The diameter of an open parachute is 15 ft. if the distance from the parachute to the center of the diameter is 8 ft, what is the length of the suspension line (from the harness to the edge of the open chute)?

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

We want probability that 1st is girl AND 2nd is girl as well.

In probability "AND" means multiplication and "OR" means "addition".

We find the probabilities separately and multiply them together, since "AND".

=9/10

=2/4

P(both girls) = 9/10 * 2/4 =9/20

Answer:

Step-by-step explanation:

f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.

We have to vertically compress by a factor of 5 the liner parent function s(X)=x to get the function g(x)=1/5x.

A function is relationship between two variables in such a way that all the values of x corresponds to values of y.

The given function is f(X)=x and we need to form the function g(x)=1/5x from the function f(x)=x. Because we need to change the value of the function means we are changing y so we need to vertically walk in the graph. If we walk horizontally we might change the value of x.

Hence to get the function g(x)=1/5x we need to vertically compress by a factor 5 the function f(x)=x.

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Answer:Hey guys hope yall are having a good day the answer is B

b.The bank will seize the car and likely sell it to pay off Jason’s loan.

Option B is the right option.

A collateral is something that a person keeps as a security against some loan. If he fails to re-pay the loan, the collateral is seized by the lender.

Here, it is given that Jason used his car as collateral to borrow money from his bank. Now unable to make his monthly payments for the loan, defaulting on the loan.

In this case, the bank will seize his car or collateral.

So, option B is correct - The bank will seize the car and likely sell it to pay off Jason's loan.

Answer:

Not 100% sure but i will say (B)

Step-by-step explanation:

Answer:

It is not a real number.

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have to add up all the sides to find your answer

Answer:yes

Step-by-step explanation:

Each of their corners are at a 90* angle

Answer:

It has a period of 180 degrees.

which equals (1/2) PI

Step-by-step explanation:

The answer is 1/2pi!

Answer:

The answer is B

Step-by-step explanation:

The answers to the questions are: -20 for Q1, 70/9 for Q2, 36 for Q3, and -1 for Q4.

Q1: If r = 9, b = 5, and g = -6, what does (r + b - g)(b + g) equal?

First, calculate the expression inside the parentheses:

r + b - g = 9 + 5 - (-6) = 9 + 5 + 6 = 20

b + g = 5 + (-6) = 5 - 6 = -1

Now multiply these results together:

(r + b - g)(b + g) = 20 × (-1) = -20

The answer is -20.

Q2: If 9(x - 9) = -11, then x =?

First, simplify the equation:

9x - 81 = -11

9x = 70

Now, solve for x:

x =  rac{70}{9}

The answer is 70/9.

Q3: If (1/2)x + (2/3)y = 6, what is 3x + 4y?

Multiply the original equation by 6 to eliminate the fractions:

6((1/2)x) + 6((2/3)y) = 6 × 6

3x + 4y = 36

The answer is 36.

Q4: Evaluate f(x) = 4x + 3x² - 5 when x = -2

Substitute -2 for x and calculate f(x):

f(-2) = 4(-2) + 3(-2)² - 5

f(-2) = -8 + 3(4) - 5

f(-2) = -8 + 12 - 5

f(-2) = -1

The answer is -1.

Answer:

Step-by-step explanation:

One of the conditions has the condition and the conclusion written in one order; the other has them written in the opposite order.

Answer: First Option (2,-7)

Step-by-step explanation:

We have a system of equations formed by the following equations:

[tex]x + y = -5\\\\4x + y = 1[/tex]

To answer this question we must solve the system of equations. There are several ways to solve it. The easiest way to solve it for this case is to multiply the second equation by -1 and then add it to the first equation.

[tex]\ \ \ x + y = -5\\-4x - y = -1[/tex]

----------------------

[tex]-3x + 0 = -6\\\\x = 2[/tex]

Now substitute x = 2 in any of the system equations and solve for y.

