Answer:
Base of rectangle = 23.25 units (Approx.)
Step-by-step explanation:
Given:
Diagonal of rectangle (Hypotenuse) = 8x
Height of rectangle (Perpendicular) = 2x
Find:
Base of rectangle
Computation:
Base = √Hypotenuse² - Perpendicular²
Base of rectangle = √(8x)² - (2x)²
Base of rectangle = √64x² - 4x²
Base of rectangle = √60x²
Base of rectangle = 7.75x units (Approx.)
If x = 3
Base of rectangle = 7.75x
Base of rectangle = 7.75(3)
Base of rectangle = 23.25 units (Approx.)
Answer:
i
Step-by-step explanation:
i have the same question so sry lol
Fish tank has sprung a leak at the bases of the tank 5% of the water is lost every minute How much water is lost from the tank after ten minutes
Answer: 50%
Step-by-step explanation:
From the question given, we are informed that a fish tank has sprung a leak at the bases of the tank and that 5% of the water is lost every minute
Based on the information given, the amount of water that is lost from the tank after ten minutes will be:
= 5% × 10
= 0.05 × 10
= 0.5
= 50%
This means that after 10minutes, 50% of the water will be lost.
A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Tammy chooses a marble at random, and without putting
it back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write
your answer as a fraction in simplest form.
Answer:
1/12
Step-by-step explanation:
9 total marbles
probability that the first marble is blue
p = 2/9
the second is green
p = 3/8
prob of both
p = 2/9 * 3/8
p = 6/72
p = 1/12
the circumference is 135.02 ft what is the diameter?
trig question in picture above
solve for x and round to the nearest tenth
Answer:
31.9
Step-by-step explanation:
We have the hypotonouse and need the adjacent side
to solve for x we will use CAH
Cos(15)=x/33
33cos(15)=x
x=31.87555 which rounds to 31.9
The radius of a cylindrical construction pipe is 3.5ft. If the pipe is 40ft long, what is its volume?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
1539 ft^3
Step-by-step explanation:
3.5×3.5=12.25
12.25×3.14=38.465
38.465×40=1,538.6
1538.6 rounded to the nearest whole number is 1539.
hello please help i’ll give brainliest
Answer:
2nd and 3rd OptionsStep-by-step explanation:
As,
These two,
A large rock breaking down into smaller rocks, and water carving a canyon out of the ground
Are physical changes within the Earth's system
Taylor bought a watch on sale for 60% off of the original price, and another 10% off of the discounted price. If the watch originally cost $82, what was the final sale price?
Answer:
I think the answer is $4.92.
Step-by-step explanation:
Although the answer seems a little unreasonable, I think this is the answer:
$82 * 60% = $49.2
49.2 * 10% = $4.92
Please mark brainliest if correct!!!!!!!!!!!!!!! have a nice day!!
udent
You roll a number cube two times. Which of the theoretical probabilities are accurate?
Check all that apply.
OP(1 then 0) = }
Pleven number then odd number) = 4
P(6 then 2) = 36
Pleven number then 5) = 12
ook
ons
ative
Plodd number then 2) =
HELP
Answer:
B ; C ; D
Step-by-step explanation:
Number of faces on a number cube = 6
Sample space = (1, 2, 3, 4, 5, 6)
P(1 then 0)
P(1) = 1/6 ; P(0) = 0
P(1 then 0) = 1/6 * 0 = 0
P(even number then odd number) :
P(even number) = 3/6 = 1/2
P(odd) = 3/6 = 1/2
P(even number then odd number) = 1/2 * 1/2 = 1/4
P(6 then 2) :
P(6) = 1/6 ; P(2) = 1/6 = 1/2
P(6 then 2) = 1/6 * 1/6 = 1/36
P(even number then 5) :
P(even) = 3/6 = 1/2
P(5) = 1/6
P(even number then 5) = 1/2 * 1/6 = 1/12
P(odd number then 2) :
P(odd) = 3/6 = 1/2
P(2) = 1/6
P(odd number then 2) = 1/2 * 1/6 = 1/12
A nearby pond has 5 frogs, and the population doubles every year. The inequality 5(2)^t>75, where t is the number of years, models when the population of frogs will be greater than 75.
Based on the inequality, when will the population of frogs in the pond be greater than 75?
t>4 years
t>7.5 years
t>2 years
t>1 year
Answer:
4 and 7.5 years will be greater than 75
Step-by-step explanation:
4 year 10,20,40,80
7.5 years 10,20,40,80,160,320,640,960
if a and b are the zeros of the quadratic polynomial 4x2+4x+1, find the value of a/b+b/a?
