 two point basket.
Step-by-step explanation:
It is given that During a basketball game, the East Middle School Tigers scored 42 points from two-point baskets. It means
Total score = 42 points
Score for each basket = 2 point
Let total number of two-point baskets be x. So,
Total score = 2x points.
[tex]2x=42[/tex]
Divide both sides by 2.
[tex]\dfrac{2x}{2}=\dfrac{42}{2}[/tex]
[tex]x=21[/tex]
Hence, they make 21 two point basket.
Does 6(x+2)>x-3 have a solution
Solve by factoring 4x^2+16x+12=0
Check my answers please?
1. What are the first five terms of the sequence given by the formula a_n=6n+1
a. 7,13,19,25,31
b.1,7,13,19,25
c. 6,12,18,24,30 <---
d.13,19,25,31,37
3. Write an explicit definition for the sequence -3, 1, 5, 9,...
a. a_n=-3+4(n-1)
b. a_n=-3+ 4n <---
c. a_n= -3+(n-1)
d. a_n= -3+4(n+1)
7. what is the 12th term of the sequence 20,16,12,...
a. -30
b. -20
c. -28
d. -24 <----
8. Find the missing term of the arithmetic sequence 20, __, 32,...
a.42
b.18
c.34 <----
d. 36
10. what is the 10th term of the sequences 625,125,25,...
a. 1/3,125
b. 1/
Based on the given information, choose the abbreviation of the postulate that supports the conclusion that ΔWAS ΔNOT.
AHH! HELP!!
If the conclusion cannot be drawn from the given information, then choose "not possible."
Given:
WS = NT, AS = OT, S = T.
In a statistics class there are 11 juniors and 6 seniors; 2 of the seniors are females; 6 of the juniors are males. if a student is selected at random, what is the probability that the student is either a junior or a female?
enter your answer as a fully reduced fraction.
Answer: [tex]\dfrac{13}{17}[/tex]
Step-by-step explanation:
Given: Number of juniors = n(J)= 11
Number of seniors = 6
Total students n(S)=[tex]11+6=17[/tex]
Number of seniors are which are females =2
Number of juniors are which are males =6
Then, number of juniors which are females = [tex]11-6=5[/tex]
Now, total females n(F)=[tex]2+5=7[/tex]
such that number of juniors which are females n(J∩F) = [tex]5[/tex]
Now, the number of students either a junior or a female is given by :_
[tex]n(J\cup F)=n(J)+n(F)-n(J\cap F)\\\\\Rightarrow n(J\cup F)=11+7-5=13[/tex]
Now, the probability that the student is either a junior or a female is given by :-
[tex]P(J\cup F)=\dfrac{n(J\cup F)}{n(S)}=\dfrac{13}{17}[/tex]
you owe $1,945.61 on a credit card that has an 11.2% APR. the minimum payment due is $156.00. you decide to pay $300.00. how much do you save in interest by paying more than the minimum, assuming you make both payments at the beginning of the month?
$,
Answer:
$1.344
Step-by-step explanation:
APR represents annual percentage rate, and it specifies the amount of interest that would accrue on a loan over a specified period.
Extra amount paid = $300 - $156 = $144
Annual interest that would have been paid on the extra $144 = $144 * 11.2/100= $16.128
this amount on monthly basis is $16.128/12 = $1.344
I need help with this one
Which calculation can be used to find the value of y in the equation y^3 = 27?
y equals 27/3
y equals cube root of 27
y equals square root of 27 divided by 3
y equals square root of 27
If 1 Chinese yuan equals 0.1558 U.S. dollars, then 1 U.S. dollar equals approximately how many Chinese yuan?
A. 0.4185
B. 0.1558
C. 6.1558
D. 6.4185
Answer:
1 U.S. dollar equals 6.4185 Chinese yuans. The correct answer is D.
Step-by-step explanation:
- The first step is to get a fraction between the currencies. The fraction is obtained by dividing the 1 yuan by 0.1558 U.S. dollars.
[tex]fraction=\frac{1\, \, yuan}{0.1558\, \, U.S.\, \, dollars.}[/tex]
- The second step is to multiply the previous fraction by 1 U.S. dollar.
[tex]\frac{1\, \, yuan}{0.1558\, \, U.S.\, \, dollars}\times 1\, \, U.S.\, \, dollars[/tex]
As you can see, the U.S. dollar units can be cancelled and yuan remains.
[tex]\frac{1\, \, yuan}{0.1558}\times 1[/tex]
- The last step is to perform the division.
[tex]1\, \, U.S.\, \, dollars=6.4185\, \, yuans[/tex]
Thus, 1 U.S. dollar equals 6.4185 Chinese yuans. The correct answer is D.
Explain how you can tell without calculating whether the sum of a positive number and a negative number will be positive, negative, or zero.
PLZ HELP QUICKLY AND CORRECT GETS BRAINLY!
Solve for x: −3|x − 3| = −6
factor each polynomial 9x-6 a.9(x-6) b.3(3x-2) c.6(3x-1) d.3x
The correct answer is b) 3(3x - 2)
In order to factor this, you have to find the greatest common factor of 9x and 6. Since 6 does not have an x in it, we cannot pull out an x. Instead we have to look for the biggest whole number that goes into 9 and 6, which is 3.
