Answers
Answer:
UY = 14
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertexIn the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U
∴ UY: YZ = 2: 1
∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ UY × 1 = YZ × 2
∴ UY = 2YZ
∵ UZ = UY + YZ
∴ UZ = 2 + 1 = 3 parts
∵ UY = 2 parts
∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]
→ Multiply both sides by UZ
∴ UY = [tex]\frac{2}{3}[/tex] UZ
∵ UZ = 21
∴ UY = [tex]\frac{2}{3}[/tex] (21)
∴ UY = 14
Related Questions
someone please help!
Answers
IT IS THE THIRD ONE:
3+8.486
because I find it like that
For the expression, select all equivalent expressions from the list.
54y - 24
A. 6(9y - 4)
B. 30y
C. 27y - 12
D.6 x 9y - 6 x 4
Answers
Answer:
the correct answer is A , D
Find the simple interest for 3 years at a rate of 5% on $200
Answers
Answer:
The simple interest is $30
Step-by-step explanation:
To find this, we use the simple interest formula
Mathematically, this is;
I = PRT/100
P is the principal = $200
R is the rate = 5%
T is the time = 3 years
Substituting these values, we have;
I = (200 * 5 * 3)/100
I = $30
Help please!!!!!!!! I need help with this ASAP!
Answers
9514 1404 393
Answer:
2.89 m
Step-by-step explanation:
The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.
The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...
Sin = Opposite/Hypotenuse
sin(12°) = (0.6 m)/(PR)
PR = (0.6 m)/sin(12°) ≈ 2.886 m
PR ≈ 2.89 m
The distance to the subject is about 2.89 meters.
Multiply 2ab(−a+2b+3).
−2a2b+4ab2+6ab
8a2b2
−2a +2ab+3b
8ab
Answers
Answer:
−2a2b+4ab2+6ab
Step-by-step explanation:
i took the test
A school purchases a used van that costs $10,000. The value, V(t), in dollars, of the van t years since its purchase is modeled by the exponential function V(t)=10,000(0.8)^t . Select ALL statements that are true regarding the value of the van. a.The value of the van decreases by 20% each year since its purchase. b.The value of the van decreases by 80% each year since its purchase. c.The value of the van decreases by $2,000 each year since its purchase. d.Each year since its purchase, the value of the van is 80% of the value of the previous year. e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Answers
Answer:
a.The value of the van decreases by 20% each year since its purchase.
b.The value of the van decreases by 80% each year since its purchase.
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Step-by-step explanation:
From the above question, we are given the Exponential function
V(t)=10,000(0.8)^t
Verifying the given options:
a.The value of the van decreases by 20% each year since its purchase.
Option a is correct , this is because, the Exponential function above is and Exponential Decrease.
The formula is given as:
V(t) = 10000(1 - r) ^t
Where r = Decreasing rate
Comparing
= 1 - r = 0.8
= 1 - 0.8 = r
r = 0.2
Converting to percentage
= 0.2 × 100 = 20%
Option a is correct
b.The value of the van decreases by 80% each year since its purchase.
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option b is correct
c.The value of the van decreases by $2,000 each year since its purchase.
Option C is incorrect
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Option d is correct because
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option d is correct
e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Option e is incorrect
From the options given in the question, the correct statements are,
Options a, b, and d.
please help again lol
Answers
hope this helps
Answer:
55%
Step-by-step explanation:
One whole box is shaded plus that one line, if you separate both into 2 100%, the one line will equal to 10% but then divide the 10% in half and the 100% which will equal to 55%
What is the value of the expression below? 5+2(10 + 5)
Answers
Or if you’re multiplying it would be 15 x 7
Its pretty easy if you are good at math! Please help!
Answers
Step-by-step explanation:
Explanation:
The trick is to know about the basic idea of sequences and series and also knowing how i cycles.
The powers of i will result in either: i, −1, −i, or 1.
We can regroup i+i2+i3+⋯+i258+i259 into these categories.
We know that i=i5=i9 and so on. The same goes for the other powers of i.
So:
i+i2+i3+⋯+i258+i259
=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)
We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.
=65(i)+65(i2)+65(i3)+64(i4)
From here on out, it's pretty simple. You just evaluate the expression:
=65(i)+65(−1)+65(−i)+64(1)
=65i−65−65i+64
=−65+64
=−1
So,
i+i2+i3+⋯+i258+i259=-1
1/3 divided by 4
2/5 divided by 4
4/7 divided by 4
2/5 divided by 3
5/6 divided by 5
5/8 divided by 10
Answers
2. 2/5 divided by 4 is 0.1
3. 4/7 divided by 4 is 0.1428
4. 2/5 divided by 3 is 0.1333
5. 5/6 divided by 5 is 0.1666
6. 5/8 divided by 10 is 0.0625
Answer:
1. 0.0833
2. 0.1
3. 0.1428
4. 0.1333
5. 0.1666
6. 0.0625
can someone pls help!!!
Answers
3n+4=10
answer= n=2
c+2=18
What is the constant in the expression -18 - 3a
Answers
Answer:
'-18' is the constant in the expression -18 - 3a.
Step-by-step explanation:
We know that in an algebraic expression the constant term has a fixed value and it can not be changed.
For example,
The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.
IN OUR CASE,
Given the expression
-18 - 3a
As '-18' is a fixed number and its value can not be changed.
Therefore, '-18' is the constant in the expression -18 - 3a.
