Answers
Answer:
See the explanation.
Step-by-step explanation:
The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse (diagonal, longest side) of the triangle.
We can see that the legs are labeled 15 (blue) and 8 (red). Substitute that into the equation.
(8)^2 + (15) ^2 = c^2
From there, we can simplify and solve for c.
64 + 225 = c^2. Add.
289 = c^2. Take the square root.
c = 17.
I hope this helps!
Answer: 17
Pro tip: 3/4/5, 5/12/13 and 8/15/17 are the first three Pythagorean Triples on the list and teachers like to use them for problems. The multiples also come up, like 6/8/10. Learn these and save yourself some calculation down the road.
Let's do it like they want
a² + b² = c²
8² + 15² = c²
64 + 225 = c²
289 = c²
√289 = √c²
17 = c
Related Questions
What is the measure of angle x in degrees?
50
100
200
180
Answers
Answer: a hunnid
Step-by-step explanation:
50 x 2= a hunnid
Answer:
100
Step-by-step explanation:
50x2=100 because it is 360 degrees
4 yd 2 ft = _____ ft. Explain how you knew how to solve the problem. *
2
Answers
4yds and 2ft are equaled to 14ft.
Each yard consists of 3 feet. If there are 4 then you multiply 4 times 3, resulting in 12. Then you add 2 more and you get 14.
Hope this helps !
Answer:
14 ft or 24 ft
Step-by-step explanation:
It is a unit of measurement conversion.
We have Yards (its abbreviation is yd) and Foot (where the standard symbol is ft)
Once there a 3 feet in a yard,
[tex]4 \text{ yd } 2 \text{ ft } = 12 + 2 \text{ ft } = 14 \text{ ft }[/tex]
State that I'm considering that this is a sum. Maybe it is a multiplication, so
[tex]12 \cdot2=24\text{ ft}[/tex]
help plzzzzzzzzzzzz
Answers
Answer:
a,b,d
Step-by-step explanation:
Classify the following triangle. Check all that apply
Answers
Answer:
F. right angle is correct
Answer: The correct choices are D and F.
Step-by-step explanation:
There are two classifications of triangles shown.
Any triangle can only be two.
The first classification depends on the triangles' angles:
Acute triangles are triangles with three angles under 90 degrees.Right triangles are triangles with a right angle. Obtuse triangles are triangles with an obtuse angle.The second classification depends on the triangles' sides:
Equilateral triangles are triangles with three equal side lengths.Isosceles triangles are triangles with two equal side lengths. Scalene triangles are triangles with no equal side lengths.The triangle given has angles of 36, 54, and 90 degrees. 90 degrees is a right angle, so the triangle is a right triangle.
The triangle given has side lengths of 7, 5.1, and 8.66. No side lengths are equal, so the triangle is a scalene triangle.
The correct choices are D and F.
The Jamison family kept a log of the distance they traveled during a trip, as
represented by the graph below.
(10,390)
(8.350)
Distance Traveled (miles)
(6.230)
(4.180)
(2,110)
(1.40)
Elapsed Time (hours)
During which interval was their average speed the greatest?
A. the first hour to the second hour
B. the second hour to the fourth hour
C. the sixth hour to the eighth hour
ОО
D. the eighth hour to the tenth hour
I’m not sure if it’s C could someone help
Answers
Answer:
swer:
Step-by-step explanation:
Here is the breakdown of the distance traveled each hour.
Hour 1: 40
Hour 2: 50
Hour 4: 70
Hour 6: 50
Hour 8: 120
Hour 10: 40
Seeing this, you can clearly see the most traveled was between the sixth and eighth hour (3).
Hope this helps!
Step-by-step explanation:
someone plz help!!! calculus, I have a picture below
Answers
Answer:
[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]
Step-by-step explanation:
The following expression:
[tex] 3y^{-3/5} [/tex]
can be simplified as follows:
First, rewrite the negative exponent,
[tex] 3\frac{1}{y^{3/5}} [/tex]
[tex] \frac{3}{y^{3/5}} [/tex]
And then, rewrite the fraction in the exponent,
[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]
Which function is the verse of f(x)=2x+3?
Answers
Answer:
Option B is correct
Step-by-step explanation:
A function has form of f(x) = 2x + 3, or y = 2x + 3
To find the inverse of f(x), we are going to represent x in form of y.
