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2 years ago

Please help me i really appreciate it

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

4 0

Answer:

Slope= 1/3

Step-by-step explanation:

find any 2 random points. Find the height difference and put it as the numerator of a fraction. Find the distance horizontally and put it as the denominator of the same fraction.

Let's use (10, 60) and (40, 70)

40-10=30 (denominator

70-60=10 (numerator)

10/30 (simplify)

1/3

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Can someone pls help me solve thiss

Nikolay [14]

Answer:

The value of x = 9

Step-by-step explanation:

Given the angles of the triangle

(13x+2)°

(5x-7)°

(3x-4)°

We know that the sum of angles of a triangle is 180°.

Therefore,

(13x+2)° + (5x-7)° + (3x-4)° = 180°

13x+2 + 5x-7 + 3x-4 = 180°

21x + 2 - 11 = 180°

21x - 9 = 180°

21x = 180° + 9

21x = 189

divide both side sby 21

21x/21 = 189/21

x = 9

Therefore, the value of x = 9

3 0

3 years ago

A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i

lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

It should be noted that to apply Thales' Theorem, it is necessary to establish the two triangles are similar, that is, that they have the corresponding angles equal or that their sides are proportional to each other.

Now, if we measure the shadow of the flagpole and the shadow of the person, at the same moment, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where $H$ is the height of the flagpole, $h=6 ft$ is the height of the person, $A=5 ft$ is the length of the shadow of the flagpole and $a=1\frac{1}{2}=1.5 ft$ is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

$\frac{H}{h}=\frac{A}{a}$ (1)

We know all these lengths except $H$ , which is the value we want to to find.

So, in order to approach this problem we have to find $H$ from equation (1):

$H=\frac{A}{a}h$

$H=\frac{5 ft}{1.5 ft}(6 ft)$

Then:

$H=20 ft$ >>>>>This is the height of the flagpole

4 0

3 years ago

If is parallel to , which statement must be true?

Igoryamba

I’m pretty sure it’s d

6 0

3 years ago

Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of

Marianna [84]

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is $C=25(1.025)^x$

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

$\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28$

It will take 28 years

5 0

2 years ago

Determine whether each equation below does or does not represent a proportional relationship. support your answer using either a

Triss [41]

Answer:

As the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship.
As the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship.

Step-by-step explanation:

Solving equation A: y = x 

Let us consider the given equation A:

y = x

Putting x = 1 in y = x

y = x

y = 1 ∵ x = 1

Hence, (1, 1) is the ordered pair of y = x

Putting x = 2 in y = x

y = x

y = 2 ∵ x = 2

Hence, (2, 2) is the ordered pair of y = x

Putting x = 3 in y = x

y = x

y = 3 ∵ x = 3

Hence, (3, 3) is the ordered pair of y = x

Putting x = 4 in y = x

y = x

y = 4 ∵ x = 4

Hence, (4, 4) is the ordered pair of y = x

Putting x = 5 in y = x

y = x

y = 5 ∵ x = 5

Hence, (5, 5) is the ordered pair of y = x

Lets us consider all the ordered pairs i.e. (1, 1), (2, 2), (3, 3), (4, 4) and (5, 5) to make a table for y = x.

y x

1 1

2 2

3 3

4 4

5 5

As from the table, lets take the ratio of every point i.e. y/x

For (1, 1), the ratio will be y/x ⇒ 1/1 = 1
For (2, 2), the ratio will be y/x ⇒ 2/2 = 1
For (3, 3), the ratio will be y/x ⇒ 3/3 = 1
For (4, 4), the ratio will be y/x ⇒ 4/4 = 1
For (5, 5), the ratio will be y/x ⇒ 5/5 = 1

Hence, the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship. Please also check the graph in attached figure a.

Solving equation A: y = x +2

Let us consider the given equation A:

y = x + 2

Putting x = 1 in y = x + 2

y = x + 2

y = 1 + 2 ⇒ 3 ∵ x = 1

Hence, (1, 3) is the ordered pair of y = x + 2

Putting x = 2 in y = x + 2

y = x + 2

y = 2 +2 ⇒ 4 ∵ x = 2

Hence, (2, 4) is the ordered pair of y = x + 2

Putting x = 3 in y = x + 2

y = x + 2

y = 3 + 2 ⇒ 5 ∵ x = 3

Hence, (3, 5) is the ordered pair of y = x + 2

Putting x = 4 in y = x + 2

y = x + 2

y = 4 + 2 ⇒ 6 ∵ x = 4

Hence, (4, 6) is the ordered pair of y = x + 2

Putting x = 5 in y = x + 2

y = x + 2

y = 5 +2 ⇒ 7 ∵ x = 5

Hence, (5, 7) is the ordered pair of y = x + 2

Lets us consider all the ordered pairs i.e. (1, 3), (2, 4), (3, 5), (4, 6) and (5, 7) to make a table for y = x + 2.

y x + 2

1 3

2 4

3 5

4 6

5 7

As from the table, lets take the ratio of every point i.e. y/x

For (1, 3), the ratio will be y/x ⇒ 3/1 = 3
For (2, 4), the ratio will be y/x ⇒ 4/2 = 2
For (3, 5), the ratio will be y/x ⇒ 5/3 = 5/3
For (4, 6), the ratio will be y/x ⇒ 6/4 = 3/2
For (5, 7), the ratio will be y/x ⇒ 7/5 = 7/5

Hence, the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship. Please also check the graph in attached figure a.

Keywords: equation, graph

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6 0

3 years ago