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3 years ago

Help please !!

Mathematics

2 answers:

Rama09 [41]3 years ago

4 0

Answer: 4.47 units

Explanation:

V(-2,2) and W(-4,-2)

$\textnormal{length = } \sqrt{(2 + 2)^2 + (-2 + 4)^2} = \sqrt{16 + 4} = \sqrt{20} = 4.47 \textnormal { units}$

Andrej [43]3 years ago

4 0

The answer is: " 4.47 units " .
________________________________________________________
Explanation:
________________________________________________________
Note the Pythagorean theorem for right triangles:

→ a² + b² = c² ;

Solve for the "positive value of "c" ;

in which "c" is the "hypotenuse" ; which is the length of VW ;
_______________________________________
in which one side of a right triangle is from:
_______________________________________
"Point W" {coordinate of "(-4, -2)" to "(-2, -2)" ; which is "2 units" long;
_______________________________________
and another side of the right triangle is from:
_______________________________________
"(-2, -2)" to "(2, 2)" ; which is: "4 units long)

c² = 2² + 4² ;

Solve for the "positive value" of "c" ; which is the "hypotenuse" ; which is the length of VW .
_______________________________________________________

c² = 4 + 16 = 20 ;

c² = 20 ;

Take the "positive square root" of each side of the equation; to solve for "c" ;

⁺√(c²) = ⁺√20;

to get:

→ c = √4√5 = " 2√5 units " ;

or; using calculator: " √20 = 4.4721359549995794 " ;

→ round to: "4.47 units" .
_______________________________________________________

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The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win

andrew11 [14]

The number of races the team need to win today for the team to have a 75% success rate is 15

Number of attempt = 45

Number of winnings = 30

Percentage won so far = 30/45 × 100

= 66.67%

let

x = Number of races that tfe team needs to win to have 75% success rate

(30 + x) / (45 + x) = 0.75

Cross product

30 + x = 0.75(45 + x)

30 + x = 33.75 + 0.75x

x - 0.75x = 33.75 - 30

0.25x = 3.75

x = 3.75 / 0.25

x = 15

Therefore, the number of races the team need to win today for the team to have a 75% success rate is 15

Learn more about percentage:

brainly.com/question/7225231

7 0

2 years ago

What is percent 45 is 72?

agasfer [191]

Answer:

160% of 45 is 72.

Step-by-step explanation:

72/45=1.6

1.6=160%

3 0

3 years ago

The length of a rectangle is 7 more than the width. The area is 744 square centimeters. Find the length and width of the rectang

horsena [70]

Answer:

the width of the rectangle is 24 centimeters and the length is 31 centimeters.

Step-by-step explanation:

We first have to write an equation for this, but let's just recall that the area of a rectangle is equal to the length times the width. A=L×W.

A is the area

L is the length

W is the width.

So, for our equation we can start out by putting that 744= ? times ?.

So, we are given that the length is 7 more than the width. We are going to have to translate that to represent the length.

We need a variable. Let's use the letter "W," the width of the rectangle.

W=W.

The length is 7 more than the width, so it is L=W+7.

Length represents the W+7

Width represents W.

Now, we can complete our equation.

744=W(W+7).

Simplify the expression.

744= $W^{2}$ +7W.

Alright, you may be thinking on how we are going to solve this problem. This equation correlates with quadratic functions.

Let's complete the square.

In a quadratic function, the standard from is y= $ax^{2} +bx+c$ .

We need to find the c value.

We can do this by applying a formula. The formula states that c= b/2 and the whole thing squared. In other words, $(\frac{b}{2} )^{2}$ .

In this case, the b value is 7.

square 7, which is 49 and square 2 which is 4.

Now, the c value is 49/4.

We have now just created a perfect square trinomial.

Not only do we add 49/4 to W squared plus 7W, we also add 49/4 to 744.

744 plus 49/4 is 756/25.

Now, we have $W^{2}+7w+\frac{49}{4} = 756.25$

Change W squared plus 7w plus 49/4 to a binomial squared.

Just take the square root of the a value, W, and 49/4 for c. the square root of W squared is W. the square root of 49/4 is 7/2.

Those values are to the power of 2.

In other words, $(W+\frac{7}{2})^{2} =756.25$

To isolate for W, take the square root of both sides.The square root of W plus 7/2 squared is just W+7/2. The square root of 756.25 is 27.5

There are two solutions for W because square roots be positive or negative, but we are dealing with positive since negative doesn't make sense with the context of the problem.

We have $W+3.5 or \frac{7}{2}=27.5$

Isolate for W by subtracting both sides by 3.5 You get to W=24.

Therefore, the width of the rectangle is 24 centimeters.

Alright, we found the width. We now need to find the length. The problem stated that the rectangle was 7 more than the width. So, 24+7=31. Therefore, the length of the rectangle is 31 centimeters.

L=31cm

W=24cm.

I hope this was helpful! I wish you have an amazing day!

4 0

3 years ago

Please help due tonight being graded very urgent need help please Makayla has 68 customers that she delivers a paper to every mo

Neko [114]

ok so 68 customers everything morning times 7 days per week is 476 customer.

now we know that 476 x .67 = $318.92

she make 8.50 per week plus $318.92 from customers

now we have this equation of

500 = 8.5x + 318.92

find x you will know how many weeks she needs.

8.5x = 500 - 318.92

8.5x = 181.08

x = 181.08/ 8.5

x ~~ 21.3 weeks

5 0

4 years ago

Read 2 more answers

-21.965=2.3x I need help finding this prob out

Helga [31]

Answer:

x = -9.55

Step-by-step explanation:

-21.965 = 2.3x

2.3x = -21.965

Divide both sides by 2.3

x = -9.55

8 0

3 years ago