The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?​

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

[tex]\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

[tex]\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta[/tex]

Simplify. The denominator uses the difference of two squares pattern:

[tex]\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta[/tex]

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

[tex]\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]

Split into two separate fractions:

[tex]\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta[/tex]

Rewrite the two fractions:

[tex]\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta[/tex]

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

[tex]\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta[/tex]

Hence verified.

Answer:

137.16

Step-by-step explanation:

we have a formular of the area of a sector:

S= pi*(its angle)/360*R^2

so apply to it

S= pi*(93/360)*13^2=137.16

Answer:

a. 1 yard:3 feet

b. 3 feet:1 yard

c. Sean ran exactly a mile

Step-by-step explanation:

For a and b there are 3 feet in a yard

For c a mile is exactly 5280 feet

Answer:

A: 3 : 1

B: 1 : 3

C: less

Step-by-step explanation:

A: There are 3 feet in a yard, so feet: yard would be 3:1

B: For every yard, there are 3 feet, so th ratio would be 1:3

C: Sean ran 1,600 yards. To convert this into feet, multiply by 3. He ran 4,800 feet. Since 4,800 < 5,280, he ran less than a mile

Answer:

see below

Step-by-step explanation:

Complements add to 90 degrees

x+40 = 90

x = 90-40

x = 50

Supplements add to 180

y+63 =180

y = 180-63

y = 117

If the sum of the measures of two angles is 90° they are known as complementary angles.

According to the question

⇨x + 40° = 90°

⇨x = 90° - 40° [Subtract]

⇨x = 50°

Complement angle is 50°

If the sum of the measures of two angles is 180° they are known as supplementary angles.

According to the question

⇛x + 63° = 180°

⇛x = 180° - 63° [Subtract]

⇛x = 117°

Supplement angle is 117°

If the sum of the measures of two angles is 90° they are known as complementary angles.

According to the question

⇛x + 40° = 90°

⇛x = 90° - 40° [Subtract]

⇛x = 50°

Complement angle is 50°

If the sum of the measures of two angles is 180° they are known as supplementary angles.

According to the question

⇨x + 63° = 180°

⇨x = 180° - 63° [Subtract]

⇨x = 117°

Supplement angle is 117°

9514 1404 393

Answer:

  18a +42ax +24az

Step-by-step explanation:

6a(3 +7x +4z) = 18a +42ax +24az

__

Additional comment

In order for 6a to be the GCF, the terms inside parentheses cannot have any common factors.

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex] , then

C = [tex]tan^{-1}[/tex] ([tex]\frac{c}{a}[/tex] )

Answer:

P (−1)n(n+1)(n+2) (n+1)3 converges

Step-by-step explanation:

Answer:

148°

Step-by-step explanation:

The central angle is twice the angle at the circumference, subtended on the same arc.

shaded angle = 2 × 74° = 148°

Answer:

True.

Step-by-step explanation:

Answer: False

==========================================================

Explanation:

Let's consider a prism that has dimensions of  

and we'll say that the base is a rectangle with length L and width W. The area of the base is L*W = 3*4 = 12 sq ft. The volume of this prism is L*W*H = 3*4*5 = 60 ft^3

If we double the area of the base, then we go from 12 ft^2 to 24 ft^2. If we double the height, then we go from 5 ft to 10 ft.

The new volume of this larger prism is (area of base)*(height) = (24)*(10) = 240 ft^3

The jump from 60 ft^3 to 240 ft^3 is not "times 2". Instead, the multiplier is 240/60 = 4. This example shows that the volume has been quadrupled.

Answer:

-x^8+10x^3-7x^2+7x+15

Step-by-step explanation:

-7x+10x^3-7x^2-x^8+15

Standard form is from highest power to lowest power of x

-x^8+10x^3-7x^2+7x+15

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

Given formula

P = 2 (w + l)

Substitute the value into the formula

36 = 2 (w + 3w - 2)

Simplify values in the parentheses

36 = 2 (4w -2)

Divide 2 on both sides

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

Add 2 on both sides

18 + 2 = 4w - 2 + 2

20 = 4w

Divide 4 on both sides

20 / 4 = 4w / 4

w = 5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

is it 15.8

Step-by-step explanation:

Answer:

x = 136

Step-by-step explanation:

x and 44 are same- side interior angles and sum to 180° , that is

x + 44 = 180 ( subtract 44 from both sides )

x = 136

Answer:

Tanya is reflect y axis and then 90 degrees.  

