Answer:
d = 7
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]
Plug in our 2 coordinates:
[tex]d = \sqrt{(2-2)^2+(1+6)^2}[/tex]
And you should get 7 as your final answer.
Answer:
7 units
Step-by-step explanation:
Since the x coordinates are the same, we only have to look at the difference between the y coordinates to determine the distance
1 - -6 = distance
1+6 = 7
The distance is 7 units
I need help thank you!!
Answer:
1
Step-by-step Explanation
Step-by-step Explanation
[tex] \huge{ \red{ \csc \: \frac{\pi}{2}} = \purple{ 1}} \\ [/tex]
4 tons, 568 pounds = ____ pounds
Answer: 8568 pounds
poopity scoopity:)))
There are total 8568 pounds in 4 tons and 568 pounds.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement.
For example, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, there are how many pounds in 4 tons plus 568 pounds in total,
So, for the same we will use the concept of unit conversion,
Here, we will convert the unit of 4 tons into pounds then add the extra pounds given to get the total pounds,
Since, we know that, 1 ton = 2000 pounds
So, 4 tons = 4 x 2000 = 8000 pounds
Therefore,
4 tons plus 568 pounds
= 8000 pounds + 568 pounds = 8568 pounds
Hence, there are 8568 pounds in 4 tons plus 568 pounds
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How do i solve for y and x?
Answer:
You use the facts about a 30, 60, 90 triangle.
Step-by-step explanation:
The angles in a triangle add up to 180.
90+30+x=180
120+x=180
x=60
This is a 30-60-90 right triangle.
The side opposite the 30 degree angle is a.
The side opposite the 90 degree angle (hypotenuse) is 2a.
The side opposite the 60 degree angle is a[tex]\sqrt{3}[/tex]
We know the side opposite the 90 degree angle.
2a = 12[tex]\sqrt{3}[/tex]
Divide by 2.
a=6[tex]\sqrt{3}[/tex]
a is the side opposite the 30 degree angle (y)
Because we know a, we can find a[tex]\sqrt{3}[/tex].
6[tex]\sqrt{3 } (\sqrt{3})[/tex]
The square roots cancel, leaving 3.
6 times 3 is 18.
Therefore, the side opposite the 60 degree angle (x) is 18.
What is the domain of the function shown in the graph below
Answer:
Domain: (-∞, -7) ∪ (-7, ∞)
Step-by-step explanation:
There is a vertical asymptote at x = -7, so the answer would be all real numbers except for when x= -7
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected? Plz help!
Answer:
Minimum 5 socks needs to be selected.
Step-by-step explanation:
Given that there are four different colors of socks.
So, if you pick 4 socks , in worst case it will be all four of different color.
now if you pick 5th socks it will be either of those four colors.
Hence, minimum 5 socks must be taken to ensure that a pair of matching-color socks is selected.
______________________________________________
To elaborate it more,
let four colors be red, yellow, blue , green
if you pick 5 socks, then in worst case four will be all of different color
red, yellow, blue , green but fifth will be
If red socks, then there will 1 pair of red socksIf yellow socks, then there will 1 pair of yellow socksIf blue socks, then there will 1 pair of blue socksIf green socks, then there will 1 pair of green socksHence. minimum 5 socks needs to be selected.
_______________________________________
In general, if you have n objects of different colors then you need to take minimum n+1 number of object to have at least two object of same color.
Need Help With this question
Answer:
Area of ΔDEF = 12 in²
Step-by-step explanation:
Since they are similar, we have to find the scale factor
Scale Factor = [tex]\frac{Side OfDilated Triangle}{Side of Original Triangle}[/tex]
Scale Factor = 4/2
Scale Factor = 2
This means The area of ΔABC is 2 times the area of ΔDEF
So,
ΔABC = 2(ΔDEF)
Where Area of ΔABC = 24 in²
24 = 2(ΔDEF)
Dividing both sides by 2
=> Area of ΔDEF = 12 in²
In a newspaper, it was reported that yearly robberies in Springfield were down 2% to 245 in 2014 from 2013. How many robberies were there in Springfield in 2013?
Answer:
250
Step-by-step explanation:
245 / 0.98 = 250
Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the
perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm. What is the length of PC?
А
B
C
PC is
cm in length.
Answer:
The length of the side PC is 34 cm.
Step-by-step explanation:
We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm.
As, it is given that AD = 90 cm and the three sides AB = BC = CD.
