Answers
Answer: 1b 2c 3e? 4d 5a
Step-by-step explanation:
There are 2 items that need to be checked.
The midpoint of the coordinates is the center of the circleThe diameter of the coordinates is the diameter of the circle.Midpoint:
[tex]Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\1)\ \bigg(\dfrac{-4+2}{2},\dfrac{-1+10}{2}\bigg)=\bigg(\dfrac{-2}{2},\dfrac{9}{2}\bigg)=(-1, 4.5)\implies \text{equation b}\\\\\\2)\ \bigg(\dfrac{1+7}{2},\dfrac{3-10}{2}\bigg)=\bigg(\dfrac{8}{2},\dfrac{-7}{2}\bigg)=(4, -3.5)\implies \text{equation c}\\\\\\3)\ \bigg(\dfrac{4-8}{2},\dfrac{-2+6}{2}\bigg)=\bigg(\dfrac{-4}{2},\dfrac{4}{2}\bigg)=(-2,2 )\implies \text{none of the equations}[/tex]
[tex]4)\ \bigg(\dfrac{6-4}{2},\dfrac{3-13}{2}\bigg)=\bigg(\dfrac{2}{2},\dfrac{-10}{2}\bigg)=(1, -5)\implies \text{equation d}\\\\\\5)\ \bigg(\dfrac{7-1}{2},\dfrac{5+8}{2}\bigg)=\bigg(\dfrac{6}{2},\dfrac{13}{2}\bigg)=(3, 6.5)\implies \text{equation a}[/tex]
Diameter:
distance between coordinates = 2√r² (from circle equation)
[tex]\text{formula for coordinates is: }d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\1)\ \text{Coordinates: } d=\sqrt{(-4-2)^2+(-1-10)^2}=\sqrt{36+121}=12.5\\b)\ \text{Circle: }2\sqrt{39.25}=12.5\\\\\\2)\ \text{Coordinates: } d=\sqrt{(1-7)^2+(3+10)^2}=\sqrt{36+169}=14.3\\c)\ \text{Circle: }2\sqrt{51.25}=14.3\\\\\\4)\ \text{Coordinates: } d=\sqrt{(6+4)^2+(3+13)^2}=\sqrt{100+256}=18.9\\d)\ \text{Circle: }2\sqrt{89}=18.9[/tex]
[tex]5)\ \text{Coordinates: } d=\sqrt{(7+1)^2+(5-8)^2}=\sqrt{64+9}=8.5\\a)\ \text{Circle: }2\sqrt{18.25}=8.5[/tex]
Check:
Graph to confirm your answers are correct (see attached)
Related Questions
on Monday the school cafeteria made a collection of $99.55 from paid lunch. The next day 40 students ate at the cafeteria. if the collection of lunch money on Monday was $19.95 more how much did the school lunch cost?
Answers
just about 49. cents a person
Answer:
99.55 – 40x = 19.95 ; $1.99
Step-by-step explanation:
Answer: $1.99
solve the equation j/3 = 4.5 J=
Answers
The solution to the equation j/3 = 4.5 is j = 13.5
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
j/3 = 4.5
Multiply both sides of the equation by 3
So, we have
3 * j/3 = 4.5 * 3
Evaluate the products
This gives
j = 13.5
Hence, the solution to the equation is 13.5
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Quincy feeds his dog 2.75 cups food each day each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?
Answers
2times1 because 2.75 take the 75 off and 1.25 take the 25 off so you multiply 2 and 1 so 2times1 equals 2
Answer:
C) 3 x 1
Step-by-step explanation:
First, you round 2.75 to 3 because of the rounding rule- "If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up." Then you round 1.25 to 1 because of the rounding rule. Then you get 3 x 1!
Hope this helps-
maggbaron765
brando had 15 pairs of kicks,then went nuts and bought a bunch more onlie.After they all showed up.he realized he had 84 pairs of shoes,and was trying to figure out how many pairs of shoes he bought online
Answers
How long should u spend on your phone
Answers
Answer:
um dunno like 2 hours a day?
