Step-by-step explanation:
[tex](2y - 3) = 45 \\ 2y = 48 \\ y = 24[/tex]
Alice is using a rope to pull a wagon. He exerts a force of 2 newtons at an angle of 48° from the floor.
Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.
Part B: What implications does this have for pulling the wagon? Explain.
Answer:
Part A - i. 0.68 N ii. 1.88 N
Part B - The wagon will move slowly while being raised up off the ground.
Step-by-step explanation:
Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.
Since the force of 2 N is exerted at this new angle of 70°,
i. the horizontal component u = 2cos70° = 0.684 N ≅ 0.68 N and its
ii. vertical component, v = 2sin70° = 1.879 N ≅ 1.88 N
Part B: What implications does this have for pulling the wagon? Explain.
Since we have a horizontal component of 0.68 N and a vertical component of 1.88 N, most of the force is used in raising the wagon off of the ground with less of it moving it forward. So, the wagon will move slowly while being raised up off the ground.
Please help!
Goes through the points (1, 11) and (1, -2)
Use the slope formula
Y2 - Y1
m=————-
X2 - X1
Sue is 15 years older than Mike. in 5 years mikes’s age will be ½ sue’s age. What is the present age of each?
Show work!!!!
Answer:
5
Step-by-step explanation:
Sue in 5 years would 20, meaning Mike would be 10. Subtract 5 from Mike to get their current age.
Answer:
Mike= 10 years old
Sue= 25 years old
Step-by-step explanation:
Let the present age of Sue be s years old, while that of Mike be m years old.
Present
s= m +15 -----(1)
In 5 years
Sue's age= s +5
Mike's age= m +5
Given that Mike would be ½ of Sue's age in 5 years,
m +5= ½(s +5)
Multiply both sides by 2:
2(m +5)= s +5
Expand:
2m +10= s +5
2m +10 -5= s
s= 2m +5 -----(2)
Substitute (1) into (2):
m +15= 2m +5
2m -m= 15 -5
m= 10
Substitute m= 10 into (1):
s= 10 +15
s= 25
Thus, the present age of Mike is 10 years old and the present age of Sue is 25 years old.
Using π = 3.14, what is the circumference of a circle with a diameter of 28 units?
Round your answer to the nearest hundredth.
What is the scale factor from the original triangle to its copy as a percent?
The picture is down below.
Answer:
scale factor = 20%
Step-by-step explanation:
A scale factor is a multiplier which can be used to determine the rate between two or more dimensions.
In the given figure, the sides of the original triangle is 5 times greater than that of the copy. Thus,
the scale factor = [tex]\frac{copy length}{original length}[/tex] x 100%
= [tex]\frac{1}{5}[/tex] x 100%
= 20%
The scale factor of the original triangle to its copy is 20%. This implies that the dimensions of the original triangle are multiplied by 20% to determine that of the corresponding copy triangle. Thus, we scale down the dimensions of the original triangle by 20%.
I need this answer I’ll give brainliest
In a certain chemical, the ratio of zinc to copper is 3 to 14. Ajar of the chemical contains
546 grams of copper. How many grams of zinc does it contain?
It contains grams of zinc
Answer:
Given -
In a certain chemical, the ratio of zinc to copper is 4 to 13.
The chemical contains 546 grams of copper.
Prove -
How many grams of zinc does it chemical contain.
Answer
suppose that scalar multiple of the zinc and copper be y .
As given
In a certain chemical, the ratio of zinc to copper is 4 to 13.
The chemical contains 546 grams of copper.
Than equation is
13y = 546
13y = 546
y = 42
Zinc contain in the certain chemical = 4y
= 4 42
= 168 grams
Therefore 168 grams of zinc contain in a certain chemical .Step-by-step explanation:
Each side of a square is increased 3 inches. When this happens, the area is multiplied by 25. How many inches in the side of the original square?
Answer:
s = 0.75 inches
Step-by-step explanation:
Let s = side length of the original square
s + 3 = side length of the new square
Area of a square = s²
A = s²
A = (s+3)²
A = s² + 6s + 9
Area multiplied by 25 = 25 * s²
So,
s² + 6s + 9 = 25s²
25s² - s² - 6s - 9 = 0
24s² - 6s - 9 = 0
8s² - 2s - 3 = 0
a = 8
b = -2
c = -3
s = -b ± √b² - 4ac / 2a
= -(-2) ± √(-2)² - 4(8)(-3) / 2(8)
= 2 ± √4 - (-96) / 16
= 2 ± √100 / 16
= 2 ± 10/16
s = 2 + 10/16 or 2-10/16
= 12/16 or -8/16
= 0.75 or -0.5
side length can not be negative
Therefore, s = 0.75
A = s²
A = (0.75)²
= 0.5625
A = (s+3)²
= (0.75+3)²
= 3.75²
= 13.95
An amusement park thrill ride swings its riders back and forth on a pendulum that spins. Suppose the swing arm of the ride is 62 feet in length, and the axis from which the arm swings is about 64 feet above the ground. What is the height of the riders above the ground at the peak of the arc? Round to the nearest foot if necessar
PLEASE HELP
Answer:
118ft
Step-by-step explanation:
dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome
i need help the test is time and i have 5 min left can y'all pls help pls
Answer:
divide the figure into two parts.
area of square = side²
area of square =12²
area of square =144
area pf trapezium =1/2×(a+b)×h
area of trapezium =1/2×(12+6)×12
area of trapezium =108
area of polygon=144+108=252 unit²
Two counters are selected at random from a bag containing 5 red counters and 3 blue counters.
