Answers
Answer:
a) 10.5cm
b) 1520cm³ (3 s.f.)
c) 1270cm² (3 s.f.)
Step-by-step explanation:
Please see the attached picture for full solution.
Related Questions
determine the domain of each of the real functions
f (x) =
[tex] \sqrt{x2 - 16} [/tex]
f(x) =
[tex] \sqrt{4 - x2} [/tex]
f(x) =
[tex] \frac{5}{ \sqrt{9 - x2} } [/tex]
Answers
Number two... x=2
Number three... no x-intercept/zero
4. Compare/contrast the data sets below. Which data set has a range of 9, a mean of
15, a median of 14, and a mode of 11? How do you know (show work)? Why do the
other choices fail to meet the criteria? State one reason why each of the other
choices fail.
A. 11, 11, 13, 15, 20
B. 5, 11, 14, 14, 31
C. 11, 11, 14, 19, 20
D. 6, 10, 14, 15, 15
Answers
Let's first find the mode of each data set.
Mode = the largest value - the smallest value.
A. 20 - 11 = 9
B. 31 - 5 = 26
C. 20 - 11 = 9
D. 15 - 6 = 9
B fails because its mode does not equal 9.
Let's find the mean of A, C, and D
The mean = the sum of all data values divided by the number of data values.
A. (11 + 11 + 13 + 15 + 20) / 5 = 14.2
C. (11 + 11 + 14 + 19 + 20) / 5 = 15
D. (6 + 10 + 14 + 15 + 15) / 5 = 12
Options A and D fail because their mean does not equal 15.
Let's find the median and mode of option C
Median = the value which falls into the middle of our data set
11, 11, 14, 19, 20 = 14
Mode = the value which appears most often
In option C, 11 appears twice and every other number appears once, therefore, 11 is the mode.
4= -2(x-2) +4 please help I’ll give you points!
Answers
4 = -2(x-2) + 4
or, 4 = -2x + 4 + 4
or, 4 = -2x + 8
or, 4 - 8 = -2x
or, -4 = -2x
or, -4/-2 = x
or, 2 = x
Answer:The value of x is 2.
Answer:
x = 1
Step-by-step explanation:
4 = -2( x - 2) + 4
4 = -2x - (-2) +4
4 = -2x + 2 + 4
4 = -2x + 6
4 - 6 = -2
6 - 6 = 0
-2 = -2x
x = 1
hopefully this helps you get it right and if it does pls mark as brainlest ( it really helps if you do). :)
NO is an angle bisector. Solve for x.
A. x = -10
B. Not enough information
C. x = 10
D. x = 4
Answers
x= -10
Explanation:
When solving for x with 2 equations given, you’d add 3x+10 with 7x-30 like so: 3x+10=7x-30. you ALWAYS work your way from right to left till you’ve got nothing on your right but a number with no variable, so subtract 7x with 3x, giving you 4x, so now your equation would be: 4x+10=-30. Now that there is a single number to the right, you start to rotate, so subtract 10 from -30, giving you -40, so now your equation would be: 4x=-40. This is the last step, so all you have to do is divide 4x to itself and to -40. You DO NOT add the variable x to your answer, so it should be: x=-10 as your final answer.
What is the sum for the expression below? 234+114+312
Answers
Answer:
660
Step-by-step explanation:
4. Error Analysis Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her error.
Answers
Answer:
She did not consider the multiplicative inverse property of a real number
Step-by-step explanation:
Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.
Let x be an irrational number.
So, [tex]$ x.\frac{1}{x}= 1$[/tex]
If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.
If you studied “the world in spatial terms” as a geographer, what would you most likely focus on?
A.what natural environment are in an area
B.which culture and traditions are common
C.what to plan for the future
D.where things are located in relation to one another
Answers
Answer:
A.) What natural environments are in an area
Step-by-step explanation:
The box-and-whisker plot below
shows the test scores for the last
quiz. What is the interquartile range?
IS
40
50
60
70
80
90
100
Answers
Answer:
Interquartile range = 40
Step-by-step explanation:
interquartile range = Q3-Q1
It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles
Q1 = 50 (middle of the lower quartile)
Q3= 90 (middle of the higher quartile)
I don’t understand this please help
Answers
Answer:
3rd option
Step-by-step explanation:
-8 ≥ -5x + 2 > -38 subtract 2 from all three expressions
-10 ≥ -5x > -40 divide by 5
-2 ≥ -x > -8 now multiply by -1
2 ≤ x < 8
Your cell phone plan costs $29.99 per month plus $0.17 for each text message you send or receive. You have at most $34 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month? (with step by step solution).
Answers
Answer:34.00-29.99=4.01. 4.01÷0.17=
Step-by-step explanation:
Which of the quadratic functions listed is written in standard form?
O A. Y= 2x² + 3x - 5
O B. Y-4 = - 3(x - 5)
OC. Y - 7 = -2(x + 3)?
