In trapiziod ABCD with bases AB and DC , diagonals intersect at point O. Find the length of diagonal BD, if BO=6 cm and A/O=3/1
Answers
Answer:
the length of the diagonal BD is 8 cm
Step-by-step explanation:
The computation of the length of diagonal BD is as follows
Here the trapezoid diagonals divides each other in an equivalent ratio
So, equation would be
AO ÷ OC = OB ÷ OD
Now put there values to the above equation
3 ÷ 1 = 6 ÷ OD
3OD = 6
Now divided it by 3 in both the sides
OD = 2
Now the BD would be
= BO + OD
= 6 + 2
= 8 cm
hence, the length of the diagonal BD is 8 cm
Related Questions
Question 5 (2 points)
The graph shows the distance a car traveled, y, in x hours:
What is the rise-over-run value for the relationship represented in the graph?
1) 1/35
2)2/17
3) 35
4) 40
Answers
35 / 1 = 35.
Ergo, the relationship is 35.
Answer:
The answer is 35
Step-by-step explanation: The other person who answered this got it correct and I took the test. :)
The slope of the line is
5
1
.
Which statement best describes the meaning of the slope?
Answers
Answer:
Step-by-step explanation:
as you see in the graph, the correct choice is the first one
The answer is A
For every 1 tablespoon, there are 5 grams of protein!
Write an equation for the line parallel to the given line that contains C.
C(2,8); y = - 2x + 1
y =
Answers
Okay!
Whenever a line is parallel to another, that means they ALWAYS have the same slope!
So the slope of our new line is -2 as well !
Now let's use point C (2, 8) to find the y-intercept!
This is easy! All we need to do is plug the point in our new equation!
Remember that in point C, 2 = x and 8 = y
Time to plug in all these numbers in y = mx + b
8 = -2 (2) + y intercept
→ the 8 is in the y's place
→the -2 is in the slope place
→2 is in the x place
Now we solve for the y-intercept using basic math!
8 = -2(2) + y-intercept
8 = -4 + y-intercept
8 + 4 = y-intercept
We did it! We found the y-intercept
The y-intercept is 12!
Now let's create our final equation ...
y = -2x + 12
HELPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!
Answers
So to get from 3 to 6 you multiply by two which you would also need to do to the price which is the same relationship because it is the correct answer whereas the 9 lbs you multiply by three and you would need to multiply the price by three as well and it is incorrect so it’s B
I’m not sure about the others though sorry
What is the 10th term of the sequence 729, 243, 81, 27...? Enter any rational answer
in the form a/b or round to the nearest thousandth.
Help please.
Answers
Answer:
The 10th term of the sequence is:
[tex]a_{10}=\frac{1}{27}[/tex]Step-by-step explanation:
Given the number
729, 243, 81, 27...
A geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_0\cdot r^{n-1}[/tex]
Computing the ratio of all the adjacent terms
[tex]\frac{243}{729}=\frac{1}{3},\:\quad \frac{81}{243}=\frac{1}{3},\:\quad \frac{27}{81}=\frac{1}{3}[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=\frac{1}{3}[/tex]
also
[tex]a_1=729[/tex]
Therefore, the nth term is computed by:
[tex]a_n=729\left(\frac{1}{3}\right)^{n-1}[/tex]
Putting n = 10 to find the 10th term
[tex]a_{10}=729\left(\frac{1}{3}\right)^{10-1}[/tex]
[tex]=729\cdot \frac{1}{3^9}[/tex]
[tex]=\frac{1\cdot \:729}{3^9}[/tex]
[tex]=\frac{729}{3^9}[/tex]
[tex]=\frac{3^6}{3^9}[/tex]
[tex]=\frac{1}{3^3}[/tex]
[tex]a_{10}=\frac{1}{27}[/tex]
Therefore, the 10th term of the sequence is:
[tex]a_{10}=\frac{1}{27}[/tex]
Order each set of measures from greatest to least 1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft 2) 2 lb, 891 g, 1 kg, 0.02 T 3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal 4) 4.5 ft, 48 in., 1.3 m, 120 cm
Answers
Step-by-step explanation:
1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft
The relationship between the units is given as;
m > ft > in > cm
Upon converting the rest units to the lowest;
0.6 in = 1.524 cm
0.031 m = 3.1 cm
0.1 ft = 3.048 cm
The order is given as;
0.031 m > 0.1 ft > 0.6 in > 1.2 cm
2) 2 lb, 891 g, 1 kg, 0.02 T
2 lb = 907.185 g
1 kg = 1000 g
0.02 T = 20000 g
The order is given as;
0.02 T > 1 kg > 2 lb > 891 g
3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal
0.4 L = 400 mL
0.7 gal = 2649.79 mL
11/4 c = 650.6177 mL
The order is given as;
0.7 gal > 11/4 c > 950ml > 0.4 L
4) 4.5 ft, 48 in., 1.3 m, 120 cm
The relationship between the units is given as;
m > ft > in > cm
Upon converting the rest units to the lowest;
4.5 ft = 137.16 cm
48 in = 121.92 cm
1.3 m = 130 cm
The order is given as;
4.5 ft > 1.3 m > 48 in > 120 cm
In the first quadrant, you start at (7,4)
and move 4 units left
What point will you end on?