How many expressions can you find using and that have a value of 12 a=6 b=4 c=-2
Answers
Answer:
Step-by-step explanation:
Some of the expressions that can be derived that have the values of 12 are:
i. 2a = 2 x 6
= 12
ii. 3b = 3 x 4
= 12
iii. (b + c) x a = (4 - 2) x 6
= 2 x 6
= 12
iv. 2b + [tex]c^{2}[/tex] = (2 x 4) + (-2 x -2)
= 8 + 4
= 12
v. [tex]b^{2}[/tex] - [tex]c^{2}[/tex] = (4 x 4) - (-2 x -2)
= 16 - 4
= 12
vi. [tex]c^{4}[/tex] - b = (-2 x -2 x -2 x -2) + 4
= 16 - 4
= 12
3х +2у = -5
Чx - Зу = 16
Answers
3х +2у = -5 Xx - Pe = 16
Can anybody help me with this one
Answers
9514 1404 393
Answer:
A(-8, 6), D(-1, -16), E(17, -3)
Step-by-step explanation:
Any point with an x-value that matches any of {-8, -1, 5, 15, 17} will prove Mariela's claim incorrect. (A function cannot use an x-value more than once.)
Those points are ...
(-8, 6), (-1, -16), (17, -3)
On a certain hot summer's day, 263 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50. How many children and how many adults swam at the public pool that day?
Answers
Answer:
The number of children = x = 176
The number of Adults = y = 87
Step-by-step explanation:
Let us represent
The number of children = x
The number of Adults = y
On a certain hot summer's day, 263 people used the public swimming pool.
x + y = 263.... Equation 1
x = 263 - y
The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50.
$1.25 × x + $2.50 × y = $437.50
1.25x + 2.50y = 437.50.....Equation 2
We substitute 263 - y for x in Equation 2
1.25(263 - y) + 2.50y = 437.50
328.75 - 1.25y + 2.50y = 437.50
- 1.25y + 2.50y = 437.50 - 328.75
1.25y = 108.75
y = 108.75 ÷ 1.25
y = 87
Solving for x
x = 263 - y
x = 263 - 87
x = 176
Therefore:
The number of children = x = 176
The number of Adults = y = 87
answer please
.........
Answers
Hey there!
The perimeter of the floor plan is 30 inches.
Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30
The area of the floor plan is 54 inches²
Area is length x width, so we can do 9 x 6 = 54
The perimeter of the actual size is 105 feet
First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:
9 x 3.5 = 31.5 feet
6 x 3.5 = 21 feet
Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105
The area of the actual size is 661.5 inches²
Area is length x width, so we can do 31.5 x 21 = 661.5
Hope this helps! Tell me if you need more help.
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have? 6 ounces 12 ounces 18 ounces 27 ounces Please help cuz im in a pretest and my brain is ded
Answers
Complete question :
The graph below shows the percentages of ingredients in a salad mix.
A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots.
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
Answer:
18 ounces
Step-by-step explanation:
From the pie chart ;
The percentage of each Salad mixture in the mix is given ;
Romaine lettuce occupies 27% of the total salad mix ;
The total of amount of ounce of the entire salad mix is 64 ounce
Therefore, number of ounces of Romaine lettuce in the salad mix is ;
27% of 64
0.27 * 64
17.28
= 18 ounces
What is the equation of the line that passes through the point (4,-3)(and has a slope of 11?
Answers
Answer: -3 = 11(4) + b
Step-by-step explanation: y = mx + b, -3 is the y, 11 is the slope (m), 4 is the x, b is the y-intercept which is unknown unless you solve for it.
When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?
Answers
Answer:
The answer is 1/36
Step-by-step explanation:
Step one:
Given data
sample space= $1, $2,$5,$10,$20,$50
sample size= 6
Required
The probability of choosing 20 and 10 dollar bill
Step two
The probability is
1/6*1/6= 1/36
HELP!!!!!!! Solve the equation |x-1|+3=2
Answers
The absolute value of x-1 is x+1
Our new equation: x+1+3=2
X+4=2
Then you have to isolate the variable
X+(-4+4)=(2-4)
Answer: X=-2
whats 4 +4
guys pls help
Answers
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
NEED HELP ASAP PLS HELP WILL GIVE BRAINLIEST
A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a triangle is the sum of its side lengths.
Answers
Answer:
Step-by-step explanation:
P= a+b+c
P= 1512+223+314
=2049
PLEASE HELP QUICK
4x^2-7x-15 factored completely.
Answers
Answer:
(4x+5)(x-3)
Step-by-step explanation:
You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.
The regular price of a skateboard is p. Which expression represents the price of the skateboard when it is on sale for 25% off? Select all that apply.
Answers
Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p
Step-by-step explanation:
Given: Regular price of a skateboard is p.
Discount = 25% off = 0.25p
Now, the price of the skateboard when it is on sale for 25% off = p - Discount
= p -0.25p
= (1-0.25)p
= 0.75p
Hence, the expression represents the price of the skateboard when it is on sale for 25% off = 0.75p
Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p
Step-by-step explanation:
Which equation is equivalent to 8x + 2y = 10?
Answers
Answer:
y=-4x+5
Step-by-step explanation:
8x+2y=10
2y=10-8x
divide by 2
y=5-4x
y=-4x+5
PLZ: show work, solve for x:
Answers
x+11/-2=-8
x+11/-2 x -2= -8 x -2
x+11= 16
X+11-11=16-11
x = 5
Hard Equation that equals 1-25
Answers
Answer:
8000000000000000000000000000000000
Answer:
5X5=
-X4=
-+25=
-divide by 5=
Step-by-step explanation:
hope thats ok for you please mark me as brainliest
Simplify the expression by combining like terms: 5w - W - 16
Answers
Answer:
4w-16
Step-by-step explanation:
the only like terms in this equation are the w, so subtract them and you get 4w-16.
IM BEING TIMED PLZ HURRY AND THANKS What is the sum of a° + c°
Answers
Answer:
300°
Step-by-step explanation:
a° is 180°
c° is 120° (from 180° = 60° + c°)