Answer:
R=10,244 Lb
Step-by-step explanation:
In order to solve this problem, we can start by drawing the situation. (See attached picture).
We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°
In this case we can find the resultant force by using the law of cosines:
[tex]A^{2}=B^{2}+C^{2}-2AB cos \alpha[/tex]
so we can use the data given by the problem:
[tex]R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha[/tex]
so we can solve this for R, so we get:
[tex]R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}[/tex]
now we can substitute:
[tex]R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}[/tex]
which yields:
R=10,244Lb
Answer:b
Step-by-step explanation:
Took the test
0.002 inches
0.202 inches
0.022 inches
0.02 inches
Which of the following shows these amounts in order from LEAST to GREATEST?
Answer:
0.0202
0.022
0.02
0.002
Step-by-step explanation: I am 5 million iq brainlist pls
What does "solution" mean?
What does it mean for a point to be a solution to a linear
equation?
For example, if I say, " (2,5) is a solution to the
equation y = 2x + 3," how could you check my claim?
Answer:
A solution to a linear equation means that the ordered pair is a point that lies on that line.
If someone were to say (2,5) is a solution to the equation y= 2x+3, you could check them by plugging in 2 where the variable "x" and seeing if y =5.
In this case,
y= 2(2)+3
y=7
(2,5) is not a solution.
y = (x - 2)2 + 3
Identify the vertex of the parabola
9514 1404 393
Answer:
(2, 3)
Step-by-step explanation:
Compare the given equation ...
y = (x -2)^2 +3
to the vertex form ...
y = (x -h)^2 +k
You can see that h=2 and k=3.
The vertex of the parabola is (h, k) = (2, 3).
this due tomorrow please help!!!!
A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest
Answer:
Step-by-step explanation:
Speed=Distance/Time
1.5/78=0.01923076923
Answer rounded=0.02/0.019
3,500 divided by what =70
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
3500 ÷ 70 = 50
3500 ÷ 50 = 70
if Leah makes $9.50 per hour and she works 36 hours this week, how much will her paycheck be before taxes?
Answer:
Leah makes $342 before tax.
Step-by-step explanation:
9.50 x 36 = 342
Leah makes $342 before tax.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
Leah makes $342 before tax.
Step-by-step explanation:
9.50 x 36 = 342
Leah makes $342 before tax.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Step-by-step explanation:
Factor the polynomial:
462 + 15b - 4
Answer:
15([tex]\frac{458}{15}[/tex]+b) or
15(b+[tex]\frac{458}{15}[/tex])
Step-by-step explanation:
First we can subtract the 4.
458 + 15b
Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.
15([tex]\frac{458}{15}[/tex]+b) or
15(b+[tex]\frac{458}{15}[/tex])
Solve x and y 3x-4y=18,9x-2y=12
Answer:
3x-4y=18
1xy=18
xy=18 ans
Answer:
X=2/5
Y=-21/5
Step-by-step explanation:
solve your system by substitution.
3x−4y=18;9x−2y=12
Step: Solve3x−4y=18for x:
3x−4y=18
3x−4y+4y=18+4y(Add 4y to both sides)
3x=4y+18
3x/3=4y+18/3
(Divide both sides by 3)
x=4/3y+6
Step: Substitute 4/3y+6 for x in 9x −2y=12:
9(4/3y+6)−2y=12
10y+54=12(Simplify both sides of the equation)
10y+54+−54=12+−54(Add -54 to both sides)
10y=−42
10y/10=-42/10 . (Divide both sides by 10)
y=-21/5
Step: Substitute
21/5 fory in x= 4/3y+6
x= 4/3y (-21/5) +6
X=2/5 (Simplify both sides of the equation)
Answer:
X=2/5
Y=-21/5
HAVE A NICE DAY!!!!!
(GIVING BRAINLIEST!!)
Choose the equation that represents the fraction one eighth
A) 7 ÷ 8 = ________
B) 1 ÷ 8 = ________
C) 8 ÷ 7 = ________
D) 8 ÷ 1 = ________
Answer:
Step-by-step explanation:
The answer is d
Answer:
B.
Step-by-step explanation:
I did the test and got it right.
i realy need help with this: 2 2/3 divided by 9
Answer:
8/27
Step-by-step explanation:
2 2/3 = 8/3
8/3 divided by 9 =
8/3 x 1/9 =
8/27
Solve for x.
−3x + 2b > 8
Answer:
x<2/3b+-8/3
Step-by-step explanation:
Let's solve for x.
−3x+2b>8
Step 1: Add -2b to both sides.
2b−3x+−2b>8+−2b
−3x>−2b+8
Step 2: Divide both sides by -3.
-3x/-3>-2b+8/-3
x<2/3b+-8/3
Answer is : x<2/3b+-8/3
Ben wants to buy a baseball cap that cost $24.50. The state sales tax is 8%, or 0.08. How much will he pay in sales tax
Answer:
the answer shouuld be $1.96
Step-by-step explanation:
24.50x.08= 1.96
Answer:
1.96 in sales tax
Step-by-step explanation:
to get percent of a number just multiply the percent in decimal form by the number for example 8% --> .08
solve for sin3theta
Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
Step(i):-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
sin ( A + B) = sin A cos B + cos A sin B
sin 2 A = 2 sin A cos B
Cos 2 A = 1 - 2 sin² A
cos ² A - sin ² A = 1
Step(ii):-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
Final answer :-
sin 3 θ = 3 sin θ - 4 sin³θ
Angle Relationships
Answer:
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles.
