The floor of the entryway to an office building will be triangular. Two angles of the triangle will measure 40°, and the side between them will have a length of 8 meters. Make a scale drawing of the entryway using a scale of 1 cm : 2 m. Explain how you made your drawing.
Answers
Answer: The drawing in the attached figure
Step-by-step explanation: we know that
An isosceles triangle, has two equal sides and two equal interior angles
In this problem, the floor of the entryway to an office building is in the shape of an isosceles triangle
step 1
Find the measure of the vertex angle
Remember that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
Let
x ---> the measure of the vertex angle of triangle
step 2
Find the length of the congruent sides of triangle
Applying the law of sines
Let
c ----> the length of one congruent side
we have
substitute
solve for b
step 2
Make a scale drawing of the entryway
The scale drawing is 1 cm : 2 cm
That means
1 cm in the drawing represent 2 cm in the actual
or
1 cm in the drawing represent 0.02 m in the actual
Find the dimensions in the drawing
For a=8 m
For b=5.22 m
step 3
Draw the triangle
Related Questions
A TV has listed a price of $723.98 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sale tax included. Round your answer to the nearest cent, as necessary
Answers
Answer:
Step-by-step explanation:
$723.98 x 0.0925= $66.96815
$723.98+$66.97= $790.95
Round up to $791
Jennifer's bill for lunch was $15.00
If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?
A. x/15 = 100/20
B. x/15 = 20/100
C. 15/x = 20/100
D. 20/x = 15/100
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Answer:
a
Step-by-step explanation:
What are all the subsets?
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Answer:
The answer is rational irrational and natural if you got it wrong I am sorry I am in middle school I am in 8th grade I'm new at this and I don't have time to switch it up because I don't know if this is a quiz that has been timed for you
Terry is making meatballs for a family dinner. He needs ground turkey and ground beef to make the meatballs.
Ground turkey costs $4.50 per pound. Terry buys 2.6 pounds of ground turkey.
1. What is the total cost, in dollars, for 2.6 pounds of ground turkey? Show or explain how you got your answer.
Answers
⬇️/2
0.5 pounds=$2.25
⬇️/5
0.1 pounds=$0.45
4.5+4.5+2.25+0.45=11.7=2.6 pounds
Answer=$11.70
HELP MEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
r = 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
The model below represents an equation. Write the equation that is modeled then find what value of x makes the equation true.
HELP HELP HELP PLZ PLZ
Answers
Answer: x=-6
Step-by-step explanation:
Equation: 5x+2=6x+8
X=-6 to check just plug in the value of x to see if it equals
The model below represents an equation. Write the equation that is modeled then find what value of x makes the equation true. HELP PLZ PLZ PLZ PLZ
Answers
Answer: x=5
Which ratio will help to find the value of the missing side of the triangle?
3/2=x/4
2/3=x/4
2/3=4/x
x/3=2/4
Answers
Answer:
Correct ratio is:
2/3 = x/4
Step-by-step explanation:
Can someone please help me
Answers
Answer:
80=2x2x2x2x5
Step-by-step explanation:
2 just goes all the way down
80-2/40
40-2/20
20-2/10
10-2/5
80=2x2x2x2x5
URGENT!!!!!
For numbers 7a. – 7c., determine whether each statement is true or false using the transformation rule (x,y)→(x, -y)
7a. The transformation is a rotation.
7b. The transformation is a reflection.
7c. The transformation forms a congruent figure.
Answers
7b- false
7c- true
7a. False
7b. True
please help me with these two
Answers
Answer:
D
Step-by-step explanation:
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
A: the x-axis.
B: the y-axis.
C: the line y=6
D: the line x=5.
Please provide the answer and the explanation pls, the explanation is what matters the most. Thank you and have a great day!
Answers
Answer:
A = 12/5 units
Step-by-step explanation:
USING ALGEBRA:
We can find the intersection point between these two lines;
y = 3x - 6
y = -2x + 8
Set these two equations equal to each other.
