Draw triangle ABC by first drawing segment BC six inches long. Then draw a 60° angle at vertex B and a 60° angle at vertex C. Extend the segments so that they intersect at point A.
Answers
Answer:
Step-by-step explanation:
Given that segment BC is the base of the triangle, this drawing shows that triangle ABC is an equilateral triangle.
Since;
<B = <C = 60°
Then,
<A + <B + <C = [tex]180^{o}[/tex]
<A + 60° + 60° = [tex]180^{o}[/tex]
<A = [tex]180^{o}[/tex] - [tex]120^{o}[/tex]
= 60°
Thus,
AB = BC = AC = 6 inches
The construction is attached to this answer.
Related Questions
A certain cookie recipe calls for 2 cups of flour to make one batch of cookies. Which graph best
represents the relationship between the amount of flour and the number of batches of cookies that
can be made using this recipe?
Answers
Answer:
1 cup of flower makes 1/2 a batch of cookies
Step-by-step explanation:
2 divided by 2 is 1
1 divided by 2 is 1/2
what is 3 1/2 miles -3,520 yards (answer in miles)
Answers
Answer:
Step-by-step explanation:
-2mi 0.000000yd
Add
to each side x2 - 8x = 9 to complete
the square.
Answers
Answer:
the correct answer is 16
Step-by-step explanation:
Add ⇒ 16 to each side x2 – 8x = 9 to complete the square.
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
Answers
Y = 4x + b
Plug in the point
5 = 4(-2) + b
5 = -8 + b
b = 13
It would be D. Y= 4x+13
Jae is constructing an open box from a piece of cardboard that is 9 in. Wide and 12 in. Long. Jae cuts squares of equal size from each corner of the cardboard, and then folds up the sides of the box. Write and simplify a polynomial function V for the volume of the box in terms of x.
Answers
Answer:
The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].
Step-by-step explanation:
Geometrically speaking, the volume of the open box ([tex]V[/tex]), measured in cubic inches, is described by the volume of a right parellelepiped. That is:
[tex]V = w\cdot l \cdot h[/tex] (1)
Where [tex]w[/tex], [tex]l[/tex] and [tex]h[/tex] are the width, length and height of the open box, respectively, measured in inches. Please notice that width of the open box is the width of the piece of cardboard ([tex]w'[/tex]), measured in inches, minus two times the side of the cut squares ([tex]x[/tex]), measured in inches, length of the open box is the length of the piece of cardboard ([tex]l'[/tex]), measured in inches, minus two times the side of the cut squares and the height of the open box is the side of the cut squares. That is:
[tex]w = w' -2\cdot x[/tex] (2)
[tex]l = l' - 2\cdot x[/tex] (3)
[tex]h = x[/tex] (4)
By applying (2), (3), (4) in (1), we expand and simplify the volume function:
[tex]V = (w'-2\cdot x)\cdot (l'-2\cdot x)\cdot x[/tex] (5)
If we know that [tex]w' = 9\,in[/tex] and [tex]l' = 12\,in[/tex], then the equation above is:
[tex]V = (9-2\cdot x)\cdot (12-2\cdot x)\cdot x\,\,\,[in^{3}][/tex]
[tex]V = (108-24\cdot x-18\cdot x+4\cdot x^{2})\cdot x\,\,\,[in^{3}][/tex]
[tex]V = (108-42\cdot x +4\cdot x^{2})\cdot x \,\,\,[in^{3}][/tex]
[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex]
The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
0.7 cm and 2 cm
O 8 cm and 9 cm
Answers
Answer:
8cm and 9cm
Step-by-step explanation:
HELP!!!! Due in 1 hour.
Answers
Answer
these nut in you'er mouth
Step-by-step explanation:
Is there a triangle whose angles have these measures in degrees?
A) Yes
B) No
Answers
Answer:
No
Step-by-step explanation:
The sum of all internal angles on a triangle must equal 180°
[tex]28 + 64 + 100 = 192[/tex]
Can somebody help me with these 2? Will mark brainliest!
Answers
Answer:
Number 1 is 0.3
Number 2 is is choice 2
3
Mark placed a ladder against a wall. The bottom of the ladder was 5 feet away from the wall. Find the height of the wall.
Ladder
10 feet
Wall
5 feet
Answers
Answer:8.66?
Step-by-step explanation:
pythagoras theorum finding the shorter side
A=C²-B²
10²-5²
=√10² - 5²
=8.66
What is the value of -4° +(6-2)(-6)?
434
-2
34
Answers
Answer: Um, –28?
Step-by-step explanation:
Andrew is descending 57 feet underwater while scuba diving. If he descends at a rate of 3 feet per second, how many seconds will it take Andrew to descend the full distance?
Answers
Answer: 19 seconds
Step-by-step explanation:
From the question, we are informed that Andrew is descending 57 feet underwater while scuba diving and that he descends at a rate of 3 feet per second.
The number of seconds that it will take Andrew to descend the full distance will be 57 divided by 3. This will be:
= 57/3
= 19 seconds
It'll take Andrew 19 seconds to descend the full distance
A 39 inch piece of ribbon is cut so that one piece is 3 1\2 inches longer than the other. What is the length of the longer piece of ribbon?
Answers
Answer:
longer: 23inches shorter: 16incher
Step-by-step explanation:
Simplify the expression by adding or subtracting the linear expressions. 9x - 20 - 8x + 2 *
-11x - 6
17x - 18
x -18
22x + 17
Answers
Answer:
9x - 20 - 8x + 2 * -11x - 6 +17x - 18 +x -18 +22x + 17
If you mean so, then this is the answer
19x-45
Choose the function with the largest constant of variation.
Answers
Answer:
he answer is the third one
Step-by-step explanation:
I did it on edge
Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4)left parenthesis, 6, comma, minus, 4, right parenthesis.
Answers
Answer:
[tex]y = \frac{4}{3}x - 12[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,-8)[/tex]
[tex](x_2,y_2) = (6,-4)[/tex]
Required
Determine the equation
First, we need to determine the slope (m):
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4 - (-8)}{6 -3}[/tex]
[tex]m = \frac{-4 +8}{3}[/tex]
[tex]m = \frac{4}{3}[/tex]
Next, we determine the line equation using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = \frac{4}{3}[/tex]
[tex](x_1,y_1) = (3,-8)[/tex]
[tex]y - (-8) = \frac{4}{3}(x - 3)[/tex]
[tex]y +8 = \frac{4}{3}(x - 3)[/tex]
[tex]y +8 = \frac{4}{3}x - 4[/tex]
[tex]y = \frac{4}{3}x - 4 - 8[/tex]
[tex]y = \frac{4}{3}x - 12[/tex]
The equation of the line that passes through (3, -8)(6, -4) is y = - 1 / 2 x - 1
The slope intercept equation is as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
The line passes through (3, -8)(6, -4)
m = -4 - 3 / 6 + 8 = -7 / 14 = - 1 / 2
y = - 1 /2 x + b
let's find b using (6, -4)
-4 = - 1 /2 (6) + b
-4 + 3 = b
b = -1
Therefore,
y = - 1 / 2 x - 1
learn more:
if the ice melts at a rate of 2 in3per minute, how long do you have to eat your treat before it allmelts?
Answers
Answer:
You have to eat it all fast
Step-by-step explanation:
There is not real question here
One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. How
would such a decrease effect the benefits on a salary of $54,000?
a. Benefit would decrease by $1,404 annually.
b. Benefit would decrease by $7,020 annually.
Ć. Benefit would decrease by $8,640 annually.
d. Benefit would decrease by $15,660 annually.
Answers
Answer:
the answer is B
Answer:
The correct answer is B) Benefit would decrease by $7,020 annually.
If –y + 2x^2 – x = -5y^3 then find dy / dx in terms of x and y.
Answers
Answer:
dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]
Step-by-step explanation:
-y + 2x²- x = -5y³
2x² - x = y - 5y³
4x - 1 = dy/dx - 15y².dy/dx
dy/dx(1 - 15y²) = 4x - 1
dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]
What’s the surface area of 200 square inches ?
Answers
Answer:
5.77in
Step-by-step explanation:
A cube has 6 square faces, so each face would have area 200 sq in/6=33.33 sq in
Since the area of each face equals the square of the sides, the edge of the cube would be sqrt%2833.33sq+in%29= approx. 5.77 in
A plumbing company charges $35 per hour plus a $25 travel charge for a service call. Another plumbing company charges $40 per hour for a service call with no travel charge. Solve the equation 35h+25=40h to find how many hours h a service call must be for the two companies to charge the same amount.
__ hour(s)
Answers
Answer:
5 hours
Step-by-step explanation:
35h + 25=40h
implies 25=40h-35h
25=5h
dividing both sides by 5,
h=5
WILL MARK BRAINLIEST!! if the measure of angle CBD is 9(8x+11)°, then what is the value of x?
Answers
Answer: 72x+99'
Step-by-step explanation:
ALSO LOVE YOUR PROFILE PICTURE!!!!
There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour? You may use the area model to solve. Show your work (algorithm)
Answers
Answer:
3600 seconds
Step-by-step explanation:
There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour?
Using area model
60 seconds = 1 minute
60 minutes = 1 hour
The number of second in an hours
= 1 minute = 60 seconds
60 minutes(1 hour) = x
Cross Multiply
= 60 minutes × 60 seconds/1 minute
= 3600 seconds
Hence, 1 hour = 3600 seconds
PLEASE HELP :(
Mario is spending the day at the county fair. The admission ticket costs $10.00. Each ride ticket costs $2.50.
Which equation can be used to find y, the total cost of Mario’s day at the fair, given x represents the number of ride tickets he purchases?
y = 2.50x + 10
y=2.50(x+10)
y = 10x + 2.50
y=2.50x−10
Answers
Answer:
y = 2.50x + 10
Step-by-step explanation:
y=mx+b
x=number of rides
y=cost
Answer:
a is the answer
Step-by-step explanation:
pls answer fast (50 points)
Answers
Answer: c
Step-by-step explanation:
A. 52.50
B. 54.40
C. 51.00
D. 52.00
I need help ;-; pls
Answers
Answer:
B) 17
Step-by-step explanation:
3 (12 - 8) + 5
(3 x 12) - (3 x 8) + 5
(36 - 24) + 5
12 + 5
17
What transformations were applied to ABCD to obtain A'B'C'D?
Answers
Answer:
Rotate 90 degrees counterclockwise then translate 2 units up.
Step-by-step explanation:
I just took a quiz on a p e x and it was correct! :)
Answer:
roatae 90 degrees conter clockwise about the origin and then go to units up
Step-by-step explanation:
Please help me im new to the site. A soda company had sales of $35,119 million in 2010 and $45,962 million in 2014. Use the Midpoint Formula to estimate the sales in 2012. Assume that the sales followed a linear pattern.
Answers
Answer:40533.5
Step-by-step explanation:
Midpoint formula
(35113, 2010) > (X1, Y1)
(45954, 2014) > (X2, Y2)
Plug it into the midpoint formula
A. What is the area of square ABCD?
B. What is the area of square EFGH?
C. What is the area of the unshaded region of ABCD.
NEED HELP!!!!
Not very good with these kinds of problems
Answers
I really need help on this question
Answers
Answer:
B
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.
A line perpendicular to it will be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 6, - 9) with x- coordinate - 6, thus
x = - 6 ← is the equation of the perpendicular line