O D. Y= (x+1)(x – 5)
Answers
Answer: A
Step-by-step explanation:
f(x)=ax²+bx+c is the standard form for quadratic functions. Looking at the answer choices, we can eliminate B, C, D. They are not the same as the given standard form. B and C are point-slope formulas, which are not standard form. D is in intercept form, therefore it is not standard form. This leaves us with A as the correct answer.
how do I simplify the expression
-(10)-2
Answers
Answer:
First distribute the negative -(10)
it becomes a -10
them add the -10 and -2
and the answer in - 12 because a negative plus a negative equals a negative
Please help, question is in photo below, about finding angles.AWARDING MORE POINTS
Answers
Step-by-step explanation:
[tex](2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13[/tex]
Answer:
x=7
m<ABD=37°
m<DBC=58°
Step-by-step explanation:
Add the two equations. They need to equal 95. Solve for x.
(2x+23)+(9x-5)=95
11x+18=95
11x=95-18
11x=77
x=7
Substitute 7 in for x to both equations to solve for the angle degrees.
m<ABD=2x+23 = 2(7)+23 = 14+23 = 37
m<DBC=9x-5 = 9(7)-5 = 63-5 = 58
CHECK: 37+58=95
Gaston claims to eat 6 dozen eggs every morning. If the hens in his town lay 2 eggs per day, what is equation that represents the relationship between the total number of eggs Gaston eats each morning and the number of hens (h) needed to support his diet?
Answers
Answer:
72=2h
Step-by-step explanation:
6x12=72
What is the greatest common
factor of the following three
numbers?
12, 18,32
Answers
hope this helps
Answer:
2
Step-by-step explanation:
12:1,2,3,4,6,12
18:1,2,3,6,9,18
32:1,2,4,8,16,32
h.c.f = 2
Find the product of (x + 5)(x − 5).
Answers
Answer:
x² - 30 + 5x
Step-by-step explanation:
(x + 5)(x − 5)
=x(x − 5)+5(x − 5)
=x² - 5 + 5x - 25
=x² - 30 + 5x
ahh sorry! i need help again! question 25! if you can, please include steps! thanks!
Answers
Answer:
2
Step-by-step explanation:
2x^2 -3xy^3
Let x=-2 and y =-1
2 ( -2)^2 -3 (-2) (-1)^3
Using PEMDAS, we do exponents first
2 ( 4) - 3(-2) (-1)
Multiply nexy
8 - 6
2
In this question, we are required to find
[tex]2 {x}^{2} - 3x {y}^{3} [/tex]
When, x = -2 and y = -1
We just need to plug the values of x and y in the given polynomial to get our required answer.
Given, Polynomial in variable x and y,
[tex]2 {x}^{2} - 3x {y}^{3} [/tex]
Plugging values of x and y,
[tex]2 {( - 2)}^{2} - 3( - 2)( - 1) {}^{3} [/tex]
According to PEMDAS, we need to do the exponents first, So let's simplify the exponents,
[tex]2(4) - 3( - 2)( - 1)[/tex]
Opening the parantheses and finding the answer,
[tex]2 \times 4 - 3 \times - 2 \times - 1[/tex]
[tex]8 -6[/tex]
[tex] \boxed{ \red{2}}[/tex]
This is our required answer !!
#CarryOnLearning
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Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
Answers
Answer:
(0, - 6)
Step-by-step explanation:
The y- intercept is where the function crosses the y- axis.
This occurs when x = 0 , thus
From the table when x = 0, f(x) = - 6
The y- intercept is therefore (0, - 6 )
Answer:
(0, - 6)
Step-by-step explanation:
how to solve the following quadratic equations; 2L, m, o, 3a and g
Answers
Answer:
Please see the attached pictures for full solution.
AC
B is between the points A and C on
Write an equation using the information in
terms of x. Find x, AB, and BC.
AB = 8x + 5
BC = 5x - 9
AC = 74
Answers
AB is 53
BC is 21
The equation is given as: 13x - 4 - 74 = 0
The value of x is 6
AB = 53
BC = 21
Given,
B is between points A and C on AC.
AB = 8x + 5
BC = 5x - 9
AC = 74
We need to write an equation using the information in terms of x
We also need to find x, AB, and BC.
If there is a point between two points of a line, the sum of the two lines separated by the point is equal to the line given.
Example:
M______N____________O
Then,
MN + NC = MO
Find the equation that represents AC with point B between A and C.
We have,
A______B___________C
AB = 8x + 5
BC = 5x - 9
AC = 74
Now,
AC = AB + BC
74 = 8x + 5 + 5x - 9
74 = 13x - 4
13x - 4 - 74 = 0
Find x.
74 + 4 = 13x
78 = 13x
x = 78 / 13
x = 6
Find AB
AB = 8x + 5
= 8x6 + 5
= 48 + 5
= 53
Find BC
BC = 5x - 9
= 5x6 - 9
= 30 - 9
= 21
Thus,
The equation is given as: 13x - 4 - 74 = 0
The value of x is 6
AB = 53
BC = 21
Learn more about finding the length of the segments made by a point between two points here:
https://brainly.com/question/24710432
#SPJ2
What is the length of side AB of the triangle
Answers
the length of sides AB of the triangle is sum of all sides..
