Answers
Answer:
[tex]\Huge\boxed{b=21}[/tex]
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
where a and b = legs and c = hypotenuse
we are given a leg and the hypotenuse so we plug in what we have into the formula
[tex]20^2+b^2=29^2[/tex]
now we solve for b
step 1 subtract 20^2 from each side
[tex]b^2=29^2-20^2\\29^2=841\\2-^2=400\\841-400=441\\441=b^2[/tex]
finally we want to get rid of the exponent on the b
to do so we take the square root of each side
[tex]\sqrt{441} =\sqrt{b^2} \\\sqrt{441} =21\\\sqrt{b^2} =b[/tex]
we're left with b = 21
Note: They Pythagorean theorem only works with right triangles
Related Questions
-10,20,-40 what are the next two terms
Answers
Answer:
80
Step-by-step explanation:
10+10= 20
20+20=40
40+40=80
Answer:
80, -160
Step-by-step explanation:
Each term is being doubled and the sign is reversing for every term. So -10 doubled and flipping the sign results in 20. Doubling 20 and flipping the sign results in -40. So on and so forth.
A yard has a perimeter of 168 feet. If times the length of the yard equals seventeen times the width, what are its dimensions?
Answers
Answer: See Explanation
Step-by-step explanation:
Your question isn't complete but let's reframe it as:
A yard has a perimeter of 168 feet. If four times the length of the yard equals seventeen times the width, what are its dimensions?
Therefore, 2L + 2W = 168 ....... i
4L = 17W ........ ii.
From equation ii,
L = 17W/4 ........ iii
We would then slot the value of L into equation i
2L + 2W = 168
2(17W/4) + 2W = 168
17W/2 + 2W = 168
17W + 4W = 336
21W = 336
W = 336/21
W = 16
Since L = 17W/4
L = (17 × 16)/4
L = 68
The dimensions are 16 feet and 68 feet
convert 0.025 days to seconds
Answers
Answer:
2,160 seconds
Step-by-step explanation:
if the side lengths are 9, 12, and 15, is this a right triangle?
Answers
Jack has 30 sweets he shares his sweets with his friend when he gives his friend a sweet he has two for himself how many sweets do they each have
Answers
Answer:
15
Step-by-step explanation:
What is the simplest form of the expression
Answers
help?
Q1 Given the following data: 18, 47, 51, 60, 72, 75, 80
Find Q1 =
Answers
Answer:
47
Step-by-step explanation:
Q1 is half the first half of the data
18, 47, 51, [60], 72, 75, 80
^center, (Q2)
^Q1
please help me ill mark you brainliest and please show your work so i can write it down
Answers
Answer:
fourth answer must be correct
(4)
What is the absolute value of -8.2
Answers
|-8.2| then it becomes 8.2, the only difference it makes is it’s positive now
Of a total of 6,000.00, part was invested at a simple interest rate of 8% and part at 7% if the total interest income for one year was $46.00, how many was invested at 7%
Answers
Answer:
g786
Step-by-step explanation:
876
If p(x)=x+2, find p(x) when x=28.
Answers
Answer:
P=30
Step-by-step explanation:
Explain when you would use addition and when you would use subtraction to solve an inequality.
Answers
Answer:
With inequalities, you always use the opposite.
Step-by-step explanation:
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A point is in Quadrant 3 and on the unit circle. If its x-coordinate is -4/5, what is the y-coordinate of the point?
Answers
Answer:
The y-coordinate of the point is -3/5
Step-by-step explanation:
Here, we want to get the y-coordinate of the point
when we talk of the unit circle, we mean a circle that has its radius equal to just 1 unit
Now, on the third quadrant, we have the x axis value as negative, and also the y axis value as negative
In the unit circle, the Pythagoras’ theorem works for all quadrants; with the radius representing the hypotenuse of the right triangle, the x and y coordinates value represents the other sides of the triangle
Mathematically, from the theorem;
the square of the hypotenuse (radius of the unit circle) equals the sum of the squares of the two other sides
Thus, we have it that;
1^2 = (-4/5)^2 + y^2
1 = 16/25 + y^2
y^2 = 1 - 16/25
y^2 = 9/25
y = √(9/25)
y = +3/5 or -3/5
But since the y-coordinate value is supposed to be negative, we have to choose y = -3/5 as our answer (for the third quadrant)
Determine this one algebraically
Answers
Answer:
x = 5
y = 5
Step-by-step explanation:
In this question you need to solve one equation in order to plug the value into the second one and solve it as well. Lets start with the top one...
2x - x = 5
1x = 5
x = 5
Now we plug that value of x into the second equation
4x - 2y = 10
4(5) - 2y = 10
20 - 2y = 10
-2y = -10
y = 5
Finally, we can see that both x and y have a value of 5.
C.) Answer the following question.
a) Who is speaking in the first stanza
Answers
the witches from mecbeht
Answer:
where is the poem???????????,?????
-3,-1 After 4 units right and 7 units up
Answers
Answer:
(1,6)
-3 + 4 = 1
-1 + 7 = 6
Which table of ordered pairs represents a proportional relationship?A x-2 4 6 у 4 16 36 B x 4 6 8 y 8 -12 -18 C x-3 -5 -7 y 5 3 1 D x-3 -6 -9 y 12 24 36
Answers
9514 1404 393
Answer:
D x-3 -6 -9 y 12 24 36
Step-by-step explanation:
The relationship is proportional when the ratio of y to x is the same for all table entries. In selection D, that ratio is ...
