The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting?
A 9 inches
В. 12 inches
C. 13 inches
D. 18 inches

Answer:

Step-by-step explanation:

I = 180-152-7 = 21°

Law of Sines:

g = h·sinG/sinH ≅ 38.5 cm

i = h·sinI/sinH = 29.4 cm

Use Heron's Formula to calculate the area from the lengths of the sides.

semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm

area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²

Answer:

[tex]4^{4}[/tex]×[tex]6^{2}[/tex]

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

Step-by-step explanation:

y2 - y1 / x2 - x1  

2 = 5 - y / (3 - 1)

4 = 5 - y

y = 1

So the line with slope 2 passes through the points (1,1) and (3,5).

Hope this helps!

Answer: the equation will be  y = 5/2x -5

Step-by-step explanation:

First find the slope of the line by finding the change in the y coordinates and diving it by the change in the x coordinates.

(6,10)

(4,5)  

5 - 10 = -5

4 - 6 =  -2

Slope: 5/2

(4,5)

(-2,-10)

-10 - 5 = - 15

-2-4= - 6

-15/-6 = 5/2

Now we know the slope is 2, so use the formula y=mx + b to solve for the y intercept which is b by using one of the given points.

y = mx + b

5 = 5/2(4) + b

5 = 10 + b

b =   -5

Answer:

Week one: 5$ off

Week two: 10$ off

Week three: 15$ off

Week four: 20$ off

Week five: 25$ off

Week six: 30$ off

30-5=25 There is a 25 dollar difference from week one and week six

Step-by-step explanation:

Answer:

Step-by-step explanation:

Whenever a problem asks for f(x+n) or really anything, you just plug it into the OG function

f(x+2) = 3(x+2) - 5

= 3x + 6 - 5

=3x + 1

Answer:

Hey Bud

your answer is x ≤ 8

Step-by-step explanation:

should be closed dot pointing to the negative numbers

Let's solve your inequality step-by-step

Step 1: Simplify both sides of the inequality.

Step 2: Add 13/5 to both sides.

Step 3: Multiply both sides by 5/(-4).

Answer:

The answer is B.

Step-by-step explanation:

From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.

Answer:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]

Required

Solve

Let

[tex]u = \frac{x^2}{4}[/tex]

Differentiate

[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]

[tex]du = 2 * \frac{x}{4}\ dx[/tex]

[tex]du = \frac{x}{2}\ dx[/tex]

Make dx the subject

[tex]dx = \frac{2}{x}\ du[/tex]

The given integral becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

Make [tex]x^2[/tex] the subject

[tex]x^2= 4u[/tex]

Square both sides

[tex]x^4= (4u)^2[/tex]

[tex]x^4= 16u^2[/tex]

Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]

Simplify

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

In standard integration

[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]

So, the expression becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

Answer:

d=1

e=4/9

f=16/81

Step-by-step explanation:

Substitute x in the right column with the values in the left column to find d, e, and f.

Answer:

d = 1

e = 4/9

f = 16/81

Step-by-step explanation:

d is 1 because any term raised to the power of zero equals one

e: (2/3)² = 2²/3² = 4/9

f: (2/3)^4 = 2^4/3^4 = 16/81

Answer:

D. 25p² - 1

Step-by-step explanation:

Each side length of a square = 5p

Length of rectangle = 5p + 1

Width of the rectangle = 5p - 1

Area of rectangle = Length × Width

Area of rectangle = (5p + 1)(5p - 1)

= 5p(5p - 1) +1(5p - 1) (distributive property)

= 25p² - 5p + 5p - 1

Area = 25p² - 1

Answer:

-4

Step-by-step explanation:

uts -4 I mean I don't have any explanation but yea. Tell me if it's wrong

Answer:

100

Step-by-step explanation:

1,200 - 700 = 500

500/5 = 100

Btw, uan got to, but I would really appreciate it if u marked me brainliest cuz I need one more nd I tried

Answer:

5351.2

Step-by-step explanation:

596 times 9 = 5364

64 divided by 5 = 12.8

5364 minus 12.8 = 5351.2

Answer:

A) 29

Step-by-step explanation:

Step 1: Find angle G

Since Sin(θ) = Opposite over Hypotenuse:

[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ

θ = 33.896°

Now repeat for just the smaller triangle:

[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]

Answer:

Isn't it 7:11 and 7 to 11

Step-by-step explanation:

Answer:

It Is!

Step-by-step explanation:

"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."

Answer:

Diagram 2, 12 foul balls

Step-by-step explanation:

12/3=4

12-4=8

The tip was $7.77

I hope this helped! please mark brainliest and vote 5 stars >:)

Answer:about 8 dollars

Step-by-step explanation:

Answer:

Standard Error

Step-by-step explanation:

The standard deviation is directly proportional to the sample standard deviation or standard error.

According to the relation :

Standard Error = standard deviation / sqrt(sample size)

Going by these relation an increase in the value of standard deviation will favor or increase the standard error withba constant Number of samples.

Therefore, overestimating the standard deviation will. Cause an increase in the standard error, while underestimating the standard deviation will also lower the standard error.

Answer:

c = 30m + 75

Step-by-step explanation:

Because the 75 dollars is only one time you add that to the total. Because it is 30 dollars PER MONTH and m is the number of months you would multiply those two in order to know how much you would be paying!

Hope this helps!

Answer:

29

Step-by-step explanation:

Answer:

x=5.25 or x=5 1/4

Step-by-step explanation:

These two angles are the same because they are vertical angles. We can write an equation to express this.

x+16=4x-5

Then solve.

x+16=4x-5

-x      -x

16=4x-5

+5     +5

4x=21

x=5.25 or 5 1/4

Answer:

98

Step-by-step explanation:

Formula Base * Height

7*14=98

Answer:

77 inches

Step-by-step explanation:

The formula for area of a trapezoid is [tex]\frac{b_{1} + b_{2}}{2} h[/tex]. In this case, first add base 1 (8) + base 2 (14) to get 22. Now divide 22/2 to get 11. Now multiply 11 by the height (7), to get 77 in.

Hope it helps!

Answer:

3x^2+6x^2= 9x^2

9x^2+4x^2

Step-by-step explanation: