Answer:
7.8 cm
Step-by-step explanation:
The relevant formula is ...
A = 1/2aP . . . . where a is the apothem, and P is the perimeter.
For a regular 12-gon the perimeter is 12 times the side length, so we have ...
P = 12s = 12(4.2 cm) = 50.4 cm
Then the apothem is found from ...
197 cm² = (1/2)a·(50.4 cm)
a = 197/25.2 cm ≈ 7.81 cm
The apothem is about 7.8 cm.
__
Additional comment
A regular 12-gon with a side length of 4.2 cm will have an area of about 197.500 cm². The apothem will be about 7.837 cm. The area of a regular n-gon can be calculated from the side length as ...
A = ns²/(4·tan(180°/n))
Similarly, the apothem will be ...
a = s/(2·tan(180°/n))
do the expression -2^3and (-2)^3 have the same value
Answer:
no
Step-by-step explanation:
The left side 8 does not equal to the right side −8, which means that the given statement is false.
Challenge Last month, Stephen's neighbors paid him to take care of their dog when they went on
vacation. He spent $3 of his earnings on an afternoon snack and $16 on a new book. Afterward,
he had no less than $6 left. How can you best describe how much Stephen's neighbors paid him?
Select the correct choice below and fill in the answer box to complete your choice.
O A. They paid him exactly $
OB. They paid him no less than $
OC. They paid him no more than $
Answer:
his neighbors payed him 25 dollers
Step-by-step explanation:
3+16=19
19+6=25
please answer with explanation
Answer: 624
Step-by-step explanation:
The area of a rhombus is the product of the diagonals divided by 2 so the area of the rhombus in this case is 12 * 16 / 2 or 96 multiply with 6.5 we get 624 so that's the answer
If f(x) = -x-11 ; find the following.
4f(-2) + 5f(1)
The value for the given expression will be -96.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
E = 4(-(-2) - 11) + 5(-1 - 11)
E = 4(-9) + 5(-12)
E = -36 + (-60)
E = -96
Therefore, the value for the given expression will be -96.
To know more about an expression follow
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b How
many
miles would
you 1 ride if you rode a quarter-century?
Answer:
A century ride is 100 miles, hence the "century" name. A 100-kilometer bike ride is called a "quarter century" and converts to roughly 62 miles.
# be care #
Bananas cost $0.70 per pound and a bunch of bananas on the scale weight 6.4 pounds. How much would a customer pay for this bunch of bananas
Answer:
$4.48
Step-by-step explanation:
Multiply
6.4 x .70
$4.48
Choose the equation of the line in slope-intercept form.
Parallel to the x-axis and has the point (-1,9).
A. x = -1
B. y = 9
C. y = -1
D. x = 9
Answer:
B) y = 9
Step-by-step explanation:
Equation of a line in slope-intercept form: y = mx + b
(where m is the slope (gradient) and b is the y-intercept)
If the line is parallel to the x-axis, the slope is zero.
Therefore, y = (0)x + b
⇒ y = b
We are told that the line passes through point (-1, 9). Therefore, the y-intercept is 9.
So the equation of the line is: y = 9
M varies directly as the square of N. if N increases by 10%,find the percentage change in M
Answer:
21%
Step-by-step explanation:
I think this id right but not 100% sure. I made N a random number (5 in my case) then squared it to make it 25. That means M is 25. So if we increase N by 10 percent (.5) it is 5.5 x 5.5 = 30.25. Then i found the difference between the two (5.25) and found the percentage difference (21%). Basically divided 5.25 by 25 and that is the answer. Hope this is right!!!!
What are the like terms in the expression 3n + 2m - 2 + 3m?
Answer:
2m and 3m
Step-by-step explanation:
Given the following question:
[tex]3n+2m-2+3m[/tex]
Like terms are terms with the same variables. In this case "2m and 3m" are like terms, since they both have the same variable which is m. Which means, we would rewrite the equation as so when trying to solve:
[tex]3n+2m+3m-2[/tex]
Hope this helps.
Which expression represents 5 more than 2 times the value of n?
A. 2(n + 5)
B. 5(2 + n)
C. 2n + 5
D. 5n + 2
WHO EVER HELPS FIRST GETS BRAINLIEST
You know x is a number less than 4. Select all the inequalities that must be true.
x-2 > 2
x+6 < 10
x < 2
5x < 20
x < 8
Answer:
x+6 < 19
5x < 20
x < 8
Step-by-step explanation:
To solve this problem, you have to plug in numbers for every statement to see if it is true or not. You know that x is a number less than 4, so we can use 3 as an example.
x-2 > 2 | ❌
This can be rewritten as 3-2 > 2 (since we are plugging in 3, any number less than 4 works)
That is equal to 1 > 2, which is not correct. One is not larger than two.
x+6 < 19 | ✅
This can be rewritten as 3+6 < 19 (for the same reason as above)
That is equal to 9 < 19. 19 is greater than 9, so this is correct.
x < 2 | ❌
This can be rewritten as 3-2 > 2.
