The area of a circle is 144cm².Find the radius
Answer:
It's a decimal, so it's around 6.771cm
Step-by-step explanation:
First, divide 144cm² by pi, or 3.14. Then find the square root of the answer, giving you the radius. The formula for the area of a circle is pi x radius squared, so to find out the radius you just use this formula in reverse.
If I messed up or didn't make my explanation clear, please comment.
Answer:
radius is [tex]\frac{12}{\sqrt{\pi } }[/tex] = 6.77 cm
Step-by-step explanation:
we know,
[tex]\pi[/tex] × r² = Area
⇒ [tex]\pi[/tex] × r² = 144
⇒ r² =[tex]\frac{144}{\pi}[/tex]
⇒ r= [tex]\frac{12}{\sqrt{\pi } }[/tex]
∴ r= [tex]\frac{12}{\sqrt{\pi } }[/tex]
pls mark this as the braniliest
If f(x) = x/2 -3 and g(x) = 3x2 +x-6 find (f+g) (x)
Answer:
A
Step-by-step explanation:
(f+g)(x)=f(x) + g(x)=(x/2)-3+3x^2+x-6=3x^2+(3/2)x-9
Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY
Answer:
y=8 and x=8 ✔3. the check is meant to be square root symbol lol
John runs a computer software store. Yesterday he counted 140 people who walked by the store, 63 of whom came into the store. Of the 63, only 25 bought something in the store.
(a) Estimate the probability that a person who walks by the store will enter the store. (Round your answer to two decimal places.)
(b) Estimate the probability that a person who walks into the store will buy something. (Round your answer to two decimal places.)
(c) Estimate the probability that a person who walks by the store will come in and buy something. (Round your answer to two decimal places.)
(d) Estimate the probability that a person who comes into the store will buy nothing. (Round your answer to two decimal places.)
Answer:
.................
Step-by-step explanation:
............
If the roots of ax² + bx + c = 0 differ by 3. Show that b² =9a² + 4ac
Answer:
Step-by-step explanation:
Marina's father's age is triple her age plus her sister's age, knowing Marina is 12 and her father 48, how old is Marina's sister? write the equation, calculate the age of the marina's sister and identify if they are twins
Answer:
Marina's age = 12
Her father's age = 48
triple Marina's age = 12x3
= 36
The age of Marina's sister
= 48-36
= 12
Therefore, Marina's sister's age is 12
Answer:
no
Step-by-step explanation:
a 800g boulder has a density of 8g/cm^3. What is the volume of the boulder?
Answer:
Below
Step-by-step explanation:
You can use this formula to calculate the volume of an object
Volume = Mass / Density
Plugging everything in...
Volume = 800g / 8 g/cm^3
= 100 cm^3
Hope this helps!
The volume of the boulder will be equal to 100 cubic centimeters.
What are volume and density?A substance's density is defined as its mass per unit volume. The density in other words can be defined as the ratio of mass and volume. Its unit will be kg per cubic meter.
The volume is defined as the space occupied by an object in three-dimensional geometry.
It is given that an 800g boulder has a density of 8g/cm^3. The volume will be calculated by using the formula below:-
Volume = Mass / Density
Volume = 800g / 8 g/cm^3
= 100 cm^3
Therefore, the volume of the boulder will be equal to 100 cubic centimeters.
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Solve the triangle. Round your answers to the nearest tenth.
A. m∠A=41, b=11, c=29
B. m∠A=41, b=13, c=25.9
C. m∠A=41, b=10, c=29
D. m∠A=41, b=13, c=29
Answer:
D
Step-by-step explanation:
use you law of sine
missing angle A = 41
21/sin41=x/sin24 = 13
21/sin41=x/sin115 = 29
The measure of angle A is 41 degrees, the side lengths are 13, and the 29 units option (D) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture
The measure of the angle A = 180 - (115+24)
Angle A = 41 degrees
Using sin law:
21/sin41 = AC/sin24
b = AC = 13 units
21/sin41 = AB/sin115
c = AB = 29
Thus, the measure of angle A is 41 degrees, the side lengths are 13, and the 29 units option (D) is correct.
Learn more about the triangle here:
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The fuel efficiency of a vehicle is 28 miles per gallon and gasoline cost 2.25 per gallon. What is the cost per mile to drive the vehicle?
Answer:
$.08 per mile
Step-by-step explanation:
$2.25 gallon
------------ * ---------------
gallon 28 miles
$2.25
-------------
28 miles
$.080357143 per mile
Rounding to the nearest cent
$.08 per mile
Review the example argument and reasoning below. Identify the form (inductive or deductive) of reasoning and the type (example, analogy, causal correlation, syllogism, sign, or causal generalization) of reasoning Raul uses to justify his argument. Then, apply the three tests of argumentative reasoning (quantity, quality, & opposition) to test this argument.
Raul believes that if someone’s eyes shift to the left when they are responding to a question it is evidence that they are lying. While interviewing Michael, Raul notices Michael's eyes shifting to the left frequently when answering questions. Later, Raul tells a coworker that Michael was not hired because Raul believed Michael had lied about his previous experience during the interview.
