Answers
[tex] a^{2} = b^{2} + c^{2} - 2bccosA[/tex]
The A there is the angle opposite of side a.
In the case of the formula given to you for triangle RST instead of A, S was used and that means the letter in the left side of the equation would be s, so S = 5.
If you look at the base formula given to you, 5 is S. With that alone you can eliminate the first three choices because none of them shows that S = 5.
Related Questions
Use the Distributive Property to find (g−7)(g−2).
Answers
gxg=g^2
gx2=2g
7xg=7g
7x2=14
g^2-2g-7g+14 then simplify g^2-9g+14 is the answer
Final answer:
The product of (g-7)(g-2) is found by applying the Distributive Property, which results in g² - 9g + 14.
Explanation:
To use the Distributive Property to find the product (g−7)(g−2), we need to multiply each term in the first parenthesis by each term in the second parenthesis. This gives us:
g × g = g²
g × (−2) = − 2g
(−7) × g = − 7g
(−7) × (−2) = 14
Combining these we get g² - 2g - 7g + 14. Simplifying by combining like terms, we obtain:
g² - 9g + 14
Therefore, the product (g−7)(g−2) using the Distributive Property is g² - 9g + 14.
If a translation maps point (3, 2) to (4, 5); or T: (3, 2) (4, 5), then what is the image of the point (0, 0)?
Answers
On this problem is given that the point T was translate from the coordinate (3,2) to the coordinate (4,5). Meaning that the image is a translation of one unit to the right and three units up with relation to the preimage.
Point (0,0) would be translated one unit to the right and three units up.
Giving the new point or preimage, the coordinates of (1,3)
Answer:
(1,3)
Step-by-step explanation:
Jeanne thinks that x+x is the same as x•x. Is this true? Why? Why not?
Answers
and x+x means "x plus x" or "x added to x"
let's try by subsituting numbers for them
if we can find one case where the statement "x+x is the same as x•x" is false, then it is not true
let's try x=4
x+x=x•x
4+4=4•4
8=16
false
so it is not true
(x+x is equal to 2x, so therefor if we were to solve 2x=x•x, we would get that it is only true for x=2 and x=0)
it is not always true
It depends on the number. Generally, it is false, expect in a few certain cases, such as 2 for example, as:
2 + 2 = 4
2 x 2 = 4
however, most other numbers do not work, such as, for example, 5
5 + 5 = 10
5 x 5 = 25
So it really depends on what "x" is.
hope this helps
Best Buy sold 638 iPads during the month of May for a total, including tax, of $296,963.48; what was the average cost to the consumer?
Answers
Which question is statistical?
A.How many of each species of butterflies did you see on your camping trip?
B.How many different species of butterflies are there in the world?
C.How many Monarch butterflies migrated south this year?
D.How many Monarch butterflies live in the state park?
Answers
p.s. spread le cheese ⌂
Answer:
A
Step-by-step explanation:
PLEASE HELP!! WILL GIVE BRAINLIEST!!
Question 3: The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles
Part A: What is the area, in square feet, of the shaded region?
Part B: What is the area, in square feet, of the nonshaded region?
Answers
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2
You are given a square ABCD, and midpoints M and N are marked on BC and CD, respectively. Draw AM and BN, which meet at Q. Find the size of angle AQB.
Answers
- AB=BC (sides of square)
- BM=CN (half sides of square)
- angle B = angle C (adjacent sides of square are perpendicular)
=> triangles ABM and BCN are congruent (SAS)
Step: find angle AQB
- angle AQB = QMB+MBQ (exterior angles of a triangle)
= BNC+MBN (corresponding angles of congruent triangles)
= 90 degrees (exterior angle of triangle BNC)
A square ABCD and midpoints M and N are marked on CB and CD, respectively. Draw AM and BN, which meet at Q. the size of angle AQB 90 degrees.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
square ABCD and midpoints M and N are marked on CB and CD, respectively. Draw AM and BN, which meet at Q.
To show triangles ABM and BNC are congruent
AB = BC
BM = NC
angle B = angle C
Thus, triangles ABM and BNC are congruent by (SAS).
To find ∠AQB
∠AQB =∠ QMB + ∠MBQ (exterior angles of a triangle)
= ∠BNC + ∠MBN (corresponding angles of congruent triangles)
= 90 degrees (exterior angle of triangle BNC)
Learn more about congruent triangles here:
https://brainly.com/question/16921692
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How can you tell if a binomial divides evenly into a polynomial?
Answers
Answer:
The remainder is 0
Step-by-step explanation:
A number divides evenly with another number if and only if the remainder is 0. This applies to all numbers and equations including binomials and polynomials. Anytime there is a remainder in a division it means that the denominator does not fit evenly anymore into the numerator.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Your promotional budget for this year is $200 for personal selling, $400 for sales promotion, $1000 for advertising, and $700 for image promotion. What is your total promotion budget for this year?