Answer:
2
Step-by-step explanation:
First you need to factor your quadratic equation. You'll get (2x+1)(2x+1). Your two zeroes will be -1/2 and -1/2 with one being a, the other b. So then
a/b = (-1/2)/(-1/2)
and
b/a = (-1/2)/(-1/2)
Both reduce to 1. So a/b + b/a is 1+1=2
Use the following function rule to find f(-62). help plz!!
Answer: 8
Step-by-step explanation: plug in -62 as equal to x
A - Monomial
B - Binomial
C - Trinomial
D - none of the above
Answer:
the correct answer is option D
Which equation could be used to find the length of the hypotenuse?
Answer:
11^2+6^2=c^2
Step-by-step explanation:
The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f
Answer: b
Step-by-step explanation:
Answer:B
Step-by-step explanation:
Mark has a cabinet door in his kitchen with the dimensions shown below. He creates a scale
drawing where the width of the cabinet door is 15 inches. What is the height of the cabinet
door in Mark's scale drawing?
Answer:
30
Step-by-step explanation:
you just Multiply by 2
Answer:
h = 25 in
hope it helped!
Help, so You pick a card at random. Without putting the first card back, you pick a second card at random. There are 3 cards, a 5 a 6 and a 7 What is the probability of picking a 5 and then picking a 6?
Given:
There are 3 cards, a 5 a 6 and a 7.
You pick a card at random. Without putting the first card back, you pick a second card at random.
To find:
The probability of picking a 5 and then picking a 6.
Solution:
We have,
Total number of cards = 3
Number of card of 5 = 1
So, probability of getting a card of 5 is:
[tex]P(5)=\dfrac{\text{Number of card of 5}}{\text{Total number of cards}}[/tex]
[tex]P(5)=\dfrac{1}{3}[/tex]
After this selection, the remaining number of cards is 2. So, probability of getting a card of 6 in second draw is:
[tex]P(6)=\dfrac{\text{Number of card of 6}}{\text{Total number of remaining cards}}[/tex]
[tex]P(6)=\dfrac{1}{2}[/tex]
Now, the probability of picking a 5 and then picking a 6 is
[tex]P(\text{5 then 6})=P(5)\times P(6)[/tex]
[tex]P(\text{5 then 6})=\dfrac{1}{3}\times \dfrac{1}{2}[/tex]
[tex]P(\text{5 then 6})=\dfrac{1}{6}[/tex]
Therefore, the probability of picking a 5 and then picking a 6 is [tex]\dfrac{1}{6}[/tex].
A analog clock (with hour and minute hands) is set to 5:00 P.M. After 30 min, what will the measure of the major arc formed by hour and minute hands.
Answer:
180 degrees
Step-by-step explanation:
Given
[tex]Time = 5:00pm[/tex]
Required
The measure of the major arc, 30 minutes after
First, we calculate the time after 30 minutes
[tex]Time = 5:00pm +30\ mins[/tex]
[tex]Time = 5:30pm[/tex]
At 5:30pm, the hour and the minute hand will be directly opposite each other.
In other words, the hands divide the time into two equal parts (180 degrees each)
At this point, there is no major or minor arc as both sides have the same measurement
Hence, the measure of the arcs is 180 degrees
Answer choices are
A. 4
B. 6
C. 8
D .10
Answer:
c us the correct answer for this question
alex has a peice of fabric that is 56 inches long and 3 inches wide. He cuts it into pieces that are each 7 inches long and 1 inch wide. What is the greatest number of 7 inch by 1 inch peices can alex get?
Answer:
24
Step-by-step explanation:
trust
please help i will give brainliest
Answer:
Step-by-step explanation:
P=3/6 ×5/26=5/52
2.for Corner
P=3/6×5/26=5/52
3. for Cecilia
P=2/6×5/26=5/78
What is the value of i^20+1?
A. 1
B. -1
C. -i
D. i
Answer:
the answer is D. i
Step-by-step explanation:
Answer:
bi
Step-by-step explanation:
took test
it’s asking for LATERAL surface area btw
Answer:
Lateral surface area = 826.5 m²
Step-by-step explanation:
Formula to calculate the lateral surface area of the triangular prism,
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
Perimeter of the triangular base = 6 + 11 + 12
= 29 m²
Height of the prism = 28.5 m
Therefore, lateral surface area of the prism = 29 × 28.5
= 826.5 m²
2. The following triangle, AABC, has angle measures as shown.
3(x+ 2)° )
35
52
B
Step 1: What is the value of Show your work. (2 pts.)
