On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1) If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle? 0. 625 units 0. 8 units 1. 25 units 1. 6 units.

Answers

Answer 1

The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

[tex]A=\frac{1}{2} bh[/tex]

b is the base of the triangleh is the height of the triangle

Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units[/tex]

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

[tex]A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\[/tex]

Substituting the coordinate points:

[tex]A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2[/tex]

Recall that:

[tex]A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units[/tex]

Hence the corresponding height of the triangle is 1.6 units

Learn more on area of triangles here: https://brainly.com/question/17335144


Related Questions

HELLLLLLLLLLLLLPPPPPPPPPP

Answers

The first option. 100% correct.

[tex]a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......[/tex]

Find the equation of the tangent to the circle, whose equation is given below, at the point (-4,2).
(x+2)^2+(y−3)^2=5

Answers

The equation of the tangent is y = –2x – 6

The step by step process is in the pic attached.

The top part was cropped out, it says the centre point is (–2,3)

A basketball player makes 75% of her free throws. If she made 84 free throws this season, how many has she attempted?

A. 112
B. 105
C. 63
D. 168

Answers

Answer:

A

Step-by-step explanation:

84 / 0.75 = 112

112 x 0.75 = 84

Answer:

Its A

Step-by-step explanation:

Which statement is not used to prove that triangle ABC is similar to triangle ADC?

Answers

Answer:

what are the statements we pick from?

Step-by-step explanation:

most likely look out for angles and lengths that go against the established ratio

make r the subject of the formula

Answers

Answer:

r=[tex]\frac{3t}{t-1}[/tex]

Step-by-step explanation:

t(r-3)=r

tr-3t=r

tr-r=3t

r(t-1)=3t

r=[tex]\frac{3t}{t-1}[/tex]

Will give brainliest i rlly need help

Answers

Answer:

1/6

Step-by-step explanation:

-3/4 - (-1/2) = - 1/4

-2/3 - 5/6 = - 3/2

-1/4 ÷ -3/2

what is 25% off $27

Answers

Answer:

6.75 $

Step-by-step explanation:

25%

= 25 / 100

= 1 / 4

25% of $ 27

= ( 1 / 4 ) x ( 27 )

= ( 1 x 27 ) / 4

= 27 / 4

= 6.75 $

Answer:

$20.25

Step-by-step explanation:

Find the volume of the box
Use the formula V = lwh

3x - 2, 2x + 1, x + 1

A. 6x^3 + x - 2

B. 6x^3 + 5x^2 - 3x - 2

C. 6x^3 - 2

D. 6x^3 - 13x^2 - 3x - 2

Answers

answer is B. detrjrajaetkterjaejq

lois made a dish with 6 1/3 cups of pasta . One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lous made?

Answers

Answer:

33 2/3

Step-by-step explanation:

First you would change 0.2 to a fraction. This would be 1/5. You would then have to make these two have a common denominator. 6 1/3 would also become an improper fraction for visual sake.. The lowest common denominator they share is 15. I've drawn the process in the image above.

So now we have 95/15 and 3/15. From here, we would divide 95 by 3.

95 ÷ 3 = 31 10/15

This would give us 31 and 10/15 servings of pasta in the bowl. If we're talking about full servings, 31 would be the correct number, but if we're talking exact, then it is 31 2/3.

CAN SOMEBODY PLEASE HELP ME

Answers

Answer:

x and y are both equal to 57.5°

Step-by-step explanation:

180° - 65° = 115°

115 ÷ 2 = 57.5

This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer

Answers

The length of the sides of the square labelled x is b. 6.0 m.

Recall:

The formula for the area of a square with equal side, s, is given as s².

Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.

Area = Total area of the garden - 64 sq. m

Area = (10 × 10) - 64

Area = 36 sq. m.

Area of square = s²

Lex x = s

Therefore:

x² = 36

Take the square root of both sides

x = 6 m

Therefore, the length of the sides of the square labelled x is b. 6.0 m.

Learn more about area of a square on:

https://brainly.com/question/16758129

This is my question pls help!!!

Answers

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Show Work:

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]

[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]

[tex]20 {e}^{9} {f}^{11} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Write 90 as a product of primes. Use index notation when giving your answer.​

Answers

Answer:

90 =3 × 3 × 5 × 2.

