Answers
Part A: To draw triangles ABC and DEC separately, follow these steps:
Draw a line segment DE with a length of 1.2 feet. This will be the base of both triangles.At point D, draw a perpendicular line segment DC with a length of 2 feet. This will be the height of triangle DEC.At point E, draw a line segment EB with a length of 0.3 feet. This will be the height of triangle ABC.Connect points C and B with line segment BC. This will be the hypotenuse of both triangles.What is the others about?The lengths of sides BC, DE, and EC are as follows:
BC: It is the hypotenuse of triangle ABC and has a length that needs to be calculated using the Pythagorean theorem.DE: It is the base of both triangles and has a length of 1.2 feet.EC: It is the height of triangle DEC and has a length of 2 feet.Part B: To find side AB of triangle ABC, we can use the concept of similarity and ratios. Since triangles ABC and DEC are similar, their corresponding sides are proportional. We can set up the following proportion:
AB/DE = BC/EC
Plugging in the given values, we get:
AB/1.2 = BC/2
To solve for AB, we can cross-multiply and then divide:
AB = (BC/2) x 1.2
Now we need to find the value of BC. We can use the Pythagorean theorem, as BC is the hypotenuse of triangle ABC. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
BC² = AB² + BE²
Plugging in the given value for BE, we get:
BC^2 = AB² + 0.3²
Now we can substitute the value of AB from the previous equation into this equation:
BC² = ((BC/2) * 1.2)² + 0.3²
Simplifying, we get:
BC² = 0.36 x BC^2/4 + 0.09
Multiplying both sides by 4 to eliminate the fraction, we get:
4 x BC² = 0.36 x BC² + 0.36 + 0.09
Combining like terms, we get:
4 x BC² = 0.36 BC² + 0.45
Subtracting 0.36 x BC² and 0.45 from both sides, we get:
3.64 x BC² = 0.45
Dividing both sides by 3.64 to isolate BC², we get:
BC² = 0.45 / 3.64
Taking the square root of both sides to solve for BC, we get:
BC ≈ √(0.45 / 3.64)
BC ≈ 0.357 feet
Now we can substitute the value of BC back into the equation for AB:
AB = (BC/2) x 1.2
AB ≈ (0.357/2) x 1.2
AB ≈ 0.214 feet
So, the approximate length of side AB of triangle ABC is 0.214 feet.
Read more about triangle here:
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See full text below
Triangles ABC and DEC are similar. Side DE is 1.2 feet, side EC is 2 feet, and side BE is 0.3 foot.
Part A: Describe how to draw triangles ABC and DEC separately. Be sure to give the lengths of sides BC, DE, and EC in the description. (6 points)
Part B: Find side AB. Show each step of your work. (6 points)
Related Questions
Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations.
A. 5 × 3 = 15
B. 1/5 × 1/3 = 1/15
C. 1/5 × 3 = 3/5
D. 5 ÷ 1/3 = 15
E. 1/3 ÷ 5 = 1/15
Answers
Answer:
A and D
Step-by-step explanation:
One pear is split into thirds. That means that one pear can become 3 slices. Because you have 5 pears, you have 15 slices. By multiplying 3 (slices) and 5 (pears), we receive the answer of 15 slices.
The answer is A and D.
Step-by-step explanation - Kylie brought 5 pears to practice. Because she cut each of them into thirds, this means that each pear equals 3 slices - therefore making the equation 5 x 3 = 15 and also making the equation 5 ÷ 1/3 because them two both equal 15.
Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to airplanes.
A. 12:24
B. three halves
C. 8:12
D. 4 to 6
Answers
Answer:
B three halves or 3:2
Step-by-step explanation:
total cars 12
total airplanes 8
ratio of cars to airplanes is 12:8 ie 3:2
Answer:
Three havles
Step-by-step explanation:
The question tells us that there are 12 cars and 8 airplanes,
As a ratio this would be presented as , 12:8 .
However , when we simplify it we get 3:2 or 3 havles
4) Necolai reported his weekly earning for the first four weeks as $87, $105, and $125.
A) How much does he have to earn in the fifth week to achieve an average of $130 per
week? Show and explain all of your work.
B) After five weeks of his earning, he has to pay 28% in taxes. How much were the
taxes? How much of his total pay does he have left after taxes? Show and explain all
of your work.
ANSWER BOTH QUESTIONS QUESTION A AND QUESTION B.
Answers
Answer: A) $333
B) $468
Step-by-step explanation:
A) First we multiply. 130x5=650 Now we know that we have to get $650 total in 5 weeks in order to get an average of $130 per week.
87+105+125=317
650-317=333
Necolai has to earn $333 the fifth week to achieve an average of $130 per week.
B) 28% of 650 = 182
Now subtract the taxes from his earnings. 650-182=468
Necolai has $468 of his total pay after taxes.
To find how much Necolai has to earn in the fifth week to achieve an average of $130 per week, we have to use the concept of mean.
