Answer:
5.....................
Two forces of 17.3 pounds and 42.5 pounds act on a body with an angle of 21.9 degrees between them. The force of 42.5 pounds acts on the body in the horizontal direction. Choose the correct approximation for the direction angle the resultant vector makes with the horizontal force.
a. 6.3
b. 21.9
c. 15.7
d. 10.9
The resultant vector makes a 6.3-degree angle with the horizontal force, the correct option is A.
What is the formula for determination of angle of the resultant vector ?The resultant angle between the vectors is given by
[tex]\rm \theta = tan^{-1} \dfrac{B sin\theta}{A +B cos\theta}[/tex]
The two forces have magnitude of 17.3 and 42.5 pounds.
The angle of the resultant vector is
[tex]\rm \rm \theta = tan^{-1} \dfrac{17.3\; sin\; 21.9}{42.5 +17.3 cos\;21.9}[/tex]
[tex]\rm \theta = tan^{-1}[/tex] (6.453/58.55)
[tex]\rm \theta[/tex] = 6.2886 degree = 6.3 degree.
Therefore, the resultant vector makes a 6.3-degree angle with the horizontal force.
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Answer:
6.3 on edge
Step-by-step explanation:
SOMEONE PLZ HELPPPPP!!!!!
Assuming we are dealing with parallel lines, then same side exterior angles are supplementary. This means they add to 180 degrees.
Answers: Choice B, Choice C
can you help me with this
Answer:
Baseball camp by $1.25
Step-by-step explanation:
75/4=18.75 100/5=20
20-18.75= 1.25
18.75 is a way better deal
What is 37% out of 87%?
a scale drawing of a rectangular room measures 3 1/2 inches by 11/2 inches the scale is 1/4 inches the scale 1/4 inch = 2 feet carpeting cost $10 per square foot how much will it cost to buy enough carpenter to cover the floor of this room
Answer:
$1540
Step-by-step explanation:
3/2 x 11/2 = 19 1/4
19 times 4 to find how many 1/4s fit in 19 = 76
Add 1/4 = 77
77 x 2 = 154 feet
154 x 10 = $1540
Answer:
1,120
Step-by-step explanation:
I don’t really know but it’s 1,120
does anyone know this. i will give brainliest
Answer:
yeah hold on a sec
Step-by-step explanation:
i got the one answer
4 x 10^9 = the first box
i tried my best but like why does math have to be so fawking difficult
What is (0.2 + -5) x (4.1) ?
Answer:
-19.68
Step-by-step explanation:
(0.2 + (-5) × (4.1)
-4.8 × (4.1)
-19.68
Answer:
-19.68
Step-by-step explanation:
(0.2 + (-5)) * (4.1)
(-4.8) * (4.1)
-19.68
When given the equation where you have to add a negative, it's similar to subtraction. Where the positive number will be subtracted from the negative number.
The local newspaper has letters to the editor from 50 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?
Answer: The newspaper has 2500 readers.
Step-by-step explanation:
Given: The local newspaper has letters to the editor from 50 people.
This is the 2% of all newspaper readers.
Let x be the number of all newspaper readers.
Then. 2% of x= 50
[tex]\Rightarrow\ 0.02x=50\ \ [\text{To remove }\% \text{we divide number by 100}]\\\\\Rightarrow\ x=\dfrac{50}{0.02}=\dfrac{5000}{2}=2500\\\\\Rightarrow x=2500[/tex]
Hence, the newspaper has 2500 readers.
What are the roots of the polynomial equation x3 - 10x=-3x² + 24? Use a graphing calculator and a system of equations
a. -24,-3,12
b. -12,3,24
c. -4,-2,3
d. -3,2,3
Answer: ITS C ( -4,-2,3)
Answer:
C
Step-by-step explanation:
Ed2021
You are checking in a customer’s bag for a flight out of the country. There is a 50-pound weight limit per bag. The customer’s bag weighs 47 pounds. The country the customer is flying to needs the weight of the bag in kilograms to determine compliance.
