Step-by-step explanation:
the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.
and so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse, and a, b being the legs.
so,
the x difference is 9-12 = -3
the y difference is 31-25 = 6
therefore,
distance² = (-3)² + 6² = 9 + 36 = 45
distance = sqrt(45) = 6.708203932...
En la estrella la
suma de los cuatro
números de la línea
es la misma. ¿Cuáles
son los valores de: b
y c?
Sabiendo que en la estrella la suma de los cuatro números de la línea es la misma, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
En primer lugar, sabes que en la estrella la suma de los cuatro números de la línea es la misma.
Por lo que es conveniente escoger aquella línea en donde todos los valores son conocidos, de manera de poder estimar el valor de la suma. De esta manera, se calcula:
12 +1 +2 +15= 30
Entonces la suma en todas las líneas debe dar como resultado 30.
Para calcular el valor de c y d, es preferible elegir aquellas líneas en donde solo aparezca b y donde solo aparezca c.
Entonces, escogiendo aquella línea donde se tiene como incógnita sólo el valor de b y sabiendo que debe sumar 30, se tiene:
12 + (8-3) + 4 + b= 30
Resolviendo:
12 + 5 + 4+ b= 30
21 + b=30
b= 30 - 21
b= 9
Por otro lado, eligiendo aquella línea donde se tiene como incógnita sólo el valor de c y sabiendo que debe sumar 30, se tiene:
15 + 3 +4 + c= 30
22 + c= 30
c=30 - 22
c= 8
Finalmente, se decide verificar en aquellas líneas donde aparecen ambos valores de c y d, o aquellas líneas que no se hayan utilizado previamente, de manera que sumen 30. Entonces:
Primera verificación: 2c +2 +3 +b= 2×8 +2 +3+ 9= 16 +2 +3+ 9= 30
Segunda verificación: 2c +1 +(8-3) +c= 2×8 +1 +5+ 8= 16 +1 +5+ 8= 30
De esta manera se comprueba que en todas las líneas de la estrella la suma de los cuatro números es la misma.
En resumen, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
Aprende más con este problema similar
https://brainly.com/question/25206811?referrer=searchResultsA principal of $2900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 7 years?
Let S = Sum after 13 years
So = amount invested
t = time in years
i = annual interest rate = .0325
The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21
What is the value of x?
Answer:
Option D is correct.
Step-by-step explanation:
We can tell that
[tex]4x + \frac{x}{2} + 2 + \frac{3x-4}{2} = 180[/tex]Now, let's simplify.
=> [tex]4x + 2 + \frac{4x-4}{2} = 180[/tex]
=> [tex]4x + 2 + 2x-2 = 180[/tex]
=> [tex]4x + 2x = 180[/tex]
=> [tex]6x = 180[/tex]
=> [tex]x = 30[/tex]
Therefore, Option D is correct.
Hoped this helped.
How many 1/5 are in 3 1/2?
Answer:
17 1/2
Step-by-step explanation:
3 1/2 / 1/5=17 1/2
Drag the numbers below to put them in order from least to greatest:
8.476
8.33
8.44
8.382
8.341
8.3
Answer:
8.3, 8.33, 8.341, 8.382, 8.44, 8.476
Step-by-step explanation:
Answer:
8. 3<8.33<8.341<8.382<8.44<8.476,hope i help you❤️
please answer fast...
785 divided by 10. AND IF YOU EXPLAIN HOW YOU GOT YOUR ANSWER I WILL GIVE YOU 5 STARS RATING.
Answer:
785/10=78.5
Step-by-step explanation:
You move the decimal point back a slot since your dividing by 10
Answer:
78.5
Step-by-step explanation:
i used a calculator bc im bad at lond division XD
The measure is the angles of a triangle are shown in the figure below. Solve for x
Answer:
30+48+x=180
x=102 ..........
..................
question 4 algebra maths
Answer:
30
Step-by-step explanation:
4(3)^2 +(3*-2)
4*9-6=36-6=30
Answer:
30
Step-by-step explanation:
Substitute x = 3 and y = - 2 into the expression
4x² + xy
= 4(3)² + 3(- 2)
= 4(9) - 6
= 36 - 6
= 30
Part E
While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway? PLzzzzzz HURRRY UUUPPP Ill give whoever answers this RIGHT NOW 100pts, no joke
Answer:
im pretty sure that the answer is -50.5 feet.
Step-by-step explanation:
Find the domain and range of this mapping diagram.
Answer:
Domain: 3,4,5,6
Range: 7,9,11,13
Pairs: (3,7), (4,9), (5,11), (6,13)
Step-by-step explanation:
help me please...
At least an explanation
Answer:
do u still need this question answeered?
Step-by-step explanation:
Jake fills a tank that can hold 200 gallons of water. The tank already has 50 gallons of water in it when Jake starts filling it at the rate of 10 gallons per minute. Karla fills a tank that can hold 300 gallons of water. That tank already has 100 gallons of water in it when Karla starts filling it at the rate of 5 gallons per minute. Jake and Karla start filling the tanks at the same time. How long after they start filling the tanks do the tanks have the same volume of water? What is that volume of water? I
Answer:
Let m represent the number of minutes.
Amount of water in Karla's tank: 100 + 5m
Amount of water in Jake's tank: 50 + 10m
Same amount of water: 100 + 5m = 50 + 10 m
---> 100 = 50 + 5m
---> 50 = 5m
---> 10 = m
In ten minutes, Karla's tank will have 100 + 5(10) = 100 + 50 = 150 gallons.
In ten minutes, Jake's tank will have 50 + 10(10) = 50 + 100 = 150 gallons.
