. You lean a 16 foot ladder against the wall. If the base is 4 feet from the wall, what angle does
the ladder make with the ground? Round your answer to the nearest tenth.

Answer: 175

Step-by-step explanation:

7 x 1 x 5^2

7 x 1 x 25

7 x 25

175

Answer:

175

Step-by-step explanation:

Since we have 7ca^2 and since we know a = 5 and c = 1, we can just plug in these values for a and c and follow the order of operations:

[tex]7ca^2\\7(1)(5)^2\\7(1)(25)\\7*25=175[/tex]

All that apply are:

The slope is 0.

The y-intercept is -2

The line is horizontal.

The equation of the line is Y = -2.

Given points:

(1,-2) and (4,-2)

slope m = -2-(-2) / 4 - 1

= -2+2/3

= 0

so slope is 0

y = mx + c

(1,-2) passes

-2 = 0*1 + c

c = -2

y = 0*x + -2

y = -2

so the line is horizontal and equation of the line is y = -2.

The y-intercept is -2.

Learn more about the equation here:

https://brainly.com/question/10413253

#SPJ1

Answer:

B and D are the correct answers.

The factored expression of (x - 3)^2 - 64y^4 is given as follows:

(x - 3)^2 - 64y^4 = (x - 3 + 8y²)(x - 3 - 8y²).

The subtraction of perfect squares is a notable product that gives the simplification of an expression containing the subtraction of perfect squares as follows:

a² - b² = (a - b)(a + b).

In this problem, the expression is presented as follows:

(x - 3)^2 - 64y^4

This expression is a subtraction of perfect squares, as the terms are given as follows:

Then the expressions are given as follows:

Then the factored expression is presented as follows:

a² - b² = (a - b)(a + b).

(x - 3)² - 64y^4 = (x - 3 + 8y²)(x - 3 - 8y²).

More can be learned about the subtraction of perfect squares at https://brainly.com/question/28792378

#SPJ1

The future value of an investment with such details must have a present value of $11120.58

Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date. The present value formula (PV formula) is derived from the compound interest formula. The compound interest formula is,

FV = PV(1 + r/n)^nt

We can substitute the values into the formula

15000 = PV(1 + 0.06/12)^12*5

15000 = PV(1.005)^60

PV = 11120.58

The present value of an investment to give a future value of $15000 at 6% rate in 5 years is $11120.58

Learn more on present value here;

https://brainly.com/question/24703884

#spj1

Answer:

false

Step-by-step explanation:

25% is equivalent to 0.25

The polynomial of p(x) is 20/13(x³+4x²-9x-36) with the satisfying's conditions degree 3.

Given that,

An nth degree polynomial p meets the requirements listed below:

p is of degree 3.

-3 is a multiplicity 1 zero of p.

-4 is a zero, with multiplicity 1, of p.

3 is a root, with multiplicity 1, of p.

p(-2)=-40

We have to determine an nth degree polynomial that satisfier the conditions.

Let the polynomial be p(x) whose zero are -3,-4 and 3.

a be the coefficient.

p(x)=a(x+3)(x+4)(x-3)

p(x)=a(x²-3²)(x+4)

p(x)=a(x²-9)(x+4)

p(x)=a(x³+4x²-9x-36)

Now, take x=-2

p(-2)=a((-2)³+4(-2)²-(-2)-36)

-40=a(-8+16+2-36)

-40=a(-26)

a=-40/-26

a=40/26

a=20/13

We get,

p(x)=20/13((x+3)(x+4)(x-3))

p(x)=20/13(x³+4x²-9x-36)

Therefore, the polynomial of p(x) is 20/13(x³+4x²-9x-36) with the satisfying's conditions degree 3.

To learn more about degree visit: https://brainly.com/question/364572

#SPJ1

The number of notes of Rs. 100 is 1000, Rs. 50 is 1500, and Rs. 10 is 2500.

The ratio describes the number of times one number contains another. It helps to establish a relationship between two or three quantities.

The ratio between any two quantities is described as a:b. This can also be written as a to b or a/b.

The ratio of RS.100, RS.50, and RS.10 is 2:3:5.

