Answer:
This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.
Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.
The magnitude of the resultant force can be found by applying the law of cosines:
c2 = a2 + b2 - 2abcos140°
where a = 80, b = 70 and c is the resultant force vector you are asked to find
Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:
sinα/a = sin140°/c
where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs
Step-by-step explanation
What dose f(-2)=3 mean?
function!
Step-by-step explanation:
this was a function that the answer (y) is equal to 3
and the X is equal to (-2)
Answer:
This is about a function evaluated at a particular point. You don't get a formula for the function, but there is enough information to say that the ordered pair (-2, 3) is part of the function.
The function's name is f.
The -2 in parentheses is a value for the independent variable ("input"), often designated by the variable x.
The 3 is the corresponding value of the dependent variable ("output"), often designated by the variable y.
The expression can be read as:
"f of negative two is equal to 3"
"the value of f at -2 is 3"
PLS HELP ME
what is mZA?
Answer:
35+43 = 78 so then E is 78 for both sides. then do 78+18 which is 96. so A is 96. I think
Help help math math
Answer:
1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( -15 - -14) / ( -11 - (-10))
= (-15+14) /(-11 + 10)
= -1 / -1
= 1
Answer:
The answer is 1
Step-by-step explanation:
Everything in the store was at 30% discount . A dress was originally for 65$ . What was the discount price ?
Answer: $45.50
Step-by-step explanation:
30% discount means 30% off the original price
1. find 30% of 65$
=.3*65
=19.5
2. subtract that from 65$
=65-19.5
=45.5
the discount price was $45.50
Define the following sequence recursively:
4, 15, 26, 37, ...
Answer:
a) f(n) = 11 + f(n - 1)
Step-by-step explanation:
f(2) = 11 + 4 = 15
f(3) = 11 + 15 = 26
f(4) = 11 + 26 = 37
f(5) = 11 + 37 = 48
Find the value for x.
Answer:
4x + 22
Step-by-step explanation:
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A (2,2) B (4, -2) C (-4,0)
Step-by-step explanation:
K = 2
K is the scale factor so the y and x distance between the points will double
just take to coordinates and multiply them by 2
A 1,1 new 2,2
B 2, -1 new 4,-2
C -2,0 new -4,0
find the value of the variable in the isosceles triangle. show your work plz
Step-by-step explanation:
3x-3 = x+5 add 3 on both sides
3x = x+8 subtract x in both sides
2x = 8 divide both sides by 2
x = 4
You bought a magazine for $2 and some erasers for $5 each. You spent a total of $12. How many erasers did you buy?.
Answer:
2
Step-by-step explanation:
I got it right bro man my guy I got you
HELP QUICK!
Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.
f relates each student in South High School to their grade point average (GPA) and number of credits earned.
Using the function concept, it is found that f is a function, as each student is related to only one GPA and only one number of credits.
In a function, one value of the input can be related to only one value of the output.
In this problem:
The input is the student.The output is the student GPA, and the number of credits earned.Each student is related to only one GPA and only one number of credits, hence one value of the input is related to only one value of the output, and f is a function.
To learn more about the function concept, you can take a look at https://brainly.com/question/12463448
A rectangular prism with a volume of 101010 cubic units is filled with cubes with side lengths of \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction unit.
How many \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction unit cubes does it take to fill the prism?
now, we're assuming that the prism has a volume of 10³ and is filled with cubes of sides 1/2 long, Check the picture below.
now notice the bottom-right part of the picture, if we put two small cubes next to each other, they add up to 1, so to get 10 units from that, we'll need 20 of those halves, or 20/2 = 10, meaning we'll need 20 cubes side by side to make a length of 10 horizontally.
The same will be true for getting cubes to make up 10 vertically, we'll need 20, the same is true to fill up from back to front, we'll need 20 cubes.
so we can say that the rectangular prism will need 20 cubes from front to back, 20 horizontally and 20 vertically, that'll be 20*20*20 cubes, or 20³ or 8000 cubes.
mind you that we used a Cube for the prism, but the same will be true if we were to rearrange the cubes and make the prism taller or wider, same 8000 cubes will fill it in.