Step-by-step explanation:

............

90/2= 45
45/3= 15
15/3=5
5/5=1

90= 2*3*3*5 = 2*3 (raised to the power of 2) *5

angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.​

Answers

Complementary angles have a submission of 90 degrees thus :

[tex]angle \: \: A + angle \: \: B = 90°[/tex]

[tex](4x - 28)° + (4x - 8)° = 90°[/tex]

[tex]4x + 4x - 28 - 8 = 90[/tex]

Collect like terms

[tex]8x - 36 = 90[/tex]

Add both sides 36

[tex]8x - 36 + 36 = 90 + 36[/tex]

[tex]8x = 126[/tex]

Divide both sides by 8

[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]

[tex]x = 15.75[/tex]

_____________________________________________

Now let's find the measure of A :

[tex]A = 4x - 28[/tex]

[tex]A = 4 \times (15.75) - 28[/tex]

[tex]A = 63 - 28[/tex]

[tex]A = 35°[/tex]

And we're done...

Don't have a good day , Have a great day ♡

please helppp !

whats the measure of angle 1

Answers

Answer:

1 = 70

Step-by-step explanation:

The triangle is an isosceles.

Subtract the angle 40 from 180 (all angles in a triangle add up to 180

The bottom two angles are the same, so dividing the number given by 180 - 40 by 2

180 - 40 = 140

140 / 2 = 70

answer:70
explanation: because all three angles have to add up to 180 and since they gave us 40 we can easily take 40 from 180. 180-40=140 and now we have 140 left and since there’s two angle left you divide by 2, 140/2 and we would get 70

solve for x -22=-7+3/5x

Answers

X-22=-7+3/5x
Answer x= 75/2
Explanation:

X-22=-7+3/5x multiply both sides of the equation my 5
5x-110= -35+3x

Move the variable to the left-hand side and change its sign
5x-110-3x= -35

Move the constant to the right-hand side and change its sign
5x-3x= -35+110

Collect like terms
2x= -35+110

Calculate the sum
2x=75

Divide both sides of the equation by 2
x=75/2

Answer x=75/2

A. In a complete sentence, describe the angle relationship in the diagram. B. Find the value of x

Answers

Answer:

  x = 30

Step-by-step explanation:

a) The sum of the angles along the line is 180°. That means ...

   2x° +90° +x° = 180°

__

b) Subtracting 90° and dividing by 3° gives ...

  3x° = 90°

  x = 30

Answer:

a) supplamentary angles b) X= 30

Step-by-step explanation:

A) Equal to 180 b) 90 divided by 3 gives you 30

an equilateral triangle with the perimeter of 90cm, what is the length of its side?

Answers

Answer:

The length of its side is 30 cm

Step-by-step explanation:

Given:

An equilateral triangle with the perimeter of 90cm.

In a Equilateral Triangle all sides are equal

i.e., all 3 sides are equal

Now,

90/3 = 30 cm

Thus, The length of its side is 30 cm

-TheUnknownScientist 72

Question:-

an equilateral triangle with the perimeter of 90cm, what is the length of its side?

Answer:-

30cm

Explanation:-

Given,

Perimeter of the equilateral triangle = 90cm

We know that,

All three sides of an equilateral triangle are equal.

So,

90/3 = 30cm

The length of the side is 30cm.

Find the surface area of the rectangular prism. 7 m 4 m 5m

Answers

Answer:

A = 2 (wl+hl+hw)=2·(4.7+5·7+5·4)=166

Answer: A=2(wl+hl+hw)=2·(4·7+5·7+5·4)=166

Step-by-step explanation:

|-13| = I do not get how I solve this equation could you please help me

Answers

Answer:

13

Step-by-step explanation:

whenever you take the absolute value of something it changes from negative to positive

|-13| is 13, its just how far away it is from zero

Daniel purchased a 1 year CD, c, from a bank. He bought it at an annual interest rate of 6%. After 1 year, Daniel cashes in the CD. What is the total amount it it worth?