From the given ratio, consider

The total amount is given as RS.200,000. This can be written as,

[tex]\begin{aligned}100\times2x+50\times 3x+10\times5x&=200,000\\200x+150x+50x&=200,000\\400x&=200,000\\x&=\frac{200,000}{400}\\x&=500\end{aligned}[/tex]

Therefore,

To know more about ratios:

https://brainly.com/question/20626243

Answer:

3.6  cups

Step-by-step explanation:

We have to make a proportion to solve this.

[tex]\frac{2cups}{5 gallons}[/tex] = [tex]\frac{x cups }{9 gallons}[/tex]

9 x 2 = 18

18 / 5 = 3.6.

Jai rate of reading in books per month is 1.5 books per month.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this case, Jai read 3 books in 2 month, his rate of reading in books per month will be:

= Number of books / Number of months

= 3 / 2

= 1.5 books per month

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Answer:

I am definitely not one...Lol

Step-by-step explanation:

Answer:

-6/11

Step-by-step explanation:

please follow me to mark me on brainliest

Answer:

I am thinking the answere is -6 x 7 but I'm not completely

Answer:

12. [tex]\frac{1}{z^{2} }[/tex]

13. x⁶

Step-by-step explanation:

*Note: When multiplying two of the same variables you add the exponents. When dividing two of the same variables you subtract the exponents. When a variable to a power is raised to another power you multiply the exponents.

Answer:

3.1

Step-by-step explanation:

23.5-6.8x

x=3

first put 3 in for x

23.5-6.8(3)

now solve the expression

23.5-20.4

3.1

Answer:

The following question has been answered in the attached document. If there are any queries kindly let me know they will be resolved shortly.

PRO TIP:

don't forget to mention y=0 on x axis and x=0 on y axis whenever you are drawing a graph as it accounts for 1/2 mark in board exams.

The line cuts the y axis at (0, -4) Also (0,0) satisfies the inequality So the shaded region is towards (0, 0). Since there is a strict inequality, the line is a broken line

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, [tex]\geq[/tex], [tex]\leq[/tex]

A one degree inequation is known as linear inequation.

The given linear inequality is

2x - 3y < 12

For the point on x axis for the line 2x - 3y = 12

we put y = 0

[tex]2x - 3\times 0 = 12\\2x = 12\\x = \frac{12}{2}\\x = 6[/tex]

The line cuts the x axis at (6, 0)

For the point on y axis for the line 2x - 3y = 12

we put x = 0

[tex]2\times 0 - 3y = 12\\-3y = 12\\y = \frac{12}{-3}\\y = -4[/tex]

The line cuts the y axis at (0, -4)

Also (0,0) satisfies the inequality

So the shaded region is towards (0, 0)

Since there is a strict inequality, the line is a broken line

The graph has been shown in the figure attached

To learn more about linear inequality, refer to the link
https://brainly.com/question/24372553
#SPJ4

Answer:

60/15

Step-by-step explanation:

A fraction is simply a portion of a whole number, so 1/15 is the number 1 split into fifteen equal parts, therefore 15/15 = 1.

So 4 as a fraction with fifteen as the denominator would be 15/15 x 4, which equals 60/15.

The equation for the parabola with the given characteristics is:

y = (2/35)*(x + 7)*(x - 5)

We know that for a parabola that has the zeros x₁ and x₂, and a leading coefficient a, can be written as:

y = a*(x - x₁)*(x - x₂)

In this case, the roots (zeros) are at X =-7 and x = 5

Then we can write:

y = a*(x + 7)*(x - 5)

Now we also know that it passes through the point (0, -2), then we can write:

-2  =a*(0 + 7)*(0 - 5)

-2 = a*-35

2/35 = a

Then the equation for the parabola is:

y = (2/35)*(x + 7)*(x - 5)

Learn more about parabolas:

https://brainly.com/question/4061870

#SPJ1

The equations that are true for x = –2 and x = 2 include the following:

x² – 4 = 0

4x² = 16

In order to determine which x-values are true solutions based on the given equations, we would have to test each of the x-values by substituting their values into the equations as follows;

When x = -2, we have:

x² – 4 = 0

(-2)² – 4 = 0

4 - 4 = 0 (True).

When x = 2, we have:

x² – 4 = 0

(2)² – 4 = 0

4 - 4 = 0 (True).

