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Paladinen [302]
3 years ago
5

Find the area of the shaded triangle

Mathematics
2 answers:
erica [24]3 years ago
5 0
Using the formula a = bxh/2 you would need to calculate and put in the base times height. whatever that is you divide by 2, which would get the area to be... 891
ratelena [41]3 years ago
3 0
I/2 base times height
891
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Consider the vectors Bold uuequals=left angle 4 comma 0 right angle4,0 and Bold vvequals=left angle negative 3 comma negative 3
saw5 [17]

Answer:

Angle between the two vectors is 135°

u•v = -12

Step-by-step explanation:

Given two vectors u = (4,0) and v = (-3,-3).

To find the angle between the two vectors we will use the formula for calculating the angle between two vectors as shown;

u•v = |u||v|cos theta

cos theta = u•v/|u||v|

theta = arccos  (u•v/|u||v|)

u•v = (4,0)•(-3,-3)

u•v = 4(-3)+0(-3)

u•v = -12

For |u| and |v|

|u| = √4²+0²

|u| = √16 = 4

|v| = √(-3)²+(-3)²

|v| = √9+9

|v| = √18

|v| = 3√2

|u||v| = 4×3√2 = 12√2

theta = arccos(-12/12√2)

theta = arccos(- 1/√2)

theta = -45°

Since cos is negative in the second quadrant, theta = 180-45°

theta = 135°

To get u•v using the formula u•v = |u||v|cos theta

Given |u||v| = 12√2 and theta = 135°

u•v = 12√2cos 135°

u•v = 12√2× -1/√2

u•v = -12√2/√2

u•v = -12

For the diagram of the vectors, find it in the attachment below.

4 0
3 years ago
Read 2 more answers
Describe the transformation from the parent function to the function g(x)=2 times 3^x-4
azamat

Answer:

Step-by-step explanation:

The parent function of g(x) = 2*3^x-4 would be 3^x

The transformation would include: shifting parent function 4 units down (-4) and compressing the function (2)

The movement (shifting) of the graph is caused by the y-intercept. If the y-intercept is positive, the graph moves up and vice versa.

The coefficient which is multiplied determines whether the function is compressed (squeezed) or stretched. If the coefficient is less than 1, then the function is stretched. If the coefficient is greater than 1, then the function is compressed.

6 0
3 years ago
"how many four​-digit odd numbers are possible if the leftmost digit cannot be​ zero"
Oxana [17]
1123 will be a good answer
3 0
2 years ago
Hey hey hey. help pls
Firdavs [7]

Answer:

Emma spend 8 hours in homework in a week and Jared  spends 16 hours in homework in 2 weeks.

Step-by-step explanation:

Two quantities P and Q are said to be in PROPORTION if and only if for all values of P and q, we get:

\frac{P}{Q}  = k

Here, k : PROPORTIONALITY CONSTANT

Case: 1

5 hour piano practice in 1 week.

So, the piano practice in 2 weeks( 1 x 2) =   2 x  5 = 10 hours

But here, it is given to be 12 hours in 2 weeks.

Hence, NOT PROPORTIONAL.

Case 2:

70 words in 60 seconds.

So, the words typed in 210 seconds ( 60 x 3.5) =   70  x  3.5 = 240 words

But here, it is given to be 280 words in 210 seconds.

Hence, NOT PROPORTIONAL.

Case: 3

8 hour homework in 1 week.

So, the homework done in 2 weeks( 1 x 2) =   2 x 8 = 16 hours

It is given to be 16 hours in 2 weeks.

Hence,  PROPORTIONAL.

Case: 4

15 miles  in 78 minutes.

So, the distance covered in 102 minutes (78 x 1.3) =  15 x 1.3 = 19.6 miles

But here, it is given to be 17 miles in 102 minutes.

Hence, NOT PROPORTIONAL.

Case: 5

18 miles  in 45 minutes.

So, the distance covered in 55 minutes (45 x 1.2) =  18 x 1.2  = 21.6 miles

But here, it is given to be 22 miles in 55 minutes.

Hence, NOT PROPORTIONAL.

Hence, the only proportional case is Emma spend 8 hours in homework in a  week and Jared  spends 16 hours in homework in 2 weeks.

6 0
3 years ago
Read 2 more answers
The angle measurement in the diagram are represented by the following expressions.
8_murik_8 [283]

Answer:

x = 9 and ∠ B = 40°

Step-by-step explanation:

See the diagram given with the question first.

Here we have ∠ A = ∠ B {They are corresponding angles}

Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13

Hence, 5x - 5 = 3x + 13

⇒ 2x = 18

⇒ x = 9

Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)

5 0
3 years ago
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