Answer:
g = 10
Step-by-step explanation:
First, let's find the missing value of the 'C'
180 - 110 = 70 degrees
Now that we have the answer for one side, we can make an equation:
2g + 9g + 70 = 180 (area of a triangle is 180 degrees)
11g + 70 = 180
11g = 180 - 70
11g = 110
g = 110 / 11
g = 10
The value of g is 10 so we can now add them to the expression:
2g = 2(10) = 20
9g = 9(10) = 90
To make sure that you have the correct answer, add the values so that you get an answer as 180:
70 + 20 + 90 = 180
hope this helps....
From the given figure, We can notice that :
∠BCA + 110° = 180° (Because they make a Linear Pair)
⇒ ∠BCA = 180° - 110°
⇒ ∠BCA = 70°
We know that : Sum of the Angles in a Triangle should be equal to 180°
⇒ 2g° + 9g° + ∠BCA = 180°
⇒ 11g° + 70° = 180°
⇒ 11g° = 180° - 70°
⇒ 11g° = 110°
⇒ g° = 10°
⇒ 9g° = (9 × 10) = 90°
⇒ 2g° = (2 × 10) = 20°
Solve this plz for god sake
Answer:
AB = 8.66 m
Step-by-step explanation:
Here, we want to get the length AB
What we have is a right triangle
so to get the length AB, we are going to use the appropriate trigonometric ratio
From the question, AB faces the given angle and that makes it the opposite
AC faces the right angle and that makes it the hypotenuse
The relationship between the hypotenuse and the opposite can be defined by the sine
the sine of an angle is the ratio of the length of the opposite to the hypotenuse
so, we have it that;
sine 60 = AB/10
AB = 10 * sine 60
AB = 8.66 m
The volume of a cuboid, whose length and height are equal is 108 m3. If the breadth is 12 m, find the cuboid's length and surface area.
Answer:
Surface area = 162 m^2
Step-by-step explanation:
Below is the given values:
Length of cuboid = Height of cuboid
The volume of the cuboid = 108 m^3
The breadth of the cuboid = 12 m
Now use the volume formula:
Volume = area of one surface × height
Volume = (L x B) * H
(L x 12) * H = 108 (L = H)
L x 12 x L = 108
L^2 = 108/12
L = 3 m
Thus length and height is = 3m
Surface area = 2 (L x B + b x h + L x h)
Surface area = 2 (3 x 12 + 12 x 3 + 3x 3)
Surface area = 162 m^2
I need to show my work but I don’t know how to do these can someone help me??
Brainliest goes to whoever answers correctly I have other questions if you want more points
Answer:
C
Step-by-step explanation:
Find the graph that shows temperatures decreasing. Two of the graphs show that it's decreasing; C and D. When something is in a constant rate, it is going to be a straight line (doesn't mean it can't be slanted!). Therefore it is C.
a cylindrical container has a radius of 14 cm and I 20m high .it's curved surface is completely covered with a label . what is the area of the label in cm2 .take pie to be 22/7)
Answer:
The area of the label is 176,000 cm²
Step-by-step explanation:
The given parameters are;
The radius of the cylindrical container, r = 14 cm
The height of the cylinder, h = 20 m
The area covered with the label = The curved surface of the cylinder, A
The curved surface area of a cylinder, A = 2 × π × r × h
π = 22/7
∴ The curved surface area of the cylinder = A = 2 × 22/7 × 14 × 2000 = 176,000
A = 176,000 cm²
∴ The area of the label = The curved surface area of the cylinder = 176,000 cm².
Which of the following sets of ordered pairs does not represent a function?
A {(1,2), (2, 3), (4, 5), (3, 3)}
B {(-1,3), (2, 3), (6,5), (7,3)}
C {(1, 2), (1, 3), (-4, 5), (3, 3)}
D {(-1, 2), (2, 2), (4, 2), (3, 2)}
Which could be the graph of f(x) = |x -h| + k if h and k are both positive?
Step-by-step explanation:
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.
Answer:
A
Step-by-step explanation:
Just did it
A rectangular park is 260 m by 480 m. Danny usually trains by running 5 circuits around the edge of
the park. After heavy rain, two adjacent sides are too muddy to run along, so he runs a triangular path
along the other two sides and the diagonal. Danny does 5 circuits of this path for training. Show that
Danny runs about 970 metres less than his usual training session
Answer:
971 m to nearest metre
Step-by-step explanation:
training distance = 5*2*(260 + 480) m
Diagonal distance = √(2602 + 4802) m
Heavy rain training distance = 5*(260 + 480 + √(2602 + 4802)) m
Difference between these:
5 × 2 × ( 260 + 480 ) - 5 ×( 260 + 480 + √ 260 ^ 2 + 480 ^ 2 )
= 970 . 5311872087638744
difference = 971 m to nearest metre
Hope this answer helps you :)
Have a great day
Mark brainliest
two hundred minus the number two
Answer:
200-2 = 198
Step-by-step explanation:
If you have 200 apples and you eat two you have 198 apples
x/6 + 12 = 6
Please help me
Answer:
[tex]x=-36[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} +12=6[/tex]
[tex]\frac{-36}{6} +12=6[/tex]
[tex]-6+12=6[/tex]
Hence, x = -36
Answer:
X = -36
Step-by-step explanation:
x/6 + 12 = 6
-12 = -12
x/6 = -6
(6) = (6)
x = -36
The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?
Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadrilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
Pythagoras
1.if the radius of the smaller circle is 3, find it’s area
2. Find the area of the yellow ring
3. Find the area of the white ring
Answer:
1. [tex]Area = 28.26[/tex]
2 and 3: See explanation
Step-by-step explanation:
Solving (1)
[tex]r = 3[/tex] --- radius
The area is:
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14* 3^2[/tex]
[tex]Area = 28.26[/tex]
There are no enough information to solve (2) and (3) as the radius and/or diameter are not provided.
However, the following formula will be used to calculate the required areas.
[tex]Area = \pi r^2[/tex] --- same process as (1)
por favor, me urge hacerla
Answer: do you have this in english so that I can help
Step-by-step explanation:
sam can walk 1/3 mile in 12 minutes what is her average speed in miles per hour
Answer: 1.67 mph
Step-by-step explanation:
Given
Sam walk one-third of a mile in 12 minutes
There is 60 minutes in an hour i.e. Sam take
[tex]\Rightarrow t=\dfrac{12}{60}\\\\\Rightarrow t=0.2\ hr[/tex]
Average speed is given by
[tex]\Rightarrow v_{avg}=\dfrac{\text{distance}}{\text{time taken}}\\\\\Rightarrow v_{avg}=\dfrac{\frac{1}{3}}{0.2}\\\\\Rightarrow v_{avg}=\dfrac{5}{3}\ \text{or}\ 1.67\ mph[/tex]
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:37.68
Step-by-step explanation:
Do yk the anwser to my question?
Can someone help me?It's urgent and thank you!
Answer:
575.71
Step-by-step explanation:
Year 1: 960 x .88 (100%-12%)=844.80
Year 2: 844.80 x .88 =743.424
Year 3: 743.424x.88=654.21
Year 4: 654.21 x .88=575.71
URGENT: Graph y = cosx for -3\pi/2 <= x <= -pi/2
What is the largest value in the range?
A. -1
B. 0
C. 1/2
D. 1
There were 60 7th grade students last year in CHAMPS. This year, there are 48 7th grade students. What is the percent decrease from last year to this year?
20%
Hope this helps! :)
______________
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
The question is incomplete, the complete question is:
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x − y = 14
A: Multiply the second equation by -3. The solution is x = 12, y = 9.
B: Multiply the second equation by -2. The solution is x = 12, y = 10.
C: Multiply the second equation by 2. The solution is x = 15, y = 9
D: Multiply the second equation by 3. The solution is x = 12, y = 10
Answer: The correct option is D.
Step-by-step explanation:
The elimination method is a technique wherein we eliminate the coefficient of any one variable.
The given equations are:
x + 3y = 42
2x − y = 14
We multiply the second equation by (3) and the equations formed are:
x + 3y = 42
6x − 3y = 42
The final equation after eliminating the y-term becomes:
7x = 84
x = 12
Putting value of 'x' in any of the original equation, we get:
⇒ 12 + 3y = 42
⇒ 3y = 30
⇒ y = 10
Hence, the correct option is D.
If p q is true and q is true, then p is ___ true. Answer choices are always, never, sometimes
Answer:
sometimes
Step-by-step explanation:
A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?
*Brainliest* What is the value of X?
or how do I solve this equation?
Answer:
x = 6
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
69+111+12x-3 +111 = 360
Combine like terms
12x+288=360
Subtract 288 from each side
12x+288-288 = 360-288
12x = 72
Divide by 12
12x/12 = 72/12
x = 6
Answer:
x = 6
Step-by-step explanation:
All angles together equal 360
Us this to set up your formula
360 = 111 + 111 + 69 + 12x-3
360 = 288 + 12 x
360 - 288 = 12x
72 = 12x
72/12 = x
6 = x
You could also use the fact that angle t and r are equal to set your formula up as
69 = 12x-3
69+3=12x
72=12x
72/12=x
6=x
Find the sale price of an $18 item after a 50% discount.
