Answer:
F = k/d^2
Step-by-step explanation:
We can see from the question that the force of attraction F is proportional to the inverse of the square of the distance separating the bodies, d.
So we have;
F α 1/d^2
So, introducing a constant of proportionality k,
F = k/d^2
Hence the formula connecting F and d is; F = k/d^2
i haven't submitted a single assignment for this class since winter break bc i didn't realize she was assigning things on goformative and not schoology and now we're on trigonometric ratios i'm confused help me
Answer and Step-by-step explanation:
Trigonometric Function (These only work for right triangles):
SOH-CAH-TOA
S = Sine = sin
C = Cosine = cos
T = Tangent = tan
O = Opposite (side)
H = Hypotenuse (side)
A = Adjacent (side)
SOH = sin(angle) = [tex]\frac{opposite}{hypotenuse}[/tex]
CAH = cos(angle) = [tex]\frac{adjacent}{hypotenuse}[/tex]
TOA = tan(angle) = [tex]\frac{opposite}{adjacent}[/tex]
1. sinQ (Q is the angle) = [tex]\frac{14}{50} = \frac{7}{25} = 0.28[/tex]
Use Pythagorean Theorem to find side PQ. [tex]14^{2} + PQ^{2}= 50^{2} \\PQ^{2} = 2304\\PQ = 48[/tex]
2. cosQ = [tex]\frac{48}{50} = \frac{24}{25} = 0.96[/tex]
3. tanQ = [tex]\frac{14}{48} = \frac{7}{24} = 0.29[/tex]
Translate the following phrase into an expression: “An unknown number increased by ten”
Answer:
n + 10
Step-by-step explanation:
We can substitute unknown number with any variable, such as n, and substitute increased by ten with + 10, because we are adding 10. Therefore, the answer is n + 10.
solving systems of linear inequalities
Answer:
YES. (2, 7) is a solution of the system.
Step-by-step explanation:
System of linear inequalities has been given as,
y ≥ -x + 1 --------(1)
y < 4x + 2 ------(2)
If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.
By substituting the coordinates of point (2, 7) in inequality (1),
7 ≥ -2 + 1
7 ≥ -1
True.
By substituting the coordinates of point (2, 7) in inequality (2),
7 < 4(2) + 1
7 < 9
True.
Therefore, point (2, 7) lie in the solution area of system of inequalities.
YES. (2, 7) is a solution of the system.
What is 3.116372 rounded to the nearest hundred thousandths place?
Answer:
3.116370
Step-by-step explanation:
1. Find hundred thousandths place: the 7
2. Look at the number behind it (2).
3. 2 is 4 or less so it would be 3.1116370.
4. The numbers after the place you round ( Here hundred thousandths)
turn into zeros.
Question 1 (1 point)
rCKDCJU8REiqxA77lV1wV2cHFZfr5tUaTGXFyevoxRboy_VmEz4R7wgZXpfqpY_aAOyvKWcTjBhUHdTxvo6W4sP9mOERugsKxruddHPqsR8t4LnexvVvVd_s6pJJJlrYJwHutIwNfwE
What is this an example of?
a
Points Line
b
Point
c
Line intersection
d
point plane
Answer:
definitely C
Step-by-step explanation:
because the fhitnesss grahm pacer test.....
What’s the answer???
Answer:
i'm not sure what is it ?
Step-by-step explanation:
Triangle DEF is dilated to create triangle DAB. What scale factor was used?
please hurry in less than 10 min
Answer:
Not sure how you would word it but the bigger triangle is 2 times larger than DEF.
Step-by-step explanation:
DE=4
AE=4
4+4=8
AD=8
Hope this helps!!
The scale factor used to create DAB from triangle DEF is 2.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The length of the base of the triangle DEF is 4 units and of DAB is 8 units.
The length of the height of DEF is 3 units and that of DAB is 6 units.
From this, we conclude that the scale factor is 2 as 8 is a multiple of 2×4 and 6 is a multiple of 2×3.
learn more about transformation here :
https://brainly.com/question/11709244
#SPJ2
Help! Look at the pic of attached. I will mark brainliest!
Answer:
you did not attach a paper
Step-by-step explanation:
sorry I wish I could help
Which attribute is shared by both squares and trapezoids?
A) 4 sides
B) 4 right angles
C) All sides of equal length
D) 2 sets of parallel sides
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!
Answer:I feel like it’s either C or B
Step-by-step explanation:
A 30-60-90 triangle is shown below. Find the Value of X.
Will mark brainliest
Answer:
x = 5
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1: [tex]\sqrt{3}[/tex] : 2
to find 'x' for the triangle shown, divide the hypotenuse by 2
10/2 = 5
help pls, i’ll mark as brainliest if correct
Answer: -11/12
Step-by-step explanation:
A soccer team paid $28 per uniform. They bought 16 uniforms. How much money did the team spend on uniforms?
Answer:
$448
Step-by-step explanation:
PLEASE HELP I NEED THE ANSWER ASAP. I WILL GIVE 30 POINTS AND BRAINLIEST
What is the area of the figure? _____ square units
Answer: Roses are red, Violets are blue, I liked my own answer because nobody wanted to...
Answer:
6
Step-by-step explanation:
Someone please help me with this questions
Answer:
Coefficient Is the small 2
A microscope was originally priced at $100 but went on sale for 10% off. If Adele bought the microscope and paid 10% sales tax, how much did she pay in total?
Which One Doesn't Belong?
6(4 + 3)
418 + 14)
3(8 + 6)
18 + 24
help me pass my class .