Answer:
21.3188kg or 21.3kg
Step-by-step explanation:
As one kilogram is equal to 2.20462 pounds we can calculate the weight in kilograms by taking 2.20462 / 47 and we get 21.3188kg
In △ABC, BM is a median, △BMC is equilateral and MC = 3cm. Through M is drawn line l∥AB that intersects CB at point N. Find:
- m∠ABC
- The distance from C to AB
- The distance from l to AB
Answer:
m∠ABC = 60°
The distance from C to AB = 3 cm
The distance from l to AB = 1.5 cm
Step-by-step explanation:
The median of ΔABC = BM
The length of MC = 3 cm
Type of triangle given as ΔBMC = Equilateral triangle
Line MN is parallel to AB and passes through M intersecting CB at N
Given that BM is a median, we have;
MC = AM = 3 cm
BM = MC = CB = 3 cm, from ΔBMC = Equilateral triangle
CN = NB by midpoint theorem
∴ CB = CN + NB = 2·CN = 3 cm
The distance from C to AB = CB = 3 cm
The distance from C to AB = 3 cm
CN = 3/2 = 1.5
CN = NB = 1.5
The distance from l to AB = CN = 1.5 cm
The distance from l to AB = 1.5 cm
m∠ABC = m∠BMC = m∠MBC = 60° Interior angles of an equilateral triangle.
m∠ABC = 60°
HELP PLEASE 12 POINTS
Answer:
Step-by-step explanation:
5^2=3^2+a^2
25=9+a^2
16=a^2
take the square root of both
4=a
BRAINLIEST!!! Correct and fastest answer!
Answer:
whats the question?????
Step-by-step explanation:
Over the past 10 years, the high school football team averaged 24.8 points per game with a standard deviation of 8.5. At the homecoming game, the team scored 52 points. Find and interpret the z-score.
Answer:
3.2 i think
Step-by-step explanation:
2x + 5 = 2x - 3 how many solutions ??
Answer:
-8
Step-by-step explanation:
Subtract 5 from both sides of the equation:
2+5=2−3
2+5−5=2−3−5
Simplify:
2=2−8
Subtract 2 from both sides of the equation:
2=2−8
2−2=2−8−2
Simplify:
0=−8
The solution to the algebraic expression has no solutions.
What is an algebraic expression?An algebraic expression comprises numbers, variables, and arithmetic operations with the aim of determining and finding a solution to the variables.
From the given expression, we have:
2x + 5 = 2x - 3
subtract 2x from both sides, we have:
2x -2x + 5 = 2x -2x - 3
5 = -3
Therefore, the solution algebraic equation has no solution since we don't have a variable to solve.
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write 76,000,000 using Scientific Notation
Answer:
7.6 times 10 to the 6th power
Step-by-step explanation:
7.6 for the first two digits and there are 6 zeros so to the 6th power. Hope this helped!
Step-by-step explanation:
7.6 x 10^7
10
10
5
-10
0
10
-10
0
10
10
1.5
10
10
-10
Answer:
???????................ .mm
Answer:
???????................ .mm
Step-by-step explanation:
I really need help with this geometry
Answer: -50
Step-by-step explanation:
It’s ángle GFN=4x+10,angle NFE= 14x+3,and angle GFE =157. Find ángel NFE. GFN = 4(-15)+ 10= -50 degrees.
Which pair of triangles can be proven congruent by SAS?
3/4 divided by what equals 12
Answer:
0.05357142
Step-by-step explanation:
!!20 POINTS!! BRAINLIEST TO CORRECT ANSWER!!
Select the correct answer.
Which ratio is equal to 27:81?
