Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3). 9 square units 18 square units 18.5 square units 21 square units

Answers

Answer 1

9514 1404 393

Answer:

  18 square units

Step-by-step explanation:

Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...

  AB = 6√2

  CD =3√2

The area is half the product of the base (AB) and height (CD) so is ...

  A = 1/2bh = (1/2)(6√2)(3√2) = 18

The area of ΔABC is 18 square units.

_____

Additional comment

It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...

  c² = a² +b²

  c = 1² +1² = 2

  c = √2

Calculate The Area Of Triangle ABC With Altitude CD, Given A(7, 1), B(1, 5), C(0, 0), And D(3, 3). 9
Answer 2

Answer:

B: 18 square units

Step-by-step explanation:

I'm taking the exam


Related Questions

Cities are on sale for five each Jennifer has 45 and wants to buy as many as she can how many CDs can Jennifer buy

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Answer:

9 cd's

Step-by-step explanation:


[tex]y - 2x = 7[/tex]
how do i solve this?​

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what is the question looking for? X or y?

A truck driver has a route that takes him 125 miles each way each day that he works. If he makes 15 roundtrips on this route per month, how many miles does he drive the truck per month?

Answers

Answer: 3,750 miles

Step-by-step explanation:

Route takes him 125 miles each way so in a day he travels:

= 125 + 125

= 250 miles

He made 15 roundtrips so total miles is:

= 15 * 250

= 3,750 miles

A plane took 3 h 33 min to finish a journey. If the distance of the journey was 2840 miles, at what average speed did the plane travel?

Answers

Answer:

800mph

Step-by-step explanation:

Step one

Given data

time taken= 3 h 33 min

= 3.55 hours

distance = 2840 miles

Step two:

from speed= distance/time

substitute

speed= 2840/3.55

speed= 800mph

Hence the speed is 800mph

a bag contains 3 red sweets and 5 green sweets. Tim takes a sweet at random and eats it. he then takes another sweet. what is the probability that Tim takes 2 red sweets

Answers

Answer:25% chance

Step-by-step explanation:

easy

i need help for math. if someone could explain each of these it would help!

Answers

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What is the slope of the line?

Answers

Do rise over run and you should end up with 4 and 3 hope that help

⚠️⚠️use the parallel lines that were given to find the answers ⚠️⚠️
!!!!hurry!!!!
~ILL GIVE 15 BRAINLY~

Answers

Answer:

18. 56

19. 132

20. 55

21. 120

22. 129.5

23. 61.3

Step-by-step explanation:

First look at the lines arrangment

angle 1+angle 5=180 and according to corresponing angles theorem angle 5 and angle 2 are equivalent. Angle 1+4=180

180-124=56

Angle 2+3=180

180-48=132

According to corresponding angles

angle 4=angle 7 and angle 7=angle 2 meaning angle 4=5

so angle 5=2

Like everything opposite to each other is conr=gruent

angle 8=angle 1 and angle 1=angle 6

means both angle 6 and 8 are congruent.

LOOK angle 7+3=180 means angle 2+6=180

so if ANGLE 7=50.5

6=3

180-50.5=129.5

23. angle 6 and 3 are congruent and as you know angle 7+3=180 and angle 2+6=180

angle 3+angle 6=180

180-118.7=61.3

18. Measure of angle 1=124 then angle 4=56

19.Angle 2= 48 then angle 3=132

20.Angle 4=55 then angle 2=55

21. angle 6=120 then angle 8=120

22.angle 7=50.5 then angle 6=129.5

23.angle 3=118.7 then angle 2=61.3

Hope this helps!!

It's mostly corresponding angles and theorems rules.

A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. How far did the car travel in 5 minutes?

Answers

Answer:

3.75 as a decimal

Step-by-step explanation:

LAST ONE I-I-I PROMISE >

Answers

Answer:

Step-by-step explanation:

Putting value of z = 3

6(3)2+ 2(3) + 10

6(9) + 6 + 10

54 + 16

70

Last Tuesday was silly hat day at Wesley's school. 33 students wore a silly hat and 517 students did not. What percentage of the students wore a silly hat?

Answers

Answer: 6%

Step-by-step explanation:

Number of students that wore a silly hat = 33

Number of students that students that did not = 517

Total number of students = 33 + 517 = 550

The percentage of the students that wore a silly hat

= 33/550 × 100

= 6%

Excuse me but can someone help me with this I have to do it before tomorrow

Answers

Answer:

8)  Onaje is correct

9a) answers could be:  3(6y) or 4y + 6y + 8y  or 2(2y + 3y + 4y)

 b) all answers simplify to be 18y

Step-by-step explanation:

Paula is not correct because 16t + 9t ≠ 16 + 9 + 2t

16t + 9t only equals 25t

Answer:

8. Onaje's expression is correct.

Step-by-step explanation:

The price, t, of the medium T-shirts can be represented as 16t, or 16 × t.

The price, t, of the large T-shirts can be represented as 9t, or 9 × t.

16t + 9t = (16 + 9) × t = 25t

Answer:

9. Part a: The expression could be 9y - 3y + 12y.

9. Part b: 9y - 3y = 6y

               6y + 12y = 18y

A salesperson earns $450 per week plus 15% of her weekly sales. The
expression representing her earnings is 450 +0.15x. Which of the following
describes the sales necessary for the salesperson to earn at least $600 in
one week?

Answers

Answer:

If a sales person wants to earn $600 in 1 week they have to make $1000 dollar sale or a bunch of sales that can make $1000

Step-by-step explanation:

Because $600 - $450 gives you $150, and $150 is 15% of her sales to if we were to divide $150 by 0.15 ( 15% in decimal for ) we would get $1000 meaning 15% of 1000 is 150.

Hope this helps :)

find the value of sin 0 in each of the following figures.​

Answers

Answer:

[tex]\displaystyle \sin\theta=\frac{4}{5}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, we identify an adjacent leg and an opposite leg. The trigonometric ratios are defined upon those sides.

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Let's focus on the angle θ. Its opposite leg is 8 cm and the hypotenuse is 10 cm, thus:

[tex]\displaystyle \sin\theta=\frac{8}{10}[/tex]

Simplifying:

[tex]\boxed{\displaystyle \sin\theta=\frac{4}{5}}[/tex]

The radius of a circle is 1 foot. What is the area of a sector bounded by a 90 degree arc?

Answers

Answer:

The answer is 11/14 ft^2 or pi/4 ft^2

Step-by-step explanation:

The area of the sector bounded by that angle measure will be the area of the circle divided by 4

Area of the circle is;

pi * r^2

so the area here is;

22/7 * 1 * 1 = 22/7

divide this by 4

= 22/28 = 11/14 ft^2

6·(10-x)
helppp plssss

Answers

Answer:

6(10-x)

60-6x

Step-by-step explanation:

prove me wrong

if a tables f(x) is being divided by 3, what is the common ratio

Answers

1/3 is the correct answer

4 - y over 5 = 2 - 2y over 8
I’m just really tired lol (and lazy)

Answers

Answer:

40 if i did the equation right and ignore this wiehdnsjw

Answer:

egg egg egg egg egg

Step-by-step explanation:

1+1=1972-1=egg

At cycle and sport custormers can rent bikes electric

Answers

Answer:

I need a liitle bit more information

Step-by-step explanation:

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!

A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units

Answers

Answer:

A

Step-by-step explanation:

Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values

[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )

20(15 + x) = 420 ( divide both sides by 20 )

15 + x = 21 ( subtract 15 from both sides )

x = 6

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Answers

Answer:

7. [tex]r^{19}[/tex]

Step-by-step explanation:

r^11 x r^8 =

r^11 + 8=

2^19

R^19 is the answer to your question

If Jared wanted to buy a t-shirt, how much would it cost him if he also had to pay a seven percent sales tax?

Answers

Answer:

it depends how much the shirt is too.

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Answers

Answer:

7x+18

Step-by-step explanation:

Multiplay the numbers by for and five and solve

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Answers

Answer:

5

Step-by-step explanation:

3 1/8 : 8 x 3=25 new fraction

25/8 x 8/5 you have to do kcf Keep Change Flip

and then multiply

8x5=40 25x8=200 simply by 40

5/1= 5 hope it helped im not the best :)  

PLEASE HELP ME I'M BEHIND ON MY MATH AND I CAN'T FIND ANY ANSWERS!!! :(


Two banks offer to loan you money for a big purchase. How would you use your knowledge of simple interest to determine which loan to choose for this purchase?


(20 points)

(Written Response)

( E d g e n u i t y 2021)

(Mathematics 7 A)

(Journal Activity JAN 05.)


** Please answer to this if you did it already did this assignment already..! I'm behind on my math and I can't find any thing to help me out! **

Answers

Answer:

you would see which bank has a good business and have loyal customers and which one is giving you a better offer

Step-by-step explanation:

HOPE THIS HELPED!

Answer:

e.

Step-by-step explanation:

Rewrite the expression in the form 3".
3.3.3.3.3.3
3.3.3.3

Answers

Answer:

3^6

3^4

Step-by-step explanation:

3.3.3.3.3.3=3^6

3.3.3.3.= 3^4

Simplify the following:
A) 4^9 x 4^3

B) 6^5x 6^2

C) 8^6 divide by 8

d) 7^8 divide by 7^6

Answers

Answer:

A. 4^12

B.6^7

C.8^7

D.7^2

A) 4^12 (because when u multiply two same numbers with different power, powers are added to each other and number is staying the same— a^b•a^c=a^b+c)

B) 6^7

C) 8^5 (because a^b:a^c=a^b-c, and since 8 is the same as 8^1, 8^6:8=8^5)

D) 7^2

Can I get some help plz thank u sm

Answers

Answer:

x = 72

hope it helps

Wendy bought a drill at a 10%-off sale. The same price was $75.60. Find the original price p

Answers

Answer:

best deals for children with the highest number of school meals for Englis were found in colorfit and it was Dawes who was Dawes in the ab of the year and the first of the first three years of the year was Dawes and the first of the year was the first of the year was the first of the year was the first of three books to de mark a year of any of any kind and a great achievement for English and it is not

A hospital employs a total of 77 nurses and doctors. The ration if nurses to doctors is 9:2. How many nurses are employed at the hospital? How many doctors are employed at the hospital?

Answers

Answer: 63 nurses and 14 doctors

so you know the ratio is 9:2. that means for every 9 nurses there are 2 doctors. i didn't make an equation but i counted it.

if theres 9 (9*1) nurses theres 2 (2*1) doctors

if theres 18 (9*2) nurses theres 4 (2*2) doctors

if theres 27 (9*3) nurses theres 6 (2*3) doctors

you get the point so i multiplied 7 to 9 and 7 to 2, which means:

if theres 63 (9*7) nurses theres 14 (2*7) doctors

i hope this helps :)

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