Answer:
The answer is 8.......!!
The area of a circle is 49π in². What is the circumference, in inches? Express your answer in terms of \piπ.
area of circle = π r²
π r²= 49 π
r²= 49 r= √49 r= 7
circumference of circle = 2 π r
= 2×7 × π
= 14 π
The circumference of a circle is 14π.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of πr.
The area of a circle is πr².
We have,
Area of a circle = 49π in².
Area of a circle = πr²
Now,
πr² = 49π
r² = 49
r = 7
Now,
Circumference of a circle.
= 2πr
= 2π x 7
= 14π
Thus,
The circumference of a circle is 14π.
Learn more about circle here:
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PLEASE HELP AND QUICK WITH SHOWING THE WORK
Answer:
1. g=0
2. t=-11
3. v=56
4. d=-27
Step-by-step explanation:
1. add 4 to both sides
2. divide both sides by -5
3. multiply both sides by -7
4. multiply both sides by -3
Answer:1) g=0
2)t=-11
3)v=56
4)d=-27
Step-by-step explanation:
1) add 4 to both sides, g=0
2)divide by -5 on both sides to isolate the variable
3) multiply by the reciprocal (opposite) of -1/7 which is -7 on both sides to get 56
4) multiply by the denominator on both sides, so -3 to get -27
HELP PLEASE!! I NEED ANSWER SOON!!!!!
Which of the following is true about the expression sqrt3*sqrt12?
A.It represents the product of two irrational numbers and is equivalent to a rational number.
B.It represents the product of two irrational numbers and is equivalent to an irrational number.
C.It represents the product of two rational numbers and is equivalent to a rational number.
D.It represents the product of two rational numbers and is equivalent to an irrational number.
Answer:
A. is correct
Step-by-step explanation:
sqrt3*sqrt12 can be rewritten as √3·√12, which can be extended to
√3·√3·√4.
Note that √4 = 2 and that (√3)^2 = 3,
so the final result is 2*3, or 6 (a rational number).
A. is correct: √3 and √12 are both irrational, but their product is rational.
What is the x- coordinate of point X
Answer:
abscissa
I know because intoke the test and it had the same answer in it
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, 1). (3 points)
y = negative 1 over 2 x − 1 over 2
y = 2x + -5
y = − 1 over 2 x − 7 over 2
y = 2x − 8
Answer:
y=2x+-5. I think.
Step-by-step explanation:
3(x+2)^2=48 with word steps
Answer:
Divide both sides by 3.
(x+2)^2=16
Square root both sides.
x+2= ± 4 (plus OR minus, can be either so we have to include both)
Minus 2 from both sides.
x=-2 ± 4
Add and minus the 4 to -2.
x = -2-4 = -6 and x=-2+4 = 2
Answer: x = -6, x = 2
Step-by-step explanation:
3(x+2)^2 = 48
(X+2)^2 = 16 —> divide both sides by 3.
(X+2) = 4 or -4 —> take square root. Remember plus or minus!
X + 2 = 4 —> make (x+2) equal to 4.
X = 2 <— solution.
X + 2 = -4 —> make (x+2) equal to -4.
X = -6 <— solution.
oque apresenta caracteristicas cultural
Answer:
iniciações, tradições, história, valores e princípios, propósito, símbolos e limites.
Step-by-step explanation:
Brainliest PLSSS
-5 1/2 + 6 3/4 + (-4 1/4)
Answer:
-3
Step-by-step explanation:
-5 1/2 + 6 3/4 - 4 1/4
= 1 1/4 - 4 1/4
= -3
A train covers a distance of 51 km in 45 minutes. How long will it take to cover 221 km?
Answer:
A train covers a distance of 51km in 45 minutes how long will it take to cover 221km. :. Total time it will take to cover 221 km= 195 minutes i.e. 3 hours 15 minutes. Hope it helps
An arts academy requires there to be 5 teachers for every 100 students and 3 tutors for every 36 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 96?
Answer:
20 students per teacher, 12 students per tutors, and 8 tutors for 96 students
Step-by-step explanation:
100/5=20
36/3=12
96/12=8
A number five times is twenty
five.
(write the equation )
Answer:
5x=25
Step-by-step explanation:
if you need the answer
5x5=25
5+5+5+5+5=25
Can SOMBODY please help me with this?
Find the gradient of the line segment between the points (-6,2) and (4,3).
Give your answer in its simplest form.
Gradient = 0.1
Step-by-step explanation:
ΔX = 4 – -6 = 10
ΔY = 3 – 2 = 1
Gradient = m = ΔY/ ΔX = 1/10 = 0.1
The gradient of a line segment is a measure of how steep the line is. A line with a large gradient will be steep; a line with a small gradient will be relatively shallow; and a line with zero gradient will be horizontal.
What is the value of x?
Answer:
sum of angles in a triangle is 180
so 55+80+x=180
135+x=189
x=180-135
x=45
PLZ HELP U WILL GET POINTS IF CORRECT ILL GIVE BRAINLIEST
Answer:
8 & 1/3
Step-by-step explanation
Answer:
14/3+11/3=25/3=8 1/3
Step-by-step explanation:
A population of ants is 10,000 at the start of April. Since then, it triples each month.
Month since April Number of Ants
0
1
2
3
4
Answer:
Month since April Number of Ants
0 10,000
1 30,000
2 90,000
3 270,000
4 810,000
Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.
0 months from April = 10,000 * 1 = 10,000 ants
1 month from April = 10,000 * 3 = 30,000 ants
2 months from April = 30,000 * 3 = 90,000 ants
3 months from April = 90,000 * 3 = 270,000 ants
4 months from April = 270,000 * 3 = 810,000
PLEASE HELP
Sarah gets a job paying $32,000 a year with the promise of a pay increase of 4% per year.
a. Write a recursive routine to help find Sarah's yearly pay each year.
