Answer:
[tex]\frac{21}{2} * \frac{2}{21} = 1[/tex]10 1/2 as an improper fraction is [tex]\frac{21}{2}[/tex]
the reciprocal of 10 1/2 is [tex]\frac{2}{21}[/tex]
so [tex]\frac{21}{2} * \frac{2}{21} = 1[/tex]
below is an image of the rest of the answers
4. Your test scores for the semester are 87, 84, and 85. Can you raise your test average to 90with your next test?DefineEquation:Answer:can i have help on 4, 5 and 6?
5.
The sum of three consecutive integers is 228. You can write this situation, in an algebraic way, as follow:
x + (x + 1) + (x + 2) = 228
where the lower number is x, and the largest number is (x + 2).
You solve the previous equation for x:
x + (x + 1) + (x + 2) = 228 eliminate prenthesis
x + x + 1 + x + 2 = 228 sum similar terms
3x + 3 = 228 rest 3 both sides
3x = 228 - 3
3x = 225 divide by 3
x = 225/3
x = 75
Then, the lower number is 75, and the largest one is (75+2) = 77
SOS PLEASE HELP QUICKLY WILL MARK BRAINLYIST
Submit a picture of your work to the assignment page:
its a two column proof
Prove: If two parallel lines are cut by a transversal then the alternate exterior angles are congruent. Do not use the alternate exterior angles theorem. Use a diagram and the corresponding angles theorem.
Proved that if two parallel lines are cut by a transversal then the alternate exterior angles are congruent.
What is the Exterior Angle of a Triangle Property?An exterior angle of a triangle is equal to the sum of the opposite interior angles.
By the property of alternate interior angles;
From the figure attached;
∠XWY ≅ ∠ZYW
The Property of the alternate angles states that if two parallel lines are cut by a transversal, then the alternate angles are congruent.
Here, ∠XWY and ∠ZYW shows the interior angles between the parallel lines and the transversal.
The interior alternate angles ∠XWY and ∠ZYW will be congruent.
Hence, Proved that if two parallel lines are cut by a transversal then the alternate exterior angles are congruent.
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ships a and b leave port together. for the next two hours, ship a travels at 20 mph in a direction 30o west of north while the ship b travels 20o east of north at 25 mph. a) what is the distance between the two ships two hours after they depart? b) what is the speed of ship a as seen by ship b?
Two hours after depart, the distance between two ships is 39.2 miles and the relative speed of ship A seen by ship B is 19.6 mph heading to 18.4⁰ South of East.
The situation can be depicted on the attached picture.
Let North - South be the y-axis and East - West ne the x-axis.
The velocities vector can be represented as:
Ship A, 20 mph 30⁰ west of north:
vA = - 20 . cos( 60⁰) i + 20 . sin( 60⁰) j
vA = -10 i + 10√3 j
Ship B, 25 mph 20⁰ east of north:
vB = 25 . cos( 70⁰) i + 25 . sin( 70⁰) j
vB = 8.55 i + 23.5 j
b) The speed of ship A relative to ship B is:
vAB = vA - vB
= ( -10 i + 10√3 j) - (8.55 i + 23.5 j)
= -18.55 i - 6.18 j
or vAB = sqrt (18.55² + 6.18²) = 19.6 mph with the angle tan⁻¹ (6.18/18.55) = 18.4⁰ South of East.
a) The distance between 2 ships after 2 hours:
d = vAB . 2 hours
d = 19.6 . 2 = 39.2 miles
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Factor the expression below.
x2 – 81
Answer:
The factors are (x+9),(x−9).
Step-by-step explanation:
5. aviation due to a storm, a pilot flying at an altitude of 528 feet has to land. if he has a horizontal distance of 2000ft until the landing strip, what angle of depression should he use to land? round to the nearest tenth of a degree.
A pilot who is flying at a height of 528 feet must land because of a storm. 14.78° angle of depression should he utilize to land.
Given that,
A pilot who is flying at a height of 528 feet must land because of a storm.
We have to find what angle of depression should he utilize to land if the distance between him and the landing strip is 2000 feet horizontally.
In the right angle triangle:
TanΘ=Opposite side/ adjacent side
The opposite side is 528 feet.
The adjacent side is 2000 feet.
Then,
TanΘ=528/2000
TanΘ=0.264
Θ=Tan⁻¹(0.264)
Θ=14.78°
Therefore, 14.78° angle of depression should he utilize to land.
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13+14=3×f;f=9 helppp
Answer: 3x=13+14
3x=27
x=27/3
x=9
Step-by-step explanation: Maybe.
What is the value of in if the remainder of /is 2?
O A. 1
OB. i
O C. -1
O D. -1
The value of i where remainder of n/ 4 is 2 is :
i² = -1 .
