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3 years ago

Please help. its very easy

Mathematics

2 answers:

Sholpan [36]3 years ago

7 0

The answer is D. 35 people prefer America food

podryga [215]3 years ago

7 0

Step-by-step explanation:

$35\% \: of \: 40 \\ = \frac{35}{100} \times 40 \\ = 3.5 \times 4 \\ = 14$

Hence 14 students prefer American food.

Option B is the correct answer.

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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

3 years ago

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diamong [38]

Answer:

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Step-by-step explanation:

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3 years ago

Can someone help me please

UNO [17]

The interior angles are 3, 4, and 6. Angle 3 is adjacent to angle 1, so is not remote.

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... A. angle 4

... E. angle 6

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3 years ago

The points ( - 6,5) and ( - 7,q) fall on a line with a slope of 10. What is the value of q?

Usimov [2.4K]

If you go on my profile you will see a similar problem that I already answered today.

Lets start by using a formula (don't remember the name)

(y-y1)=M(x-x1)

M is slope and y is first y value and y1 is second y value same applies to X.

Substitute in the values.

(5-q) = 10(-6-(-7))

5-q = 10*(1)

5-q = 10

-q = 5

q = -5

Check:

Substitute in the value of "q" and use the formula to find slope:

(y1-y)/(x1-x)

Substitute

(-5-5)/(-7-(-6))
-10/-1
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Your Answer:
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3 years ago

A basketball game a team made 52 successful shots they were a combination of 1- and 2- point shots the team scored 86 points in

jasenka [17]

Answer: 15

Step-by-step explanation:

x = one point shots

y = two point shots

1) Setup your equations.

x + y = 52

x + 2y = 89

2) Isolate a variable.

x = 52-y

3) Plug in.

(52-y) + 2y = 89

52 +y =89

y=37

4) Solve for x.

x = 52 -37

x=15

5) Check your answer.

15 + 2(37) = 89

15+74=89

89=89

37+15 = 52

52=52

x = one point shots

y = two point shots

1) Setup your equations.

x + y = 52

x + 2y = 89

2) Isolate a variable.

x = 52-y

3) Plug in.

(52-y) + 2y = 89

52 +y =89

y=37

4) Solve for x.

x = 52 -37

x=15

5) Check your answer.

15 + 2(37) = 89

15+74=89

89=89

37+15 = 52

52=52

8 0

3 years ago

Read 2 more answers