Answer:
1260°
Step-by-step explanation:
Number of sides was given as 9, hence ( n= 9)
Sum of interior angle of a polygon can be determined using the expression below
[(2n-4)90°]
Substitute n=9
[((2×9) -4)) ×90]
= [(18-4)×90]
(14×90)=1260°
Hence, angle sum of polygon which had 9 sides is 1260°
What is the slope of a line perpendicular to the line whose equation is x + 3y = -12
Answer:
5
Step-by-step explanation:
,
A grab-bag contains 30 packages worth $.65 each, 10 packages $.60 cents each, and 15 packages worth $.30 each. What is the expected value if you have to pay $.50 to pick one package at random?
Answer:
Expected value of package = $0.04 (Approx.)
Step-by-step explanation:
Given:
30 packages at $0.65 each
10 packages at $0.60 each
15 packages at 0.30 each
Pick up price for random one = $0.50
Find:
Expected value of package
Computation:
Total cost of 30 package = 30 x 0.65
Total cost of 30 package = $19.5
Total cost of 10 package = 10 x 0.60
Total cost of 10 package = $6
Total cost of 15 package = 15 x 0.30
Total cost of 15 package = $4.5
Total cost = 19.5 + 6 + 4.5
Total cost = $30
Cost of random package = 30 / [30+10+15]
Cost of random package = $0.54
Expected value of package = 0.54 - 0.50
Expected value of package = $0.04 (Approx.)
Together they swam a total of 175 laps. Swimmer B swam 25 more than twice as many laps as Swimmer A.
Answer:
75
Step-by-step explanation:
175= 25+2a
The number of laps that Swimmer A swam was 50 laps.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Let we suppose that:
Swimmer A swam x lapsSwimmer B swam y laps.Then, according to the given data, we have:
x + y = 175 laps
y = 25 + 2x (25 more than twice of laps of A is the number of laps of B).
Thus, we get a system of two equations as:
[tex]x + y = 175\\y = 25 + 2x\\[/tex]
From second equation, putting value of y in first equation, we get:
[tex]x + (25 + 2x) = 175\\3x + 25 = 175\\3x = 150\\\\x = \dfrac{150}{3} = 50 \: \rm laps[/tex]
As x is the number of laps Swimmer A swam, thus, the number of laps that Swimmer A swam was 50 laps.
Learn more about solving system of linear equations here:
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Find the value of y when x= 7.
y=-4x
Answer:
y = -28
Step-by-step explanation:
y=-4x
Let x=7
y = -4*7
y = -28
explain how to evaluate simplify and convert to radical form (x^3/8)^3/4
Answer:
[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]
Step-by-step explanation:
Given
[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]
Required
Convert to radical form
[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]
Evaluate the exponents
[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}[/tex]
[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}[/tex]
Split the exponent
[tex](x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}[/tex]
Apply the following law of indices
[tex](x^a)^\frac{1}{b} = \sqrt[b]{x^a}[/tex]
So, we have:
[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]
3/4y+6=0 steps in order
Answer : y = - 8
3/4y+6=0
Step 1: Subtract 6 from both sides :
3/4y + 6 - 6 = 0 - 6
3/4y = -6
Step 2: Multiply both sides by 4/3 :
( 4/3 ) × ( 3/4y ) = ( 4/3 ) × ( -6 )
Final answer is y = - 8
20. A construction company is hired to resurface a straight section of road.
• The section is 100 yards long and 18 feet wide.
• The company's truck can haul 250 cubic feet of gravel per load.
What is the minimum number of truckloads required to completely cover the section of
road to a depth of 6 inches?
A 3
B. 4
C.
10
D. 11
Answer:D
Step-by-step explanation:
Convert 100 yards to feet, which becomes 300 feet.
6 inches into feet, 0.5 feet.
18 feet times 300 feet times 0.5 feet is 2700 cubic feet.
Divide 2700 by 250 and you get 10.8. Meaning, you need 11 trucks since there is a remaining 0.8.
The minimum number of truckloads required to completely cover the section of road to a depth of 6 inches should be 11.
Calculation of the minimum number:Since
The section is 100 yards long and 18 feet wide. The company's truck can haul 250 cubic feet of gravel per load.
So here first we have to convert 100 yards to feet so it should be 300 feet.
Now 6 inches into feet should be 0.5 feet
Now the total be like
= [tex]18 \times 300 \times 0.5[/tex]
= 2700
Now the minimum number should be
= [tex]2700 / 250[/tex]
= 10.8
= 11
Learn more about number here: https://brainly.com/question/24585170
Find and interpret the standard deviation of the set of data. 7. {6, 8, 2, 3, 2, 9}
Answer:
3.1
Step-by-step explanation:
Do you see a trend on this scatter plot ?
An arc has a central angle of 2/5 pi and a length of 6 pi. What is the circumference of the circle?
Answer:
15 pi.
Step-by-step explanation:
2/5=6/x
x=15
This is how I would answer it, but there is an error with the question. The measure of the central angle of an arc is supposed to be equal to the length of the arc.
Used to coordinate gird plane to find a distance between the points round to the nearest hundred
Answer:
8.94
Step-by-step explanation:
Distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(3 - (-5))^2 + (2-6)^2}[/tex]
[tex]d = \sqrt{(64 + 16)}[/tex]
[tex]d= \sqrt{80}[/tex]
[tex]d= 8.94[/tex]
One of the legs of a right triangle measures 5 cm and its hypotenuse measures 9 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Can someone help please and thanks
answer is 7.5
[tex] {9}^{2} = {5}^{2} + {x}^{2} \\ 81 = 25 + {x}^{2} \\ - 25 \: \:- 25 \\ 56 = {x}^{2} \\ \sqrt{56} = \sqrt{x} \\ 7 .4833... \\ 7.5[/tex]
What are the solutions for 4x^2+81=36x
What is
7.5% tax on
a $18
sweater?
