Find the measures of the interior angles of the triangle

Answer:

[tex]\frac{2+\sqrt{3} }{4}[/tex]

Step-by-step explanation:

We can use the identity [tex]Cos^2(x)=\frac{1}{2}+\frac{1}{2}Cos(2x)[/tex] to write it as:

[tex]Cos^2(\frac{\pi}{12})=\frac{1}{2}+\frac{1}{2}Cos(2(\frac{\pi}{12}))\\=\frac{1}{2}+\frac{1}{2}Cos(\frac{\pi}{6})\\=\frac{1}{2}+\frac{1}{2}(\frac{\sqrt{3} }{2})\\=\frac{1}{2}+\frac{\sqrt{3} }{4}\\=\frac{2+\sqrt{3} }{4}[/tex]

Note: The value of [tex]Cos(\frac{\pi}{6})[/tex]  is  [tex]\frac{\sqrt{3} }{2}[/tex]

The answer is the 2nd one, [tex]\frac{2+\sqrt{3} }{4}[/tex]

Answer:

12

Step-by-step explanation:

12+15+10+11=48

48/4=12

Sum of all the data which is 12+15+10+11=48 then divide by how many data point which is 4

48/4 =12

Final answer:

To surround a circular garden with a 150-ft radius every 3 inches with flowers, calculate the garden's circumference using the formula C = 2πr, convert it to inches and divide by the spacing. You'd need approximately 3,768 flowers.

Explanation:

To calculate the number of flowers needed to surround a circular garden with a 150-ft radius spaced every 3 inches, you have to find the circumference of the garden and then determine how many 3-inch spaces fit along that circumference.

First, find the circumference (C) of the garden using the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius. In this case:

Convert 942 ft into inches because the spacing is in inches:

Now, divide the circumference in inches by the spacing to get the number of flowers:

Therefore, you would need 3,768 flowers to surround the garden spaced every 3 inches.

Answer:  [tex]a)\quad f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{3}}[/tex]

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

[tex]y=3x^3-5\\\\\text{Swap the x's and y's:}\\x=3y^3-5\\\\\text{Add 5 to both sides:}\\x+5=3y^3\\\\\text{Divide both sides by 3:}\\\dfrac{x+5}{3}=y^3\\\\\\\text{Take cubed root of both sides:}\\\sqrt[3]{\dfrac{x+5}{3}}=y[/tex]

Add 0.95 0.35 and 0.20 and if it’s less than 1.35 it’s ur answer but if 1.35 is less, than that’s ur answer

Answer:

Step-by-step explanation:

Cost of items =$0.95+$0.35+$0.20=$1.50

Plate cost=$1.35

Plate is less expensive way to buy items

Answer:

82 toys per day

Step-by-step explanation:

492 divided by 6 = 82 (toys)

6 divided by 6 = 1 (days)

492/6 = 82/1

Answer:

a

Step-by-step explanation:

Answer:

6³/₁₀

Step-by-step explanation:

Number of bits = Total amount/Size of each bit

                         = (4⅕)/(⅔)

Convert the mixed number to an improper fraction

No. = (²¹/₅)/(⅔)

Invert the denominator and change division to multiplication

No. = ²¹/₅ × ³/₂

Multiply numerators and denominators.

No. = ⁶³/₁₀

Convert the improper fraction to a mixed number.

No. = 6³/₁₀

It takes 6³/₁₀ ⅔s to make up 4⅕.

Answer: The answer is around 16.66%

Answer:

Step-by-step explanation  

The first step you have to get it into this form

a[tex]x^{2}[/tex] + bx + c

So that would be

3x[tex]x^{2}[/tex] + 1x + c

we do not know what c is

we have to get x by it self from 3x[tex]x^{2}[/tex] so first you have to square it now we are at 9x

    9x divided by 9 that would leave us with x

so our finished product is x + 1x + c  

we have to get x by itself from 1x so we do exactly what we just did 1x divided by 1x would leave us with x

x + x=[tex]x^{2}[/tex] + x

[tex]x^{2}[/tex] + c is the finished product which is your answer

Answer:

The graph attached

y ≤ 6 - x

x ≤ 4

Step-by-step explanation:

∵ x + y ≤ 6

∴ y ≤ 6 - x

* Lets draw the line y = 6 - x

* Assume that:

· x = -1 ⇒ y = 7 ⇒ (-1 , 7)

· x = 0 ⇒ y = 6 ⇒ (0 , 6)

· x = 1 ⇒ y = 5 ⇒ (1 , 5)

· x = 2 ⇒ y = 4 ⇒ (2 , 4)

* Plot the points on the graph and make the line sold ( ≤ )

* Shade all the region under the line

∵ x ≤ 4

* Lets draw the line x = 4

* All the points on this line have x-coordinate = 4 (vertical line)

* Draw a vertical line on x = 4 the line is sold (≤)

* Shade all the region left to the line

* The solutions of this system of equations will be on the

  common shaded

  parts of the two lines (red and blue together)

Answer:

131.95in^2

Step-by-step explanation:

The formula for surface area in a cylinder is A = 2pi*r*h + 2pi*r^2

The radius in this cylinder is half the diameter in the cylinder which is 6, so the radius is 3.

