The frictional force between the box and the surface is 100 newtons .
Since the body being dragged across the surface is not accelerating, the acceleration of the body is 0m/s².
From Newtons second law of motion, F = ma where;
F is the sum of the forces acting on the body
m is the mass of the body
a is the acceleration
If the box is dragged along a straight line by a force of 100 N, its moving force (Fm) is 100 N and the frictional force (Ff) will act opposite to this force.
Resultant force acting on the box along the horizontal will be Fm+(-Ff)
Therefore;
Fm+(-Ff) = ma
Fm-Ff = ma
Since a = 0m/s²
Fm-Ff = m(0)
Fm-Ff = 0
Fm = Ff
This shows that for a static body, the moving force acting on the body will be the same as the frictional force. Since Fm = 100 N
Frictional force (Ff) = 100 N
Therefore, the frictional force between the box and the surface is 100 N
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find the length of the missing side pls help
Answer:
the first triangle is 10
the second triangle is 8
Step-by-step explanation:
1. the formula for this is a²+b²=c²
c is the missing side
add in the numbers and you get 8²+6²=c²
8² is 64 and 6² is 36. 64+36 = 100
then find the square root of 100, which is 10
2. the formula for this is c²-b²=a²
17² - 15² = a²
289-225 = 64
the square root of 64 is 8
Find a linear equation of the line with a slope 3 passing through the point
(-9,7).
The volume of the sphere is about (blank) ft.
Answer:
[tex]14.13[/tex]
Step-by-step explanation:
V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]
Answer:
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
Step-by-step explanation:
we are given the redious of a sphere
we want to figure out the volume
remember that,
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]
since we are given the redious we can substitute
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]
as the approximate value of π is given
substitute:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]
we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction
so
simplify square:
[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]
reduce fraction:
[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]
[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]
simplify multiplication:
[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]
since we cubed the redious and the redious is in feet, we of course use cubic feet
[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]
Please please help I beg you
Answer:
Step-by-step explanation:
On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?
Answer:
Number of cm= 40 cm
Step-by-step explanation:
Giving the following information:
3 cm equals 45 kilometers
1 cm= 45 /3 = 15km
We need to determine how many centimeters represents 600 km. We will use the following formula:
Number of cm= total km / km per one cm
Number of cm= 600 / 15
Number of cm= 40 cm
During seventh grade Athletics 34 of the 87 girls are in off season lifting weights what are the what percentage of the girls are not lifting weights?
Answer: 61% or exactly 60.9%
Step-by-step explanation:
if 34 are lifting weights then 53 (87-34) are not lifting weights and the percentage of 53/87 is 61%
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Answer:
The value of x is 4, and the measure of the four angles are 100°, 80°, 100°, 80°.
Step-by-step explanation:
There is a rule that states the following: when two lines intersect, the verticle/opposite angles formed will have the same degree measure. Using this rule, we can infer that [tex]30x-20=10x+60[/tex]. To solve for x, isolate the variable all on one side of the equation. [tex]30x-10x = 60 + 20[/tex] ⇒ [tex]20x = 80[/tex] ⇒ [tex]x=4[/tex]. Since we now know the value of x, you can use that to figure out a pair of verticle angles, apply the value of x to any equation and you'll get that two of the four angles are all 100°. Since the rotation of a full circle is 360°, you can get that the sum of the remaining two angles is 360° - 100° * 2 = 360° - 200° = 160°. Because we know the remaining pair of verticle angles are equal, we can get that each of the remaining angles is equal to [tex]\frac{160}{2}[/tex] or 80°, so the measure of all four angles are 100°, 80°, 100°, 80°.
The Brown family has many pairs of athletic shoes. They counted p pairs all together. They decided to give away 6 pairs, because they had outgrown them. After giving 6 pairs away, the Brown family still has 11 pairs of athletic shoes remaining.
Write an equation to describe this situation.
How many pairs of shoes did the Brown family start with?
Answer: The brown family started out with 17 pairs of shoes. (11 + 6)
p - 6 = 11 (I would say this is the equation)
Step-by-step explanation:
You can solve the equation by adding +6 on both sides of the equal sign, giving you at the end p = 17
Answer: They started out with 17 and the equation was p - 6 = 11
Step-by-step explanation:
robert wants to buy a hat that is 25% off. if the original price is $35 and 6% sames tax, how much does he pay
The number 345,672 rounded to the nearest ten thousand is
Answer:
350,000
Hope this helps !!!
Solve for m
please help
Answer:
∠ ADE = 59°
Step-by-step explanation:
The angles in a rectangle are right angles, then
∠ ABC = 90° , that is
4x + 15 + 13x + 7 = 90
17x + 22 = 90 ( subtract 22 from both sides )
17x = 68 ( divide both sides by 17 )
x = 4
Then
∠ CBE = 13x + 7 = 13(4) + 7 = 52 +7 = 59°
Since the sides in a rectangle are parallel then
∠ ADE = ∠ CBE ( alternate angles )
∠ ADE = 59°
A recipe for bread uses 2 cups of liquid and 6 cups of flour for 3 loaves of bread. How many cups of flour are needed for 10 loaves?
Answer:
20
Step-by-step explanation:
3.33*6= 19.98
(4 to the power of 2 )2
What is the slope of the line passing through points (2, 1) and (5, 7)?