Step-by-step explanation:
2x, x representing day? So 2 days = 2*2 = 4 hours?
Answer:
3 hours a day
Step-by-step explanation:
If you are on your phone to much you could have eye problems when you grow up or other problems.
What is the surface area of the sphere?
Answers
Answer:
1024πcm²
Step-by-step explanation:
The surface area of a sphere is found using the following formula:n A=4πr². r is the radius while A is the surface area.
in the sphere the radius is 16 cm thus:
A=4×π×16²
=1024π cm²
Answer:
The correct answer is third option 1024π
Step-by-step explanation:
Formula:-
Surface area of sphere = 4πr²
Where r is the radius of sphere
To find the surface area of sphere
Here r = 16
Surface area = 4πr²
= 4 * π *16²
= 4 * π * 16 * 16 = 1024π
Therefore surface area of sphere = 1024π
The correct answer is third option 1024π
You are about to sue your contractor who promised to install a water tank that holds 500 gallons Of Water. You Know That 500 Gallons is The Capacity Of A Tank That holds 67 cubic feet. the Cylindrical Tank Has A Radius Of 3 Feet And A Height Of 2 Ft 4 Inch. Does The Evidence Indicate You Can Win The Case Against The Contractor If It Goes To Court. SHOW YOUR WORK
Answers
67 cubic ft Tank hold 500 Gallons
57.48 cubic ft Tank will hold less than 500 Gallons
Yes you can win
The volume of a cylinder,
πr^2h => π x 3^2 x 2.033 = 57.48 cubic ft
67 cubic feet Tank hold 500 Gallons
57.48 cubic feet Tank will hold less than 500 Gallons
Yes you can win.
what is the volume of a cylinder?The volume of a cylinder in cubic feet is equal to π times the radius in feet squared times the height in feet. π is roughly equal to 3.1415. If you know the diameter of the cylinder, you can find the radius by dividing the diameter by two, or just use our circle diameter calculator.
Why is the volume of a cylinder?To calculate the volume of a cylinder, you need the radius or diameter of the circular base or top and a cylinder's height. The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder. The volume of a cylinder is measured in cubic units.
Cubic feet by multiplying three linear measurements—length, width, and height—in feet.π r2 h
The volume of a cylinder is given by the formula – π r2 h, where r is the radius of the cylinder and h is the height.
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help me asap i need to do tangent ratio !!!
Answers
QUESTION 1
The tangent ratio is the ratio of the length of the opposite side of the length of the adjacent side.
From ΔVWX,
[tex]\tan(X)=\frac{VW}{WX}[/tex]
From ΔYZX,
[tex]\tan(X)=\frac{YZ}{XZ}[/tex]
[tex]\therefore \tan(X)=\frac{VW}{WX}=\frac{YZ}{XZ}[/tex]
QUESTION 2
We use the tangent ratio to obtain;
[tex]\tan(V)=\frac{Opposite}{Adacent}[/tex]
[tex]\tan(V)=\frac{WX}{VW}[/tex]
QUESTION 3
From ΔVWX,
[tex]\tan(X)=\frac{VW}{WX}[/tex]
We take the inverse tangent of both sides to obtain;
[tex]X=\tan^{-1}(\frac{VW}{WX})[/tex]
[tex]\therefore \tan^{-1}(\frac{VW}{WX})=X[/tex]
QUESTION 4
From ΔVWX,
[tex]\tan(V)=\frac{WX}{VW}[/tex]
Taking the inverse tangent of both sides, we obtain;
[tex]V=\tan^{-1}(\frac{WX}{VW})[/tex]
[tex]\therefore \tan^{-1}(\frac{WX}{VW})=V[/tex]
QUESTION 5.
We know that
[tex]\tan(V)=\frac{WX}{VW}[/tex]
and
[tex]\tan(X)=\frac{VW}{WX}[/tex]
[tex](\tan X)(\tan V)=(\frac{VW}{WX})(\frac{WX}{VW}=1[/tex]
QUESTION 6.
