PLEASE HELP ME!!! I will give the BRAINLIEST for whoever answers it CORRECTLY!

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let L be the length of this rectangle

The length of a rectangle is 2 feet less than four times the width

● L+2 = 4w

The area of this rectangle is 38.2 ft^2

● L*w = 38.2

The system of equations is

L+2 = 4w => L-4w =2

L*w = 38.2 => L= 38.2/w

Replace L by 38.2/w in L-4w =2

● L-4w = 2

● (38.2/w)-4w = 2

●(38,2-4w^2)/w = 2

● 38.2-4w^2 = 2w

● 38.2-4w^2-2w = 0

● -4w^2-2w+38.2 =0

Multiply by -1 to reduce the - signs

● 4w^2+2w-38.2 =0

This is a quadratic equation so we will use the discriminant

□□□□□□□□□□□□□□□□□

The discriminant is b^2-4ac

● b= 2 (2w)

● a= 4 (4w^2)

● c= -38.2 (the constant term)

b^2-4ac =2^2-4*4*(-38.2) = 615.2 > 0

The discriminant is positive so we have two solutions w and w' :

●●●●●●●●●●●●●●●●●●●●●●●●

w= (-2-24.8)/8 = -3.35

24.8 is the root square of 615.2(the discriminant)

●w is negative

● a distance is always positive so this value isn't a solution

w'= (-2+24.8)/8 =2.85 > 0

So this value is a solution for our equation

■■■■■■■■■■■■■■■■■■■■■■■■■■

w= 2.85 feet

Answer:

w=3.35

Step-by-step explanation:

The length of a rectangle is two feet less than four times the width:

length=4W-2

A=L*W

A=(4W-2)(W)

38.2=4W^2-2W

4W^2-2W-38.2=0  complete the square to find the solution add term(b/2)²

4W²-2W+1/4=38.2+1/4

4(W²-W/2+1/16)=38.45

4(w-1/4)^2=38.45

(w-1/4)²=38.45/4=9.6125

w-1/4=+ or -√9.6125 ( since it is width it has to be positive

w=√9.6125+1/4 = 3.35

Answer: A.    7.50 +14P < 60

Step-by-step explanation:

Let P represent the number of pizzas that Jacque buys.

Given, delivery fee =$7.50

Per pizza cost = $14

She wants to buy as many pizzas as she can, and she also needs to

keep the delivery fee plus the cost of the pizzas under $60.

i.e.  (delivery fee) + (Number of pizzas) x (Per pizza cost) < $60

i.e. 7.50 +14P<60

Required inequality :  7.50 +14P<60

Answer:

A.    7.50 +14P < 60  Answer: Jacque can only afford 24 slices of pizza

Step-by-step explanation:

Answer:

1.road 1

2. scooter

3. walk

Answer:

1. road 1

2. scooter

3. walk

Step-by-step explanation:

1. in the corresponding point on the tree, you have road 2. therefore, the most logical answer would be road 1.

2. you are given three options of travel. as "walk" and "bike" are already provided, they cannot be the answer to fill in for box 2. therefore, you are left with "scooter."

3. similarly, you are given three options of travel. as "bike" and "scooter" are already provided, they cannot be the answer to fill in for box 3. therefore, you are left with "walk."

Step-by-step explanation:

We need to find the value of k so that the triangle with vertices (1, -1), (-4,2k) and (-k, – 5) is 24 sq. units.

The area of triangle is given by :

[tex]A=\dfrac{1}{2}\times [x_1(y_2-y_3)-x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

Here,

x₁ = 1, y₁ = -1, x₂ = -4, y₂ = 2k, x₃ = -k and y₃ = -5

So,

[tex]24=\dfrac{1}{2}\times [1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]

We need to solve the above equation,

[tex]48=[1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]

On solving the above equation we get the value of k as :

k = 4.7

Answer:

4 litres of 12% solution

2 litre of 24% solution

Step-by-step explanation:

Let the 12% solution = l

Let the 24% solution = h

Dimitri needs a total of 6 litres of both :

l + h = 6 - - - - - - - - (1)

He needs a mixture of both volumes of both to give a 16% volume

12%l + 24%h = 16% * 6

0.12l + 0.24h = 0.96 ----(2)

From (1)

l + h = 6;

l = 6 - h

Substitute l =6-h into (2)

0.12(6 - h) + 0.24h = 0.96

0.72 - 0.12h + 0.24h = 0.96

0.72 + 0.12h = 0.96

0.12h = 0.96 - 0.72

0.12h = 0.24

h = 0.24 / 0.12

h = 2

From ;

l = 6 - h

l = 6 - 2

l = 4

Answer:

hi you can solve this sum by 4×side formula

Step-by-step explanation:

plz solve and check you equation

Answer:

