Yasin has tried to work the size of the angle marked g in the regular decagon below, using the fact that exterior angles sum to 360°. His workings are shown below.
a) Write a sentence to explain what Yasin has done wrong.
b) What is the size of angle g? Show all your workings.
well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.
Answer: 36 is wrong
Step-by-step explanation: 360 - 36 = 324 degrees
4. At Rory’s school, students must join one after-school club. Based on the data in Graph #2, which club attracted about 30% of students?
A. yearbook
B. art
C. drama
D. hiking
E. running
F. science
5. Approximately What percent of students chose not to join the yearbook club?
A. 15%
B. 30%
C. 75%
D. 85%
E. 90%
6. About what percent of students joined the art club?
A. 30%
B. 25%
C. 20%
D. 15%
E. 5%
What is the value of the expression 10 − (1/2)^4 ⋅ 48?
2
4
5
7
Answer:
The correct answer is option 4
(The value of the expression is 7)
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Find area of trapezoid
Answer:
The area of the trapezoid would be 115 inches.
Three research departments have 8 ,10 , and 7 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?
We can conclude that exists 211680 ways.
How many ways can this be done?We know that the three research department is have 8, 10, and 7 members.
We choose a delegate and an alternate to represent the department.
First case: department have 8 members.
So, for a delegate, we have 8 options, and for a alternate 7, so a total of
\(8 \times 7 = 56 \ \text{options}\)
Second case: department have 10 members.
So, for a delegate, we have 10 options, and for a alternate 9, so a total of
\(10\times 9 =90 \ \text{options}\)
Third case: department have 7 members.
So, for a delegate, we have 7 options, and for a alternate 6, so a total of
\(7\times6 = 42 \ \text{options}\)
Therefore, we get:
\(56 \times 90 \times 42 = \bold{211680}\)
Hence, we conclude that exists 211680 ways.
For a similar problem about this, please click the link below:
https://brainly.com/question/30958797
i need help with this problems
Answer:
Step-by-step explanation:
y = mx + b
0 = 300,10 + 240 =550
Apply the distributive property to create an equivalent expression.
4(x - 2 + y) =
Answer:
4x - 8 + 4y
Step-by-step explanation:
When an expression inside a pair of brackets is multiplied by a value, all you need to do is multiply each term inside the brackets by that coefficient:
4(x - 2 + y)
= 4 × x - 4 × 2 + 4 × y
= 4x - 8 + 4y
Callie evaluated the expression 0.42 times 4.73 using the steps shown below.
0.42 times 4.73 = 1.26. 1.26 + 29.40 + 168.00 = 198.66
Which best explains Callie’s error?
Callie incorrectly placed the decimal.
Callie multiplied incorrectly.
Callie added incorrectly.
Callie incorrectly used placeholder zeros.
Answer:
Callie multiplied incorrectly
Step-by-step explanation:
Here we have 0.42 × 4.73 = 1.9866 then
1.9866 + 29.4 + 168 = 199.3866
we had 0.42 × 4.73 = 1.26 which is incorrect meaning that Callie multiplied incorrectly
Callie multiplied as follows
0.42 × 3 = 1.26 but what was in the question was
0.42 × 4.73 which is equal to 1.9866.
Answer:Callie multiplied incorrectly
Step-by-step explanation:
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
The United States Postal Service delivers about 2^4x3x5^3 pieces of mail each second. There are 2^8x3^4x5^2 seconds in six days. how many pieces of mail does the United States Postal Service deliver in six days? Write your answer as an expression involving three powers.
Answer:
2^12x3^5x5^5
Step-by-step explanation:
- The problem gives us the pieces of mail delivered per second and the amount of seconds in six days, so to find the pieces of mail delivered in six days we need to multiply pieces per second by seconds in six days.
-The pieces of mail delivered per second is 2^4x3x5^3, and seconds in six days is 2^8x3^4x5^2, therefore we must multiply (2^4x3x5^3)x(2^8x3^4x5^2)
-When multiplying powers with the same base, you need to add the exponent, for example 2^4 has the same base as 2^8, so when multiplying 2^4 and 2^8, we would have a product of 2^12
-Repeat this process with the remaining powers:
-3x3^4=3^5
-5^3x5^2=5^5
-Write the expression with the three powers
2^12x3^5x5^5
lmk if I made any errors, hope this helped :)
HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!
REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!
The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?
Answer:
(10t + u)(10u + t) = 4,930
100tu + 10t^2 + 10u^2 + tu = 4,930
101tu + 10t^2 + 10u^2 = 4,930
10t^2 + (101u)t + (10u^2 - 4,930) = 0
(101u)^2 - 4(10)(10u^2 - 4,930)
= 10,201u^2 - 400u^2 + 197,200
= 9,801u^2 + 197,200
We see that u = 5 gives 442,225.
√442,225 = 665
(10t + 5)(50 + t) = 4,930
500t + 10t^2 + 250 + 5t = 4,930
10t^2 + 505t - 4,680 = 0
2t^2 + 101t - 936 = 0
t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)
= (-101 + √17,689)/4
= (-101 + 133)/4 = 32/4 = 8
So the numbers are 58 and 85.
58 + 85 = 143
if the area of square 1 is 250units² and the area of square 3 is 120units² what is the area of square 2? Explain your reasoning.
