Answers
Answer:
Pythagorean Theorem: c2 = a2 + b2
Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh
Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.
The total area of the trapezoid is : A1 + A2 = ab + ½c2
You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2
You subtract out the 2ab: a2 + b2 = c2.
Then what is left is the proof: a2 + b2 = c2
Related Questions
Find the measure of each angle indicated.
A D
A) 21°
C) 23°
E 25°
B) 80°
D) 20°
Answers
Let the missing Angle be " x "
We know that Measure of an exterior angle of a triangle is equal to sum of the opposite two interior angles,
that is :
x + 80° = 100°x = 100° - 80° x = 20°value of missing angle = 20°
Plsss help answer the question don’t just get the points and not answer my question Plss I’m struggling
Answers
Answer:
This is cheating
Step-by-step explanation:
First you follow what your teachers tell you to do and listen
I need help lollololol
Answers
Answer & Step-by-step explanation:
37.
Linda walked 3/4 (or 75%) of a track which is 3.5 miles long
Multiply 0.75 by 3.5 to get 2.625 miles (or 2 and 5/8 miles)
38.
We need to multiply the 2 and 3/8 mile track by 2 and a half (2 and 0.5)
1/8 is 0.125
2/8 is 0.25
3/8 is 0.375
The track is 2.375 miles long.
Multiply 2.375 by 2.5
The track will be 5.9375 miles long after 5 years ( or 5 and 15/16 miles)
Step-by-step explanation:
37) ¾×7/2
21/8 miles = 2⅝miles .
38) (19/8×5/2)+19/8
= 95/16+19/8
= 133/16 = 8 5/16 miles .
hope this helps you.
Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +6
1. 11 to the power of 16 x 11 to the power of 1=
2. a to the power of 6 x a to the power of 8 =
3. (-2) to the power of 12 x (-2) to the power of 1=
4. 1.1 to the power of 7 x 1.1 to the power of 9 =
5. 3 to the power of 4 x 5 to the power of 2 =
Answers
Step-by-step explanation:
1. 11 to the power of 16 x 11 to the power of 1
[tex]11^{16}*11^1=11^{16+1}=11^{17[/tex]2. a to the power of 6 x a to the power of 8
[tex]a^6*a^8=a^{6+8}=a^{14}[/tex]3. (-2) to the power of 12 x (-2) to the power of 1
[tex](-2)^{12}*(-2)^1=(-2)^{12+1}=(-2)^{13}[/tex]4. 1.1 to the power of 7 x 1.1 to the power of 9
[tex]1.1^7*1.1^9=1.1^{7+9}=1.1^{16}[/tex]5. 3 to the power of 4 x 5 to the power of 2
Assumed it is both 3 or 5, we take 3
[tex]3^4*3^2=3^{4+2}=3^6[/tex]true or false, two figures are mathematically similar if the angles change by the same scale factor.
Answers
Answer:
true
Step-by-step explanation:
when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.
hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answers
Answer:
C) 1 ¼
Step-by-step explanation:
.25 = ⁴/⁴ ÷ .25 = ¼
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Answer:
The choice C)
[tex]1 \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]1.25 = \frac{5}{4} = 1 \frac{1}{4} [/tex]
I hope I helped you^_^
The distance a car can travel varies directly with the amount of gas in the tank. The car can travel 135 miles with 5 gallons of gas. How many miles can the car travel with 8 gallons of gas? and The value of y varies directly with x. When y=6, x=½. What is the value of x when y=312? please help me.
Answers
Answer:
216
Step-by-step explanation:
135/5=27
27*8=216
4. "Eleven subtracted from the quotient of a
number and five is -13."
How do I write this equation?? HELP
Answers
Answer:
[tex]\frac{x}{5}-11=-13[/tex]
Step-by-step explanation:
11 subtracted ( - 11 ) from the quotient ( division ) of a number ( x ) and 5 is ( = ) -13
[tex]\frac{x}{5}-11=-13[/tex]
you are driving to a friends house at 35 miles per hour and the friend lives 21 miles away. how long to get to the house
Answers
Answer:
35miles/1 hr=21miles/x hr
= x hr* 35miles/1 hr= 21 miles
= x = 21/35 =0.6 hr
So, traveling at 35mph it will take 0.6 hours to travel 21 miles.
If you want time in mins then keep going:
=> 60 mins = 1 hour, 0.6 hours = x mins
60mins/1 hr = x mins/ 0.6 hr
0.6 * 60 mins = 36 mins.
:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph
Step-by-step explanation:
Hello! Please help!!
Answers
Answer:
3 x 6 = 18
Step-by-step explanation:
think it's right. that jump from 6 to 3 might be cause of my downfall.
Answer:
18!
Step-by-step explanation:
Its going down by 1 number, 9 x 10 = 90
8 x 9 = 72
7 x 8 = 56
6 x 7 = 48
3 x 6 = 18
On Tuesday at lunchtime, it was -10°C. By sunset, the
temperature had dropped 14°C.
Answers
Answer:
By sunset the temperature was -24
Step-by-step explanation:
The reason for this is you start off with -10, then the word dropping relates to subtraction, meaning that the equation is -10-14, and when you subtract a negative, you are actually adding to it, so you can drop the negative for now, and you have 10+14 which equals 24, then add the sign back in to get -24C.
Hope This Helps. I would know, figuring I am in High School Statistics.Need help ASAP! Directions in picture;)
Answers
Answer:
it is 8
Step-by-step explanation:
Can anyone help me with this question? please :)
Answers
7.5 squared plus 16 squared which gives you 312.25.
You then have to square root that which equals to 17.67059705.
Then just make it 1dp and it equals 17.7 cm
what is the difference between a categorical and continuous variable?
Answers
Continuous- can take any value in a range
A marathon runner ran the first 5 miles in 32.5 min. If she
continues running at this pace, how long will it take her to run
The entire marathon of 26.2
miles?
Answers
Answer:
It will take her 170.3 minutes to run the entire marathon
Step-by-step explanation:
Use dimensional analysis, the miles will cancel out.
[tex]\frac{26.2 mi}{1}[/tex] × [tex]\frac{32.5 min}{5 mi}[/tex] = [tex]\frac{26.2(32.5)}{5}[/tex]min = 170.3 min
I can’t seem to find the right answer no matter what I try
Answers
Blank2)52cups of lemonade
Blank3) 200 cups of lemonade
Blank4) 64
Blank 1) 4
Blank 2) 5
Blank 3) 14
Blank 4) 1.5
Determine the value of y
Answers
Answer:
C
Step-by-step explanation:
Because [tex]y^{\circ}[/tex] and [tex]134^{\circ}[/tex] both lie on a straight line, they sum to [tex]180^{\circ}[/tex].
So, [tex]y+134=180[/tex].
We can subtract [tex]134[/tex] from both sides of the equation to get [tex]y=46[/tex].
So, the answer is [tex]\boxed{C}[/tex] and we're done!
a rectangular hall is 16 m tall and 12 metre wide. how many marble slabs of size 25 CM X 15cm needed to cover the floor of the hall?
Answers
Answer:
5120 tiles.
Step-by-step explanation:
Do one thing.
Find out the area of the rectangular hall.
Find out the area of the marble slab.
Remember, the units are to be made same.
Now, to know the number of marble tiles required to fill the hall, you just have to divide the area of the hall with the area of the marble tile.
Calculations-
Area of the rectangular hall = length x width = 1600 x 1200 (we converted 'm' to 'cm') = 1920000 sq. cm.
Area of one marble tile = 25 x 15 = 375 sq. cm.
Now you divide the numbers and get 5120 tiles.
using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)
Answers
Step-by-step explanation:
the intersection of the interval: (-∞, 7) and [-5, +∞)
is [-5, 7)
and the union of the interval: (-∞, 7) and [-5, +∞)
is (-oo, +oo)
Please please help me with this question just help me on (C)
Answers
Answer:
move 3 seconds on your x-axis, and find your intersection with you y axis to determine the height h in m.