Answers

Step-by-step explanation:

if I understand correctly, then he bought a CD with a balance of c and an annual interest rate of 6%.

now, after this one year the CD is worth (the account balance is) c + 6% = 100% + 6% = 106% = 1.06×c

x*y=xy+2y find 4*[1*-5]

Answers

Answer:

- 90

Step-by-step explanation:

Evaluate 1*- 5 then the outer one

1*- 5 ( with x = 1 and y = - 5 )

= 1(- 5) + 2(- 5)

= - 5 - 10

= - 15

Then

4*- 15 ( with x = 4 and y = - 15 )

= 4(- 15) + 2(- 15)

= - 60 - 30

= - 90

Scale: 2inches = 1 ft
1.)Jenna's father is going to use the blueprint above to make a playhouse for her. The length of the entire first floor is 12 inches. What is the actual length?
2.)The width of the entire first floor it is 8 inches. What is the actual width?
3.)What scale factor did Jenna's father use to go from the drawing to the actual house?
4.)What is the perimeter of the first that floor Jenna's that father built?
5.) What is the area of the first floor that Jenna's that father built?

Answers

The actual lenght will be 6 fee

The actual width will be 4 feet

The scale factor that Jenna's father used to go from the drawing to the actual house is 1.5

The perimeter of the floor is 20 feet

The area of the first floor that Jenna's that father built is 24ft²

Given the conversion factor 2inches = 1feet

1) If Jenna's father is going to use the blueprint above to make a playhouse for her and the length of the entire first floor is 12 inches, the actual length in feet is expressed as:

12 inches = x

2inches = 1feet

_____________________________

2x = 12

x = 6 feet

Hence the actual lenght will be 6 feet

2) If the width of the entire first floor is 8 inches, the actual width is expressed as;

8 inches = x

2inches = 1feet

_____________________________

2x = 8

x = 4 feet

Hence the actual width will be 4 feet

3) Thee scale factor will be the ratio of the length to the width as shown:

Ratio = length/width

Ratio = 6/4

Ratio = 3/2

Hence the scale factor that Jenna's father used to go from the drawing to the actual house is 1.5

4) The perimeter of the floor = 2(L + W)

Perimeter = 2(6 + 4)

Perimeter = 2(10)

Perimeter of the floor is 20 feet

5) Area of the floor = length * width

Area of the floor = 6ft * 4ft

Area of the floow = 24ft²

Hence the area of the first floor that Jenna's that father built is 24ft²

Learn more on area and perimeter of rectangle here:https://brainly.com/question/19819849

What percent is equivalent to 24/50?


24%

48%

50%

52%

Answers

Answer:

48%

Step-by-step explanation:

24 is almost 25 which is half of 50 you it would be 48%, hope this helps!:)

(sin^2(0)) I really need help with this asap

Answers

Answer:

Asapa

[tex] (sin2(0) [/tex]

question y+5/y+6=5/4
pleas answere this question it is really hard for me I will be thankfull

Answers

Refer to the attachment.

=》y = -10

_____

Hope it helps ⚜

Need help with this thank u

Answers

Answer:

Add 1 multiply by two

Step-by-step explanation:

As you see when 0 goes to 1, 9 goes to 18 so it is add 1 multiply by two.

Answer:

y=9x+9

Step-by-step explanation:

y=mx+c

You can use any of the 2 points

pnt1. (1;18)

pnt2. (3;36)

find the gradient

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{36 - 18}{3 - 1} [/tex]

[tex]m = \frac{18}{2} [/tex]

[tex]m = 9[/tex]

substitute one point and gradient to find c

y=mx+c

18=9(1)+c

18=9+c

c=18-9

c=9

therefore the equation is y=9x+9

ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.

Answers

Answer:

=32

Step-by-step explanation:

the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)

The sum of a number and negative three, multiplied by the number? ​

Answers

Answer:

x² - 3

This expression is not linear

Step-by-step explanation:

Let x = unknown number

The sum of a number and negative 3

Sum = addition

We are adding the unknown number "x" and -3

So we have x + (-3) or just x - 3

The sum of that is multiplied by the unknown number

So we get ( x - 3 ) x

We can then simplify this expression to get  x² - 3x

Any expression with an exponent is not linear. Refer to the attached image for more validation. A linear expression would create a straight line. The expression x² - 3x creates a curved line

Find the surface area of a sphere with a diameter of 10 centimeters.
a. 1,256.6 cm3
b. 104.7 cm3
c. 314.2 cm3
d. 209 cm3

Answers

ANSWER: c. 314.2 cm3
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