The perimeter of qudrilateral ABCD, to the nearest tenth is: 14.6 units.
What is the Perimeter of a Quadrilateral?Perimeter of a quadrilateral = sum of all its four sides.
Given the qudrilateral with the vertices:
A (3, 5)B (1, 3)C (3, -1)D (5, 3)Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex] to find AB, BC, CD, and AD.
AB = √[(1−3)² + (3−5)²]
AB = √8 = 2.8 units
BC = √[(1−3)² + (3−(−1))²
BC = √20 = 4.5 units
CD = √20 = 4.5 units
AB = √8 = 2.8 units
Perimeter of qudrilateral ABCD = 2.8 + 4.5 + 4.5 + 2.8 = 14.6 units.
Learn more about the perimeter of a quadrilateral on:
https://brainly.com/question/9145366
A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answer:
45; 9
Step-by-step explanation:
1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.
2) the basic formula is: D=r*t, where D - distance, r - rate/velocity, t - time;
3) according to the condition it takes 3 hours to travel 108 km upstream, it means according to the formula above 3(b-c)=108;
4) according to the condition it takes 2 hours to travel 108 km downstream, it means according to the formula above 2(b+c)=108;
5) if to make up the system of two equations, then:
[tex]\left \{ {{3(b-c)=108} \atop {2(b+c)=108}} \right. \ => \ \left \{ {{b=45} \atop {c=9}} \right.[/tex]
6) rate of the boat in still water: 45 km/h;
rate of the current: 9 km/h.
simplify the expression -2d + -2d - 9 + -9
Answer:
-4d-18
Step-by-step explanation:
Combine like terms:
-2d and -2d can combine since they have the same variable of d creating the term of -4d and -9 and -9 can combine to create -18. Put those together and you get the answer above.
Answer:
-4d-18
Step-by-step explanation:
A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?
Answer:
15 rides
Step-by-step explanation:
29.50 - 7 = 22.50
22.50 / 1.50 = 15
3 (7/5x+4) -2 (3/2 - 5/4x)
Answer:
I know the mixed number will be 1 because u subtracts that's all I know and just subtracts the fractions ok sorry
Answer:
[tex]6\frac{7}{10}x + 9[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]3(\frac{7}{5}x + 4)-2(\frac{3}{2}-\frac{5}{4}x)[/tex]
[tex](3*\frac{7}{5}x) + (3 * 4) + (-2 * \frac{3}{2}) + (-2 * -\frac{5}{4}x)[/tex]
[tex]\frac{21}{5}x + 12 + \frac{-6}{2} + \frac{10}{4}x[/tex]
Step 2: Combine Like Terms
[tex]12 - 3 + \frac{21}{5}x + \frac{5}{2}x[/tex]
[tex]9 + (\frac{21*2}{5*2}x + \frac{5*5}{2*5})[/tex]
[tex]9+(\frac{42}{10}x + \frac{25}{10}x)[/tex]
[tex]9+\frac{67}{10}x[/tex]
[tex]6\frac{7}{10}x + 9[/tex]
Answer: [tex]6\frac{7}{10}x + 9[/tex]
Please let me know if you need to make it more clear! :)
Identify the range of the function shown in the graph.
O A. y> 0
O B. -5 sys5
O C. Osys 5
OD. yis all numbers.
PREVIOUS
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the plots and graphs.
Since, the x axis varies from -infinite to +infinite,
here, the y totally varies from -5 to +5,
hence, the option B.) is correct.
===>
[tex] - 5 \leqslant y \leqslant 5[/tex]
In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find
the measure of ZI to the nearest tenth of a degree.
Answer:
58.4
Step-by-step explanation:
delta math give up
A farmer sells 8.9 kilograms of pears and apples at the farmer's market. 1 4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
7.5 kilograms of apples
Step-by-step explanation:
Take the total amount and subtract the amount of pears.
8.9-1.4=7.5
Answer:
If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples
pears = 8.9 - 3.56 = 5.34 kilos
if apples are 2/5, then pears are 3/5. 3/5 x 8.9 = .6 x 8.9 = 5.34 kilos of pears
what is the slope of the line that passes through the points (2,-3) and (2,13)? write your answer in simplest form
Answer:
The slope is undefined because there is no change in x, making it a vertical line
Step-by-step explanation:
Divide x2 by x - 1. What is the value of the remainder?
A) 1
B) -1
C) 2
D) o
Answer:
I think it's B.
Step-by-step explanation:
Divide using polynomial division.
x + 1 + 1/ x − 1.
Maybe not 100% sure.