19.35 or 1.35
Answer:
$1.35 will be your answer
Step-by-step explanation:
18 x 0.075 = 1.35
Answer:
[tex]1.35[/tex]
Step-by-step explanation:
7.5% of 18$ is 1.35.
It would make no sense if the tax cost more than the actual item.
A group of scientists wants to investigate if they can predict the life expectancy of mammal species given
its average heart rate. The table below shows the relationship between average heart rate (in beats per
minute) and life expectancy (in years) for a sample of mammals.
Whale
Elephant
Horse
Lion
Sheep
Pig
Average heart rate (BPM)
20
30
34
50
75
95
Life expectancy (years)
70
70
40
13
15
25
All of the scatter plots below display the data correctly, but which one of them displays the data best?
By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the
x- axis
Answer:
GRAPH B
Step-by-step explanation:
I GOT IT CORRECT ON KAHN!!!!
Find the 15th term of the arithmetic sequence x + 3, – X – 1, -3x – 5,...
Answer:
-53-27x
Step-by-step explanation:
Answer attached...
Hope it helps :)
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
The number of sandwiches sold by four stores during one week is shown in the graphs. Which store has the MOST skewed data?
Will Give Brainliest
Let x2+8x=7 .
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x2+8x+ ? = ?
Answer:
4/6
Step-by-step explanation:
im smart trust
pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you
Answer:
2) -47, 33, -243, 907, -88
4) C & D
5) 30, 45, 0, -10
6) B
Answer:
1.)-47
33
-243
907
-88
2.)c, d
3.)Lighthouse=45
Find mMK................
Answer:
Approximately mMK is 53 degrees
Step-by-step explanation:
Here, we want to find the length of MK
As we can see, we have a right triangle at LNK
so
let us find the angle at L first
9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L
so the trigonometric identity that connects adjacent to the hypotenuse is the cosine
It is the ratio of the adjacent to the hypotenuse
So;
cos L = 9/15
L = arc cos (9/15)
L = 53.13 degree
Approximately, L = 53 degrees
so now, we want to get the arc length MK
We are to use the angle-arc relationship here
Using this; arc length MK is equal to the measure of L at the center which is 53 degrees
I NEED HELP PLEASE- ‼️‼️‼️
Answer:
18x^2 - 30x
Step-by-step explanation:
Distribution:
You just have to distribute 6x by each term in the parenthesis.
Equation: 6x(3x-5)
(You can also think of it as: 6x * 3x + 6x * -5)
18x^2 - 30x
This is as simplified as can it can be.
(You can’t add terms that have different variables, seeing as the first term has x^2 and the second one only has x).
PLEASE HELP!!!
sin 0 = 9/41. Find tan 0.
Answer:
B. 9/40
Step-by-step explanation:
just got the answer
The value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a trigonometric ratio:
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
sinθ = 9/41
sin is the ratio of the side opposite to the hypotenuse.
From the Pythagoras theorem:
Adjacent side² = hypotenuse² - opposite²
Adjacent side² = 41² - 9²
Adjacent side = 40
tan is the ratio of the side opposite to the adjacent
tanθ = 9/40
Thus, the value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.
Learn more about trigonometry here:
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Which choice is equivalent to the product below?
√2 x √8 x √4
A. 8 √2
B. 4 √2
C. 4
D. 8
Answer:
8
Step-by-step explanation:
will 5 star worth 76pts
Answer:
i can't see anything
Step-by-step explanation:
Help ASAP I’ll mark you as brainlister
Answer:
22π
Step-by-step explanation:
C = 2πR
C = 2π(11)
C = 22π cm
Josh used one hundred dollars less than three-fourths of his paycheck to buy a new N. it the cost of
the new TV was $488, how much was his paycheck?
Please don’t put the answer in a link.
Answer:$175
Step-by-step explanation:
The amount of his paycheck would be $ 784.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
WE have been given that Josh used one hundred dollars less than three-fourths of his paycheck to buy a new N the cost of the new TV was $488.
Let P = pay amount
3/4 P -100 = 488
Now add 100 to both sides of the equation
3/4 P = 588
Then multiply both sides of the equation by 4/3;
P = $ 784
The amount of his paycheck would be $ 784.
Learn more about solving equations here:
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-3×4y = (4+5y)-72 answer fast with steps plz
Answer:
-12y=5y-68 true for all X
Step-by-step explanation:
-3x4y=(4+5y)-72
simplify:
-3x4y=12y
simplify:
(4+5y)-72
remove parentheses:
4+5y-72
subtract the numbers:
4-72= -68
=5y-68
-12y=5y-68
Answer:
the answer would be 4
Step-by-step explanation:
−3(4y)=4+5y−72
−12y=4+5y+−72
−12y=(5y)+(4+−72)(Combine Like Terms)
−12y=5y+−68
−12y=5y−68
Step 2: Subtract 5y from both sides.
−12y−5y = 5y−68−5y
−17y= −68
Step 3: Divide both sides by -17.
−17y -68
------------ = -----------
-17 -17
y = 4
Help please homework
Answer:
Y=7
Step-by-step explanation:
(X,Y) or (-2,?)
X=-2
4×(-2)-4y=20
-8-4y=20
-4y=20+8 /÷(-4)
Y=7
help please i’ll really appreciate it
Answer: I believe its 64 cubic in
Step-by-step explanation:
Can I get help?
I don’t know how old he is?
Answer:
B
Step-by-step explanation:
If you separate it it's the number 13 so it has to be correct. :) it always works for me....well only like 70% of the time but it' better than nothing.