Answers
Answer:
b = 20 cm.
Step-by-step explanation:
Define and explain:
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.
Solve:
[tex]a^2+b^2=c^2[/tex]
[tex]a,b-legs[/tex]
[tex]c-hypotenuse[/tex]
[tex]15^2+b^2=25^2[/tex]
[tex]225+b^2=625[/tex]
[tex]625-225=400[/tex]
[tex]b^2=400[/tex]
[tex]b=20[/tex]
Conclude:
Therefore, the length of the unknown side is 20 centimeters.
Related Questions
Which of these lines is perpendicular to the line 5y = -6x + 2?
Answers
Answer:6y= -5x + 3
Step-by-step explanation:
The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line is given below.
5y = -6x + 2
The slope of the equation is -6/5.
Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as
y = mx + c
The product of the slope of the perpendicular lines is equal to a negative one.
The slope of the perpendicular line will be
(-6/5) m = -1
m = 5/6
Then the equation will be
y = (5/6)x + c
Let the equation is passing through the origin, then we have
6y = 5x
More about the linear system link is given below.
https://brainly.com/question/20379472
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Find the surface area of the following figures.
with solution please. T-T
Answers
Answer:
1.a=5cm
Surface area :6a²=6×5²=150cm²
2.r=3cm
h=5cm
total surface area of cylinder =2πr(r+h)
=2π×3(3+5)=48π cm²
3.
l=4m
b=5m
h=2m
now.surface area =2(lb+lh+bh)
=2(4*5+4*2+5*2)
=76m²
4.
r=6cm
surface area =4πr²=4*π*6²=144πcm²
5.
slant height (S)=8cm
length =breadth=(L)=4cm
Surface area of pyramid =area of base + 2* area of trainglular face
=L²+2*S*L
=4²+2*8*4
=80cm²
How many thirds are equal to 2/6? please explain using an equation.
Answers
Answer:
How many thirds are equal to 2/6?
1/3 = 1/3
2/6 = 1/3
3/9 = 1/3
4/12 = 1/3
Step-by-step explanation:
I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.
Have a great rest of your day/night!
1 thirds
divide 2/6 by 2 and you get 1/3. or multiply 1/3 by two and you get 2/6.
An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual incomes. The sample mean is computed to be $35,420.00. If the population standard deviation is $2,450.00, what is the standard error of the mean
Answers
Answer:
the standard error is 153.125
Step-by-step explanation:
given that
The random sample is 256
The sample mean is $35,420
And, the standard deviation is $2,450
We need to find out the standard error
We know that
= standard deviation ÷ √random sample
= 2450 ÷ √256
= 2450 ÷ 16
= 153.125
Hence, the standard error is 153.125
Trey invested $15,000 into a savings account for five years at 7% interest. How much is in the account if the interest is compounded monthly?
Answers
Multipuly po ba (15;000 7%)
what is the constant rate change shown in the graph below?
Answers
Answer:
the two points be
(0,0) and (1,-3)
slope [m]=[-3-0]/[1-0]=-3
constant rate is-3.
suzanne babysits to earn extra money. she charges $15 for each hour that she babysits. What represents the independent variable in this situation?
A. The total amount charged for babysitting
B. The rate she us paid per hour
C. The number of hours she babysits
D. The number of children she babysits
Answers
Answer:
C. The number of hours she babysits
Step-by-step explanation:
In this situation, the number of hours she babysits is the independent variable.
This is because it will directly influence the amount of money that she earns, which is the dependent variable.
For example, working for 1 hour will earn her $15.
So, the correct answer is C. The number of hours she babysits
if jason had2/7 cakes and 5/9 how much wood that be
Answers
The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y = 6.5 x + 42.4
The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores. y = 7.2 x + 34.7
If a student does not study for either test, on which test should the student expect the higher score?
A) on the science test because the rate of change is greater
B) on the math test because the rate of change is greater
C) on the science test because the y-intercept is greater
D) on the math test because the y-intercept is greater
Answers
Answer: C: on the science test because the y-intercept is greater
Step-by-step explanation: I got the question right on edge.
