Aug 14, 8:23:51 PM
What is the total area, in square centimeters, of the shaded sections of the trapezoid
below?
6.1 cm
9.5 cm
6.2 cm
8.1 cm
Hey there! I'm happy to help!
First, let's find the area of the total trapezoid. To do this, you add the top and bottom side, divide it by two, and then multiply by the height.
We add up the values that make up the top side so we can find find its length.
6.1+8.1+9.5=23.7
The bottom side is 8.1
We add the top and bottom sides.
23.7+8.1=31.8
We divide by 2.
31.8/2=15.9
We multiply by the height, which we can see is 6.2
15.9×6.2=98.58
Now, we find the area of the rectangle that isn't shaded.
6.2×8.1=50.22
We subtract this from the total area of the trapezoid to find the total area of the two shaded triangles.
98.58-50.22=48.36
Therefore, the shaded regions have a total area of 48.36 cm².
Have a wonderful day! :D
.0091 the neatest thousandths
Answer:
the answer is .009 rounded to the nearest thousandths
2sec^20 - sec^40 - 2cosec^20 + cosec^40 = cot^40 - tan^40
'0' is theta .
Pls help me out with this
Answer:
From the RHS:
Cot^4θ-tan^4θ
=(cos^2θ/sin^2θ)*(cos^2θ/sin^2θ)-(sec^2-1)*(sec^2-1)
=(1-sin^2θ)/(sin^2(θ))*(1-sin^2θ)/(sin^2(θ))-(sec^4θ+2sec^2θ+1)
=(cosec^2θ-1)*(cosec^2θ-1)-sec^4θ+2sec^2θ-1
=cosec^4θ-2cosec^2θ+1-sec^4θ+2sec^2θ-1
=cosec^4θ-2cosec^2θ-sec^4θ+2sec^2θ
=LHS
Step-by-step explanation:
Answer: see proof below
Step-by-step explanation:
Use the following Pythagorean Identities:
sec²A = tan²A + 1
csc²A = 1 + cot²A
Use group factoring: a(x + y) + b(x + y) = (a + b)(x + y)
Proof LHS → RHS
Given: 2sec²Ф - sec⁴Ф - 2csc²Ф + csc⁴Ф
Pythagorean: 2(tan²Ф + 1) - (tan²Ф + 1)² + -2(1 + cot²Ф) + (1 + cot²Ф)²
Group Factoring: (tan²Ф + 1)(2 - tan²Ф - 1) + (1 + cot²Ф)(-2 + 1 + cot²Ф)
Simplified: (tan²Ф + 1)(1 - tan²Ф) + (1 + cot²Ф)(cot²Ф - 1)
Multiplied: tan²Ф - tan⁴Ф + 1 - tan²Ф + cot²Ф - 1 + cot⁴Ф - cot²Ф
Simplified: 1 - tan⁴Ф + cot⁴Ф - 1
= - tan⁴Ф + cot⁴Ф
= cot⁴Ф - tan⁴Ф
cot⁴Ф - tan⁴Ф = cot⁴Ф - tan⁴Ф [tex]\checkmark[/tex]
What does the remainder theorem conclude given that f(x)x+5 has a remainder of 17? Enter your answer by filling in the boxes.
Answer:
f(-5)=17
Step-by-step explanation:
Took the quiz.
The remainder theorem is an easy way of calculating the remainder from polynomial division.
The conclusion of remainder theorem, here is that: [tex]f(-5) = 17[/tex]
We have:
[tex]\frac{f(x)}{x + 5}[/tex] and a remainder of 17
The general rule of the remainder theorem is that:
For [tex]\frac{f(x)}{x + a}[/tex] and a remainder of b
It means:
[tex]f(-a) = b[/tex]
By comparing
[tex]\frac{f(x)}{x + a}[/tex] and [tex]\frac{f(x)}{x + 5}[/tex]
It means:
[tex]a = 5[/tex] and [tex]b = 17[/tex]
So:
[tex]f(-a) = b[/tex] becomes
[tex]f(-5) = 17[/tex]
Hence, the conclusion is that:
[tex]f(-5) = 17[/tex]
Read more about remainder theorems at:
https://brainly.com/question/13416073
Luna makes $500 per 4 hours and Kelly makes $490 per 3 hours
Luna works 8 days and Kelly works 10 days
Who makes more money?
