Answer:
b
Step-by-step explanation:
Find the surface area of the composite figure.
20 in.
11 in.
5 in.
I
I
19 in
12 in.
12 in.
SA
=
11 in.
5 in.
20 in.
[?] in.2
The surface area of the composite figure is 2005 in².
To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.
Let's break down the figure into its different parts and calculate the surface area step by step:
Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:
Surface Area of Rectangular Prism = 2lw + 2lh + 2wh
Plugging in the values, we have:
Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²
Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:
Surface Area of Rectangular Prism = 2lw + 2lh + 2wh
Plugging in the values, we have:
Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²
Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:
Surface Area of Rectangle = lw
Plugging in the values, we have:
Surface Area of Rectangle = (11)(5) = 55 in²
Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:
Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle
Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²
For more ssuch questions on surface area visit:
https://brainly.com/question/16519513
#SPJ8
Plzzz write all the steps
Answer:
( 2x - 1 ) ( x + 3) / ( 2x - 3 ) ( x + 1 )
Step-by-step explanation:
(x - 2) / (x + 1) - 3(1 - 4x) / ( 2x - 3 ) ( x + 1 )
{ ( x - 2 ) ( 2x - 3) - 3 ( 1- 4x) } / ( 2x - 3 ) ( x + 1 )
{ 2x^2 - 7x - 3 + 12x} / ( 2x - 3 ) ( x + 1 )
{ 2x^2 + 5x - 3 } / ( 2x - 3 ) ( x + 1 )
( 2x - 1 ) ( x + 3 ) / ( 2x - 3 ) ( x + 1 )
Please help! I dont get how to get the answer
The value of angle x in the triangle is 15°
How to find the value of x in the triangle?Given: the triangle ABC with equal sides of 9 units.
Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).
Thus, <A = <B = < C = 4x°
Since the sum of angles in a triangle is 180°. We have:
<A + <B + < C = 180°
4x + 4x + 4x = 180°
12x = 180
x = 180/12
x = 15°
Therefore, the value of x is 15°
Learn more about angles in a triangle on:
https://brainly.com/question/7620723
#SPJ1
Three dozen cookies require 4 cup of flour. How many dozens of cookies can be made with 16 cups of flour
Answer:
4 dozen
Step-by-step explanation:
4 cups flour = 12 cookies [1 dozen=12]
1 cup of flour= 12/4 cookies
=3 cookies
now,
16 cups of flour= 3*16 cookies
=48 cookies
= 4 dozens [48/12=4 dozen]
therefore, 4 dozen cookies can be made with 16 cups of flour
Answer: 144
Step-by-step explanation:
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE please?
9414 1404 393
Answer:
24. 5
25. 0
26. -7
27. 1
Step-by-step explanation:
When you're asked to find f(n), locate n on the x-axis, then move up or down along the grid line until you meet the curve. Then move horizontally to the f(x) axis and read the value from that.
This process is illustrated in the attachment.
__
To find f(x) = n, reverse the process. Locate n on the f(x) axis, then move horizontally to the curve, then vertically to the x-axis. That is the value of x you're looking for.
_____
For this graph, and many unmarked graphs, it is often reasonable to assume each grid square is 1 unit in either direction. (The graph title or axis labels may tell you differently.)
A cause-and-effect relationship between two variables can best be determined from which of the following? When the two variables have a correlation. An observational study where the observational units are chosen randomly. A survey conducted using a simple random sample of individuals. A survey conducted using a stratified random sample of individuals. A controlled experiment where the observational units are assigned randomly to treatments.
The answer is A cause- and- effect relationship between two variables can best be determined When the two variables are identified.
Because the cause and effect relationship is chancing when the variables are identified or there exists a direct relationship between the variable. i.e. when the variables are identified or have a retrogression between the variables.The use of a controlled study is the most effective way of establishing reason between variables. In a controlled study, the sample or population is resolve in two, with both groups being similar in nearly every way.
There are three criteria that must be met to establish a cause- effect relationship. The cause must do before the effect. Whenever the cause occurs, the effect must also do. There mustn't be another factor that can explain the relationship between the cause and effect.
