the area of a trapezium is given by the formula A=1/2h(a+b), where h is the height and a and b are the measures of the two bases. what is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches?
Answer:
[tex] h = 4.8 \: inches.[/tex]
Step-by-step explanation:
[tex]A= \frac{1}{2} h(a+b) \\ h(a + b) = 2A \\ h = \frac{2A}{(a+b)} = \frac{2 \times24 }{4 + 6} \\ h = \frac{48}{10} \\ h = 4.8 \: inches.[/tex]
Answer:
h=4.8
Given:
area=24 , a=4 , b=6
To find:
height
Step-by-step explanation:
A = [tex]\frac{1}{2}[/tex] × h(a+b)
24 = [tex]\frac{1}{2}[/tex] × h(4+6)
24 × 2 = h(10)
48 = 10h
48/10 = h
h=24/5
h=4.8
therefore, height of the trapezium is 4.8
hope it helps you!
I need help asp . I'm running out of time
Answer:
A = 104 ft²
Step-by-step explanation:
We're given that the width of the rectangle is 8 so that's the value of w. All we have to do is just plug in 8 into the equation:
A=w²+5w
A=(8)²+5(8)
A=64+40
A = 104 ft²
angles on the same side of a transversal and in between the lines it intersects are _____?
Which expression is equivalent to 6a + 15?
6(a + 5)
3(2a + 5)
3(3a + 12)
6(a + 12)
The parking garage for a building is underground. Kennedy parks her car 4 floors below ground level. She plans to walk to the 3rd floor of the office building from her car. If she uses the stairs to walk from her car to the 3rd floor of the building, how many floors will she travel?
Answer:
5 flights of stairs
Step-by-step explanation:
The car is 4 floors below ground so she walks 4 to get to ground level. Then she walks 3 more to get to where she is going.
4 + 3 = 7 total floors
In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94º. Based on the information that is provided, which could be a correct set of sides for this set of angles?
O side QR = 7 cm. side RS = 10 cm , side QS = 12.6 cm
O side QR = 10 cm, side RS = 7 cm, side QS = 12.6 cm side
O QR = 12.6 cm, side RS = 10 cm, side QS = 7 cm
O side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
You know, it's easier to draw it out to figure out the answer!
It's side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm. So, it's D. (last option)
Answer:
D
Step-by-step explanation:
I got it right on the test. 100%
What percentage of 80 is 67
Answer:
83.75%
Step-by-step explanation:
67/80 = 83.75%
please I need answer asap!!
Where is the point (5,-1) located in the coordinate plane? O A. In quadrant IV B. In quadrant II C. On the y-axis OD. In quadrant Ill
Answer:
A. In quadrant IV
Step-by-step explanation:
I checked it and it’s right on A P E X hope this helps:)
ryan deposited 4,000$ into his savings account at the interest rate of 4%for 5 years ate the end of the 5 years how much money would be in ryan's account worksheet
Answer:
$4,800
Step-by-step explanation:
you take $4000 and multiply by .04 to get interest for one year. Then multiply by 5 for the years and that is $800. and $800 + $4000 - $4800.
A coordinate grid with 2 lines. The first line is labeled f(x) and passes through (negative 4, 3), (0, 3) and (4, 3). The second line is labeled g(x) and passes through the points (negative 2, negative 5), (0, negative 2), and (2, 1)
Determine the input value for which the statement
f(x) = g(x) is true.
From the graph, the input value is approximately (2) (2.5) (3.5) or (4)
.
f(x) = 3 and g(x) = 3/2x – 2
3 = 3/2x – 2
5 = 3/2x
The x-value at which the two functions’ values are equal is (2/3) (3/2) (5/3) or (10/3)
.
Answer:
3.5 and 10/3
Step-by-step explanation:
just took the quiz
Answer: C.) 3.5 and D.) 10/3
Step-by-step explanation: i hope this helps :)
Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.
Answer :
m = 3
Point = (4,-1)
x1 = 4
y1 = -1
Formula =
y - y1 = m (x-x1)
y - (-1) = 3 (x -4)
y + 1 = 3x -12
y - 3x + 1 + 12 = 0
y - 3x + 13 = 0
The line = y - 3x + 13 = 0 or -3x + y + 13 = 0
I'm sorry if I'm wrong.
