[tex] {3x}^{2} - 3x - 5 = 0[/tex]
​

Answer:

A

Step-by-step explanation:

Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.

This problem can be explained with sin law,

[Assume KL = 4cm]

(sin15)/4 = (sinL)/11

L = 45.4° or 135° (3 sig. fig.)

Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.

Answer:

ye

Step-by-step explanation:

Answer:

x=1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jarred drew the model below of his backyard. The perimeter of the backyard is 40 feet, and the backyard is 8 feet wide.

his backyard is in rectangle shape and breadth =8

perimeter = 40

but perimeter = 2(l+b)

so

2(l+8)=40

l+8=20

l=12 feet

Answer:

A) f(x) = 2x + 3

B) f(x) = x - 5

C) f(x) = 2x + 4

Step-by-step explanation:

To find - Please write the function(x) from the given rules:

              A) Twice the input value plus three.

              B) The input value minus five.

              C) To get the output, multiply the input by two, then add four.

Proof -

Let us assume that the input = x

The output = f(x)

Now,

A)

f(x) = 2x + 3

B)

f(x) = x - 5

C)

f(x) = 2x + 4

Answer:

h=6 feet

Step-by-step explanation:

Given: 1. The base of a rectangle is three feet longer than its height.

2.Are of the rectangle=54 square meters

Let us say the rectangle has height h and base(breadth) b.

Since, the base of the rectangle is three feet longer than the height, we have b=h+3.

Also, Area of the Rectangle= hb

therefore, 54=h(h+3)

54= h2+ 3h

h2+3h-54=0 (Subtract 54 from both the sides)

To find the value of h we have to solve the quadratic equation.

[We have the equation in the form ax2+bx+c=0, to factorise the equation-

Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.

Step2. Replace b with these numbers.

Step3. Simplify the equation]

So, h2+3h-54=0

h2+9h-6h-54=0

h(h+9)-6(h+9)=0

(h+9)(h-6)=0

Which gives-

h= -9 or h= 6

As h is the height of the rectangle, h can not be -9.

so h=6 feet

and b=h+3=9 feet

So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Answer:

what

Step-by-step explanation:

for your answer of this question

perimeter =sum of all side.

sorry I am unable to find perimeter without figure.

Volume of the container is option C. 756 cubic feet.

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

Volume of a three dimensional shape is the space occupied by the shape.

Volume of a rectangular prism = Length × Width × Height

Given,

Length = 18 feet

Width = 7 feet

Height = 6 feet

Volume = 18 × 7 × 6 = 756 feet³

Hence 756 cubic feet is the volume of the container.

Learn more about Rectangular Prism here :

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Answer:

250x+1000

Step-by-step explanation:

The linear equation that represents the total amount paid is 1000 + 250x.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given,

Amount of down payment = $1000

Per month payment = $250

For x number of months = $250x

Total paid = 1000 + 250x

Hence "The linear equation that represents the total amount paid is 1000 + 250x".

For more about the equation,

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Answer:

3584

Step-by-step explanation:

Answer:

volume = 160 cm³

Step-by-step explanation:

volume = 4 x 4 x 10 = 160 cm³

Answer:

(x−2)(x−3)

Step-by-step explanation:

x²−5x+6

number = x-y = -5

x*y=6

-2+-3 = -5

-2*-3 = 6

we get

(x-2)(x-3)

Answer:

(x−2)(x−3)

Answer: x=3,x=2: (x-3)(x-2)

Step-by-step explanation: Lets factor. What two numbers multiply to get 6 and add to get 5.

The two numbers are 3 and 2 so lets start factoring.

First since its not a perfect square trinomial we know it wont be something squares.

We put (x  ?)(x   ?) the question marks are numbers that will go in so the two numbers are 3 and 2 and since the sign in front of the 5x is a minus sign both numbers will be negative. So we would do (x   3)(x   2) and both signs would be negative so we get (x-3)(x-2)

Answer:

TV Price: 776.25

DVD Player Price: 258.75

Step-by-step explanation:

Television:

1,035 -  258.75 = 776.25

DVD Player:

1,035/2 = 517.5

517.5/2 = 258.75

Answer:

The acceleration of golf ball will be greater than the bowling ball.

Step-by-step explanation:

As the golf ball is light thing that will travel far but the bowling ball is heavier than the golf ball.So the acceleration of the golf ball will be more.

Answer:

awwwww

Step-by-step explanation:

Cool!

Answer:

:O That's so cool

Step-by-step explanation:

I've seen only one for the entire time I've been alive, lol

Answer:

x = 62.9° (3 sig. fig.)

Step-by-step explanation:

Simply by using the cos law,

cosx = (1.3² + 2.1² - 1.9²)/2(1.3)(2.1)

x = 62.9° (3 sig. fig.)

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

Answer: 36

Step-by-step explanation: multiply 2 6 and 3

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

Answer:

x=-6

Step-by-step explanation:

Answer:

[tex]h^{-1}[/tex] (x) = 2x - 6

Step-by-step explanation:

let y = h(x) and rearrange making x the subject

y = [tex]\frac{1}{2}[/tex] x + 3 ( multiply through by 2 to clear the fraction )

2y = x + 6 ( subtract 6 from both sides )

2y - 6 = x

Change y back into terms of x with x = [tex]h^{-1}[/tex] (x)

[tex]h^{-1}[/tex] (x) = 2x - 6

Answer:

7.5

Step-by-step explanation:

the answer to your question is 7.5

Answer:

3 - that is if all of those say 7 because some have a line through and some dont.  

Step-by-step explanation:

Download photomath. You take a photo of the math problem and it gives the answer plus steps to solve.

The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, Sally lives 3 miles due west of Jenny, and Jenny lives 4 miles due north of Dave.

Distance is

c²=3²+4²

c²=9+16

c²=25

c=5 miles

The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.

To learn more about the Pythagoras theorem visit:

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Answer:

40.00-30.98=x