The average of five weeks' earnings should be $130. Therefore, the sum of his five-week earnings should be:
5 * 130 = 650
Necolai's total earnings for the first four weeks are:
87 + 105 + 125 + x (earning in the fifth week) = 317 + x
317 + x + y = 650
where y represents his earnings in the fifth week. Solving for y, we get:
y = 650 - 317 - x
y = 333 - x
So, Necolai has to earn $333 in the fifth week to achieve an average of $130 per week.
Question B:
After earning $87, $105, $125, and x dollars (from the third week), Necolai’s total earning are $317 + x. After 5 weeks, Necolai has to pay 28% in taxes, which means he gets to keep 72% of his earnings.
The taxes are calculated as:
Taxes = 0.28 * (317 + x)
Taxes = 88.76 + 0.28x
Therefore, the taxes he has to pay after five weeks are $88.76 + 0.28x.
The portion of his total earnings that he keeps after taxes is:
Total earnings - Taxes = (317 + x) - (88.76 + 0.28x)
Total earnings - Taxes = 228.24 + 0.72x
Therefore, after paying taxes, Necolai is left with $228.24 + 0.72x of his total earnings.
This is due please help ASAP
Answers
Answer: a= 12.34 b= 1.83 c=26.98
Step-by-step explanation: a= y intercept b= slope c= slope*8 + y-int
Here’s a box plot that summarizes the number of cupcakes eaten by contestants at a cupcake-eating contest. Find the interquartile range (IQR) of the data?
Answers
Answer:16
Step-by-step explanation:
First you find the Lower quartile, which in this case is 6. Then you find the Upper quartile ,which here is 22. You then subtract the two which gives you your Interquartile range (IQR).
Find The Area Of The Shape
(if you help, I will brainliest you!)
Answers
Answer:
1020
Step-by-step explanation:ddo the area with both triangles then multiply
Answer: 1020
Step-by-step explanation:
The following system of linear equations is shown in the graph.
y equals one fourth times x minus 1
x − 4y = 4
a coordinate plane with two lines that pass through the points 0 comma negative 1 and 4 comma 0
How many solutions does the system of linear equations have?
No solution
Infinitely many solutions
One solution at (4, 0)
One solution at (0, −1)
Answers
The system of linear equations is given as:
y = 1/4x - 1
x - 4y = 4
To find the solution, we can substitute y in the second equation with 1/4x - 1:
x - 4(1/4x - 1) = 4
x - x + 4 = 4
4 = 4
The equation 4 = 4 is always true, which means that the system of linear equations has infinitely many solutions.
Therefore, the answer is:
Infinitely many solutions.
Can someone help me asap I will make you the brainliest
Answers
Add all of them together, you get 40 then divide by 8 because there are heights listed then the mean height is 5
Answer is 5
A bag contains 3 marbles: a blue marble, an orange marble, and a white marble. A marble is chosen twice with replacement. Find the sample space.
Answers
Answer:
3
Step-by-step explanation:
The sample space for this experiment is:
{(blue, blue), (blue, orange), (blue, white), (orange, blue), (orange, orange), (orange, white), (white, blue), (white, orange), (white, white)}
Therefore, there are 9 possible outcomes in the sample space.
Here’s the picture for the question below
Answers
i hope this helps you.
actually you just need to know the formula of area which is 1/2 × base x height this is area and for perimeter just everything the lengths of the sides of the triangle .
the slanted triangle qns. like (e) the height is always outside the trianglePLS HELP ASAP!! WILL GIVE BRAINLIEST!!!
The table below shows the changes to the price of a particular share on the stock market.
Day : Daily change (in dollars)
1 +2.75
2 -4.375
3 +0.875
4 -2.5
(A) By how much did the price of the share change from the start of day 1 to the of day 4?
(B) At the end of day 4 the price of the share is $102.85. What was the price of the share at the start of day 1?
Answers
Answer:
a
Step-by-step explanation:
can somebody please help me on these 4 questions i don't get it. i just need the answer i dont need the work PLLLSSSS ITSSS URGENTTTTT
Answers
Answer: Sorry if I'm wrong, but I believe it is:
Red Shape: 14.5 sq in.
Blue Shape: ≈236.75 sq ft.
Yellow Shape: 132 sq cm.
Purple Shape: 89 sq m.
Step-by-step explanation:
Red Shape: Find area of triangle, then subtract the square. (5+4)(5)/2=22.5 22.5-8=14.5
Blue Shape: Find the semicircle area, then the rectangle in the middle.
Yellow Shape: Find area of trapezoid, then add area of rectangle.
Purple Shape: Find area of rectangle and subtract area of triangle.
50 points mathamatics PLEASE ANSWER ASAP DUE TOMMOROW
Answers
Answer:
87
Step-by-step explanation:
Solve for b.
⠀
⠀
⠀
⠀
⠀
⠀
Answers
Answer:
[tex]b=\frac{3}{5}[/tex]
Step-by-step explanation:
Solve for b:
[tex]\frac{4}{3}b=\frac{4}{5}[/tex]
Divide 4/3 on both sides
[tex]b=\frac{3}{5}[/tex]
hope it helps :))
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is the volume of this piece? What is the volume of the other piece?
HELP
Answers
The volume of the original rectangular prism is given by:
V1 = length x width x height
= 5 inches x 13 inches x 10 inches
= 650 cubic inches
To find the volume of the remaining piece, you need to determine its dimensions. If you have an image or a description of the piece, you can use that information to calculate its volume. Once you have the volume of the remaining piece, you can subtract it from the volume of the original rectangular prism to get the volume of the piece that was cut out.
To find the volume of the other piece, you can subtract the volume of the piece that was cut out from the volume of the original rectangular prism:
V2 = V1 - V_cut_out
where V_cut_out is the volume of the piece that was cut out.
Please help! -Screenshot-
Correct answer gets brainlist
Answers
Answer:
[tex]6 {a}^{2} = 6[/tex]
[tex] {a}^{2} = 1[/tex]
[tex]a = 1[/tex]
The side length of each face is 1 cm.
Answer:
A) 1 cm
Step-by-step explanation:
help me pleaseeeeeeee
Answers
Answer:
280/12 = 23.33
Step-by-step explanation:
Do the top one first and divide it by the bottom
Answer:
70/3
this is the answer I hope it helps u!! :D
PLLSSS HELP IT IS SIMPLE VOLUME OF RECTANGULAR PRISM
Answers
Answer: 396
Step-by-step explanation:
A photographer’s darkroom needs a new coat of black paint on all surfaces of the room, including the ceiling and the floor. The room is a cube with edge length 11
feet. How much surface area must be painted?
Answers
The surface area of a cube is given by the formula 6s^2, where s is the length of the edge. In this case, s = 11 feet, so the surface area of the cube is:
6s^2 = 6(11)^2 = 6(121) = 726 square feet
Since the room has six surfaces that need to be painted (four walls, one ceiling, and one floor), the total surface area that needs to be painted is:
6 x 726 = 4356 square feet
Therefore, the photographer's darkroom needs to have 4356 square feet of black paint applied to all of its surfaces.
Brainlist pls
1. there is a box of supplies on the end of a rope that is on a pulley. The pulley has a radius of 1/4 foot.
A . How far can you move the box of supplies in 8 rotations of the pulley? Show and explain all of your work
B. How far can you move the box of supplies in 8 rotations if the radius of the pulley is doubled? Show and explain all of your work.
Answers
Answer:
to put it simply it's a pretty easy question and it's b
Which best compares and contrasts the teaching and training careers and the professional support careers?
Both careers try to support student success; however, teaching and training careers involve direct instruction of students.
Both careers help students learn; however, teaching and training careers are involved in running the school.
Both careers are increasing the number of available jobs; however, professional support career earns less money.
Both careers have support careers; however, professional support careers assist in the classroom.
Answers
Answer:
Both careers try to support student success; however, teaching and training careers involve direct instruction of students.
Answer Explanation:
Professional support careers help people involved in education and training systems with personal and family needs, educational goals, mental health assistance, and career decision-making. They provide support and encouragement to students undergoing challenging experiences. Professional support career titles include counselors and Psychologists, among others.
Teachers and trainers offer instructions to students in the class or other conducive places. They help students complete their syllabus, learn the intended materials, acquire knowledge, and pass their examinations.
So I think you already have the explanation.Hope this helps:)
what is the equation and answer
Answers
Answer:
3g+35=46.40
g=3.8
Step-by-step explanation:
ASAP ON A CALL Brainliest IF CORRECT
A spinner is spun twice with 3 equal sections colored orange, red, and purple. What is the P(spinning one Red and one Purple)?
Answers
Answer:
P(red) = 1/3
P(purple) = 1/3
P(red, then purple) = (1/3)(1/3) = 1/9
P(purple, then red) = (1/3)(1/3) = 1/9
P(red and purple) = 1/9 + 1/9 = 2/9
Do you think Mary was contrary because she wanted to be? Why or why not?
Answers
Mr.Blair has 24 students in his class. Students sit in tables of 4. Mr.Blair gives each table 8 sheets of paper how much paper did mr.Blair give out
Answers
Answer:
48 sheets of paper
Step-by-step explanation:
24÷4=6
6×8=48
NO FAKE ANSWER
27 POINTS
Answers
Answer: 63 square inches
A Company Is Desinging A New Cylindrical Water Bottle.
Answers
Answer:
The answer is 28
Step-by-step explanation:
i only knew that because i just copied the other person’s answer
The least common denominator of 3/2 and 2/3 is ___.
A) 3
B) 6
C) 12
D) 2
Answers
Due today please help me its angles and transversals
Answers
I hope it will help you. Please mark me as brainliest if you got your answer
Please help!! Giving away 10 points 4 this‼️
Answers
Answer:
D) since -2 is to the left of 1, -2 < 1.
Step-by-step explanation:
U are welcome