Answers
Answer:
BC = 4 cm
BE = 10.39
Step-by-step explanation:
ABCD is an isosceles trapezoid.
Measures of base angles of an isosceles trapezoid are equal.
[tex]\therefore m\angle ABC = m\angle DCB [/tex]
[tex]\because m\angle DCB = 120\degree [/tex]
[tex]\therefore m\angle ABC = 120\degree [/tex]
[tex] m\angle ABE = 120\degree-90\degree [/tex]
[tex] m\angle ABE = 30\degree [/tex]
in triangle ABE,
[tex]\cos 30\degree =\frac{BE}{12}[/tex]
[tex]\frac{\sqrt 3}{2} =\frac{BE}{12}[/tex]
[tex] BE = \frac{\sqrt 3\times 12}{2} [/tex]
[tex] BE =6\sqrt 3\: cm[/tex]
[tex] BE = 10.39 cm[/tex]
[tex]\sin 30\degree =\frac{AE}{12}[/tex]
[tex]\frac{1}{2} =\frac{AE}{12}[/tex]
[tex] AE = \frac{12}{2} [/tex]
[tex] AE =6 \: cm[/tex]
Next, Draw [tex] CF\perp AD [/tex]
FD = AE = 6
EF = 16 - (AE + FD) = 16 - (6+6) = 16-12
EF = 4 cm
BCFE is a rectangle.
Measures of the opposite sides of a rectangle are equal.
Therefore
BC = EF
BC = 4 cm
Related Questions
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options.
Answers
Answer:
Step-by-step explanation:
The reason the percents are not the same is probably because you are finding percentage diffrences from diffrent numbers.
Answer:
A,C, and E
Step-by-step explanation:
I took the test
-16+ x= -15
Need this answer
Answers
Answer:
x=1
Step-by-step explanation:
Add
16
to both sides of the equation.x=−15+16 Add −15 and 16.x=1
Answer:
Step-by-step explanation:
-16 + x = - 15
Add 16 to both sides
-16 + 16 + x = -15 + 16
x = 1
10 (a) Simplify
t+t+t
Answers
3 bc im right and your wrong im bigger your smaller and idek what im saying
please help EASY EASY STUFF
Answers
Answer:
1
Step-by-step explanation:
Hopefully this is right!
Answer:
0
Step-by-step explanation:
I think.......
2. Jacque Cousteau is in a submarine at a depth of 112m. The submarine is rising at a constant rate of 2 metres every 3 seconds. a) Write an equation to represent the submarine's depth, D in metres, with respect to time, t, in seconds.
Answers
I hope this makes sense!!!!
PLEASE HELP ASAP!! Students take a test worth a total of 100 points. There are 24 questions on this test, some are worth 5 points and others are worth 3. Solve for how many 5 point questions and 3 point questions there are on the test
Answers
Answer:
There are 14 5-point questions and 10 3-point questions.
Step-by-step explanation:
Form 2 equations:
Let x= 5-point questions
Let y= 3-point questions
1.) x+y=24
2.) 5x+3y=100
Use substitution by reforming equation 1 in terms of x or y (I used y)
1.) y=24-x
Sooo, substitute this into the y in the 2nd equation:
5x+3(24-x)=100
5x+72-3x=100
2x=100-72
2x=28
x=14
Now that we have x, substitute this into the 1st equation to get y:
1.) y=24-x
y=24-14
y=10
In conclusion, there are 14 5-point questions and 10 3-point questions.
Answer:
There are 14 questions that are worth 5 points and there are 10 questions that are worth 3.
Step-by-step explanation:
14 x 5 = 70
10 x 3 = 30
70 + 30 = 100
14 + 10 = 24 questions total
is TT/2 irrational or rational
Answers
Answer:
irrational.
Step-by-step explanation:
Answer:
Irrational
Step-by-step explanation:
I'll assume by TT you mean pi:
Since pi is irrational, dividing by 2 will still make it irrational.
A baker made 20 muffins for a cafe. By noon, 15% of the muffins were sold. How many muffins were sold by noon?
Answers
Answer:
15% of 20 is 3, so 3 muffins were sold.
Step-by-step explanation:
To get this answer, multiply the percent by the total (15 x 20 = 300) and then divide the answer by 100. (300 / 100 = 3). Hope this helps :)
Answer:3
Step-by-step explanation:
0.15x20=3
0.15 is the percent of muffins, to find out a percentage over a number, you do the percentage dived by 100. Than, you multiply it by the number.
am i right or wrong? i think im right but im not sure please help will give brainliest. if im wrong please explain the right answer to me
Answers
Answer:
Correct, good job!
Step-by-step explanation:
45% of $450:
$450 × 0.45 = $202.50
Add the 45% of $450 to $450
$202.50 + $450 = $652.50
I used a different method to double check your work
Joann is buying a new couch with a discount of 18%. If the original cost of the couch was $610, what is the discounted price?
Which equations represent the final cost, x, of the couch?
Select all that apply.
x=610−610(0.18)
x=610(0.82)
x=610+610(0.18)
x=610(82)
x=610(1+0.18)
x=610−610(18)
x=610(1−0.18)
Answers
Answer:
$500.92
Step-by-step explanation:
The following graphs are transformations of f(x) = x^2.
Complete the boxes below to describe the transformations.
A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _
Answers
Step-by-step explanation:
Let's look at A(x) and see how it is different from f(x)
it is shifted downwards by 8 unitsit is not shifted to the left or the rightTherefore A(x) = f(x) - 8
Let's look at B(x) and see how it is different from f(x)
it is not shifted downwards or upwardsit is shifted to the left 7 unitsTherefore B(x) = f(x + 7)
Let's look at C(x) and see how it is different from f(x)
it is shifted upwards by 4 unitsit is shifted to right by 5 unitsTherefore C(x) = f(x - 5) + 4
Let's look at D(x) and see how it is different from f(x)
it is not shifted downwards or upwardsit is not shifted to right by 12 unitsTherefore D(x) = f(x - 12)
Determine the end behavior of the function: f(x)= -3x*4
Answers
Sherry is making snack mix for a school field trip.
The recipe shows the amount of each ingredient needed to make 6 bags.
Complete each statement to adjust the ingredients for each new situation if Sherry uses this recipe.
1. To make 18 bags of snack mix, Sherry needs____ cups of almonds
2. Sherry needs 6 cups of granola to make____ bags of the snack mix.
3. If Sherry uses 1 cup of cranberries, she will need to use____ cups of raisins.
4. The recipe will make____ bags of the snack mix if Sherry uses only 1 cup of granola.
Answers
Answer:
Step-by-step explanation:
1- To make 18 bags of snack mix, Sherry needs 4.5 cups of almonds.
As the original recipe is for 6 bags, and here Sherry wants to triple that amount. You have to multiply 1.5 x 3.
2- Sherry needs 6 cups of granola to make 12 bags of the snack mix.
If Sherry gets 6 bags using 3 cups of granola, she will get 12 by using 6 cups of granola.
3- If Sherry uses one cup of cranberries, she will need to use 2 cups of raisins.
As 1 cup of cranberries is the double of what the recipe states, Sherry should also double the amount of cups of raisins.
4- The recipe will make 2 bags of the snack mix if Sherry uses only one cup of granola.
As 1 cup of granola is a third of the amount detailed in the recipe for 6 bags, the amount of bags will also be reduced to a third. 6/3=2
PLZ MARK BRAINLIEST IT TOOK LONG TO WRITE PLZZ
Find the length of GH.
- 10 -9 -8 -7 -6 -5 4 -3 -2 -1
1
-2
-3
G(-9, 4)
-5
-6
H(-2. -6.7
-8
-9
+10
A. About 3 units
B. About 7.3 units
C. 53 units
D. 9 units
Answers
Answer: About 7.3 units
Step-by-step explanation: I got it right
The length of the segment GH is given by the distance D = 7.3 units
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the first point be G ( -9 , -4 )
Let the second point be H ( -2 , -6 )
Let the length of the segment GH = D
Now , distance between G and H is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
On simplifying , we get
D = √ ( -9 - ( - 2 ) )² + ( -4 - ( -6 ) )²
D = √ ( -7 )² + ( 2 )²
On further simplification , we get
D = √ ( 49 + 4 )
D = √53
D = 7.28 ≈ 7.3 units
Hence , the distance is 7.3 units
To learn more about distance between 2 points click :
https://brainly.com/question/18234495
#SPJ7
Pleaseee help answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answers
Answer:
108º
Step-by-step explanation:
to find the sum of interior angles: ( n − 2 ) × 180 = x
x = 540º
n = # of interior angles
first, solve for n
(n - 2) • 180 = 540 distribute to 180 to (n - 2)
180n - 360 = 540 add 360 to both sides
180n = 900 divide both sides by 180
n = 5
to find measure of each angle:
540 ÷ 5 = 108º
9 hundred = how many 10's
Answers
Answer:
90
Step-by-step explanation:
900 is 90 tens
Check
900/10 = 90
or....