[tex]\tan^{-1}(\frac{VW}{WX})=X[/tex]
[tex]\tan^{-1}(\frac{WX}{VW})=V[/tex]
This implies that;
[tex]\tan^{-1}(\frac{VW}{WX})+\tan^{-1}(\frac{WX}{VW})=X+V[/tex]
QUESTION 7
[tex]\tan 23\degree =0.4244[/tex]
We round to the nearest 0.01 to obtain;
[tex]\tan 23\degree =0.42[/tex]
QUESTION 8
[tex]\tan 43\degree =0.9325[/tex]
We round to the nearest 0.01 to obtain;
[tex]\tan 43\degree =0.92[/tex]
QUESTION 9
[tex]\tan ^{-1} 0.14=7.9696\degree[/tex]
We round to the nearest 0.01 to obtain.
[tex]\tan ^{-1} 0.14=7.97\degree[/tex]
QUESTION 10
[tex]\tan ^{-1} 1=45.00\degree[/tex]
QUESTION 11
[tex]\tan ^{-1} 0.14=7.97\degree[/tex]
This implies that;
[tex]\tan 7.97\degree=0.14[/tex]
QUESTION 12
[tex]\tan ^{-1} 1=45.00\degree[/tex]
This implies that;
[tex]\tan 45.00\degree=1[/tex]
Find the radius of the circle whose equation is x² + y² = 4.
Answers
Answer:
Radius : 2
Step-by-step explanation:
Rewrite in standard form to find the radius.
Hope this helps,
Davinia.
The radius of the circle with the equation x² + y² = 4 is 2 units, calculated by taking the square root of the right-hand side of the equation.
The question requires us to find the radius of a circle given its equation. The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. The given equation, x² + y² = 4, indicates that the circle is centered at the origin (0,0) and the radius is the square root of 4.
To calculate the radius, we take the square root of 4:
r = √4 = 2.
Therefore, the radius of the circle is 2 units.
PLEASE HELP I'll GIVE BRAINLIEST:
Jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. What is the area of the cross-section in square centimeters?
Answers
Answer: [tex]40cm^2[/tex]
Step-by-step explanation:
A cross-section is the shape that results of the intersection of a plane with an abject.
When the cone is sliced by a plane perpendicular to the base and passes through the vertex, the cross-section obtained is a triangle.
The area of the triangle can be calculated with the formula:
[tex]A=\frac{b*h}{2}[/tex]
Where the base of the triangle is b and its height is h.
The base of the triangle is the diameter of the cone. Knowing the radius, the diameter is:
[tex]diameter=2*radius\\diameter=2*4cm\\diameter=8cm[/tex]
Then:
[tex]b=8cm[/tex]
The height ot this triangle is the height of the cone:
[tex]h=10cm[/tex]
So, by substituting into the formula you get the area of the cross-section in square centimeters:
[tex]A=\frac{(8cm)(10cm)}{2})=40cm^2[/tex]
what is the answer?
Answers
[tex]\bf \begin{array}{cll} \cfrac{1}{3}\\\\\cline{1-1}\\ \cfrac{1}{9}~~\cfrac{1}{9}~~\cfrac{1}{9} \end{array}\qquad \implies\qquad \cfrac{1}{3}=\cfrac{1+1+1}{9}\implies \cfrac{1}{3}= \cfrac{3}{9} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{cll} \cfrac{1}{4}\\\\\cline{1-1}\\ \cfrac{1}{8}~~\cfrac{1}{8} \end{array}\qquad \implies\qquad \cfrac{1}{4}=\cfrac{1+1}{8}\implies \cfrac{1}{4}= \cfrac{2}{8}[/tex]
Which equation can be used to solve the following system? x+y=11
4x^2-3y^2=8
Answers
Rearrange x + y = 11.
x = 11 - y
Substitute into other equation.
