Answers
Answer:
See below.
Step-by-step explanation:
Perimeter: use the Distance Formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance from (-3, 4) to (4, 5) is
[tex]\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}[/tex]
Distance from (4, 5) to (2, -3) is
[tex]\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}[/tex]
Distance from (2, -3) to (-4, 4) is
[tex]\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}[/tex]
Distance from (-4, 4) to (-3, 4) is
[tex]\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}[/tex]
The perimeter is the sum of all these distances.
Area:
To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle. See the attached figure.
The surrounding rectangle has area 8 x 9 = 72 square units.
The unwanted areas (green rectangles and four triangles). Remember, the area of a triangle is (1/2)(length)(width).
Rectangle A: 1 x 1 = 1 square unit
Triangle B: (1/2)(7)(1) = 3.5 square units
Triangle C: (1/2)(8)(1) = 4 square units
Triangle D: (1/2)(8)(2) = 8 square units
Triangle E: (1/2)(6)(1) = 3 square units
Rectangle F: 2 x 1 = 2 square units
Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units
Subtract this total from the surrounding rectangle's area to get
72 - 21.5 = 50.5 square units
Related Questions
Jake draws A POR on the coordinate plane
A. 20.13 units
B. 19.42 unit
C. 18.71units
D. 18 units
Answers
Arrange the matrices in increasing order of their determinant values.
Answers
Answer:
c, a, b
Step-by-step explanation:
Given
See attachment for matrices
(a)
[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]
[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]
Using trigonometry ratio, we have:
[tex]|D | = 1[/tex]
(b)
[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 2 * 2 - 0 * 0[/tex]
[tex]|D| = 4 - 0[/tex]
[tex]|D| = 4[/tex]
(c)
[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 0 * 0 -(-i * i)[/tex]
[tex]|D| = 0 +i^2[/tex]
[tex]|D| = i^2[/tex]
In complex numbers
[tex]i^2 = -1[/tex]
So:
[tex]|D| = -1[/tex]
So, the order of the determinants is: c, a, b
will give brainlist, pls help lol
Answers
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
x) sec’A + cosec?A
secA. cosecA
Answers
Answer:
(Sin A + Cos A)/Sin A. Cos A
Step-by-step explanation:
As we know
Sec A = 1/Cos A
and Cosec A = 1/Sin A
Given Equation
Sec A + Cosec A
Substituting the given values, we get -
1/cos A + 1/Sin A
(Sin A + Cos A)/Sin A. Cos A
I need Answer Immediately!!!!!
Answers
Answer:
I think it is 1 Block every 3 minutes
what is the answer to −5/12−3/10
Answers
Answer:
The answer is -0.71666666666 in decimal form.
In fraction form it is -43/60.
Step-by-step explanation:
Find the area of the figure below
Answers
Answer:
the answer 240
Step-by-step explanation:
times 24 and 10 to get 240 m
What is the area of the triangle?
10
8
6
Answers
Answer:
10
Step-by-step explanation:
What is the product of 3.8\times 10^23.8×10
2
and 6.4 \times 10^66.4×10
6
expressed in scientific notation?
Answers
Answer:
2.432 * 10⁹
Step-by-step explanation:
Given the expression;
3.8*10² × 6.4*10⁶
= (3.8*6.4)× (10²*10⁶)
= 24.32*10⁸
= 2.432* 10¹ * 10⁸
= 2.432 * 10⁹
Hence the product expressed as a scientific notation is 2.432 * 10⁹
Give the most precise selection
for the quadrilateral with the
following vertices.
P(0,0), Q(0,2a), R(2a,2a), S(2a,0)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
Answers
Answer:
Its definitley square to be precise so that's my answer, but its also a rhombus
Step-by-step explanation:
assuming a is 1, regardless, graph would always be square, which is a rhombus. hope square is correct :)
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
805
Step-by-step explanation:
[tex] {x}^{2} + 16x + 10 = 0[/tex]Split the middle term.
Answers
pliss give me the aswer
Answers
Answer:
AA
Step-by-step explanation:
AA
Answer:
15+ 8d
After d day,she has read 15 +8d pages
please help. It’s due tomorrow.
Answers
Answer:
It is assumed you need to find the area of shaded region.Results rounded to the nearest hundredth.#1
Shaded area:
A = 32² - 16*π*(32/8)² = 219.75 cm²#2
Shaded area:
A = π*2² - 2*π*(2/2)² = 6.28 cm²219.75cm²
3.14cm²
Answer:
Solution given:
1.
[r]radius of each circle =32/8=4cm
[l]length of square=32cm
Area of shaded region =area of square- area of 16 circle=l²-11*πr²=32²-16*π*4²=219.75cm²
Step-by-step explanation:
radius for big circle [R]=2cm
radius for small circle [r]=1cm
area of shaded region=area of big semi circle -2 area of semi small circle
=½πR²-2*½πr²
=½*π*2²-π*1²
=2π-π
=π=3.14cm²
An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees? \
Answers
Answer:
42 + 42 + z = 180
Step-by-step explanation:
Note that:
Base angles in an isosceles triangle are equal in measure.
