b. The number of cats your teammates have as pets: 0, 1, 3,2

To find the equation of the line, we will use the formula below;

x₁=-6 y₁=6 x₂=4 y₂=6

substitute the values into the formula

y - 6 = 0

y = 6

Answer:6501

             ---------

               500

Step-by-step explanation:

The length of h in the given parallelogram is 0.24

To help us solve this problem, please refer to the attached picture below for each corner annotation of the parallelogram.

First, we will try to focus on triangle AOD to find the length of OD.

We know that ABCD is a parallelogram and AD is parallel to BC; then AD = BC

AD = 5

To find the length of OD we will use the phytagoras theorem:

AD² = AO² + OD²

0.5² = 0.3² + OD²

0.25 = 0.9 + OD²

OD² = 0.16

OD = 0.4

Then, we will use the congruent triangle concept between triangle AOD and triangle CPD to find the length of h or PD.

Based on the congruent triangle concept; we know that AD and DC should be congruent; then:

AD / DC = AO / DP

0.5 / 0.4 = 0.3 / h

h = 0.24

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The length of ST obtained using Pythagorean Theorem is about 13.2 units

Pythagorean Theorem states that the square of the length of the hypotenuse side of a right triangle is the sum of the square of the other two legs of the triangle.

The length of the segment \(\overline{PR}\) = 18

\(\overline{RS}\) = \(\overline{SP}\) = 16 (Radial length of the same circle)

Triangle ΔSRP is an isosceles triangle, therefore, ∠SRP ≅ ∠SPR

\(\overline{ST}\) ≅ \(\overline{ST}\) (Reflexive property of congruence)

Triangles ΔRST and ΔPST are congruent by the Hypotenuse Leg, HL rule of congruent triangles

Therefore; RT ≅ PT

RT + PT = 18

RT + RT = 18

2 × RT = 18

RT = 18/2 = 9

RT = 9

Therefore, ST, can be obtained using Pythagoras Theorem as follows;

ST = √(16² - 9²) = 5·√7 ≈ 13.2

The length of the side ST is about 13.2 units long

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Answer:

B is the answer.

Step-by-step explanation:

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Triangles cannot have two 90 degrees because that would add up to 180 and triangles need 3 angles to add to 180

You can't have an obtuse angle and a right angle. say the obtuse angle was 110, and a right angle is 90. 110 + 90 is more than 180.

Two obtuse angles would be more than 180.

This leaves us with B being correct, because you can have an obtuse angle and an acute angle, and it can be less than 180 degrees.

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#teamtrees #WAP (Water And Plant)

Answer: The answer is 45 because you do parenthesis first which is 13.5-4.5=9 then you multiply 9×5=45 therefore the answer is 45.

Step-by-step explanation:

Answer: The answer is 45 because you do parenthesis first which is 13.5-4.5=9 then you multiply 9×5=45 therefore the answer is 45.

:)

Answer:

y^2 -3y - 18

Step-by-step explanation:

y x y= y^2

3 x y = 3y

y x -6 = -6y

-6y +3y = -3y

3 x -6 = -18

y^2 -3y - 18

Answer:

I think its 1200 not sure though

Answer:

1,200

Step-by-step explanation:

first you would divide 480 copies by 4 minutes to see how many copies per minute (120) Then you would take 120 copies per minute and multiply it by the 10 and you would get 1200 copies per 10 minutes! lmk if that helps:)

1)Option B is the correct option.

231

2)Option A is the correct option.

6336

3)Option B is the correct option.

307 (not sure)

Answer:

26 degrees

Step-by-step explanation:

\( \frac{ \sqrt{19} }{ \sin(x) } = \frac{10}{ \sin(90) } \)

\( \frac{ \sin(x) }{19} = \frac{1}{10} \)

\( \sin(x) = \frac{\sqrt{19} }{10} \)

Take the sin inverse

we get 26 degrees

Answer:

7x + 10

Step-by-step explanation:

10 + 8x - 1x ​

Add or subtract like terms.

10 + (8 - 1)x

10 + (7)x

Rearrange.

7x + 10

Answer:

7x+10

Step-by-step explanation:

start by rewriting the problem

10+8x-1x

now, you can subtract 8x from 1x, because they are like terms

10+7x

arrange the terms

7x+10

now, that is your final answer!

The height of the flagpole is 12.9 feet to the nearest tenth.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

The boy is 5' 3" tall and his shadow is 4 feet.

The shadow of the flagpole is 17 feet.

The boy is 5.25 feet tall.

Let the height of the flagpole is h feet.

So,

17/h = 5.25/4

h = 68/5.25

h = 12.95

h = 12.9 to one decimal place.

Therefore, h = 12.9 to one decimal place.

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Answer:

12.5

Step-by-step explanation:

50÷4=12.5

Answer:

≈ 7.07m

Step-by-step explanation:

Let the length of a side of a square

= a metre

a² = 50 m²

\( \sf{a = \sqrt{50m {}^{2} }}\)

\( \sf{ = \sqrt{2 \times 5 \times 5m {}^{2} }}\)

\( \sf{ = 5 \sqrt{2m} }\)

≈ 5x 1.414

≈ 7.07 m

therefore

side of triangle

\( \sf \: = 5 \sqrt{2m} \)

Answer:

  1/4

Step-by-step explanation:

There are 12 inches in a foot, so 3 inches is 3/12 of a foot. As a reduced fraction, that is 1/4 of a foot.

Answer: 1/4 of a foot.

Step-by-step explanation: If you ever see this, I'm guessing you're in Elementary. But all3 of your questions have gotten me weak.