From the figure it is clear that AD = AB + BC + CD
So, AB = [tex]\frac{90}{3}[/tex] = 30 cm
BC = [tex]\frac{90}{3}[/tex] = 30 cm
CD = [tex]\frac{90}{3}[/tex] = 30 cm
Since the triangle, BPC is a right-angled triangle as [tex]\angle[/tex]PBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.
Now, the Pythagoras theorem states that;
[tex]\text{Hypotenuse}^{2} = \text{Perpendicular}^{2} +\text{Base}^{2}[/tex]
[tex]\text{PC}^{2} = \text{BP}^{2} +\text{BC}^{2}[/tex]
[tex]\text{PC}^{2} = \text{16}^{2} +\text{30}^{2}[/tex]
[tex]\text{PC}^{2} = 256+900[/tex] = 1156
[tex]\text{PC}=\sqrt{1156}[/tex]
PC = 34 cm
Hence, the length of the side PC is 34 cm.
17T 13lb 3oz − 9T 20lb 9oz
→Answer:
8T - 7lb - 6oz
→Step-by-step explanation:
So 17T 13lb 3oz - 9T 20lb 9oz
This information is asking us to simplify the expression.
To do that we need to combine like terms meaning If t and t are alike variables they go together.
And in this expression we have 3 pairs of alike variables which are T, lb, and oz.
So we need to subtract all the like terms.
_____________
17T - 9T is 8T
13lb - 20lb is -7lb
3oz - 9 oz is -6oz
______________
So,
The expression now shows 8T - 7lb - 6oz.
___________________I do hope this helps!________________
_____________Brainliest is always appreciated!_____________
Find the volume, in cubic centimeters, of the solid shown
where h = 14 cm, s = 7 cm, and d = 10 cm. (Round to two
decimal places.)
Answer:
733.04
Step-by-step explanation:
Cylinder:
V=3.14x5x5x7
=549.78
Cone:
V=3.14x5x5x7/3
=183.26
TOTAL:
549.78+183.26=733.04
due in 5 min need help please ?
Answer:
x = 1
Step-by-step explanation:
This is a 30-60-90 triangle, which means that if the long leg is the square root of 3, the hypotenuse is 1.
Answer:
X=1
Step-by-step explanation:
Miguel owns a music store and sells DVDs
at $16 per DVD. If Rebecca orders 6 DVDs,
how much does it cost?
Dependent:
Independent:
Continuous or Discrete:
Function:
Solution:
Answer:
Dependent = cost
independent = number of DVDs
Discrete
Function :f(x) = 16 x = 16 (6)
Solution = $96
Step-by-step explanation:
Hi, to answer this question we have to write a function:
The cost (f(x)) must be equal to the price per DVD (16) multiplied by the number of DVDs (x)
Function: f(x) = 16 x
Dependent = f (x) =(cost)
Independent = x (number of DVDs)
Solution for x=6
f(6) = 16 (6)
Cost = $96
Since the number of DVDs can't be fractional it's a Discrete function.
Answer:
u have insta
Step-by-step explanation:
Which expression is equivalent to 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12? 10 Superscript 12 11 Superscript 12 12 Superscript 10 12 Superscript 11
Answer:
[tex] 12^{11} [/tex]
Step-by-step explanation:
Count the number of factors of 12. The number is 11. There are 11 factors of 12, so the base is 12, and the exponent is 11.
Answer: [tex] 12^{11} [/tex]
Answer:
12¹¹
Step-by-step explanation:
12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12
12 is being multiplied by itself 11 times.
= 12¹¹
= 743008370688
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized
Answer:
Option B.
Step-by-step explanation:
The given triangle is a right angle triangle.
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan (45^{\circ})=\dfrac{v}{7}[/tex]
[tex]1=\dfrac{v}{7}[/tex]
[tex]7=v[/tex]
Using Pythagoras theorem, we get
[tex]hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]u^2=v^2+7^2[/tex]
[tex]u^2=7^2+7^2[/tex]
[tex]u^2=2(7^2)[/tex]
Taking square root on both sides, we get
[tex]u=\sqrt{2(7^2)}[/tex]
[tex]u=7\sqrt{2}[/tex]
Therefore, the correct option is B.
how do I find the radius
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the SURFACE AREAS AND VOLUMES.
Since the given section is a Sector of a Circle with length as, 8πcm .
Thus then it's folded veltically at an axis to make a cone.
since we know that, The Curved surface area of a cone is given as formula,
C.S.A = πrl
where, r = radius and l = slant height.
also 2πr = circumference of a circle,
we get as, radius = 4 cm.