To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.
Now, let's do it.
y = 2x + 3
We firstly send 3 to the right, change the sign of 3 from + to -, we have:
y - 3 = 2x
We then rearrange both sides to get a standard form:
2x = y - 3
We now divide both sides by 2 to get the expression of x:
(2/2)x = (y - 3)/2
We simplify both sides of expression to obtain final result:
x = (1/2)y - 3/2
=> Inverse of f(x) is x = (1/2)y - 3/2
=> Option B is correct
PLEASEEE HELP !! in two the three sentences, explain how you would find the line of symmetry for the parabola whose equation is
y=x2+4x+16
Answers
Answer:
Axis of symmetry line is parallel to y- axis
Equation of the parabola ( x - ( -2 ))² = (y - 12 )
Step-by-step explanation:
Explanation:-
Given equation is y = x²+4 x+16
y = x²+2 (2 ) x + (2)² - (2)² + 16
y = ( x + 2 )² + 12
( x + 2 )² = y - 12
( x - ( -2 ))² = (y - 12 )
( x- h)² = 4 a ( y - k)
Center (h ,k) = ( -2 , 12)
Here 4 a = 1
a = 1/4
Focus S = ( h , K +a) = ( -2 , 12 + 0.25) = ( -2 , 12.25)
Axis of symmetry line is parallel to y- axis
Multiple chickens and rabbits are in a cage. There are 20 more chickens than rabbits and together, there are 256 legs in all. How many rabbits are there? Please explain
Answers
Answer:
c = −108 and r = 118
Step-by-step explanation:
Since we know that chickens have 2 legs and rabbits have 4 legs, we can set up a system of equations to solve the problem.
Let c be the number of chickens and r be the number of rabbits.
for legs, we can write the equation out in word form as:
(number of legs per chicken)(number of chickens) + (number of legs per rabbit)(number of rabbits) = (total number of rabbits)
In algebraic form, this equation would look like this:
2 c + 4 r = 256
20+r +r = 256
Now we can use elimination (or substitution) to solve for c and r:
The equation can be reduced by dividing both sides by 2:
c + 2 r = 128
Solve for r.
20+r +r = 256
2r = 236
2r/2 = 236/2
r = 118
Substitute and solve for c.
c + 2(118) = 128
c + 236 = 128
c = -108
In a science experiment, the temperature of a sample increased 2/10 during the first hour. At the end of the second hour, the temperature increased another 6/10. What was the total temperature increase for the two hours? Write your answer in simplest form.
Answers
Answer:
idk
Step-by-step explanation:
sorry for no help
I need help on this.
Answers
Answer:
60 cubic centimeters
Step-by-step explanation:
There are 4 rows and 5 columns and it has a doubly thiccness
Volume is length x width x height, so when you do that here,
5 x 4 x 2 = 60 cubic centimeters
Apply the 30-60-90 triangle theorem to find the length of the shorter leg , a, and the longer leg, b, if the length of the hypotenuse, c, is 14 inches.
A= b=
7
12
10
11
8
9
Answers
Answer:
A=7 B=12
Step-by-step explanation:
Find the volume of the prism. Round to the nearest tenth if necessary
Answers
Answer:
V = 204.7 cm³
Step-by-step explanation:
Pythagoras
h = √(6² - 3.5²)
= √(36 - 12.25)
= √23.75
= 4.87
≅ 4.9
A = Ab×H
= b×h/2 × H
= 7cm×4.9cm/2×12cm
= 204.7 cm³
A charter bus service charges a flat fee of $175, plus $2.50 per mile (one-way distance) for a bus. If the band paid exactly $1875 for three buses, how far did the band travel?
Answers
Answer:
1875-(175*3)=1350
1350/(2.5*3)=180
The Band Travelled 180 Miles
Step-by-step explanation:
Take the flat fee and multiply for the 3 buses.
Then (based on the info given) take the cost of the miles per hour and multiply by 3
Take that number and divide 1350 by the cost per miles to determine the miles the band traveled
help me out please once again
Answers
Answer:
C
Step-by-step explanation:
Use the pythagorean theorom
a^2 + b^2 = C^2
convert so it goes to the problem
c^2 - a^2 =b^2
10^2 - 5^ = 100 - 25 = 75
srt. 75 = 5 sqrt.3
Answer:
The hypotenuse = leg 1 + leg 2
Hypotenuse = 10
Leg 1 = 5
Leg 2 = ?