Answer:

\(\frac{\sqrt{21} }{5}\)

Step-by-step explanation:

Given

cosθ = - \(\frac{2}{5}\)

Using the identity

sin²θ + cos²θ = 1 , then

sinθ = ± \(\sqrt{1-cos^20}\)

       = ± \(\sqrt{1-(-\frac{2}{5})^2 }\)

      = ± \(\sqrt{1-\frac{4}{25} }\)

      = ± \(\sqrt{\frac{21}{25} }\)

     = ± \(\frac{\sqrt{21} }{5}\)

Since θ is in second quadrant the sinθ > 0 , thus

sinθ = \(\frac{\sqrt{21} }{5}\)

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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In the given diagram, given the area of the compound shape, the value of x is 1.5 mm

From the question, we area to determine the value of x, given the area of the compound shape

From the given information,

The area of the compound shape = 24 mm²

From the given diagram, we can write that

Area of the compound shape = (7 × x) + [x × (2x + 6)]

Thus,

24 = (7 × x) + [x × (2x + 6)]

24 = 7x + (2x² + 6x)

24 = 7x + 2x² + 6x

24 = 2x² + 13x

2x² + 13x - 24 = 0

2x² + 16x - 3x - 24 =0

2x(x + 8) - 3(x + 8) = 0

(2x - 3)(x + 8) = 0

2x - 3 = 0 OR x + 8 = 0

2x = 3 OR x = -8

x = 3/2 OR x = -8

Since, measurement cannot be negative

x = 3/2 mm

x = 1.5 mm

Hence, the value of x is 1.5 mm

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The rectangle in the example has a 173.70 cm perimeter.

The perimeter of a form is the space surrounding its edge. you can find the perimeter of various forms by summing the lengths of their sides.

Given, In a rectangle, the diagonal amount with the base is 72. The diagonal is 2 cm bigger than the base.

Since the Diagonal is 72 cm

and also given base = diagonal - 2

Base = 70

Because Diagonal ² = base² + height²

height² = 72² - 70²

Height² = 284

Height = 16.85

Thus the perimeter = 2*(base + height)

Perimeter of rectangle = 2 * (70 + 16.85)

the perimeter of the rectangle = 173.70

Therefore, the perimeter of the given Rectangle is 173.70 cm.

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Answer:

The answer would be x =10

Step-by-step explanation:

Fill in 10

You welcome

The value of x in the figure ABCD is 10.

We know that rhombuses are a particular type of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal.

Since the side lengths of a rhombus are equal, so the lengths of AB and DC are equal.

Now, 3x - 11 = x + 9

i.e. 3x - x = 9 + 11

i.e. 2x = 20

i.e. x = 10

Therefore the value of x in the figure ABCD is 10.

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The exterior angle m∠DEF (6x - 10)° is derived to be equal to 56°

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

interior opposite angles are (2x°- 4)° and (2x + 16)°

m∠DEF = m∠CDE + m∠ECD

6x - 10 = 2x - 4 + 2x + 16

6x - 2x - 2x = 10 + 16 - 4 {collect like terms}

2x = 22

x = 22/2 {divide through by 2}

x = 11

m∠DEF = 6(11) - 10

m∠DEF = 56°

Therefore, the exterior angle m∠DEF (6x - 10)° is derived to be equal to 56°

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Answer:

solve for x. 2/3x = -2/3. X=1

Answer:

(x, y)=(-8,1) this is substantial method

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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The given function is f(x) = 5x³ - 40x² + 20x + 240, and we are given that f(4) = 0. We need to find the other two solutions to this function and determine the positive and negative solutions.

To find the other two solutions, we can use the fact that f(4) = 0. This means that when x = 4, the function evaluates to zero. By substituting x = 4 into the function, we get:

f(4) = 5(4)³ - 40(4)² + 20(4) + 240 = 0

Simplifying this equation, we have:

320 - 640 + 80 + 240 = 0

-320 + 320 = 0

Therefore, we see that the equation holds true, and x = 4 is one solution to the function.

To find the other two solutions, we can factor the given function or use numerical methods such as the Newton-Raphson method. Factoring the function is not possible in this case, so we will use numerical methods.

Using numerical methods, we find that the other two solutions to the function are approximately x ≈ -3.081 and x ≈ 2.581.

The positive solution is x ≈ 2.581, and the negative solution is x ≈ -3.081.

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Answer:

they have gained 3 yards

Step-by-step explanation:

they went foward 6 but went back 15 leaving them at -9 then gained 12 putting them at 3

can you tell me what your doing here and might help.

Answer:

4

Step-by-step explanation:

The rate at which the radius of the balloon is increasing after 2 minutes is 4.16 × 10⁻³

Given,

The constant rate at which helium is pumped into the spherical balloon, r = 5 ft.³/s

We have to find the rate at which the radius of the balloon is increasing after 2 minutes.

Here,

dV/dt = (dV/dr) × (dr/dt)

Then,

dr/dt = (dV/dt) / (dV/dr)

The volume of balloon after 2 minutes (120 seconds) V₁₂₀ ;

V₁₂₀  = 120 s × 5 ft.³/s = 600 ft.³

The radius of balloon after 2 minutes ;

V = 4/3 π r³

dV/dr = 4 π r²

r = \(\sqrt[2]{\frac{2}{4.\pi } V}\)

Then,

r₁₂₀ = \(\sqrt[2]{\frac{2}{4.\pi } 600}\) ≈ 9.77

dr/dt = (dV/dt) / (dV/dr) = 5 / 4π r²

At t = 2 minutes (120 seconds), r ≈ 9.77 feet

dr/dt ≈  5 / 4π 9.77² ≈ 4.16 × 10⁻³

That is,

The rate at which the radius of the balloon is increasing after 2 minutes is 4.16 × 10⁻³

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