Find the expected number of red counters selected.
Answer:
1.4
Step-by-step explanation:
Probability of selecting a red counter :
Number of red counter / total number of counters
5 / (5 + 3) = 5 /8 = 0.625
Probability of selecting a blue counter = 0.375
Let number of red counters :
0, 1 or 2
0 red counters :
Expected value = x * p(x)
0 + (0.625*1) + (0.390625 * 2)
0 + 0.625 + 0.78125 = 1.40625
Expected number of red counters = 1.4
Poosjsjdiwjqjsnsjjdd
Answer:
poosjsjdwjqisnsjjdd
Step-by-step explanation:
Answer:
what's the question?
Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while
Jack can write it in 16 hours. How long will it take them to write the program together?
Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while
Jack can write it in 16 hours. How long will it take them to write the program together?
Answer: 9.6 hours
Together donkey and Shrek can make 7 cupcakes in 12 mins. Shrek can make 2 cupcakes in 8 mins. How long will it take Donkey to make 3 cupcakes
Can y’all help me?
The teacher wants me to do work but ion understand this bc Ian done school for 3 months so I’m a bit behind...
Answer:
402.1 in^2
Step-by-step explanation:
Find the area of the circle with the 18 in. radius first.
Formula for a circle is πr^2
So the area of the circle with the 8 in. radius is 1017.9 in^2
Now do the same for the 14 in. radius circle.
The area for the 14 in. radius circle is 615.8
Now subtract:
1017.9 - 615.8 =
402.1 in^2
hope this helped!
A 12ft basketball hoop casts an 8 ft shadow. Find the length of the shadow of a 4 ft tall fence.
Set up a ratio of height over shadow for each :
12/8 = 4/x
Cross multiply:
12x = 32
Divide both sides by 12:
X = 2 2/3 feet
The shadow is 2 2/3 feet.
I need help with this question can you guys help me
Answer:
$18.5
Step-by-step explanation:
You just add up all the costs and divide them by two and then you would get your answer
half of 1/2 cake = _____ cake.
Answer:
well
Step-by-step explanation:
please add the image
Applying the knowledge of fractions, half of 1/2 cake = 1/4 cake.
Multiplying FractionsWe are asked to find how many parts of are there in half of one-half of a cake.
Thus:
half = 1/2
1/2 of 1/2 cake = 1/2 × 1/2 (of = multiplication)
= (1 × 1)/(2 × 2)
= 1/4
Therefore, applying the knowledge of fractions, half of 1/2 cake = 1/4 cake.
Learn more about fractions on:
https://brainly.com/question/78672
Which statement is true? pls help :)
Answer:
The First Choice
Step-by-step explanation:
1/4 is equal to .25
.25 x 4= 1.00
25 x 4= 100
Identify the coefficient in the following expression 6a +7
Answer:
The coefficient is 6
Step-by-step explanation:
Tamara can mow an acre in one hour. If her yard is 2 acres, how many hours will it take her to mow the entire yard? Write an equation to model and solve the problem. Explain the answer in terms of the problem. Show all work.
Answer:
2 hours
Step-by-step explanation:
4x - 2y can be simplified as ____________
Answer:
4x - 2y can be simplified as 2(2x - y)
What is the measure of angle x?
Answer:
47 degrees
Step-by-step explanation:
A triangle’s degrees add up to 180, so we can use that theorem
102 + 31 + x = 180
133 + x = 180
x = 47 degrees
In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer
than Noah, and Noah scores three times as many points as Mai. If Mai
scores 5 points, how many
points did Elena score? Explain your reasoning.
Answer:
22
Step-by-step explanation:
if mai scores 5 points and noah scores 3 times that then noah scored 15 points, and if tyler scores four less than noah than he scored 11 points, which you multiply by 2 to get elena's score which is 22
SOMEONE PLEASE HELP I'VE BEEN ASKING FOR DAYS NOW WITH SCALE FACTOR!!!!! I will give brainliest if right!!!!!!
Answer:
It has been answered for you
See this:
https://brainly.com/question/23012157
HELPPPPPPPPPPPPPppppppppp number 4
Answer:
3 dots
Step-by-step explanation:
This should be correct due to there only being 3 100% on the table
Joey made strawberry jam and raspberry jam. He made enough strawberry jam to fill 1/2 of a jar. If he made 2/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
Answer: 1/5 of a jar
Step-by-step explanation:
1/2 times 2/5= .2 = 1/5.
Answer:
1/5 of a jar
Step-by-step explanation:
PLEASE HELP QUESTION IN PHOTO WILL GIVE BRAINLIST!
Answer:
13x degrees
Step-by-step explanation:
brainliest????!!!
You place two wooden support beams under a shelf, as shown. Find the value of x
Answer:
17x
Step-by-step explanation:
so first 2x is 2 x x = 2x
then +10 =12x then 5 + x = 5x so 5x + 12x = 17x
Plz help!!!! Geometry
The little lines inside the two angles mean they are the same.
The 3 inside angles of a triangle equal 180 degrees.
One angle is 146 , so the other two need to equal 180-146 = 34 total.
34/ 2 = 17
Both angle 1 and angle 2 are 17 degrees each.
17, 17
Step-by-step explanation:
assuming both 1 and 2 are congruent and the total amount of angles should add up to 180* we can subtract 180(total) - 146(given) to get 34(angle 1+2) and and divide by 2 since both 1 and 2 are congruent they are the exact same angle