Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? 6 O 3V17 square units B (3, 3) O 6/17 square units O 17 square units O 34 square units 6-5-4-3-2-11 3 4 5 6 X -3 C (1.-5)​

Answers

Answer 1

Answer: b is correct

Step-by-step explanation: i did this

Answer 2

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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Related Questions

Lorenzo has 4 packages of granola bars.
Each package has 10 bars.
He eats one bar from each package.

Which equation shows how Lorenzo can correctly find the total number of granola bars remaining?

4 × 10 – 4 = 36 granola bars

4 × 10 × 1 = 40 granola bars

4 × 10 + 4 = 44 granola bars

4 + 10 – 4 = 10 granola bars

Answers

Answer:

A. 4 x 10 - 4 = 36

Step-by-step explanation:

Ten bars are in a package and there are 4 packages

1 bar is eaten from the 4 packages

40 - (1 x 4) =

40 - 4 =

36

The answer is 4x10-4=36

Jordan estimated that his paper airplane would fly 42 feet. It actually traveled 50 feet. What was the percent error?

Answers

[tex] \huge \mathcal{ Answer࿐}[/tex]

Error (e) = 50 - 42 = 8 feet

assumed value (a) = 42 feet

[tex] \boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]

[tex] \mathrm{ \% \: error =\dfrac{8}{42}} \times 100[/tex]

[tex] \mathrm{ \% \: error = \dfrac{800}{42} }[/tex]

[tex]\mathrm{ \% \: error = 19.04 \%}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

What percent of 186 is 93?


No links please help

Answers

Answer: 50%

Step-by-step explanation:

Answer:

What percent of 186 is 93?

answer:50

Can someone help me find the median first quartile second quartile third quartile and the interquartile range
for the questions
4.
5.
6.
7.

Answers

4) Q1. 24
Q3. 37.5
IQR. 13.5
M. 28

5) Q1. 54.5
Q3. 61.5
IQR. 7
M. 59

6) Q1. 73.5
Q3. 82
IQR. 6.5
M. 76

7) Q1. 107
Q2. 125
IQR. 18
M. 118

What is z if x = 25, u = 22, o= 6, and
n = 9?

A. -2.5
B. -1.5
C. 1.5
D. 2.5

Answers

Answer:

what's the equation????

solve for x?

A. 2
B. 15
C. 50
D. 10​

Answers

Answer:

Is it C. 50

Step-by-step explanation:

Answer:

Easy is 15 bc 15 and 10 are in a 5 equal to 5 x 2 10 and you take the 5 away from the 50 and so its 15 trust

Step-by-step explanation:

"Last week you sold 30, 45, 50, 75, and 80 units each day of the week, in that order. On average, how many units did you sell per day?

Answers

Answer:

56

Step-by-step explanation:

Average = sum/count

sum = 30 + 45 + 50 + 75 + 80

sum = 280

Count = 5

Average = 280/5

Average = 56

Answer:

56

Step-by-step explanation:

30+45+50+75+80=280

280÷5 days =56 units per day

A building has 7 office suites generating annual potential rent of $9,000 each. Vacancy = 8% and annual expenses are $25,000. Vending machines yield $3,000. What is the NOI?

Answers

Answer: use the link

Step-by-step explanation: sdghs/dt/776n.tvbusaa.;

A study conducted by a commuter train transportation authority involved surveying a random sample of 200 passengers. The results show that a customer had to wait on the average 9.3 minutes with a standard deviation of 6.2 minutes to buy his or her ticket. Find the upper confidence limit (UCL) for a 95% confidence interval for population mean , the true mean waiting time. Round your answer to two decimal places.

Answers

Answer:

The UCL of the 95% confidence interval for population mean is 10.16 minutes

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{6.2}{\sqrt{200}} = 0.86[/tex]

The upper end of the interval is the sample mean added to M. So it is 9.3 + 0.86 = 10.16 minutes.