What is i?I has the value √-1.The complex numbers are expressed using the imaginary unit number, where I is defined as imaginary or unit imaginary. An imaginary number is a complex number component that can be written as a real number multiplied by the imaginary unit I where i² = -1. When the imaginary number is multiplied by itself, the result is negative. Consider the imaginary number 3i, which, when multiplied by itself or divided by its square, yields 9i², or -9.z = a + ib .i² = -1
i⁰ = 1
i¹ = i
i² = -1
i³ = i² x i
= -1 x i
= -i
i⁴ = i² x i²
= -1 x -1
= 1
The pattern repeats.
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Working alone, it takes Kristen 10.2 hours to harvest a field. Kayla can harvest the same field in 16.5 hours. Find how long it would take them if they worked together.
ANSWER:
13.35 hours
EXPLANATION:
Given:
Time Kristen takes to harvest = 10.2 hours
Time Kayla takes to harvest = 16. 5 hours
Let X represent the time it would take them to work together.
Here, to find the time it would take them if they worked together, let's find their mean time, using the formula below:
[tex]X\text{ = }\frac{Time\text{ taken by kristen + Time taken by Kayla}}{2}[/tex][tex]\begin{gathered} X\text{ = }\frac{10.2\text{ + 16.5}}{2} \\ \\ X\text{ = }\frac{26.7}{2} \\ \\ X\text{ = }13.35\text{ hours} \end{gathered}[/tex]It would take them 13.35 hours if they worked together.
Please solve will mark as
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102 plus what equals 180
Answer:
78
Step-by-step explanation:
80-2+78 soo,
78+2 +80 with means 102+78 =180
Answer:
102 + 78 = 180
Step-by-step explanation:
Miguel is going to see a movie and is taking his 5 kids. Each movie
ticket costs $12 and there are an assortment of snacks available to
purchase for $5 each. How much total money would Miguel have to
pay for his family if he were to buy 5 snacks for everybody to share?
How much would Miguel have to pay if he bought a snacks for
everybody to share?
Total cost with 5 snacks:
Total cost with a snacks:
Two planes just recently left the airport. Looking at the radar, Plane 1 is 50 miles away from the airport and Plane 2 is 200 miles away from the airport. If the 2 planes are 175 miles away from each other, what is the angle measurement from the airport to the 2 planes? (round to the nearest whole number)
To solve this problem, we need to use the Law of Cosines. The law states that given any triangle ABC:
Then;
[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]Since we want to find the measure of angle x, we can use:
c = 175 mi
a = 200 mi
b = 50 mi
C = x
Now, by the Law of Cosines:
[tex]175^2=200^2+50^2-2\cdot200\cdot50\cdot\cos(x)[/tex]And solve:
[tex]30625=40000+2500-20000\cos(x)[/tex][tex]30625-40000-2500=-20000\cos(x)[/tex][tex]\frac{-11875}{-20000}=\cos(x)[/tex][tex]\begin{gathered} x=\cos^{-1}(0.59375) \\ . \\ x\approx53.5764 \end{gathered}[/tex]To the nearest whole number, x = 54°
If M is between G and T, MG = 2x + 1, MT = 3x + 3, and GT = 19, Then X = ___.MG = ___.MT = __.
We are given the following information
M is between G and T
MG = 2x + 1
MT = 3x + 3
GT = 19
Let us draw a sketch to better understand the problem
As you can see, the sum of MG and MT must be equal to the GT
Mathematically,
[tex]\begin{gathered} GT=MG+MT \\ 19=(2x+1)+(3x+3) \end{gathered}[/tex]Let us solve the above equation or x
[tex]\begin{gathered} 19=2x+1+3x+3 \\ 19=2x+3x+1+3 \\ 19=5x+4 \\ 19-4=5x \\ 15=5x \\ \frac{15}{5}=x \\ 3=x \\ x=3 \end{gathered}[/tex]So, the value of x is 3
[tex]\begin{gathered} MG=2x+1 \\ MG=2(3)+1 \\ MG=6+1 \\ MG=7 \end{gathered}[/tex][tex]\begin{gathered} MT=3x+3 \\ MT=3(3)+3 \\ MT=9+3 \\ MT=12 \end{gathered}[/tex]Therefore, the required values are
x = 3
MG = 7
MT = 12
find the slope of m and choose the correct letter
We can use the given points to find the slope
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{63_{}-49_{}}{_{}2009-1999_{}} \\ \\ m=\frac{14_{}}{_{}10_{}} \\ \\ m=1.4 \end{gathered}[/tex]It means that every year, there are 1.4 million MORE households with personal computers
what’s the quadratic formula
2X-3X-3=0?
Marty invested $7000 in treasury notes and stocks. The stocks paid 7% in the notes paid 8%, giving an annual income of $535. How much is invested into the treasury notes?
Answer:
3500
Step-by-step explanation:
split 7000 in half for stocks and treasury= 3500 each.
