Answer: b is correct
Step-by-step explanation: i did this
The area of rectangle ABCD is 34 square unit.
What is Distance Formula?In a cartesian plane there are two coordinates as P(a, b) and Q(c, d) then the distance between these points are
PQ = √(c- a)² + (d- b)²
We have Coordinates of rectangle
A(-1, 4), B(3, 3), C(1, -5) and D(-3, -4)
Using Distance Formula
AB = √ (3-4)² + (3+1)²
AB = √1 + 16
AB = √17 unit
Now, CB = √(-5-3)² + (1-3)²
CB= √ 64 + 4
CB = √68
CB = 2√17 unit
So, the area of Rectangle ABCD is
= l w
= √17 x 2√17
= 2 x 17
= 34 square unit
Learn more about Distance Formula here:
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D 75.4 cm2
24. What is the surface area of the given sphere?
12 cm
A 48 cm2
B 1441 cm
C 5767 cm
D 23041 cm2
Solve the inequality
x/2 > 1.52
Answer:
x> 3.04
Step-by-step explanation:
See The Image below:)
Asia Durr is practicing her free throws for the upcoming season. She took 12 shots and made 9 shots. Predict how many free throws Asia Durr would make if she took 72 shots in the season.
Answer:
its
Step-by-step explanation:
help with the Measure of a triangle’s side
Answer:
x = 163.5
x = 1.2
Step-by-step explanation:
Recall: SOH CAH TOA
For the first triangle:
Reference angle = 73°
Opposite = x
Adjacent = 50
Apply TOA:
Tan 73° = Opp/Adj
Tan 73° = x/50
50*Tan 73° = x
163.542631 = x
x = 163.5 (nearest tenth)
For the first triangle:
Reference angle = 4°
Opposite = x
Adjacent = 17
Apply TOA:
Tan 4° = Opp/Adj
Tan 4° = x/17
17*Tan 4° = x
1.1887558 = x
x = 1.2 (nearest tenth)
Right Triangles
Solve the right triangle shown in the figure
BC = 2.7cm, AC = 1.1cm, ∠C = 90°
a. ∠A = 68°, ∠B = 22°. AB = 2.9cm
b. ∠A = 22°, ∠B = 68°, AB = 2.9cm
c. ∠A = 63°, ∠B = 27°, AB = 2.9cm
d. ∠A = 24°, ∠B = 66°, AB 3.8cm
Please select the best answer from choices provided
Answer:
A. ∠A = 68°, ∠B = 22°, AB = 2.9cm
Step-by-step explanation:
I calculated it logically
A $146 tent was sold for 20% off. There was a sales tax of 4%. What was the discount
amount, sales tax and final cost of the tent?
the discount price was 29.2
step by step 146 minus 20% = 116.8 116.8 + 4% =121.472 the sales tax added 4.672$ to the total amount and the discount price removed 29.2 of the required pay
A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5.
What is the area of the new rectangle?
Enter your answer in the box.
in2
Answer:
882 in^2
Step-by-step explanation:
Suppose that A, B, C, D, and E are matrices with the following sizes:
A B C D E
(4x 1) (4 x 1) (1 x 2) (2 x 1) (1 x 4)
Determine whether the matrix expression E (3B + A) is defined. Matrix is defined Enter the size of the resulting matrix (enter 'NA in each box if undefined).
E (3B + A) is a 3 X 3.
Answer:
The expression E (3B + A) is defined. The size of the resulting matrix is (1 x 1).
Step-by-step explanation:
Let's consider the following operations between matrices.
E (3B + A)
B is a matrix of (4 x 1), that is, it has 4 rows and 1 column. Let F = 3B. This is the product of a scalar by a matrix, which results in a matrix of the same size as the original. Then, F is a matrix of (4 x 1).
Now, let's consider the sum F + A, which we well call G. We can sum F and A because they are of the same size and we will get G, a matrix of the same size, (4 x 1).
Finally, we have the product E . G. We can multiply 2 matrices of sizes (m x k) and (k x n), that is, the number of columns of the first matrix must be equal to the number of rows of the second matrix, and the resulting matrix has a size (m x n). This is the case because E is (1 x 4) and G is (4 x 1), and the resulting matrix will be (1 x 1).
For which of the following compound inequalities is there no solution?
Answer:
(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]
Step-by-step explanation:
Required
Which of a to d has no solution
(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]
We have: [tex]m + 24 > 20[/tex]
Sole for m
[tex]m >20 - 24[/tex]
[tex]m >-4[/tex]
[tex]6m \le - 36[/tex]
Divide by 6
[tex]m \le -6[/tex]
So, we have:
[tex]m \le -6[/tex] and [tex]m >-4[/tex]
[tex]m \le -6[/tex] implies that: m = -6,-7,-8,-9.....
[tex]m >-4[/tex] implies that m = -3,-2,-1,0.....
Hence, there is no solution
Melanie volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 467 people went to The Youth Wing, 433 people went to Social Issues, and 342 went to Fiction and Literature.On Sunday, the library had 1500 total visitors. Based on what Melanie had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number.
Answer:
413 people should be expected to go to Fiction and Literature
Step-by-step explanation:
Proportion of people who went to Fictions and Literature on Saturday:
342 out of 467 + 433 + 343 = 1243
The proportion is:
342/1243 = 0.275
On Sunday:
Based on Saturday, so 0.275 out of 1500(number of visitors on Sunday).