4(11 - y)^2 = 3y^2 = 8
Answer:
4(11 - y)^2 - 3y^2 = 8 (#2)
Find the center and the radius of the circle whose equation is x square -16x+y square = 36
Answers
Answer:
center: (8, 0)radius: 10Step-by-step explanation:
The equation of a circle in a standard form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the equation:
[tex]x^2-16x+y^2=36\\\\x^2-2(x)(8)+y^2=36\qquad\text{add}\ 8^2\ \text{to both sides}\\\\\underbrace{x^2-2(x)(8)+8^2}_{(*)}+y^2=36+8^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\qquad(*)\\\\(x-8)^2+(y-0)^2=36+64\\\\(x-8)^2+(y-0)^2=100\\\\(x-8)^2+(y-0)^2=10^2\\\\\text{Therefore}\\\\center:(8,\ 0)\\radius:10[/tex]
hello plz help it’s urgent
Answers
1: Expression: 4500-2000
Answer: 2500 left to go
2: Expression: 20x
Answer: 40 centimeters
3: Expression: You can easily write and evaluate an expression based off of the terms/values used in the problem. If Stacy runs 5 miles and wants a goal of 10 miles, the expression would be 10-5 or 5+5. If Tom wants to give each of his 4 friends 2 cookies, the expression would be 4 • 2 (multiplication). If Jonny wants to give his sister half of his 50 cards, the expression would be 50 divided by 2
Answer:
d. expression: 4500 - 2000 = , amount left to go : 2500
e. expression : 20×2= , amount rattlesnake grows in 2 years: 40
Step-by-step explanation:
What is the result of subtracting in the division problem shown below?
Answers
Answer:
The answer is 9x² - 6x - 1
Step-by-step explanation:
∵ (6x³ + x² - 10x - 1) - (6x³ - 8x² - 4x) =
0 + 9x² - 6x - 1 = 9x² - 6x - 1
Answer:
The result is : [tex]9x^{2} -6x-1[/tex]
Step-by-step explanation:
The given terms to be subtracted are ;
[tex]6x^{3}+x^{2} -10x-1[/tex] and
[tex]6x^{3}-8x^{2} -4x[/tex]
So, subtracting each term to be more clear we get:
[tex]6x^{3}-6x^{3}=0[/tex]
[tex]x^{2} -(-8x^{2} )=x^{2} +8x^{2} =9x^{2}[/tex]
[tex]-10x-(-4x)=-10x+4x=-6x[/tex]
[tex]-1+0=-1[/tex]
So, the answer will be :
[tex]9x^{2} -6x-1[/tex]
What is the area of Figure ABCD?
104
120
136
168
Answers
The answer is 120 because 13 times 8 equals 104, and all you have to do is find the base edge length of the triangle which is found by subtracting 13 from the 17 and getting 4 for the triangle base length, multiplying it by the height (8) which you get 32, dividing it by two to get 16, add 104 and there's your answer.
please help
there is a attachment to this i think.
Answers
Answer:
squrt6(84)
Step-by-step explanation:
By the law:
squrtn(a^m) = a^(m/n)
Best regards
all real numbers that greater than -6 but less than 6
Answers
This means that everything in between those numbers is correct
Find the area of a regular hexagon with a radius of 8 and an apothem of 4√3.
Round your answer to the nearest tenth.
Answers
Answer:
The area of the regular hexagon is [tex]166.3\ units^{2}[/tex]
Step-by-step explanation:
we know that
The regular hexagon can be divided into 6 equilateral triangles
so In this problem
The radius is equal to length side of the polygon
The area of the regular hexagon is equal to the area of six equilateral triangle
[tex]A=6[\frac{1}{2}(b)(h)][/tex]
we have
[tex]b=r=8\ units[/tex] ---> the base of each triangle is equal to the radius
[tex]h=4\sqrt{3}\ units[/tex] ---> the height of each triangle is equal to the apothem
substitute
[tex]A=6[\frac{1}{2}(8)(4\sqrt{3})]=96\sqrt{3}\ units^{2}[/tex]
[tex]96\sqrt{3}=166.3\ units^{2}[/tex]
3x+4y=33
2x+y=17 ➡ y=-2x+17
2x+(17-2x)=17
2x+17-2x=17
2x-2x+17=17
17=17
Is it Infinitely many solutions?