12/-3 = 24/-6 = 36/-9 = -4
Mandy made a graph to show the relationship between the number of Fun-Fair prizes purchased and the total cost of the prizes.Which measurement from the graph represents the cost per prize?
Answers
Answer:
[tex] \boxed{C}[/tex]
rename this mix fraction 3 1/2
Answers
Answer:
Step-by-step explanation:
In decimal form it’s 3.5 but if you want a fraction it’s 7/2 hope this helped you sorry if it isn’t what you where looking for
Answer:
it could be 3.5 because 1/2 is half of one whole so yea haha.
This is the picture...
Answers
Step-by-step explanation:
i) 4(3y+2)= 12y + 8
j)5(2p-1)= 10p - 5
k)3(7a+2)=21a+6
l)9(2x-5)=18x-45, sorry after this I'm just going to write the answer.
m) =20+15t
n) =63-14c
o) =24w+8
p) =9-36p
q) =22k-55
r) =120a+100c
s) =45w-21
t) =27-6a
AFTER allowing 4 % discount on the marked price of an article there is a profit of 20 % if the cost price of the article is RS 800 find marked price ? plz plz plz plz plz saw plz
Answers
Answer:
Rs. 1000Step-by-step explanation:
Let the marked price is x
Discount 4% ⇒ x - 4% = 0.96xCP = Rs. 800 Profit after discount = 20%SP = 800 + 20% = 800*1.2 = Rs. 960Now we have below equation:
0.96x = 1.2*8000.96x = 960x = 960/0.96x = 1000MP is Rs. 1000
For questions 7 - 12, solve the problem, expressing your answer using the correct number of
significant figures.
Answers
Answer:
93.1
24.83
24.13
2755
12.75
0.151
Step-by-step explanation:
Given :
21.1 + 45.99 + 26.0 = 93.09
15.55 + 21.61 - 12.333 = 24.827
14 + 0.8 + 9.33 = 24.13
14.5 * 190 = 2755
5.1 * 2.5 = 12.75
0.15 ÷ 0.991 = 0.151
Plssss helppppppppppppp
Answers
Answer:
The acceptable times are;
a) Between 10:00 PM and 11:00 PM
b) Between 7:30 AM and 9:00 AM
Step-by-step explanation:
From the question, we have that Mark an Hans are not able to c h a t in the times between;
a) 9:00 AM and 4:30 PM
b) 11:00 PM and 7:00 AM
Local times
Therefore they can c h a t at times between;
a) 7:00 AM and 9:00 AM
b) 4:30 PM and 11:00 PM
When the time is 1:00 AM in Berlin, it is 10:00 AM in Sydney
Therefore, the time difference between Sydney, Australia and Berlin, Germany = 10:00 AM - 1:00 AM = 9 hours
Therefore, when Mark can c h a t, the time in Berlin will be;
a) 7:00 AM -09:00 = 10:00 PM and 9:00 AM - 09:00 = 0:00 AM
Which gives;
10:00 PM and 0:00 AM
b) 4:30 PM - 09:00 = 7:30 AM and 11:00 PM - 09:00 = 2:00 PM
7:30 AM and 2:00 PM
Therefore, the acceptable times they can c h a t is found by overlapping the above times at Hans location in Berlin with the times Mark can c-hat in Sydney, Australia to get;
The acceptable times are between;
a) 10:00 PM and 11:00 PM
b) 7:30 AM and 9:00 AM
In order to make a batch of perfect California rolls, 24 ounces of crabmeat need to be
combined with 18 ounces of rice. This makes 42 ounces of California rolls. What is the ratio of
crabmeat to rice used to make the California rolls
Answers
24:18 is the given ratio, both are divisible by 6, so 24/6 is 4 and 18/6 is 3.
Hope this makes sense and is right, have a good day!
There is an equal number of men, women and children at a party. How many persons could be at the party?
Answers
Answer:
3, 6, 9, 12, and so on, basically any number that can be divided by 3
Answer:
0 or any positive multiple of 3 ex. 3, 6, 9, 12, 15.....
Step-by-step explanation:
Question 5 options:
x + 9 = 29
x=
Please solve for x.
Answers
20+9=29
x= 20
brainliest?! plzzzzzzzzzzz
Answers
Answer:
F
Step-by-step explanation:
she spins it 2 times and there's 4 different spinners on the board
there's 1 * on the board so
* = 1/4
there's 1 & on the board so
& = 1/4
its 1/4 for both
so 1/4 + 1/4 = 2/8 or .25
2/8 = 1/4
Answer:
f
Step-by-step explanation:
Alexis is making goodie bags for her birthday party. She has made 12 bags already.
If this is 60% of the total number of goodie bags that Alexis has to make, how many
total goodie bags does Alexis need to make for her party?
Answers
Needs 20 characters
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. At week 12, how much money will Sam have saved?
Answers
Answer:
$50 + ($30 x 12) = $410
Step-by-step explanation:
Answer:
$410.00
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
B. both the median and interquartile range of math is larger than science
Step-by-step explanation:
Math: 41, 82, 87, 88, 90, 93, 94, 94, 99
Median: 90
Interquartile range: 9.5
Science: 71, 75, 75, 77, 78, 79, 79, 81, 82
Median: 78
Interquartile range: 5