Answer:
Kelly earns more.
Step-by-step explanation:
Find how much Luna makes first.
24hx8days=192 hours
Then put the 192 hours into groups of 4.
192h/4h=48
Now, we take 48 x 500 to find how much Luna makes.
48x$500=$24000
Now, we have found how much Luna makes. Now, we find how much Kelly makes.
24hx10d=240h
Then put the 240 hours in groups of three.
240h/3h=80
Now, we take 80x$490
80x$490=$32900
(disclaimer: This method is what i use, i always come up with them takes me super long)
Did Leonardo de Vinci invent the scissors ?
Answer: Many people mistakenly give credit to Leonardo da Vinci for inventing scissors. Although da Vinci was brilliant, scissors were around for a long time before him. Some historians believe scissors were invented in the Middle East as long as 3,000-4,000 years ago.
Step-by-step explanation: Leonardo da Vinci
Scissors of the kind used today are believed to have been first made in 1 A.D in Rome. Some historians believe that Leonardo da Vinci is the inventor, for he had used it for cutting canvas. Although this view has not been widely accepted, Da Vinci helped to spread the popularity of scissors.
Hope this helps^^
Answer:
Apparently he isnt....
The points (-7,-8) and (8,-8) fall on a particular line. What is its equation in slope-intercept form?
Solve 5n + 6 = -3n - 10
Hi there! :)
Answer:
[tex]\huge\boxed{n = -2}[/tex]
5n + 6 = -3n - 10
Solve for n:
Add 3n to both sides:
5n + 3n + 6 = -3n + 3n - 10
8n + 6 = -10
Subtract 6 from both sides:
8n + 6 - 6 = -10 - 6
8n = -16
Divide both sides by 8:
8n/8 = -16/8
n = -2.
Answer:
n= -2
Step-by-step explanation:
Adam borrowed $17 from his brother on Monday, and then an additional $5 on Tuesday. How much money will Adam have to pay his brother in order to be free of debt?
Answer:
$23
Step-by-step explanation:
Answer:
$23 is how much he will owe
Tibet Mein kheti Karne Ka Tarika
Answer:
Step-by-step explanation:
GO TO TIBET AND DO KHETI AS YOU DO IN "INDIA"
Answer:
Terrence farming, removing snow use stronger tools ,heavy machines, wait for the weathering of rocks
please mark as brainliest
Anyone? Know how to do this?
Answer:
x = 4length = 19 ftwidth = 11 ftStep-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
two years ago a woman was 7 times old as her daughter, but in 3 years time she would be 4 times old as the girl. how old are they now
Let present age of women be x.
Then,Present age of her daughter be y.
According to the question,
Two years ago,
Woman age = x - 2
Her daughter age = y - 2
Woman was 7 times old as her daughter. [ Given ]
x - 2 = 7 ( y - 2 )
=> x - 2 = 7y - 14
=> x - 2 + 14 = 7y
=> x + 12 = 7y ....( i )
After Three years ,
Woman age = x + 3
Her daughter age = y + 3
she would be 4 times old as the girl. [ Given ]
x + 3 = 4 ( y + 3 )
=> x + 3 = 4y + 12
=> x = 4y + 12 - 3
=> x = 4y + 9....( ii (
Now,
★ Putting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get
x + 12 = 7y
=> 4y + 9 + 12 = 7y
=> 21 = 7y - 4y
=> 21 = 3y
=> 3y = 21
=> y = 21/3
=> y = 7
And,
x = 4y + 9
★ Putting the value of y in equation ( ii ), we get
x = 4 × 7 + 9
x = 28 + 9
x = 37
Hence, the present age of women is 37 years and her daughter age is 7.
A wise man once said, "500 reduced by twice my age is 340." What is his age?
Answer:
500 - 2a = 340
500 - 2a - 500 = 340 - 500
-2a = -160
-2a/-2 = -160/-2
a = 80
Step-by-step explanation:
How to learn the ratio of standard angles of right angled triangle [ like sin 90=?, cos 30=?]....??
