Answers
Answer:
PQ ≈ 10.6 cm
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)
PQ = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]
= [tex]\sqrt{(-8)^2+7^2}[/tex]
= [tex]\sqrt{64+49}[/tex]
= [tex]\sqrt{113}[/tex]
≈ 10.6 ( to 1 dec. place )
Related Questions
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the raining fuel is 1.5 gallons or less. write an inequality to determine the number of days diego's father can drive the car without the warning light coming on.
Answers
Answer:
0.5n < 12.5
n < 25 days
Step-by-step explanation:
Total gallons of fuel = 14 gallons
Warning light comes on when the remaining fuel is 1.5 gallons or less
Gallons of fuel used without warning light = 14 gallons - 1.5 gallons
= 12.5 gallons
Gallons of fuel used per day = 0.5 gallons
Number of days = n
inequality to determine the number of days diego's father can drive the car without the warning light coming on.
0.5n < 12.5
n < 12.5/0.5
n < 25 days
Please help and no links please
Answers
Answer:
sorry i can't clear
F1.8
19.
Sam has a cylindrical fish tank with
an open top. The tank has height
30cm and radius 20cm. What is the
total surface area of the tank?
Answers
Answer:
area of cylinder =2πrh+2πrsqr
=2×22/7×20×30+2×22/7×20×20
=26400/7+17600/7
=44000/7
=6285.714cm
Answer:
5024 cm²Step-by-step explanation:
Total surface area includes one base only as it is open top
S = πr² + 2πrhS = 3.14*20² + 2*3.14*20*30 = 5024 cm²suppose I have a 30, 60, 90 right triangle. The hypotenuse is 10 units long. How long are the other sides?
a) short leg = 5; long leg = 5 √2
b) short and long leg = 5 √2
c) short leg = 5; long leg = 5 √3
d) short leg = 5; long leg =8
Answers
Answer:
option c
Step-by-step explanation:
The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.
⇒ sin 30 = p/h
⇒ 1/2 = p/10
⇒ p = 10/2
⇒ p = 5
Using Cosine now ,
⇒ cos 30° = b/h
⇒ √3/2 = b/10
⇒ b = √3/2 × 10
⇒ b = 5√3
Short leg = 5Long leg = 5√3 Hence option C is correct.Answer:
c) short leg = 5; long leg = 5 √3
Step-by-step explanation:
How long are the other sides?
short leg = 5; long leg = 5 √3
Hailey invested $95,000 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 % compounded continuously. Brooklyn invested $95,000 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded monthly. After 10 years, how much more money would Hailey have in her account than Brooklyn, to the nearest dollar?
Answers
Answer:12220
Step-by-step explanation:
Evaluate the following expression.
6 x [(16 + 29) / 9 -3]
Answers
Answer:
45
Step-by-step explanation:
6 × [45 / 9-3]
6×45/6
270/6
45
Answer:
45
Step-by-step explanation:
6 x (16 + 29) / 9 - 3)
16 + 29 = 45
9 - 3 = 6
45/6 = 7.5
6 x 7.5 = 45
Let me know if this helps!
what is the solution to the problem
x + 8.63 = 11.001
Answers
Answer:
x=2.371
Step-by-step explanation:
Subtract 8.63 from both sides
x+8.63-8.63=11.001-8.63
x=11.001-8.63
x=2.371
Evaluate -2(|2|-(-3)(-4))
Answers
i hope this helps!!
Mrs. Williams has 3 pink pens, 2 orange pens, and 4 blue pens. What is the ratio of blue pens to total pens?
Answers
Answer:
4/9
Step-by-step explanation:
u just add all the numbers then take the blue pens
step by step- add all the pens together, then count the blue pens and do the blue pen amount to the whole amount
which hemisphere is tilted towards the sun in december?!
Answers
Answer:
Northern Hemisphere
Step-by-step explanation:
The tilt's orientation with respect to space does not change during the year; thus, the Northern Hemisphere is tilted toward the sun in June and away from the sun in December, as illustrated in the graphic below.
Answer:
ThThe southern hemisphere
Step-by-step explanation:
What is the value of 0.3⁴?
Answers
Find the value of x in the triangle shown below.
C =
56
31
x
Answers
What is the equation of the circle shown?
Answers
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r = [tex]\sqrt{(-2+4)^2+(4 -2)^2}[/tex]
= [tex]\sqrt{2^2+2^2}[/tex]
= [tex]\sqrt{8}[/tex] , then r² = ([tex]\sqrt{8}[/tex] )² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle
I need help bois like i dont know what to do what to do
Answers
Answer:
the answer is A
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
the two triangles are the basically the same
A laptop computer is on sale for 10% off the original price
of $1,500 and a 7.25% sales tax is added after the
discount. What is the total cost?