[tex]2 + y = -5\\\\y = -7[/tex]

Therefore the solution of the system is the point: (2, -7)

Answer:

[tex]\left(fog\right)\left(-5\right)=-59[/tex]

Step-by-step explanation:

Given functions are [tex]f\left(x\right)=-2x-7[/tex] and [tex]g\left(x\right)=-4x+6[/tex].

Using both functions we need to find about what is the value of [tex]\left(fog\right)\left(-5\right)[/tex]. That can be done as shown below:

[tex]\left(fog\right)\left(-5\right)[/tex]

[tex]=f\left(g\left(-5\right)\right)[/tex]

[tex]=f\left(-4\left(-5\right)+6\right)[/tex]

[tex]=f\left(20+6\right)[/tex]

[tex]=f\left(26\right)[/tex]

[tex]=-2\left(26\right)-7[/tex]

[tex]=-52-7[/tex]

[tex]=-59[/tex]

Hence final answer is [tex]\left(fog\right)\left(-5\right)=-59[/tex].

Answer:

12.3

Step-by-step explanation:

In order to find the solution.

1. You need to memorize the formula for the area of a sector, which is

   (central angle/360) * pi (r)^2

2. You then plug in the variables carefully.

    * You were given the diameter. Transform the diameter into radius by diving the diameter by two

     (200/360) * pi (2.65)^2

3. Simplify and round to nearest tenth

    12.3

The area of a sector with a central angle of 200 degrees and a diameter of 5.3 cm can be found by first finding the area of the full circle and then scaling it by the ratio of the central angle to the full circle angle (360 degrees). The final answer is approximately 12.2 cm².

First, let's clear up some definitions. A sector is a part of a circle, defined by two radii and their enclosed arc. The central angle here is the angle at the centre of the circle formed by the two radii.

Start by calculating the radius of the circle. Given the diameter is 5.3 cm, the radius would be half of that, which is 2.65 cm.

The area ('A') of a full circle is calculated by the formula A = πr² where 'r' is the radius. Substituting the values to find the area of the full circle, we get A = π * (2.65 cm)² = 22.02 cm².

Since we are not interested in the area of the full circle but rather a sector of the circle, we need to scale this area down by the ratio of the central angle of the sector to the full angle of the circle (360 degrees). So, the area of the sector is (200/360) * 22.02 cm² = 12.2 cm².

So, the area of the circle sector is approximately 12.2 cm² when rounded to the nearest tenth.

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12/12=1

answer is B) 1

Hope this helps chu

Answer:

B.) 1

Step-by-step explanation:

Let x = 12!

We have

x / x

Anything divided by itself = 1

Answer:

22

Step-by-step explanation:

17+5=22

Answer:

x > 22

Step-by-step explanation:

number = x

5 fewer than the number

x - 5

The number is greater than 17

x -5 > 17

x -5 > 17

x > 17 + 5

x > 22

Answer: 4

Step-by-step explanation: If 1/4 of them are for Chloe, you'd divide 16 by 4 to find the answer. 16 divided by 4 equals 4.

Answer:

4

Step-by-step explanation:

There are 16 gifts under the tree, in which 1/4 is addressed to Chloe. To solve the amount she will get, Multiply 16 with 1/4:

16 x 1/4 = (16 x 1)/4 = 16/4 = 4

Chloe will receive 4 of those gifts.

~

By the binomial theorem,

[tex](x+y)^8=\displaystyle\sum_{n=0}^8\binom8nx^{8-n}y^n[/tex]

The [tex]x^3y^5[/tex] term occurs for [tex]n=5[/tex]; this gives the term

[tex]\dbinom85x^{8-5}y^5=\dfrac{8!}{5!(8-5)!}x^3y^5=56x^3y^5[/tex]

so the coefficient is 56.