Answer:
inductive - . Inductive reasoning makes broad generalizations from specific observations.
casual correlation
quality ( i think)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i just did it
Sandy used these rules to write a 6-digit number.
• 3 in the tens place
• 6 in the hundreds place
1 in the thousands place
• 8 in the ten thousands place
4 in the ones place
• 2 in the hundred thousands place
.
What number did she write?
A. 281,634
B. 361.842
C. 681,234
D. 864,321
9514 1404 393
Answer:
A. 281,634
Step-by-step explanation:
You can identify the number after the first two "rules".
Choices A and C have 3 in the tens place.
Choice A has 6 in the hundreds place.
:) (8x2 + 7y2 – z2 + 2yz + 3xz - 5xy) (2x – 3y) slove this in vertical method
Step-by-step explanation:
8x² + 7y² - z² + 2yz + 3xz - 5xy
x 2x - 3y
-----------------------------------------------
-24x²y - 21y³ + 3yz² - 6y²z - 9xyz + 15xy²
+ 16x³ + 14xy² - 2xz² + 4xyz + 6x²z - 10x²y
-----------------------------------------------------------
16x³-21y³-34x²y+6x²z+29y²x-6y²z-2xz²+3yz²-5xyz
Find an equation for the perpendicular bisector of the line segment whose endpoints are ( − 1 , − 1 ) (−1,−1) and ( 9 , 7 ) (9,7)
Answer:
Place the compass at one end of line segment.
Adjust the compass to slightly longer than half the line segment length.
Draw arcs above and below the line.
Keeping the same compass width, draw arcs from other end of line.
Place ruler where the arcs cross, and draw the line segment.
Answer:
y = - [tex]\frac{5}{4}[/tex] x + 8
Step-by-step explanation:
The perpendicular bisector intersects the line segment at its midpoint and is perpendicular to it.
Using the midpoint formula
M = ( [tex]\frac{x_{}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (9, 7)
midpoint = ( [tex]\frac{-1+9}{2}[/tex], [tex]\frac{-1+7}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (4, 3 )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (9, 7)
m = [tex]\frac{7-(-1)}{9-(-1)}[/tex] = [tex]\frac{7+1}{9+1}[/tex] = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] , then
y = - [tex]\frac{5}{4}[/tex] x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = - 5 + c ⇒ c = 3 + 5 = 8
y = - [tex]\frac{5}{4}[/tex] x + 8 ← equation of perpendicular bisector
What is the
range of the function in the graph?
Answer:
Step-by-step explanation:
A resposta é a letra a
A movie theater has a seating capacity of 333. The theater charges $5.00 for children, $7.00 for students,
and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $
2422, How many children, students, and adults attended?
Answer:
182 children, 91 adults, 60 students
Step-by-step explanation:
The quantity of adults is x, then the quantity of children are 2x, the quantity of students is 333-x-2x=333-3x. The charge from all adults is 12x, students gave 7*(333-3x), children gave 5*2x=10x, the sum of all money is 2422
12x+ 7(333-3x)+10x=2422
12x+2331-21x+10x=2422
2331+x=2422
x=91- the amount of adults
1) 91*2=182- the amount of children
333-91-182= 60- the amount of students
The equation of the line L is 2y-x=10.Find the coordinates of the point where L intersects the y-axis
Equation:- 2y-x=10
For L to intersects Y axis then X cordinate must be zero
so put value of X as zero (0)
2y=10
So Y cordinate is equal to 5
Cordinate:- (0,5)
In a 2-digit number, the tens digit is 5 less than the units digit. If you reverse the number, the result is 7 greater than double the original number. Find the original number.
The original number is 38
A 2-digit number can be written as:
N = a*10 + b*1
Where a is the tens digit, and b is the units digit, these two are single-digit numbers.
We know that:
"the tens digit is 5 less than the units digit."
This means that:
a = b - 5
(notice that a must be larger than zero and smaller than 10, from this, we can conclude that b is a number in the range {6, 7, 8, 9})
"If you reverse the number, the result is 7 greater than double the original number"
The reverse number is:
b*10 + a
and this is 7 greater than 2 times the original number, then:
b*10 + a = 7 + 2*(a*10 + b)
Then we found two equations:
a = b - 5
b*10 + a = 7 + 2*(a*10 + b)
Replacing the first equation in the second, we get:
b*10 + (b - 5) = 7 + 2*((b - 5)*10 + b)
Now let's solve that:
b*10 + b - 5 = 7 + 2*(11*b - 50)
11*b - 5 = 7 + 22*b - 100
-5 - 7 + 100 = 22*b - 11*b
88 = 11*b
88/11 = b = 8
Now that we know that b = 8, we can use the equation:
a= b - 5
a = 8 -5 = 3
Then the original number is:
a*10 + b = 3*10 + 8 = 38
The original number is 38
If you want to read more about this, you can see:
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Map Reading. A map is drawn so that every 3.3 inches on the map corresponds to an actual distance of 120
miles. If the actual distance between the two cities is 440 miles, how far apărt are they on the map?