7 percent on 3500 is 3724, 7 percent of 3500 is 245 dollors. 535 x 7 is 3745 = 3500 invested in treasury.
Carrie wants to make a wallpaper border to go around the top of her room. She wants the border to look something like the illustration below.
The answer is A Reflection
This question is answered
Since Carrie wants to make a wallpaper border to go around the top of her room. She wants the border to look something like the illustration below. This is a Reflection
What is transformation?A transformation is an operation that is performed on a picture. Transformations are classified into four types: translations, reflections, dilations, and rotations. In transformations, reflections are achieved by flipping a shape or figure across a line of reflection, a point of reflection, or a plane of reflection.
A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure.
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The stem-and-leaf plot shows kilometers walked by participants in a charity benefit walk. Use it to answer the questions.
A stem and leaf plot shows the number of kilometers walked for charity.
The plot is titled 'Kilometers Walked for Charity.' The numbers 12, 13, 14, 15, 16, and 17 are in a vertical column to the left of a vertical line.
· On the same line as 12 but on the right of the vertical line are the numbers 3, 3, 6, 7, 9, and 9.
· On the same line as 13 but on the right of the vertical line are the numbers 1, 1, 4, 5, and 5.
· On the same line as 14 but on the right of the vertical line are the numbers 0, 0, 2, 3, 3, 8, 8, and 9.
· On the same line as 15 but on the right of the vertical line are the numbers 2, 2, 2, 2, 2, 3, 5, 5, and 7.
· On the same line as 16 but on the right of the vertical line are the numbers 4, 5, 5, 9, and 9.
· On the same line as 17 but on the right of the vertical line are the numbers 3 and 5.
The key to the stem and leaf plot identifies that 12 vertical line 3 means 12.3.
a. How many people participated in the walk?
b. How many of the walkers traveled more than 14 kilometers?
Answer:
35 participants for A
22 participants traveled more than 14 km for B.
Step-by-step explanation:
After the expression (x10)^3/5 Is simplified as much as possible, x is raised to what exponent?
The exponent of x in the expression (x¹⁰)³⁺⁵ is 6.
What is an exponent?Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These rules can help simplify formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.
The mathematical process known as an exponent often indicates the power of a variable.
As of right now, we are aware that under the scenario of
[tex](x^{a})^{b} = x^{ab}[/tex]
Therefore, solve the power by multiplying 10 by 3/5, and we get
10 × (3/5)
=6
Thus, the expression simplified as
(x¹⁰)³⁺⁵ = x⁶
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Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days, she had nine
more than five times as many fruit flies as when she began the study. If she observes 20 fruit flies on the first
day of the study, write and evaluate an expression to find the population of fruit flies Lavania observed after
6 days.
The expression to find the population of fruit flies on 6th day in Lavania's laboratory can be (9+5x) where x is the number of fruit flies on the first day. After evaluating the expression, the number of fruit flies on 6th day will be 109.
According to the question,
We have the following information:
Lavania observes 20 fruit flies on the first day of her study.
On 6th day, the number of fruit flies would be nine more than 5 times as many fruit flies as when she begun her study.
Now, let's take the number of fruit flies on first day to be x.
So, we have:
x = 20
Now, the expression to find the number of fruit flies on 6th day would be:
9+5x
Now, putting the value of x:
9+5*20
9+100
109
Hence, the required expression is (9+5x) and the number of fruit flies on 6th day are 109.
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1
What is the ratio of blue
circles to red circles?
Answer:
1:1 or one red circle to one blue circle
There is one red and one blue circle
Step-by-step explanation:
Jake has a 8 pounds of lunch meat to serve for a picnic lunch. He plans to serve each adult 2/3 of a pound. Part B: The price of lunch meat is $7.36 per pound. Which equation can be used to determine the total cost, c, for lunch meat that weighs a total p pounds? Then find the cost of the lunch meat. •p/7.36=c •p=7.36c, the cost is $1.09 •c=7.36p, the cost is $58.88 •p+7.36-c, the cost is $15.36
Part B
The most appropriate choice for linear equation will be given by -
Third option is correct
c = 7.36p is the required equation for total cost of p pounds of meat
The cost is $58.88
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here,
Price of one pound of meat = $7.36
Cost of p pounds of meat = $7.36p
By the problem,
c = 7.36p
This is the required equation for total cost of p pounds of meat
Putting p = 8
c = [tex]7.36 \times 8\\[/tex]
c = $58.88
Third option is correct
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Rida writes a fitness blog. At a certain point, she has 6,218 followers. Then the following events happen, in order: 92 people stop following Rida's blog. 417 people start following Rida's blog. The number of followers doubles. Use the drop-down menus to answer the questions below.
The number of followers Rita has is 13086.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of followers Rida has = 6,218
92 people stop following Rida's blog.