Learn more about cause-and-effect relationship here :
https://brainly.com/question/29295727
#SPJ4
What are all the solutions of x2 + 3x4 07
Answer:
One could be just rewriting it in standard form
Step-by-step explanation:
3x^4+x^2+7
(^=to the power of)
If a leopard can run 500 years in 1/2min how many yards could they run in 1 hour
Answer:
?
Step-by-step explanation: how do expect us to know this
find the measure of b
Answer:
93°
Step-by-step explanation:
8x-25+7x-5=180
15x-30=180
15x=210
x=14
<B=7(14)-5
<B=93°
Pls help with this question pictured below.
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
More can be learned about implicit differentiation at https://brainly.com/question/25081524
#SPJ1
Explain the meaning of the term floor plan in this context
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
THIS PIC WILL ALSO HELP U
The perimeter of a picture frame is
24 inches. If the width of the picture
frame is 5 inches, what is the length of
the picture frame?
Answer:
7 in
Step-by-step explanation:
perimeter = 2length + 2width
Input the given info:
24 = 2length + 2(5)
24 = 2L + 10
14 = 2L
14/2 = L
l = 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
X x 15 = 8 1/3. what is X
Answer:
4
Step-by-step explanation:
yes 1x is the same a x Technically the 1 front of the x is called implied so it's simply written as x say x=4
Answer:
5/9
Step-by-step explanation:
I assume the second x is a times.
X*15=8 1/3
Divide both sides by 15
x= 5/9 or .555 repeating forever
Order the following from least to greatest.
Answer:
Step-by-step explanation:
1. -√(4/9)
2. -0.8
3. -1/6
answer is C
Write an equation for a line containing the points (-3,7) and (9,-1)
Answer:
y = (-2/3)x + 5
Step-by-step explanation:
To write the equation of a line, we need to find its slope and y-intercept using the given points.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:slope = (y2 - y1) / (x2 - x1)
Using the points (-3,7) and (9,-1), we can find the slope as:slope = (-1 - 7) / (9 - (-3))
= -8 / 12
= -2/3
Now that we have the slope, we can use the point-slope form of the equation of a line to find the y-intercept. The point-slope form of the equation of a line passing through a point (x1, y1) with slope m is:y - y1 = m(x - x1)
Using the point (-3,7) and the slope we just found (-2/3), we get:y - 7 = (-2/3)(x - (-3))
Simplifying this equation, we get:y - 7 = (-2/3)x - 2
y = (-2/3)x + 5
two alarms are set to go off in the morning. one alarm will buzz every 6 minutes and the other will beep every 9 minutes. if both alarms go off 6:15 am what is the next time the both alarms will go off at the same time
=========================================================
Explanation:
The LCM of 6 and 9 is 18. We can see that by listing out the multiples
multiples of 6 = {6,12,18,24,30,...}
multiples of 9 = {9,18,27,36,45...}
Or we could multiply 9*6 = 54, and divide by the GCF 3 getting 54/3 = 18. There are a few options to find the LCM.
The LCM being 18 means that every 18 minutes, both alarms will go off. If they both sound off at 6:15 AM, then the next time they trigger together is 6:33 AM since 15+18 = 33, and there is no carry over to the next hour.
You can think of the time values adding like this
6:15 + 0:18 = (6+0):(15+18) = 6:33
Lindsey estimated the amount of liquid in a container to be 80 ml. The actual amount of liquid was 83 ml. What is the percent error? Round your answer to the nearest whole percent.
When does a negative exponent not move the base to the denominator
Answer:
If the base and the negative exponent is in the denominator already
Step-by-step explanation:
Normally, a base with a negative exponent moves to the denominator.
Example: (2^-3 = 1 / (2)^3 = 1/8)
However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.
Example: 2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54
what is 13 divide by 113.1 in long division
The value of 13 divided by 113.1 is 0.1149425.
How to calculate the division?It should be noted that the steps to calculate the division will be:
Step 1: Take the first digit of the dividend from the left. ...