What is the volume of the pyramid in the diagram?
25 cm
h = 15 cm
15 cm
20 cm
OA 1,500 cm
OB. 2,500 cm
OC 4.500 cm
Answer:
Step-by-step explanation:
Wheres the diagram??
Incomplete q
How do savings account differ from checking accounts
- they’re not offered at banks
- they typically pay interest
- the funds are easier to get
-you have to keep the money in for a long
Answer:
Savings accounts typically pay interest.
Step-by-step explanation:
what is the shape and direction of f(x)=(x+7)(x+11)
Given:
The function is
[tex]f(x)=(x+7)(x+11)[/tex]
To find:
The shape and direction of the given function.
Solution:
We have,
[tex]f(x)=(x+7)(x+11)[/tex]
It can be written as
[tex]f(x)=x^2+11x+7x+77[/tex]
[tex]f(x)=x^2+18x+77[/tex]
It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.
The leading coefficient is positive so the parabola opens upward.
Therefore, the given function is a vertical parabola that opens upward.
Write down the name of the solid.
Answer:
Cube
Step-by-step explanation:
write an integer for each
1- a deposit for $40
2- a loss of 25 pounds
please this assignment locks soon and it’s already over due,
Answer:
1. 40
2. -25
Step-by-step explanation:
I'm sure this is the answer
give brailist but help me fast
Answer:
76.7
Step-by-step explanation:
11.3(3) + 10.7(4) = __ + 42.8
Multiply values
33.9 + 42.8 = __ + 42.8
The missing value is 33.9!
42.8 + 33.9 = 76.7
What is the answer plz
Answer:
A = 180m²
Step-by-step explanation:
To find the area of the bottom rectangle subtract the height of the top rectangle. Hope that makes sense if you want a another just ask.
Whats the answer to these? (These are called Proper fractions.)
Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?
Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?
Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?
Answer:
1: 7/10
2: 3/10
3: 4/8 (2/4 or 1/2 if you need to simplify it)
Step-by-step explanation:
1: Convert 2/5 to tenths by multiplying the denominator and numerator by two. 3/10 plus 4/10 is 7/10
2: Convert 4/5 and 1/2 to tenths.
4/5 is going to be 8/10, 1/2 is going to be 5/10.
Subtract 5/10 from 8/10 to get 3/10
3: Convert 1/4 to eighths to get 2/8. Then add 2/8 and 2/8 to get 4/8.
Which of the following is equivalent to log 25 125?
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Did you mean [tex]log_{25}[/tex] 125, so that your base is 25? If so then all you do is ask yourself "25 to what power is 125?" since [tex]25^{\frac{3}{2} }[/tex] = 125, then the [tex]log_{25}[/tex] 125 = 3/2
what is the answer for number 1?
Answer:
28.26
Step-by-step explanation:
A = pie x radius*2
The radius is 3, and pie is 3.14. This means the equation is
A = 3.14 x 3*2
3*2 is just 3 x 3, which is 9.
9 x 3.14 = 28.26
help me please
bddbdbbdbd
What is the volume of a cube with a side length of 3t5units?
Cube V = s3
Answer:
V=a3=33=27
Step-by-step explanation:
sorry if its wrong
10 cm
a
6 cm
What is the length of the missing leg?
a =
centimeters
Answer:
10×6
= 60
Step-by-step explanation:
maaf kalau salah
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangular garden as shown below. Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?
Answer:
1,482 square feet
Step-by-step explanation:
Find total area - 37 x 46 = 1,702
Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden
Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft
Round 1526.04 to the nearest tenths
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!
Answer: 105 km
Step-by-step explanation:
(15 km / 2.5 cm) x 17.5 cm = 105 km
What Is The Answer
k3 - 4j +12, when k=8, j=2
Answer:
The answer would be 28
Step-by-step explanation:
You would plug 8 in where k is and 2 where j is
so (8)3 - 4(2) +12
answer is 28
A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function
Answer:
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
Step-by-step explanation:
[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]
Expand and get
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
The standard form will be [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
What will be the standard form of the given expression?The given expression is
[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]
[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]
[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
Thus the standard form will be
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
To know more about Polynomials follow
https://brainly.com/question/15702527
a taxi company currently has nine cabs in its fleet, and its total daily cost is 4,000. if the company added a 10th cab its daily total cost would be 4.200 or 420 per cab.
Answer:
4000÷9 the answer it gaves for one you add it to the 4000
every day, andrews orange juice stand uses 2 bags of oranges. How many days with 2/3 of a bag of oranges last?
Answer:
2/3
Step-by-step explanation:
What’s the answer to this