Please answer quick! The question is in a file down below.

Hello!:

Let's take this problem in steps:

   [tex]sinx-\sqrt{3-3sin^2(x)}=0\\\\\text{We know that } sin^2(x) + cos^2(x)=1 \text{ and that } cos^2x=1-sin^2(x)\\\\sin(x)-\sqrt{3(1-sin^2(x))}=0\\\\sin(x)-\sqrt{3*cos^2(x)}=0\\\\sin(x)-\sqrt{3}*cos(x)=0[/tex]

Now we need to find the value of sin(x) and cos(x) where the value becomes zero:

  --> and it so happens to be:

        [tex]sin(30)=\dfrac{1}{2} \\\\cos(120)=\dfrac{\sqrt{3}}{2}[/tex]

Thus:

 [tex]sin(30)-\sqrt{3}*cos(120)=0\\\\\dfrac{1}{2} -\sqrt{3}*\dfrac{\sqrt{3} }{2} =0\\\\\\\dfrac{1}{2} -\dfrac{1}{2} =0\\\\0=0[/tex]

Answer: (B)

The ratio of nuts to fruits is 5 : 1 and for every 5 cups of nuts, there is 1 cup of dried fruit cup.

Given is that a granola recipe calls for 3 cups of oats, 1 cup of almonds. 1 cup of pecans, and 1 cup of dried fruit

The ratio of nuts to fruits is -

r = (3 oat cups + 1 almond cup + 1 pecan cup)/(1 dried fruit cup)

r = 5/1

5 : 1

For every 5 cups of nuts, there is 1 cup of dried fruit cup.

Therefore, the ratio of nuts to fruits is 5 : 1 and for every 5 cups of nuts, there is 1 cup of dried fruit cup.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

Answer:

ITS 64 degrees

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

hope this helps:)..........

The formula for the third side of a triangle, given the lengths of two other sides and the angle between them, is:

side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))

The formula for the third side of a triangle, given the lengths of two other sides and the angle between them, is:

side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))

This formula is derived from the Law of Cosines, which states that the sum of the squares of any two sides of a triangle is equal to the square of the third side, minus twice the product of those two sides multiplied by the cosine of the angle between them.

In other words, the formula states that:

side_3^2 = side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle)

which is then solved for side_3 by taking the square root of both sides. Thus, the formula for the third side can be written as:

side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))

Learn more about third side here

https://brainly.com/question/29128142

#SPJ4

The triangle with sides of length 5 cm 3 cm and 4 cm is a right angled triangle because (3, 4, 5) is a Pythagorean triple.

We know that if non zero real numbers a, b, c follows Pythagoras theorem  c² = a² + b², the numbers a, b, c is called as a Pythagorean triple.

And these numbers are nothing but the sides of right triangle.

Here we have been given the triangle with sides of length 5 cm 3 cm and 4 cm

Assume that p = 5 cm, q = 3 cm and r = 4 cm

p² = 25

q² = 9

and r² = 16

Consider q² + r² = 16 + 9

q² + r² = 25

q² + r² = r²

Since given numbers follows Pythagoras theorem, (3, 4, 5) is a  Pythagorean triple.

And p = 5 cm, q = 3 cm and r = 4 cm are the lengths of sides of right triangle.

Learn more about Pythagorean triple here;

https://brainly.com/question/15190643

#SPJ4

Answer: To find the height of the goalpost, we can use the information provided in the problem and the concept of similar triangles. Since Violet is looking down at the mirror, the line of sight from her eyes to the top of the goalpost forms a right angle with the ground. This right angle creates two similar triangles, one between her eyes, the ground, and the top of the goalpost, and the other one between the mirror on the ground, the goalpost, and a point on the ground that is the same distance from the mirror as the top of the goalpost is from Violet's eyes.

Since similar triangles have the same angle measures, we can set up the following proportion:

(distance from mirror to point on the ground) / (distance from mirror to top of goalpost) = (distance from Violet's eyes to ground) / (height of goalpost)

We can now use the information provided in the problem to solve for the height of the goalpost.