Answer:
(3, 6)
Step-by-step explanation:
(x1, y1) and (x2, y2)
x2 - x1, y2 - y1
(x*, x*)
(2, 1) and (5, 7)
5 - 2, 7 - 1
(3, 6)
PLEASE HELP FAST 15 POINTS ANDWER IF YOU ONLY KNOW!
Answer:
i can see the question in ascending order
Please help me with this homework
I'll give brainlyest help
Answer:
5 meters
Step-by-step explanation:
40/8=5
Answer:
area of rectangle =length ×width
40m² = 8m × width
40m²/8m = width
5m = width.
find the inequality represented by the graph
Answer:
y>=-2x-5 is the answer. Just to be sure, check the points of the equation with an ordered pair shaded that should reveal if this answer is valid.
Step-by-step explanation:
In a bag of counters, there are 3 times as many red counters as
blue.
There are twice as many blue counters as yellow counters.
What is the ratio of red : blue : yellow?
Answer:
The ratio is 6:2:1.
Step-by-step explanation:
Let's denote:
Blue counter b
Red counter r
Yellow counter y.
There is given
r=3b (three times more red as blue) [1]
and
b=2y (twice more blue as yellow.) [2]
Now, replacing [2] to [1] gives
3*2y=r
6y=r.
Hence, the ratio is 6:2:1, because r=6y and b=2y.
I need help Barbara measured a restaurant and made a scale drawing. In real life, a table in the restaurant is 6 feet long. It is 2 inches long in the drawing. What scale did Barbara use for the drawing?
Answer:
1 inch = 3 feet
Step-by-step explanation:
if 6 feet is real, and 2 feet is on the drawing, then you would convert it to 1 inch = 3 feet
What is 3x3x3x3x3x3x3x33x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x33x3x33x3x3x3x3x3x3x3x3x33x3x3x3333333x333x3x3x3x3x3x3x3x3
Answer:
calculadora es muy bonita hoy
Step-by-step explanation:
Answer:
440000079
Step-by-step explanation:
how do you simplify 4√6 times 5√2
Answer:
Your answer is 40√3.
Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
30 points
Answer:
hope this helps .keep on learning
!DUE TODAY, PLEASE HELP!
The surface area S of a cube is equal to the sum of the areas of the 6 square faces that form the cube. We want to paint the cube and need to know how many square units of paint to purchase. If each face has side length s, the the formula s=6s^2 can be used to find the surface area of the cube. The length of a side is indicated in the cube below (s=x-5). The surface area of the cube is 1944 units^2.
What is the value of x? SHOW and EXPLAIN each step you used to solve.
Answer:
x = 23
Step-by-step explanation:
surface area of a cube = 6s²
Side length, s = x - 5
Surface area of the cube = 1944 units²
What is the value of x?
surface area of a cube = 6s²
1944 = 6(x - 5)²
1944/6 = (x - 5)²
324 = (x - 5)²
324 = x² - 10x + 25
x² - 10x + 25 - 324 = 0
x² - 10x - 299 = 0
Solve quadratic equation using factorization
(x + 13) (x - 23) = 0
x + 13 = 0 or x - 23 = 0
x = -13 or x = 23
The side length can not be negative
Therefore, x = 23
Read the sentence.
The Great Barrier Reef attracts thousands of visitors.
Select the sentence that is expanded with a prepositional phrase.
Afterall, the Great Barrier Reef attracts thousands of visitors.
As many people know, the Great Barrier Reef attracts thousands of visitors.
During Australia's summer, the Great Barrier Reef attracts thousands of visitors.
For one main reason, the Great Barrier Reef attracts thousands of visitors
Answer:
The last one
Step-by-step explanation:
For is a prepostion. One way to identify prepostions is to use the squirriel trick. Think of a word and then use this sentence starter. The squirrel is ___ the tree. In this case, for fits with it. Another prepostion is in or of. I hope this helps.
Answer:
the answer is D
Step-by-step explanation:
For one main reason, the great Barrier reef attracts thousands of visitors
help me please i would be sooo thankful!
Answer:
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!!
Answer:
down below
Step-by-step explanation:
Since GA is the median of triangle GHI, IA and AH are equal sides. So, AH = 12.7 and IH = 12.7+12.7 = 25.4
How do you write in slope intercept with only the rate of change and one point. Like rate of change is -5 and the point is (3,0)
Answer:
A linear equation in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, we know that the rate of change (the slope) is -5
Then we just replace a by -5
y = -5*x + b
Now we also know that this line passes through a point, and the point is (3, 0)
This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.
Replacing these values in our equation we get:
0 = -5*3 + b
0 = -15 + b
15 = b
Now we know the value of b, so we can replace it in the line equation to get:
y = -5*a + 15
Which is the complete equation of the line.
Please help!!!!!! Will mark brainliest!
Answer:
k
Step-by-step explanation:
someone help this is due soon!!
Answer:
m∠E = 113
Step-by-step explanation:
Given that ΔDEF ≅ ΔPQR
We know that the following angles are congruent
∠D ≅ ∠P
∠E ≅ ∠Q
∠F ≅ ∠R
Now how do we know how these angles are congruent?
Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent
Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.
So we are also given that
∠R = 13 and ∠D = 54
and we need to find ∠E
Remember like stated previously ∠R ≅ ∠F so ∠F = 13°
Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)
Using the triangle angle rule (the angles in a triangle add up to equal 180)
so ∠E = 180 - ∠D - ∠F
now we plug in the given information
∠E = 180 - 54 - 13
180 - 54 = 126
126 - 13 = 113
so ∠E = 113