Answers
Answer:
YES
Step-by-step explanation:
3x+4y=33
2x+y=17 ➡ y=-2x+17
2x+(17-2x)=17
2x+17-2x=17
2x-2x+17=17
17=17
same number on both sides means Infinitely many solutions
:0)
The graph shows the location of Gary's, Joan's, and Kash's houses on a coordinate plane. Each unit on the graph represents 1 mile.
Answers
Kash to Gary is 8 miles
Gary to Joan is 5 miles
Use the Pythagorean theorem to calculate the distance from Joan to Kash:
x = √8^2 + 5^2
x = √64+25
x = √89
x = 9.4
Total distance = 5 + 8 + 9.4 = 22.4 miles.
Rounded to nearest mile = 22 miles.
Answer:22 miles
Step-by-step explanation:
Got it right on a quiz
A computer can produce a list of random numbers.
A. True B. False
Answers
The given statement "A computer can produce a list of random numbers" is true.
What is computer?"A computer is an electronic device which take input from the user as raw data, process the data into information, and gives output to the user."
What are random numbers?"Random numbers are numbers that occur in a sequence such that two conditions are met:
The values are uniformly distributed over a defined interval or set, and It is impossible to predict future values based on past or present ones.""Random numbers are important in statistical analysis and probability theory."
"Computers can generate truly random numbers by observing some outside data, like mouse movements or fan noise, which is not predictable, and creating data from it."
Hence, the correct option is A.
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What would the budget be if he gets $44,000 annually. These are his expenses per month: $1,200 for rent. $600 for food. $350 for transportation. $150 for utilities. $300 for insurance. $400 for taxes. Im just confused on how to find out what the budget is so I can find the percent.
Answers
Answer:
Step-by-step explanation:
$1200+$600+$350+$150+$300+$400=$3000
=12*$3000=$36000
rent= 1200*100/3000=40%
food=600*100/3000=20%
trans=350*100/3000=11.7%
utilities=150*100/3000=5%
insurance=300*100/3000=10
taxes=400*100/3000=13.3%
Please Answer Again Lol I got One More After This And I'll Stop Asking And I'll Try Brainlist But If I can't Then I'll Still Say Thanks 10 Points
Answers
The request lacks the necessary details to determine the subject or educational grade level, and therefore an academic answer can't be provided.
Explanation:Unfortunately, the query you've provided does not contain enough context or specific content for me to determine neither the subject nor the educational grade level it pertains to. It appears to be a general request for assistance rather than a question related to an academic topic. For future inquiries, please ensure you include the question itself and any pertinent details that would enable me to provide a comprehensive, educational, and helpful response that directly addresses your academic needs.
Evaluate −9 − (−4).
5
−5
13
−13
Answers
Answer:
[tex]-5[/tex]
Step-by-step explanation:
We want to evaluate -9-(-4).
This is the same as [tex]-9+4[/tex].
We can again rewrite this as [tex]4-9[/tex]
Since we are subtracting a larger number from a smaller number, the result will be negative.
Therefore our expression evaluates to [tex]-5[/tex]
The second option is correct.
Please answer and work it out and round to the nearest tenth. Thank you!
Answers
The length of UV is 6 in because it is parallel to WX.
Find the length of TV:
[tex]TV^{2} =\sqrt{TU^{2} +TV^{2}}[/tex]
[tex]TV^{2} =\sqrt{12^{2} +6^{2}}[/tex]
[tex]TV^{2} =\sqrt{144+36}[/tex]
[tex]TV^{2} =\sqrt{180}[/tex]
[tex]TV =6\sqrt{5} = 13.41640786[/tex]
The length of VX is 9 in because it is parallel to UW.