The two cities are
inches apart on the map.
I need help figuring out this equation
270 degrees is at the bottom of the unit circle, and it splits the 3rd and 4th quadrants.
Its terminal point is (0, -1).
Hope this helps!
Answer:
A. (0, -1)
Step-by-step explanation:
This question requires a chart to answer. The chart is inserted in the answer.
270 degrees is all the way at the bottom, at South which shows that 270 degrees is at (0, -1).
Meaning, the answer is A, (0, -1).
Hope this helped.
What is the value of x?
Answer:
x=30°
hopefully this answer can help you to answer the next question
Find the lengths of AD, EF, and BC in the trapezoid below.
We know that,
[tex]EF=\dfrac{AD+BC}{2}[/tex]
which is
[tex]x=\dfrac{x-5+2x-4}{2}[/tex]
Now solve for x,
[tex]x=\dfrac{3x-9}{2}[/tex]
[tex]2x=3x-9[/tex]
[tex]x=9[/tex]
Since x is 9, the lengths are,
[tex]AD=x-5=9-5=\boxed{4}[/tex]
[tex]EF=x=\boxed{9}[/tex]
[tex]BC=2x-4=18-4=\boxed{14}[/tex]
Hope this helps :)
Verify the identity algebraically:
Csc(-x)tanx =-secx
Step-by-step explanation:
Recall that
[tex]\sin(-x) = -\sin x[/tex]
Therefore,
[tex]\csc(-x) = \dfrac{1}{\sin(-x)} = -\dfrac{1}{\sin x}[/tex]
so
[tex]\csc(-x)\tan x = \left(-\dfrac{1}{\sin x}\right)\left(\dfrac{\sin x}{\cos x}\right)[/tex]
[tex]\:\:\:\:\:\:\:\:\:= -\dfrac{1}{\cos x} = -\sec x[/tex]
NEED ANSWER ASAP!!!!
Answer:
y=4x+64
Step-by-step explanation:
The slope intercept form is y=mx+b, m being the slope and b being the y-intercept
The line intersects the y axis at (0, 64), so the y intercept is 64
To find the slope, find the change in y over the change in x
The y decreases by 16 every time the x increases by 4
SO the slope is 16/4, simplified to 4
y=4x+64
Which of the following statements justifies why the triangle shown below is
not a right triangle?
A. BC
B. BC + AC < AB
C. 62 +112 +152
D. AC< AB
Answer:
Option C
Step-by-step explanation:
As per Pythagorean theorem
[tex]\\ \sf\longmapsto 6^2+11^2=15^2[/tex]
[tex]\\ \sf\longmapsto 36+121=225[/tex]
[tex]\\ \sf\longmapsto 157\neq225[/tex]
So
[tex]\\ \sf\longmapsto 6^2+11^2\neq 15^2[/tex]
find the surface area of the cylinder and round to nearest tenth HURRY HURRY
Answer:
The original answer is 18.85 and rounded to the nearest tenth is 18.9 ft squared.
Answer:
ok let's get going
surface area of cylinder is
2 pi r h + 2 pi r^2
now given = > h = 2 and r = 2/2 = 1
now what we do is insert in formula
so
2 pi * 1 * 2 + 2 pi 1^2
4pi + 2 pi
6 pi
now solving 6 pi
6 * 3.14 =>
18.84 ft^2
enjoy with ans;) and if u get time makr it brainliest
Fill in this blank spaces (1,3,5,7,9 , 11, 13, 15) _+_+_=30
Step-by-step explanation:
Just till the number 9 upside down to make it 6 then
6+11+13=30
The sum of three odd numbers can never be even. so I did it in that way.
I HOPE THIS WILL HELP U
STAY SAFE, STAY HAPPY
find the angle vector of 7j +10 k,i +6j+6k,-4i+9j+6k
Answer:
Right angled and isosceles
Simplify the following expression.
3(2k + 3) -8k + 5 + 5
Answer:
Step-by-step explanation:
3*(2k + 3) - 8k + 5 + 5 Remove the brackets on the left
6k + 9 - 8k + 5 + 5 Combine like terms
6k-8k+9 + 5 + 5
-2k + 19
A line passes through the point (-1, -9) and has a slope of -7.
What would be the equation for this line?
Answer:
y = -7x - 16
Step-by-step explanation:
The formula for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. Since we already know the slope, all that is left is the value of b, which can be found by substituting the values of the point (-1, -9) into the equation and solving:
[tex]-9=-7(-1)+b[/tex]
[tex]-9=7+b[/tex]
[tex]b=-9-7=-16[/tex]
With this, we get the value -16, making the equation y = -7x - 16
pls halllllllpppppppp
Answer:
85 degrees
Step-by-step explanation:
To find the range, take the high temperature and subtract the low temperature
40 - -45
40 + 45
85
The range is 85 degrees
Answer:
85
Step-by-step explanation:
The definition of range is the subtraction between the highest and lowest numbers.
In this problem, there are only two numbers so they will be subtracted.
40 - -45
40 + 45 = 85
The range is 85.
Hope this helped.