(6.65+4.25)/x = 1.75 / H

x = (6.65+4.25) * (1.75/H)

Where x is the distance from mirror to top of the goalpost.

Substitute the known values and solve for H

H = 1.75*(6.65+4.25) / x = 1.75*10.9 / x

We know that x = 4.25, so

H = 1.75*10.9 / 4.25 = 4.093 m

The height of the football goalp

Step-by-step explanation:

On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Total Surface Area = 2(lw + bw + lb)

Total Surface Area = [tex]2(24 + 30 + 20)[/tex]

Total Surface Area = [tex]148cm^2[/tex]

To know more about surface area visit:

https://brainly.com/question/2835293

#SPJ1

On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²

what is surface area ?

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Total Surface Area = 2(lw + bw + lb)

Total Surface Area = - 148cm²

To know more about surface area visit:

brainly.com/question/2835293

#SPJ1

The equation can be written using the arithmetic operation and the cost is

$32.91.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The cost for each roses, bows and vases are given as $1.99, $0.99 and $7.99 respectively.

Then, the equation for the total cost is as below,

⇒ 3 × 1.99 + 3 × 0.99 + 3 × 7.99 = 32.91

Hence, the equation for the cost is given in the answer part and the cost is $32.91.

To know more about arithmetic operation click on,

https://brainly.com/question/25834626

#SPJ1

On solving the provided question we can say that - Height(h) = h; Radius(r) = r; Length(l) = l Volume of cylinder A(V)=Volume of cylinder B(v) => [tex]4\pi R^2H = \pi r^2h[/tex]

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

Cylinder A

Height(h) = H; Radius(r) = 2R; Length(l) = L

Cylinder A

Height(h) = h; Radius(r) = r; Length(l) = l

Volume of cylinder A(V)=Volume of cylinder B(v)

[tex]4\pi R^2H = \pi r^2h[/tex]

To know more about cylinder visit:

https://brainly.com/question/3216899

#SPJ1

So, y = ab^x and y = ac^x are the exponential functions to represent the spread of Ben's and Carter's social media posts respectively.

An exponential function has the form y = ab^x, where a and b are constants and x is the independent variable (in this case, time).

For Ben's social media posts:

y = ab^x

For Carter's social media post:

y = ac^x

Please note that the value of a, b, and c will be different for Ben and Carter's post, as it will depend on the number of shares, likes, views, etc., and the rate of spread of the post.

This is an exponential function that represents the spread of Ben's social media posts and  Carter's social media post.

Complete Question:

1. Write an exponential function to represent the spread of Ben's social media post 2. Write an exponential function to represent the spread of Carter's social media post. 3. Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology. 4. Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers 5. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is   . How does this graph compare with the original graph of Amber's photo share? 6. Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions? 7. If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions

To learn more about exponential function

visit; brainly.com/question/14355665

#SPJ4

Answer: The Gradient of line A and B are

2 and -1

Step-by-step explanation:

For the given two points A(x1, y1) and B(x2, y2)

The gradient of the line AB is y2-y1/x2-x1

So the gradient of line A is

5-1/2-0

2

the gradient of line B is

5-0/0-5

-1

Answer:

x = 9

Step-by-step explanation:

18 + x = 27

x = 27 - 18

x = 9

Answer:The answer to your question is 5

The left Riemman sum approximation for f(x) = x^5, between x = 0 and x = 5, considering 5 intervals, is given as follows:

5.3248.

First we must obtain the Delta value, which is the difference between the bounds of the integral, divided by the number of integrals, thus:

[tex]\Delta_x = \frac{b - a}{n} = \frac{2 - 0}{5} = 0.4[/tex]

Then the values of x at which the numeric values are calculated are obtained as follows:

[tex]x_i = a + \Delta_x(i - 1)[/tex]

Thus the values of x are of:

The numeric values are given as follows:

Then the Riemann sum approximation for the integral is given as follows:

[tex]\sum_{i = 1}^{n} \Delta_x f(x_i)[/tex]

Thus:

0.4(0 + 0.01024 + 0.32768 + 2.48832 + 10.48576) = 5.3248.

