The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM:MN:NOLM:MN:NO is equal to 3:1:2.3:1:2. If LO=30,LO=30, find LN.LN.
Answer:
[tex]|LN| = 24[/tex]
Step-by-step explanation:
Given
[tex]LM:MN:NO = 3:1:2[/tex]
[tex]LO = 30[/tex]
Required
Find LN
[tex]LN = LM + MN[/tex]
From the ratio, LM = 3 and MN = 1
So:
[tex]LN = 3 + 1[/tex]
[tex]LN = 4[/tex]
LN and NO can be represented as:
[tex]LN : NO = 4 : 1[/tex]
The length of LN is then calculated as:
[tex]|LN| = \frac{LN}{LN+NO}*|LO|[/tex]
[tex]|LN| = \frac{4}{4+1}*30[/tex]
[tex]|LN| = \frac{4}{5}*30[/tex]
[tex]|LN| = \frac{4*30}{5}[/tex]
[tex]|LN| = \frac{120}{5}[/tex]
[tex]|LN| = 24[/tex]
a tree is broken at a height of 6 cm from the ground and its top touches the ground at a distance of 8cm from the base of the tree . find the original height of the tree pls do to step to step explaination
Answer:
I guess its 16
Step-by-step explanation:
Because
Hieght =6cm
Base = 8cm
Hypotenuse=?
by pythagoras formula = a^2+b^2=c^2
6 *6 + 8*8 =c^2
36 + 64 = c^2
100 =c^2
Root of 100 is 10
so the whole tree is = to 10 +6 =16
14. A right cone has a height of 14 in and a base diameter of 17 in.
a Sketch and label a diagram of the cone
b. Determine the area of the lateral surface of the cone, to the nearest square inch
Given:
The height of a right cone = 14 in
Base diameter = 17 in
To find:
The diagram of the cone and its lateral surface area.
Solution:
(a)
The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.
Diagram is not to scale.
(b)
We know that lateral surface of the cone is
[tex]A=\pi rl[/tex]
[tex]A=\pi r\sqrt{r^2+h^2}[/tex] ...(i)
Where, r is the base radius, h is vertical height and l is the slant height of the cone.
Base radius of the cone = [tex]\dfrac{\text{Base diameter}}{2}[/tex]
[tex]r=\dfrac{17}{2}[/tex]
[tex]r=8.5[/tex]
Now,
Putting r=8.5, h=14 and π=3.14 in (i), we get
[tex]A=(3.14)(8.5)\sqrt{(8.5)^2+(14)^2}[/tex]
[tex]A=26.69\sqrt{72.25+196}[/tex]
[tex]A=26.69\sqrt{268.25}[/tex]
[tex]A=437.1379[/tex]
[tex]A\approx 437[/tex]
Therefore, the lateral surface area of the cone is 437 sq. inches.
two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus
Answer:
Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
Step-by-step explanation:
Answer:
Let the adjacent angles of the rhombus be 2x and 3x.
we know that the sum of the measures of the adjacent angles is equal to 180°.
2x+3x=180
=5x=180
=x=180/5
=x=36°
Hence,AB =BC=2×36°=72°
AD=DC=3×36°=108°
Hence,The angles of the rhombus are 72°,108°, 72°and108°.
I hope it's helpful!
Graph the system of equations, and determine
the solution.
X + 2y = 6
2x + 4y = 4
Answer:
X + 2y = 6
first point : ( 0,3 )
second point : ( 4,1 )
third point : ( 2,2 )
forth point : ( 6,0 )
2x + 4y = 4
first point : ( 0,1 )
second point : ( 2,0 )
third point : ( -2,2 )
forth point : ( -4,3 )
1. 50% of 82
2. 10% of 2,350
3. 80% of 40
4. 160% of 30
5. 250% of 2
6. 105% of 260
7. 0.5% of 12
8. 40% of 16.5
9. 75% of 8.4
Help please !!
