Answer:
Formula for an opened end of a cylinder =
[tex]\pi r^2 +2\pi rh\\[/tex]
Closed at both end =
[tex]2\pi r^2 +2\pi r h[/tex]
Opened at both end =
[tex]2\pi rh[/tex]
Step-by-step explanation:
If JK = 28, JL = 20, KL = 13, and ML = 22, calculate NL. Image not set to scale.
Answer:
NL = 440 /13 or 33.85 (to two decimals)
Step-by-step explanation:
Consider triangles JKL and NML
angle JLK = angle NLM vertical angles
angle KJL = angle MNL given
Therefore triangles JKL and NML are similar
By proportion of corresponding sides of similar triangles,
NL / JL = LM / LK
Substitute given values
NL / 20 = 22 / 13
solve for NL
NL = 20*22 / 13 = 440 /13 or 33.85 (to two decimals)
Answer:
[tex]\huge \boxed{33.85}[/tex]
Step-by-step explanation:
JL is similar to NL. KL is similar to ML.
We can use ratios to solve.
JL/KL = NL/ML
Let the length of NL be x.
20/13 = x/22
Cross multiply.
13 × x = 22 × 20
13x = 440
Divide both sides by 13.
(13x)/13 =440/13
x = 440/13 = 33.846154...
For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5
Answer:
The correct option is;
D x + y ≤ -4, 3·x + 2·y ≤-5
Step-by-step explanation:
A. For the system of inequality, x + y < -4, 3·x + 2·y <-5
We have;
y < -4 - x, When x = 3, y < -7
y < -2.5 - 1.5·x, When x = 3, y = -7
B. For the system of inequality, x + y ≤ -4, 3·x + 2·y <-5
We have;
y ≤ -4 - x, When x = 3, y ≤ -7
y < -2.5 - 1.5·x, When x = 3, y < -7
C. For the system of inequality, x + y < -4, 3·x + 2·y ≤-5
We have;
y < -4 - x, When x = 3, y < -7
y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7
D. For the system of inequality, x + y ≤ -4, 3·x + 2·y ≤-5
We have;
y ≤ -4 - x, When x = 3, y ≤ -7
y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7
Therefore, the system of inequality for which (3, -7) is a solution is D, x + y ≤ -4, 3·x + 2·y ≤-5.
maggie’s brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie
Answer:
I HOPE IT WILL WORK
Step-by-step explanation:
let age of Maggie =x years
as given that Maggie brother is 3 year less than twice of her age
hence
brother = (2x-3) years
also given that sum of ages =24
hence
x+(2x-3)=24
3 x-3=24
3 x=27
x=9 years Maggie
so his brother=9-3=6 years
pls hit the star and brainlist it if you found it helpfull thanks
Is there an association between favorite core subject and favorite elective? If so, describe it.
Answer:
Yes
Step-by-step explanation:
Take note that a favorite core subject represents subjects that are widely recognized as important to the student's line of study, they include subjects like Maths, English, Science, and Engineering.
While Elective subjects are optional subjects that are deemed less important than the core, but by choosing one's favorite elective subject shows that individual places a certain level of importance that is almost that of the core subject.
What is the numerical coefficient of the linear term of the quadratic equation 3x2 − 9 =0?
Answer:
0
Step-by-step explanation:
The numerical coefficient of the linear term of the quadratic equation is 0 because there is no linear term, and 0 times any number or term is 0, or nothing.
The digits of a 2 digit number differ by 3. Is the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the number?
Answer:
58
Step-by-step explanation:
Hello, let's note the two digits a and b. the first number 'ab' can be written as 10a +b. For instance if this is 24 it can be written 20 + 4.
If the digits are interchanged the number become 'ba' so 10b + a
We can say that 10a + b + 10b + a = 143
11(a+b)=143
We divide by 13 both sides and we take
a+b = 143/11 = 13
and we know that the digits differ by 3 so b = a + 3
then a + b = a + 3 + a = 2a + 3 = 13
so 2a = 10 and then a = 5
Finally, b = 5+3=8 so the number is 58.
And we can verify that 58 + 85 = 143.
