Question in picture below.

[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc(\theta )-sin(\theta )~~ = ~~cot(\theta )cos(\theta ) \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )-sin(\theta )\implies \cfrac{1}{sin(\theta )}-sin(\theta )\implies \cfrac{1~~ - ~~sin^2(\theta )}{sin(\theta )} \\\\\\ \cfrac{cos^2(\theta )}{sin(\theta )}\implies \cfrac{cos(\theta )}{sin(\theta )}\cdot cos(\theta )\implies cot(\theta )cos(\theta )[/tex]

Answer:

the number will get 1000 times larger than its original number or 3 zeroes will be added in the last place of the number

Step-by-step explanation:

let's say x=5,

if we multiply 5 by 1000 it becomes 5000 (it is 1000 times more or larger than its orignal number and 3 zeroes are added in 5000).

Answer:

it has been multiplied by 3

Step-by-step explanation:

9 x 3=27

1 x 3=3

Answer:

Acute and Scalene

Step-by-step explanation:

The measurments of the triangle are all almost equal and all the angles are less than 90 degrees, so all of them are acute angles. The scalene triangle has almost all equal sides.

The possible way to classify the triangle by side and angle measurements is,

⇒ Acute and scalene.

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°.

Since, All the angles are less than 90 degree.

Hence, It shows the Acute angle.

Here, Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm.

Clearly, All the sides of triangle are not same in length.

Thus, It shows scalene.

Thus, The possible way to classify the triangle by side and angle measurements is,

⇒ Acute and scalene.

Learn more about the angle visit:;

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Answer:

Angle A.

Step-by-step explanation:

A angle is the greatest measure because it is the widest. The wider the angle the more the angle is.

Answer:

dont worry if people report you for a answer that is not right lol trust me i know

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The order of operation (PEMDAS) states that:

Given expression:

We can see that "-6" is the integer that is inside the parenthesis "( )". Therefore, we can open the parenthesis "( )".

Simplify the expression inside the curvy brackets "{ }" using PEMDAS.

Now we can open the curvy brackets "{ }".      

Simplify the expression inside the long brackets "[ ]" using PEMDAS.

Finally, open the long brackets "[ ]" and simplify the expression obtained.

[tex] {m}^{2} = 7 \times (7 + 11)[/tex]

[tex] {m}^{2} = 7 \times 18[/tex]

[tex] {m}^{2} = 126[/tex]

[tex]m = \sqrt{126} [/tex]

Based on the information provided, the mean number of people in a class is 21 people.

To calculate the mean number, the general formula is the total of people in the class/ number of classes.

Then, let's find the total of people in classes by adding the number of people that are in class every day:

13+23+24+31+14 =  105 people in total

Number of classes: 5 classes or 5 days

The mean number of people in a class: Divide the total of people by the number of classes

105 / 5 = 21 people per class in average

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Answer:

x=5

Step-by-step explanation:

6x-3=3x+12. Subtract 3x from both sides.

3x-3+12. Add 3 to both sides.

3x=15. Divide 3 from both sides.

x=5

Answer:

171 Square Feet

Step-by-step explanation:

We first cut the figure up into smaller parts...

we then use the formula (L x W = A) to find the area

L = Lenth

W = Width

the first rectangle (1)...

15 x 5 = 75

the second figure (2)...

8 x 9 = 72

the third figure (3)...

6 x 4 = 24

now we have to add up all the values to find the area of the entire figure...

75 + 72 + 24 = 171

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The observed and expected frequencies for Item 2 produced by Plant B will be 12 and 17.3.

It should be noted that observed frequency simply means counts that are made from experimental data.

Here, the observed frequencies for Item 2 produced by Plant B is 12. The expected frequency will be:

= (15 + 12 + 25)/3

= 52/3

= 17.3

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Answer: 4 units

Step-by-step explanation:

Answer:

c. 4 units

Step-by-step explanation:

Answer:

C but if its not correct pls tell me. :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula for volume is length × width × height

2×1×2= 4

3×1×1= 3

4×1×2= 8

3×1×3= 9

So D has the biggest volume.

x=-6.

x=-1.

Step-by-step explanation:

# Brainliest Bunch

Step-by-step explanation:

a man bought a second hand radio set for 180. he spend 45 for repair and sold it for 270 what was his profit percentage

The quadratic equation y = -x^2 - 4x - 3 has a degree of 2

The vertex of the function is (-2,1)

The equation of the function is:

y = -x^2 - 4x - 3

Differentiate

y' = -2x - 4

Set to 0

-2x - 4 = 0

Solve for x

x = -2

Substitute -2 for x in y = -x^2 - 4x - 3

y = -(2)^2 - 4(-2) - 3

y = 1

The above means that the vertex of the function is (-2,1)

See attachment for the graph of the function

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Answer:

(2,-3) and (49/29, -108/29)

Step-by-step explanation: Assuming this is an exam and time is limited, first you gotta sketch the circle for clarity. Using the standard circle equation

(x-a)^2 + (y-b)^2 = r^2

(x-1)^2 + (y+3)^2 =1

You can always expand to verify it gives x^2 + y^2 - 2x + 6y + 9=0

Now you know (a,b) which is also the center of the circle being= (1,-3) and the radius(r) = 1

Your first assumption here even without drawing the circle is that it has to be in the fourth quadrant meaning all values of x for any point of intersection on that circle has to be +ve. Looking at your answer choices only c with is (2,-3) and (49/29, -108/29) fulfills this hence it is your answer.

