Answers
Answer:
Step-by-step explanation:
In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:
[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.
We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.
In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:
[tex]\sqrt{443}^2+17^2=24^2[/tex] which gives us
443 + 289 = 576, but 732 does not equal 576, so that one is not right.
In the second set, the sqrt of 725 is the longest side, so that formula is:
[tex]\sqrt{725}^2=14^2+23^2[/tex] which gives us
725 = 196 + 529, and 725 does equal 725, so that one is right.
In the third set, the sqrt of 890 is the longest side, so:
[tex]\sqrt{890}^2=19^2+23^2[/tex], which gives us
890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.
Related Questions
Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A..
Answers
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here's a graph of a linear function write the equation that describes that function
Answers
Answer:
y=3/4x+2
Step-by-step explanation:
In an arithmetic sequence (Sn=n^2 -2n) .USE formula (Tn=Sn-Sn-1) to determine Tn
Answers
Answer:
Tn=-1
Step-by-step explanation:
Please mark as brainliest
50% of 180 dancers said they prefer hip hop class over tap class. How many dancers prefer hip hop class?
Answers
Answer:
90
Step-by-step explanation:
50% of 180 = 90%
90% is the answer.
is 5/9 x 5/5 greater than, less than, or equal to 5/9
Answers
Answer:
Equal to
Step-by-step explanation:
5/5 is another way of saying 1
so you do 5/9 times 1
and you get 5/9
look at picture for question. will mark brainilest please
Answers
Answer:
b. 3 pounds
.............
What is the area of the triangle below?
20 square units
15 square units
7.5 square units
30 square units
Answers
Answer:
7.5 square units
Step-by-step explanation:
Base of the triangle = 5 units
Height of the triangle = 3 units
Area of the triangle
[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]
Answer:
7.5
Step-by-step explanation:
workout the following divisions:
Answers
Answer:
I think this is the same as yesterday.
hi good day plss help me plssssssssss i need yoyre help now plss
Answers
Answer:
6.c 7.c 8. b 9. a 10. a
Step-by-step explanation:
6=c as 39.10-19.56
7. 89.2-78.6
8. 8.03-5.1
9. 40.98-15.6
10.55.6-47.5
An amount of $41,000 is borrowed for 7 years at 7.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Answers
I= 41,000 * 0.075 * 7
41,000 * 0.075 * 7 = 21,525
Answer= 21,525
HELP ASAP I AM DOING IREADY
Answers
Answer:
-11 / 4
11 / -4
-11/4
11/-4
Thats it. (A, B, D, E)
What is the remainder to the following polynomial division problem?
(x^2+ 6x + 5) / (x + 2)
Answers
Answer:
I think it is -3
Step-by-step explanation:
x+4-(3/x+2) is the answer I got
What is 2 ½ divided by ½ equal too
Answers
Answer:
it woulb be 1.25
convert 9,78 h to hours, minutes and seconds
Answers
Please find the area of of the shaded polygon
Answers
Answer:
8
Step-by-step explanation:
The Arc Electronic Company had an income of 7676 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 9090 million dollars with a standard deviation of 77 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
Answers
Answer:
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.
This means that [tex]\mu = 90, \sigma = 7[/tex]
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 90}{7}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
1. If you earn $15 an hour and you work 35 hours a week, how much do you earn in 4 weeks?
Answers
Answer:
$2100
Step-by-step expla35 x 4 = 140 140 x 15 = 2100
The volume length and breadh of a
cuboid are 60cm3, 5cm, 4cm then it
height is
Answers
Answer:
3cm
Step-by-step explanation:
volume of cuboid =length × base × height
so height will be
volume divided length ×base
v=60cm^3
lenght=5cm
base=4cm
h= 60 ÷(5×4)
h= 60÷20
h= 3cm
remember that cm^3 will cancel one time with 5cm and second time 4cm and leave you with cm
Find the probability that when a couple has five children, at least one of them is a boy. (assume that boys and girls are equally likely.)
Answers
Answer:
The easiest way to figure this is to find P(no girls in 5 births) = (1/2)^5 = 1/32 -------------- The P(at least one girl in 5 births) = 1 - 1/32 = 31/32
The probability that when they have five children, at least one of them is a boy is 31/32
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome:
The probability that a couple will have a boy or girl among the five children = 1/2
If they gave birth to 5 children:
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)^n where:
n is the total number of children
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)ⁿ
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)⁵
The probability that when they have five children, at least one of them is a boy = 1- 1/32 = 31/32
Hence the probability that when they have five children, at least one of them is a boy is 31/32
Learn more here: https://brainly.com/question/13604758
Hey yall I really need some help; Image attached below
- 50 points
Answers
Answer:
YAY an answer got deleted so i can add mine!
Step-by-step explanation:
like i said the answer is 72m2
to find the area you multiply 48 by 1.5
48 x 1.5 = 72
the Sealy family attended a baseball game. They offered food from the attendant working in their area. The food bill came to $62.50. The sealys decided to give the attendant an 18% tip. How much did the family pay for the meal.
Answers
Add the tip of 11.25 to total 62.50
Total bill paid was $73.75
PLEASE HELP!!!!!!!!!! Which list of numbers is ordered from smallest magnitude to largest magnitude?
3.0.1-10]. 1-221
0.3.1-101.1-221
|-221.1-10.30
1-221.1-10.0.3
Answers
Answer:
the second one, 0,3,|-10|,|-22|
Step-by-step explanation:
The question is asking for the order smallest to largest. When a number is placed in absolute value, | |, it automatically becomes a positive number.
With that said, 0 is the smallest and 22 is the greatest.
Create a stem-and-lead plot using the following data: 21 14 7 9 30 21 6 6 28 21 31 35 14 17 20 9 24 34 7 21 28
Answers
Step-by-step explanation:
stem and leaf
0 66779
1 447
2 0111148
3 0145
A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.
Answers
Question:
The scatter plot shows the maximum noise level when different numbers of people are in a stadium. The linear model is given by the equation y=1.5x + 22.7 where y represents maximum noise level and x represents the number of people, in thousands, in the stadium.
A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.
Answer:
[tex]y = 97522.7[/tex]
Step-by-step explanation:
Given
[tex]y = 1.5x + 22.7[/tex]
[tex]x = 65000[/tex]
Required
Find y
Substitute 65000 for x in the given equation
[tex]y = 1.5 * 65000 + 22.7[/tex]
[tex]y = 97500 + 22.7[/tex]
[tex]y = 97522.7[/tex]
It is reasonable because as the population increases, the noise level also increases
someone down to help...............
Answers
Fred buys 16 bags of tortilla chips and 28 jars of salsa dip. What is the ratio of salsa jars to bags of tortilla chips? Simplify your answer.
Answers
7 to 4 is the ratio of salsa jars to salsa bags
use the table to write a proportion.
Answers
Answer:
22
Step-by-step explanation:
please help
answer choices:
A:0.125
B:0.20
C:0.80
D:1.0
Answers
9514 1404 393
Answer:
B: 0.20
Step-by-step explanation:
Green was selected 8 of the 40 times. We expect its probability of selection to be about ...
8/40 = 1/5 = 0.20 . . . p(green)
Answer:
B 0.2
Step-by-step explanation:
First find out how many marbles are in total
16 + 8 + 6 + 9 + 1 = 40
Then simply divide the number of green marbles by the total.
8 / 40 = 0.2
Part B: Which box-and-whisker plot displays
Mario's data?
Brainliest quick
Answers
Answer:
Step-by-step explanation:
i think it's D i have the same test today
Answer:
C cause it has to be 54 then the median is 58
Step-by-step explanation:
ok this is a math question if you don't know anything about this go away.
3. A volleyball coach plans her daily practices to include 10 minutes of stretching, 2/3 of the entire practice scrimmaging, and the remaining practice time working on drills of specific skills. On Wednesday, the coach planned 100 minutes of stretching and scrimmaging. How long, in hours, is the entire practice?
Answers
Answer:h
Step-by-step explanation:
F