Answers
Answer:
7
Step-by-step explanation:
From O(7,4), when you move a point 4 units left, abscissa decreases by 4,i.e it becomes 3 and when you move a point 3 units up, ordinate increases by 3,i.e it becomes 7.
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa. Which city gets more rain and how much more?
Answers
Answer:
Miami gets 6.12 inches more rainfall.
Step-by-step explanation:
Given that the average rainfall (in inches) in Miami for 5 months are 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,
So, the total rainfall in Miami in 5 months,
R_M = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches
and the average rainfall (in inches) in Tampa for 5 months are 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.
The total rainfall in Tampa in 5 months,
R_T = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.
The difference between the total rainfall in Miami and Tampa is 25.02-18.9= 6.12 inches.
The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.
Therefore, Miami gets 6.12 inches more rainfall during the same time period.
What value of "x" makes the equation below true?
-15 + (-5x) = 0
Answers
Answer:
-3
Step-by-step explanation:
x is negative, we need x to be negative as well in order to get to 0. Therefore, x has to be -3.
characterize the slope of the line in the graph
Answers
Answer:
Please check the attached graph.
Step-by-step explanation:
Note: You did not add the graph; so I am taking a sample graph to clear the concept anyway. Please check the referred graph attached below.
The slope on the graph basically tells us the time rate of change.
In other words, it describes the steepness of a straight line.The slope can also be termed as:
Slope = rise / runFrom the attached graph, taking twp points
(0, 3)(-1, 0)Finding the slope between (0, 3) and (-1, 0) using the formula
[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{0-3}{-1-0}[/tex]
[tex]m=3[/tex]
Thus, the slope of the given line on the graph = m = 3
1. Is this a function? (answer Yes, or No) 2. Find the Domain. 3. Find the Range
Answers
Answer:
Step-by-step explanation:
yes it is a function
find the slope of the line y = -2x + 3
Answers
Answer:
Step-by-step explanation:
which shows the rational expression written using the least common denominator x-2/x^3 + x+1/2x^3
Answers
Answer:
x=2 I think
Step-by-step explanation:
I'm not sure tho
Find f(3) if
f(x)=x^3 + 2x^2-x-1
Answers
Answer:
[tex] \underline{ \boxed{f(3) = 41}}[/tex]
Step-by-step explanation:
[tex] if \to \: f(x)=x^3 + 2x^2-x-1 \\ then \: f(3) = {3}^{3} + 2( {3)}^{2} - 3 - 1 \\ f(3) = 27 + 18 - 4 \\ f(3) = 41[/tex]
5) –3x – 3y=3
-5x + 2 y = 19
Answers
Answer:
x=31
Step-by-step explanation:
-3x-3(19)=3-5x+2
2x-57=5
2x=62
x=31
Have a good day
Kent has a $20 gift certificate for the
pet store. He chooses 2 angelfish
that each cost $3.45 and 3 clownfish
that each cost $4.82.
If he uses his gift certificate, how
much money will he need to pay?