That is equal to 1 > 2, which is wrong.
5x < 20 | ✅
This can be rewritten as 5 x 3 < 20
That is equal to 15 < 20, which is correct. 15 is less than 20.
x < 8 | ✅
This can be rewritten as 3 < 8.
3 is less than 8, so this is correct.
-------------------------
I hope that this was helpful! Have a good day.
A DVD player cost rupees. 3895. What is the cost 45 such players?
Answer:
175,275 rupees
Your patient IV bag holds 1000 ml of normal saline. An hour later, you see that 750ml is left. What percentage of the saline has been infused? What percent do you expect to be remaining two hours after that?
Answer:
25% has been used in an hour. 2 hours later, it will be at 25%
Step-by-step explanation:
if 1000ml is the starting amount, and we know that 250ml is subtracted every hour, then we know that in 2 hours, 500ml will be infused, leaving 250ml (25%) saline left.
A machine can pack a 3 ft by 2 ft by 2 ft carton with packing material in 3 seconds. How long would it take to fill a carton that measures 4 ft by 5 ft by 6 ft?
6.4 sec
24 sec
36 sec
30 sec
1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³
Therefore:
A machine can fill 12 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
12 ft³---------------------3 seconds
120 ft³-------------------- x
x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.
answer: 30 seconds.
Please mark brainliest if it helped
calculate using any method:
a. 8250÷50
b. 256×15
The function g is defined by the following rule. g (x) = 4x + 4
Solve for d.
4 + 20 = 8
d =
[tex]4 + 20 = 8d \\ \\ 8d = 24 \\ \\ d = \frac{24}{8} \\ \\ d = 3.[/tex]
The value of d is 3 .
a rectangle is bounded by the x-axis and the semicircle
a rectangle is bounded by the x-axis and the semicircle
y = 36 − x 2
Find sinx+cosx if sinx*cosx=3/8
Answer:
[tex]^+_-\frac{\sqrt{7}}{2}.[/tex]
Step-by-step explanation:
[tex]1.| \ sinx+cosx| =\sqrt{(sinx+cosx)^2}=\sqrt{sin^2x+2sinxcosx+cos^2x}=\sqrt{1+2sinxcosx};[/tex]
2) according to the item 1:
[tex]sinx+cosx=^+_-\sqrt{1+2*\frac{3}{8}} =^+_-\sqrt{\frac{7}{4}}=^+_-\frac{\sqrt{7} }{2}.[/tex]
A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 9? Express your answer as a fraction or a decimal number rounded to
four decimal places
Answer:
1/6 or 16 2/3 %
Step-by-step explanation:
There are 6 possibilities, 10, 10, 10, 11, 11, 12 out of 36 total possible outcomes.
6/36
1/6
Brianna has $2.80 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and six more nickels than quarters. How many of each coin does she have?
Answer:
She has 4 quarters, 13 dimes, and 10 nickels in her purse
Step-by-step explanation:
Let q be the amount of quarters, d be the amount of dimes, and n be the amount of nickels she has in her purse. We can use this to set up a system of equations:
25q+10d+5n=280
This is because a quarter is 25 cents, a dime is 10 cents, and a nickel is 5 cents. We also have to convert $2.80 to cents since all our other values are in cents.
d=q+9
She has 9 more dimes than quarters
n=q+6
She has 6 more nickels than quarters
We can solve this system using substitution (substitute q+9 for d and q+6 for n)
25q+10(q+9)+5(q+6)=280
25q+10(q)+10(9)+5(q)+5(6)=280
25q+10q+90+5q+30=280
40q+120=280
Subtract 120 from both sides
40q=160
Divide both sides by 40
q=4
Now we plug this back into the other equations to find the amount of nickels and dimes
d=q+9=4+9=13
n=q+6=4+6=10
She has 4 quarters, 13 dimes, and 10 nickels in her purse
Perimeter 80 ft. Length is 4 times the width. What is the length and width
could someone please help me
Answer:
A is correct since,
x>-3 and x<1
x=(-2,-1,0)
|x+1|<2
|-2+1|<2
|-1|<2
1<2
|-1+1|<2
|0|<2
0<2
|0+1|<2
|1|<2
1<2
Therefore A is correct
please mark me brainliest
*PLEASE HELP* *ANY IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*
After 30 baseball games, Bryce Harper had 25 hits and after 100 games he had 165 hits. How many hits would he have after 106 games?(include units)
Find Slope(Rate of Change):
Then Find the Amount After 106 games.
Answer:
177 hits
Step-by-step explanation:
Let [tex]x[/tex] = number of baseball games
Let [tex]y[/tex] = number of hits
(30, 25) = [tex](x_1,y_1)[/tex]
(100, 165) = [tex](x_2,y_2)[/tex]
Slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{165-25}{100-30} =2[/tex]
Using the point-slope formula to create an equation:
[tex]y-y_1=m(x-x_1)\\\\\implies y-25=2(x-30)\\\\\implies y=2x-35[/tex]
Now substitute [tex]x = 106[/tex] into the equation and solve for [tex]y[/tex]:
[tex]\implies y=(2 \times 106)-35=177[/tex]
Therefore, the number of hits Bryce would have after 106 games is 177
Take 2 points
(30,25)(100,165)Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{165-25}{100-30}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{140}{70}=2[/tex]
Equation in point slope form
[tex]\\ \rm\hookrightarrow y-25=2(x-30)[/tex]
[tex]\\ \rm\hookrightarrow y-25=2x-60[/tex]
[tex]\\ \rm\hookrightarrow 2x-y-35=0[/tex]
Convert to slope intercept form y=mx+b[tex]\\ \rm\hookrightarrow y=2x-35[/tex]
Put x=106[tex]\\ \rm\hookrightarrow y=2(106)-35=212-35=177[/tex]
Graph any third-degree polynomial (a cubic graph) that has exactly one x-intercept, a relative/global minimum at (-2.1), and a relative/
global maximum at
(4,3)
Step-by-step explanation:
A notable ______ of the symposium was the speech by a famous entrepreneur.
The graph below represents which of the following functions?
-12
-10
-8
-
-4
-2
10
12
-2
Web Store
F(x) =
A.
||>31
F(x) =
O B.
(3 - x x 35
(x + 1x2]
(3 - x x 21
x x=1
(x - 2x225
F(x) =
C.
Answer: The function that represents the inequality of the given graph is;
Option A
Graph Inequalities
From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.
Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.
Looking at the options, option A is right and we will prove it thus;
for y = x³ - 3
At x = 2, we see that;
y = 2³ - 3
y = 5
This corresponds with the given equation
For the second curve, for y = x² + 6;
At x = 2, we have;
y = 2² + 6
y = 4 + 6
y = 10
This corresponds with what is given and is thus correct.
This, option A is the correct answer
Read more about graphed inequalities at; brainly.com/question/11234618
Two consecutive angles of a parallelogram are supplementary. 4. Always true C Never true 5 Sometimes true D. Sometimes false Which of the following statements are NOT TRUE about parallelograms? A Adjacent sides are congruent. e The opposite angles are congruent. C. Consecutive angies are supplementary Diagonals bisect each other. Two consecutive angles of a parallelogram have measures of (2x + 7 3x - 2)". What is the measure of the larger angle? A 103 C. 1339 B 73 D. 107 What is the measure of 22 in rhombus TRUE? 90" 80° 3/ 100 2 R Refer to the figure at rhombus TRUE in item 7. What is the measure of 21 is 100 A 80 C. 110 B 90 D 100° Which of the following group of quadrilaterals have diagonal tha perpendicular A Rectangle square C.Rhombus, rectangle Rhombus square D. Rectangle, rhombus, and s 10 Which of the following is NOT a characteristic of parallelograms? A Diagonals are angle bisector B. Diagonals bisect each other Opposite angies are congruent o Consecutive sides are congruent . We the following is NOT ar
Adjacent sides of a parallelogram are not congruent.
QuadrilateralA quadrilateral is a polygon with four sides and and four angles. A parallelogram has opposite sides parallel and equal. Two consecutive angles of a parallelogram are supplementary. Opposite angles and diagonals are congruent. The diagonals bisect each other.
(2x + 7) + (3x - 2) = 180 (consecutive angles)
x = 35°
Find out more on Quadrilateral at: https://brainly.com/question/23935806
Can someone help me with this ASAP please
Answer:
6+(2x5)=60
Step-by-step explanation
10+(2x5)=20
20+(2x5)=30
30+(2x5)=40
40+(2x5)=50
50+(2x5)=60
Which matrix respresents the system of equations shown below?
4x - 2y = 12
2x - 3y = 8
Answer:
Hey, kevinlopez1225, your answer is Number one!
Astradele
PLEASE HELP ME
ILL GIVE BRAINLIEST
Answer:
r=8cm/2=4cm
using Pythagoras theorem.
(Slant height)²=radius²+height²
slant height²=(4cm)²+(9cm)²
s²=16cm²+81cm²
s²=97cm²
s=(97cm²)⁰'⁵
s=9.8cm
hope it was helpful.
the slant height is 9.8cm