More can be learned about Riemann sum approximation at https://brainly.com/question/7229305

#SPJ1

Rate of speed of each cyclist is:

Alisha 10mi/hr

Jose 15mi/hr

Raul 10mi/hr

Ruthie 16mi/hr

Data given of each cyclist;

Formula used: [tex]r=\frac{d}{t}[/tex]

here,

r=rate of speed

d=distance

t=time

Alisha: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]

Jose: Distance=30mi; Time=2hr

applying the formula

[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]

Raul: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]

Ruthie: Distance=80mi; Time=5hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]

Alisha= 10mi/hr

Jose= 15mi/hr

Raul= 10mi/hr

Ruthie= 16mi/hr

Learn more about speed-time relation:

https://brainly.com/question/26862717

#SPJ4

Answer:

hypotenuse,adjacent and opposite

Answer: 718

Step-by-step explanation:

The formula for determining the cost of the cell phone bill (when more than the base number of minutes is used) is

c=p+(m−b)r

Where:

c is the total cost of the bill: $48.10 for this problem.

p is the base price of the plan: $40 for this problem.

m is the number of minutes used: what we are solving for this problem.

b is the base number of minutes allowed: 700 for this problem

r is the rate for additional minutes: 0.45 for this problem

Substituting and solving for m gives:

$48.10 = $40.00 + (m − 700)$0.45

$48.10 − -$40- = $40.00 − -$40- + (m − 700)$0.45 $8.10= 0 + (m−700)$0.45

$8.10 = (m - 700)$0.45

$8.10 = ($0.45 × m) − ($0.45 × 700)

$8.10 = $0.45m − $315.00

$8.10 + -$315.00- = $0.45m − $315.00 + -$315.00-

$323.10 = $0.45m − 0

$323.10 = $0.45m

[tex]\frac{323.10}{-0.45-}=\frac{0.45m}{-0.45-}[/tex] (Money)

[tex]\frac{323.10}{0.45}=\frac{0.45m}{0.45}[/tex] (Money): cross out the dollar sign for 323.10 and 0.45 under it... then cross out 0.45m but leave the m, and then cross out 0.45 under it.

[tex]\frac{323.10}{-0.45-}=m[/tex]

718 = m

m = 718

John used 718 total minutes during the month.

The statement "it is not the case that p and q are both true" is made in the negation of p ^ q.

As a result, when p q is true, that is, when one or both of p and q are true, (p q) is true precisely. The sentence is only untrue when both p and q are true. The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "~P" is the statement's negation.

The words "~" or "¬" are used to denote a statement's denial.

To learn more about negation here:

https://brainly.com/question/22787240

#SPJ4

The circumference of the circle is 43.98 in.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more generally referred to as the perimeter.

Given:

Pia drew a circle with a circumference of C and a diameter of 14 in

We have to find the circumference of the circle.

Since,

Circumference = 2*π*r

Here

Diameter of circle = 14 in.

⇒ Radius of circle = 7 in.

⇒ Circumference = 2*π*7 = 43.98 in.

Hence, the circumference of the circle is 43.98 in.

To know more about circumference, click on the link

https://brainly.com/question/27447563

#SPJ4

The total amount for Elizabeth's purchase after 10 percent discount on her total bill is 33 dollars and 84 cents which is equivalent to 34 dollars.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Elizabeth bought the grocery for a total of 37 dollars and 60 cents.

She has a coupon of 10% discount.

Which means, she can get 10% discount on her total bill.

The amount of her total bill is $37.60.

So, calculate using percentage, the value of 10% of $37.60.

=(10 × 37.60/100)

= 376/100

= 3.76

So, Elizabeth would get a discount of $3.76 on her total bill -

= 37.60 - 3.76

= 33.84

Therefore, after the discount Elizabeth's total bill is $33.84 ≈ $34.

