The total surface area of the composite figure will be 134 square units.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
The dimensions of figure
Now,
The area of the shared face is already calculated as 20 square units. So, to find the total surface area, we subtract this from the sum of the surface areas:
TSA=(60+94)−20
TSA=154−20
TSA=134
Therefore, the area of the figure will be 134 square units.
Learn more about area of a composite figure here:
https://brainly.com/question/10254615
#SPJ3
Answer: The face that is shared with the rectangular prism is
✔ 2(5)
.
The area of each base of the rectangular prism is
✔ 10
square units.
The lateral area (excluding the shared face) for the rectangular prism is
✔ 18
square units.
The total surface area of the composite figure will be
✔ 66
square units.
Step-by-step explanation:
What’s the length of a leg of an isosceles right triangle whose hypotenuse is 100?
Answer:
The length of a leg of the isosceles triangle is 50√(2
Step-by-step explanation:
Since it is an isosceles right triangle, the length of the adjacent and the opposite is the same value which is let’s say x.
Mathematically; the square of the hypotenuse equals the square of the adjacent plus the square of the opposite according to Pythagoras.
Thus;
100^2 = x^2 + x^2
10000 = 2x^2
divide the through by 2, we have;
x^2 = 10,000/2
x^2 = 5,000
x = √5,000
x = √2,500 * 2
x = 50√2
Jeremy's scores for the first 20 times he played the card game, Clubs and Swords, are listed.
50, 199, 246, 356, 89, 210, 391, 325, 273, 250, 100, 172, 123, 167, 194, 172, 23,426, 75, 239. On a separate sheet of paper, create a frequency table and a histogram to display Jeremy's scores. Be sure to name your histogram.
Step-by-step explanation:
Please have a look at the attached photo.
This question must be answered through a picture for your understanding
Hope it will find you well.
Hurry 100 points for correct answer
Solve the equation. Identify any extraneous situations.
w=√7w
–7 is a solution of the original equation. 0 is an extraneous solution.
7 is a solution of the original equation. 0 is an extraneous solution.
0 is a solution of the original equation. 7 is an extraneous solution.
0 and 7 are solutions of the original equation.
Answer:
d)0 and 7 are solutions of the original equation.
Step-by-step explanation:
Let's solve your equation step-by-step.
w=√7w
Step 1: Flip the equation.
√7w=w
Step 2: Solve Square Root.
√7w=w
7w=w2(Square both sides)
7w=w2
7w−w2=w2−w2(Subtract w^2 from both sides)
−w2+7w=0
w(−w+7)=0(Factor left side of equation)
w=0 or −w+7=0(Set factors equal to 0)
w=0 or w=7
Check answers. (Plug them in to make sure they work.)
w=0(Works in original equation)
w=7(Works in original equation)
plz help will mark brainlest
Answer:
10[tex]\pi[/tex] meters.
Step-by-step explanation:
We know that to calculate the circumference of a circle, you must use the formula C=d[tex]\pi[/tex].
Since he swam half-way around the island, we will need to take half of our final answer.
To solve, you can begin substituting in the diameter by:
C=20[tex]\pi[/tex]
Now, take half of this answer.
[tex]\frac{C}{2}[/tex]=10[tex]\pi[/tex].
Find the HCF of 210 and 308
The HCF of 210 and 308 = 14.
What is the greatest common factor?The greatest number that can divide the numbers in equal parts.
It is called as greatest common factor.
Given:
Two numbers are 210 and 308.
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308.
The factors of 210 = 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
From the above factors,
HCF of 210 and 308 = 14.
Therefore, 14 is the required number.
To learn more about the greatest common factor;
https://brainly.com/question/11221202
#SPJ2
what is 8.0622577483 rounded to nearest tenth?
Answer:
it is 8.1
Step-by-step explanation:
if u see u round over or add 1 to the number if the number that is next to the number ur rounding is 5 or higher. and u do nothing when it is less than 5.
the tenth place is where the the zero is 0.0
and the number after is 6, so it is greater than 5, so it increases
Answer:8.1
Step-by-step explanation:
To round to the nearest tenth (the first decimal place), look at the number in the hundredth (the second decimal place) and round up or down. Since the number in the hundredths is a six, you round up.