Answers
[tex]1000 + 700 + 400 + 200 = 2300[/tex]
Budget for personal selling =$200
Budget for sales promotion = $400
Budget for advertising =$1000
Budget for image promotion =$700
Total Budget =Adding all the values = 200 +400+1000 +700 = 2300
So total promotion budget for this year is $2300
What is the factorization of the trinomial below? x^2 -7x + 6 answers?
Answers
Answer:
(x-6)(x-1)
Step-by-step explanation:
this is the correct answer on ape x
Answer:
(x-6)(x-1)
Step-by-step explanation:
Please help me with question 15 ASAP
Answers
In terms of coordinate geometry, we're adding 6 to each x coordinate. The y coordinate stays the same.
Harry says that 1/4+1/8=2/8. jane says 1/4+1/8=3/8.whose answer make sense and whose amswer is nonsense? exolain your resoning. draw a model to help.
Answers
Work:
1/4 = 2/8
So 1/8 + 2/8 = 3/8
Henry is incorrect.
7 4/5 no nearest whole number
Answers
Your answer is: 8
Have an amazing day mate!
Fast please help !!!!!!!!!!!! Which number is prime? out of
A. 27
B. 29
C. 32
D. 33
Answers
27 = 3*9
32 = 2*16
33 = 3*11
29 has no factors but itself and 1. 29 is prime.
The data set below shows the number of cars parked in the restaurant parking lot during the lunch hour each day for two weeks: 8 7 14 10 13 27 11 10 14 7 12 9 14 9 Which of the following statements is true based on the data set?
Answers
7, 7, 8, 9, 9, 10, 10, 11, 12, 13, 14, 14, 27
Now you can see the outlier(s) which would be 27.
Now that you know your one outlier that eliminates two of the answers so your options are either A or C.
Since the outlier is a bigger number, the answer is:
C. There is one outlier that indicates an unusually large number of cars were in the parking lot that day.
[tex]Good Luck! [/tex]
[tex]Hope This Helps :)[/tex]
C. There is one outlier that indicates an unusually large number of cars were in the parking lot that day.
~ SourCreamAndOnion
Sally has a photograph that has an area of 35 square inches. She creates 2 enlargements of the photograph. The enlargements have areas of 140 square inches and 560 square inches. In each photograph, the length is 1 2/5 times the width. Select which of thr following could be th dimensions of the original photograph or one of the enlargements. Mark all that apply
5 inches by 7 inches
20 inches by 28 inches
7 inches by 20 inches
21 inches by 15 inches
10 inches by 14 inches
Answers
A = (w) * (l)
Where,
w: width
l: long
Substituting:
35 = (w) * (1.4w)
35 = 1.4 * w ^ 2
w = root (35 / 1.4)
Dimensions of the original photograph:
w = 5 in
l = 1.4 * (5) = 7 in
Dimensions of extension 1:
k = (140) / (35) = 4
w = 4 * 5 = 20 in
l = 4 * 7 = 28 in
Dimensions of extension 2:
k = (560) / (35) = 16
w = 16 * 5 = 80 in
l = 16 * 7 = 112 in
Answer:
5 inches by 7 inches
20 inches by 28 inches
The potential dimensions that could represent the original photograph and its enlargements, with the length being 1 2/5 times the width, are 5 by 7 inches for the original photograph, and 20 by 28 inches and 10 by 14 inches for the enlargements.
To find the dimensions of Sally's original photograph and the enlargements with the area having the given ratio of length to width as 1 2/5, we need to understand the relationship between the area of two similar objects and their linear dimensions. We are given that the original photograph has an area of 35 square inches, and the enlargements have areas of 140 and 560 square inches. With the length being 1 2/5 times the width in each case, we can work out the possible dimensions for these photographs.
Now, let's consider the list of dimensions provided and determine which ones correspond to an area ratio that matches the original photograph or the enlargements:
5 inches by 7 inches: This has an area of 5 x 7 = 35 square inches, so it could be the original photograph.20 inches by 28 inches: This has an area of 20 x 28 = 560 square inches, which is one of the enlargements.7 inches by 20 inches: The ratio of length to width here is not 1 2/5, so this option is not correct.21 inches by 15 inches: This does not have an area that matches either the original photograph or the enlargements and the ratio of length to width is also not 1 2/5.10 inches by 14 inches: This gives an area of 10 x 14 = 140 square inches, which matches the first enlargement.Conclusively, only some of the dimensions given match the requirements: 5 inches by 7 inches for the original photograph, 20 inches by 28 inches and 10 inches by 14 inches for the enlargements. They adhere to the concept that the ratio of their areas equals the ratio of the squares of their linear dimensions due to scaling.
Find the intersection of the two planes with equations 5(x − 1) + 2y + (z + 1) = 0 and (x − 1) + 7y − (z + 1) = 0. (use the parameter t. enter your answers as a comma-separated list of equations.)
Answers
P1: 5(x-1)+2y+1(z+1)=0
P2: 1(x-1)+7y-1(z+1)=0
Need the intersection of the planes P1 and P2 (a line)
By inspection of the equations,
normal to P1: N1<5,2,1>
normal to P2: N2<1,7,-1>
Direction vector, V, of the required line is the cross product of P1 & P2:
i j k
5 2 1
1 7 -1
=V<-9, 6, 33>
Since P1 passes through point (1,0,-1), the parametric equation of the required line is <1-9t, 0+6t, -1+33t>
L:
The intersection of two planes can be found by solving the system of equations formed by the equations of the planes. In this case, the intersection is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.
Explanation:The intersection of two planes can be found by solving the system of equations formed by the equations of the planes.
To find the intersection, we can set the two equations equal to each other and solve for x, y, and z.
Rewrite the equations in standard form: 5x - 5 + 2y + z + 1 = 0 and x - 1 + 7y - z - 1 = 0Add the equations together: 6x + 9y = 4Solve for x in terms of y: x = (4 - 9y) / 6Substitute the value of x into one of the original equations to solve for z: 5((4 - 9y) / 6 - 1) + 2y + (z + 1) = 0Simplify and solve for z: z = -3 - (23y/6)Therefore, the intersection of the two planes is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.
In a quadrilateral, consecutive angles and opposite angles are congruent. What is the most specific name of the figure?
trapezoid
parallelogram
rectangle
rhombus
Answers
Answer:
Rectangle
Step-by-step explanation:
I got it wrong so i know this is the correct one
Find the supplement of an angle of 126 degrees
Answers
A 9-pound bag of lollipops costs $12.04. What is the unit price, rounded to the nearest cent?
Answers
Naomi's fish is 40 millimeters long.her guinea pig is 25 centimeters long. How much longer is her guinea pig than her fish
Answers
Answer:
The guinea pig is 210 mm longer than Naomi's fish
or
The guinea pig is 21 cm longer than Naomi's fish
Step-by-step explanation:
Remember that
1 cm=10 mm
Convert cm to mm
guinea pig ------> 25 cm=25*10=250 mm
Subtract the length of Naomi's fish from the length of her guinea pig
so
250-40=210 mm
Convert to cm
210 mm=210/10=21 cm
What is the volume of a rectangular prism with length 7 cm, height 6 cm, and width 13 cm? V = l x w x h
Answers
The formula for volume of a rectangular prism is:
V = l × w × h
Sinxe we have all the dimensions of the rectangular prism, all we need to do is multiply them together to find the volume.
V = 7 × 13 × 6
V = 546
ANSWER:
The volume of the rectangular prism is 546 cenimetres cubed.
*Volume is always cubed so put a little 3 above cm!
Mr. Fry is building a fence around his pool. •Length of the fence is 60 feet. •Width of the fence is 30 feet. How many yards of fence will Mr. Fry build? A) 30 yards B) 60 yards C) 90 yards D) 540 yards i need help!!!!!!!!!
Answers
Mr. Fry will need 60 yards of fencing to encircle his pool, as the perimeter of the rectangular pool area is 180 feet and there are 3 feet in a yard.
To determine the total amount of fencing Mr. Fry will need, we calculate the perimeter of the rectangular area around the pool. The perimeter can be found by doubling the length then adding this to double the width. Therefore:
Perimeter = 2× Length + 2× Wid
= 2 × 60 feet + 2 × 30 feet
= 120 feet + 60 feet
= 180 feet
Now, knowing that 1 yard equals 3 feet, we can convert feet into yards:
Yards = Feet ÷ 3
= 180 feet ÷ 3
= 60 yards
Hence, Mr. Fry will need 60 yards of fence for his pool.
To determine the number of yards of fence Mr. Fry will build, we calculate the perimeter of the rectangular area (2 x (60 + 30) feet = 180 feet) and then convert it to yards (180 feet / 3 = 60 yards).
Mr. Fry is building a fence around his pool and wants to know how many yards of fence he will need. The fence has a length of 60 feet and a width of 30 feet. To find the total length of the fence in yards, we first calculate the perimeter of the rectangular fence which is 2 x (length + width). So, the perimeter in feet is 2 x (60 + 30) = 180 feet. Since 1 yard is equal to 3 feet, we divide the total number of feet by 3 to get the measurement in yards: 180 feet / 3 = 60 yards. Therefore, Mr. Fry will build 60 yards of fence.
