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3 years ago

What is the area of this triangle?

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

The formula of an area of a triangle:

$A=\dfrac{1}{2}bh$

b - base

h - height

Look at the picture.

The formula of a distance between two points on a vertical line:

$d_v=(y_2-y_1)$

The formual of a distance between two points on a horizontal line:

$d_h=(x_2-x_1)$

Calculate the lengths of b and h:

$b=(y_2-y_1)\\\\h=(x_3-x_1)$

Substiute to the formula of an area:

$A=\dfrac{1}{2}(y_2-y_1)(x_3-x_1)$

Lena [83]3 years ago

3 0

Check the picture below.

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Find tenth term of the sequence (1,1,2,3,5,8,13)

garri49 [273]

This is what we call a Fibonacci sequence:

Notice that after the 1,1:

4th term =3 ==> 2+1

5th term =5 ==>3+2

6th term =8==> 5+3

7th term = 13==> 8+5

8th term =...........13+8 =21

9th term = ...........21+13 =34

10t=h term =........34+21 = 55

In short each number equal the sum of the 2 preceding number

7 0

4 years ago

At a sale on winter clothing, Cody bought four pairs of gloves and four hats for $36.00. Tori bought three pairs of gloves and f

iren [92.7K]

Answer:

gloves cost $5

hats cost $4

Step-by-step explanation:

four pairs of gloves and four hats for $36.00

4g + 4h = 36

three pairs of gloves and four hats for $31.00

3g + 4h = 31

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

Subtract the second equation from the first

4g + 4h = 36

-( 3g + 4h = 31 )

––––––––––––

g = 5

gloves cost $5

substitute for g = 5 into either equation

4(5) + 4h = 36

20 + 4h = 36

Subtract 20 from both sides

4h = 16

Divide both sides by 4

h = 4

hats cost $4

4 0

3 years ago

MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!

Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

$x+y=79$ and $1.65x+1.36y=118.17$

Part c) $x=37,y=42$

Part d) The value of y represent the number of boxes of juice that were sold $y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold $x=37\ packages\ of\ Twinkies$

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

$x+y=79$ ------> equation A

$1.65x+1.36y=118.17$ ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

$-1.65(x+y)=-1.65*79$

$-1.65x-1.65y=-130.35$ ------> equation C

Adds equation C and equation B

$-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42$

Find the value of x

$x+y=79$

$x+42=79$

$x=79-42=37$

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

$y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold

$x=37\ packages\ of\ Twinkies$

7 0

4 years ago

Which statement best completes the diagram showing the referendum process at the state level

gtnhenbr [62]

Would be C as he talkes of the law at the last step as something people could accept or deny it

3 0

3 years ago

Read 2 more answers

What is the surface area of the figure shown? Need this quick will mark brainliest

ad-work [718]

Answer:

384 cm squared

Step-by-step explanation:

CUBE:

Bottom: 36

Showing side: 36

Non-showing side: 36

Back: 36

Front: 36

Total: 180

TRIANGLE:

Front: 42

Back: 42

Left: 42

Right: 42

Bottom: 36

Total: 204

BOTH:

384 cm squared

6 0

4 years ago

What is the area of this triangle? ​

What is the area of this triangle?