Answer:
r = 4 cm
Step-by-step explanation:
AB is actually the circumference of the circle
So,
Circumference = 8π cm
Whereas,
Circumference = 2πr
8π = 2πr
Dividing both sides by 2π
=> r = 4 cm
On a piece of paper, graph y - 3 > 2x + 2. Then determine which answer choice matches the graph you drew. A. Graph A B. Graph B C. Graph C D. Graph D
Answer: Graph C
Step-by-step explanation:
The correct graph is C.
What is an inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given : On a piece of paper, graph y - 3 > 2x + 2.
To find : determine which answer choice matches the graph you drew,
y - 3 > 2x + 2
y > 2x + 5
x = 0
y > 5
x = - 3
y > - 1
at x = 0, y = 5
0 < 5
origin does not lie in the shaded region,
as y > 2x + 5
line y = 2 x+ 5 is not part of solution (dotted line)
Hence Graph C is correct
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Work out the value of n 1/4 × √ 2 = 2 n | 1/4 is a fraction
Answer:
n = √2/8
Step-by-step explanation:
1/4 × √ 2 = 2n
√2/4 = 2n
√2 = 4×2n
8n = √2
n = √2/8
The value of n in
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
is n = √2 / 8
The given equation is:
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
Multiply through by 4
[tex] \sqrt{2} = 4(2n)[/tex]
This can be further simplified as
[tex] \sqrt{2} = 8n[/tex]
[tex] \frac{ \sqrt{2} }{8} = \frac{8n}{8} [/tex]
The like terms cancel out
[tex]n = \frac{ \sqrt{2} }{8} [/tex]
Therefore, the value of n in
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
is
[tex]n = \frac{ \sqrt{2} }{8} [/tex]
Learn more here: https://brainly.com/question/2956399
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes and Boat 1 now sails at 9 knots. At 3 pm, the wind increases for Boat 2 and it now sails 7 knots faster. How fast (in knots) is the distance between the two ships changing at 5 pm. (Note: 1 knot is a speed of 1 nautical mile per hour.)
Answer:
14.86 knots.
Step-by-step explanation:
Given that:
The boats leave the port at noon.
Speed of boat 1 = 12 knots due east
Speed of boat 2 = 8 knots due south
At 2 pm:
Distance traveled by boat 1 = 24 units due east
Distance traveled by boat 2 = 16 units due south
Now, speed of boat 1 changes to 9 knots:
At 3 pm:
Distance traveled by boat 1 = 24 + 9= 33 units due east
Distance traveled by boat 2 = 16+8 = 24 units due south
Now, speed of boat 1 changes to 8+7 = 15 knots
At 5 pm:
Distance traveled by boat 1 = 33 + 2[tex]\times[/tex] 9= 51 units due east
Distance traveled by boat 2 = 24 + 2 [tex]\times[/tex] 15 = 54 units due south
Now, the situation of distance traveled can be seen by the attached right angled [tex]\triangle AOB[/tex].
O is the port and A is the location of boat 1
B is the location of boat 2.
Using pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units[/tex]
so, the total distance between the two boats is 74.28 units.
Change in distance per hour = [tex]\dfrac{Total\ distance}{Total\ time}[/tex]
[tex]\Rightarrow \dfrac{74.28}{5} = 14.86\ knots[/tex]
In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C is (10 x + 8) degrees. 5.5 6.5 55 65
Answer:
x = 6.5
Step-by-step explanation:
Since all angles in a triangle adds up to 180°, we have:
10x - 10 + 10x + 8 + 8x = 180
28x - 2 = 180
28x = 182
x = 182/28 or 6.5
Answer:
6.5
Step-by-step explanation:
Sum of three angles of triangle = 180
10x - 10 + 8x + 10x + 8 = 180
28x - 2 = 180
28x = 180 + 2
28x = 182
x = 182/28
x = 6.5
1
2
3
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Which algebraic expression represents the phrase "four times a number"?
O 4 +C.
Oc-4
4-c
40
Answer:
Step-by-step explanation:
"Four times a number" in symbols is "4n."
2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x + 2)
B. -7(x-6)(x + 1)
C. -1(7x-9)(x + 2)
O D. (-7x+ 9)(x-2)
SUBMI
Answer:
C
Step-by-step explanation:
Factor: -7x^2 -5x+18
Factor -1 out of 7x^2 -5x +18:
−(7x^2+5x−18)
Factor.
1. 18 is negative, so a negative number multiplied by a postive number.