Cmiiw
Good luck
Love from Indonesia
y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=3
We need to find slope intercept form, for this we should know the y intercept with slope m =3 and point (4,-1)
-1=3(4)+b
-1=12+b
-1-12=b
b=-13
y intercept is -13
Hence, y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Simplify
8a-8b
a2-b2
Answer:
-8a2b + 8a - b2
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(8a - 23a2b) - b2
STEP 2 :
STEP 3 :
Pulling out like terms
3.1 Pull out like factors :
-8a2b + 8a - b2 = -1 • (8a2b - 8a + b2)
Trying to factor a multi variable polynomial :
3.2 Factoring 8a2b - 8a + b2
Try to factor this multi-variable trinomial using trial and error
Answer:
-8a^2b - b^2 + 8a
Have a nice day and stay safe. Pls rate me and like.
: )
what is the answer to :
4 x 10³÷ 2 x 10∧12
Answer:
2x10^15x^2
Step-by-step explanation:
whats the slope between these points (3,2) and (6,5)
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
Answer:
1
Step-by-step explanation:
issac is a clothing salesman working on straight commission. He sold $1311
this week and gets 9% commission. How much did he earn?
Answer:
Isaac earned $117.99 this week
Step-by-step explanation:
Percentages
The N% of a quantity M is calculated as follows:
N * M / 100
Isaac earns a 9% commission for his sales.
This week he sold $1,311, thus his commission is:
9 * 1,311 / 100 = 117.99
Isaac earned $117.99 this week
Pool #1 is a rectangle that is 14 feet wide. The length is (14– 8)2ft.
The dimensions of the pool are: Length=________ ft Width=_________ft
Answer: the length is 6 feet. The width is 2 feet
Step-by-step explanation:
The garden pool is rectangular in shape.
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that
L× W = 12 - - - - - - - - - - 1
The length of the pool needs to be 2ft more than twice that width. This means that
L = 2W + 2 - - - - - - - - - - - 2
Substituting equation 2 into equation 1, it becomes
W(2W + 2) = 12
2W^2 + 2W = 12
2W^2 + 2W - 12 = 0
W^2 + W - 6 = 0
W^2 + 3W - 2W - 6 = 0
W(W + 3) - 2(W + 3) = 0
W - 2 = 0 or W + 3 = 0
W = 2 or W = - 3
Since the Width cannot be negative, then the width is 2 feet
Substituting W = 2 into equation 2. It becomes
L = 2×2 + 2 = 6 feet
I need help finding the slope, the y-intercept and the equation?
Answer:
y is (0,-2) thats all i know sorry
Step-by-step explanation:
The equation of line will be;
⇒ y = x + 2
And, The y - intercept will be 2.
What is Equation of line?
The equation of line with slope 'm' and y - intercept at point 'b' is given as;
⇒ y = mx + b
Given that;
The points on the graph are (0, 2) and (- 2, 0).
Now,
Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Thus, The slope of the line with the points (0 , 2) and (-2, 0) is;
m = (0 - 2) / (- 2 - 0)
m = - 2/- 2
m = 1
So, The equation of line passing through the points (0 , 2) and (-2, 0) with slope 1 is defined as;
y - y₁ = m (x - x₁)
y - 2 = 1 (x - 0)
y - 2 = x
y = x + 2
Now, Compare with the equation y = mx + b, we get;
The y - intercept = 2
Thus, The equation of line will be;
⇒ y = x + 2
And, The y - intercept will be 2.
Learn more about the equation of line visit:
https://brainly.com/question/13763238
#SPJ2
PLZ HELP WILL MARK BRAINLEST 2 or more have to answer and its timed 1 hour
Answer:
z=77
Step-by-step explanation:
z/7−9=2
Step 1: Simplify both sides of the equation.
z−9+9=2+9
1/7z=11
z=77
(✿◠‿◠)
7.
If 3 tickets to a certain show cost $13.20, what would 7 tickets cost?
What is this answer?