Using this system of linear equations: show all of the steps to solve using substitution.
Answers
Answer:
(1,5)
Step-by-step explanation:
y=3x+2
x+2y = 11
Substitute the whole value of y to the second equation:
x+ 2 (3x +2)=11
Distribute 2
x+6x+4=11
Combine like terms:
7x=7
x=1
Plug in the x value to any equation:
y=3(1)+2
y=3+2
y=5
Calculate the sum and enter it, as a fraction in lowest terms, using the
slash (/) for the fraction bar. 4/15 + 7/9
Answers
Answer:
47/45 or 1 and 2/45
Step-by-step explanation:
47/45 or 1 2/45
4/15 +7/9
× 3/3. × 5/5
12/45 + 35/45
47/45
If SLDG is an isosceles trapezoid, what is the value of x?
SD-x5
LG - 5x+21
O A. 26
O B. 23
O C. 13
O D. 18
O E. 24,5
O E Cannot be determined
Answers
Answer:
13
Step-by-step explanation:
Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
What is an Isosceles Trapezoid?An isosceles trapezoid has two congruent legs and two diagonals that are congruent.
Given:
SD = 8x - 5LG = 6x + 21Thus:
SD = LG
Substitute
8x - 5 = 6x + 21
Combine like terms and find x
8x - 6x = 5 + 21
2x = 26
x = 26/2
x = 13
Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
Learn more about isosceles trapezoid on:
https://brainly.com/question/10187910
Simplify the expression:
(2f - 6)(-3)
Answers
Answer:
Simplify the expression.
−
6f+18
Step-by-step explanation:
17. A man can row at 8 km/hr in still water. If the
river is running at 2 km/hr, it takes him 48
minutes to row to a place and coming back. How
far is the place ?
(a) 1 km
(b) 2 km en
(c) 3 km
(d) 4 km
Answers
Answer:
(c) 3 km
Step-by-step explanation:
Speed in still water: 8 km/h
Speed of river: 2 km/h
Speed downstream: 8 km/h + 2 km/y = 10 km/h
Speed upstream: 8 km/h - 2 km/h = 6 km/h
total time both ways: 48 minutes = 48/60 hour = 0.8 hour
time to go upstream: t
time to go downstream: 0.8 - t
speed = distance/time
s = d/t
d = st
Upstream:
d = st
d = 6t
Downstream:
d = st
d = 10(0.8 - t)
The distance upstream and downstream is the same.
6t = 10(0.8 - t)
6t = 8 - 10t
16t = 8
t = 0.5
d = 6t = 6(0.5)
d = 3
Answer: (c) 3 km
At the aquarium there are 840 sharks and 630 lion fish, for a total of 1470 fish all together. What is the ratio of fish to sharks?
(Reduce your ratio to lowest terms, for example reduce 15:6 to 5:2
Answers
Answer:
7:4
Step-by-step explanation:
The number of sharks at the aquarium is 840
The number of lion fish is 630
The total number of fish is 1470
Therefore the ratio of fish to sharks can be calculated as follows
= 1470/840
= 7:4
Hence the ratio of fish to sharks is 7:4
In the triangle below, 21 = 35 and 23 = 100°.
1
3
What is the measure of angle 2?
Answers
Answer: Angle 2: 45°
Step-by-step explanation:
All triangles add up to 180, so all you would so is take both of those angles and subtract them from 180, so basically 180 - 135
2x+8 + 3x+6 = 7x i need help fast
Answers
Answer:
x=7 Hope this helps :)
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+8+3x+6=7x
Step 1: Simplify both sides of the equation.
2x+8+3x+6=7x
(2x+3x)+(8+6)=7x(Combine Like Terms)
5x+14=7x
5x+14=7x
Step 2: Subtract 7x from both sides.
5x+14−7x=7x−7x
−2x+14=0
Step 3: Subtract 14 from both sides.
−2x+14−14=0−14
−2x=−14
Step 4: Divide both sides by -2.
−2x
−2
=
−14
−2
x=7
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x + 8 + 3x + 6 = 7x}[/tex]
Add the like terms : 2x and 6
[tex] \dashrightarrow{ \sf{5x + 8 + 6 = 7x}}[/tex]
Add the numbers : 8 and 6
[tex] \dashrightarrow{ \sf{5x + 14 = 7x}}[/tex]
Move 7x to left hand side and change it's sign
Similarly, move 14 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{5x - 7x = -14}}[/tex]
Subtract 7x from 5x
[tex] \dashrightarrow{ \sf{ - 2x = - 14}}[/tex]
Divide both sides by -2
[tex] \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{-14}{ - 2}}} [/tex]
Calculate
[tex] \dashrightarrow{ \boxed{ \sf{x = 7}}}[/tex]
Hope I helped!
Best regards! :D
Which point represents the vertex of the marked angle?
Α. Α
B. E
C.C
D.B
Answers
Answer:
B. E
Step-by-step explanation:
The vertex is the middle of the angle.
I hope this helped!