The ratio of dogs to cats at a pet store is 11: 4. If there are 90 total pets (dogs and cats), how many cats are there?
Answer:
number of cats
[tex]90 \times \frac{4}{15} \\ 24cats[/tex]
The points (1, 4) and (−3, 2) are the endpoints of a diameter of a circle. What is the equation of the circle?
Answer:
Step by step
Step-by-step explanation:
Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.
That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)
Distance between the given points give the diameter and half of that is the radius length.
So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)
Thus equation required is: (x-a)^2 + (y-b)^2 = r^2
So, (x+1)^2 + (y-3)^2 = 5
The equation of the circle is (x + 1)² + (y - 3)² = 5
How to determine the circle equation?The endpoints of the diameter are given as:
(1, 4) and (−3, 2)
Start by calculating the midpoint using:
Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)
So, we have:
Midpoint = 0.5 * (1 - 3, 4 + 2)
Evaluate
Midpoint = (-1, 3)
So, the center (a,b) of the circle is:
(a,b) = (-1,3)
Calculate the length of the diameter using:
D² =(x₁ - x₂)² + (y₁ - y₂)²
This gives
D² = (1 + 3)² + (4 - 2)²
D² = 20
Take the square roots
D = 2√5
Divide by 2 to calculate the radius
r = √5
Square both sides
r² = 5
The equation of the circle is then represented as:
(x - a)² + (y - b)² = r²
This gives
(x + 1)² + (y - 3)² = 5
Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5
Read more about circle equations at:
https://brainly.com/question/1559324
Please help me complete it PLEASE ASAP!!!!!!!!!
Which set of ordered pairs do not represent a function
its (-4,2),(3,3),(-2,2),(-1,2),(0,2,(1,2)
A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?
a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg
Need help :::::::::::::::::
Answer:
2/3
Step-by-step explanation:
First, we read the two points with circles off the graph.
They are (-4, -5) and (5, 1).
slope = (y2 - y1)/(x2 - x1) = (-5 - 1)/(-4 - 5) = -6/(-9) = 2/3
Answer: 2/3
which number is the closest approximate value for sqrt 105
Answer:
10.
Step-by-step explanation:
Lets define a square root. A square root is a number multiplied by itself. 10 x 10 = 100, this is the closest we can get to 105, therefore 10 is the answer.
PLEASE HELP ME WITH ALGEBRA! THANK YOU
Answer:
She will do 61 sit ups.
Step-by-step explanation:
The number of situps are increasing by 4 each day.
So at this rate...
Day 6: 37
Day 7: 41
Day 8: 45
Day 9: 49
Day 10: 53
Day 11: 57
Day 12: 61
x = -0.25 and y = -6
Solve the expression: xy
Answer:
If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5
Hope this helps!
6) From a point on the ground 15 ft. From the base of a flagpole, the angle of elevation of the top of the pole measures 57°. How tall is the flagpole?
Answer:23.1 ft
Step-by-step explanation:
Given
Point is 15 ft away from the base of the flagpole
The angle of elevation is [tex]57^{\circ}[/tex]
from the figure, we can write
[tex]\Rightarrow \tan 57^{\circ}=\frac{Y}{15}\\\\\Rightarrow Y=15\times \tan 57^{\circ}=23.09\approx 23.1\ ft[/tex]
The length of the flagpole is 23.1 ft
Triangle congruence and similarity. PICTURE INCLUDED* SAS, SSS, ASA, or AAS
Answer:
Yes. SSS
Step-by-step explanation:
The dilation factor is to multiply by 3, from the smaller to larger triangle. This proves they are similar.
AA is not an accurate postulate.
What is the height of a cylinder with a volume of 384x cubic inches and a radius of 8 inches? Round to the nearest tenth of an inch. inches
Answer: what's the x after 384?
Step-by-step explanation:
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it's 5 days, if you need an explanation feel free
Answer:
5 days
Step-by-step explanation:
for 100 people------------ last for 8 days
for 1 person-----------------last for 8x100=800 days
Therefore, for 160 people----------------last for(800/160)=5 days.