Am assuming you drew the function...
substitute 3 in the equation
[tex]h=-5({t})^{2} +20t\\ h=-5({3})^{2} +20(3)\\h=60-45=15m[/tex]
Someone help plz make sure it’s right and will make brainiest:)
Answers
The correct answer is y = -x + 3.
Good luck :) !
The temperatures for the week were as follows Sunday 72 Monday 72 Tuesday 85 Wednesday 69 Thursday 72 Friday 80 and Saturday 77 determine the mean rounded to the nearest tenth median mode and range of the results
Answers
Answer:
Mean- 75.3
Median- 72
Mode- 72
Range- 77
Step-by-step explanation:
cos^8a+sin^8a=1-sin^22a+1/8sin^4a
Answers
cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²
=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A
=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴
=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴
//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A
=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴
=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A
=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A
=> 1 - Sin²2A + 1/8Sin⁴2A
=> R.H.S
Donna is collecting stamps. On the first day, she collects 5. On the second day, she collects 9. Each day, she collects 4 more stamps than the day before. How many total stamps will she have after 20 days?
Answers
Answer:
81 stamps
Step-by-step explanation:
Here we will use the AP formula
We know that
a_n = a + (n - 1)d
a = first term = 5
n = number of terms = 20
d = common difference = 9 - 5 = 4
On putting values
=> a_20 = 5 + (20 - 1)4
=> a_20 = 5 + (19)4
=> a_20 = 5 + 76
=> a_20 = 81
Therefore,
She will have 81 stamps after 20 days
[tex]\huge{\purple{\underline{\underline{\sf{\pink{ANSWER:-}}}}}}[/tex]
Here we have,
first term (a) = 5no. of terms (n) = 20 common difference (d) = 9 - 5 = 4[tex]\implies\tt{a_n = a + (n - 1) \times d} \\ \\ \implies\tt{a_20 = 5 + (20 - 1) \times 4} \\ \\ \implies\tt{a_20 = 5 + 19 \times 4} \\ \\ \implies\tt{a_20 = 5 + 76} \\ \\ \implies\tt{a_20 = 81}[/tex]
Hence, there will be 81 stamps after 20 days.Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?
Question options:
2 units
12 units
4 units
6 units
Answers
The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.
Then the length of line segment DE will be
We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have
BC = 2BE
Then the ratio of their corresponding sides will be
BE/BC = DE/AC
BE/2BE = DE/24
DE = 24/2
DE = 12
Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
3/2(4x – 1) – 3x = 5/4 – (x + 2)
Answers
Hope it helps!
Brainliest would be nice but you don’t have to :)
the population of london city is 11400. write this in scientific notation
Answers
Answer:
1.14 x 10x4
Step-by-step explanation:
thats is correct i just did the test
Define the following terms and give an example of each. 1) Exponent 2) Base 3) Power 5) Expanded form 6) Standard form 4) Exponential form plzzzzzzz help me plzz
Answers
Answer:
Exponent - "a quantity representing the power to which a given number or expression is to be raised"
Base - "The number that gets multiplied when using exponents"
Power - "The number of times you use the number in multiplication"
Expanded Form - "A way to write a number by adding the value of its digits"
Standard form - "A way of writing down very large or very small numbers easily."
Exponential form - "a shortcut way of writing repeated multiplication involving base and exponents"
what is the slope of the number set of 4,1 and 4,8?
Answers
Answer:
The entered points belong to a vertical line. There is no slope.
Step-by-step explanation:
HELP PLEASE ASAP HELP!!!!!!!!!!
AWARD: 100 POINTS GIVEN!!!!!!!!
Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 850 points. The number of two-point field goals that Lindsey made was 57 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 41 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season.
Answers
Answer:
She made 138, 179 two point field goals and 118
3-point field goals during the regular season
Step-by-step explanation:
Answer:
118, 138, and 179 points
Step-by-step explanation:
x = 3-point goals
2-point goals = 2x - 57
free throws = 2x - 57 - 41
3x + 2x * (2x - 57) + (2x - 57 - 41) = 850
3x + 4x - 114 + 2x - 98 = 850
9x = 1062
x = 118
2x - 57 = 2 * 118 - 57 = 179
2x - 57 - 41 = 138