Answer:
C
Step-by-step explanation:
Please help me with this question:(
Answers
HELP!!! Find the angle measure.
Answers
Answer:
AOB=40°
COD=90°
BOD=130°
AOD=180°
Evaluate 4y if y = 3
Answers
Answer:
12
Step-by-step explanation:
y = 3 so
4 × 3 = 12
The value of 4y at y=3 is 12.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Expression : 4y
Now, we have to put y= 3
So, 4y
= 4(3)
= 12
Hence, the value of 4y at y=3 is 12
Learn more about Equation here:
https://brainly.com/question/10413253
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which of the following represents the equality for the sum of 11 and Y is greater than -33
Answers
Answer:
11+y > -33
Step-by-step explanation:
Answer:
You wrote
"Which of the following" Meaning there's should be options present.
But Going with the statement...
The sum of 11 and y is greater than -33
I'd say
11 + y > -33.
GIVING BRAINLY FOR WHOEVER ANSWERS THIS
Answers
Answer:
20%
Step-by-step explanation:
Probability is always expressed as a part of a whole, thereby in fractions or percentages. From the statistics gathered, it said that 80% of the time, the plane arrives right on schedule in El Centro. That means that the probability of NOT arriving on time is the other portion, which is 20%. The answer is 20%.
how do you find 25% of 92
Answers
Answer:
23
Step-by-step explanation:
An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the
total sales were $100, how many socks were sold?
Answers
Answer:
7 socks were sold
Step-by-step explanation:
7*8=56
11-7=4
4×11=44
56+44=100
This proves the answer of 7 to be correct
Pleas help me am going to fail
Answers
Answer:
20 × 9= 180
...............................
Hi there!
[tex]\large\boxed{180 u^2}[/tex]
Use the following formula to solve for the area:
A = b × h
Plug in the given numbers:
A = 20 × 9 = 180 units²
given: <1 congruent to <2
prove: AB is congruent to CB
Answers
Answer:
Because 3 and 2 are vertical angles
Step-by-step explanation:
Vertical angles are always equal or congruent
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
2,144.66 miles³
Step-by-step explanation:
v = (4/3)πr³
v = (4/3)π(8³)
v = 2,144.6605848506
Rounded
2,144.66 miles³
A two-state system is in an environment at temperature 500 K. The energy of state 1 is 4.1e-20 J, and the energy of state 2 is 5.7e-20 J. Let be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio
Answers
Complete Question
A two-state system is in an environment at temperature 500 K. The energy of state 1 is[tex]E_1=4.1e-20 J[/tex], and the energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]. Let P(1) be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio P(2)/P(1)
Answer:
[tex]X=0.0984[/tex]
Step-by-step explanation:
From the question we are told that:
Temperature T=500 K
Energy of state 1 [tex]E_1=4.1e-20 J[/tex],
Energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]
Generally the equation for Probability of finding the system in state is mathematically given by
[tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]
Therefore
For Probability of finding the system in state 1 [tex]P(1)[/tex]
[tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]
Where
K is Boltzmann constant
[tex]K=1.38*10^{-23}[/tex]
[tex]P(1)=e ^{\frac{-(4.1e-20 J)}{1.38*10^{-23}*500}}[/tex]
For Probability of finding the system in state 1 [tex]P(2)[/tex]
[tex]P(2)=e ^{\frac{-(5.7e-20 J)}{1.38*10^{-23}*500}}[/tex]
Generally the equation for The Ratio of [tex]P(2)[/tex] and [tex]P(2)[/tex] is mathematically given by
[tex]X=\frac{P(2)}{p(1)}[/tex]
[tex]X=e ^{\frac{E_1-E_2}{KT}}[/tex]
[tex]X=e ^{\frac{-(4.1-5.7)e-20 J)}{1.38*10^{-23}*500}}[/tex]
[tex]X=0.0984[/tex]
5. A simple random sample is defined by
(A) the method of selection
(B) how representative the sample is of the population
(C) whether or not a random number generator is used
(D) the assignment of different numbers associated with the outcomes of some
chance situation
(E) examination of the outcome
Answers
Answer:
b. because if there is a bigger population the sample will be more random
ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????