Start with: 32000
Rule: Multiply by 1.04
b. To the nearest dollar, how much will Sarah make year 5?
c. During what year will Sarah first make more than $40,000 per year?
Answer:
a) P(x) = 32000*1.04^xb) $37435c) During year 7Step-by-step explanation:
Given
Initial pay = $32000Increase rate = 4%a. Formula
P(x) = 32000*1.04^xb. Year 5 is after 4 years, so we are looking for the value of P(4)
P(4) = $32000*1.04^4 = $37435c. P(x) = 40000, x = ?
40000 = 32000*1.04^x1.04^x = 40000/320001.04^x = 1.25log 1.04^x = log 1.25x = log 1.25 / log 1.04x = 5.69, this is 6 years afterThe required number of the years is 6 + 1 = 7
The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
Answer:
a) Side lengths
= GH = 5 units
HI = 6 units
GI = 7.81 units
b) Angle measures
Angle G = 39.81°
Angle H = 90°
Angle I = 50.2°
Step-by-step explanation:
The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
Step 1
We find the side lengths using the coordinates formula
= √(x2 - x1)² + (y2 - y1)²
When we are given vertices (x1, y1) and (x2 , y2)
Coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8).
For side length
GH = G(−7,2), H(−2,2)
= √(-2 - (-7))² + (2 - 2)²
= √(-2 + 7)² + (0)²
= √5²
= √25
= 5 units
For side length HI
HI = H(−2,2), and I(−2,8)
= √(-2 -(-2))² + (8 - 2)²
= √(0)² + (6)²
= √36
= 6 units
For side length GI
G(−7,2), I(−2,8)
= √(-2 -(-7))² + (8 - 2)²
= √(5)² + (6)²
= √25 + 36
= √61
= 7.81 units
Step 2
Angle measures
We find this using Cosine rules
Angle a = arc cos (b² + c² - a²/2bc)
Hence:
Finding
Angle G = arc cos (6² + 7.81² - 5² / 2 × 6 × 7.81)
= 39.81°
Angle H = arc cos (5² + 6² - 7.81² / 2 × 5 × 6)
= 90°
Angle I = arc cos (5² + 7.81² - 5² / 2 × 5 × 7.81)
= 50.2°
Answer:
GH = 5, HI = 6, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°
Step-by-step explanation:
There are 12 cats and 11 dogs at the shelter. What is the ratio of cats to all animals?
Manny bought a two liter bottle of soda. He poured 1/4 of the bottle into his cup. How much soda does Manny have left in the bottle
Henry was thinking of a number. Henry doubles it, then adds 4 to get an answer of 43.5. What was the original number
Answer:
17.75
Step-by-step explanation:
43.5 divided by 2 is 21.75
21.75 minus 4 equals 17.75
You're basically just using reverse operations to get back to the original number.
I need help I need help on this question
Answer: Option B
Step-by-step explanation:
Find the measure of FEG 25,65,80,90
Answer:
First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.
5x = 3x+10 The variable should only be on one side of the equation,
5x - 3x = 10 Therefore subtract 3x from both sides
2x = 10 Divide by 2 on both sides.
x = 5
We're not done yet, since we've found the x-value we have to solve for ∠GEC.
∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°
∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°
90° = 25° + x In this case, we're using "x" to solve for ∠FEG
90-25 = x We subtract 25 from both sides to get the variable by itself.
65° = x
∠FEG = 65° The Answer is B
Step-by-step explanation:
ILL GIVE U BRAINLYIST
Answer:
B rectangle
Step-by-step explanation:
Find ∠LMQ in the parallelogram LMNQ.
Answer:
29 degrees
Step-by-step explanation:
alternate interior angles are equal
The measure of angle LMQ in the parallelogram LMNQ is 29 degrees
From the diagram, we have the following parameters
Angle NLQ = 100 degreesAngle MQN = 29 degreesAlso, from the diagram, angles MQN and LMQ are alternate interior angles
This means that, both angles are congruent
So, we have:
[tex]\angle LMQ = \angle MQN[/tex]
This gives
[tex]\angle LMQ = 29^o[/tex]
Hence, the measure of angle LMQ in the parallelogram LMNQ is 29 degrees
Read more about parallelograms at:
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The weight of a bunch of graphs is estimated to be 3 lbs. The actual weight is 2.7 lbs. What is the percent error in the estimate? Enter your answer, rounded to the nearest tenth, in the box.
Answer:
11.1%
Step-by-step explanation:
(3 - 2.7)/2.7 = 11.1%
(measured - true) x 100 = percent error
true
PLEASEEEEEEEEEEEEEEEEEE HELP MEEEEE
Help me PLEASEE I NEED HELP ASAPP
Answer:
[tex]=144\pi cm^{2} =452.16cm^{2}[/tex]
Step-by-step explanation:
[tex]A=\pi r^{2} =\pi 12^{2} = 144\pi cm^{2}[/tex]
please help dont know how to solve
Answer:
35cm
98°
Step-by-step explanation:
4x+3=6x-13
4x+16=6x
16=2x
8= x
4x+3 = 8*4+3 = 35
9y+17=11y-1
9y+18=11y
18=2y
9=y
9y+17 = 9*9+17= 98°
1. The quadratic parent function f(x) = x2 was transformed to
create function g(x). Which of the following represents function
g(x)?
A. g(x) = -6f(x)
B g(x) = f(x - 6)
c. g(x) = f(x + 6)
D 0.9(x) = f(x) - 6
Answer:
C
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
The graph of g(x) is the graph of f(x) shifted 6 units left , then
g(x) = f(x + 6) → C