Answer:
about 3.6
Step-by-step explanation:
pythagorean theorem
sqrt 13
in dallas, a tax of 11,400 is owed on a property tax whose value is 600,000. if tax rates are proportional in this city, find the tax property on whose value is 340,000
Answer:
6460Step-by-step explanation:
Use tax/property ratio:
11400/600000 = x/ 340000x = 340000*11400/600000x = 6460Solve. Show steps. Write the solution set using set-builder notation.
-2<=1-3x<=2
(<= means greater or equal to)
Answer:
< is greater sign and = is equal to sign
Evaluate the expression 50 - t when t equals 10, 20, or 25. Then
complete the table to show the values.
50 t
50 -t
50-t
50 -
50 -
50 -
!!
Answer:
[tex](t,50-t) = \{(10,40),(20,30),(25,25)\}[/tex]
Step-by-step explanation:
Given
[tex]Expression: 50 - t[/tex]
Required
Evaluate when:
[tex]t = \{10,20,25\}[/tex]
When [tex]t =10.[/tex]
The expression is:
[tex]50 - t = 50 - 10[/tex]
[tex]50 - t = 40[/tex]
When t = 20
The expression is:
[tex]50 - t = 50 - 20[/tex]
[tex]50 - t =30[/tex]
When [tex]t = 25[/tex]
The expression is:
[tex]50 - t = 50 - 25[/tex]
[tex]50 - t =25[/tex]
The result is:
[tex](t,50-t) = \{(10,40),(20,30),(25,25)\}[/tex]
100 is the answer okay
need some help on my math
please help i need A grade
Answer:
2and 9/10
Step-by-step explanation:
3 1/5- 3/5= 2 9/10
Lola made $104.54 working 11 hours this week. Next week she is working 15 hours. How much will she make?
Answer:
$142.50
Step-by-step explanation:
If you divide how much she made by 11 you find out she makes $9.50 and hour and then you mutiply $9.50 by the 15 hours she works.
3x-9=7x+14 solve for x
Answer:
x= - 23/4
Step-by-step explanation:
Add 9 to both sides of the equation:
3x -9 = 7x +14
3x- 9 + 9 = 7x +14 +9
Simplify:
3x -9 + 9 = 7x +14 +9
3x = 7x +14 +9
3x =7x +14 +9
Subtract 7x from both sides of the equation:
3x= 7x +23
3x -7x = 7x +23 - 7x
Simplify Again:
3x -7x = 7x +23 -7x
-4x =23
Combine like terms:
-4x =23
Divide both sides of the equation by the same terms:
14x/ 14 = 23/ -4
Cancel terms that are both the numerator and the denominator:
x= - 23/- 4
Answer:
x= - 23/4
Raul calculated that he would spend $125 on school supplies this year. He actually spent $87.50 on school supplies. What is Raul’s percent of error?
A 42.9%
B 37.5%
C 30%
D 3%
Answer:
C 30%
Step-by-step explanation:
87.50/125= 0.70
1-0.7-0.3
Answer:
42.9%
Step-by-step explanation:
So you would use [ ((V2 - V1) / |V1|) * 100 ]
V1 = 87.5 to V2 = 125
= ((125 - 87.5) / |87.5|) * 100
= (37.5 / 87.5) * 100
= 0.428571 * 100
= 42.8571% change
= 42.8571% increase
Then you round to 42.9!
Hope it helps! :)
3. Select all answers that would create a dilation.
O (x,y) -----> (2x,4y)
O (x,y) -----> (-2x,-2y)
O (x,y) -----> (92x,2y)
O (x,y) -----> (3x,3y)
O (x,y) -----> (1.2x,1.2y)
Answer:
Option B,D and E will create dilation.
Step-by-step explanation:
Dilation is the enlarging or shrinking of an element using a common scale factor.
If the same factor is multiplied by the elements, the dilation is created.
Looking at the options:
Option A
O (x,y) -----> (2x,4y)
if we take 2 as common we get 2 (x,2y) not the original coordinates (x,y). So, no dilation.
Option B
O (x,y) -----> (-2x,-2y)
if we take -2 as common we get -2(x,y) which is same as original coordinates. It would create dilation.
Option C
O (x,y) -----> (92x,2y)
if we take 2 as common we get (46x,y) not the original coordinates (x,y). So, no dilation.
Option D
O (x,y) -----> (3x,3y)
if we take 3 as common we get 3(x,y) which is same as original coordinates. It would create dilation.
Option E
O (x,y) -----> (1.2x,1.2y)
if we take 1.2 as common we get 1.2(x,y) which is same as original coordinates. It would create dilation.
So, Option B,D and E will create dilation.
I need help with a math question
( 10 - 2n ) - ( 5n - 8)
Answer:
− 7n+18
Step-by-step explanation:
(10- 2n)- (5n- 8)
− 2n+10-5n+8
-7n+18
At a sale, suits were sold for $49 each. This price was 35% of a suit's original price. How much did a suit originally cost?
Answer:
Step-by-step explanation:
Hi
Answer:
140
Step-by-step explanation:
I divided 49/35 = 1.4. Now I multiplied 1.4 and 100 = 140.
Example: At a baseball game, Henry bought 3 hotdogs and a bag of chips for $14. Scott bought 2 hotdogs and a
bag of chips for $10. Each of the boys paid the same price for their hotdogs, and the same price for their chips. The
following system of equations can be used to represent the situation. Determine the best method to solve the system
of equations. Then solve the system.
Answer:
h = $4 a hotdog
c = $2 bag of chips
Step-by-step explanation:
3h + c = 14
2h + c = 10
3h + c = 14
-2h - c = -10
h = $4 a hotdog
2(4) + c = 10
8 + c = 10
c = $2 bag of chips