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Step 4: Bring down the next digit of the dividend
Therefore, 13 divided by 113.1 will be:
= 13 ÷ 113.1
= 0.1149425
In conclusion, the value is 0.1149425.
Learn more about division on:
https://brainly.com/question/28119824
#SPJ1
Simplify the expression below:
3(2x - 5) - (4x + 1) +2(6 – 5x + 2x)
into the form AX + B
1. What is the value of A?
Do not include spaces, units, or commas in your response.
2. What is the value of B
Do not include spaces units, or commas in your response.
Answer:
The value of A is -4, and that of B is -10
Step-by-step explanation:
We must carry out the indicated multiplication (and removal of parentheses) according to Order of Operations rules:
6x - 15 - 4x - 1 + 6 - 10x + 4x
Grouping like terms together, we get:
6x - 4x - 10 x + 4x - 15 -1 + 6
this, in turn, simplifies to:
-4x-10
The value of A is -4, and that of B is -10
Select the correct answer.
Given: , and
Prove:
Statements Reasons
vertical angles theorem
given
given
alternate interior angles theorem
??
definition of congruence
Which step is missing in the proof?
Based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration.
See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.
Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".
Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
Learn more about congruency at
brainly.com/question/14418374
#SPJ1
what is the formula for this seqyence 5,10,20,40,80
Answer:
2x
Step-by-step explanation:
5, 10, 20, 40, 80
each step is multiplying by 2, therefore the sequence is 2x
help
What are the solutions to the following system of equations? y = x2 + 8x + 12 3x + y = −6
The solutions for the given system of equations are (-9, 33) and(-2, 12).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).
Here, y=-6-3x in the equation (i), we get
-6-3x=x²+8x+12
x²+8x+12+6+3x=0
x²+11x+18=0
Splitting middle term method, we get
x²+9x+2x+18=0
x(x+9)+2(x+9)=0
(x+9)(x+2)=0
x=-9 or x=-2
Substitute x=-9 in the equation (ii), we get
y=-6-3(-9)
y=33
Substitute x=-2 in the equation (ii), we get
y=-6-3(-2)
y=12
So, solutions are (-9, 33) and(-2, 12)
Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ1
Look at the chart showing a clothing stores daily stock data for the past month . Which statement is a fair conclusion based on the chart
Answer: c
Step-by-step explanation:
Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 3 1/2 times more than the rainfall during September of the same year. How much rain fell during the month of September?
Answer:
4in
Step-by-step explanation:
Given
Amount of rain that fell in October = 14in
If this value is 3 1/2times amount of rain that fell in September, we can express it mathematically as;
3 1/2 of September = 14
7/2 of x = 14
x is the amount of rain that fell in September
From the expression
7x/2 = 14
Cross multiply
7x = 14×2
7x = 28
Divide both sides by 7
7x/7 = 28/7
x = 4in
Hence the amount of rain that fell in September is 4in
Find the Central Angle
mXY = = 18 in
radius ZY = 7.64 in
The central angle is approximately 2.357 radians.
To find the central angle, we can use the formula:
Central angle (θ) = arc length ÷ radius
Given:
Arc length (mXY) = 18 in
Radius (ZY) = 7.64 in
Plugging in the values:
Central angle (θ) = 18 in ÷ 7.64 in
Calculating the division:
θ ≈ 2.357 radians
Therefore, the central angle is approximately 2.357 radians.
To know more about Central Angle:
https://brainly.com/question/3293818
alyssa picked 5.39 pounds of blueberries she used 0.3 of those blueberries to make a pie, how many pounds did alyssa use
find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²What is 5/9 of 18? I need it for my homework.
Answer: 10
Step-by-step explanation:
(5 x 18) / 9 = 90/9 = 10
Answer:
Step-by-step explanation:
PLEASE HELPP
Which is an irrational number?
A
317, because it cannot be rewritten as an integer.
B
−6, because it is less than 0.
C
13−−√, because it cannot be expressed as either a terminating or a repeating decimal.
D
0.2971¯¯¯¯, because it is a repeating decimal.