Answer:
1. 41
2. 235
3. 32
4. 48
5. 5
6. 273
7. .06
8. 6.6
9. 6.3
Step-by-step explanation:
Answer:
1=41
2=235
3=32
4=48
5=5
6=273
7=0.06
8=6.6
9=6.3
circumference and area of radius 42
Answer:
Area = 5542.488 unit^2
Circumference= 263.9 units
Step-by-step explanation:=
Given data
Radius= 42 units
Circumference= 2πr
C= 2*3.142*42
C=263.9 units
Area= πr^2
A= 3.142* 42^2
A= 3.142* 1764
A= 5542.488 unit^2
PLZZ HELP ME IM DOING A TEST RNNNN.
Answer:
5(x)+5(y)=10
10(x)+2(y)=12
Step-by-step explanation:
i just got done with that same thing
On Monday ,bo saw 1/5 of birds listed in his guidebook. on Tuesday he saw 3/5 more of birds. what fraction of the birds in the guidebook did bo see in those two days ?
Answer:
4/5Step-by-step explanation:
That would be 1/5 + 3/5 which equals (1+3)/5 = 4/5
How many solutions does this equation have?
4v = 6v − 2v
no solution
one solution
Infinitely many solutions
Answer:
Infinitely many solutions.
Step-by-step explanation:
4v=6v-2v Combine like terms.
4v=4v These are already equal without diving, so there are infinitely many solutions.
Hope this helps and have a nice day ❤
Answer:
Infinitely many solutions
Step-by-step explanation:
4v=6v-2v
4v=4v
when two expressions on opposite sides of an equals sign are equivalent, that means there are infinitely many solutions
P.S. Please mark me Brainliest if it is correct.
Another name for a cube is
A. dodecahedron
B. hexahedron
C. icosahedron
D. tetrahedron
please help
Answer:
B
Step-by-step explanation:
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply.
Answer:
B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Step-by-step explanation:
P1: 12^2+15^2=20^2 144+225=400 369=400
P2: 16^2+30^2=34^2 256+900=1156 1156=1156
P3: 20^2+21^2=29^2 400+441=841 841=841
P4: 18^2+20^2=26^2 324+400=676 724=676
So the answers are B and E
Answer:
b and e
Step-by-step explanation:
Can someone please help me ASAP
Answer:
Look down below!
Step-by-step explanation:
Fist, make your inequality:
-x + 5y > -10
5y > x - 10
y = .2x - 2
Now, plug in any value of x to find y!
Ex: x = 5...
y = .2 (5) - 2
y = -1
Your first coordinate could be (5, -1)
Hope this helps!
el conjunto solucion de la ecucacion 2x - 6=8x, es
Answer:
English translate please so i can help you?
Step-by-step explanation:
65°
(х + 72)
i need help with x
Answer:
65x+4680
Step-by-step explanation:
(5x-8)
+
(2x+19)
Find the value of x.
OA.5
B.7
C.9
D.11
Answer:
x=9 option C
Step-by-step explanation:
explanation above
Please mark me as brainlist
Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. Write an equation to determine the cost of each bag of dog food
STEP IT OUT:
Answer:
7
Step-by-step explanation:
Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. How much money was each bag of the dog food?
example:
ositive numbers
numbers greater than zero
Negative Numbers
numbers less than zero
Integers
whole numbers and their opposites
Absolute Value
The distance a number is from zero on a number line. ALWAYS POSITIVE
equation
A mathematical sentence that contains an equals sign.
more examples:
9- (-9)=
18
121 / -11
-11
2(n + 5) = −2
-6
9
−9x + 1 = −80
253 + 234=
487
−15 = −4m + 5
5
8n + 7 = 31
3
Hope this helps bsf
What is the formula for the following arithmetic sequence?
-9, -2, 5, 12, ...
an = -9 + 7( n - 1)
an = -9 + (-7)( n - 1)
an = 7 + (-9)( n - 1)
an = 9 + (-7)( n - 1)
Step-by-step explanation:
an = -9 + 7(n-1)
because you start at -9 and go up by increments of 7
I am in need of help
Answer:
The answer is Step 2: m<w + m<z = 180 degrees (suppplmentary angles).
Step-by-step explanation:
First, Step 2 says m<w - m<z = 90 degrees. That's false because the m<w - m<z would equal an acute angle, not a right angle. Secondly, the m<w + m<z = 180 degrees. Supplementary angles equal 180 degrees.
Find The Area of the parallelogram...
Answer:
162 ft^2
Step-by-step explanation:
the formula for finding the area of a triangle is [tex]\frac{b*h}{2}[/tex]
the base is 27 and the height is 12
[tex]\frac{27*12}{2}=\frac{324}{2} = 162[/tex]
The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?
Choose exactly two answers that are correct.
Question 3 options:
The ratio of large to small T-shirts is about 4 to 1.
There are more than 35 small and extra small T-shirts.
There are about twice as many large T-shirts as small T-shirts.
There are fewer than 100 T-shirts in all.
Answer:
medium, extra large
Step-by-step explanation:
BRAINLIEST PLEASE
Fifteen disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed?
Missing information:
[tex]r = 3cm[/tex]
[tex]h = 1cm[/tex]
Options:
(a) [tex]\pi * 3^2 * 15[/tex] (b) [tex]\pi * 3* 15^2[/tex]
(c) 15 times the volume of the disk
(d) The height of the stack multiplied by [tex]\pi r^2[/tex]
Answer:
(b) [tex]\pi * 3* 15^2[/tex]
Step-by-step explanation:
Given
15 identical disks
[tex]r = 3cm[/tex]
[tex]h = 1cm[/tex]
Required
Determine the odd option
The volume of 1 disk is:
[tex]V_1 = \pi r^2h[/tex]
[tex]V_1 = \pi * 3^2 * 1[/tex]
The volume of 15 is:
[tex]V_{15} = 15 * V_1[/tex]
[tex]V_{15} = 15 * \pi * 3^2 * 1[/tex]
[tex]V_{15} = \pi * 3^2 * 15[/tex]
The above equation represents (a), (c) and (d)
Because:
(a): [tex]V_{15} = \pi * 3^2 * 15[/tex]
(c) 15 * volume of the disk: [tex]V_{15} = 15 * V_1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]
(d) height * [tex]\pi r^2[/tex] = h * [tex]\pi r^2[/tex] = [tex]15 * \pi * 3^2 * 1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]
Hence, (b) is the odd option
Use the Proportionality Theorem to solve for X.
The proportion of 16 to 4 is 4 is 1/4 of 16( 4/16 = 1/4)
So x would be 1/4 of 12
12/4 = 3
X = 3
Answer:
Step-by-step explanation:
The proportion of 16 to 4 is 4 so 1/4 of 16( 4/16 = 1/4)
So x would be 1/4 of 12
12/4 = 3
X = 3
Please help me again!
Answer:
144
Step-by-step explanation:
First subtract 180 from 20% of 180.
180 - (20/100 x 180) = 180-36 = 144
in the product rule for exponents, what do you do to the coefficients? what do you do to the exponents?
Answer:
Do not multiply the coefficients and the exponents. Remember, using the Product Rule add the exponents when the bases are the same.
In the product rule of the exponents,
''For same base we can add the exponents of the coefficients.''
What is mean by expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Solve expression by using the product rule for exponents.
Now, We know that;
In the product rule for exponents;
When expression have same base then its exponents are add and the coefficients of expression are written as same as write in expression
Hence, In the product rule of the exponents,
''For same base we can add the exponents of the coefficients.''
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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(−3⋅10^3 )⋅(4⋅10^6)=???
Answer:
-1.19164 x 10^8
Step-by-step explanation:
Find the equation in general form of the circle whose center is at (0,3) and
passing through the point (-2,1).
Answer:
5.0
Step-by-step explanation:
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
O4
O 8
O 32
O 64
Answer:
C. 32
Explanation:
The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Please give Brainliest
Works Cited:
https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.
The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
The square-cube law states that "When an object undergoes a proportional increase in size,
its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.
" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
To learn more on scale factor click:
brainly.com/question/5992872
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Portland, OR is 180 miles away from Seattle, WA. If it takes a driver 3 hours to drive from Portland to Seattle, what is the driver's average rate of speed? ill mark brainliest please help this is my final grade
Answer:
60km/h
Step-by-step explanation:
find the area of the figure
Answer:
24 sq units
Step-by-step explanation:
Answer:
24 square units
Step-by-step explanation:
The boxes that only have a half-shaded in can be counted as 0.5.
If you combine these half-shaded boxes, it will give you 1.
Since there are 8 half-shaded boxes, that equal to 0.5, you can multiply these together and get 4.
Add this to the 20 whole boxes, and you will get 24.
