A 12 foot ladder is leaning up against a wall. If the angel made between the ladder and the ground is 80 degrees. How far up can the ladder reach the wall? Round to the nearest tenth of a foot

Answer:

130 degrees

Step-by-step explanation:

So u can see those little lines on two of the sides of the triangle, it means that it's congruent also meaning the same length, and if u didn't, the angles had to be the same in order for the sides to be the same length. So the other missing angle degree is also 25 degrees. A triangle is 180 degrees, so with this info:

25 + 25 + 4x + 2 = 180

4x + 52 = 180

4x = 128

x = 32, now we have x so replace the x in the equation with 32

4(32) + 2

128 + 2

130

Answer:

$65

Step-by-step explanation:

Let

x = original price of the item

Mai buys one item and saves $13,

This means 20% of the original price of the item = $13

20% of x = 13

20/100 * x = 13

0.2 * x = 13

0.2x = 13

Divide both sides by 0.2

x = 13 / 0.2

= 65

x = $65

Therefore, the original price of the item is $65

Answer:

x=30⁰

Step-by-step explanation:

4x-55+3x+25=180

7x-30=180

7x=210

x=30⁰

Proof

3(30)+25=115

4(30)-55=65

115+65=180⁰

Answer:

17.79

Step-by-step explanation:

16.78*1.06=17.886

Answer:

Step-by-step explanation:

n = -14

(x^3)(x^−17) =

x^(3 - 17) =

x^-14

Answer:

hi do You have tiktok?mm

Answer:

-13.858 !!!

Step-by-step explanation:

Answer:

x= 40

Step-by-step explanation:

The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.

Answer:

40

Step-by-step explanation:

[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]

please mark as brainliest

Answer:

Answer: 3) [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Radical Form and Exponent Form

A radical can be expressed as a rational exponent following the identity:

[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]

We should also recall that:

[tex](x^n)^m=x^{nm}[/tex]

We are given the expression:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]

Applying the power of power:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]

Simplifying:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]

Converting to radical form:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]

Answer: 3) [tex]\sqrt{5}[/tex]

Answer:

[tex]f(6) = f(-6)[/tex] --- True

[tex]f(6)=2 * f(3)[/tex] --- False

Step-by-step explanation:

Given

[tex]f(x) = \frac{x^2}{3} - 2[/tex]

Solving (a): f(6) = f(-6)

First, we solve for f(6) by substituting 6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(6) = \frac{6^2}{3} - 2[/tex]

[tex]f(6) = \frac{36}{3} - 2[/tex]

[tex]f(6) = 12 - 2[/tex]

[tex]f(6) = 10[/tex]

Next, we solve for f(-6) by substituting -6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(-6) = \frac{-6^2}{3} - 2[/tex]

[tex]f(-6) = \frac{36}{3} - 2[/tex]

[tex]f(-6) = 12 - 2[/tex]

[tex]f(-6) = 10[/tex]

We have that:

[tex]f(6) = f(-6) = 10[/tex]

Hence, the statement is true

Solving (b): [tex]f(6)=2 * f(3)[/tex]

We have that:

[tex]f(6) = 10[/tex]

Next, we solve for f(3) by substituting 3 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(3) = \frac{3^2}{3} - 2[/tex]

[tex]f(3) = \frac{9}{3} - 2[/tex]

[tex]f(3) = 3 - 2[/tex]

[tex]f(3) = 1[/tex]

[tex]2 * f(3) = 2 * 1[/tex]

[tex]2 * f(3) = 2[/tex]

So:

[tex]f(6)=2 * f(3)[/tex]

[tex]10 \neq 2[/tex]

Hence, the statement is false

Answer:

The answer is 14

Step-by-step explanation:

The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.

Answer:

4x + 12 = -4

4x = -16

x = -4

Step-by-step explanation:

Have a great day :)

Answer:

1 solution

Step-by-step explanation:

You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.

Answer:

The answer is C, because those are the points that cross the x-axis.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

When you look at the graph, you can see that all the points are listed where they should be

Answer:

O Yes, (0, 2) is a solution

Step-by-step explanation:

The Solution of an Equation

Given the equation

-2x + y = -1

An ordered pair (a,b) is a solution of the equation if

-2a + b = -1

Let's test the point (0,2) to check if it's a solution of the equation:

Replacing x=0, y=-1

-2(0) + (-1) = -1

0 - 1 = -1

-1 = -1

Since the equation is satisfied, the pair (0,2) is a solution.

Answer: O Yes, (0, 2) is a solution

Answer:

No, (0, 2) is not a solution.

Step-by-step explanation:

I did the test

Answer:

just multiply first x+1 to x+5 then add and subtract

Answer:

             The answer is 1,464.

The answer will be -1,464, when 1464 is "below sea level".

I hope it help you...

Answer:

Summary:

Standard form allow us to quickly find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Step-by-step explanation:

The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.

Standard Form:

The standard form of a quadratic is:

[tex]ax^2+bx+c[/tex]

There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.

The leading coefficient a will tell us if the parabola curves upwards or downwards.

And the constant c will give us the y-intercept.

Vertex Form:

The vertex form of a quadratic is:

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

There are also two details that can be conveyed by a quadratic in vertex form:  (1) the vertex, and (2) the leading coefficient.

The leading coefficient is given by a. Again, this tells us the orientation of the parabola.

And the vertex is given by (h, k).

Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.

Factored Form:

The factored form of a quadratic is:

[tex]a(x-p)(x-q)[/tex]

Where p and q are the zeros/roots/solutions of the quadratic.

Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.

The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.

Summary:

Therefore, each form of a quadratic equation has its own benefits.

Standard form allow us to find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Hence, depending on the question, each form can be useful in its own way.

Answer:

9, 16, 21, 9

Step-by-step explanation:

I hope this help and it was going in order

Answer:

165

Step-by-step explanation:

We solve the first 5

1*(10-1)=9

2*(10-2)=16

3*(10-3)=21

4*(10-4)=24

5*(10-5)= 25

and notice

when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so

You add the first 5 integer you solved up

9 16 21 24 25 = 95

and then you double it no extra 25

and then you get 165 = answer

Answer:

3) x = 21.33

4) x = 33

5) x = 11

Step-by-step explanation:

3: (3x + 17) + (x + 40) + (2x - 5) = 180

6x + 52 = 180

6x = 128

x = 21.333...

4: 180 / 3 = 60

3x - 39 = 60

3x = 99

x = 33

5: 90 + (6x + 7) + (2x - 5) = 180

8x + 2 = 90

8x = 88

x = 11

Answer:

$40781250

Step-by-step explanation:

Okay so the formula for simple interest is: I = P x T x R divided by 100

25000 x 10875 x 15 = 4078125000 / 100 = $40781250

If you have the multiple choice answers:

A. $160

B. $200

C. $1600

D. $16,000

the answer is C. $1600

here's why:

The principal is $10,000, the interest rate is 2%, and the time is 8 years.

I = Prt

 = $10,000 · 2% ⋅ 8

 = 10,000 ⋅ 0.02 ⋅ 8

 =         1600

So, the interest earned is $1600.

Answer:

No.

Step-by-step explanation:

80/100 equals 0.8

Answer:

1 hour ago-0*C3

hours ago-(-3*C)

4.5 hours ago- (-9*C

Answer:

-5

Step-by-step explanation:

To calculate the gradient of the slope, we have to calculate the [tex]\frac{rise}{run}[/tex].

[tex]\frac{3-(-7)}{9-11}[/tex] = [tex]\frac{3+7}{-2}[/tex]

[tex]\frac{3+7}{-2}[/tex] = [tex]\frac{10}{-2}[/tex]

[tex]\frac{10}{-2}[/tex] = -5

Answer:

? that makes no sense

Step-by-step explanation:

Answer:

n × 6 + 17 ≤ 21

Answer:

1 3/8 pounds

Step-by-step explanation:

divide 8 1/4 by 6

Answer:

y=22.1

Notice how 24.7 and 11.7 are 1.3 times larger than the corresponding sides in the smaller triangle. Therefore, 17 times 1.3 should give us our y value.

17 x 1.3=22.1

22.1=y

Step-by-step explanation: