1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stiv31 [10]
2 years ago
13

Find the Area of Triangles when lengths of the sides are given below.

Mathematics
2 answers:
ss7ja [257]2 years ago
6 0

Step-by-step explanation:

you should detect which one in the hypothenus!!

Naily [24]2 years ago
5 0

Answer:

84 cm²  and 272 cm² (3 sf)

Step-by-step explanation:

Use Heron's formula.

Area = \sqrt{p(p-a)(p-b)(p-c)}

where a, b, and c are the lengths of the sides of the triangle

and p=\frac{a+b+c}{2}

(i)   p=\frac{13+14+15}{2}=21

Area = \sqrt{21(21-13)(21-14)(21-15)} = 84 cm²

(ii)   p=\frac{103+115+13}{2}=115.5

Area = \sqrt{115.5(115.5-103)(115.5-115)(115.5-13)} = \frac{ \sqrt{1183875}}{4} =272 cm² (3 sf)

You might be interested in
Find the value of k for x^2 - 2kx+7k -12=0 so that they have two equal roots
Alisiya [41]

Step-by-step explanation:

x^2 -2kx +7k -12 = 0

two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0

so k =3 and k =4

5 0
3 years ago
Write the equation of each line using the given information.
Marat540 [252]

A. The equation of the line is y = -0.2 x + 1.9

B. The equation of the line is y = 4 x + 3

C. The equation of the line is y = -8

D. The equation of the line is y = 2 x + 4

Step-by-step explanation:

The slope-intercept form of the equation of a line is y = m x + b, where

m is the slope of the line and b is the y-intercept

  • The formula of the slope of a line which passes through points (x_{1},y_{1}) and (x_{2},y_{2}) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • The slope of a horizontal line whose equation y = b is zero
  • The y-intercept means the line intersect the y-axis at point (0 , b)

A.

∵ The line passes through points (2 , 1.5) and (-5 , 36.5)

∴ x_{1} = 2 and x_{2} = -5

∴ y_{1} = 1.5 and y_{2} = 36.5

∵ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∴ m=\frac{-5-2}{36.5-1.5}=\frac{-7}{35}=\frac{-1}{5}

∴ m = -0.2

∵ y = m x + b

∵ m = -0.2

∴ y = -0.2 x + b

- To find b substitute x and y in the equation by the coordinates of

  one of the two given points

∵ x = 2 and y = 1.5

∴ 1.5 = -0.2(2) + b

∴ 1.5 = - 0.4 + b

- Add 0.4 to both sides

∴ 1.9 = b

∴ y = -0.2 x + 1.9

The equation of the line is  y = -0.2 x + 1.9

B.

∵ m = 4

∵ y = m x + b

∴ y = 4 x + b

∵ Point (3 , 15) lies on the line

- To find b substitute x and y in the equation by the coordinates

  of the given point

∵ x = 3 and y = 15

∴ 15 = 4(3) + b

∴ 15 = 12 + b

- Subtract 12 from both sides

∴ 3 = b

∴ y = 4 x + 3

The equation of the line is y = 4 x + 3

C.

∵ The line has the same slope of line y = 1

- The line whose equation y = 1 is a horizontal line

∵ The slope of the line y = 1 is zero because it is a horizontal line

∴ m = zero

∵ y = m x + b

∴ The equation of the line is y = (0)x + b

∴ y = b

∵ The line passes through point (3 , -8)

- In the horizontal line the y-coordinates of all point lie on the line

  are equal

∴ The line intersect the y-axis at point (0 , -8)

∴ b = -8

∴ y = -8

The equation of the line is y = -8

D.

∵ m = 2

∵ y-intercept is at point (0 , 4)

∴ b = 4

∵ y = m x + b

∴ y = 2 x + 4

The equation of the line is y = 2 x + 4

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

6 0
3 years ago
Which transformation will map figure Honto figure H? (1 point)
podryga [215]

Answer:

2) Vertical translation of 10 units

Step-by-step explanation:

Given

H and H'

Required

Which maps H to H'

First, we pick the coordinate of any point on H

H(x,y) = (4,2)

First, we pick a corresponding coordinate on H'

H'(x,y) = (4,-8)

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.

By looking at the coordinates of H and H, we have:

H: x = 2 and H':x = 2 ---  The same x coordinates

H: y = 2 and H': y = -8 --- Different y coordinates

The difference between the y coordinates is:

Difference  = H(x) - H'(x)

Difference  = H(2) - H'(2)

Difference  = 2 - (-8)

Difference  = 2 +8

Difference  = 10

Hence,

<em>2) Vertical translation of 10 units </em> is correct.

3 0
3 years ago
It would be awesome for some help! :3 Johnny Uses a wheelbarrow to move planting soil to a delivery truck. The volume of plantin
EleoNora [17]
We are given with
dimensions of wheelbarrow = 2ft x 3ft x 1.5 ft
dimensions of truck = 11 ft x 8 ft x 6 ft

The volume of the wheelbarrow is 2(3)(1.5) = 9 ft3
The volume of the truck is 11(8)(6) = 528 ft3
70% of this is
528 ft3 (0.7) = 369.6 ft3
Dividing this by the volume of the wheelbarrow
369.6 ft3 / 9 ft3 = 41.07
He would need to use the wheelbarrow 42 times.
7 0
3 years ago
5 times 3/4 in a mixed number
Arte-miy333 [17]
5 x 3/4 = 15/4 

15/4 = 3 3/4
6 0
3 years ago
Other questions:
  • Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did Sean answer correctly?
    10·2 answers
  • Morgansville and newton are 2 miles apart. On map, the two cities are 7 inches apart. What is the map scale
    10·1 answer
  • PLS NEED HELP NEED DONE IN 10 MIN.
    11·1 answer
  • Shira’s Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. How many shoes did the com
    5·2 answers
  • Please help me i am struggling with this, i will be giving brainliest and 20 points
    11·2 answers
  • 7+
    6·1 answer
  • The number of students, s, in class is fewer than 10.
    9·1 answer
  • The water level of a creek has risen 4 inches above its
    7·2 answers
  • Need help for this please
    13·1 answer
  • Solve for x: √x + 3-4=7
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!