Answer:
when the sum of the squares of the sides are equal to the square of the hypotenuse
Step-by-step explanation:
we use Pythagoras, 97 is the hypotenuse, 65 and 72 the sides.
97² = 65² + 72²
97² = 97²
it is a right triangle
A scanner scanned 72 photos in 8 minutes. If it scans photos at a constant rate, it can scan ___ photos in 23 minutes.
Answer:207
Step-by-step explanation:
First divide 72/8 to find how many photos the scanner scans per minute which is 9
Then you multiply 9 by 23 = 207
express one hour in seconds,in standard form
Answer:
Hi! There are 3600 seconds in one hour.
Step-by-step explanation:
60 min. = one hour
60 seconds = one minute
:)
A paper plate has a diameter of 9 inches. What measure is closest to the area of the plate?
Answer:
63.62 inches squared
Step-by-step explanation:
The formula for the area of a circle is πr^2
r (Radius) is half of the diameter
r = 9/2
r = 4.5in
π x 4.5^2=
π x 20.25 = 63.6172512352
to 2 dp: 63.62 inches squared.
Answer:
The area of a plate with a diameter of 9 is 63.585
Step-by-step explanation:
A = πr² use 3.14 as pi
r = [tex]\frac{1}{2}[/tex] d
[tex]\frac{1}{2}[/tex] × 9 = 4.5
r = 4.5
A = 3.14 × 4.5²
A = 3.14 × 20.25
A = 63.585
Hope this helps!
Consider the graph of the functions f (x) and g (x)
Whats the solution to the equation f (x) = g (x)
A. x=3
B. x=4
C.x=5
D. x-6
Answer:
(5,4)
Step-by-step explanation:
What is the solution of two function?
The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.
How do identify the solution via graph.
We can identify the solution of a system of equations via graph by looking at where the two functions intersect.
Identifying the solution.
Looking at the graph, the two lines intersect at (5,4)
The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)
The rule is
If two lines are graphed then their solution is their intersection point .
Here both f(x) and g(x) are intersecting at
(5,4)So (5,4) is solution
Option C is correct
what’s the geometric mean between 40 and 30????
Hi Student!
In the question we are given two numbers and told to find the geometric mean of them. A normal mean would be just taking the average by multiplying them against each other and dividing by two. However, for geometric mean we multiply them against each other but put them inside of a square root.
[tex]mean = \sqrt{a*b}[/tex]
[tex]mean = \sqrt{40*30}[/tex]
[tex]mean = \sqrt{1200}[/tex]
[tex]mean = \sqrt{20^2*3}[/tex]
[tex]mean = 20\sqrt{3}[/tex]
Therefore, our geometric mean is [tex]34.64[/tex] or [tex]20\sqrt{3}[/tex].
solve the system of equations. {2y=6x
x^2+y=4
Answer: (1,3)and (-4,-12)
Step-by-step explanation:
Envision Math 4th grade topic 16-1
How to simplify the ratio of 40cm : 2m
Race drivers must complete 200 laps in the Daytona 500. if Ticky Bobby only completed 57% of the race, how many laps did he complete?
Answer:
114 laps
Step-by-step explanation:
Multiply 200 x 57% :
200 x 57%200 x 57/1002 x 57114 lapswrite the smallest and greatest 5 digit number 6,8,9,5,3 digit
Answer:
Smallest- 35689
Greatest- 98653
Answer:
35689 =- least
98653 = greatest
Step-by-step explanation:
this is because we want the bigger numkbners to be at the end for the smaller number and vise vera for the greater number,
Find the solution to the equation below.
2x²+3x-20=0
Answer:
[tex]x=\frac{5}{2}[/tex] or x= -4
Step-by-step explanation:
To solve the quadratic equation, start by factorizing it.
[tex]2x^{2} +3x-20=0[/tex]
(2x -5)(x +4)= 0
Since the equation equals to zero, either one of its factor, i.e. (2x -5) or (x +4), can be equal to zero.
2x -5= 0 or x +4= 0
Solve for x:
2x= 5 or x= -4
[tex]\bf{x=\frac{5}{2}}[/tex]
_______
Alternatively, the quadratic formula can be used to solve the equation.
[tex]\boxed{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }[/tex]
This is especially useful when the quadratic equation cannot be factorized. To use the formula, ensure that the equation is in the form of [tex]ax^{2} +bx +c=0[/tex].
Additional:
For an example on solving quadratic equations using the quadratic formula, do check out the following!
https://brainly.com/question/27739892Points P(-10,10) and Q(6,-2) give the diameter of a circle.
Determine the equation of the circle in standard form
The equation of the given circle with points P(-10,10) and Q(6,-2) gives the diameter of a circle will be (x-2)² +(y-4)² = 100.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circle objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given that diameter of the circle is bounded by points P(-10,10) and Q(6,-2).
Centre coordinate = midpoint of P(-10,10) and Q(6,-2).
Midpoint of P(-10,10) and Q(6,-2)
[(-10 + 6)/2 , (10-2)/2 ] = (-2,4 )
Diameter of circle = length between P(-10,10) and Q(6,-2).
lenth between P(-10,10) and Q(6,-2) = 10 units can be calculated by length formula.
The equation of a circle with a center (-2,4 ) and diameter of 10 is given by
(x-2)² +(y-4)² = 10² hence it will be correct.
To learn more about the circle,
https://brainly.com/question/266951
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step right up for a brainilest
Answer:
0, 2/5, 1/6,-3/4,-7/10
Step-by-step explanation:
this is just what i think i didint understand the no spaces or no commas or negatives thing but here you go i hope its right
Johnathan sold hamburgers and hotdogs at the basketball game. each hamburger cost $4.75, and each hot dog cost $2.50. he sells a total of 50 hamburgers and hotdogs. he collects a total of $170. which system of equations can be used to determine how many hamburgers he sold, x, and how many hot dogs he sold, y?
I'm pretty sure it's water bro
Please solve this in a few mins! :)
Answer:
The answer is greater than or equal to 15 which is the third answer.
What transformations would result in the image shown?
Δ ABC is reflected over both axes.
Δ ABC is reflected over the y-axis and translated down 5 units.
Δ ABC is reflected over the x-axis and translated right 5 units.
Δ ABC is translated right 5 units and down 5 units.
Why is cereal is packaged in rectangular boxes?
Answer:
A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.
Step-by-step explanation:
Try writing this on your own words if you want :)
jhon and jack divided their math homework, jhon solved twice as many problems as jack
Answer:
If this is your question: john and jack divided there math homework.John solved twice as many problems as jack plus 1 more problem how many problems did each boy solve if there are 28 assigned problems?
Answer:
John: 19
Jack: 9
Step-by-step explanation:
Hope it helps! God bless!
What is the value of x in this figure?
O x= 30
O x = 40
O x = 60
O I don't know.
Answer:
i guess you know its 40 now. :p
Step-by-step explanation:
what is a foot plus 9 feet plus 20 feet equal too
Answer:
30 ft.
Step-by-step explanation:
1 + 9 + 20
= 30.
Answer: 30
Step-by-step explanation:
1. Simplify 1+9 to 10
10+20
2. Simplify
30
Done! Hope this helps.
Please show me how you got this answer [tex]\sqrt{18a^2}*4\sqrt{3a^2}[/tex]
Answer:
Step-by-step explanation:
Comment
18 factors into 2 * 3 * 3
Both factors have an a^2 under the root sign. The rule for that is take 1 a outside the root sign and throw the other one away.
The same rule applies to the two 3s that factor 18.
What you get is
3a√2 * 4*a*√3
Answer 12a^2 √2 * √3
Answer: 12a^2 * √6
Which of the following correctly uses the Pythagorean Theorem to find the missing side ?
A. 8² + (10)² = 2²
B. X + 8=10
C. x² +8² = (10)²
D. x² + (10)² = 8²
Answer:
C
Step-by-step explanation:
hyp² = opp² + adj²
10² = 8² + x²
I have 60 balls, 12 of them are blue, 34 of them are green and 14 of them are yellow. What is the probability that I get a blue one
Answer: As a fraction it is 1/5 but as a percent 20%
Step-by-step explanation:
this is because 12/60=1/5 or 20%
answer is 20%
heres why
ok so if there is 60 balls all together out of all the color and you want to get a blue ball but the blue has less balls out of all the other colored balls so there is would be a less percent of getting a ball of that color out of 100%
you would need to take the blue color of balls and put in a fraction with the amount of balls together
so that would be 12/60
you half 12/60 and you would need to get the percent which is 20% so you have a 20% of getting a blue colored ball
Question 3
A theatre group sold 4830 tickets for their show
This was 15% more than they sold last year.
How many tickets did they sell last year?
Answer: 4105.5
Step-by-step explanation:
The number of tickets sold in the previous year is 3723.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the theater group sold 4380 tickets and which was 15% more than the tickets sold the previous year.
Therefore, the tickets sold in the previous year is:
4380 - 15% of 4380
= 4380 - 15×4380/100
= 4380 - 657
= 3723
Hence, the number of tickets sold in the previous year is 3723.
Learn more on percentages here:
https://brainly.com/question/14979505
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find the dot product of the pair of vectors and determine whether they are normal. (4,-3) and (-3,-4)
Answer:
normal
Step-by-step explanation:
Dot Product of Vectors
Multiply x-values with x-values and same for the y-values4(-3) + (-3)(-4)-12 + 120As the dot product of the vectors equals 0, the vectors are normal.
please tell me the answer of the question please.
Answer:
total price = 100*80 = 8000
donated = 10 *80 = 800
sold = 90*88 = 7290
pofit = cp - sp
cp = 8000 sp = 7290
= 710
Step-by-step explanation:
Synthetic Division to Find Zeros (Lev 1)
May 25, 1:20:18 PM
Watch help video
If ƒ(x) = x³ – 11x² + 26x — 16 and x – 1 is a factor of f(x), then find all of zeros
If the diameter of a circle is 14 cm then find its 22 circumference.
Answer:
44cm
Step-by-step explanation:
Since, diameter d=14cm
C=πd= 22/7 ×14= 44cm
A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor asks her patients if they would like to take part in a study for a new medication, and 30 patients currently taking medication for cholesterol volunteer to participate.
Which of the following would be an appropriate procedure for this experiment?
A)The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients.
B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.
C)The doctor needs to let the 30 patients choose which medication they are going to take through use of a survey to determine whether they want to participate in the experiment.
D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.
Answer:
B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.
OR
D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.
lim x→∞ √x²+x(2a+2b)+4ab-x
notice : all coefficients and variables are in the root
AND IF YOU CAN'T ANSWER, DON'T ANSWER THIS QUESTION!!!!!
( WITH THE STEPS!)
[tex]\lim \limits_{x \to \infty} \sqrt{x^2 +x(2a+2b) +4ab-x}\\\\\\=\lim \limits_{x \to \infty} \sqrt{x^2 \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}\\\\\\=\sqrt{\lim \limits_{x \to \infty} x^2 \cdot \lim \limits_{x \to \infty} \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}}\\\\\\=\sqrt{ \infty \cdot (1+0+0-0)}\\\\=\sqrt{ \infty \cdot 1}\\\\=\infty[/tex]