Help me with this plzzzzzzzzz
Answer:
B : x € (-∞, 1)
Step-by-step explanation:
we have 4x +9 -2 +3x < 14
7x +7 < 14
7(x+1) < 14
x + 1 < 2
x < 1
=> x € (-∞, 1)
in the pediatric unit of a hospital has 165 beds how many are there if each room holds 3 beds
Answer:
There are 55 rooms
Step-by-step explanation:
There are 165 beds in the hospital. Each room contains 3 beds. In order to find the number of beds per room, take the total number of beds and divide it by the number of rooms in each bed. 165/3=55. There are 55 rooms in the hospital, all containing 3 beds.
Hope this helps!
what is the slope of (-1,-2) and (-2,2)
[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,-2)~~ \text{and}~~ (x_2,y_2) = (-2,2)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{2 -(-2)}{-2-(-1)} = \dfrac{2+2}{-2+1} = \dfrac{4}{-1} = -4[/tex]
Given the system: 3x-3y=9 -9x+12y= -30
What number would you multiply the TOP equation by to eliminate your "x" values with addition?
Answer:
you would multiply by 3.
Step-by-step explanation:
Hi there!
In order to solve this system of equations through elimination, the sum of either the x or y values will have to equal 0. To eliminate x, you would have to find what, when added, will make the sum 0. In this case, a positive 9 will cancel out the -9 and give us 0. All we have to do is multiply the top equation by 3 so that the x value is equal to 9x!
I hope this helps!
What is the measure of ZB?
Answer:
∠ B = 116°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ B + 28° + 36° = 180°
∠ B + 64° = 180° ( subtract 64° from both sides )
∠ B = 116°
Answer:
116°Step-by-step explanation:
The sum of interior angles of a triangle is 180°
so
180 - 36 - 28 =
116°
Pls help as soon as possible thank you
Answer:
The domain corresponds to the values of the x and the range to the values of the y. So:
D: {-3, 0, 3}
R: {-6, 0, 6}
Answer:
[tex]\huge\boxed{A.}[/tex]
Step-by-step explanation:
Domain:
"Set of values on x-axis"
Domain = {-3,0,3}
Range:
"Set of values on y-axis"
Range = {-6,0,6}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807a map of a rectangle park has the length of 4inches and a with of 6 inches. It uses a scale of 1 inch every 30 miles. What is the area of the park
Answer:
720 mi²
Step-by-step explanation:
The map has a scale of 1 in: 30 mi, meaning that for every inch you see on the map, in the real-life location, it will measure 30 miles. So we can find the area of the park on the map and then turn it into miles using the scale:
Area of a rectangle:
[tex]A=bh[/tex]
Replace the known values:
[tex]A=(4)(6)\\ A=24[/tex]
The area on the map is 24 mi², we can turn it to miles using the scale by multiplying our result with 30:
[tex]A=(24)(30)\\ A=720[/tex]
And last but not least, don't forget to put the unit!
The − and −axes, the ordinate = 3 and the curve =
2 + 1
-4(-2u+3)-u=3(u-7)-5
where you simplify your answer as much as possible
Answer:
-7/2
Step-by-step explanation:
-4(-2u+3)-u=3(u-7)-5
8u-12-u=3u-21-5
8u-u-12=3u-26
7u-12=3u-26
7u-3u-12=-26
4u-12=-26
4u=-26+12
4u=-14
u=-14/4
simplify
u=-7/2
Answer:
u = - 3.5
Step-by-step explanation:
Before solving this you have to know that,
(-) × (-) = (+)
(-) × (+) = (-)
(+) × (+) = (+)
Let us solve now.