Rewrite 50% as a decimal : 0.50
Multiply the price by 0.50:
18 x 0.50 = 9
The sale price is $9
Answer:
$9
Step-by-step explanation:
price of an item=$18
discount=50%
sale price =? (be x)
sale price= original price -discount% of original price
x=$18 -50/100 * $18
x=$1800-$900/100
=$900/100
=$9
therefore sale price of an item is $9.
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario. Which graph represents this wage increase for x < 12?
The solution is Option C.
The graph which represents the inequality equation is
f ( x ) = { 0.50 , if x < 3
1 , if 3 ≤ x < 6
1.50 , if 6 ≤ x < 9
2.00 , if 9 ≤ x < 12 }
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number of years be = x
Let the increment in wages be = y
Now , the equation will be
For the employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour
So , the inequality equation is x < 3 , f ( x ) = 0.50
Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00
So , the inequality equation is 3 ≤ x < 6 , f ( x ) = 1
Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour
So , the inequality equation is 6 ≤ x < 9 , f ( x ) = 1.50
Employees of at least nine years, but less than twelve years receive an increase of $2.00
So , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2
Therefore , the graph which represents the solution is Option C.
Hence , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ2
Find the distance from point P to RQ
Answer:
option A : about 2.8 units
Step-by-step explanation:
To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).
[tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}[/tex]
= 2.83 units
Answer:
A
Step-by-step explanation:
Remark
The distance you want is the point P to the (3,3). Then two lines meet as these two do, the shortest distance is the right angle distance. And that is how distance is defined.
Formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = 1
x1 = 3
y2 = 1
y1 = 3
Solution
d = sqrt( (1 - 3)^2 + (1 - 3)^2 )
d = sqrt( (-2)^2 + (-2)^2 )
d = sqrt ( 4 + 4)
d = sqrt(8)
d = 2√2
d = 2.8
Pls help me with this
Answer:
12
Step-by-step explanation:
f(-7) = 5-(-7)=5+7=12
74 + -28 =[find the difference and put the sign of big number]
Answer:
It should be 74+(-28) as 2 signs can bit be put together.
74+(-28)
=74-28 (sign only changes when there is (minus) before it
=48
We are not putting a minius (-) as 74 is digger that 28 and it has plus (+) before it.
I HOPE IT HELPS
HAVE A GREAT DAY
[tex]#Liliflim✌[/tex]
What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2
Answer:
x = -2, y = 5/3
Step-by-step explanation:
we have the value of x already (-2).
x=-2
Plug it into the first equation y = 2/3x+3
y = 2/3(-2)+3
y = -4/3+3
y = -4/3+9/3
y = 5/3
x = -2, y = 5/3
What is the solution to the inequality 5.25 - b 2 6.52
+
+→
5
-5 -4 -3 -2 -1 0
1
2
3
4
OH ++
-5 -4 -3 -2 -1 0 1 2
+
3
+
4
5
OA
-5 -4 -3 -2 -1 0 1
2
3 4 5
-5 -4 -3 -2 -1 0 1 2 3 3 4 4 5
Answer:
1st option
Step-by-step explanation:
Solving the inequality
5.25 - b ≥ 6.5 ( subtract 5.25 from both sides )
- b ≥ 1.25
Divide both sides by - 1, reversing the symbol as a result of dividing by a negative quantity.
b ≤ - 1.25
Since less than or equal to the number line will have a solid circle at - 1.25 and the arrow pointing left.
The solution is represented on the first diagram
need help with this problem
Answer:
2
Step-by-step explanation:
20%---4
20%---4
20%---4
15%---3
15%---3
10%---2
4-2=2
Answer:
2 scoops
Step-by-step explanation:
Hi there!
What the question tells us:
There were 20 sales in totalWe need to solve for the number of chocolate ice cream sales and the number of strawberry ice cream salesWe need to subtract: [# chocolate ice cream sales] - [# strawberry ice cream sales] = ?1) Determine the number of chocolate ice cream sales
The circle graph tells us that 20% of the scoops were for chocolate. To find the number of chocolate scoops, determine 20% of 20, which is the total number of scoops.
20 × 20%
Change 20% into a decimal
= 20 × 0.2
= 4
Therefore, the ice cream shop sold 4 scoops of chocolate ice cream.
2) Determine the number of strawberry ice cream sales
The circle graph also tells us that 10% of the scoops were for strawberry. To find the number of strawberry scoops, determine 10% of 20.
20 × 10%
Change 10% into a decimal
= 20 × 0.1
= 2
Therefore, the ice cream shop sold 2 scoops of strawberry ice cream.
3) How many more of these scoops were chocolate than strawberry?
[# chocolate ice cream sales] - [# strawberry ice cream sales] = ?
4 - 2 = ?
4 - 2 = 2
Therefore, 2 more of these scoops were chocolate than strawberry.
I hope this helps!