Answers
you slide the shape over (transformation) to get to 2 and then you turn the shape (rotation) to get to 3
PLEASE HELP I WILL MAKE YOU BRAINLIEST IF IT LETS ME
NO FAKE LINKS OR YOU WILL BE REPORTED
Answers
Answer:
Jeffery because the other dude go the 2 numbers wrong (he put the x coordinates on y and y on x)
Directions: Encircle the letter of the correct answer.
1. What do you call the distance around a cirde?
A. area
B. perimeter
C. circumference
volume
2. Jenny made a circular veil has a radius of 4 decimeters. How many decimeters of lace
trimmings were needed to put around the veil?
A. 8 decimeters
B. 16 decimeters
C. 12 decimeters
D. 25.12 decimeters
3. The circular based statue in the middle of a fountain City Hall Park has a diameter of 9
meters. If the City Mayor would like to put decorative ribbon around it, how much ribbon is
needed?
A. 18 meters
B. 28.26 meters
C. 27 meters
D. 81 meters
4. Mr. Cruz planted santan in his circular garden with a diameter of 8 meter. What is the
circumference of his garden?
A. 16 meters
B. 25.12 meters
C. 24 meters
D. 64 meters
5. Robert's mother is making a pot holder with a diameter of 7 meters. How many meters of
lace she needs to decorate around the pot holder?
A. 14 meters
B. 21.98 meters
C. 21 meters
D. 49 meters
Answers
Answer:
Step-by-step explanation:
1.C. circumference
2.D. 25.12 decimeters
Solution
C=2πr=2·π·4≈25.13274
3.B. 28.26 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·9≈28.27433m
4.B. 25.12 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·8≈25.13274m
5.B. 21.98 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·7≈21.99115m
What is A line that a graph approaches as x or y increases, but never crosses?
Answers
Answer:
Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.
Step-by-step explanation:
PLEASE HELP!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the trigonometric ratios with their values based on the triangle shown in the diagram
Answers
this is the answer on edmentum
The matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CWhat is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The value of sin C will be
sin C = 3 / 5
The value of sin D will be
sin D = 4 / 5
The value of cos C will be
cos C = 4 / 5
The value of cos D will be
cos D = 3 / 5
The value of tan C will be
tan C = 3 / 4
The value of tan D will be
tan D = 4 / 3
The product of sin D and cos D will be
sin D × cos D = (4 / 5) × (3 / 5)
sin D × cos D = 12 / 25
The product of tan C and tan D will be
tan C × tan D = (3 / 4) × (4 / 3)
tan C × tan D = 1
The product of cos C and tan D will be
cos C × tan D = (4 / 5) × (4 / 3)
cos C × tan D = 16 / 15
Then the matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CMore about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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the product of nine, y and x not simplified.
Answers
Answer:
9yx
Step-by-step explanation:
product means multiply.
nine, y and x
9yx
-Continued answer to my last question
Answers
Answer:
It's the first graph.
Step-by-step explanation:
The data points resemble the data in the table more than the second.
Q 16 Two numbers are in the ratio 3 : 17. If the first is 6, what is the other?
Ops: A.
w
O 51
B.
O 68
C.
0 42
5723
D.
O 34
Answers
Answer:
D 34
Step-by-step explanation:
i hope you understand
Two boats started to move towards each other from two docks, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answers
Answer:
3.333 hours
Step-by-step explanation:
Given the total distance is 30 miles, and boat 1 travels at 3 mph and boat 2 travels at 6 mph, and the time for both is the same. Distance is speed S times time T so
30 = D(boat 1) + D(boat 2)
30 = (S1 * T) + (S2 * T)
30 = 3T + 6T
30 = 9T
3.333 = T