Also you have to realize point (2,-3) on the straight line has same y coordinates with center of this circle.

Using the permutation formula, as the order is important, it is found that there is a 0.000331 probability of selecting the balls in the desired order.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 balls will be taken from a set of 9, hence the total number of outcomes is:

[tex]P_{9,4} = \frac{9!}{5!} = 3024[/tex]

The desired outcome is only one, hence the probability is given by:

p = 1/3024 = 0.000331.

There is a 0.000331 probability of selecting the balls in the desired order.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

130 in^2.

Step-by-step explanation:

It has 8 faces

Surface area = 4*2 + 1*2 + 3*2 + 5*2 + 7*2 + 6*2 +  6*7-3 + 6*7-3

= 8+2+6+10+14+12+39+39

= 130 in^2.

Answer:

2x3=6.

so I think it is either 6 or 12

2x3=6

Answer:

it's 59 I hope this helps

Answer:

C

Step-by-step explanation:

Answer:

Domain:  0 ≤ x ≤ 50

Range:  0 ≤ y ≤ 100

Step-by-step explanation:

Information

Domain: set of all possible input values (x-values)

Range: set of all possible output values (y-values)

Closed circle: less than or equal to and greater than or equal to (≤ or ≥)

Open circle: less than or greater than (< or >)

Domain

From inspection of the diagram:

Therefore, the domain is:  0 ≤ x ≤ 50

Range

From inspection of the diagram:

Therefore, the range is:  0 ≤ y ≤ 100

Answer:

(π6x+21π)m²

Step-by-step explanation:

Solution,

For small circle

radius(r)=x+2

Area(A1)=πr²

Area(A1)=π×(x+2)²

Area(A1)=π×(x²+4x+4)

Area(A1)=πx²+π4x+4π

For big circle

radius(r)=x+5

Area(A2)=πr²

Area(A2)=π×(x+5)²

Area(A2)=π×(x²+10x+25)

Area(A2)=πx²+π10x+25π

Again,

Area of shaded part=A2-A1

Area of shaded part=πx²+π10x+25π-(πx²+π4x+4π)

Area of shaded part=πx²+π10x+25π-πx²-π4x-4π

Area of shaded part=π6x+21π

Step-by-step explanation:

i)

Consider the exponential equation

[tex]y = a {e}^{bt} [/tex]

Now Substitute these points to get a and b value

(0,37000) , (1,20350)

[tex]37000 = a \times {e}^{b \times 0} [/tex]

[tex]37000 = a \times 1[/tex]

Hence a=37000

Now Substitute t=1

[tex]20350 = 37000 \times {e}^{b \times 1} [/tex]

[tex] \frac{20350}{37000} = {e}^{b} [/tex]

[tex]0.55 = {e}^{b} [/tex]

[tex]b = log_{e}(0.55) = - 0.5978[/tex]

b≈(-0.6)

[tex]y = 37000 {e}^{ - 0.6t} [/tex]

is the required equation

ii)

[tex]y = 37000 {e}^{ - 0.6 \times 0.4} [/tex]

[tex]y = 37000 {e}^{ - 0.24} [/tex]

iii) it decreases by a factor of

[tex] {e}^{0.6} [/tex]

every decade

So the factor by which the price of car decreases every year is

[tex] {e}^{ \frac{0.6}{10} } [/tex]

as 1year =1/10 decade

Hence the required factor

[tex] {e}^{0.06} [/tex]

I hope it helped you

Answer:

938/969

Step-by-step explanation:

Got it right on edmentum

Answer:

Given that the area of the base is 440.4, all we would need to find out is the sum of all the areas of the triangles surrounding it.

Formula for area of a triangle:

A = BH x 1/2

Where 'B' represents the base, 'H' stands for the height, and 1/2 simply means to divide the product of those two lengths(base and height) by 2.

Plug in what we know:-

A = BH x 1/2

A = 16(20) x 1/2

A = 320 x 1/2

A = 320/2

A = 160 mm is the area of one triangle, but we want to know the area of all 5 triangles, so;

160(5)

= 800 mm is the area of all the triangles.

Now add the base area to the area of all the triangles.

440.4 + 800

= 1,240.4 mm.

Therefore the surface area of this pyramid is 1,240.4 mm.

Answer:

1240.4 mm²

Step-by-step explanation:

The surface area of a pyramid = Area of the all sides + Area of base

Each side is a triangle.

With a regular pentagonal pyramid, the area of each triangle is

A = 1/2 x base x slant height

For the 5 triangles,

A = 5 x 1/2 x base x slant height = 1/2 x 5 x slant height

Substitute values,

A = 5 x 1/2 x 16mm x 20mm = 800 mm²

Area of base = 440.4 mm²

Surface area of a pyramid = 800 + 440.4 mm² = 1240.4 mm²