Answers
=========================================================
Explanation:
Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.
The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.
The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.
The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.
Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.
Related Questions
Which of the following systems of equations has many solutions?
1.
2x + 3y = 6
y= 2x + 2
2.
8x - 4y= 12
y=2x-3
.
3
y= 4x + 3
y= 4x - 3
4.
2x + y = 4
-2x - y = 4
Answers
Answer:
This is very.....
Step-by-step explanation:
hard
please help!!!!!!!!!!!!
Answers
Answer:
I think the answer is 16 mm.
Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2
Group of answer choices:
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at negative 2 and the x axis at 1. The lines intersect at 1 comma 0.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines are parallel and do not intersect.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
- A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.
Answers
Answer:
A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
Answer:
yes
Step-by-step explanation:
Which values of x would make a polynomial equal to zero if the factors of the
polynomial were (x+4) and (x+8)?
A. 4 and -8
B. 4 and 8
O c. -4 and -8
O D. -4 and 8
Answers
Answer:
C
Step-by-step explanation:
Given the factors of a polynomial.
To find the zeros ( the values that make the polynomial equal to zero ), then
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 8 = 0 ⇒ x = - 8
John gets 3 Dollars and 12 cents everyday by mowing lawns, but he's been noticing that every time he mows his lawns he get 0.2 more money than he did before that lawn mowing session if John mowes two lawns every day and John starts at 3 Dollars and 12 cents, in 1 week how much money will John have made?
Answers
Hope this helps :D
If you don’t mind could you mark me brainliest I’m one point away from leveling up please.
For the question "Which binomial is a factor of 9x² – 64?
3x – 8
9x – 32
3x + 32
9x + 8
I got two different answers from the choices: (x + 8)(9x - 8).
What went wrong?
Answers
Answer:
3x-8
Step-by-step explanation:
9x²-64 is the same as
(3x)² - 8²
now we have the difference of 2 squares, a²-b² =(a -b)(a +b), where a=3x, b=8
9x²-64 = (3x-8)(3x+8)
rút gọn biểu thức của căn bậc hai số học của 125 - 10 căn bậc hai số học của 1/20 - căn bậc hai số học của 5 - 5/ căn bậc hai số học của 5
Answers
Answer:
2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{125}[/tex]-10[tex]\sqrt{ \frac{1}{20} }[/tex]-[tex]\sqrt{5}[/tex]-[tex]\frac{5}{\sqrt{5} }[/tex]
=5[tex]\sqrt{5}[/tex]-10[tex]\frac{\sqrt{5}}{10}[/tex]-[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]
=2[tex]\sqrt{5}[/tex]
A research center project involved a survey of 846 internet users. It provided a variety of statistics on internet users. (a) The sample survey showed that 94% of respondents said the internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the internet has been a good thing for them personally. (Round your answers to four decimal places.) 0.9239 Incorrect: Your answer is incorrect. to 0.9561 Incorrect: Your answer is incorrect. (b) The sample survey showed that 67% of internet users said the internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.) 0.6385 Incorrect: Your answer is incorrect. to 0.7015 Incorrect: Your answer is incorrect.
Answers
Answer:
(a) (0.9240, 0.956)
(b) (0.6383, 0.7017)
Step-by-step explanation:
The number of internet users involved in the survey, n = 846
The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%
(a) The confidence interval of a percentage is given as follows;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
The z-value for 95% confidence interval = 1.96
We get;
[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]
CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240, 0.956)
(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67
The 95% confidence interval is therefore;
[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]
From which we have;
CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)
what is the answer to -24 = 36x
Answers
devide both sides by 36
-24/36 = x
reduce
-2/3
Which of the relationships you listed above will be the most helpful in figuring out the measurements of the safety fences? (2 points)
Answers
D The prize money for a competition is
shared between the winner and the runner-up
in the ratio 3: 1.
The winner received £250 more than the
runner-up.
What was the total prize money?
Answers
Answer: 333.3
Step-by-step explanation:
Answer:
Total amount = £500
Step-by-step explanation:
Let the amount for the runner up be = x
Let the amount for winner be = x + 250
Let the total amount be x + x + 250 = 2x + 250
Ratio of the amount is 3 : 1
Sum of the ratio = 3 + 1 = 4
Amount for the winner is
[tex]\frac{3}{4} \ of \ (2x + 250) = (x + 250)\\\\\frac{3}{4}\times(2x + 250) = x + 250\\\\\frac{6x}{4} + \frac{750}{4} = x + 250\\\\\frac{6x}{4} - x = 250 - \frac{750}{4}\\\\\frac{6x - 4x}{4} = \frac{1000 - 750}{4}\\\\\frac{2x}{4} = \frac{250}{4} \\\\2x = 250\\\\x = 125[/tex]
Therefore, Amount won by runner - up = x = £125
Amount won by winner = x + 250 = 125 + 250 = £375
Therefore, total amount = 375 + 125 = £500
A triangle has sides with lengths of 11 miles, 16 miles, and 18 miles. Is it a right triangle?
Answers
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 18, and 18² = 324
11² + 16² = 121 + 256 = 377 ≠ 324
Then triangle is not right.
5 number summary? Please help this is confusing and please do step by step
Answers
the q1 is the median of the lower half —3
the median is the middle number—5
the q3 is the median of the upper half—8
the max is the highest value in the data set—10
What is the slope intercept form for 8-9 whoever answers both and correct will get brainliest
Answers
Answer:
slope 8= -1/5
slope 9= -1
Step-by-step explanation:
[tex]2x - 4 = 1[/tex]
Answers
2x - 4 = 1
2x = 1 + 4
2x = 5
x = 5/2
2) Angel does 124 sit-ups a day for 6 days, while Paul does 152 sit-ups a day for 4 days. Who has more sit-ups?