Kurt is reflect over y=x

Have an amazing day! Hope This Helps :)

Answer:

90 and 90

Step-by-step explanation:

If they are perpendicular it means they cross at a 90 degree angle so since both L and M are perpendicular to N both the answers would be 90

Hope This Helps :)

Answer:

I would say 90 degrees for both, simply because it's not perpendicular if the angle isn't 90 degrees.

Step-by-step explanation:

PLease don't forget to give brainliest!

Answer:

72/8=9 im not sure which it is asking for

Step-by-step explanation:

we know that Jenny has 72 stickers with 8 stickers on each page. so therefore the the 72 stickers have been divided by 8 to fit onto 9 pages.

Answer:

9 pages of stickers

Step-by-step explanation:

72 / 8 = 9 pages of stickers

Answer:

25

Step-by-step explanation:

6x³-(k+6)x²+2kx-25

2x-5=0

2x=5

x=5÷2=2.5

6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0

(6×15.625)-(6.25k+37.5)+(5k)-25=0

93.75-6.25k-37.5+5k-25=0

93.75-37.5-25=6.25k-5k

31.25=1.25k

k=25

Answer:

area of base = pi x radius^2 = (ill use 3.14 as pi)

3.14 x 7^2 = 153.86 in^2

height = 12

circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in

surface area = perimeter of base x height (lateral area) + 2 x area of base

= 43.96 x 12 = 527.52 + 2(153.86) = 835.24

hope that answers your question

(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)

Answer:

(-18, 0)

Step-by-step explanation:

The x intercept has a y value of 0. So, to find the x intercept, plug in 0 as y into the equation, and solve for x:

y = 2/3x + 12

0 = 2/3x + 12

-12 = 2/3x

-18 = x

So, the x intercept is (-18, 0)

Answer:

salini -= 5 years

mother = 40years

Step-by-step explanation:

[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]

[tex]5 = x[/tex]

then you equate the values of x

Answer:

Answer:

B. slope 1/4, y-intercept at ( 0, 5)

Step-by-step explanation:

slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4

the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)

we are given that one of the points is (x=0, y=5) so this is our y-intercept

OR

the slope intercept form equation of a line y= mx+b, where b is the y-intercept

y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5

5 = (1/4)*0 +b

5 = b

- Hey Risap! :)

[tex] \large{ \tt{❁ \: ANSWER : \boxed{ \tt{25\%}}}}[/tex]

[tex] \large{ \tt{♕ \: REFER \: TO \: THE \: ATTACHMENT \: !!}}[/tex]

Answer:

A correlation coeff close to +1 would have a positive slope, and all dots representing the data set would be quite close to the regression line.  

Correlation is a measure of association between two variables. IF there is a perfect linear association then correlation would be nearer to 1.  

Correlation always lies between -1 and +1.

If between-1 and 0 we say there is a negative correlation.

If nearer to 1 than to 0 then we say strong correlation

Here given correlation is 0.95 i.e. positive and have almost perfect linear relation.

Hence we see that Graph C shows almost linear relationship with slope positive

So option C is answer

Answer: i could be A and the next one is c

Step-by-step explanation:

Answer:

First question 8

Second question 10

Step-by-step explanation:

First question

The general formula for both secants is the entire length * the external segment.

Using an example, it is 3*(13 + 3) = 3*16

The other secant will be 4*(x + 4)

These two are equal

4(x + 4) = 3 * 16

4(x + 4) = 48                Divide by 4

x + 4 = 12                    Subtract 4 from both sides

x = 8

Second Question

8(x + 8) = 6(6 + 18)

8x + 64 = 6(24)

8x + 64 = 144            Subtract 64

8x = 80                     Divide by 8

x = 80 /8

x = 10

We can conclude that the length of DA is 6.

For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.

These are given, so we know that the vertices are the points:

A(-5,-4)

B (1,4)

C(4,0)

D(1,-4)

Now we want to find the length of DA, this is the distance between points D and A.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Then for the case of the points:

A (-5, -4) and D (1, -4)

the distance is given by:

[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]

Then we can conclude that the length of DA is 6.

If you want to read more, you can see:

https://brainly.com/question/12040665

I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!

Answer:

[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]

I hope it helped U

stay safe stay happy

Answer:

-3

Step-by-step explanation:

[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + 9 - {4}^{2} [/tex]

[tex] = 4 + 9 - 16[/tex]

[tex] = - 3[/tex]

Answer:

Obtuse angles measure between 90° and 180°.

In the diagram we have:

Obtuse angles measure less than 180° but more than right angle

Here they are