А.1:9
B.2:9
C.3:9
D. 3:27
E.9:12
Answer:
3:9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
27:81
= 27/81
=3/9
=3:9
it could be reduced to 1:3 but because the alternatives does not include, it 3: 9
please reward me by marking me as the brainliest.
help please please
If i just knew the answer i would tell you buti dont know sorrry
Answer:
1. A. 9
B. - 51
2. A. (-3,2)
B. (5,-2)
3. A. (11,-3) B. (11,1) C. They have the same x
Write an equation in slope-intercept form of the line that passes through (3,8) and (1,-2)
Step-by-step explanation:
let eqn be y = mx + b.
m = (-2 - 8)/(1 - 3) = 5
sub (3, 8):
8 = 5(3) + b
b = -7
therefore equation of the line is y = 5x - 7
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:y = 5x - 7
Step-by-step explanation: /
( use elimination) on 3x+5y=12 and x-3y=4
Answer:
x=4 y=0
Step-by-step explanation:
3x+5y=12
-(x-3y=4)
3x+5y=12
3(-x+3y=-4)
3x+5y=12
-3x+9y=-12
14y=0
y=0
Then, substitute the y into the equation to find x
x-3(0)=4
x=4
identify the TWO sets of ordered pairs that represent a function
A).(1,-1),(-2,-7),(0,1),(-1,-1)
B).(1,-3),(-2,-8),(0,-1),(1,-2)
C).(2,-3),(-3,6),(-2,-2),(2,3)
D).(-3,2),(1,6),(2,2),(1,3)
E).(-5,2),(2,6),(3,2),(4,-5)
Answer:
A and E
Step-by-step explanation:
(1, −1), (−2, −7), (0, 1), (−1, −1) and (−5, 2), (2, 6), (3, 2), (4, −5) are functions because each x value corresponds to exactly one y value. a function must have only one output value for each input value.
7. Estimote the following percentages of 60.
10% =
25% =
50% =
20% =
Answer:
10% of 60 = 6
25% of 60 = 15
50% of 60 = 30
20% of 60 = 12
Step-by-step explanation:
Answer:
10% = 6
25% = 15
50% = 30
20% = 12
Step-by-step explanation:
10 % just drop the 0 from 60. 1/10 of 60 is 6
25% is 1/4. Divide: 60/4 =15
50% is half. Divide 60/2 = 30
20% is 1/5 Divide 60/5 =12
Simplify (-56) ÷ 7.
A. 9
B. -9
C. 8
D. -8
A baker in 70 minutes iced 40 cupcakes and in 49 minutes he iced 28 cupcakes what is the constant of proportionality? express your awnser in decimal form.
Answer:
1 cupcake is made in 1.75 minutes.
1.75 minutes
Step-by-step explanation:
Divide 70 by 40 = 1.75.
49/28=1.75
The constant of proportionality of the given data is 0.57.
What is constant of proportionality?The constant of proportionality is the ratio of two proportional values at a constant value.
Now it is given that,
Time taken for icing 40 cupcakes = 70 minutes
∴ Icing of cupcakes in 1 minute = 40/70
= 0.57
Time taken for icing 28 cupcakes = 49 minutes
∴ Icing of cupcakes in 1 minute = 28/49
= 0.57
⇒ constant of proportionality = 0.57
Thus, the constant of proportionality of the given data is 0.57.
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HELP ASAP!!!! WILL GIVE BRAINLIEST! Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara writes an equation that represents the cost of each pair of knitting needles. If k represents the cost of each pair of knitting needles, which statements about verifying the value of k are true?
CHECK ALL THAT APPLY
A.) Tamara should substitute k = 30 into the equation 39 + 2 k = 69.
B.) After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is equal to the right side.
C.) Tamara should substitute k = 15 into the equation 39 + 2 k = 69.
D.) After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is not equal to the right side.
E.) To verify the solution to the equation, Tamara multiplies the solution by 2 and then adds it to 39. Then, she checks that it is equal to 69.
F.) To verify the solution to the equation, Tamara adds the solution to 2 and then adds it to 69. Then, she checks that it is equal to 39.
Answer:
2,3,5
Step-by-step explanation:
Answer:
B. C. E
Step-by-step explanation:
The length of a square is 6 2/3 inches. What is the Perimeter of the square?
Answer:
26 2/3 inches
Step-by-step explanation:
P=4s
P= 4 × 6 2/3
P= 26 2/3 inches