Please help me with this cuz I don't know what to do
Answer:
x = 3
Step-by-step explanation:
will give brainliest! number 4 it’s the pythagorean theorem
What is the simplified form of this expression? `sqrt(8x^3 + 24x^2 + 18x)` A. ±(2x + 3)`sqrt(2x)` B. ±(4x + 6) `sqrt(2x)` C. ±(2x + 3)`sqrt(x)` D. ±(4x + 6)`sqrt(x)`
Answer: B
`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`
(a) Use the scale to change 40 kilometres to miles.
Answer:
24.85 miles40 Km is 24.85 miles
Para fazer um serviço de operário leva 70 dias . Se trabalhou 25 dias num mês e 24 dias no outro mês , quantos dias faltam para ele terminar o serviço?
Responda:
21 dias
Explicação passo a passo:
Total de dias necessários = 70 dias
Dias usados no mês 1 = 25 dias
Dias usados no mês 2 = 24 dias
Dias usados no total = 24 + 25 = 49 dias
Dias restantes :
70 dias - 49 dias
= 21 dias
Find AC please and thank you.
Answer:
AC=AB+BC
=3X+1+9
=3X+10
Pllzzz help 6 mins left
Answer:
4
Step-by-step explanation:
I hate how i have to write things here
Answer: Question 1 is m=-7/4
Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)
Step-by-step explanation:
Find an overestimate for 33 x 67 by adjusting each factor up to the next ten.
Answer:
210 is my estimate
Step-by-step explanation:
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Step-by-step explanation:
sorry dude my last brain cell ran after exam
An aircraft flies due north from West to Z if y is equidistant from X and Z, find the bearing of X and Z
Solve for x in the diagram below.
Answer:
x = 20°
Step-by-step explanation:
here's your solution
=> it is given that whole angle is 90°
=> so, x + (3x + 10) = 90°
=> x + 3x + 10 = 90°
=> 4x + 10 = 90°
=>4x = 90 - 10
=> 4x = 80°
=.
=> x = 80/4
=> x = 20°
one angle is 20° and other 70°
hope it helps
Answer:
20 is your answer
x+3x+10=90 being right angle
4x=90-10
x=80/4=20
How many roots does y=3x^2+8 have?
Answer:
This quadratic has two unequal, imaginary roots.
Step-by-step explanation:
y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots. In this case they happen to be different (unequal), as well as imaginary.
Setting y = 3x^2 + 8 = 0, we get:
3x^2 = -8, or
x^2 = -8/3
Taking the square root of both sides, we get
x = ±i√(8/3) (2 imaginary roots)
Which would be the first step for solving the equation x + 2 = 18?
A. add - 2 to both sides of the equation
B. add 18 to both sides of the equation
c.
divide both sides of the equation by
7
16
D
multiply both sides of the equation by
7
Answer:
A. Add -2 to both sides
Step-by-step explanation:
The reason you need to add -2 to both sides is because if you add -2 to -2 it cancels out and you are left with x=18. But you need to add -2 to 18 too because them the equation won't be equal anymore.
-4x+y=23 and 4x-9y=-15
Answer: x= -6; y= -1
Step-by-step explanation:
-4x + y = 23
4x - 9y = - 15
-4x + y = 23
y = 23 + 4x [Add 4x to both side]
4x - 9(23 + 4x) = - 15
4x - 207 - 36x = - 15
-32x - 207 = -15
-32x = 192 [Add 207 to both side]
x = -6 [Divide -32 from both side]
-4x + y = 23
-4(-6) + y = 23 [Plug in -6 for x]
24 + y = 23 [Subtract 24 from both side]
y = -1
Someone help, I don't understand what trig ratio to use, or how to get the answer to w or x
Answer:
Uhm I think you need to like times the 10 to the 56? erm yeaaaaaaa SOrry if you get it wrong
Step-by-step explanation:
Answer:
1:2
Step-by-step explanation:
56*10= 560
34+56= 90
90*10= 900
X is about 2 times the size of W so it would be
1:2 (W:X)
I think i am right, i may be wrong i haven't exactly learned this yet, i am just going off by what i know. sorry if i am wrong
Please help i'm in a hurry
Answer:
3) cos A = 12/13 = 0.9231
1) sin A = 5/13 = 0.3846
2) tan C = 12/5 = 2.4000
Step-by-step explanation: