Sydney wants to use a 10-ft ladder to get to a window 8 feet above the ground. At what angle with the ground does the ladder need to be set?

Answer:

She made 12 mugs.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to know some basics of parabolas to get this far in your math class, so hopefully you do, and what I'm about to do and say is not new or surprising to you.

If you plot the center (0, 0) which is your h and k, and then plot the focus, you should know that, since the parabola wraps itself around the focus, this parabola opens to the left. There is a work form and a standard form for a left-opening parabola. The work form will be

[tex]x=-a(y-k)^2+h[/tex] and the standard form will be

[tex]-(y-k)^2=4p(x-h)[/tex]

We will figure out what we need and will fill in both of these forms.

In general, the value of p is a distance; namely, it is the distance from the center to either the focus or the directrix (which is the same for both since the focus and the directrix are the same distance from the center, one on either side of it). From this we can determine that, since the focus is one unit away from the center, p = 1. Now that we know p we can find |a|:

[tex]|a|=\frac{1}{4p}[/tex]

Since p = 1, then [tex]|a|=\frac{1}{4}[/tex]

Now we can write the work form:

[tex]x=-\frac{1}{4}(y-0)^2+0[/tex] which of course simplifies to

[tex]x=-\frac{1}{4}y^2[/tex]

And remember we have the p value for the standard form:

[tex]-(y-0)^2=4(1)(x-0)[/tex] which simplifies a bit to

[tex]-y^2=4x[/tex] and when we solve for x:

[tex]x=-\frac{1}{4}y^2[/tex] which is the exact same as the work form!!! Look at that! : )

Answer: 44 inches

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

For the first one you just need to pour 1 gallon of water from the 5 gallon jug in the 3 gallon jug... If I understood well the question...

I think I probably didn't understand the question but...

Answer:

-2

Step-by-step explanation:

(7/2)-(4.5* 3) +8= -2

Answer: -2

Step-by-step explanation:

Answer:

$2.50 + $1.20x [tex]\leq[/tex] $20

Step-by-step explanation:

Monica needs to buy a gallon of milk ($2.50), but she also wants to buy yogurt which is $1.20 each. However, her total cost has to be under $20, and she doesn't know how much yogurt she can get. So the number of cups of yogurt is unknown, so it is represented by the variable x. Now, the milk and the unknown number of cups of yogurt must be less than or equal to $20.

Answer:

14 cupssssssssss

Step-by-step explanation:

Answer:

how far did all of together

Step-by-step explanati them walk :

Answer:

 (x+10)(x+1)( x-3) ( x-3)

Step-by-step explanation:

root of 3 with multiplicity 2

( x-3) ^2 or ( x-3) ( x-3)

root of -10

(x- -10)  is (x+10)

root of -1

(x - -1) is (x+1)

( x-3) ^2 (x+10)(x+1)

Answer:

C) f(x) = (x + 10)(x + 1)(x – 3)(x – 3)

Step-by-step explanation:

Answer:

h(x)= sqrt 2-x

Step-by-step explanation:

pretty sure this is right

Answer:

7x+14-2x-8 simplify and get 5x+6

Step-by-step explanation:

Distributive Property

-2(x+4)

-2x-8

Add together and combine like terms.

7x+14-2x-8

5x+6

Step-by-step explanation:

7x + 14 - 2 ( x+ 4)

7x + 14 - 2x + 8

7x - 2x + 14+8

5x+22 answer

Answer:

- 39

Step-by-step explanation:

x³ - 3y

Put x as -3 and y as 4.

-3³ - 3(4)

Solve for power and multiply.

-27 + - 12

Add the terms.

- 39

Answer:

-39

Step-by-step explanation:

x^3 - 3y

Let x = -3 and y = 4

(-3) ^3 - 3(4)

-27 -12

-39

Answer:

All numbers divisible by 9 are also divisible by 3.

Step-by-step explanation:

Nine is basically just 3 3's.

Answer:

(16y-3) (4y+1)

Step-by-step explanation:

using quadratic formula i.e.ay^2+by+c=0

64y^2+4y-3

64y^2+16y-12y-3

16y(4y+1)-3(4y+1)

(16y-3) (4y+1)

hope it help yuh...mark brianliest if my answer suit your question.

Answer: I am very sorry, but I don't know the answer either

Answer:

x is less than or equal to 7

Step-by-step explanation:

Answer:

Adding the x² terms gives us 9x² + 3x² = 12x², combing the x terms gives us 3x - 5x = -2x and -2 - 3 = -5 so the answer is 12x² - 2x - 5.

Answer:

12x²- 2x -5

Step-by-step explanation:

actually this is the sum

(9x² + 3x – 2) + (3x² – 5x – 3)=

9x² + 3x – 2 + 3x² – 5x – 3=

(9+3)x² + (3-5)x- 5 = 12x²- 2x -5

Answer:

a)

side a is opposite, side b is adjacent, side c is hypotenuse

b)

side a is adjacent, side b is opposite, side c is hypotenuse

Step-by-step explanation:

Answer:

Hhhhhhh

Step-by-step explanation:

Huhhhhhgg

Answer:

x = 109°

Step-by-step explanation:

Utilise the fact that angles in a triangle add up to 180 so,

→ Form an equation

x + 23 + 48 = 180

→ Simplify

x + 71 = 180

→ Minus 72 from both sides to isolate x

x = 109°

Answer:

109°

Step-by-step explanation:

x+48+23=180

x=180-71

Answer:

79.38 m^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

TO=√((4²+(8+4)²)=√(16+144)=√160=√(16×10)=4√10

OU=√(2²+(4+2)²)=√(4+36)=√40=√(4×10)=2√10

area of triangle TOUR=lw=4√10×2√10=8×10=80 units²

Answer:

4x + 14

Step-by-step explanation:

The perimeter of the triangle is equal to the sum of its three sides.

The sides of the triangle are 3x-5, 2x, and 19-x.

Calculate their sum.

3x - 5 + 2x + 19 - x

Rearrange.

3x + 2x - x + 19 - 5

Add or subtract like terms.

4x + 14

The perimeter of the triangle is 4x + 14.

Answer:

The perimeter of the triangle is 4x+14

Step-by-step explanation:

Perimeter is sum of all sides.

So,

=> 3x-5+2x+19-x

=> 5x-x-5+19

=> 4x+14

So, The perimeter of the triangle is 4x+14

Answer: 1/5 or 0.2

Step-by-step explanation:

10/50=15/75=23/115=28/140=32/160=1/5=0.2

Answer:

15 1/8 cups of oatmeal will be used

Step-by-step explanation:

Firstly, we shall be calculating the total number of dozens of muffin made

That would be the addition of the dozens of muffin made for the family reunion and that made for the club meeting = 3 + 2 1/2 = 5 1/2 or simply 5.5 dozens

Now, from the question initially, 2 3/4 or simply 2.75 cups of oatmeal makes 1 dozen muffins

x cups of oatmeal = 5.5 dozens of muffin

x * 1 = 2.75 * 5.5

x = 15.125 cups of oatmeal or simply 15 1/8 cups of oatmeal

Answer:

3(x + 2)

Step-by-step explanation:

i think of a number: x

add two: x + 2

then multiply by three: 3(x + 2)

Answer:

(x+2)3

Step-by-step explanation:

x is the number we thought of

so add the 2+the number we thought of which is;

x+2, then multiply by 3;

=(x+2)3

Answer:

[tex]5(x^3)^3-\frac{4x}{3}[/tex]

Step-by-step explanation:

Let the number be x

Condition:

=> [tex]5(x^3)^3-\frac{4x}{3}[/tex]

Answer:

[tex]5x^{9} - 4 x/3[/tex]

Step-by-step explanation:

The difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 can be written as:

[tex]5 \times (x^3)^3 - (4 \times x)/3[/tex]

Multiply the terms.

[tex]5(x^3)^3 - 4x/3[/tex]

Multiply the exponents.

[tex]5x^{3 \times 3} - 4 x/3[/tex]

[tex]5x^{9} - 4 x/3[/tex]

Answer to your query is provided below in the image

In this exercise we have to have knowledge about divisibility  in this way we find that:

[tex]3025 \ is \ 5^2(11)^2[/tex]

Knowing that divisibility is the ability of a number to decrease its value, we calculate that:

[tex]3025/5=605\\605/5=121\\121/11=11\\11/11=1\\=5^2(11^2)[/tex]

See more about prime factorizarion at brainly.com/question/369266

Answer:

it would b 2 in half cups of powder

Answer:

Step-by-step explanation:

The first thing we have to do is find the measure of angle A using the fact that the csc A = 2.5.

Csc is the inverse of sin. So we could rewrite as

[tex]\frac{1}{sinA}=2.5[/tex] or more easy to work with is this:

[tex]\frac{1}{sinA} =\frac{2.5}{1}[/tex]

and cross multiply to get

2.5 sinA = 1 and

[tex]sinA=\frac{1}{2.5}[/tex] which simplifies to

sin A = .4

Using the 2nd and sin keys on your calculator, you'll get that the measure of angle A is 23.58 degrees.

We can find angle B now using the Triangle Angle-Sum Theorem that says that all the angles of a triangle have to add up to equal 180.  Therefore,

angle B = 180 - 23.58 - 90 so

angle B = 66.42

The area of a triangle is

[tex]A =\frac{1}{2}bh[/tex] where h is the height of the triangle, namely side AC; and b is the base of the triangle, namely side BC. To find first the height, use the fact that angle B, the angle across from the height, is 66.42, and the hypotenuse is 3.9.  Right triangle trig applies:

[tex]sin(66.42)=\frac{h}{3.9}[/tex] and

3.9 sin(66.42) = h so

h = 3.57

Now for the base.  Use the fact that angle A, the angle across from the base, measures 23.58 degrees and the hypotenuse is 3.9. Right triangle trig again:

[tex]sin(23.58)=\frac{b}{3.9}[/tex] and

3.9 sin(23.58) = b so

b = 1.56

Now we can find the area:

[tex]A=\frac{1}{2}(1.56)(3.57)[/tex] so

A = 2.8 cm squared