Find the measure of Angles A, C, D

Step-by-step explanation:

divide it by 2...............

The linear equation of line is given by y = 6.5x - 1.5 where the slope of the equation m = 6.5 , y = amount of ice lost and x = time elapsed

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the amount of ice lost = y

Let the time elapsed be = x

A large block of ice is melting and losing 5 grams of mass every minute

So , the first point be A = A ( 1 , 5 )

After 11 minutes, the ice has lost 70 grams

So , the second point is B = B ( 11 , 70 )

Now , the slope of the line is given by the formula ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 70 - 5 ) / ( 11 - 1 )

Slope m = 65/10

Slope m = 6.5

Now , the equation of line is given by ,

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 5 = 6.5 ( x - 1 )

y - 5 = 6.5x - 6.5

Adding 5 on both sides of the equation , we get

y = 6.5x - 1.5

Therefore , the value of A is y = 6.5x - 1.5

Substitute the value of x = 11 minutes , we get

y = 6.5 ( 11 ) - 1.5

y = 71.5 - 1.5

y = 70 grams

Hence , The linear equation of line is given by y = 6.5x - 1.5 where the slope m = 6.5

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer: florida circuit court

Step-by-step explanation:

Based on the information given, the Florida court that she should file her legal action against the driver is the Florida circuit court.

The Florida Circuit Court is a state court where cases such as civil cases, felony, juvenile cases, family law and probate issues are heard. Therefore, based on the scenario given, the Florida circuit court will be applicable here.

Answer:

Some plants need certain things in their environment, so if their environment changes it could make the plants not grow. Animals would most likely either move to a different area or would get used to the change.

Answer: [tex]16p^{2} -9[/tex]

The area of the rectangle is [tex]16p^{2} -9[/tex].

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

The side length of square = 4p

The length of rectangle, l = 4p+3

The width of rectangle, w = 49-3

The formula of area of rectangle is

[tex]A=lw[/tex]

⇒ [tex]A=(4p+3)(4p-3)[/tex]                 [∵ [tex](a+b)(a-b)=a^{2}-b^{2}[/tex] ]

⇒ [tex]A=(4p)^{2} -3^{2}[/tex]

⇒ [tex]A=16p^{2} -9[/tex]

Hence we can conclude that the area of the rectangle is [tex]16p^{2} -9[/tex].

Learn more about the rectangles here

brainly.com/question/12019874

#SPJ2

the answer is:

2x = 19 + 7

2x= 26

x= 13

Answer:

19 in. and 20 in.

Step-by-step explanation:

18^2 = 18 * 18 = 324

19^2 = 19 * 19 = 361

20^2 = 20 * 20 = 400

369 is between 361 and 400, so the side of the table is between 19 in. and 20 in.

Answer:

19 in. and 20 in.

Step-by-step explanation:

18^2 = 18 * 18 = 324

19^2 = 19 * 19 = 361

20^2 = 20 * 20 = 400

369 is between 361 and 400, so the side of the table is between 19 in. and 20 in.

Answer:

B ) c = 0.65n

Step-by-step explanation:

To find how much a single pound costs, divide the total cost by the total weight (2.60 ÷ 4). So, the cost (c), equals $0.65 per pound.

Answer: Jared guests ate = 8 1/2 cups of the snack mix.

Step-by-step explanation:

Total snack mix made by Jared = 12 3/4  CUPS

Amount eaten  by guests = 2/3 of Total snack mix

which means they ate = 2/ 3 x12 3/4

= 2/3 x  51/ 4

=17/2 = 8 1/2  cups of snack mix.

Jared guests ate  8 1/2 cups of the snack mix.

Answer:

1) B? (I think that is meant to be an exponet. if it is, you would write it as x^2)

2) I do not know

3) A (it would actually be 10x^2, but 10x is the closest to it

4) A makes the most sense

5) A

6/7/8) I do not know, sorry

9) A makes the most sense

10-15) I am sorry, I cannot solve it

Step-by-step explanation:

I am sorry you have to go through this in 7th grade

Answer:

Hose A fills at a rate of 10 gal per min

Hose B fills at a rate of 8 gal per min

Hose B fills at a faster rate

Step-by-step explanation:

Answer:

Hose A=10 gal per min

Hose B=8 gal per min

Hose A is faster

Step-by-step explanation:

A) 160 gallon/16 minutes=10 gallons per minute

B) 240 gallon/30 minutes=8 gallons per minute

Answer:

1. diameter=8 kilometres

2. area=98.96 inches

3. 37m

Step-by-step explanation:

1. diameter= 2*radius

2. area of sector=θ out of 360*π[tex]r^{2}[/tex] where θ is the angle

3. area of garden=π[tex]r^{2}[/tex]

        706.5=π[tex]r^{2}[/tex]

     [tex]r^{2}[/tex]=706.5/π

        = 225(nearest whole)

     r=[tex]\sqrt{225}[/tex]=15m

we now use Pythagoras theorem to find length of each pathway

[tex]40^{2} =15^{2} +x^{2}[/tex]

1600=225+[tex]x^{2}[/tex]

[tex]x^{2}[/tex]=1600-225=1375

x=[tex]\sqrt{1375}[/tex]=37 m (to nearest whole)

The tangent pathways from the entrance form right triangles from which

the length of the pathway which are the sides of the triangle, can be found.