Answer:

230 minutes = 3 hours + 5/6 hours

64 miles per 230 minutes =

64 miles / 3.83333 hours = 16.695 mph

which equals NONE of the answers

Step-by-step explanation:

Answer:

  range of f(x) = [-4, -2) ∪ [2, 8)

  a+b+c+d = -4

Step-by-step explanation:

The graph is attached. The range is the vertical extent of the function. It is defined at f(0) = -4 and f(2) = 2.

The limits f(2-) and f(4-) are -2 and 8, respectively, so the graph has open circles there. These are the ends of the two half-open intervals that make up the range of the function.

The portion of the graph in the domain [4, 7) is included in the range [2, 8), so no special treatment is needed for that piece of the function.

Answer: 1. C) (4, 5)

              2. D) (3, 4)

              3. B) 5/2

Step-by-step explanation:

Plug in the (x, y) coordinates to see which makes a true statement for both of the given inequalities.

             y ≥ -2x + 11               and                 y > 3x - 9

A) (2, 1)   1 ≥ -2(2) + 11   → 1 ≥ 7 is false

B) (4, 1)   1 ≥ -2(4) + 11   → 1 ≥ 3 is false

C) (4, 5) 5 ≥ -2(4) + 11   → 5 ≥ 3 is TRUE    5 > 3(4) - 9  → 5 > 3 is TRUE

D) (6, 6) 6 ≥ -2(6) + 11   → 6 ≥ -1 is TRUE   6 > 3(6) - 9  → 6 > 9 is false

The only option that produces a TRUE statement for both inequalities is C

********************************************************************************************

[tex]y=\dfrac{k}{x}\qquad \implies \qquad x\cdot y=k[/tex]

Given (2, 6), the k-value is 2 · 6 = 12.

Which (x, y) coordinates have a product of 12?

A) (1, 3) --> 1 · 3 = 3

B) (1, 4)  --> 1 · 4 = 4

C) (3, 3) --> 3 · 3 = 9

D) (3, 4) --> 3 · 4 = 12      THIS WORKS!

********************************************************************************************

In order for the equation to have infinite solutions, the left side must equal the right side.  Solve for "c"

8x - 2x(c + 1) = x

     -2x(c + 1) = -7x               subtracted 8x from both sides

           c + 1 = (-7x)/(-2x)      divided both sides by -2x

           c + 1 = 7/2                simplified

           c      = 5/2                subtracted 1 from both sides

a. 9 cm 2 because each side would be 3 and length x width would be 3 x 3 = 9

Answer:

hello : answer : a) 9 cm 2

Step-by-step explanation:

A square has a perimeter of 12 : p = 4×c.....c is the length

12 = 4c

c = 12/4

c = 3

the area  A= c²

   A= 3² = 9  cm 2

Answer:

The angular velocity is approximately  12  π radians per second.

Step-by-step explanation:

Answer:

[tex]12\pi[/tex]

Step-by-step explanation:

ANSWER

[tex]x = \frac{9}{2} [/tex]

EXPLANATION

The given absolute value equation is:

[tex] |x + 4| = 3x - 5[/tex]

This implies that, either

[tex] x + 4= 3x - 5[/tex]

[tex]x - 3x = - 5 - 4[/tex]

[tex] - 2x = - 9[/tex]

[tex]x = \frac{9}{2} [/tex]

Check for extraneous solution.

[tex]| \frac{9}{2} + 4| = \frac{27}{2} - 5[/tex]

[tex] \frac{17}{2} = \frac{17}{2} [/tex]

This is the real solution.

Or

[tex] - (x + 4)= 3x - 5[/tex]

This implies that:

[tex]x + 4= - 3x + 5[/tex]

Group similar terms:

[tex]x + 3x= 5 - 4[/tex]

[tex]4x = 1[/tex]

[tex]x = \frac{1}{4} [/tex]

Check for extraneous solution

[tex]| \frac{1}{4} + 4| \ne \frac{3}{4} - 5[/tex]

This is an extraneous solution.

Answer:

  The area of the triangle is 0.5 square units more than the area of the parallelogram.

Step-by-step explanation:

The vertical sides of the parallelogram are 3 units long and separated by 2 units. Hence the area of that figure is 3×2 = 6 square units.