90 * 10 = 900
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Please help will give Brainly
Answers
x³ = 1/7²
∛(x³) = 1/∛7² = 1/7^(⅔) = 7^(-⅔)
x = 7^(-⅔)
The answer appears to be C, although there is an unexplained “⅔” below it.
An item is regularly priced at $72. Keiko bought it on sale for 80% off the regular price. How much did she pay?
Answers
Answer:
$57.60
Step-by-step explanation:
find 50% = $36
find 10% = $7.20
triple $7.20 = $21.60
add £36 and $21.60 = $57.60
Zx and Zy are supplementary angles. Zy measures 108°,
What is the measure of Zx?
Stuck? Watch a video or use a hint.
Answers
Answer:
72°
Step-by-step explanation:
Given
Zy = 108°
Zx = ?
We know
Zx + Zy = 180° {being supplementary angles }
Zx + 108° = 180°
Zx = 180° - 108°
Zx = 72°
Hope it will help :)
54 POINTS!!!!! PLEASE HELP LOL
Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice.
Write a system of equations to model the situation. Use v for the number of hours Amber coaches volleyball in a day and s for the number of hours she coaches soccer
How many hours each day does Amber spend coaching each sport?
Show your work.
Answers
Answer:
10(1*2)+s
Step-by-step explanation:
1. Please help if possible :)
Answers
Answer:
54
Step-by-step explanation:
6x=9x-27
x=9
9*9-27=54
37 degrees Celsius to Fahrenheit
Answers
Answer:
98.6 Fahrenheit
Step-by-step explanation:
Help me with my math pls
Answers
[tex]18 - ( \sqrt[3]{27} )^{3} [/tex]
Answer: -9
[tex]( \sqrt[3]{ - \frac{1}{8} } )^{3} + 3 \frac{3}{4} [/tex]
Answer: 3 5/8.
[tex]5 \sqrt[3]{729} - 24 [/tex]
Answer: 21.
[tex] \frac{1}{4} - 2 \sqrt[3]{ \frac{1}{216} } [/tex]
Answer: 7/12.
[tex]54 + \sqrt[3]{ - 4096} [/tex]
Answer: 38.
[tex]4 \sqrt[3]{8000 } - 6[/tex]
Answer: 74.
JD opened a savings account with $400. The simple interest rate is 3% per year.
How much total money, including interest, will be in his account after 2 years?
Answers
Answer:
$424
Step-by-step explanation:
3%=0.03
400X0.03=12
12X2
24(2 YEARS)
400+24=$424
The picture shows a blue rectangle split into 6
equal parts and an orange rectangle split into 6
equal parts.
Drag figures to each box so that their total area is equal to the number given.
Answers
Answer:
what is the answer?
Step-by-step explanation:
Answer:
Answers are in the pictures.
Step-by-step explanation:
Make h the subject
G=5h-2f÷3
Answers
Answer:
I think H=5g-2f÷3 ( I'm not sure at all sorry )
-4(x-5)+8x=9x-3
Can somebody help me with this problem
Answers
Answer:
6.2x
Step-by-step explanation:
x = -17/5
hope its helpful ❤❤❤
THANK YOU.
❤
PLEASE ANSWER FAST
Consider the graph of y = -3|xl. What will be the effect
on the graph if –3 is replaced with 3?
a. no change
b. a flip over x axis
c. vertical shift
d. horizontal shift of one unit to right
Answers
Answer:
B
Step-by-step explanation:
Essentially, the -3 in this equation is the slope, and when you multiply slope by -1 you are reflecting over the x axis.
7. Find the number of vertices of a polyhedron
having 10 faces and 12 edges
Answers
Answer:
4
Step-by-step explanation:
Using Euler's rule for polyhedra
F + V - E = 2 ( F - faces, V- vertices, E- edges )
10 + V - 12 = 2
V - 2 = 2 ( add 2 to both sides )
V = 4
Please help! Will mark brainliest
Answers
Answer:
4(5)^2-5= 95
Hope this helps! :)