Answers
Answer:
$1,252.13 I believe or $1,252
Step-by-step explanation:
Multiply the 1500 by .10 and you'll get 150
Now subtract that from 1500 that's 1350
.0725 multiplyed by 1350 is 97.875
Subtract that from 1350 and you'll get the answer!
plz help asap
click it to make it big
Answers
Answer:
d no association
Step-by-step explanation:
Topher has of a whole pizza. How many 's of a whole pizza are there in of a whole pizza?
Answers
Answer:
huh
Step-by-step explanation:
hey man. do me a favor and solve . thanx man
Answers
Answer:
16964.6
Step-by-step explanation:
V=3.14×r2×h r is half remember!
14476 as a percentage
Answers
Answer: 1447600%
Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign
David leaves the supermarket at 1810
He drives 20 miles to his home.
The speed limit for the journey is 30 mph.
David drives within the speed limit.
(b) Can David get home before 1900?
Give reasons for your answer.
Answers
Answer:
The total distance David has to travel 20 miles.
The speed limit is 30 mph. He leaves supermarket at 18 10 , he has 50 minutes to get home before 1900.
when traveling within the speed limit he can reach on time because he has to travel only 20 miles which is possible and it won't take him 1 hour according to the 30 mph speed limit.
This is due today please help.
What is the area of the shape.
Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2
Answers
24+6=30
9-6=3
3x4=12/2=6
6x4=24
30 yd^2
What is the value of x?
Answers
Answer:
C) [tex]8\sqrt{2}[/tex]
Step-by-step explanation:
Answer:
8√2
Step-by-step explanation:
The 45-45-90 triangle theorem states that the two congruent sides of an isoceles right triangle are the same, and the hypotenuse of the triangle is √2 times more than the common side. So, if the common side is 8, then the hypotenuse is 8√2.
Choose the student who combined like terms correctly to write an equivalent expression. 5 + C + C + C -4. Melvin's work Sabrina's work Sudesha's work Zisel's work 5 + C + C + C - 4 5 + C + C + C-4 O 5 + C + C + C - 4 5+ C + C + C - 4 = 90 = 30 +1 = 4c = c + 1
Answers
Answer:
Sabrinas work
Step-by-step explanation:
5+c+c+c-4
5+3c-4
=3c+1
What is the mode interval for the histogram? 50 - 59 90 - 100 80 - 89 10
Answers
Answer:
mode = 90 - 100Step-by-step explanation:
because ( 90 - 100 ) frequency is greater than all other intervals.
The mode interval for the histogram is (90 - 100).
Option B is the correct answer.
What is a histogram?A histogram is a representation of the distribution of data with intervals.
We have,
Mode interval in a histogram is the interval in which the values of the data occur the most.
Now,
From the histogram, we see that,
The interval (90 - 100) has the most date values.
Thus,
The mode interval is (90- 100).
Learn more about histograms here:
https://brainly.com/question/16819077
#SPJ2
help pleaseeeeeeeeee
Answers
Answer:
non of these choices I guess
x - 3y = 6
2x + 4y = 2
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A) 4
B) -4
C) 2
D) -2
Answers
Shdbe
Please I need the answer and no links answers for both!!
Answers
For 7) False 42
Helppppppp
14. Rob uses free weights at the gym every 3 days and he uses the weight machines every 5 days.
Today Rob used both free weights and the weight machines. How many days will it be before he uses
both kinds of weights on the same day again?
Answers
Answer:
15 days
Step-by-step explanation:
Since he used both of the weights today, he will only do both on the day they come together.
weights: 3 days, 6 days, 9 days, 12 days, 15 days
machine: 5 days, 10 days, 15 days
Because the numbers both were the same on 15 days, then that is when he will do both of them
Cuál es el mayor número que cumple con todas las siguientes condiciones? Es menor que 1.000.000, todas sus cifras son números pares y solo el 8 está repetido una vez y termina en 22.
Answers
Answer:
El mayor número que cumple con las condiciones dadas es 866.622.
Step-by-step explanation:
Para determinar cuál es el mayor número que es menor que 1.000.000, todas sus cifras son números pares y solo el 8 está repetido una vez y termina en 22, se deben realizar los siguientes razonamientos lógicos:
1) Menor que 1.000.000 = Todos los números desde 0 hasta 999.999.
2)Todas sus cifras son números pares = No puede incluir los número 1, 3, 5, 7 o 9.
3) El 8 (mayor número par disponible) solo está repetido una vez = Debe iniciar con 8.
4) Termina en 22 = 8XX.X22
Con todos los datos planteados, el mayor número que cumple con las condiciones dadas es 866.622.
HELPPPPP PLSSSS. I’m in need of help ;-;
Answers
Answer:
B is the correct answer
Step-by-step explanation:
Simple algebra.
Find the area by multiplying the sides and divide by 2 since, the question asks for half a sail.