3x - 6 = -2x + 8
Add 2x to both sides of the equation.
5x - 6 = 8
Add 6 to both sides of the equation.
5x = 14
Divide both sides of the equation by 5.
x = 14/5
Find the y-value where these points intersect by plugging this x-value back into either equation.
y = 3(14/5) - 6
Multiply and simplify.
y = 42/5 - 6
Multiply 6 by (5/5) to get common denominators.
y = 42/5 - 30/5
Subtract and simplify.
y = 12/5
These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.
Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.
Set both equations equal to 0.
(I) 0 = 3x - 6
Add 6 both sides of the equation.
6 = 3x
Divide both sides of the equation by 3.
x = 2
Set the second equation equal to 0.
(II) 0 = -2x + 8
Add 2x to both sides of the equation.
2x = 8
Divide both sides of the equation by 2.
x = 4
The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.
The height of the triangle is 12/5 units.
Formula for the Area of a Triangle:
A = 1/2bh
Substitute 2 for b and 14/5 for h.
A = (1/2) · (2) · (12/5)
Multiply and simplify.
A = 12/5
The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.
1.) Mr Rick can eat 12 dove chocolates every time Mr. Jones eats 7.
2.) Mr. Jones and Mr. Brown had a hot dog eating contest. For every 3 hotdogs Mr. Jones ate, Mr. Brown could eat 5. What is the ratio to Mr. Brown and the total hot dogs in all?
Answers
Answer:
12:7 and 5:8
Step-by-step explanation:
first one just put the 2 together and the second one you have mr. brown and then the second number add the 2
Write an equation: Six more than five times a number is negative twenty
Answers
Answer:
Let n = the number
5x + 6 = 2x - 9
3x = -15
x = -5
Step-by-step explanation:
pls help due today or ill fail
Answers
Answer: Ok so I may be wrong but I got 84ft
Step-by-step explanation: The bottom looks like a rectangle so it would be 4 times 12. 4 times 12 equals 48. since the height is 4 it would be 10-4 which equals 6. 6 Times 12 divided by two equals 36. 36 plus 48 is 84.
I NEED HELP PLEASE!!!! It's due
Answers
!!!(URGENT)!!! What is the surface area of this figure
Answers
Answer:
36 inches
Step-by-step explanation:
if you unfold the triangular prism and find the area of each individual shape, all you have to do is add them up:
Area Of Rectangle = WL
Area Of Triangle = 1/2(HB)
5x2=10
4x2=8
3x2=6
(4x3)1/2=6x2=12
10+8=18+6=24+12=36
Help please, my brains is empty :o(
Answers
Answer:
I think 5 and 5 are equal so the angles are equal which are 70,70
Step-by-step explanation:
70+70+x=180
140+x=180
x=40
Write the recursive formula for each geometric sequence
11. 1, 7, 49, 343, ...
Answers
Answer:
11.1,7,49,343, 365
Step-by-step explanation:
plug the answer into the formula i’m not entirely sure this is the answer
hey i am not smart but what is
[tex]83\frac{1}{3} minus \frac{2}{3}[/tex]
welp pls ;v;
Answers
Answer:
82 2/3
Step-by-step explanation:
I just subtracted them :) Hope this helps :)
PLS HELP ASAP GIVE BRAINLIEST TO PERSON WHO ANSWER CORRECTLY
Answers
Answer:
B.) , ratio of 20:1C.) , There are 11 costumers per tower and 11000 costumers in totalStep-by-step explanation:
Please mark brainliest...
multiply each value of the C. by 1,000 to get the # of C.s divide the # of C.s / T.s this gives you C.s per T.Convert to ratio formatthere is on average 15 to 20 C.s per T.5250/273 = 14.0756250/325 = 19.2307250/377 = 19.2309250/273 = 19.230 6250 = y377 572
2. multiply both sides by 572
3. 572 . 6250 = y
377
4. divide known pair
572 x 19.230 = y
5. solve for y
6. y = 10999.56
7. divide y value by 1000
8. 10.99956
9. round to the nearest whole #
10. There are 11 costumers per tower and 11000 costumers in total
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8. For each of the given situations, find the AREA of the bounded region, the answer is not A, B, C, or D, I need to solve the answer for that case. (For example, C, it says the line y=6. I need you to find the area of the bounded region when the line y is 6 and intersects the 2 other lines.)