10^2 - 5^2 = x
100 - 25 = 75
Answer = sqrt of 75
Answer = C5 sqrt. 3WILL GIVE BRAINLIST AND THANKS AND 5 STARTS IF CORRECT WHAT IS X QUESTION IS ON SCREENSHOT
Answers
Answer:
1/4
Step-by-step explanation:
x + 1/2 = 3/4
Subtract 1/2 from both sides.
x = 1/4
The product of 67 and the numbers of weeks
Answers
Answer: the answer to that is 67n
Step-by-step explanation:
Answer: 641.19
Step-by-step explanation: So, I'm a little confused on the question... but I think I know what you're talking about. There are 7 days in a week...
67 ÷ 7 = 9.57
67 x 9.57 = 641.19
The product of 67 and the number of weeks is 641.19...
Please let me know if answered the question correctly!
Which type of reasoning allows you to use observation to find the next three values in the number pattern 1,4,7,10.....?
Answers
Answer:
The next number in the pattern is 13.
Step-by-step explanation:
From 1, i add 3 and i get 4, then i add 3 to 4 and get 7 and then i add 3 to 7 to get 10. From here you can quickly observe that you add three to ten to get 13
The legs of a right triangle measure 8 feet and 15 feet. What is the length of the hypotenuse?
Answers
Answer:
17
Step-by-step explanation:
Use the Pythogream theorm where c is the hypotenuse.
Answer:
17
Step-by-step explanation:
Using the Pythagory and Theroem
i only need number 4 and number 8
Answers
Answer:
4. (2√10 +2√17) units
8. 25/2 square units
Step-by-step explanation:
4. The length of JK is given by the distance formula ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((3-2)^2 +(6-3)^2) = √(1+9) = √10
The length of KL is given by the same formula:
d = √(4^2 +1^2) = √17
The perimeter is twice the sum of these lengths:
P = 2(JK +KL)
P = 2√10 +2√17
__
8. The area can be computed from coordinates* using the formula ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
A = (1/2)|3(4 -0) +7(0 -7) +4(7 -4)| = (1/2)|12 -49 +12|
A = 25/2 = 12.5 . . . . square units
_____
* One way to look at the problem is as a set of triangles and a trapezoid. The x-axis is the base of the right triangles with line PQ and PR as hypotenuses. The trapezoid is a right trapezoid with parallel bases extending from the x-axis to points Q and R.
The left triangle area is 1/2(1)(7) = 7/2; the right triangle area is 1/2(3)(4) = 6. The area of the trapezoid is 1/2(4+7)(4) = 22. The area of the triangle of interest is the difference ...
area PQR = trapezoid area - (sum of triangle areas) = 22 -19/2 = 25/2
__
If point P were not on the x-axis, then the figure could be resolved into 3 right trapezoids in similar fashion. If you were to use points (x1, y1), (x2, y2), and (x3, y3) instead of numerical values, you could obtain the formula shown above.
Probability With a Pair of Dice Find the probability of rolling multiples of 2 on both dice.
Answers
Answer:
1/2
Step-by-step explanation:
There are 6 sides on the dice. 3 of them are multiples of 2. 3/6=1/2.
a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-5t^2 what’s the greatest height the rocket reached? after how many seconds does the rocket reach its height? how far above the cliff edge is the rocket after 5 seconds? when is the rocket 40 meters above the cliff edge? where is the rocket after 7 seconds?
Answers
Answer:
Greatest height: 45 meters
Time for greatest height: 3 seconds
Height after 5 seconds: 25 meters above the cliff
Time for height of 40 meters: 7.123 seconds
Height after 7 seconds: -35 meters (35 meters below the cliff)
Step-by-step explanation:
to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:
dy/dt = 30 - 10t = 0
10t = 30
t = 3 seconds
In this time, the height is:
y = 30*3 - 5*3^2 = 45 meters
After 5 seconds, the height is:
y = 30*5 - 5*5^2 = 25 meters
The time for the height of 40 meters is:
40 = 30t - 5t^2
t^2 - 6t - 8 = 0
Using Bhaskara's formula, we have:
Delta = 6^2 + 4*8 = 68
sqrt(Delta) = 8.246
t1 = (6 + 8.246) / 2 = 7.123 seconds
t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)
So the time when the rocket reaches 40 meters is 7.123 seconds
After 7 seconds, the height is:
y = 30*7 - 5*7^2 = -35 meters
The rocket will be 35 meters below the cliff.
Evaluate the expression 6log6 1.5
Answers
Answer:
10.7332506947
Step-by-step explanation:
hope it helps !!
If I am wrong please let me know
Which of the following equations describes the graph?
y = -x2 - 2x + 1
y = x2 + 2x + 1
y = x2 – 2x + 1
y = x2 – X-1
Answers
Answer:
Which cone has a volume of 24 7 cm?
-
1
-
-
3.5 cm!
4.5 cm
1
6.5 cm
B = 25.4 cm
1
7/5 cmi
1
8 cm
3 cm
B = 42
Step-by-step explanation:
Javier used chalk to draw some shapes on the playground.
All of the shapes that Javier drew are parallelograms.
Some, but not all, of the shapes that Javier drew are rectangles.
Which statement must be true?
A All of Javier's shapes have 4 equal angles.
B Some, but not all, of Javier's shapes have perpendicular sides.
C Some, but not all, of Javier's shapes have 2 pairs of parallel sides.
D All of Javier's shapes have at least one angle greater than 90 degrees.
Answers
Step-by-step explanation:
option D is answer coz parallelograms and rectangles have the angle greater than 90°……
GIVING BRAINLIEST TO THE CORRECT ANSWER!!
Pls answer ASAP .
Answers
Answer:
1/20!
Step-by-step explanation:
This is a probability question.
There are 5 types of pasta and there are 4 types of flavors.
So the probability of getting bow tie is 1/5 and getting cheese sauce is 1/4
To get both, you need to multiply the types of pasta and flavor
1/20
Help Me Plz A music producer is making a list of vocalists needed to record an album. For each day of recording, a different number of vocalists are needed. The first day, seven vocalists are needed. Each day after that, the number of vocalists needed doubles. The producer must pay by the day for each vocalist. To find the total price, the producer needs to know how many vocalists sang in total at the end of the 10th day. Use a series to find the sum after the 10th day. 7,168 7,161 3,584 3,577
Answers
Answer:
7161
Step-by-step explanation:
Now we need to find the sum for a series
The formula is
Sn = (first term)*(1 - r^n)/(1-r) where n is the number of days and r is the rate
= 7( 1 -2^10)/ (1-2)
= 7( -1023)/-1
= 7161
Answer:
7161
Step-by-step explanation:
I took the test :)
In the figure, if is the angle bisector of ∠SOT, find m∠QOT. answers : A) 46° B) 48° C) 38° D) 42°
Answers
Answer:
B
Step-by-step explanation:
Since QO is the bisector, that means that m∠SOQ = m∠QOT so we can write:
10x + 8 = 14x - 8
-4x + 8 = -8
-4x = -16
x = 4 which means that m∠QOT = 14x - 8 = 14(4) - 8 = 48°.
Please Answer!!! Will give 30 points!!! And brainliest when I can
Answers
The value of X is 3
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
B. 3
Step-by-step explanation:
→You need to get rid of the (-x + 4) in the denominator, and to do so, you must multiply both sides by it:
[tex]\frac{2x-3}{-x+4} =3[/tex]
2x - 3 = 3(-x + 4)
→Distribute the 3 to (-x + 4):
2x - 3 = -3x + 12
→Add 3x to both sides:
5x - 3 = 12
→Add 3 to both sides:
5x = 15
→Divide both sides by 5:
x = 3
answer pls!! thank u
Answers
Answer: See below
Step-by-step explanation:
A linear line is a straight line. It can be going up, down, vertical, or horizontal. As long as it's a straight line, then it is a linear equation. Graph 1 and 5 are linear.
A quadratic graph is a parabola. It is in the shape of a "U". The "U" can be doing up or down. It can also be more than a parabola. Any x to th epower of a number is also a quadratic graph. Graph 2 and 4 are quadratic graphs.
An exponential graph is a graph that is a number to the power of x. These graphs are also continuous. They go towards infinity. Graph 3 and 6 are exponential.