A large tank is filled to capacity with 400 gallons of pure water. brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t. a(t) = lb
Answers
Final answer:
The student's question involves setting up and solving a differential equation for the amount of salt in a tank where brine is added and mixed solution is removed at constant rates.
Explanation:
The problem is related to a differential equation modeling the amount of salt in a tank of water where the concentration changes over time. We are given a tank with an initial volume of 400 gallons of pure water. Brine with 3 pounds of salt per gallon is added at a rate of 4 gallons per minute, and the well-mixed solution leaves the tank at the same rate.
To find the number of pounds of salt a(t) in the tank at any time t, we can set up a differential equation based on the rates of salt entering and leaving the tank:
[tex]\(\frac{dA}{dt} = rate_{in} - rate_{out}\)[/tex]
Where A represents the amount of salt in the tank, \(rate_{in}\) is the rate at which salt enters the tank, and \(rate_{out}\) is the rate at which salt leaves the tank.
[tex]\(rate_{in} = 3 pounds/gallon \times 4 gallons/minute = 12 pounds/minute\)[/tex]
[tex]\(rate_{out} = \frac{A(t)}{400} \times 4 gallons/minute = \frac{A(t)}{100} pounds/minute\),[/tex] since the concentration of salt leaving is[tex]\(\frac{A(t)}{400}\) pounds/gallon.[/tex]
The differential equation becomes:
[tex]\(\frac{dA}{dt} = 12 - \frac{A}{100}\)[/tex]
This equation can be solved using the separation of variables or an integrating factor method, depending on the student's level of mathematical knowledge.
From a sample with nequals=1616, the mean number of televisions per household is 22 with a standard deviation of 11 television. using chebychev's theorem, determine at least how many of the households have between 00 and 44 televisions.
Answers
For a wide class of distributions, no more than [tex]\frac{1}{k^2}[/tex] of the values can be outside of k standard deviations of the mean.
Here,
n = 16
μ = 2
σ = 1
range iin question = 0 to 4 [tex]=2\pm2=\mu\pm\sigma[/tex]
=> k=2
[tex]\frac{1}{k^2}=\frac{1}{4}[/tex]
meaning that at most 1/4 of the sample is outside the given range, or 3/4 of the sample= (3/4)*16 =12 is within the given range of 0 to 4 televisions.
Answer: at least 12 out of 16 households have between 0 to 4 televisions, according to the Chebyshev's inequality.
What is the area of the composite figure whose vertices have the following coordinates? (2, −2 )(2, 1) ,(4, 2) , (6, 2) ,(4, −1)
Answers
using a graph tool
the answer is 36 units²-----------> see the attached figure with the answer
Which statements are true regarding quadrilateral ABCD? Check all that apply.
ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD is not a rectangle.
ABCD is not a parallelogram.
ABCD has four congruent angles.
Answers
The statements that are true regarding quadrilateral ABCD include:
ABCD has congruent diagonals.ABCD is a rhombus.ABCD has four congruent anglesBased on the information given, ABCD has congruent diagonals and can be treated as a rhombus. This is because it's a regular quadrilateral.
It should be noted that ABCD can be treated as a rectangle and a parallelogram as well.
In conclusion, the correct options are 1, 2, and 5.
Read related link on:
https://brainly.com/question/8807196
tevin is 202 years old Catherine is 30 years old how many years until Tevin age is 5 * Katherine's age
Answers
tevin+x = 5 times (catherine+x)
202+x=5(30+x)
distribute
202+x=150+5x
minus x both sides
202=150+4x
minus 150 both sides
52=4x
divide both sides by 5
13=x
in 13 years
To find out how many years until Tevin's age is 5 times Katherine's age, we set up an equation and solve for x, finding that it will take 13 years.
The question is asking us to find out how many years until Tevin's age is 5 times Katherine's age. Let's denote the number of years until this happens as 'x'.
Currently, Tevin is 202 and Katherine is 30.
In x years, Tevin will be 202 + x years old and Catherine will be 30 + x.
Therefore, we want to find x such that:
202 + x = 5(30 + x)
This can be solved as follows:
202 + x = 150 + 5x
Now, we subtract 5x from both sides:
202 - 4x = 150
Subtract 202 from both sides:
-4x = -52
Divide by -4:
x = 13
Therefore, it will take 13 years for Tevin's age to be 5 times Katherine's age.
lola uses 44 beads to make a bracelet and 96 beads to make a necklace.Write an expression to show how to calculate the total number of beads lola used to make 13 bracelets and 8 necklace
Answers
What is the mean of 25, 15, 18, 20, 87, 13, 18, 8, 22, 14
Answers
204 / 8 = 25.5
Hope this helps!