Answers
Total no. sit-ups by Angel = 124×6 = 744
Total no. sit-ups by Paul = 152×4= 608
Answer: Angel
in the function f(x) = (x+2)2 -3 the minimum value occurs when x is
Answers
Answer:
x=2
Step-by-step explanation:
the minimum value of y is when x = 2.
Answer:
The minimum is at x = -2
Step-by-step explanation:
f(x) = (x+2)^2 -3
This is in vertex form
f(x) = ( x-h)^2 +k where (h,k) is the vertex
Since this is an upwards opening parabola the vertex is the minimum
f(x) = (x- -2)^2 -3
The vertex is (-2,-3)
The minimum is at x = -2
Helllppppppppppppppp
Answers
Answer:
4/5
Step-by-step explanation:
I THINK
Answer:
4/10 or 2/5
Step-by-step explanation:
divide 1/2 by 5
Then multiply by 4
PLEASE HELP
Write the equation of the parabola in vertex form.
Answers
Answer:
the free
Step-by-step explanation:
Dan earns £8.50 per hour. how much will he learn for 8 hours work?
Answers
Answer:
68
Step-by-step explanation:
Ill mark you brainlist plz help if you put something random I will report you!
Answers
Answer:
Rate of change=1
Step-by-step explanation:
y2-y1/x2-x1
(2,0), (0,-2)
y2=-2
y1=0
x2=0
x1=2
-2-0/0-2
-2/-2
1
Rate of Change=1
If this helps please mark as brainliest
Answer:
1
Step-by-step explanation:
Choose two points from the graph.
(0,-2) & [tex]= \frac{0 - [-2]}{2-0}\\\\= \frac{0+2}{2}\\\\= \frac{2}{2}\\\\= 1[/tex](2, 0)
Rate of change = Change in y / change in x
A student club has 60 members. They want to elect two officers who will serve as the president and the vice president of the club. The club bylaws dictate that the selections be done without replacement and that the first person selected would serve as the president and the second person selected would serve as the vice president. Calculate how many different ways the selections can be made if: a) There is no restriction on who is elected and whoever is elected will accept to serve. (2 Points) b) Two members, say A and B, will accept to serve only if they are elected to serve together. (3 Points)
Answers
Answer:
3540
2
Step-by-step explanation:
Total number of members = 60
Number of members to be elected = 2
Since the order of selection matters as the first is president and second is vice president ;
Using the permutation formula :
nPr = n! ÷ (n-r)!
60P2 = 60! ÷ (60 - 2)!
60P2 = 60! ÷ 58!
60P2 = 3540
B.) 2 members A and B will accept to serve only if they are selected to serve together ;
Since only 2 members (president and vice president) are to be chosen ; Hence, only the tow of them (A and B) will be chosen, to do this ;
2P2 = 2! /(2 - 2)! = 2! / 0! = (2*1)/1 = 2
Determine the slope from the given graph below:
Answers
Answer:
A
Step-by-step explanation:
Answer:
B it's 8
Step-by-step explanation:
Brainliest plss
True or false if a set of points all lie on the same plane they are called coplanar
Answers
Answer:
True
Step-by-step explanation:
Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar. The left side of the above figure shows coplanar points A, B, C, and D.
Hope this helps
Represent 3,4 in number line
Answers
Answer:
Please give the context of questions, as it really helps people answer your questions. thanks! n.n
helppp plzzzzzzzzzzzzz
Answers
Answer:
b, the answer is b
Step-by-step explanation:
i can explain later
Answer:
ans: x> -9
Step-by-step explanation:
if you multiply
-2x < 18 by -1 than inequality sign changes as
2x > -18
divide both side by 2 to free 2x to x i.e
2x/2 > (-18/2)
so
x> -9
the function g(x) is the function that results when you shift function f(x) up 6 units. f(x)=3x^4. give g(x)
Answers
Answer:
g(x) = [tex]3x^{4} + 6[/tex]
Step-by-step explanation:
To move a function up or down along the y-axis all you would have to do is add or subtract the numbers of units that you want the graph to move up or down. Adding a value to the entire function moves it up, while subtracting moves it down. Therefore, in order to move f(x) up 6 units we simply add 6 to the function. Therefore, g(x) will be the following
g(x) = [tex]3x^{4} + 6[/tex]
Both f(x) and g(x) can be seen in the attached picture below
A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50 angle of elevation. His eyes are 5 feet above the ground. Using cos 50 0.64, what is the height of the tree to the nearest foot? 350 5 ft 20 Ft 24 feet 29 feet 36 feet 31 feet Done
Answers
Answer:
29 ft
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = h - 5/20
θ = 50°
Hence
tan 50 = h - 5/20 feet
Cross Multiply
tan 50 × 20 feet = h - 5
23.8350718518842 + 5= h
h = 28.8350718518842
h = 29 ft
Answer:
29
Step-by-step explanation:
During a recent two-day snowstorm, it snowed 6- inches on the first day
8
5
and 8 inches on the second day. Find the total snowfall.
12
,
Answers
Answer:
4.8 inches
Step-by-step explanation:
6 * 1 / 8 = 0.75
8 * 5 / 12 = 3.33
0.75 + 3.33 = 4.8 inches
Answer:
4.8 inches
Step-by-step Explanation:
Which expression is equivalent to -x² + 5x + 94 = 13?
A.(x + 7)(x + 12) = 13
C.(x – 12)(x – 7) = 13
b. (x - 12)(x + 7) = 3
d. -(x - 7)(x + 12) = 3