A: the x-axis.
B: the y-axis.
C: the line y=6
D: the line x=5.
Please provide the answer and the explanation pls, the explanation is what matters the most. Thank you and have a great day!
Answers
The line y=6
please help with them all i will give you brainliest
Answers
I don't want to tell you all the answers but, question 7 is 30 and question 8 is 47.
Help me plz lol there may be more
Answers
Answer:
I think the answer is B
Step-by-step explanation:
There are 90 total days in winter. If it snowed 30% of the days, on how many days did it snow?
Please add an explanation I will mark you as Branliest, please help
Answers
Answer:
o your questions about snow: Is it ever too cold to snow? ... No, it can snow even at incredibly cold temperatures as long as there is some source ... area of the United States, see the average snowfall total table for hundreds of ... Seven days? ... Finally, a Winter Weather Advisory is issued for accumulations of snow
Step-by-step explanation:
Need help wasn't there for a lesson
Answers
The first thing that you would put into the function table on the first question would be as I said earlier 3 and then 8. The rule is the rate. Using a function table will be very helpful (That’s why I keep mentioning one). Let me know if this helps.
The point P(3,5) is rotated 90° clockwise about the origin. What are the coordinates of P'?
A. P'(-3,-5)
B. P'(5, -3)
C. P'(-5, 3)
D. P’(5,3)
Answers
3. Julie uses 4 green beads and 6 blue beads in each bracelet she makes. What is the total number of green beads Julie will use when she uses 24 blue beads? Show or explain how you got your answer.
Answers
exsplain:
24 divided by 6= 4
4x4=16
For every 6 blue beads Julie used she used 4 green and she made 4 brackets so times 4x4 getting you to 16! Hope this helps
The solution is 16 green beads Julie will use when she uses 24 blue beads.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
Julie uses 4 green beads and 6 blue beads in each bracelet she makes.
Julie will use when she uses 24 blue beads
we have to find the total number of green beads Julie will use when she uses 24 blue beads
so, we have,
4 green beads and 6 blue beads in each bracelet
i.e. green beads : blue beads = 4 : 6
now. let, x green beads Julie will use when she uses 24 blue beads
i.e. green beads : blue beads = x: 24
we get,
4 : 6 = x: 24
so. x = 4 * 24 / 6
24 divided by 6= 4
4x4=16
we get,
For every 6 blue beads Julie used she used 4 green and she made 4 brackets so times 4x4 getting you to 16
Hence. 16 green beads Julie will use when she uses 24 blue beads.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
Which statement about ocean water density is true? (Science)
a) Ocean water that is lower in temperature and has a lower salinity has a higher density.
b) Ocean water that is lower in temperature and has a higher salinity has a lower density.
c) Ocean water that is lower in temperature and has a higher salinity has a higher density.
d) Ocean water that is higher in temperature and has a higher salinity has a lower density.
Answers
Answer:C
Step-by-step explanation:
Jayne bought between 2 and 3 pounds of granola. If the amount of granola she bought was closer to 2 pounds, what is a possible mixed number that could represent the amount she bought?
Answers
Answer:
2 1/4 pound of granola.
Step-by-step explanation:
Imagine a dollar. There's always 4 quarters in a dollar. One is 25 cents of 1/4 of a dollar. Two quarters is 50 cents of 1/2 of a dollar. Three quarters is 75 cents or 3/4 of a dollar and 4 quarters is a whole dollar.