The height is 4 since it is given.

Then we just plug the values into the equation and we get a surface area around 131.95in^2

Answer:

The answer is C. 132 [tex]in^{2}[/tex]

Step-by-step explanation:

Remember: If the answer is not there, check your work or round up! :)

The range is from 4 to 17.

When you are identifying a range you need to identify the highest and lowest number. This is your range because all of the other numbers are between the identified two.

Answer:

Step-by-step explanation:

4 to 17.. that is the answer to ur question love.

Answer:

D

Step-by-step explanation:

We will use the radical property  [tex]\sqrt{a*b} =\sqrt{a} \sqrt{b}[/tex]  to simplify this.

The problem is  [tex]\sqrt{169*x^5}[/tex]

We can simplify this as:

[tex]\sqrt{169*x^5} \\=\sqrt{169} \sqrt{x^5}[/tex]

Now we can use the property of radicals,  [tex]\sqrt[n]{x^a} =x^{\frac{a}{n}}[/tex]  , to write as:

[tex]\sqrt{169} \sqrt{x^5} \\13*x^{\frac{5}{2}}[/tex]

D is right answer.

Answer:

d. [tex]13x^{\frac{5}{2}}[/tex]

Step-by-step explanation:

The given expression is

[tex]\sqrt{169x^5}[/tex]

We can rewrite this as

[tex]\sqrt{169}\times \sqrt{x^5}[/tex]

We rewrite as a rational exponent to obtain;

[tex](13^2)^{\frac{1}{2}}\times (x^5)^{\frac{1}{2}}[/tex]

Recall that;

[tex](a^m)^n=a^{mn}[/tex]

[tex]13^{(2\times \frac{1}{2})}\times (x)^{5\times \frac{1}{2}}[/tex]

[tex]13^1 (x)^{\frac{5}{2}}[/tex]

The correct choice is D

[tex]13x^{\frac{5}{2}}[/tex]

Answer:

Option C. [tex]15[/tex]

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]T(13,2)\ W(x2,-5)[/tex]

[tex]m=-\frac{7}{2}[/tex]

Substitute the values  and solve for x2

[tex]-\frac{7}{2}=\frac{-5-2}{x2-13}[/tex]

[tex]-\frac{7}{2}=\frac{-7}{x2-13}[/tex]

equate the denominators

[tex]x2-13=2\\x2=2+13\\ x2=15[/tex]

Answer:

The answer is C-15

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

We have the equation in point-slope form:

[tex]y+7=-\dfrac{2}{5}(x-10)[/tex]

Convert it to the standard form:

[tex]y+7=-\dfrac{2}{5}(x-10)[/tex]     multiply both sides by 5

[tex]5y+35=-2(x-10)[/tex]         use the distributive property a(b + c) = ab + ac

[tex]5y+35=(-2)(x)+(-2)(-10)[/tex]

[tex]5y+35=-2x+20[/tex]          subtract 35 from both sides

[tex]5y=-2x-15[/tex]            add 2x to both sides

[tex]2x+5y=-15[/tex]

Answer:

x = − 15 − 8 y

y=-7/8x-19/8

Step-by-step explanation:

If you are trying to solve for x the answer for first problems is

x = − 15 − 8 y

second problem the slope intercept form is:

y=-7/8x-19/8

I'm not sure exactly what you are looking for but I hope that is it.

Answer:

Step-by-step explanation: It is 1/2 of 14 = 7 hours to the moot

And plug in 7 hours to the equation  4*7+14*7=126 divide that by 2 and the distance is 63

That decimal would be -.875

Hey there!

In order to find the decimal divide the numerator (top number) from the denominator (bottom number)

~ -7 ÷ 8 = 0.875 (as a decimal)

~ Thus your answer will most likely be, -0.875

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

The answer is 100 oz

Step-by-step explanation:

HOPE THIS HELPS YOU

Answer:

[tex]\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}[/tex]

Step-by-step explanation:

The given polynomial function is

[tex]f(x)=5x^3-7x+11[/tex]

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

[tex]\pm\frac{11}{1}=\pm11[/tex]

[tex]\pm\frac{1}{1}=\pm1[/tex]

[tex]\pm\frac{11}{5}[/tex]

[tex]\pm\frac{1}{5}[/tex]

Answer:

Step-by-step explanation:

assuming that the X is a multiplication symbol and not a variable, because the multiplication symbol is * not x, 5*5/2*7=25/14=1 and 11/14

30% chance of losing money.

40% chance of breaking even

Added together  = 70% of not making any money or losing money.

Only a 30% chance of making money.

The company should not invest, since they only have a 30% chance of making money.

Answer:

6 and 7

Step-by-step explanation:

because 65/10 equals 6.5

Answer:

It lies between 6 and 7

Answer:

you have 10 shirts in all to choose from

Step-by-step explanation:

if ur picking a shirt then  you will have 10 all together.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is 8/10, 4/5, or 80%.