This means,
6218 - 92 = 6126
417 people start following Rida's blog.
This means,
6126 + 417 = 6543
The number of followers doubles.
This means,
6543 x 2 = 13086
Thus,
The number of followers Rita has is 13086.
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Given the following image, what additional information would you need to know to prove the triangles really are similar by SAS Similarity?
Given the following image, what additional information would you need to prove that the triangles are actually similar by AA Similarity?
1. The additional information needed to prove that ΔABE ~ ΔDBC by SAS similarity is: c. AB/DB is proportional to EB/CB.
2. The additional information needed to prove that ΔABE ~ ΔDBC by AA similarity is: a. ∠A ≅ ∠D.
What is the SAS Similarity?The SAS similarity is a triangle theorem that proves that two triangles are similar to each other if they have two pairs of sides that are proportional to each other and a pair of included congruent angles.
What is the AA Similarity?The AA similarity states that of two angles in one triangle is congruent to two corresponding angles in another triangle, then the two triangles are similar based on these properties they have.
1. In the triangles shown in the image, we have a pair of congruent angles based on he definition of vertical angles: ∠ABE ≅ ∠DBC
We are also given the measure of two corresponding sides. These are not enough to show the triangles are similar by the SAS similarity.
The additional information needed is: c. AB/DB is proportional to EB/CB.
2. Only one pair of congruent angles is given which is not enough to prove the triangles are congruent by AA similarity.
The additional information needed would be: a. ∠A ≅ ∠D.
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Is it possible for polygon ABCDE to be dilated to figure VWXYZ? Explain yourreasoning.
In the given figures, ratio of all corresponding sides are
[tex]\frac{1}{2}[/tex]Except the ratio of AE and VZ
[tex]\begin{gathered} \frac{AE}{VZ}=\frac{10}{12} \\ =\frac{5}{6} \\ \ne\frac{1}{2} \end{gathered}[/tex]Hence, the polygon ABCDE can't be dilated to VWXYZ because ratio of corresponding sides are not equal.
So, the correct answer is (C)
i need this asap pleasee 44 points
Answer:
Step-by-step explanation:
i think its the 3rd one
Nutrition: A cat food manufacturer uses fish and beef by-products. The fish contains 12 g of protein and 3 g of fat per ounce. The beef contains 6 g of protein and 9 g of fat per ounce. Each can of cat food must contain at least 60 g of protein and 45 g of fat. Find a system of inequalities that describes the possible number of ounces of fish and beef that can be used in each can to satisfy these minimum requirements. Graph the solution set. Find its vertices.
A cat food manufacturer uses fish and beef by-products.
Let the number of ounces of fish = x
Let the number of ounces of beef = y
The fish contains 12 g of protein and 3 g of fat per ounce.
fish = 12x + 3y
The beef contains 6 g of protein and 9 g of fat per ounce.
Each can of cat food must contain at least 60 g of protein and 45 g of fat.
so,
[tex]\begin{gathered} 12x+6y\ge60 \\ 3x+9y\ge45 \end{gathered}[/tex]Beside the above inequalities both of x and y must be greater than 0
so, the system of inequalities will be:
[tex]\begin{gathered} x\ge0 \\ y\ge0 \\ 12x+6y\ge60 \\ 3x+9y\ge45 \end{gathered}[/tex]The following figure represents the solution of the system:
As shown in the graph, the vertices are:
( 0 , 10 ) , (3 , 4 ) , ( 15 , 0 )
complete the two-column proof.
pleasee
∠2 ≅ ∠4 and m∠2 = 110°, and proved m<3 = 70⁰.
The answers of the blank lines are:
A . Vertically opposite angle.
B . Linear angle .
C . Hence proved .
Solution:Given ,
∠2 ≅ ∠4 and m∠2 = 110°.
We have to prove
m<3 = 70⁰
Here ,
m<2 = m<4 => They are vertically opposite angles.
And here ,
m<3 and m<4 are supplementary angles.
m∠3 + m∠4 = 180° => linear angle .
m<4 = 110⁰ => since m<2 = m<4
By substituting m∠4 we get,
m∠3 + m∠4 = 180°
= m∠3 + 110 = 180
= 180 - 110
m∠3 = 70°
Hence proved.
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a boat traveled 27miles in 2hours at this rate how many miles will the boat travel in 1/2 hours?
Answer:
6.75 miles
Step-by-step explanation:
27/2 = 13.5
27/4 = 6.75
27 miles in 2 hours
13.5 in 1 hour
6.75 in half an hour :)
Answer: 6.75 miles
Step-by-step explanation:27/4=6.75, I divided by 4 to get the half hour
y = 2x + 3
when x = -1, y =
Answer: y = 1
Step-by-step explanation:
y = 2(-1) +3
y = -2 + 3
y = 1