0.275*1500 = 412.5
Rounding to the nearest whole number:
413 people should be expected to go to Fiction and Literature
What is the value of the expression below when x =6 and y =2? Xy-y^3
Which expression is equivalent to -51 - (-60)?
Choose 1 answer:
А
-60 +(-51)
В.
-51 +60
51 - 60
60 + 51
2 of 4
What is the mode for the following set of data?
2, 5, 7, 8, 11, 11, 12
8
10
11
no mode
Answer:
11 is the answer
Step-by-step explanation:
please answer this question
itss 11
Step-by-step explanation:
no worries about it is the same time for me
Find the x and y intercept of the equation -2x+4y=12
Answer:
x and y intercept
x —> (–6,0)
y —> (0, 3)
The sections on a spinner are numbered from 1 through 8. If the probability of landing on a given section is the same for all the sections, what is the probability of spinning a number less than 3 or greater than 5 in a single spin?
Answer:
5/8
Step-by-step explanation:
There are two numbers from one to eight that are less than three (1 and 2). So 2/8 of the numbered sections are less than three.
There are three numbers from one to eight that are greater than five (6, 7, and 8). So 3/8 of the numbered sections are greater than five
Probability of getting a number less than three: 2/8
Probability of getting a number greater than five: 3/8
Probability of getting either in a single spin = 2/8 + 3/8 = 5/8
I am the distance around the circle- it's perimeter WHAT AM I?
Which sentence is punctuated correctly?
A) For breakfast we had bacon, and eggs, fruit juice, and cereal.
B) The novelist wrote poetry, short , stories and plays about her childhood in North Dakota .
C) The bank has branches in downtown Portland Beaverton Milwaukie , and Vancouver .
D) The athlete won the triathlon by running, a marathon , swimming two miles, and bicycling around the island.
Answer:
A) For breakfast we had bacon, and eggs, fruit juice, and cereal.
Hope this helps!!
What does it mean to restate using scientific notion
Restating into scientific notation means, making a super big or a super small number, more understandable to read. For example,
5,972,000,000,000,000,000,000,000.0012 is a big number. I don't think you even tried to read that. There is a solution to this problem. This is the exact number but in scientific notation. 5.972 × 10^24. Isn't that easier to read?
Please help I really need this done
Answer:
your total is..
Step-by-step explanation:
$14.3 you just gotta add em all together!
Answer:
$69
Step-by-step explanation:
total cost of slices of pizza = 24 x 1.75 = $42
Total cost of carrots = 12 x 0.80 = $9.6
total cost of cookies = 12 x 1.45 = $17.4
total cost = 42 + 9.6 + 17.4 = $69
1. If AB = 4x+5 and CD = 5x-6, find CD.
Answer:
49
Step-by-step explanation:
Work is shown in the image
2x+ 4y=20 find the slope for y and x
Answer:
y= 5 x=10
Step-by-step explanation:
substitute by 0
Can anybody give me the answers to these questions
Answer:
830 cents
5n + p
Step-by-step explanation:
Given that :
Number of nickels = 140
Number of pennies = 130
Total coins :
140 nickels + 130 pennies
1 nickel = 5 cent
1 penny = 1 cent
Hence,
140(5) + 130(1)
700 + 130
= 830 cents in total
If :
number of nickels = n
Number of pennies = p
Tot coins :
5n + 1p
5n + p
There are 84 rabbits in the garden. What is 84 rounded to the nearest 10?
Answer:
84.
Step-by-step explanation:
The 8 is in the 10s place and 4 is lower than 5. anything lower than 5 should be rounded down.
2×x×3×y
[tex]2 \times x \times 3 \times y[/tex]
Answer:
6xy
Step-by-step explanation:
help please and thank you
Answer:
B
Step-by-step explanation:
its 60°
thank me later
Answer:
B
Step-by-step explanation:
Triangles have angle totals adding to 180. You already have 120 so the other must be 60.
A frozen yogurt shop charges $1.50 for a cone plus $0.35 for each scoop of
frozen yogurt. Rose paid $2.90 for her frozen yogurt. How many scoops did
she have?
Type your answer...
PLS HELP PLS PLS!!
Order from greatest to least: 12, -4,8, -3, 0.
Answer:
-4,-3,0,8,12 its backwards my bad
Step-by-step explanation:
because it is
Answer:
12, 8, 0, -3, -4
hope it helps
PLEASE HELP ASAP!!!
Write the equation of the following graph in intercept form!
Answer:
f(x) = 2/5 x² -6/5 x -4
Step-by-step explanation:
<=> -2/5 (x+2)(x-5)
-2/5 (x²-3x-10)
-2/5 x² + 6/5 +4
<=> 2/5 x² -6/5 x -4
Solve 5(2x + 3) = 20
Answer:
Therfore, the value of x is 1/2.
Step-by-step explanation:
5(2x + 3) = 20
10x + 15 = 20
10x = 20-15
10x = 5
x = 5/10
x = 1/2
Answer:
0.5
Step-by-step explanation:
5(2x + 3) =20
10x + 15 = 20
10x = 20-15
10x =5
x= 1/2