To learn more about percentage from the given link

https://brainly.com/question/24304697

#SPJ4

It is Justified that P and Q are different point.

The coordinate plane where a location of a point is represented in the form of X and Y coordinate pair, is termed as cartesian plane. In this plane two reference axes are used which are perpendicular to each other.

In the question, two-point P (3, 2) and Q (2, 3) are given. As per the cartesian coordinate system a location of a point is represented by a pair of numerical terms. The first numerical terms denote the X coordinate of the point, and the next terms refers the Y coordinate of that point.

Therefore, P and Q are two different points on the cartesian plane. The point p (3, 2) where 3 is the X coordinate and the distance from Y axis is 3 and 2 is the Y coordinate and distance from X axis is 2.

Similarly for the point Q (2, 3), 2 denotes the X coordinate of the point Q and 3 is the Y coordinate.

To learn more about coordinate system visit:

https://brainly.com/question/11657509

#SPJ4

In order to find the negation of an expression we simply put the not operator in front of them . Therefore, the negation of ∃ is that â is not ^ to f.

The term negation means opposite , that is the negation of a statement is the opposite of the given mathematical statement. If we will take the example of P , let P be a statement, then the negation of P will be represented by ~P.

There are two  symbols which are  used to represent the negation of a statement which are “~” or “¬”. Therefore, ~P is known as the negation of P.

To learn more about negation

brainly.com/question/22787240

#SPJ4

[tex] \longmapsto \: 7x + 5x + 2x = 35820 \\ \\ x = \frac{35840}{14} = 2560[/tex] length equals to 7 into 2560 = 1792

Nate's car was filled with 16 gallons of gas.

The concept is used in this is equations. An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. An equation is the set of variables, constants, and mathematical operations like addition, subtraction, multiplication, or division balanced by an equal sign. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.

As gas is $2. 09 per gallon at the gas station.

$2. 09 → per gallon

and Nate filled up his car and spent $33. 44.

$33. 44 for fully filled → how many gallons ?

So,

33.44 / 2.09 = 16 gallons.

Therefore, Nate filled 16 gallons gas in his car.

To learn more about equations visit : brainly.com/question/1566730

#SPJ4

The measure of angle ABC means, vertex B lies in between A and C, whose value is to be obtained.

Whenever two straight lines as well as rays intersect at a single endpoint, an angle is created. The vertex of the an angle is the location where two points come together.

Thus, the measure of angle ABC means, vertex B lies in between A and C, whose value is to be obtained.

To know more about the angles, here

https://brainly.com/question/25716982

#SPJ4

Answer:

that is the persons username I got it from

Step-by-step explanation:

3 and 7

6 and 14

9 and 21

12 and 28

15 and 35

Step-by-step explanation:

If the two numbers they give you are 9 and 21, then the cranberry's are 3 ounces and the apples are 7 fliud ounces, then you can divide and multiply them to your will.

The function [tex]$$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$[/tex]  is continuous on (-∞, ∞).

As per the given data the function f(x) is given by:

[tex]$$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$[/tex]

Here we have to determine that the function f(x) is continuous on (-∞, ∞)

If we show that f(x) is continuous at x = 1 then f(x) is continuous on (-∞, ∞)

What are continuous function?

A continuous function in mathematics is one where changes in the parameter cause constant changes in the function's value (i.e., a change without a leap). This shows that there are no abrupt changes in value or discontinuities.

To show f(x) is continuous at x = 1

[tex]\lim _{x \rightarrow 1^{-}} f(x)=\lim _{x \rightarrow 1^{+}}[/tex] f(x)

[tex]\rightarrow \lim _{x \rightarrow 1^{-}} f(x) & =\lim _{x \rightarrow 1^{-}}\left(1-x^2\right) \\[/tex]

= 1 - 1

= 0

[tex]\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{+}} \ln (x) \\[/tex]

= ln 1

= 0

Therefore  [tex]\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{-}} f(x)-0[/tex].

Hence f(x) is continuous on (-∞, ∞)

For more questions on Limits

https://brainly.com/question/20067425

#SPJ4