Given:
The endpoints are
6) (-7, -10), (-2, -3)
7) (-4,-3), (8, 2)
Required:
We need to find the midpoint of the given endpoints.
Explanation:
Consider the midpoint formula.
\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)6)
Consider the points (-7, -10), and (-2, -3).
\(Substitutte\text{ }x_1=-7,x_2=-2,y_1=-10,\text{ and }y_2=-3\text{ in the formula.}\)\(M=(\frac{-7+(-2)}{2},\frac{-10+(-3)}{2})\)\(M=(\frac{-7-2}{2},\frac{-10-3}{2})\)\(M=(\frac{-9}{2},\frac{-13}{2})\)\(M=(-4.5,-6.5)\)7)
Consider the points (-4,-3), and (8, 2).
\(Substitutte\text{ }x_1=-4,x_2=8,y_1=-3,\text{ and }y_2=2\text{ in the formula.}\)\(M=(\frac{-4+8}{2},\frac{-3+2}{2})\)\(M=(\frac{-4+8}{2},\frac{-3+2}{2})\)
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.
URGENT!! 50 POINTS FOR CORRECT ANSWER WITH EXPLANATION!!!
Segment has endpoints M(−2, 3) and N(−4, −2). What is the slope of the line parallel to the segment MN, and what is the slope of the line perpendicular to the segment MN?
Answer:
the answer is -5/2
hope it helps you mate..
please mark me as brainliast
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
NO LINKS!!! URGENT HELP PLEASE!!!
Solve ΔABC using the Law of Sines
1. A = 29°, C = 63°, c = 24
2. A = 72°, B= 35°, c = 21
Answer:
1) B = 88°, a = 13.1, b = 26.9
2) C = 73°, a = 20.9, b = 12.6
Step-by-step explanation:
To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Question 1Given values:
A = 29°C = 63°c = 24As the interior angles of a triangle sum to 180°:
\(\implies A+B+C=180^{\circ}\)
\(\implies B=180^{\circ}-A-C\)
\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)
\(\implies B=88^{\circ}\)
Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:
\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)
\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
Solve for a:
\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)
\(\implies a=13.0876493...\)
\(\implies a=13.1\)
Solve for b:
\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)
\(\implies b=26.9194211...\)
\(\implies b=26.9\)
\(\hrulefill\)
Question 2Given values:
A = 72°B = 35°c = 21As the interior angles of a triangle sum to 180°:
\(\implies A+B+C=180^{\circ}\)
\(\implies C=180^{\circ}-A-B\)
\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)
\(\implies C=73^{\circ}\)
Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:
\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)
\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
Solve for a:
\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)
\(\implies a=20.8847511...\)
\(\implies a=20.9\)
Solve for b:
\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)
\(\implies b=12.5954671...\)
\(\implies b=12.6\)
A circle of radius 16 units is divided into 8 congruent slices.
What is the arc length of each slice?
4π units
3π units
2π units
π units
Answer:
4π
Step-by-step explanation:
Circumference = π X D (D = diameter = 2 X radius).
Diameter = 32.
Circumference = π (32) = 32π.
Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.
what is the answer to 4x + 6 = 18
Answer:
x 3is the correct answer
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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A composite figure is represented in the image.
A six-sided composite figure. A vertical line on the left is labeled 10 meters. The base is labeled 18 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 5 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 2 meters labeled. What is the total area of the figure? 216 m2 193 m2 276 m2 258 m2
URENT PLS HELP ME
For the given composite figure the total area of the figure is 198 m².
What is area of rectangle?
To find the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:
Area = Length x Width
To find the area of the six-sided composite figure, lets divide it into two smaller shapes: a rectangle and a triangle.
The rectangle has a length of 10 meters and a width of 18 meters, so its area is:
10 meters × 18 meters = 180 square meters
The triangle has a base of 18 meters and a height of 2 meters, so its area is:
(1/2) × 18 meters × 2 meters = 18 square meters
The total area of the six-sided composite figure is the sum of the areas of the rectangle and the triangle:
180 square meters + 18 square meters = 198 square meters
Therefore, the total area of the figure is 198 m².
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Answer:
193
Step-by-step explanation:
I did test
A rectangular prism has a length of 12 feet, a width of 6 feet, and a height of 2 feet.