When x = -2, we have:

x² = -4

(-2)² = -4

4 = -4 (False).

When x = -2, we have:

3x² + 12 = 0

3(-2)² + 12 = 0

3(4) + 12 = 0

12 + 12 = 0

24 = 0 (False).

When x = -2, we have:

4x² = 16

4(-2)² = 16

4(4) = 16 (True).

When x = 2, we have:

4x² = 16

4(2)² = 16

4(4) = 16 (True).

When x = -2, we have:

2(x – 2)² = 0

2(-2 – 2)² = 0

2(-4)² = 0

2(16) = 0

32 = 0 (False).

When x = 2, we have:

2(x – 2)² = 0

2(2 – 2)² = 0

2(0) = 0 (True).

Read more on equation here: brainly.com/question/18912929

#SPJ1

Complete Question;

Which equations are true for x = –2 and x = 2? Select two options

x² – 4 = 0

x² = -4

3x² + 12 = 0

4x² = 16

2(x – 2)² = 0

Answer:

at least put the possible answers

The series as represented in the task content is divergent and hence; diverges.

It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.

It is noteworthy to know that;

If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.

Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.

Read more on convergence and divergence of series;

https://brainly.com/question/28169281

#SPJ1

The number represented in the statement is 7

The statements in the question can be highlighted as:

When represented as an equation, we have

5(3x - 10) = 55

Where x represents the number

Divide both sides by 5

3x - 10 = 11

Add 10 to both sides

3x = 21

Divide by 3

x = 7

Hence, the result is 7

Read more about word problems at

https://brainly.com/question/21405634

#SPJ1

Answer:

10

Step-by-step explanation:

I guess your question is

[tex] {(x - 3)}^{2} = 49[/tex]

[tex]x \: - 3 = \sqrt{49} \\ x - 3 = 7 \\ x = 7 + 3 \\ x = 10[/tex]

If It is estimated that the sanctuary can sustain up to 600 deer. Absent constraints, the population would grow by 70% per year. After one year is 85 and after two years is 144.50.

Using this formula

A = P(1+r)t

Where:

A = Amount

P = Principal

r =Interest rate

t = time

Let plug in the formula

After one year:

A = 50(1+0.70)^1

A = 50(1.70)^1

A= 85 deer

After two years:

A = 50(1+.70)^2

A = 50(1.70)^2

A = 50(2.89)

A = 144.50 deer

Therefore the population growth is 85 deer and 144.5 deer.

Learn more about population growth here:https://brainly.com/question/27779235

#SPJ1

The complete question is:

A population of 50 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 600 deer. Absent constraints, the population would grow by 70% per year.

how many after one year

how many after two years

The reflection of the graph in the x-axis gives the function

g(x) = -x² - 3x - 2

The given function is of the form f(x) = x² + 3x + 2 which represents a parabola.

The vertex of the function is at (-3/2 , -1/4)

The focus is at ( 3/2 , 0 )

The axis of symmetry is 2x+3 = 0 and the directrix is at 2x + 1 = 0

Now when the parabola is reflected along the x-axis we get

the focus at ( -3/2 , 0 )

the vertex is at  (-3/2 , 1/4)

Axis of symmetry remains the same

The directrix becomes 2y-1 =0

The red graph denotes the function f(x) while the blue graph denotes the function g(x) reflected on the x-axis.

Hence the reflection on the x-axis gives the function g(x) = -x² - 3x - 2

To learn more about reflection visit:

https://brainly.com/question/13206012

#SPJ1

The greatest width possible in line is 0.8.

What is line?

a line is an infinitely long to the object with no width, depth, or curvature. Thus, the  lines are the one of one-dimensional objects, though they may exist on it  two, three, or higher of the  dimension spaces. The word line may also refer to a line are the segment in everyday life, which has two points to denote its ends.

Sol-As per the given question The line r has slope 8 and coordinate (0.8).

The slope of the line r will not change.

And intercept is the addition of their ordinate will be.

Intercept = 5+3

Intercept = 8

So, the line r has slope 8 and coordinate (0.8).

To know more about line click-

https://brainly.com/question/25810637

#SPJ1

Answer:50%

Step-by-step explanation: