Final answer:
The measure of angle RSM is calculated to be 45 degrees.
Explanation:
The problem involves a triangle RSM where angle SRM is twice the measure of angle RSM, and a point O on side RS such that SO=SM.
Given that the length of the angle bisector of angle RMS equals RO, we seek to determine the measure of angle RSM.
Since the problem is based on the properties of triangles and angle bisectors, and it does not provide enough information to use standard geometric methods, we infer that the triangle RSM must be an isosceles triangle.
This is because SO=SM, which implies that angles RSM and RMS are equal.
Since SRM is twice RSM and the sum of angles in a triangle is 180 degrees, we can set up the equation
2x + x + x = 180,
where x is the measure of angle RSM.
Solving, we get 4x = 180, so x = 45 degrees.
Therefore, the measure of angle RSM is 45 degrees.
Need help with this
Answer:
6.169
-1.009= 5.1 48
Step-by-step explanation:
I did it backwards
Answer:
Top = 6.157 bottom =5.148
Step-by-step explanation:
Here is the histogram of a data distribution,
'
Which best describes the shape of this distribution?
A. Unimodal symmetric
B. Unimodal skewed
C. Bimodal symmetric
D. Uniform
E. Bimodal skewed
Answer:
Unimodal Skewed
Step-by-step explanation:
The best describes the shape of this distribution is E. Bimodal skewed
What is Bimodal skewed?If a histogram has one hump, it is unimodal; if it has two humps, it is bimodal; and if it has many humps, it is multimodal.
If a histogram is not symmetric, this will refer to as skewed.
It is positively skewed if the upper tail is longer than the lower tail.
It can have multiple peaks or be bimodal (two peaks) (or many peaks).
But a single distribution with two peaks characterizes a bimodal distribution.
This will appear as two separate bell curve shapes contained within two normal distributions on a graph that is displayed side by side.
We are given graph has 2 humps, we can conclude that the given distribution is Bimodal skewed.
Therefore, the given distribution is (E) Bimodal skewed as the distribution has 2 humps.
Know more about Bimodal skewed here:
brainly.com/question/28577461
#SPJ7
combine like terms. x + 8y - 5y + 5y
Answer:
x+8y
Step-by-step explanation:
add them all together
In boot camp, a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. Unfortunately, they miss the platform on the other side and swing back to where they started. If it takes the cadet 3.5 seconds to swing from one side of the obstacle to the other and back, how Lind is the rope swing? Use the formula: T= 2 pi square root over L/9.8
Answer:
3.04m
Step-by-step explanation:
Time taken to swing the rope = 3.5s
Length of the rope = L
T = 2π√(L / 9.8)
3.5 = 2π√(L / 9.8)
take the square of both sides
(3.5)² =[2π√(L/9.8)]²
12.25 = 39.48 × (L / 9.8)
12.25 = 39.48L / 9.8
39.48L = 12.25 × 9.8
39.48L = 120.05
L = 120.05 / 39.48
L = 3.04m
The length of the rope is 3.04m
Answer:
Step-by-step explanation:
3.0meters
(9x-8)+(x+10)+(x+2)=180 find x
Answer:
x = 16
Step-by-step explanation:
Simplifying
(9x + -8) + (x + 10) + (x + 2) = 180
Reorder the terms:
(-8 + 9x) + (x + 10) + (x + 2) = 180
Remove parenthesis around (-8 + 9x)
-8 + 9x + (x + 10) + (x + 2) = 180
Reorder the terms:
-8 + 9x + (10 + x) + (x + 2) = 180
Remove parenthesis around (10 + x)
-8 + 9x + 10 + x + (x + 2) = 180
Reorder the terms:
-8 + 9x + 10 + x + (2 + x) = 180
Remove parenthesis around (2 + x)
-8 + 9x + 10 + x + 2 + x = 180
Reorder the terms:
-8 + 10 + 2 + 9x + x + x = 180
Combine like terms: -8 + 10 = 2
2 + 2 + 9x + x + x = 180
Combine like terms: 2 + 2 = 4
4 + 9x + x + x = 180
Combine like terms: 9x + x = 10x
4 + 10x + x = 180
Combine like terms: 10x + x = 11x
4 + 11x = 180
Solving
4 + 11x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 11x = 180 + -4
Combine like terms: 4 + -4 = 0
0 + 11x = 180 + -4
11x = 180 + -4
Combine like terms: 180 + -4 = 176
11x = 176
Divide each side by '11'.
x = 16
Simplifying
x = 16
Your answer would be x = 16.