Step 2: What is the measure of angle C? Show your work. (2 pts:)
Step-by-step explanation:
3(x+2)+35+52=180
3x+6+35+52=180
3x+93=180
3x=180-93
x=87/3
x=29
value of angle C=3(29+2)
=3×31
=93 degree
At a large university, 15% of students are left-handed. A psychology professor selects a random sample of 10 students and records L = the number of left-handed students in the sample.
Starting on line 1 of the random-number table, how many left-handed students occur in the first trial of the simulation if we let 00-14 represent left-handed students?
=============================================================
Explanation
We start in the first row at the very left side. The first two digits are the '2' and '4', and they form the value 24. Since 24 is not in the interval from 00 to 14, this means that the first randomly selected student is not left-handed.
The next two digits are 0 and 0. This forms 00 and represents a left-handed student because now we are between 00 and 14. Make a tally of how many left-handed students you count.
As we keep reading across the row, the next two digits are 0 and 7 and they combine to 07. This is another left handed student. However, the student after that is not left-handed since 59 is not in the range from 00 to 14.
Here's a list of all the values we read from the table, and if they're left handed or not:
table value = 24, not left-handedtable value = 00, left-handed (1 so far)table value = 07, left-handed (2 so far)table value = 59, not left-handedtable value = 83, not left-handedtable value = 62, not left-handedtable value = 20, not left-handedtable value = 09, left-handed (3 so far)table value = 15, not left-handedtable value = 18, not left-handedThere are 3 left-handed people in our sample. The table values were: 00, 07, and 09 in that order from left to right.
So that's why the answer is 3.
If you start at another point in the random-number table, then it may be likely that you'll get a different answer. Also, if you decide to read the table in a different way, then you may likely get a different answer.
1 If you were looking to find the range of a set of numbers, what would be the correct first step? A Add the smallest and largest numbers together. B Subtract the smallest number from the largest number. C Add all the numbers together. D Find the number at the midpoint of the set.
Answer:
b.) subtract the smallest number from the largest number
Step-by-step explanation:
PLEASE HELP ME I AM FAILING
Answer:
2, 3, 6
Step-by-step explanation:
Answer:
C, E, F,
Step-by-step explanation:
They all equal 4x^2+16x+16
Mark has a bag with different flavors of candy. The bag contains 4 cherry, 3 lemon, 7 watermelon and 2 grape candies.
What is the probability of Mark picking up the cherry or grape candy?
3/4
6/7
3/8
2/5
Answer:
3/8
Step-by-step explanation:
there are 16 candies and 6 of them are cherry and grape
so our fraction is 6/16
simplified its 3/8
hope this helps <3
7 times 6 pls answer this
Answer:
42
Step-by-step explanation:
7 * 6 = 42
Hope this helps!
Answer:
42
Step-by-step explanation:
6 x 7 =42
Hope this helps! Please mark brainiest!
Suppose the commute times for employees of a large company follow a
normal distribution. If the mean time is 22 minutes and the standard
deviation is 5 minutes, 95% of the employees will have a travel time within
which range?
A. 17.25 minutes to 26.75 minutes
B. 12 minutes to 32 minutes
C. 7 minutes to 37 minutes
D. 17 minutes to 27 minutes
Answer:
12 minutes to 32 minutes
Step-by-step explanation:
just took exam
If the mean time is 22 minutes and the standard deviation is 5 minutes, 95% of the employees will have a travel time within 12 minutes and 32 minutes.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We know that the mean travel time is 22 minutes (µ = 22) and the standard deviation is 5 minutes (σ = 5).
Using the empirical rule, we know that 95% of the data will fall within 2 standard deviations of the mean.
Therefore, we need to find the interval that is 2 standard deviations away from the mean in both directions.
The lower end of the range would be:
µ - 2σ = 22 - 2(5) = 12 minutes
The upper end of the range would be:
µ + 2σ = 22 + 2(5) = 32 minutes
Therefore, 95% of the employees will have a travel time between 12 minutes and 32 minutes.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ7
Help me plzzz I need area and perimeter
Answer:
Area = 37.5
Perimeter = 36
Step-by-step explanation:
Have a good day! :)
Ps: I am not sure my method of finding area is correct
I will put the method in the comments
how to find the P: To find the p of Any Shape is the same formula, adding all the sides up. So to find the p of this shape all you need to do is add all the sides up. 3+12.5+7.5+13. Add these up and you get the P