You round down if the number is less than 5 and up if it is equal to or greater than 5.
3. The length of a rectangle is 3 times its width. The perimeter is 16 meters. Draw a picture to represent
this situation. Write an equation to represent the situation and solve it. What is the width?
4. Suppose you live near a park that has a bike trail you like to ride. The Park Department rents a bike with
safety equipment for $5 a day. If you provide your own safety equipment, the bike rental is $3 a day. You
could buy the equipment at a sports store for $28. How many times must you use the trail to justify
buying your own safety equipment? Support your answer mathematically or graphically.
Answer:
3.Width is 2
4. 14 times
Step-by-step explanation:
3.
3x + 3x + x + x = 16
16 = 8x
x=2
Width is 2
4.
5 - 3 = 2
Safety equipment costs $2 every day.
$28 divided by 2 equals 14
must ride the trail 14 times
Hope this helps! please mark brainliest!
What is the solution to the system of equations below?
Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21
Answer:
x=9, y=3
Step-by-step explanation:
-4x+6y=-18
y=-2x+21
-4x+6(-2x+21)=-18
-4x-12x+126=-18
144=16x
x=9
y=-2x+21
y=-18+21
y=3
Answer:
x=9, y=3
Step-by-step explanation:
(a) Give an inscribed angle:
(b) Give a minor are:
(c) Give a semicircle:
(d) Find m GH
(e) Find m GJI
Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4 . The probability that she catches the bus from the shop is 0.7 . Show the probability that sue walks at least one way is 0.72
Answer: P(A∪B)=0.72. The answer is provided below.
Step-by-step explanation:
Sue travels by bus or walks whenever she goes to the shops.
Probability of (catching the bus to shop ), P(A)= 0.4
Probability of (catching the bus from the shop ), P(B) = 0.7
Both of the events A and B are independent events.
Therefore, P(A∩B) = 0.4 × 0.7
= 0.28
Probability that Sue walks one way will be = 1 - P(A∩B)
= 1 - 0.28
= 0.72
Hence, the probability that Sue will walk at one way is 0.72
Final answer:
To find the probability that Sue walks at least one way, we calculate the complement of the probability of her taking the bus both ways. The probability of Sue taking the bus to and from the shops is 0.4 times 0.7, which equals 0.28. The probability that she walks at least one way is then 1 minus 0.28, giving us 0.72.
Explanation:
The question involves calculating the probability that Sue walks at least one way to or from the shops, given the probabilities of her taking the bus. We are given that the probability of Sue catching the bus to the shops is 0.4 and from the shops is 0.7. To find the probability of walking at least one way, we consider the complement of the event that she takes the bus both ways.
Firstly, we calculate the probability that she takes the bus both ways:
P(Bus to and from shops) = P(Bus to shops) × P(Bus from shops) = 0.4 × 0.7 = 0.28
Now, the probability that she doesn't take the bus both ways (which means she walks at least one way) is the complement of the above event:
P(Walk at least one way) = 1 - P(Bus both ways) = 1 - 0.28 = 0.72
Therefore, the probability that Sue walks at least one way is indeed 0.72, as required to show.
1 Quincy created the table of x and y
values shown here.
1
2
3
y
10
8
6
4
Which equation represents the relationship
between the x values and the y values in
the table?
A y=-2x + 12
B y= 5x + 5
Cy= 4x+6
D y=-2x - 12
Final answer:
The correct equation representing the relationship between x and y values is y = -2x + 12. This is found by recognizing the pattern in the table and using the slope-intercept form to find the slope and y-intercept. Thus, option A is correct.
Explanation:
The student is asking to determine which equation represents the relationship between the x values and the y values in the given table. To find the correct equation, we examine the pattern of changes in the x and y values.
The y values decrease by 2 as the x values increase by 1, indicating a slope of -2.
Starting with the x value of 1, which corresponds to a y value of 10, we apply the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
We find that the y-intercept, b, must be 12 to satisfy the equation when x is 1 (10 = -2(1) + b).
Thus, we can conclude that the equation representing the relationship between x and the y values is y = -2x + 12, which is option A.
This type of equation is a linear equation and the slope-intercept form is particularly useful for quickly identifying the slope and y-intercept of the line represented by the equation.