Answer:
just learn the sin value of all the degrees
the cos values are opposite to the sin values example sin 30 degree = cos 60 degrees. and sin 45 and cos 45 remains same . use the same logic for tan and cot and also for sec and cosec . tan values are sin degrees / cos degrees
Can someone please help me .
Answer:
l=(P-2W)/2 (first answer choice lol)
Step-by-step explanation:
There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?
Answer:
dihdvsjhvbsuhdsvubhjvdhbdsvhbdsvhbkvdshbds
Step-by-step explanation:
DJ CUCRACH AAE SLAHTI8AOS
Simplify: 2 - 6x + 8x3 + 1 = 23
the answer x=8.5
if ur trying to solve for x
8.8 + 7.8x = -7.9 - 5.5x
Round to the nearest tenth
Answer:
The value of x in this equation is -1.3
Step-by-step explanation:
8.8 + 7.8x = -7.9 - 5.5x
Subtract 8.8 on both sides of the equation.
7.8x = -16.7 - 5.5x
Add 5.5x on both sides of the equation.
13.3x = -16.7
Divide 13.3 on both sides of the equation. Don't forget to round to the nearest tenth.
x = -1.3
Answer:
x = -1.3
Step-by-step explanation:
8.8 + 7.8x = -7.9 - 5.5x
Add 5.5x to each side
8.8 + 7.8x+5.5x = -7.9 - 5.5x+ 5.5x
8.8+13.3x = -7.9
Subtract 8.8 from each side
8.8 + 13.3x - 8.8 = -7.9 - 8.8
13.3x = -16.7
Divide by 13.3
x = -16.7/13.3
x =-1.255639098
Rounding to the nearest tenth
x = -1.3
Pls help with this immediately!!!! Under 15 minutes!!!! Offering more than 5 points !!!
Identify as growth or decay, the initial value and the growth and decay factor, then find f(3)
growth
Step-by-step explanation:
3 (.25)= .75
multiply 3 into the .25 and it's a positive number so it's increasing
Please help me
Find x
Your question has been heard loud and clear.
This is a right triangle , which means it has a hypotenuse ( longest side of the triangle)
X is the length of the hypotenuse. We need to find x.
By Pythagoras theorem ,
Side^2+side^2= Hypotenuse^2
2.5^2+3^2= x^2
= 6.25+9=x^2
15.25=x^2
So , x = root of 15.25 = 3.9
Therefore , x= 3.9
Thank you
Answer:
[tex]\huge \boxed{\mathrm{3.91 \ m}}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
The hypotenuse length of the right triangle is not given.
We can use Pythagorean theorem to solve for the hypotenuse.
[tex]c=\sqrt{a^2 +b^2 }[/tex]
c is the hypotenuse length of the right triangle.
a and b are the legs of the right triangle.
[tex]x=\sqrt{3^2 +2.5^2 }[/tex]
Evaluate and solve for x.
[tex]x=\sqrt{9+6.25}[/tex]
[tex]x=\sqrt{15.25}[/tex]
[tex]x= 3.905125...[/tex]
What is the value of x in the equation 4x + 8y =40, when y=0.8
Answer:
x= 8.4
Step-by-step explanation:
y=0.8
4x + 8y =40
4x + ( 8 x 0.8) = 40
4x + (6.4) =40
4x = 40 - 6.4
4x = 33.6
x = 8.4
help please brainliest
Answer:
34. E 2 1/2
36. C 6cm
Step-by-step explanation:
34. ABC's triangle has 4, as it is equivalent to ADE's triangle's 10. I added 4 and 6 because the whole triangle shown is ADE. Then I did 10/4.
36. The reasoning is that on the other side, there is 9cm and 6cm which is equivalent to AB and 4cm
It goes like: 9/6 = AB/4
9 times 4 equals 36, and 36 divided by 6 is 6. Therefore the answer is 6cm.