Answer:
It 100 units
Step-by-step explanation:
Ramon is saving $7.75 per week to buy a new cellphone. The phone he want cost $125.00. For how many weeks will need to save his money? first estimate your answer. Then figure out the actual number of weeks
use a ratio box to solve this problem. There were 144 books about mammals in the library. If the ratio of books about mammals to books about plants was 9 to 8, how many books about plants were in the library?
Answer:
128 books
Step-by-step explanation:
144:x
9:8
9x=(8*144)
9x=1152
X= 1152/9
X=128
Find the number with the following arithmetic square root. 0.
Answer:
0 (\(\sqrt{0}\) = 0)
Step-by-step explanation:
If 0^2 = 0 because 0 x 0 = 0, then the reverse function (square root) would result in 0.
Can someone answer this I don't understand please!
Answer:
The answer is the last one, so you're correct.
Explanation:
In order to get 9, you multiply by 3 and to get to 6, you multiply by 2. Thus, you would multiply 7 both by 3 and 2 to get 21 and 14. Hope that helps.
What is the radius and diameter of the following circle? 4.2cm Please help
Answer:
The radius is 4.2 and the diameter is always twice the amount of the radius so its 8.4.
Step-by-step explanation:
Answer: R = 4.2cm and D = 8.4cm
Step-by-step explanation: The diameter of a circle is the full line across the circle. The radius of a circle is half of its diameter. The line shown go's halfway through the circle so its the radius. To find the diameter you multiply the radius by 2.
\(4.2 * 2 = 8.4\)
What are the measures of angle b e c and angle a b e in the figure shown? (30 points.)
Answer:
4x+10-32x3
Step-by-step explanation:
How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle.
The length of the rectangle is (Choose: 4, 5, 8,or 10) units.
The width of the rectangle is (Choose:4, 5, 8,or 10) units.
The area of the rectangle is (Choose: 10, 16,20,or 25)square units .
The area of the triangle is half the area of the rectangle, so the area of the triangle is (Choose:10, 16, 20 or 25) square units.
Answer:
1. 4
2.5
3.20
Step-by-step explanation:
you literally just count the squares
1. 4 (height)
2. 5 (length)
3. 20 because you multiply 4×5
4. Devide 20 by 2 and you get 10 units.
Fifteen minus three to the power of two
Is this correct please help thank you
15 - 3 to the power of 2
15 - 3x3= 9 15-9= 6
Answer:
The answer 6
3x3=9
15-9=6
So you are correct
If Mark earns $450 interest on a 3 year investment of $6000, what is the interest rate?
A. 8%
B. 6.5%
C. 2.5%
D. 4.5%
Answer: D. 4.5%
I USED AN INEVESTMENT CALULATOR
PLEASE ANSWER QUESTION FAST. MAKE SURE ANSWER IS CORRECT!!
Carlton is solving a linear equation using the steps shown.
Equation: Negative 4 x + 12 = negative 6 x
Step 1: Add 4x to both sides: 12 = negative 6 x + 4 x
Step 2: Combine like terms: 12 = negative 2 x
What is the next step he needs to complete in order to solve the equation?
Add –2 to both sides of the equation.
Subtract –2 from both sides of the equation.
Multiply each side of the equation by –2.
Divide each side of the equation by –2.
Answer:
D
Step-by-step explanation:
Divide each side of the equation by –2.
Answer:
d
Step-by-step explanation:
Solve the system using elimination and find the y and x coordinates
Answer:(-1,1)
Step-by-step explanation:
Answer:
Your answer is: (2,-1). I provided a picture in case you need to show your work.
Solve for n.
–18.4 = 3.2(n + 3) + 0.8
please help!!
Answer: n= -9
Step-by-step explanation:
-18.4 = 3.2(n + 3) + 0.8
-18.4 = 3.2n + 9.6 + 0.8
-18.4 = 3.2n + 10.4
-28.8 = 3.2n
-9 = n
What is the equation of this graphed line?
Answer: y=-9/8x+7
Step-by-step explanation:
Serena was planning out her model railroad setup, and wants to be able to boast about it on her social media. She wants the centerpiece to be a scaled down version of Union Station, but wants to make sure she has enough space in her grandfather's basement. Her railroad is in N Scale, 1:160 (one foot on the model is 160 feet in real life). If Denver's Union Station is 495 feet long, how many inches long will the model be as a mixed number?
Answer:4
Step-by-step explanation:
Answer:
idk sorry
Step-by-step explanation:
Help please improve confused
what are you confused with
Answer: What
Step-by-step explanation:
HELP ASAP For 3x + -12 and the multiplicative inverse of 3, what is the expression in standard form.
Question 1 options:
3x + -4
3x + 4
x + - 4
x + 4
The sum of two consecutive numbers is fifty-five. What are the numbers? If the smallest of two even consecutive numbers is x, the equation is. Plz help quickly
Answer:
The sum of two consecutive number is 55'which is the largest number? So the numbers are 27 and 28.
Step-by-step explanation:
If we say \(x\) is the first number, then the next consecutive number will be \(x+1\).
Using this, we can make an equation.
\(x+(x+1)=55\)
\(2x+1=55\)
\(2x=54\)
\(x=27\)
And so we know that the two consecutive numbers are 27 and 28.
Hope this helps.
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