Supplementary Angles.
Adjacent Angles.
Linear Pair.
Vertical Angles.
The measure of the angle u and angle t will be 29 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angle u is congruent to angle t.
From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,
∠t + ∠u + 122° = 180°
∠t + ∠t = 58°
2∠t = 58°
∠t = 29°
The measure of the angle u and angle t will be 29 degrees.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ5
A herd of buffalo began with a population of 100,000. The average birth rate has been 25% per year, but the death rate has been 48% per year. What is the difference between the birth rate and death rate?
Answer:
23
Step-by-step explanation:
cuz i know stuff (its simple subtraction)
PLEASE SOMEONE HELP ME WITH MY HOMEWORK ILL GIVE BRAINLIST TO WHOEVER GETS THIS RIGHT
Answer:
First one is sin 27 and cos 63
second one is sin 60
Step-by-step explanation:
4x50=??? use a calculator only if you need to!
Answer:
so if you know what
4 x 5 is you can just add a 0 to the end
so 4 x 5 = 20
o now add a 0
the awnser is 200!!
Step-by-step explanation:
How do I do this please hurry!!!!!!
Answer:
put a closed dot on -10. then draw a right arrow from -10 to 11
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Whenever the sign is greater than, the line needs to go to the right. Moreover, when it also is equal to, the dot must be shaded. The dot also needs to be on -10 in this instance.
In short, shaded dot on -10 going to the right.
Last year a pet groomer trim the nails of 865 cat and 1189 dogs if she charged $9 for pet how much money did she earn
Answer:
18486$
Step-by-step explanation:
5x -3x + 19 = 2x - 10
Answer: x = 7.25
Explanation:
Brian goes to school 6 hours per day, works 4 hours per day , and sleeps for 9 hours per day. What is the ratios of hours brain sleeps
Answer:
6:4:9
Step-by-step explanation:
Answer:
6:4:9 Yw
Step-by-step explanation:
What three pairs of numbers have 5 as there greatest common factor?
Answer:
10 and 15, 20 and 25, and 35 and 45.
Step-by-step explanation:
please help me i really need help please help me please
Answer:
pluto
Step-by-step explanation:
Corresponding angles are
A. Complementary
B.Equal
C. Supplementary
Answer:
equal
Step-by-step explanation:
When the two lines are parallel Corresponding Angles are equal
Suppose that the functions r and s are defined for all real numbers x as follows.
Answer:
a) ( r+ s) (x) = 3 x + 9
b) ( r . s ) (x) = 2 x² + 13 x +20
c) ( r- s) (x) = -1 -x
Step-by-step explanation:
Step(i):-
Given that r(x) = x +4 and s(x) = 2x + 5
a) ( r+ s) (x) = r(x) + s(x)
= x +4 + 2x +5
= 3 x + 9
( r+ s) (x) = 3 x + 9
b)
( r . s ) (x) = r(x) . s(x)
= (x+4) . ( 2x +5)
= x ( 2x +5) + 4( 2x +5)
= 2 x² + 5 x + 8 x +20
= 2 x² + 13 x +20
( r . s ) (x) = 2 x² + 13 x +20
c)
( r- s) (x) = r(x) - s(x)
= (x+4 - ( 2x +5)
= x +4 - 2x -5
= -x -1
( r- s) (x) = -1 -x
Two more than 5 times a number,n, is greater than 3.
Answer:
5n + 2 > 3 (If you're writing the equation)
n > 1/5 (If you're solving for n.
Step-by-step explanation:
Answer: n > 1/5
Step-by-step explanation:
2 + 5n > 3
5n > 1
n > 1/5
A scale model of an object is 6 inches tall. The actual object is 324 feet tall. What is the scale factor of the model
Answer: try downloading an app for math
Step-by-step explanation:
It helps me
4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How
much is his classmate's daily allowance?
5. Carla, a grade six pupil
, has 24 sheets of art paper for his project in Math. If 6
sheets of art paper were used by Carla, what percent of the sheets of art paper
did she use?
Answer:
4. His classmate's daily allowance is of P100.
5. She used 25% of the sheets of art paper.
Step-by-step explanation:
4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How much is his classmate's daily allowance?
An allowance of P10 a day is 20% of his classmate's allowance, that is, 20% of x. So
[tex]0.2x = 20[/tex]
[tex]x = \frac{20}{0.2}[/tex]
[tex]x = 100[/tex]
His classmate's daily allowance is of P100.
5. Carla, a grade six pupil , has 24 sheets of art paper for his project in Math. If 6 sheets of art paper were used by Carla, what percent of the sheets of art paper did she use?
She used 6 sheets, of the 24. So
[tex]P = \frac{6*100}{24} = \frac{100}{4} = 25[/tex]
She used 25% of the sheets of art paper.
I rlly need this now, show work pls :((
Answer:
1. y=-x-3 2.y=1/3x-4
Step-by-step explanation:
1. 3x+3y=-9
3y=-3x-9
y=-x-3
2. x-3y=12
-3y=-x+12
y=1/3x-4