Helppp I really need help in this one
Answer:
m = 24
Step-by-step explanation:
(m + 7) + 2m + 11 = 90
3m + 18 = 90
3m = 72
m = 24
Put in Order from least to greatest -10,8,-25,0,-18
Answer:
-25,-18,-10,0,8
Step-by-step explanation:
Answer:
-25,-18,-10,0,8
Step-by-step explanation:
The more negative it is, the more less it is...so if you put them from least to greatest...it is...-25,-18,-10,0,8
25% equals what decimal
Answer:
0.25
Step-by-step explanation:
25% can be written as the decimal 0.25. The word 'percent' means 'per 100. ' So, 25 percent is the same as 25 out of 100.
Answer:
[tex]25\% = \frac{25}{100 } \\ \\ 25\% = 0.25[/tex]
Answer quick for brainliest
Answer:
x=-15
x=6
x=3
x=-21
Step-by-step explanation:
What is the area of the following circle? Please tell me how you did it
A cylinder has surface area of 256 square millimeters and a height of 8 millimeters. What is the
diameter in millimeters?
Answer: 7.07
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Hurry 50 points for correct answer
Solve the equation. Identify any extraneous situations.
x=√6x+7
1 is a solution to the original equation. The value –7 is an extraneous solution.
7 is a solution to the original equation. The value –1 is an extraneous solution.
7 and –1 are solutions.
7 and 1 are both extraneous solutions.
Answer: "7 is a solution to the original equation. The value –1 is an extraneous solution."
Step-by-step explanation:
The equation [tex]x=\sqrt{6x+7}[/tex] can be solved by squaring both sides:
[tex]x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0[/tex]
We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:
[tex]1 = \sqrt{-1}\\ 7 = \sqrt{49}[/tex]
The square root of 49 equals 7, but the square root of -1 is an imaginary number.
The correct choice is "7 is a solution to the original equation. The value –1 is an extraneous solution."
Answer: "7 is a solution to the original equation. The value –1 is an extraneous solution."
Step-by-step explanation:
I WILL DO ANYTHING PLZ HELP MEE
Find the equation for the table.
Answer:
y = 5 * (1/2)^x
Step-by-step explanation:
This is an exponential function
y =ab^x
where a is the initial value ( where x = 0)
a = 5
y = 5 * b^x
Pick a point to determine b
(1,2.5)
2.5 = 5 * b^1
2.5 = 5 *b
Divide each side by 5
2.5/5 = b
b = 1/2
y = 5 * (1/2)^x
plz help! i will award brainliest!
Answer:
median 15
range 20-11 = 9
25th = 14
75th = 17
inter = 17-14 = 3
Step-by-step explanation:
Answer:
The Median would be 15
Range is = 9
25th percentile = 14
75th percentile = 17
interquartile range= = 3
State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc.
Answer:
No, there are no inscribed angle in this diagram; Option D
Step-by-step explanation:
~ Let us apply process of elimination to solve this problem ~
Option 1. This first example states firstly that m∠SRT is an inscribed angle. That is not true, by definition an inscribed angle is an angle created by two chords that share a common endpoint. Neither RS nor RT are chords, in fact they each are radii, creating a central angle instead.
Option 2. m∠RST is not created by two chords, instead by arc ST and radii RS ⇒ and I believe I am not familiar with what angle it is reffered to, if at all it is named.
Option 3. As stated before, ∠SRT is not an inscribed angle; by definition an inscribed angle is an angle created by two chords that share a common endpoint, and neither RS nor RT are chords.
Option 4. Through elimination, Option D is the only possible answer left: Answer: No, there are no inscribed angle in this diagram
A movie complex is showing the same movie in three theaters. In theater A, 72 of the 90 seats are taken. In theater B, 51 seats are taken and 9 seats are empty. In theater C, 28 of the 80 seats are empty. Which theater has the greatest percent of its seats taken?
Answer:
The answer is A
Step-by-step explanation:
hope this helps
An insurance company has a merit rating system for customers who have not filed a claim in the previous year. For each year that a customer does not file a claim, their rate is reduced by 10%, and a credit of $5 is awarded. If a customer did not file a claim in the nth year, which equation shows the customer's rate in the (n + 1)th year as a function of their rate in the nth year?