Step-by-step explanation:
hope this helped!
can i get some help:
What is 2/3 divided by 4/9?
Answer:
3/2.Step-by-step explanation:
2/3 ÷ 4/9=> 2/3 x 9/4=> 18/12=> 3/2Conclusion:
Therefore, 2/3 divided by 4/9 is 3/2.
Hoped this helped.
[tex]GeniusUser[/tex]
Answer: 1 1/2
Step-by-step explanation: 2/3/4/9
(2/3)(9/4) 18/12/6/6 3/2 1 1/2
Which of the following is an irrational number?
A
64−−√
B
90−−√
C
25−−√
D
169−−−√
please help
Answer:
sqrt(90) is irrational
Step-by-step explanation:
sqrt(64) = 8
sqrt(90) = 3 sqrt(10)
sqrt(25) =5
sqrt(169)=13
The only one that is not simplified to an integer is sqrt(90)
sqrt(90) is irrational
Which expression is equivalent to
Step-by-step explanation:
(cubic root (x²))⁶ = (x^2/3)⁶ = x^2×6/3 = x^12/3 = x⁴
can anyone please help me with this really quick
Answer:
90
Step-by-step explanation:
The sum of three numbers is equal to 185, so we can start with this equation, where x is the first number, y is the second, and z is the third:
x + y + z = 185
They tell us that y is 5 times greater than x, so we can insert that equation in for y in the original equation:
x + (5x) + z = 185.
And we are told z is 13 less than y, so we can insert that equation as well by using the equation before:
x + (5x) + (5x-13) = 185
So now we can combine like terms and solve for x.
6x + 5x - 13 = 185
11x - 13 = 185
11x = 198
x = 18
But we're not done, we still need to solve for the second number, which is y. So we insert the number for x into the original equation we have for y, which is that it's 5 times greater than x:
y = 5x
y = (5*18)
y = 90
HELP ASAP PLZ
just answer the blanks
Answer:
i hope this helps!
Step-by-step explanation:
What is the measure of Segment AB if Segment BD is 10?*
Answer:
10
Step-by-step explanation:
all sides of square are the same
a produce store sold 32 red apples. if the ration of red apples to green apples sold was 8:3, what is the combined amount ofred and green apples sold?
Answer:
12 apples
Step-by-step explanation:
32/8=4 Then you multiply it by 3 to get 12.
Answer:
41:9
Step-by-step explanation:
You have 32 red apples.
And a ratio of red apples to green.
The ratio is 8:3.
This ratio is a simplified veiw of it.
You need to do,
32 ÷ 8
which equals 3.
So then multiply both sides of the ratio by 3.
8 × 3 is 32
3 × 3 is 9.
Your new ratio is,
32:9
Red apples to green apples.
Now since you need the total amount of apples to green apples.
Add 32 and 9.
Which is 41 total apples.
Your new ratio is,
41:9
Solve for x.
z=(x-8)k
Answer:
z/k + 8 = x
Step-by-step explanation:
z=(x-8)k
Divide both sides by k
z/k = x - 8
Add 8 to both sides
z/k + 8 = x
f(x)=−2x^2+2x−20
Find f(−8)
Answer: -164
Step-by-step explanation:
Answer:-164
Step-by-step explanation:
−2(−8)
2
+2(−8)−20
Plug into each x-value
−
2
(
64
)
+
2
(
−
8
)
−
20
−2(64)+2(−8)−20
Square first
−
128
−
16
−
20
−128−16−20
Multiply
f
(
−
8
)
=
−
164
f(−8)=−164
Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.
Divide 6.72 by 0.041 and round to the nearest hundredth
Answer: 163.90
Step-by-step explanation:
4 km
3 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С:
kilometers
Answer:
5km
Step-by-step explanation:
The formula for hypotenuse is
a squared + b squared = c squared,
4 squared is 16, and 3 squared is 9.
16+9 = c squared
25 = c squared
However, you don't want it to be squared, so you have to find the square root of 25, which is 5.
please can someone help with this
Answer:
true
false
true
true
Step-by-step explanation:
A.
For lines p and q, angles 2 and 3 are corresponding angles, so A is true.
B.
Angles 5 and 7 hare note corresponding angles or alternate interior angles. B is false.
C.
For lines r and s, angles 2 and 4 are corresponding angles, so C is true.
D.
For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.
if there is 26.5 g of sugar in 250ml, how much in 200 ml
One package of blueberries cost $3. How many packages of blueberries can you buy for $9?
Round the answer to the nearest whole number!
Answer:
3 packages
Step-by-step explanation:
To find how many packages you can buy for $9, you have to divide 9 by 3.
Since each package costs $3.
So, 9/3 = 3
So you can buy 3 packages of blueberries.
Answer:
3 Packages
Step-by-step explanation:
1 package costs $3
2 packages cost $6 (because 3+3=6)
3 packages cost $9- And we have exactly $9 so we can buy 3 packages.
Plzzzzz plzzzzzzz help meeee
Answer:
Its correct
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
82. complete the check register for rob anderson. it has a previous balance of $175.40. He wrote check number 312 for $24.39 on November 22 to the barkber shop. The bank made an automatic transfer (AT) of $65.21 on November 25 to pay is cable bill. He made a deposit of $381.22 on November 27. What is the new balance in rob's account?
Answer:
$466.62
Step-by-step explanation:
Balance = $175 - $24.39 - $65.21 + $381.22
Use your calculator to add or subtract each new term as indicated:
$175 - $24.39 = $150.61
Next, subtract $65.21: $150.61 - $65.21 = $85.40
Finally, add $381.22: $85.40 + $381.22 = $466.62
on November 27 the new balance in rob's account became $466.62.