Answers
Answer:
= $1.36
Step-by-step explanation:
[ 2(3.45) + 3(4.82) ] - 20
= [ 6.9 + 14.46 ] - 20
= [ 21.36 ] - 20
= $1.36
A tin of paint, 6 cm high, holds a half a litre of paint. How much paint would go into a similar
tin which is 12 cm high?
Answers
Answer:
One liter
Step-by-step explanation:
The first tin is 6 cm, holds 1/2 liter.
12 is double 6, because 6 x 2 = 12.
What you do to one side you have to do to the other, 1/2 x 2 = 1.
One liter of paint.
Georgia needed some batteries for her flashlights. She bought 4 batteries for $6.80. At that rate, how much would 10 batteries cost?
A
$0.68
B
$17.00
C
$21.70
D
$27.20
Answers
Answer:
B $17.00
Step-by-step explanation:
8 batteries are 13.60
6.80 split in half to become 2 is 3.40 and then I added 13.60 plus 3.40 to get 17.00
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7
How many students are in the class?
Answers
Given:
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7
To find:
The number of students in the class.
Solution:
Let the number of boys are girls are 4x and 7x respectively, where, x must be a positive integer because number of boys and girls is always a positive integer. Then, the total number of students is
[tex]\text{Total students}=4x+7x[/tex]
[tex]\text{Total students}=11x[/tex]
It means total number of students is multiply of 11.
Multiples of 11 are 11, 22, 33, 44, ... . So, multiples of 11 between 24 and 40 is 33.
Therefore, the total number of students in the class is 33.
can anyone help with this equation ?
Answers
Solve for h. V= 3.14r^2h
Answers
Answer:
v-42ryoggjihfjcfjbfj
Write the equation of this line in slope intercept form
Answers
Answer:
y = -10x + 60
Step-by-step explanation:
slope: rise/run = 10/-1x = -10x
y-intercept: 60
equation: y = mx + b,
y = -10x + 60
Ace Carlos
Answer:
y=-10x+60
Step-by-step explanation:
your first point is at 60
and it's going down by 10
What is the correct answer?
Answers
Answer:
the second one
Step-by-step explanation:
Answer:
the second answer -&- -&-
One batch makes 15 lemon bars and Josh ate 2. If Claire ate twice as many as him, how many lemon bars would be left from the batch? *
Answers
Answer:
There are 9 lemon bars left from the batch.
Step-by-step explanation:
One batch = 15 lemon bars
Josh: ate 2 lemon bars
[tex]15 - 2 = 13[/tex]
13 lemon bars remaining.
Claire: ate twice as many as Josh
Meaning: 2 × 2 = 4
[tex]13 - 4 = 9[/tex]
9 lemon bars remaining.
There are 9 lemon bars left from the batch.
Out triangle-shaped pennants on the first day of school. If each pennant has a base of 5 inches and a height of 12 inches, what is the area of each pennant in square inches?
Answers
Answer:
Area of the penny = 30 square inches
Step-by-step explanation:
Out triangle-shaped pennants on the first day of school. If each pennant has a base of 5 inches and a height of 12 inches, what is the area of each pennant in square inches?
The pennant is triangular in shape. Hence:
Area of a Triangle = 1/2× Base × Height
Base of the pennant = 5 inches
Height = 12 inches
Area of the pennant = 1/2 × 5 inches × 12 inches
= 30 square inches
6+ 9х2 + 32 - 410 - 95 - 5
ОА. 10
ОВ. 9
Ос. 4
OD. 6
Answers
Answer:
D its really basic math you can also just do it in a calculator lel
Urgent please help!!
Answers
Answer:
The equation is 0.5x - 5= y
Answer!?______________
Answers
Answer:
collen
Step-by-step explanation:
7% is 63c so 6% would be 54c
in turn collen pays more
Answer:
Brad pays less tax. He pays $0.08 more
Step-by-step explanation:
Collen pays $1.40 towards sales tax
Brad pays $1.32 towards tax
what are the coordinates of the circumcwnter of this triangle
Answers
Answer:
A: (-1,5) B: (-2,-1) C: (8,-1)
Which is equivalent to V1,215' ?
0 243
O 1,2155
O 1,2153
o 243 *
2437