A.
f(n + 1) = f(n) - 0.1f(n) - 5
B.
f(n + 1) = f(n) - 0.1f(n) + 5
C.
f(n + 1) = f(n) + 0.1f(n) + 5
D.
f(n + 1) = f(n) - 0.1f(n) - 10
Answer: B
Step-by-step explanation:
For each year that a customer does not file a claim, their rate is reduced by 10%,
This means that every year that passes, we have a subtraction of a 10% (or 0.1 in decimal form)
And also for each yearm we have a credit of $5 awarded, this means that we have an addition of $5.
Then the relation is:
f(n + 1) = f(n) - 0.10*f(n) + $5
The correct option is B
What’s the answer for this question ?
Find the equation of the circle with center at (3,-2) and radius of 3.
(x - 3)2 + (y + 2)2 = 9
(x - 3)2 + ( + 2)2 = 3
b. (X + 3)2 + (-2)2 = 9
d. (x+ 3)+ (x - 2)2 = 3
Answer:
[tex](x - 3)^2 + (y + 2)^2 = 9[/tex]
Step-by-step explanation:
[tex](x - x1)^2 + (y - y2)^2 = r^2[/tex]
Now that you know the formula, you can just add in the numbers from your coordinate point and radius with their respective signs.
[tex](x - 3)^2 + (y + 2)^2 = 9[/tex]
what is 7.849+0.09? can you help me find the answer?
Answer:7.939
Step-by-step explanation:
HELP URGANT WILL GIVE 20 POINTS AND BRAINLIEST FOR FAST AND ACCURATE ANSWER !!!
What is the relationship between the sine and cosine of the complementary angles in this diagram?
Drag and drop the answers into the boxes to correctly complete the statements.
Both cos(17°) and sin(x°) can be represented by the ratio-------- . The angles measuring 17° and x° are complementary angles. This means x° + 17° =--------- . Therefore, x = -----. Since cos(17°)=sin(x°) , this also shows that cos(17°)=sin(------ )°.
these are the possibilities for the blanks:
a/b
a/c
b/c
90 degrees
180 degrees
90-17
180-17
Answer:
Both cos(17°) and sin(x°) can be represented by the ratio a/c. The angles measuring 17° and x° are complementary angles. This means x° + 17° = 90°
Therefore, x = 90-17 Since cos(17°)=sin(x°), this also shows that cos(17°)=sin( 90-17)°
this is the correct answer.
The required possibilities for the blanks as b/c, 90 degrees, (90° - 17°), and (90° - 17°). Where 17° and x° are complementary angles
What are complementary angles?The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles.
In the given question,
Both sin(17°) and cos(x°) can be represented by ratio b/c because values of sin(17) and cos(x) are b/c.
Since 17° and x° are complementary angles, hence the value of x will be = 73 degrees. And sin(17°) = cos(x°), therefore sin(17°) = cos(90° - 17°).
Therefore, the required possibilities for the blanks as b/c, 90 degrees, (90° - 17°), and (90° - 17°).
Learn more about complementary angles here:
brainly.com/question/5708372
#SPJ3
What is the value of the expression? 100-9^2 divided by 3
(100-9^2)/3
PEMDAS: parenthesis, exponents, multiply, divide, add, subtract
Lets' work on the parethesis first.
100-9^2
We can do the exponent first, 9^2=81, so 100-81=19
Then we divide and 19/3 is your final answer.
Answer:27.3 or 27
Step-by-step explanation:
100 -18= 83
83 divided by 3 is 27.3 or 27
The experimental probability that Josie dad gets home from work between 5 p.m. and 6 p.m. is equal to 5/8 . About what percent of the time will Josie dad get home from work between 5 p.m. and 6 p.m.
Answer:
62.5%
Step-by-step explanation:
In this case we have the information we need to calculate the percentage because they give us the necessary experimental probability, we only have to pass the probability to its percentage form.
We know that probability can be converted to a percentage by multiplying the value of probability by 100, like so:
5/8 * 100 = 62.5
In other words, the probability that it will arrive at that time is 62.5%
Find the surface area of the triangular prism. *
Answer:
1032 yds
Step-by-step explanation:
Al =(a+b+c)h