What is the volume of the prism?
Enter your answer.
Discount
Walmart offers a shirt initially at $100. Then one week later, Walmart offers the shirt at 15% off. The
shirt still doesn't sell, so after another week, Walmart reduces its new price by 20%. How much does the
shirt cost now?
Choose one. 5 points
$68.00
$65.00
$69.00
$60.00
Answer:
$65.00
Step-by-step explanation:
Cost price of shirt after giving discounts is equals to \(\$68\).
What is Cost price?" Cost price is defined as the price to be paid at the time of purchase any product."
According to the question,
Initial cost price of shirt \(= \$100\)
First discount \(= 15\%\)
Discount amount \(= 15\%\) of \(100\)
\(= \frac{15}{100} \times 100\\\\= \$15\)
Cost price after first discount \(= 100 - 15\)
\(= \$85\)
Second discount \(= 20\%\)
Discount amount \(= 20\%\) of \(85\)
\(= \frac{20}{100} \times 85\\\\= \$17\)
Cost price after first discount \(= 85 - 17\)
\(= \$68\)
Hence, cost price of shirt after giving discounts is equals to \(\$68\).
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Find the number whose 3 % is 12
Answer:
400
Step-by-step explanation:
3% of 400 is 12
Question 2
Question Help: Read
Calculator
K
Perimeter and Area
Determine the perimeter and area of a rectangle with lengh 21 feet and width 26.1 feet.
Round your answers to the nearest hundredth as needed.
Perimeter =
Select an answer
Submit Question
>
Area =
Select an answer
The rectangle will have a 548.1 square foot size and a 94.2-foot periphery.
What are the rectangle's area and perimeter?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
The length is 21 feet and the width is 26.1 feet.
The perimeter of the rectangle will be
P = 2 (21 + 26.1)
P = 2 x 47.1
P = 94.2 feet
The area of the rectangle will be
A = 21 x 26.1
A = 548.1 square feet
The rectangle will have a 548.1 square foot size and a 94.2-foot periphery.
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stick of butter weight a quarter of a pound how much do 13 sticks of butter weight
What means the same as 6 x 5?
What means the same as 3 + 3 + 3 + 3?
65
35
5 + 5 + 5 + 5 + 5
3 X 3
6 + 6 + 6 + 6 + 6
3 X 4
COMPLETE
COMPLETE
What means the same as 657
What means the same as 2.2.2.2. 2?
5.5.5.5.5
25
6.6.6.6.6
2 x 5
6 + 6 + 6 + 6 + 6
52
COMPLETE
COMPLETE
Answer:
6x5 can also be 6+6+6+6+6
3+3+3+3 can also be 3x4
5+5+5+5+5 can also be 25
3x3 can be 3+3+3
Step-by-step explanation:
Answer:
Here were your Answers
Step-by-step explanation:
Good Job you got it right you must be new to this app because your suppose to ask a question then someone will come and see your question and answer it for you maybe look around at other people's question's and how to use this app. Have a Nice day :) happy face This is for
omar2566 and for everyone!
Mrs. Rockwell lost money on an investment at a rate of $4 per day. What is the change in her investment, due to the lost money, after 4 weeks?
Answer:
112.
Step-by-step explanation:
In four weeks there are 28 days. 4 times 28 is 112.
Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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The speed of the wind is changing according to the function V (t) = -t/2 + 30, where t = time in minutes after 6:00 p.m. and V(t) = wind speed in miles per hour
(mph). Which statement best describes the meaning of the equation V(20) – V(10) = -5?
A) In a period of 5 minutes, the wind speed increased from 10 mph to 20 mph.
B) The wind speed decreased by 5 mph between 6:10 p.m. and 6:20 p.m.
C) The wind speed increased by 5 mph between 6:10 p.m. and 6.20 p.m.
D) In a period of 5 minutes, the wind speed decreased from 20 mph to 10 mph.
Answer:
C
Step-by-step explanation:
Answer:
The wind speed increased by 5 mph between 6:10 p.m. and 6.20 p.m.
Step-by-step explanation:
I hope this helped!