[tex]-4(-2u+3)-u=3(u-7)-5[/tex]
[tex]8u-12-u=3u-21-5[/tex]
[tex]7u-12=3u-26[/tex]
[tex]7u-3u=12-26[/tex]
[tex]4u=-14[/tex]
[tex]\frac{4u}{4} = \frac{-14}{4}[/tex]
[tex]u=-3.5[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
Recall the half-angle identity for sine,
sin²(x/2) = (1 - cos(x))/2
Then the given equation is identical to
sin²(θ) = 1 - cos(θ)
Also recall the Pythagorean identity,
sin²(θ) + cos²(θ) = 1
Then we rewrite the equation as
1 - cos²(θ) = 1 - cos(θ)
Factoring the left side, we have
(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)
and so
(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0
and we factor this further as
(1 - cos(θ)) (1 + cos(θ) - 1) = 0
which gives
cos(θ) (1 - cos(θ)) = 0
Then either
cos(θ) = 0 or 1 - cos(θ) = 0
cos(θ) = 0 or cos(θ) = 1
[θ = arccos(0) + 2nπ or θ = -arccos(0) + 2nπ]
… or [θ = arccos(1) + 2nπ or θ = -arccos(1) + 2nπ]
(where n is any integer)
[θ = π/2 + 2nπ or θ = -π/2 + 2nπ] or [θ = 0 + 2nπ]
In the interval 0 ≤ θ < 2π, we get three solutions:
• first solution set with n = 0 ⇒ θ = π/2
• second solution set with n = 1 ⇒ θ = 3π/2
• third solution set with n = 0 ⇒ θ = 0
So, the first choice is correct.
Help me please ill mark as the brainiest if correct. I don't know how so please tell me
Answer:
:)))))
Step-by-step explanation:
<3
What is the product of (x2 + 3x + 9) and ( 2x + 7)?
Answer:
Ez 1+1=3 Duh
Step-by-step explanation:
You add 1 to 1 it will become 3The temperature was -1°F at noon and dropped to -14°F by the evening.
What was the change in temperature?
13°F
-13°F
-15°F
15°F
Answer:
-13°F is the change in temperature.
Step-by-step explanation:
The change in temperature is,
→ -1 + x = -14
→ x = -14 + 1
→ [ x = -13 ]
Hence, -13°F is the change.
X=
Y=
Find the values of X and Y
Answer:
Y=65
X= 50
Step-by-step explanation:
180-115=65
Y=65
65+65=130
180-130=50
X =50
please help
meeeeeeeeeeeeeeee
Answer:
C 43
Step-by-step explanation:
happy holidays
Answer:
Since the two triangles are similar, the two medians AC and FH are in proportion. The proportionality rate is [tex]k=\frac{48}8=6[/tex]. That is the same ratio of the sides., so AD is k times the corresponding side FG, or [tex]\overline {AD} = k\overline{FG} = 6\times 9 = 63[/tex]
[(-4 2/7) x (-18)] x (-3 8/9) x (-1)
Answer:
300
Step-by-step explanation:
[(-4 2/7) x (-18)] x (-3 8/9) x (-1)
= [-30/7 x -18] x -35/9 x -1
= 540/7 x -35/9 x -1
= -300 x -1
= 300
Answer:
check if the question I used is right or not
2 2/7 multiplied by 5 1/6
Answer:
11 17/21
Step-by-step explanation:
Answer:
11 17/21
Step-by-step explanation:hope i helped
How do you multiply a fraction and a whole number? Please explain step by step to get marked as brainliest!
Answer: 1 1/2 x 4 4/7
= 3/2 x 32/7
= 96/14
Step-by-step explanation:
1. Write the whole number as a fraction with a denominator of 1.
2. Multiply the numerators.
3. Multiply the denominators
4. Simplify. If needed, if your answer is greater than 1, you may want to write your answer as a mixed number.
will give brainliest due in 20 min
Answer:
25 is the area of ABCD
Step-by-step explanation:
5×5 = 25