The sum of angles in a triangle is 180°.
Thus, the equation would be
42 + 42 + z = 180
round your answer to the nearest hundredth
Answers
Answer:
hi
Step-by-step explanation:
To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredths place, and then remove all the digits to the right.
Answer:
Step-by-step explanation:
let the missing angle be x
take 65 degree as reference angle
use tan rule
tan 65=opposite/adjacent
2.14=x/7
2.14*7=x
14.98=x
10 pts
Remy is considering moving into a one-bedroom apartment in Quiet Trees Gardens. The apartment has
a monthly rent of $1,650.
Below are the fees she has been quoted. How much is she expected to pay up front in order to rent this
apartment?
Application: 1.5% of 1 month's rent
Credit application fee $30
Security deposit: 1 month's rent
Last month's rent
Broker's fee: 7% of 1 year's rent
$6,390.75
$6,820.35
O $3,090,75
$4,740,75
Question 4
10 pts
Answers
Answer:
Total amount pay for new apartment = $4,740.75
Step-by-step explanation:
Find:
Total amount pay for new apartment
Computation:
Particular Amount
Monthly rent of apartment $1,650
Add:
Application fee [1,650 x 1.5%] $24.75
Credit application fee $30
Security rent $1,650
Broker's fee [1,650 x 12 x 7%] $1,386
Total $4,740.75
Total amount pay for new apartment = $4,740.75
Which of the following is a non linear equation?
i) x/3 = 12
ii) x + 1 = 6
iii) x + y + z = 17
iv) x y + x/y = 3
Answers
Answer:
Option (iv) is correct.
Step-by-step explanation:
The linear equation is the equation in which the degree of the equation is 1.
(i) x/3 = 12
As the degree of equation is 1, so, it is a linear equation.
(ii) x + 1 = 6
As the degree of equation is 1, so, it is a linear equation.
(iii) x + y + z = 17
As the degree of equation is 1, so, it is a linear equation.
(iv) x y + x / y = 3
x y^2 + x = 3 y
The degree of equation is 3, so the equation is non linear.
HELP PLEASEIWJDO!NWDIOJQWILD
Answers
Answer:
5.66
Step-by-step explanation:
(-1,-3) (-5,1)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-1)]² + [1 - (-3)]²
√(-4)² + (4)²
√(16) + (16)
√32
= 5.66
it’s two different answers but i need help !!
Answers
Answer:
use this to help you determine your answer
Step-by-step explanation:
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.
please help i give all my points
Answers
where is the drip at?
How do the triangle theorems work. Asa aas sas hL?
Answers
Please help!!!!!!
BRainliest.
Answers
Answer:
4.974
Step-by-step explanation:
40:√100 + √9.√36
????
Answers
Answer:
28
Step-by-step explanation:
[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]
Jimmy's Bakery sold 950 donuts last week. This week, the number of donuts sold increased 12%. How many more donuts were sold this week?
Answers
Answer:
114
Step-by-step explanation:
12% of 950 is 114, so since 12% more donuts are sold this week, we sold 114 more donuts this week compared to last week.
what is 13 over 4 multiplied by 3 over 2
Answers
Answer:
so this is the correct answer right
Answer:
[tex]\frac{39}{8}[/tex]
Step-by-step explanation:
Multiply the numerators: [tex]13*3= 39[/tex]
Multiply the denominators: [tex]4*2=8[/tex]
Final answer: [tex]\frac{39}{8}[/tex]
It is in simplest form, by the way.
What number is a prime factorization of 60
Answers
Answer:
Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5.
(7x-3y)/(y-2x) = -(3/5).
Find the value of x/y.
Answers
Answer:
x = 12 y y = 29x
29 12
Step-by-step explanation:
Cross multiply to get
5(7x - 3y) = -3(y - 2x)
35x - 15y = -3y + 6x
35x - 6x = -3y + 15y
29x = 12y
x = 12y / 29
x/y = 12 / 29
Brittany stamps 20 letters in 1
hour. How many hours will it
take her to stamp 380 letters?
Answers
it will take her 19 hours to stamp 380 letters
Divide. 380/20= 19
Niall has half dollar mary has a tenth of a dollar and jack has a hundredth of a dollar if they combine their money do the 4 students have more or less than a dollar
Answers
Answer: Students have less than a dollar.
Step-by-step explanation:
Niall has $1/2
Mary has $1/10
Jack has $1/100
Add these up to see if they reach 1.
= 1/2 + 1/10 + 1/100
Convert to decimals by dividing the numerator by the denominator:
= 0.5 + 0.1 + 0.01
= $0.61
Students have less than a dollar.