Thanks
Answer:
Let the unit digit be x and tens digit be x + 3Therefore, the original number = 10(x + 3) + xOn interchanging, the number formed = 10x + x + 3❍ According to Question now,
➥ 10(x + 3) + x + 10x + x + 3 = 143
➥ 10x + 30 + 12x + 3 = 143
➥ 22x + 33 = 143
➥ 22x = 143 - 33
➥ 22x = 110
➥ x = 110/22
➥ x = 5
__________________...Therefore,
The unit digit number = x = 5
The tens digit number = x + 3 = 5 + 3 = 8
__________________...The original number = 10(x + 3) + x
The original number = 10(5 + 3) + 5
The original number = 50 + 30 + 5
The original number = 85
Hence,the original number is 85.
On a plane trip, baggage over 40 pounds is
charged at the rate per pound of 1% of the one-
way fare. The charge for a bag weighing 52
pounds on a trip where the one-way fare is $98
is:
HELP PLEASEE!! QUICK!!
Answer:
$11.76
Step-by-step explanation:
Given:
Baggage having its weight greater than 40 pounds is charged at rate of 1% of the one-way fare .
Here, as per statement One way fare of a trip = $98
Weight of bag on that trip = 52 pounds
To find:
Charge for bag for this trip = ?
Solution:
Weight greater than that of 40 pounds = Given total Weight of baggage - 40 pounds
As per the given statement:
Weight greater than that of 40 pounds = 52 - 40 pounds = 12 pounds
Charges on extra baggage = weight in pounds more than 40 multiplied by 1% of one-way fare.
Given that this trip has one way fare = $98.
The charge for a bag weighing 52 pounds = 1% of 98 \times 12
[tex]\Rightarrow \dfrac{1}{100}\times 98 \times 12\\\Rightarrow 98 \times 0.12\\\Rightarrow \bold{\$11.76}[/tex]
So, the answer is $11.76.
Please answer now question
Answer:
1664 yd²Step-by-step explanation:
P = 2•(¹/₂•24•16) + 2•(20•20) + 24•20 = 384 + 800 + 480 = 1664 yd²
Determine if the triangles are congruent.
Answer:
Answer to number 3:
Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.
trigonometry help got one right need help with another
Answer:
B. [tex] \frac{HI}{GI} [/tex]
Step-by-step explanation:
The trigonometric ratio formula for tangent of any angle in a right triangle is given as:
tan(θ) = [tex] \frac{opposite}{adjacent} [/tex]
Note: it is the length of the side opposite to the θ, and the length of the side adjacent to θ.
Thus, in the right triangle given, ∆GHI,
θ = <G
The length of side the opposite <G = HI
The length of the side adjacent to <G = GI
Therefore, the equivalent of tan(<G) = [tex] \frac{HI}{GI} [/tex]
Which phrase best describes the relationship indicates by the scatter plotting?
Answer: negative correlation
Step-by-step explanation: If you look at the points in this graph here, I would say that those points are very close to a perfect line.
Notice that the slope of the line is negative.
This means it will be a negative correlation.
So the line is a very good estimate of the points.
How to do this question plz answer me step by step plzz plz
Answer:
196
Step-by-step explanation:
Surface area of a cuboid:
2 ( lw + wh + hl)
L = Length
W = Width
H = Height
Area of the base = 30 = lw; So we could take the length as 15 cm and width as 2 cm.
Volume = lwh; 15 x 2 x (4); So 4 is the height
So, 2 ( lw + wh + hl)
= 2 (15 x 2 + 2 x 4 + 4 x 15)
= 2 (30 + 8 + 60)
= 2 (98)
= 196 is the surface area of cuboid
which of the following are remote interior angles of <6? check all that apply
Answer:
C. <3, E. <1
Step-by-step explanation:
A triangle has 3 vertices, so it has exactly 3 interior angles, one at each vertex.
A triangle has 2 exterior angles at each vertex, so a triangle has 6 exterior angles. Each exterior angle is adjacent to an interior angle. The interior angles that are not adjacent to an exterior angle are that exterior angle's remote interior angles.
<6 is an exterior angle of the triangle. <5 is the other exterior angle at that vertex. <2 is an interior angle of the triangle and is adjacent to <6, so <2 is not a remote interior angle to <6.
The other two interior angles of the triangle are <1 and <3.
<1 and <3 are interior angles that are not adjacent to <6, so they are the remote interior angles to <6.
Answer: <1, <3
help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Answer:
72
Step-by-step explanation:
As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.
Therefore the rectangular prism will have a volume of 2 [tex]*[/tex] 4 [tex]*[/tex] 9
2 [tex]*[/tex] 4 [tex]*[/tex] 9 = 8( 9 ) = 72 cubic units
Solution : 72 unit cubes
Please help me answer I need an answer asap:3
Answer:
please mark my answer brainliest
Step-by-step explanation:
it's 115
Answer:
115 degrees.
Step-by-step explanation:
< DBC = (180 - 40) / 2 = 70 ( as it is a base angle of an isosceles Δ)
< EBD = 45 degrees ( as the diagonal of a square bisects 90 degree <).
So < EBC = 70 + 45 = 115 degrees.
Complete the conditional statement. If 2 > -a, then _____.
Well, in this case we can take a as the protagonist.
We can, for example, take the a in the first member of the disequation, the 2 in the second one, changing the signs
so
+ 2 > - a
a > - 2
In fact,
"If 2 > - a, then a > -2."
Calculate:
a) QR
b) PS
c) The area of quadrilateral PQRS
Greetings from Brasil...
For QR: we need to use the Sine Law in Any Triangle....
QS/SEN 72 = QR/SEN 25
6/SEN 72 = QR/SEN 25
6,3 = QR/SEN 25
QR = 2,66For PS: we need to use the Cosine Law in Any Triangle....
PS² = PQ² + QS² - 2.PQ.QS.COS Q
PS² = 7,4² + 6² - 2.(7,4).6.COS 34
PS² = 90,76 - 73,61
PS = √17,14
PS = 4,14For area we use Heron's Formula 2x.....
for ΔQRS = A1:
A1 = √[P.(P - QR).(P - RS).(P - QS)]
where P = (QR + RS + QS)/2
A1 = √[P.(P - QR).(P - RS).(P - QS)]
RS = 6,26 (using RS/SEN 97 = QS/SEN 72)
P = (2,66 + 6,26 + 6)/2
P = 14,92/2 ⇒ P = 7,46
A1 = √[7,46.(7,46 - 2,66).(7,46 - 6,26).(7,46 - 6)]
A1 = 7,92
for ΔPQS = A2:
A2 = √[P.(P - PQ).(P - PS).(P - QS)]
P = (7,4 + 4,14 + 6)/2 = 8,77
A2 = √[8,77.(8,77 - 7,4).(8,77 - 4,14).(8,77 - 6)]
A2 = 12,41
Total Area = A1 + A2
Total Area = 7,92 + 12,41
Total Area = 20,33see more:
https://brainly.com/question/17138076
if A+B+C=π prove that sinA+sinB+sinC=4cosA/2 cosB/2 cosC/2
Answer:
oyo archer comes here in answer your real answer it is 7 divided by 7 divided / 2 / to the answer X to other words if you're into Google with answers in churches of students
PLS HELP ME ANSWER THIS QUESTION I DONT UNDERSTAND IT I WILL GIVE BRAINLIST AND A THANK YOU!!!!
Answer:
x=150°
Step-by-step explanation:
Using the vertical angle theorem, you can infer that AEC and DEB are in fact the same angle, 20°, and the same goes for FED and CEG, both 130°.
So, x spans AEC and CEG so is 20° + 130° = 150°
A restaurant wanted to track how much of a quart of soda customers drank at a meal. The line plot displays the data collected by the restaurant. How much more soda did the customers who drank 3/4 of a quart drink than the customers who drank 1/4 of a quart?
Answer:
C
Step-by-step explanation:
13/4 simplified---->3and 1/4
which one represents translation
Answer:
The third one
Step-by-step explanation:
Translation is when it moves
what is 3/8 as a proportional ratio fraction
[tex]\sqrt{\frac{4e}{3f} }[/tex]
Answer:
2√e√3√f / 3f
Step-by-step explanation:
√4√e / √3√f
2√e / √3√f * (√3√f / √3√f)
2√e√3√f / 3f
Jayde is wrapping a cube shape present that is 14 inches tall. How much wrapping paper will be needed to wrap the whole present?
Answer:
1176in^2
Step-by-step explanation:
find the surface area of the cube
(14*14)6=1176 inches cubed
14*14 is finding the area of one side and then we multiply it by six because that's how many congruent sides there are
Answer:
[tex]\large\boxed{1,176 in^{2} }[/tex]
Step-by-step explanation:
The cube is 14 inches tall
All of the sides in a cube are the same, which means:
Length = 14 inches
Width = 14 inches
Height = 14 inches
There are 6 sides in a cube. Each side has a length and a width.
We can use the following formula to find the surface area (SA) of the cube, or how much wrapping paper Jayde will use.
SA = # of Sides(Length(Width))
Plug in known values
SA = 6((14)(14))
The 14s represent the length and width while the 6 represents the number of sides in the cube.
Solve/Simplify
SA = 6(196)
SA = 1,176 inches²
Jayde will need to use 1,176 in² of wrapping paper to wrap the whole present.
Hope this helps :)
What is the measure of angle B?
Answer:
b = 60
Step-by-step explanation:
The sum of the angles of a triangle are 180
80+40+b = 180
Combine like terms
120+b =180
Subtract 120 from each side
b = 180-120
b = 60
Answer:
60°
Step-by-step explanation:
Recall that all triangles have an interior angle sum of 180. In other words:
[tex]\angle A+\angle B +\angle C = 180[/tex]
Plug in the angle values we know:
[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]
Which of the following functions is neither even nor odd? A. f(x)=x6−3x4−4x2 B. f(x)=2x3−3x2−4x+4 C. f(x)=x5−2x3−3x D. f(x)=6x5−x3
even function : [tex] f(x)=f(-x)[/tex] , odd function: $f(x)=-f(-x)$
it is neither odd nor event when both condition don't hold.
See option B.
$f(x)=2x^3-3x^2-4x+4$
$f(-x)=-2x^3-3x^2+4x+4=-(2x^3+3x^2-4x-4)$
clearly, it is neither odd nor even.
Find the measure of a.
Answer:
50 degrees
Step-by-step explanation:
We know that an inscribed angle in a circle is 1/2 the arc that it inscribes. So, therefore the arc is inscribed by the 25 degrees is 50. Assuming that the center of the circle is O, the center angle will be the arc measure. Knowing this, angle a is 50 degrees. If you're curious about all these theorems, they can be proved using similar triangles.
fyi, using the same logic, angle b is 25 degrees
A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7. How much money did the class earn by selling tickets to the play?
Answer:
722059884 if there are 232323 students
if there are 23 students its 71484
Step-by-step explanation:
hope this helps
Answer: The answer is 644
Step-by-step explanation:
23x4x7=644
Maya wrote the expression 3 + 5 + 4.5 to represent the total distance that she traveled. Which statement best describes Maya’s expression?
Answer:
A is the answer .Step-by-step explanation:
You can add the numbers in different ways but still get the same answer.
1. 3 + 5 + 4.5 = 12.5
2. 5 + 3 + 4.5 = 12.5
3. 3 + 4.5 + 5 = 12.5
4. 5 + 4.5 + 3 = 12.5
5. 4.5 + 5 + 3 = 12.5
6. 4.5 + 3 + 5 = 12.5
These a couple of different ways you can add the numbers to get the same answer. This shows proof of how the associative property is related and gets you the correct answer no matter how the numbers are positioned.
P.S - You can solve this for different numbers.
Hope this helped,
Kavitha
Find the values of the apple, banana and lollypop below.
Pls help
Answer:
a= Apple = 3
b= Banana =5
v= Lollypop=1
Step-by-step explanation:
36 is divided into 2 giving us 18
Let apple=a
Banana=b
Lollypop=c
In the first half
An apple + 3 bananas=18
a+3b=18 (1)
Second half is further divided into 2
That is,
18÷2=9
First half of the second half
3apples=9
3a=9 (2)
Second half of the second half
1 apple + 1 banana + 1 lollypop=9
a+b+c=9 (3)
a+3b=18 (1)
3a=9 (2)
a+b+c=9 (3)
From (2)
3a=9
Divide both sides by 3
a=9/3
a=3
Substitute a=3 into 1
a+3b=18
3+3b=18
3b=18-3
3b=15
Divide both sides by 3
b=15/3
=5
b=5
Substitute the value of a and b into (3)
a+b+c=9
3+5+c=9
8+c=9
c=9-8
c=1
Therefore,
a= Apple = 3
b= Banana =5
v= Lollypop=1