Next, to take the 3 out, we need to divide each term by 3.
9x/3 = 3x
-6/3 = -2
So the 3 comes out and the results above go together in the parenthesis.
3(3x - 2)
[tex] 9x-6=3(3x-2)\implies\text{B} [/tex]
What happens to the surface area of a rectangular prism when each of the dimensions is doubled? (1 point) i?
Final answer:
The surface area of a rectangular prism increases by four times when each of the dimensions is doubled because surface area scales in proportion to the square of the linear dimensions.
Explanation:
When the dimensions of a rectangular prism are doubled, the surface area of the prism increases by a factor of four. This is because the surface area is proportional to the square of the linear dimensions. If the length, width, and height of the prism are doubled, the new surface area (A') compared to the original surface area (A) is calculated as follows:
A' = 2l × 2w + 2l × 2h + 2w × 2h
A' = 4(lw + lh + wh)
A' = 4A
Thus, if each dimension is doubled, the surface area increases by four times.
Hey
PLEASE HELP ME
Limited time!!!!
Blank 1: 38,35,65,15
Blank 2: purchasing 12 apps, purchasing 35 apps, spending $35, spending $12
Blank 3: Has 12 new on her phone , Has $35 remaining on her card , Has 35 new apps , Has $12 remaining on her card.
CHOOSE ONE ONLY FOR EACH BLANK.
THX
Plutonium -25 has a half live of 6 hours . George has 5000 grams of plutonium -25 . How much plutonium-25 will hearse have after 4 days
A family on vacation drives 123 miles in 2 hours, then gets stuck in traffic and goes 4 miles in the next 15 minutes . The remaining 191 miles of the trip take 3 3/4 hours. What was their average rate of speed to the nearest tenth of a mile per hour ?
The average speed of an object is the total distance traveled by the object divided by the elapsed time to cover that distance.
Total distance traveled = 123 miles + 4 miles + 191 miles = 318 miles
Total time taken = 2 hours + 15 minutes + [tex] 3\frac{3}{4} [/tex] hours
= 2 hours + [tex] \frac{15}{60} [/tex] hour + [tex] \frac{15}{4} [/tex] hours
= [tex] 2+\frac{1}{4}+\frac{15}{4} [/tex] hours
=[tex] 2+\frac{16}{4} [/tex] hours
= 6 hours
Average speed = Total distance [tex] \div [/tex] Total time
= [tex] \frac{318}{6} [/tex] mile per hour
= 53 mile per hour.
The average speed of an object is the total distance traveled by the object divided by the elapsed time to cover that distance.
Total distance traveled = 123 miles + 4 miles + 191 miles = 318 miles
Total time taken = 2 hours + 15 minutes + [tex] 3\frac{3}{4} [/tex] hours
= 2 hours + [tex] \frac{15}{60} [/tex] hour + [tex] \frac{15}{4} [/tex] hours
= [tex] 2+\frac{1}{4}+\frac{15}{4} [/tex] hours
=[tex] 2+\frac{16}{4} [/tex] hours
= 6 hours
Average speed = Total distance [tex] \div [/tex] Total time
= [tex] \frac{318}{6} [/tex] mile per hour
= 53 mile per hour.
Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?
The answer is B) Determine whether (–x)^3 + 5(–x) + 1 is equivalent to x^3 + 5x + 1
HELP!!!
Draw a tree diagram illustrating the events, two cards are drawn in succession with replacement from a standard deck of 52 and its suit is observed.
I got 50 branches but it's wrong and I'm not sure what I'm doing incorrectly.,
A triangular playground has angles with measures in ratio 8: 3: 9 what is the measure of the smallest angle
Answer:
The measure of the smallest angle is 27°
Step-by-step explanation:
The triangle has angles with measure ratio 8:3:9, so the sizes of the angles are going to change depends on the ratio.
Let’s name the common value as “α”.
Basing on the angle-sum property, we already know that the sum of the angle in a triangle is 180°.
The measure of each one are:
8α, 3α, 9α
The sum of these is 180°.
Then,
8α + 3α + 9α = 180°
Let’s sum similar values:
20α =180°
α= 180°/20
α= 9
Replacing values, we going to find the measure of each angle:
8(9) = 72°
3(9) = 27°
9(9) = 81°
The measure of the smallest angle is 27°
Someone please help me find x and y for problems #19 and 20!!! Please explain if you can
Use the Law of Sines to find the missing angle in the triangle. Find m
Your weekly allowance is $25.you spent 6% of the budget on a new video game . how much did you spend on the video game ?\
Corey is out on the roads doing a long run, and also doing some mental calculations at the same time. corey's pace is 3 strides per second, and each stride covers 5 feet. (a) how much time does it take corey to cover a mile? (b) if corey's stride increased to 5.5 feet per step, how much time would be needed to cover a mile? (c) at five feet per step, how many steps would corey need to run the marathon distance, which is 26 miles and 385 yards?
HELP!!! WILL MARK BRAINLIEST IF YOUR RIGHT!!! LOOK AT THE IMAGE FOR THE QUESTION AND ANSWER CHOICES
helppppp meeee with thisssss