2. You can't factor 7, so 7x times x.
(7x−9)(x+2)
Answer: the correct answer is C
Step-by-step explanation:
Jason wants to build a ramp for a wheelchair at an angle of 10° with the ground. If the ramp has a horizontal length of 20 m, what is the maximum height of the ramp?
Answer:
12 mStep-by-step explanation:
Given data
θ= 10°
Horizontal length is equivalent to the adjacent= 20 m
the height of the ramp is equivalent to the opposite=?
Applying SOH CAH TOA we have
using TOA
Tan θ= opp/adj
Tan 10= opp/20
opp= Tan(10)* 20
opp= 0.64836*20
opp= 12.96
Approximately the maximum height of the ramp is 12 m
For the fraction 3/25, (a) write a percent and (b) write a decimal.
Answer:
Step-by-step explanation:
3/25 = 12%
3/25=0.12
Answer:
12%
.12
Step-by-step explanation:
3/25 * 4/4 = 12/100
Percent means out of 100
12%
12/100
Since it is out of 100, we can move the decimal 2 places to the left
.12
What value from the set {2, 4, 6, 8} can be substituted for x to make an inequality x > 7 true?
Answer:
8
Step-by-step explanation:
8 is greater than 7
I cant figure this one out..
Answer: y=-4/3x-(34/3)
Step-by-step explanation:
Since we want to find the equation of a parallel line, we know the slope is going to stay the same. If the slope is changed, the lines will intersect at one point. All we need to do is to find the y-intercept. We can do that by using the point provided.
[tex]2=-\frac{4}{3} (-10)+b[/tex]
[tex]2=\frac{40}{3} +b[/tex]
[tex]b=-\frac{34}{3}[/tex]
Now that we know the y-intercept, we can complete the equation.
y=-4/3x-(34/3)
AWARDING FIRST CORRECT ANSWER WITH BRANLIEST
Answer:
[tex] \boxed{\sf (8x + y)(2x + 3y)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies {(5x + 2y)}^{2} - {( 3x - y)}^{2} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {(5x + 2y)}^{2} - (3x - y)^{2} = ((5x + 2y) + (3x - y)) \\ \sf ((5x + 2y) - (3x - y)) : \\ \sf \implies ((5x + 2y) + (3x - y))((5x + 2y) - (3x - y)) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + 3x - y = \\ \sf (5x +3x) + (2y - y) : \\ \sf \implies \boxed{ \sf( (5x +3x) + (2y - y))}((5x + 2y) - (3x - y) \\ \\ \sf 5x + 3x = 8x : \\ \sf \implies (\boxed{ \sf 8x} + (2y - y))((5x + 2y) - (3x - y)) \\ \\ \sf 2y - y = y : \\ \sf \implies (8x + \boxed{ \sf y})((5x + 2y) - (3x - y)) \\ \\ \sf - (3x-y)=y-3x: \\ \sf \implies (8x + y)(5x + 2y + \boxed{ \sf y - 3x}) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + y - 3x = \\ \sf (5x - 3x)(2y + y) : \\ \sf \implies (8x + y) + \boxed{ \sf ((5x - 3x)(2y + y))} \\ \\ \sf 5x - 3x = 2x : \\ \sf \implies (8x + y)( \boxed{ \sf 2x} + (2y + y)) \\ \\ \sf 2y + y = 3y : \\ \sf \implies (8x + y)(2x + \boxed{ \sf 3y})[/tex]
Answer:
(8x+y)(2x+3y)
Step-by-step explanation:
see attached
Solve the system of equations and choose the correct ordered pair. 6x-6y+11=17 and 9y=3x+15
Answer:
D is the correct answer
Step-by-step explanation:
according to the graph you can see that D should be correct.
Good luck! ^_^
Find the remainder when f(x) = x3 − 14x2 + 7x − 10 is divided by x − 3. 184 164 −88 −122
Answer:
122
Step-by-step explanation:
For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the divide until it reaches the remainder.
It must be fulfilled that:
Dividend = Quotient * Divisor + Remainder
we have that the remainder is 122.
have a good day
Answer:
The answer would be D) -122
Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain?
Answer:
Given:
Number of yards of red fabric purchased by Jane = 50
Number of yards of gold fabric purchased by Jane = 110
We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.
For this we will find H.C.F. of 50 and 110.
Factors of 50 = 1, 2, 5, 10, 25, 50.
Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.
So, Highest common factor of 50 and 110 is 10.
So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.
Number of yards of red fabric is given by:
50/10=5
Number of yards of gold fabric is given by
110/10=11
Hence, there are 5 red fabrics and 11 gold fabrics that would be used for each curtain.