Answer:
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Step-by-step explanation:
The Moon exerts its force of gravity; since it's smaller and lighter than Earth, we would discover we weigh around a sixth of our weight on Earth if we could weigh ourselves on it. One could ask why the Moon doesn't fall on Earth as an apple from the tree.
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
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.
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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:
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:
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
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
There are 12 cats and 11 dogs at the shelter. What is the ratio of cats to all animals?
The selling price is $750. The rate of the sales tax is 5%. How much is the sales tax?
Answer:
37.5
Step-by-step explanation:
Selling price= 750
Sales tax= 5%
5/100 because we are looking for 5% ot of 100%
750*0.05
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
-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
PLEASE HELP NOW WILL GIVE CROWN!!!
Answer:
ADD MORE POINTS FOR THIS WHOLE SHEET YA NO FOU. ADD MORE POINTS THE WE CAN TALK!
Step-by-step explanation:
Using the GCF, what is the factored form of 24v – 84?
3(8v – 28)
6(4v – 14)
12(2v – 7)
24(v – 60)
Answer: 2(3+x)(5-x)
Step-by-step explanation:
Answer:
2(3+x)(5-x)
Step-by-step explanation:
solve. 3x+4y=36y=-1/2x+8
Answer:
7.5
Step-by-step explanation:
3x+4y=36y=-1/2+8=
(X) 10.9.PS-7
Find the volume of the
triangular prism.
3.6 cm
9 cm
5.4 cm
The volume of the triangular prism is
3
cm
Answer:
9 cm because 69
Step-by-step explanation:
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
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]
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.
I need help I need help on this question
Answer: Option B
Step-by-step explanation:
oque apresenta caracteristicas cultural
Answer:
iniciações, tradições, história, valores e princípios, propósito, símbolos e limites.
Step-by-step explanation:
Brainliest PLSSS
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
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.
2. What is an
example of TIME?
high and low
slow and fast
sharp and fluid
(Dance class)
Answer:
the awnser should be. slow and fast
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:
A train travels 5,812 miles each month for 24 months. How many miles did the train travel in total?
139,488 miles
139,588 miles
139,688 miles
139,788 miles
5. What is the value of x to the nearest tenth? The figure is not drawn to scale.
Answer:
5.46
Step-by-step explanation:
Using pythagoras theorem;
AD^2 = 5.3^2 - 4.1^2
AD^2 = 28.09-16.81
AD^2 = 11.28
AD = √11.28
AD = 3.36
x^2 = 3.36^2+4.3^2
x^2 = 11.28 + 18.49
x^2 = 29.77
x = 5.46
Hence the value of x is 5.46
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
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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:
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
Dale finished his English assignment in 1/3 hours . Then he completed his chemistry assignment in 1/2 hours . How much more time did dale spend on his chemistry assignment?
write your answer as a fraction in simplest form .
Answer:
1/6 hours
Step-by-step explanation:
Since it wants a fraction form all you have to do is subract 1/3 from 1/2
1/2 - 1/3
cross multiply:
3/2-2/3
subtract the numerator but multiply the denominator and simplify if you have to:
1/6
Evaluate the expression for the given value of x.
5x + 6 for x = 4