[tex]TX^{2} =\sqrt{TV^{2} +VX^{2}}[/tex]
[tex]TX^{2} =\sqrt{180 +9^{2}}[/tex]
[tex]TX^{2} =\sqrt{180 +81}[/tex]
[tex]TX^{2} =\sqrt{261}[/tex]
[tex]TX =16.15549442[/tex]
TX = 16.2 inchesThe value of TX is 15 in
Step-by-step explanation:According to Pythagoren theorem
Hyp² = Base² + Perp²
Putting the values
Hyp² = 12² + 9²
Hyp² = 144 + 81
Hyp² = 225
taking square root on both sides
Hyp = 15
Suze wants to make 5 pies for a party. She needs 1 1/2 cup of confectioners sugar for each pie. She has two bags of confectioners sugars in her pantry. One bad has 3 1/4 cups remaining and the other bag has 6 1/8 cups remaining. How many cups of confectioners sugar Suze have left after she prepares her pies?
Answers
Answer:
1 7/8 cups leftover
Step-by-step explanation:
The total amt. of sugar Suze needs is 5(1 1/2 cups) = 15/2 cups, or 7.5 cups.
Combining the 3 1/4 and 6 1/8 cups of sugar remaining in the bag results in 3 2/8 + 6 1/8 cups, or 9 3/8 cups total. She needs only 7.5 cups of this sugar.
Thus, she has leftover the following amount: 9 3/8 - 7 4/8 cups, which
simplifies to 1 7/8 cups
Total C.Sugar
3 1/4+6 1/8
=13/4 + 49/8
=26/8 + 49/8
=75/8 cups
Used C.Sugar
1 1/2 × 5
= 3/2 × 5
= 15/2 cups
Remaining C.Sugar
75/8 - 15/2
=75/8 - 60/8
=15/8
=1 7/8 cups
Answer
1 7/8 cups remaining
I NEED HELP AHHH-HHHHHHHHH HELP ME ASAP
Answers
Answer:
1/5, 1/3, 4/6
Step-by-step explanation:
First, find all the common denominators for these numbers. In this case, it's 30.
1/5 = 10/30
4/6 = 20/30
1/5 = 6/30
Now, you can see which ones are greatest and least.
1. 1/5 (least)
2. 1/3 (middle)
3. 4/6 (greatest)
What is the total surface area of the rectangular pyramid below?
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
The total surface area of rectangular pyramid will be the area of all four faces and area of base.
The faces are triangular, so area will be = [tex]\frac{1}{2}*base*height[/tex]
Area of face = [tex]\frac{1}{2}*16*14=112[/tex]
Another face area = [tex]\frac{1}{2}*12*15=90[/tex]
Each face has its similar another face. So total area of faces will be = [tex]112+112+90+90=404[/tex]
Area of base = [tex]12*16=192[/tex]
So total surface area = [tex]404+192=596[/tex] square feet
Hence the total surface area is 596 square feet. : Answer
Hope it will help :)
Answer:596 square feet
Step-by-step explanation:
Use the calculator to find the product. (1.466 × 10–8)(5.02 × 105) What is the coefficient of the product? What is the exponent of the power in the product?
Answers
Answer:
Step-by-step explanation:
The calculator says that the answer is 7.36 * 10^-3.
This has been rounded to the proper number of significant digits. 5.02 has only 3 sig digs.
Coefficient: 7.36
Exponent: - 3
Note your calculator might give you 0.00736 but that is really 7.36 * 10^-3
Answer:
7.56932 * 10^-3
The coefficient is 7.35932
The exponent is -3
Step-by-step explanation:
When we multiply numbers in scientific notation, we take the numbers out front and multiply
1.466*5.02 =7.56932
Then we add the exponents on the powers of 10
10^(-8+5) = 10^(-3)
The result is 7.56932 * 10^-3
Using a calculator, we get 0.00735932, which is not in scientific notation. Your question indicates that you want the result in scientific notation
.00735932 changed to scientific notation
Move the decimal until a nonzero digit is to the left of the decimal
7.35932
We moved it 3 places to the left, that means our exponent is -3
7.35932*10^-3