Since there are 8 blue shirts out of 10 shirts, you have a 8/10 chance to pick a blue shirt. Since this is probability, it is best to show it in percent and decimal form too.

8/10=80%=0.8 chance

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Answer:

0.00333

Hope that helps.

Answer:

[tex]y - 3 = \frac{1}{4}(x+2)[/tex] or choose any line with slope 1/4

Step-by-step explanation:

The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.

Write the equation using the slope m=1/4 and the point slope form.

[tex]y-y_1=m(x-x_1)\\y-3=\frac{1}{4}(x+2)[/tex]

This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.

Answer:

[tex]y=\frac{1}{4} x+c[/tex]   where [tex]c[/tex] can be any number.

Step-by-step explanation:

First we need to clear for y:

[tex]y-3 =-4(x+2)\\y=-4(x+2)+3\\y=-4x-8+3\\y=-4x-5[/tex]

and now we have an equation of the form:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

in this case [tex]m=-4[/tex] and [tex]b=-5[/tex]

to find and equation perpendicular to this line, the following must be true:[tex]m*m_{1}=-1[/tex]

where m is the slope of the original line that i just mentioned, and [tex]m_{1}[/tex] is the slope of the new line. Substituting [tex]m=-4[/tex]

[tex]-4*m_{1}=-1[/tex]

clearing for [tex]m_{1}[/tex]

[tex]m_{1}=\frac{-1}{-4} \\m_{1}=\frac{1}{4}[/tex]

thus, the new perpendicular line must have the form:

[tex]y=m_{1}x+c\\y=\frac{1}{4}x+c[/tex]

where the y-intecept [tex]c[/tex] can be any number, some examples are:

[tex]y=\frac{1}{4}x+3\\y=\frac{1}{4}x-8[/tex]

and so on, the important thing to be a perpendicular line is that the slopes are related to the equation [tex]m*m_{1}=-1[/tex].

in degrees the answer is 30° since a full rotation is 360°, divide by 12 and 1/12 of a full rotation is 30°

1/12 of a full rotation in mathematics refers to an angle of 30 degrees. This is calculated by dividing the full rotation (360 degrees) by 12. For example, each hour on a clock represents 1/12 of a full rotation.

In Mathematics, a full rotation is defined as 360 degrees. Therefore, to find 1/12 of a full rotation, you would divide 360 by 12. This results in 30 degrees. Hence, 1/12 of a full rotation refers to an angle of 30 degrees in a circular motion. This concept is often applied in geometry and other mathematical applications. For instance, imagining a clock, where each hour signifies 1/12 of a full rotation. The difference in the angle from 12 to 1 on the clock is therefore 30 degrees.

https://brainly.com/question/32998307

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Answer: 2625

Let’s say you multiply 5 giraffes by 75 pounds = 375lbs 5 giraffes eat a day multiply the 5 giraffes and they answer should be 2625lbs

the First one witch for me is six (6)

Answer:

y = 40

Step-by-step explanation:

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides.

y - 4 = 36

y - 4 (+4) = 36 (+4)

y = 36 + 4

y = 40

Check. Substitute 40 for y.

Plug in 40 for y.

y - 4 = 36

(40) - 4 = 36

36 = 36 (True).

~

Answer:

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex]x^2+y^2=64\\\\(x-0)^2+(y-0)^2=8^2[/tex]

Therefore the center is (0, 0) and the radius r = 8

Answer:

The circles radius is 8

Step-by-step explanation:

It is 8 because that's what they say it is

Answer:

[tex]V = 25d ^ 3 + 275d ^ 2 + 250d[/tex]

Step-by-step explanation:

If the pool has a rectangular shape then its volume can be written as:

V = Width * Length * Depth

Let's call:

w = width

l = length

d = depth.

So we know from the statement of the problem that:

[tex]d = d[/tex]

[tex]w = 5 + 5d[/tex]              (5 feet more than 5 times the depth)

[tex]l = 50 + 5d[/tex]              (50 feet more than 5 times the depth)

Then, the volume can be written according to the depth as:

[tex]V = d(5 + 5d)(50 + 5d)[/tex]

[tex]V = d[250 + 25d + 250d + 25d ^ 2][/tex]

[tex]V = 25d ^ 3 + 275d ^ 2 + 250d[/tex]

The volume of the swimming pool is represented by the expression V = (5d + 50)(5d + 5)(d), where d is the depth of the pool.

The student is asked to find a simplified expression to represent the volume of the swimming pool, with the pool's depth given as d feet. To calculate the volume, we need to find the dimensions for the width and length of the pool. The width is described as 5 feet greater than 5 times its depth, which translates to

5d + 5 feet.

The length is 50 feet greater than 5 times its depth, so it will be

5d + 50 feet. The volume (V) of a rectangular solid is given by the product of its length (L), width (W), and depth (D), so the volume of this swimming pool is

V = LWD = (5d + 50)(5d + 5)(d).