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2 years ago

For the points A(3,0), B(5, 2) and C(7,-2), calculate the angle BAC

Mathematics

2 answers:

steposvetlana [31]2 years ago

8 0

Answer:

it is around 71.5

BYgraphing them and frocing right triabgles with point b and a and point c and a we can use law of sines and add the two values for angle BAC (or A)

Step-by-step explanation:

MaRussiya [10]2 years ago

6 0

Answer:

71.57

Step-by-step explanation:

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The perimeter of a rectangle is 28.8 centimeters. The length of the rectangle is twice as long as it’s with. Find the length and

Mazyrski [523]

Answer:

$Length=9.6 cm\\\\Width=4.8 cm$

Step-by-step explanation:

Length=2*Width

L=2*W

Perimeter=28.8 cm

Perimeter of a rectangle= 2(Length+Width)

$28.8=2(2W+W)\\\\28.8=2(3W)\\\\3W=28.8/2\\\\3W=14.4\\\\W=14.4/3\\\\W=4.8 cm\\\\$

$Length=2*Width\\\\=2*4.8\\\\=9.6 cm\\\\$

$Length=9.6 cm\\\\Width=4.8 cm$

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2 years ago

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What is 2 x 24/4 (24/4 is a fraction) pls help I will mark brainliest and say thanks AND rate five stars with 10 points

NISA [10]

Answer:

Step-by-step explanation:

Well, to make things easier, we can first note that 24/4 is equal to 6. This helps because integers are easier to work with compared to fractions. Next, multiplying 2 by 6, we get 12.

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3 years ago

Maya has to type a document of 2160 words. The graph below shows her initial progress. If

aksik [14]

The time it takes to type the document increases proportionately to the

number of words in the document.

The time it would take to type the document is; 36 minutes

Reasons:

From the possible figure from a similar question, we have;

The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)

The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;

The slope of the graph = 60

The y-intercept = 0

The equation that represents the proportional relationship shown on the graph is therefore;

y = 60·x

Where;

y = The number of words

x = The time it takes to type the document

The time it would take Maya to type the document of 2,160 words is given as follows;

2,160 = 60·x

Therefore;

$\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}$

The time it would take Maya to type the document is x = 36 minutes

Learn more about proportional functions here:

brainly.com/question/88422

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2 years ago

Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

Verify if the polygon is a square

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

The triangle BDA is a right triangle

therefore

The polygon is a square

Find the Area of the polygon

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

Find the perimeter of the polygon

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

2 years ago

PLEASE HELP WILL GIVE BRAINLIEST

Dovator [93]

The second one is right

8 0

2 years ago