To find the answer you need to collect like terms on the left hand side by adding the x-terms and the numbers, and then solving for x.
9x + x + x = 11x
-8 + 10 + 2 = 4
11x + 4 = 180
- 4
11x = 176
÷ 11
x = 16
I hope this helps!
Use a calculator to find a decimal approximation for the following trigonometric function.
cot 221°48'
Answer:
221.8°
hope this helps:)
Reese will choose one headband, one
necklace, and one pair of earrings to
wear with her prom dress. Using the
options in the table,answer the
following question
Headband
White
Rod
Blue
Necklace
Gold
Silver
Earrings
Gold Pair
Silver Pair
Pearl Pale
What is the probability that Reese will
choose a blue headband, a silver
necklace, and a silver pair of earrings
to wear with her prom dress?
Answer:
[tex]\dfrac{1}{18}[/tex]
Step-by-step explanation:
Number of Headband Types=3
P(Reese will choose a blue headband)=1/3
Number of Types of Necklace=2
P(Reese will choose a silver necklace)=1/2
Number of Types of Earrings=3
P(Reese will choose a silver earrings)=1/3
In Probability Theory,
P(A AND B)=P(A) X P(B)
Therefore, the probability that Reese will choose a blue headband, a silver necklace, and a silver pair of earrings
[tex]=\dfrac{1}{3}X \dfrac{1}{2}X\dfrac{1}{3}\\\\=\dfrac{1}{18}[/tex]
What is the coefficient of the expression below? Please provide an explanation. Will choose brainliest.
Answer:
-3
Step-by-step explanation:
the number in front of the variable is the coefficient
Hassan is thinking of a fraction. It is bigger than 2/5 and smaller than 2/3. When he divides the numerator by the denominator, he gets an answer of 0.533. What fraction is Hassan thinking of?
Answer:
8/15
Step-by-step explanation:
To start off you want both of the fractions to have the same denominator so you will change 2/5 into 6/15 and 2/3 into 10/15.
Than you figure out a number in between being 7, 8, or 9 and divide it by fifteen. Which ever one equals 0.533. (Which in this case is 8) is the numerator to the fraction.
Express in scientific notation. 65
Final answer:
The number 65 can be expressed in scientific notation as 6.5 × 10¹, where the original decimal was moved one place to the left.
Explanation:
To express the number 65 in scientific notation, we need to write it as a product of a number between 1 and 10 and a power of 10. Since 65 is a relatively small number, we will have only one digit to the left of the decimal point. We write 65 as 6.5 × 10¹, because we have moved the decimal one place to the left to get the number 6.5, which is between 1 and 10. The exponent on the 10 is positive because the original number was greater than 1.
In sciences like chemistry, scientific notation is frequently used to express large or small quantities. This is also helpful when entering data into a calculator; it's important to know the correct procedure for your particular calculator model. In case of uncertainty, consulting an instructor is advised.
On Monday sue young ran 2.5km on Tuesday she ran another 3.6 km and on Wednesday she ran 4.1 how much farther did sue young ran on Wednesday than on Monday
Answer:
1.6 km
Step-by-step explanation:
subtract 2.5 from 4.1
Evaluate f(3) for f(x)=-2x^2+5x-9?
by KWOMACK8012 5 minutes ago
Answer:
-12.
Step-by-step explanation:
f(x)=-2x^2+5x-9
which is -18+15-9, which is...
MARK AS BRAINLIEST!!!!!!!!!!!!
To evaluate f(3) for the function f(x)=-2x^2+5x-9, you substitute 3 for x in the equation and simplify the expression to get the result, which is -12.
Replace x with 3: f(3)=-2(3)2+5(3)-9.
Simplify the squares: f(3)=-2(9)+5(3)-9.
Multiply through: f(3)=-18+15-9.
Combine the terms: f(3)=-3-9.
Final result: f(3)=-12.
Therefore, the evaluated result for f(3) is -12.
What should be the first step in adding these equations to illuminate y? 3x+4y=8 + 6x-2y=9
A. Multiply the top equation by two
B. Multiply the top equation by six
C. Multiply the bottom equation by three
D. Multiply the bottom equation by two
Answer:
D
Step-by-step explanation:
In this problem, we are adding the two equations and we want to get rid of y. To do this, we want one positive y and one negative y with the same coefficient because when we add the equations they will cancel each other out. The coefficient of the first equation's y is 4, so we want the second to be -4. The coefficient of the second equation's y is -2, and if we want it to be -4 we multiply it by -4/-2= 2, which is D. Once you do that you will get 4y and -4y in the first and second equations respectively and then you can add them to eliminate y!
What is the asymptote of the function? f(x) = 3(2^2x)
Answer:
12
Step-by-step explanation:
three time 2 to the 2nd power is twelve.
use a calculator,man. don't be lazy
What is mArc B C? 50° 80° 100° 130°
Answer:
130
Step-by-step explanation:
The measurement of arc BC is 130°.
Step-by-step explanation:
Given : circle with origin O, with two line segments AC and BD which are also diameters.
Measurement of arc AB = (3 x -70)° =
Measurement of arc DC= (x +10)° = ∠3
To find : Measurement of arc BC = ∠2 =?
Solution:
Let angle subtended by the arc AC = ∠1 = (3 x -70)°
Let angle subtended by the arc BD = ∠2
Let angle subtended by the arc DC = ∠3 = ( x + 10)°
Let angle subtended by the arc AD = ∠4
AC and BD are intersecting each other at O.
So, ∠1 = ∠3 (vertically opposite angles)..[1]
∠2 = ∠4 (vertically opposite angles)..[2]
(3 x -70)° = (x +10)° (from [1])
3x - x = 10 + 70
∠1 = ∠3 = (x +10)° = (40 +10)° = 50°
∠1 + ∠2 + ∠3 + ∠4 = 360°
50° + ∠2 + 50° + ∠2= 360° (from [2])
2∠2 = 360° -50° - 50°
2∠2 = 260°
∠2 = 260° ÷ 2
∠2 = 130°
The measurement of arc BC is 130°.
The measurement of arc BC is 130°.
A circle with origin O, with two line segments AC and BD which are also diameters.
Measurement of arc AB = (3 x -70)° =
Measurement of arc DC= (x +10)° = ∠3
Measurement of arc BC = ∠2 =?
Let angle subtended by the arc AC = ∠1 = (3 x -70)°
Let angle subtended by the arc BD = ∠2
Let angle subtended by the arc DC = ∠3 = ( x + 10)°
Let angle subtended by the arc AD = ∠4
AC and BD are intersecting each other at O.
So, ∠1 = ∠3 (vertically opposite angles)..[1]
∠2 = ∠4 (vertically opposite angles)..[2]
(3 x -70)° = (x +10)° (from [1])
3x - x = 10 + 70
What is the circumference?
The circumference of the circle is 360 degrees the circle.
∠1 = ∠3 = (x +10)° = (40 +10)° = 50°
∠1 + ∠2 + ∠3 + ∠4 = 360°
50° + ∠2 + 50° + ∠2= 360° (from [2])
2∠2 = 360° -50° - 50°
2∠2 = 260°
∠2 = 260° ÷ 2
∠2 = 130°
The measurement of arc BC is 130°.
To learn more about the circle visit:
https://brainly.com/question/24375372
#SPJ2
Find the arc length for a circle with diameter 10 inches and central angle 60 degrees. Round to the nearest tenth.
Answer:
C. 5.2 cm
Step-by-step explanation:
Arc length formula:
[tex] s = \dfrac{n}{360^\circ} 2 \pi r [/tex]
where s = arc length
n = central angle of arc
r = radius of circle
diamter = d = 10 cm
r = d/2 = 10 cm/2 = 5 cm
n = 60 deg
[tex] s = \dfrac{n}{360^\circ} 2 \pi r [/tex]
[tex] s = \dfrac{60^\circ}{360^\circ} 2 \times 3.14159 \times 5 ~cm [/tex]
[tex] s = 5.2~cm [/tex]
Answer: 5.2 cm
If the distance from the center of a regular pentagon to one of the vertices is 15 units, what is the length of one of the sides?
Select one:
A. 15.4
B. 17.6
C. 19.0
D. 24.3
Answer:
B. 17.6
Step-by-step explanation:
asdasdasdasdasd
Pls help it’s due tn
Answer:
94 for the first one and 130 for the second
Step-by-step explanation:
Since A=6 and B=4
For the first one
13(6)+ 4(4)
78+16=94
For the second one
(6+4)*13
(10)*13= 130
The eighth grade class is planning a trip to Washington DC this spring. They need a minimum of 75 people to attend in order to reserve buses. If 1/3 of the eighth grade class 17 parent chaperones have signed up and this is enough to satisfy the requirement, how many students must be in the eighth grade class?
By setting up an equation and solving for the number of students in the eighth grade class, we find that there must be 174 students to meet the requirement of 75 people including 17 parent chaperones.
To find the number of students in the eighth grade class for the trip to Washington DC, let's use the information provided that 1/3 of the class plus 17 parent chaperones are just enough to satisfy the requirement of 75 people for the trip. We can set up an equation to solve for the total number of students (S) in the class:
1/3 * S + 17 = 75
First, subtract 17 from both sides of the equation:
1/3 * S = 75 - 17
1/3 * S = 58
Then, multiply both sides by 3 to find the total number of students (S):
S = 58 * 3
S = 174
Thus, there must be 174 students in the eighth grade class.
a piece of plywood was cut so it’s length was 6 feet and the perimeter is 22 feet. what is the area of the wood
Answer:
i believe its 132
Step-by-step explanation: you need to multiply the two numbers together to find the area.
The area of plywood = 30 feet²
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length.
The perimeter of a rectangle is defined as the total distance covered by the outer boundary of the rectangle. It is measured in unit length. The formula of perimeter is given by:
Perimeter, P = 2 (Length + Width)
The area of the rectangle is the area covered by its outer boundaries. It is equal to the product of length and width.
The formula of area of rectangle is:
Area = Length × Width unit²
Given,
Length of the plywood (L) = 6 feet
Perimeter of Plywood (P)= 22 feet
Area of Plywood = ?
Perimeter = 2(Length + Width)
22 feet = 2 (6feet + Width)
Width (W) = (22 /2 - 6) feet
Width (W) = (11 - 6) feet
Width (W) = 5 feet
Area of the plywood (A) = Length × Width
Area = 6feet × 5feet
Area = 30 feet²
Hence, Area of the plywood (A) = 30 feet²
Learn more about rectangle here:
https://brainly.com/question/29123947
#SPJ5
Which represents the volume of the cylinder, in cubic units?
120
130
300
325
Answer:
Step-by-step explanation:
Volume=(pi)(radius^2)(height)
Volume=(pi)(5^2)(12)
V=(pi)(25)(12)
V=(pi)(300)
Answer: 300 pi
Step-by-step explanation:
on edge
If two similar rectangles have corresponding sides with a ratio of 2:3, what is the
ratio of their areas?
Answer:
4:9 ratio
Step-by-step explanation:
We know that the sides cannot be the same because it is a rectangle, therefore there is a width and length.
For the width, which is the shortest side, we will keep the radius as it is, that is, for rectangle 1 it will be 2 and for rectangle 2 it will be 3.
For the length, which is the longest side, we multiply the radius by two, which means that rectangle 1 will be 4 (2 * 2) and for rectangle 2 it would be 6 (2 * 3)
If we calculate the area it would be:
rectangle 1:
2 * 4 = 8
rectangle 2:
3 * 6 = 18
Which means that the radius is 8/18 = 4/9
What is a 4: 9 ratio
What is the length of BC in the right triangle below?