Answer:
which one should we solve and you are from my school now a secondary school it is Michael in jss3 daisy meet me tomorrow but which questions should I solve
I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount. Write the SIMPLIFIED expression to represent this scenario. *
Answer:
3.52x
Step-by-step explanation:
Let
Quantity of tickets=4
Price of tickets=x
Discount=12%
This means, you will pay 100% -12%
=88%
Total amount payable=discount (quantity * price)
= 88% ( 4 * x )
= 0.88 (4x)
= 3.52x
In a direct or linear relationship, as one variable increases, what happens to the other variable?
It increases
Answer:
In general direct variation suggests that two variables change in the same direction. as one variable increases the other also increases and as one decreases the other also decreases.
Step-by-step explanation:
i hope this helps.
Find CD and EF. Then determine if CD is congruent to EF.
Answer:
A
Step-by-step explanation:
a. CD = [tex]\sqrt{13}[/tex], EF = [tex]\sqrt{13}[/tex], CD≅EF
How to find CD & EF ?
If [tex](x_{1}, y_{1})[/tex] & [tex](x_{2}, y_{2})[/tex] are co-ordinates of two points then the distance between this two points = [tex]\sqrt{(x_{2}- x_{1}) ^{2}+ (y_{2}- y_{1} )^{2} }[/tex]
Here, Point C = (0, 4) & Point D = (3, 2)
Then CD = [tex]\sqrt{(3-0)^{2} +(2-4)^{2} }[/tex] = [tex]\sqrt{3^{2} +(-2)^{2} }[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]
And Point E = (-2, 1) & Point F = (-4, -2)
Then EF = [tex]\sqrt{((-4)-(-2))^{2}+ ((-2)-1)^{2} }[/tex]= [tex]\sqrt{(-2)^{2} +(-3)^{2} }[/tex]= [tex]\sqrt{4+9}[/tex]= [tex]\sqrt{13}[/tex]
Is CD & EF congruent ?We know that, if two line segment have same length, they are congruent.
Here CD = EF = [tex]\sqrt{13}[/tex]
Since CD & EF have same length, so CD is congruent to EF.
Learn more about congruence of two lines here :
https://brainly.com/question/15580358
#SPJ2
What is the product of the coordinates of the midpoint of a line segment with endpoints at $(2,3)$ and $(-6,5)$?
Translate the verbal phrase to algebra:
5 more than a number
Answer:
x+5
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{x+5}[/tex]
Step-by-step explanation:
Let the number be x.
5 more than x.
The verbal phrase to algebra:
x + 5
Sam counted 12 liters of hand sanitizer in the storage cabinet I lefills tihe
dispensers in seven of the examination rooms as follows: 350 ml, 600
ml, 475 ml, 580 ml, 650 ml, 720 ml, and 500ml
After filing the dispensers how many liters of sanitizer remain in the storage cabinet?
Answer:
8.125 Litres
Step-by-step explanation:
Given:
Initial volume of hand sanitizer in the storage = 12 litres
Volume of dispensers:
350 ml
600 ml
475 ml
580 ml
650 ml
720 ml and
500 ml
To find:
Volume of sanitizer left after filling all the dispensers = ?
Solution:
The volume of sanitizer left can be calculated by subtracting sum of volumes of all the dispensers from the Initial total volume of the storage cabinet.
First of all, let us convert them into the same units i.e. litres.
We know that 1 Litre = 1000 ml
So,
350 ml = 0.350 Litres
600 ml = 0.600 Litres
475 ml = 0.475 Litres
580 ml = 0.580 Litres
650 ml = 0.650 Litres
720 ml = 0.720 Litres
500 ml = 0.500 Litres
Total volume of dispensers = 0.350 + 0.600 + 0.475 + 0.580 + 0.650 + 0.720 + 0.500 = 3.875 Litres
Let us subtract the total volume of dispensers from the initial volume of storage cabinet to find the volume remaining the storage cabinet.
Volume that remain in the storage cabinet = 12 - 3.875 = 8.125 Litres
Please answer I will give you brainliest!!! Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5
Answer:
one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)
other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)
Step-by-step explanation:
ratio of the angles 6:5
when you draw diagonal inside a rhombus it creates four right angled triangle
one angle=90
6x+5x=90 ( the other angles is complimentary)
11x=90
x=90/11
one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)
other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)