Answer:
$ 30.8Step-by-step explanation:
ratio and proportion:
3 tickets = 7 tickets
$13.20 x
then cross multiply: 3 (x) = 13.20 (7)
simplify: 3x = 92.4
solve for x = 92.4 / 3
x = $ 30.8
therefore,
7 tickets costs $ 30.8
Why is brainliest so important and why is leveling up so important
Answer:
Its is so u get points make me he brainlst thx
Step-by-step explanation:
Prayut is buying peanuts to make satay sauce to serve with
noodles. He buys a bag of peanuts for $1.20.
What is the unit price per ounce Prayut pays for the peanuts? (16 oz = 1 lb)
$0.15
$0.20
O $2.40
O $3.20
Answer:
$0.15
Step-by-step explanation:
Evaluate 0.1m + 8- 12n when m=30 and n = 1/4 answer
Answer:
8
Step-by-step explanation:
Original equation:
0.1m + 8 - 12n
Plug in the values of m and n
0.1(30) + 8 - 12(0.25)
Multiply.
0.1 x 30 = 3
3 + 8 - 12(0.25)
Multiply.
-12 x 0.25 = -3
3 + 8 - 3
Add.
3 + 8 = 11
11 - 3
Subtract.
11 - 3 = 8
Hope I helped :)
Please consider Brainliest :)
What is the domain of h^-1(x)
Answer:
(-∞,∞)
Step-by-step explanation:
The table represents the relationship between a length measured in meters and the same length measured in kilometers.
1. Complete the table.
Type the answers in the boxes below.
meters kilometers
1,000 1
3,500
500
75
1
x
2. Write an equation for converting the number of meters to kilometers. Use x for number of meters and y for number of kilometers.
Type the answer in the box below.
Answer:
Q1 1000 1
3500 3.5
500 .5
75 .075
1 .001
x 1/1000x or .001x Q2 Y= 1/1000x
Step-by-step explanation:
just search up 1000 meters to 1 kilometer and go from there :)
Sarah bought 6 rolls of paper towels. She got 214.2 meters of paper towels in all. How
many meters of paper towels were on each roll?
Answer:
35.7 meters
Step-by-step explanation:
Literally all you do is divide the overall amount by how many rolls there were. That easy.
Are the given
equations parallel,
perpendicular, or
neither?
y = 3x + 5
y = 3x - 7
Answer:
parallel
Step-by-step explanation:
They have the same slope, just different y-intercepts. The two lines never cross, making them parallel.
Find the surface area of this rectangular solid.
7cm 5cm 4cm
A. 138
B. 166
C. 168
D. 16
E. 140
E:The answer is 140 because seven times five times four equals 140.
i need help with this asap!homework is due tomorrow.
Answer:
If triangle ABC is a right angled triangle,right angled at C
AB²=AC² + BC²
Pls mark me brainliest
Step-by-step explanation:
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.
y= 1/3 x− 2/3
Answer:
y-intercept = (0,-2/3)
x-intercept = (2,0)
Step-by-step explanation:
*X-intercept touches the x-axis & y-intercept touches the y-axis*
You can identify the y-intercept by looking at the equation.
The slope is 1/3x and the y-intercept is -2/3.
I'm not sure how to solve for the x-intercept, but you can make a graph with the y-intercept and the slope points. By doing this you should be able to find the x-intercept.
Hope this helped!!! :)
PS: Check out the Desmos Graphing Calculator
This website helps a lot with these types of problems. You can type the equation, and it will show you a graph. If you look at the graph, you'll be able to determine the slope, the x-intercept, and the y-intercept.
Find the variation constant and an equation of variation for the given situation.
y varies directly as x, and y = 7 when x = 1/2.
Answer:
[tex]\displaystyle y=14\cdot x[/tex]
Step-by-step explanation:
Directly Proportion
It's said that y varies directly proportional as x, if:
[tex]y=k\cdot x[/tex]
Where k is a constant of proportionality.
We know that y=7 when x=1/2.
Using the above condition, we can find the value of k:
[tex]\displaystyle 7=k\cdot \frac{1}{2}[/tex]
Solving for k:
k=14
Thus, the equation is:
[tex]\boxed{\displaystyle y=14\cdot x}[/tex]