The UCL of the 95% confidence interval for population mean is 10.16 minutes

Write the explicit equation.
-8, -2, 4, 10

Answers

Answer:

a*n = -8 + (n - 1)6

Step-by-step explanation:

Explicit formula:

a*n = a*1 + (n - 1)d

a*1 = first term

n = nth term or the place

d = difference

Set: -8, -2, 4, 10

-8 ---> -2 = 6 added

Fill it in.

a*1 = -8

n = n

d = 6

Solution:

a^n = -8 + (n -1)6

Exhibit 11-1 Last year, the standard deviation of the ages of the students at UA was 1.81 years. Recently, a sample of 10 students had a standard deviation of 2.1 years. We are interested in testing to see if there has been a significant change in the standard deviation of the ages of the students at UA. Refer to Exhibit 11-1. The test statistic is

Answers

Answer:

test statistic = 12.115

Step-by-step explanation:

Given data :

std = 2.1 years

n = 10

( std )^2 = 4.41

determine the test statistic

apply a two-tailed test ( chi squared test for one population variance )

test statistic

λ^2 = [tex]\frac{(n-1)s^2}{3.2761}[/tex]   ( Referring to Exhibit 11-1 )

      = ( 10 - 1 )*(2.1)^2 / 3.2761

      = 12.115

a house purchased for 170828 is worth $73828 after 12 years. assuming that the house's value depreciated the same amount from year to year, what was it worth at the end of the year 4? Round to the nearest cent.​

Answers

Answer:

After four years the house was worth $128,891.03

Step-by-step explanation:

170828(x)^12 = 73828

solve for x

x = 0.932 (House depreciates by 6.8% yearly)

plug in x and change into function and substitute 4 for 12 because it's 4 years

170828(0.932)^4

128891.0334

Answer:

Match the packaging type with the number of seedlings it contains.

gerbera daisy cell pack

gerbera daisy flat

standard flat

standard cell pack

Step-by-step explanation:

Assume: Triangle CDE is a right triangle and Angle D is a right angle. What is the length of the missing side? A) 26 . B) 25 . C) 24 . D) 23 .​

Answers

Answer:

Length of base DE = 24 units

Step-by-step explanation:

Given:

In given triangle, right angle at D

SO,

Perpendicular of given triangle = 32 unit

Hypotenuse of given triangle = 40 unit

Find:

Length of base DE

Computation:

Using Pythagoras theorem

Base = √Hypotenuse² - Perpendicular²

Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²

Length of base DE = √40² - 32²

Length of base DE = √1,600 - 1,024

Length of base DE = √576

Length of base DE = 24 units

5x - 2y = 15
2x + 4y = 12

Select the solution to the system from the options below:

Answers

Answer:

7/2, 5/4

Step-by-step explanation:

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

2x + 4y = 12

10x - 4y = 30

2x + 4y = 12                 (add)

-----------------

12x = 42

x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]

2x + 4y = 12         (subsitute)

2([tex]\frac{7}{2}[/tex]) + 4y = 12

7 + 4y = 12

4y = 5

y = [tex]\frac{5}{4}[/tex]

Can anyone help me out here !

Answers

Okay, so we’ll use sin in this case. You could use cos too, I just like sin. Sooo

sin(?) = 39/89
? = sin^-1(39/89) <— make sure you calculator is in degrees mode, not radians when doing this calculation!
? = 25.989° ≈ 26°

One half of 4

Plz help I need help

Answers

The answer is 2 lmk if this helps

prove that 1-cosA/sinA=cosecA-cotA​

Answers

Answer:

See the proof below

Step-by-step explanation:

prove that 1-cosA/sinA=cosecA-cotA​

Starting from RHS

cosecA-cotA​

From trig identty

cosec theta = 1/sintheta and cot theta = cos theta/sin theta

Hence;

cosecA-cotA​

= 1/sinA - cosA/sinA

FInd the LCM

= 1-cosA/sinA (LHS)

Instructions: Find the missing side lengths. Leave your answers
radicals in simplest form.
Please help, no links

Answers

Answer:

Im pretty sure the first one is [tex]4\sqrt{3}[/tex]

and the second is 4

What is the measure of angle x?

Enter your answer in the box.

Answers

Answer:

x = 48º

Step-by-step explanation:

x = 90 -42

x = 48º

Find the Area of the figure below, composed of a rectangle with a semicircle
removed from it. Round to the nearest tenths place.

Answers

Answer:

Area of the figure = 25.7 units²

Step-by-step explanation:

Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD

Area of the rectangle ABCD = Length × Width

                                               = BC × AB

                                               = 8 × 4

                                                = 32 units²

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Here, r = radius of the semicircle

r = [tex]\frac{\text{Diameter}}{2}[/tex]

r = [tex]\frac{1}{2}(CD)[/tex]

r = [tex]\frac{4}{2}[/tex]

r = 2 units

Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]

                                                       = 2π

                                                       = 6.28 units²

Area of the given figure = 32 - 6.28

                                         = 25.72 units²

                                         ≈ 25.7 units²

Thank you so much if you help me! Which equation can be used to find the area of a rectangle

Answers

Answer:

A

Step-by-step explanation:

to find the area of the rectangle you have to multiply length x width.

In this case that would be

(20) (9.2)

Which graph represents exponential decay?
80
80
80
180
80
60
60
40
60
40
20
90
40
20
20
20
2.
2
3
3
2 3
e

Answers

Answer:

d

Step-by-step explanation:

3. Calculate the value of x in the figure to the right: (2 Points)

Answers

Answer:

x = 12

Step-by-step explanation:

When two chords intersect each other inside a circle, the products of their segments are equal.

------------------

2x = 6 * 4

2x = 24

Divide both sides by 2

x = 12

RJ's teacher gave a pop quiz in math class yesterday. The scores on the quizzes ranged from 60% to 100%. What grade did most students earn on the pop quiz?

Answers

Answer:

Grade's of most student = 80% (Approx.)

Step-by-step explanation:

Given range:

Range of quiz = 60% to 100%

Find;

Grade's of most student

Computation:

⇒ Grade's of most student = Average grade

⇒ Average mean = Sum of observation / number of observation

⇒ Grade's of most student = [60 + 100] / 2

⇒ Grade's of most student = 160 / 2

Grade's of most student = 80% (Approx.)

(05.05 HC) Figure ABCD has vertices A(-4, 1), B(2, 1). C(2, -5), and D(-4, -3). What is the area of figure ABCD?

A:24
B:30
C:36
D:45​

Answers

Answer:

The answer is A

Step-by-step explanation:

I got it  right on the test.

Help !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12 is the answer thanks for asking in


Plz help me well mark brainliest if correct!!....ñ

Answers

B. A and C, they both have area of 48.

Answer:

Option B.

Step-by-step explanation:

Have a great day!

you don’t have to give Brainliest ;)

Can you pleaseee help me I beg u !


Answers

It’s C :)
I need to get to twenty characters so

Answer:

[tex]x < - 7[/tex]

the answer is option C

A class consists of 20 sophomores and 15 freshmen. The club needs to choose four different members to be president, vice president, secretary, and treasurer. In how many ways is this possible if sophomores will be chosen as president and treasurer and freshmen as vice president and secretary?
Please explain your answer instead of just providing the answer for the points!

Answers

Answer:

There are 79,800 ways in which this is possible.

Step-by-step explanation:

The order in which the students are chosen is important(due to different roles), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

2 sophomores from a set of 20.

2 freshmen from a set of 15. So

[tex]P_{20,2}*P_{15,2} = \frac{20!}{18!}*\frac{15!}{13!} = 20*19*15*14 = 79800[/tex]

There are 79,800 ways in which this is possible.

If 50 students were surveyed about their after-school sports, how many students play soccer?

Answers

Answer:

15

Step-by-step explanation:

30% is equal to 0.3 as a proportion

Multiply 50 by 0.3 to get the number of students who play soccer.

50 X 0.3 = 15

Answer:

15

Step-by-step explanation:

football and track =50% =25 students

20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer

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