Xavier’s car used 1 1/3 gallons to travel 59 miles. How many miles can the car go on one gallon of gas
The car can go 44.25 miles on one gallon of gas
How to calculate the number of miles the car can travel on one gallon?Xavier's car used 1 1/3 gallons to travel for 59 miles
The number of miles travelled on one gallon of gas can be calculated as follows
1 1/3 gallons= 59 miles
1 gallon= x
Cross multiply both sides
4/3x= 59
4x= 177
x= 177/4
x= 44.25
Hence Xavier's car can travel 44.25 miles on one gallon of gas
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PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
what is the following sum in simplest form? /8+3/2+/32
Answer:
C
Step-by-step explanation:
What steps should be taken to complete the conversion?
Answer:
I dont know
Step-by-step explanation:
still dont know
can someone help me i will give brainlest
Answer:
(48, 3), (80, 5), (160, 10)
fraction math kids picked 124 strawberries gave 1/4 of strawberries to their neighbor and their mother used f 2/4 of the strawberries in a pie rest was saved for snack how many does the family have to snack on
Answer:
The family has 1/4 of the strawberries left to snack on, or 31 left to snack on.
Step-by-step explanation:
Since they gave away 1/4 of the strawberries to their neighbor, and the others were used in a pie, that means that 1/4 of the strawberries remain. You do 124/4 in which 1/4 of that is 31, since 31x4 is equal to 124.
which is better to buy 5 pack for 9.98 or 7 pack for 14.14
A person wants to buy 5 pack of something for $9.98 or 7 packs of something for $ 14.14
The problem is asking is what is the better buy (the one that costs less)
So we compare the cost per unit:
with the 5 pack we get $9.98 / 5 = $ 1.996 per unit which we round to $2.00
with the 7 pack we get $14.14 / 7 = $2.02 per unit
So, the better option is the first one (the 5 pack per $9.98) which saves us 2 cents per units.
Solve for x.
10x−3x+5=26
Answer:
x = 3
Step-by-step explanation:
10x−3x+5=26 (Given)
7x + 5 = 26 (Combine like terms)
7x = 21 (subtraction Property of equaity)
x = 3 (division Property of equaity)
Does anyone know what 5796 divided by 25 is?
Step-by-step explanation:
if we 5796 it will give us decimal number
this is the answer I have 231.84
PLEASE HELP ME PLEASEE
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: A= 1 b= -8 c= -20
Explanation:
I hope this helped!
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Answer:
a = 1
b = -8
c = -20
Step-by-step explanation:
A company makes two calculator models, one designed specifically for financial use and the other designed for scientific use. The financial model contains 10 microcircuits, and the scientific model contains 20. A contract with a supplier of semiconductor chips requires the use of at least 3200 chips each day. A contract with a supplier of the off-on switches used in both calculators requires the use of at least 300 switches each day. The company would like to produce at least 100 financial models each day. If each financial calculator requires 10 production steps and each scientific calculator requires 12 production steps, how many calculators of each type should be produced to minimize the number of production steps
Answer:
280 financial20 scientificStep-by-step explanation:
The linear programming problem can be formulated as ...
minimize 10f +12s subject to ...
10f +20s ≥ 3200 . . . . number of chips used
f + s ≥ 300 . . . . . . . . . .number of switches used
f ≥ 100 . . . . . . . . . . . . .minimum number of financial calculators
Graphing these inequalities, we find the feasible region to be bounded by the points (f, s) = (100, 200), (280, 20), (320, 0). The one of these that minimizes the number of production steps is ...
f = 280, s = 20
280 financial and 20 scientific calculators should be produced to minimize the number of production steps.
6. A parabola has focus (-1, 6) and directrix y = 4. Determine whether each point on
the list is on this parabola. Explain your reasoning.
a. (-1,5)
b. (1,7)
c. (3,9)
Answer:a
Step-by-step explanation:
Suppose c(p) gives the number of calories burned doing p push-ups, and
p(t) gives the number of push-ups a person can do in t seconds.what is the meaning of the composite function c(p(45)).
The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
How to interpret the meaning of the composite function c(p(45))?The functions are given as:
c(p) gives the number of calories burned doing p push-upsp(t) gives the number of push-ups a person can do in t secondsSo, the interpretation of the function c(p(t)) is
The number of calories burned doing push-ups in t seconds
In c(p(45)), the value of t is 45
Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
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