The leg lengths of the right triangle are each

  √(2^2 + 3^2) = √13

so the area of the triangle is ...

  A = (1/2)(√13)^2 = 13/2 = 6.5

The triangle has area 0.5 square units more than the parallelogram.

To solve this problem we will use Heron's formula:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where [tex]a, \ b \ and \ c[/tex] are the side lengths of the triangle and [tex]s[/tex] is the semiperimeter (half the perimeter of the triangle). We know that:

[tex]Perimeter \ P=\triangle PSQ=PS+PQ+SQ: \\ \\ \triangle PSQ=P=50 \\ \\ Semiperimeter \ s: \\ \\ s=\frac{P}{2}=25[/tex]

Also:

[tex](I) \ PS=SQ \\ \\ (II) \ SQ-PQ = 1 \\ \\ (III) \ PS+PQ+SQ=50 \\ \\ \\ (I) \ into \ (III): \\ \\ SQ+PQ+SQ=50 \\ \\ \therefore (IV) \ 2SQ+PQ=50 \\ \\ From \ (II): \\ \\ PQ=SQ-1 \\ \\ (II) \ into \ (IV): \\ \\ 2SQ+(SQ-1)=50 \\ 3SQ-1=50 \\ 3SQ=51 \\ \\ \boxed{SQ=17} \\ \\ \boxed{PS=17} \\ \\ PQ=SQ-1=17-1 \therefore \boxed{PQ=16}[/tex]

Finally:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)} \\ \\ A=\sqrt{s(s-PS)(s-SQ)(s-PQ)} \\ \\ A=\sqrt{s(s-17)(s-17)(s-16)} \\ \\ A=\sqrt{25(25-17)(25-17)(25-16)} \\ \\ \boxed{A=120}[/tex]

The value of the total bill Excluding tax would be [tex]\$31.21.[/tex]

Given that,

Mr. Burns ordered a meal for [tex]\$7.75[/tex], and Mrs. Burns ordered a meal for [tex]\$ 9.50[/tex]. the four kids ordered kids' meals for [tex]\$3.49[/tex] each.

Now, the total cost of all the meals first:

Mr. Burns' meal:  [tex]\$7.75[/tex]

Mrs. Burns' meal: [tex]\$ 9.50[/tex]  

Kids (4 of them) meals: [tex]\$3.49[/tex] each

Hence, the total cost of kids' meals:

[tex]4 \times \$3.49 = \$13.96[/tex]

Now, the subtotal by adding up the individual meal costs:

Subtotal = Mr. Burns' meal + Mrs. Burns' meal + Total cost of kids' meals

[tex]= \$7.75 + \$9.50 + \$13.96[/tex]

[tex]= \$31.21[/tex]

Hence, the total bill Excluding tax would be $31.21.

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Answer:

1/18 is the answer of that

3rd : yes, at negative and positive x coordinates

Answer:

Yes, at positive x coordinates

Step-by-step explanation:

ANSWER

[tex]\frac{\pi}{2} [/tex]

EXPLANATION

The period refers to the interval over which the function completes one full cycle.

The given function completed four cycles in on the the interval.

[-π,π]

The period is

[tex] = \frac{\pi - - \pi}{4} [/tex]

[tex]= \frac{\pi + \pi}{4} [/tex]

Simplify;

[tex]= \frac{2 \pi}{4} [/tex]

[tex]= \frac{\pi}{2} [/tex]

The last choice is correct.

Answer:B.) Bisector Of An Angle

Step-by-step explanation:

Angle bisectors are lines that bisect the considered angle. The correct option is B.

Angle bisectors are lines that bisect the considered angle. Bisect refers to splitting into two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.

As the angle bisector is a line, that is exactly between the two rays of an angle, therefore, it can be concluded that the geometric object is the angle bisector or  Bisector of an angle.

The geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle is the angle bisector.

Hence, the correct option is B.

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