Answer:
15
Step-by-step explanation:
using the 3 : 4 : 5 triangle triple:
we see that this triangle follows the same ratio
9:12 = 3:4, so the hypotenuse = 5*3 = 15
ANSWER: 15
Pls answer and whoever answers first will be mark the brainliest!!!!
Answer:
[tex]-15.5+8\frac{1}{5} -1.6-20.4+15.5[/tex]
13.8 feet left to asaend to the surface
Step-by-step explanation:
Combine like terms.
y - y² + 4y + 7y² – 3 x3 + y² + 4y
Answer:
-3x^3+7y^2+9y
Step-by-step explanation:
y - y² + 4y + 7y² – 3 x3 + y² + 4y
Combine Like Terms:
=y+−y2+4y+7y2+−3x3+y2+4y
=(−3x3)+(−y2+7y2+y2)+(y+4y+4y)
=−3x3+7y2+9y
Which expression represents “6 more than x”? A. x−6 B. 6ix C. x+6 D. 6 − x
Answer:
D. -6.
Step-by-step explanation:
The inverse is the number when added to 6 results in 0.
So it is 0 - 6 = -6. (6 + -6 = 0)
Answer: x+6
Step-by-step explanation:
6 more than (+) x
Solving systems of equations algebraically.
y = -5
5x + 4y= -20
And SHOW YOUR WORK PLEASE!!!!
Step-by-step explanation:
If y = - 5
Then put value of y
5x + 4(-5) = - 20
5x - 20 = - 20
5x = - 20 + 20
5x = 0
x = 0
Answer:
x = 0
y = -5
Step-by-step explanation:
Since you already have the value of y, all you need to do is plug it into the equation, like so:
5x + 4y = -20
5x + 4(-5) = -20
5x - 20 = -20
Add 20 to both sides:
5x - 20 = -20
+ 20 + 20
___________
5x = 0
Finally, divide both sides by 5:
5x = 0
x = 0
So now you have, x = 0 and y = -5
3. Triangle ABC has angle measures as shown.
(x + 2)
(6x + 10)
(a) What is the value of x? Show your work.
(b) What is the measure of angle B? Show your work.
Answer:
Below in bold.
Step-by-step explanation:
(a) The angles in a triangle add up to 180 degrees, so:
x + x + 2 + 6x + 10 = 180
8x + 12 = 180
8x = 168
x = 168/8 = 21 degrees.
(b) Angle B = x + 2
= 21 + 2 = 23 degrees.
Which graph shows the result of dilating this figure by a factor of One-third about the origin?
On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).
On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
A
Step-by-step explanation:
The coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given that, on a coordinate plane, triangle A B C has points (-6, 6), (6, 6), (6, -6). It is being dilated with a scale factor of 1/3
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Here, we will consider the coordinates in place of dimensions,
Therefore,
Scale factor = coordinates of new figure / coordinates of original figure
Considering the first option = A'(-2, 2), B'(2, 2) and C'(2, -2)
Scale factor = A/A' = 2/6 = 1/3
Hence, the coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)
Learn more about dilation, click;
https://brainly.com/question/13176891
#SPJ3
How would you slice through a cube such that the figure formed by the intersecting plane is a triangle?
A. from the upper left edge of the cube to the lower right edge
B. perpendicular to the base
C. parallel to the base
D. passing through three intersecting edges
Answer: passing through three intersecting edges
Step-by-step explanation:
To create a triangle by slicing a cube, D. pass the slicing plane through three intersecting edges, such as AB, FE, and DH, to intersect the cube and form a triangular cross-section.
To slice through a cube such that the figure formed by the intersecting plane is a triangle, you would need to follow option D, passing through three intersecting edges. Imagine the cube has vertices labeled A to H, with ABCD and EFGH being the top and bottom faces respectively, and the vertical edges connecting the corresponding vertices of these two faces.
By slicing through edge AB, edge FE, and edge DH, you would create a plane that intersects the cube in such a way that the section of the cube cut by this plane is a triangle with vertices at the points where the plane cuts through the edges AB, FE, and DH.