BD

Step-by-step explanation:

to find the longest segment in a triangle, first find the largest angle and the line opposite to it is the largest segment:

in this case it is angle BCD and the segment opposite is BD

Answer:

r=2

Step-by-step explanation:

y = k x^r  is the formula for a direct variation

y = k x^ -r is the formula for a indirect variation

20= 5 (1/2)^ -r

Divide each side by 5

4 = (1/2) ^ -r

Rewriting

2^2 = 2^ -1 ^ -r

2^2 = 2 ^ r

The bases are the same so

2 =r

Answer:

r=-2

Step-by-step explanation:

because i had this questiion and i got it right

Answer:

2/13

Step-by-step explanation:

In a standard deck of cards, there are 52 cards total, 4 kings, and 4 queens.

Probability is calculated by (number of favorable outcomes)/(number of possible outcomes), so our probability would be 8/52, which can be simplified to 2/13.

Hope this helps!

Answer:

∆ABC=∆DBC

Step-by-step explanation:

The angle of ABC, which is 90° is the same as the angle DBC which is also 90°

Answer:

4.25%

Step-by-step explanation:

Commision =  441.30 - 375 = 66.30

Commision is based on  = 6560-5000 = 1560

Rate of Commision = (in decimal) 66.30/1560 = 0.0425  

Rate of Commision = 0.0425  * 100 =   4.25 %

Answer:

1.25

Step-by-step explanation:

8x² -38x + 35 = 0

8x² - 10x - 28x + 35 = 0

2x(4x - 5)-7(4x - 5) = 0

(4x−5)(2x−7) = 0

4x - 5 = 0 or 2x - 7 = 0

x = 5/4 or x = 7/2

x = 1.25 or 3.5

Smallest value being = 1.25

Answer:

-7/8

Step-by-step explanation:

Step-by-step explanation:

Given:

Successful outcome

Red=3

Blue=2

Possible outcome

Total=5 balls

Required:

The probability of drawing red ball

Formula:

Probability= Successful outcome ÷ Possible outcome

Solution:

Probability= Successful outcome ÷ Possible outcome

Probability=3÷5

Probability=3/5 or 0.6

Hope this helps ;) ❤❤❤

Answer:

Third term=4

Step-by-step explanation:

Given:

C(n)=4/9(-3)^n-1

Find the third term

Let n=3

Substitute n=3 into the equation

C(n)=4/9(-3)^n-1

C(3)=4/9(-3)^3-1

Step 1: evaluate the power 3-1

C(3) = 4/9(-3)^2

Step 2: evaluate (-3)^2

C(3) = 4/9(9)

It can be rewritten as

C(3) = 4/9*9

9 numerator will strike 9 denominator out leaving 4

C(3)=4

Therefore, the third term=4

C(3)=4

Answer:

28

Step-by-step explanation:

All angle measures must add up to 180. x + 85 + 67 = 180; x = 28

For any triangle, the three angles always add to 180 degrees

85+67+x = 180

x+152 = 180

x = 180-152

x = 28

Answer:

The fraction of corn is 4/10 of the garden.

Step-by-step explanation:

5/10 + 1/10 = 6/10

10/10 - 6/10 = 4/10 or 2/5

Answer:

work is shown and pictured

Answer:

The answer is C

Step-by-step explanation:

Answer: radius = 6.5millimeters; Area = 132.7m²

Step-by-step explanation:

The circumference of a circle = 2πr

The area of a circle = πr²

The circumference of a button is 40.8 millimeters. Then we can get the radius, thus will be:

Circumference = 2πr

40.8 = 2 × 3.14 × r

40.8 = 6.28r

r = 40.8/6.28

r = 6.5

Radius is 6.5 millimeters

Area = πr²

Area = 3.14 × 6.5 × 6.5

Area = 132.7m²

Answer:

44 units²

Step-by-step explanation:

For triangles: (bases and heights of both triangles are equal)

Base = 4 units, height = 3 units

For trapezoid:

Base 1 = 5 units, base 2 = 3 units, height = 8 units

Area of figure = Area of two triangles + Area of trapezoid

= 2 *1/2 * base * height + 1/2(base 1+ base 2) *height

=4*3 + 1/2(5+3)*8

= 12 + 8*4

= 12 + 32

= 44 units²

The required area of the figure shown in the graph is given as 44 square units.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

here,
The area of the given figure  is given as,
Area = Area of 1 + Area of 2 + Area  3 + Area 4
Area = length × width + [1/2× base × height] + [1/2× base × height] + [1/2× base × height]

Area = 8 × 3 + 1/2 × 4 × 3 + 1/2 × 4 × 3 + 1/2 × 8 × 2
Area = 44 square units.

Thus, the required area of the figure shown in the graph is given as 44 square units.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ6

Answer:

tan (40°) = [tex]\frac{x}{100}[/tex]

Step-by-step explanation:

tan [tex]\theta[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

The opposite side to angle B is x. The adjacent side to angle B is 100 ft.

tan (40°) = [tex]\frac{x}{100}[/tex]

Answer:

tan 40° = x/100

Step-by-step explanation:

As, AC is perpendicular and BC is the with respect to angle ABC. So, tan 40° will be use to determine the distance in feet from point C to point A.

tan ABC = perpendicular/base

tan 40° = AC/BC

tan 40° = x/100 feet

Answer:

n = 4

Step-by-step explanation:

4(2n + 3) = 44

Expand the brackets.

4(2n) + 4(3) = 44

8n + 12 = 44

Subtract 12 on both sides.

8n + 12 - 12 = 44 - 12

8n = 32

Divide both sides by 8.

(8n)/8 = 32/8

n = 4

Answer:

a = 1500

b = 0.97

Step-by-step explanation:

The equation we are modeling is ;

F(x) = ab^x

Now we have two parameters to fix.

These are the density and the annual percentage increase

We can substitute the value of 1500 for a and also make a corresponding substitution for b.

Now for b, the value to substitute is quite dicey.

3% = 3/100 = 0.03

To make any substitution, we need to subtract this value from 1 and that would be 0.97

So it is this 0.97 that we now raise x to for each of the number of years

Answer:

x=3.00 or x= 8.00

Explanation:

Let us denote side of the cut-out square as x inches

Then base of box = 16-2x by 6-2x

The volume = V = (16-2x)(6-2x)

= 96-3x-12x+4x

dV/dx = 96-44x+4x^2

= 0 for a max V

divide by 4

X^2 -11x +24=0

Using quadratic formula to solve the equation

X= (11± √11^2-(4×1×24)/2

(11± √25)/2

x= 3 or 8inches

From the equation of volume = V = x(16-2x)(6-2x)

Substitute

let x = 3 , V = 3(16-6)(6-6) = 0

let x = 8 , V = 8(16-16)(6-16) = 0

Therefore, the maximum volume exist at both point x=3 or x= 8

Step-by-step explanation:

Answer:

The answer is C.) (2, -5)

Answer:

[tex]\boxed{Median = 152}[/tex]

Step-by-step explanation:

Observation = 568 , 254 , 152 , 101 , 100

In ascending order:

=> 100 , 101 , 152 , 254 , 568

Median is the middlemost no. So here:

Median = 152

Answer:

152

Step-by-step explanation:

If you set the data in an ascending order, you will find 152 to be the middle value, thus being the median

Answer:

36 people joined the radio control club.

Step-by-step explanation:

15-3= 12

12*3=36

Answer:

See below.

Step-by-step explanation:

SQUARE:

The area of the square is:

[tex]9x^2-12x+4[/tex]

Factor it:

[tex]=9x^2-6x-6x+4\\=3x(3x-2)-2(3x-2)\\=(3x-2)(3x-2)\\=(3x-2)^2[/tex]

Remember that all four sides of a square is equal. The area is simply the side squared. Therefore, all four sides of the square measure (3x-2).

RECTANGLE:

[tex]25x^2-16y^2\\[/tex]

Factor it. This resembles the difference of two squares, where:

[tex](x-a)(x+a)=x^2-a^2[/tex]

[tex]25x^2-16y^2\\=(5x)^2-(4y)^2\\=(5x-4y)(5x+4y)[/tex]

This cannot be simplified further. Note that the sides of rectangles doesn't necessarily have to be the same.

The dimensions of the rectangle is:

(5x-4y) by (5x+4y)

Answer:

Step-by-step explanation:

1. the area of square is 9x^2-12x+4 square units

shortcut: (a-b)^2= a^2-2ab+b^2

then simplify 9x^2-12x+4 to (3x-2)^2

area of square = s^2

then side equals sqrt((3x-2)^2)

s = (3x-2) units

2. the area of rectangle is (25x^2-16y^2) square units

shortcut: (a^2-b^2) = (a-b)(a+b)

then simplify (25x^2-16y^2) to (5x-4y)(5x+4y) square units

one side is: (5x-4y) units

one side is (5x+4y) units