Reasons:

1. The radius of the particle accelerator = 4 kilometers

The diameter of the particle accelerator = 2 × The radius

Therefore;

The diameter = 2 × 4 km = 8 km

The accelerator's diameter is 8 kilometers

2. The area of a sector of a circle is A = [tex]\displaystyle \frac{\theta}{360^{\circ}} \times \pi \cdot r^2[/tex]

The angle subtended by the sector, θ = 140°

The radius of the sector, r = 9 inches

Therefore;

[tex]\displaystyle A = \frac{140^{\circ}}{360^{\circ}} \times \pi \times 9^2 = \mathbf{ 31.5 \cdot \pi}[/tex]

The area of the shaded sector, A = 31.5·π in.² ≈ 98.96 in.²

3. The distance from the center to the main entrance, d = 40 m

Area of the circular garden, A = 706.5 m²

Solution:

The radius of the garden, r = √(A ÷ (π))

Therefore;

r = √(706.5 ÷ (π)) ≈ 15

The tangent pathways are perpendicular to the radius of the circular garden.

Therefore, the pathway from the entrance, the 40 m. distance from the center to the entrance and the radius form a right triangle.

Where;

The 40 m. distance = The hypotenuse side

By Pythagorean theorem, we have;

40² = r² + (Length of the pathway)²

Which gives;

40² = 15² + (Length of the pathway)²

Length of the pathway ≈ √(40² - 15²) ≈ 37.1

The length of each pathway is approximately 37.1 m.

Learn more about Pythagorean theorem here:

https://brainly.com/question/16175002

Answer:

Step-by-step explanation:

Given the function

f(x) = 4(4x + 3)(x + 1)² (x^2– 3)

The x-intercept occurs at a point where f(x) = 0

f(x) = 4(4x + 3)(x + 1)² (x^2– 3)

4(4x + 3)(x + 1)² (x^2– 3) = 0

4x+3 = 0

4x = -3

x = -3/4

(x + 1)² = 0

x + 1 = 0

x = 0-1

x = -1

x^2-3 = 0

x^2 = 0+3

x^2 = 3

x  = ±√3

hence the x intercepts are -3/4, -1, √3 and -√3. This shows that there are 4 x intercepts

Step-by-step explanation:

it seems the answer is four (option a)

Answer:

Length: 25

Step-by-step explanation:

the ratio we use is 5:1

125÷5=25

5 is the width and 25 is the length

to check the answer find the area with those measurements

5x25=125 so its correct

Answer:

x = 11.5

Step-by-step explanation:

9 (x - 2) = 7x + 5

9x - 18 = 7x + 5

    +18          +18

9x = 7x + 23

-7x   - 7x

2x = 23

---    ---

2       2

x = 11.5

Answer:

Step-by-step explanation:

h₁₀ - h₇ = 31-25 = 6 ft

The tree grew 6 ft in 3 years, or 2 ft per year.

In 7 years the tree grew 14 ft. It was 25-14 = 11 ft when planted

Answer:

a) How many of the pets were birds and how many were fish?

Number of birds = x = 28

Number of fish = y = 202

b) Equation for pets?

x + y = 230....... Equation 1

c) Equations for cost?

9x + 4y = 1060...... Equation 2

Step-by-step explanation:

The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060 how many of the pets were birds and how many were fish? Equation for pets? Equations for cost?

Let us represent:

Number of birds = x

Number of fish = y

The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets

x + y = 230....... Equation 1

x = 230 - y

In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060

$9 × x + $4 × y = $1060

9x + 4y = 1060...... Equation 2

We substitute 230 - y for x

9(230 - y) + 4y = 1060

2070 - 9y + 4y = 1060

Collect like terms

- 9y + 4y = 1060 -2070

-5y = -1010

y = -1010/-5

y = 202

Solving for x

x = 230 - y

x = 230 - 202

x = 28

Therefore,

Number of birds = x = 28

Number of fish = y = 202

Answer:

First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.

Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.

Length = 12 feet

Width = 8 feet

Answer:

x=2

Step-by-step explanation:

To find the value of x

3x+4 = 2x+6

3x-2x = 6–4

x=2

The value of x is 2.

Answer:

$6.76 million

Step-by-step explanation:

The computation of the profit of the year in 2011 is shown below:

Given that

In year 2007, it made $4 million profits

And it would be increased by 14% till 2011

So,

= $4 million × (1 + 0.14)^4

= $4 million × 1.68896016

= $6.76 million

Answer:

39/30= 13/10

Step-by-step explanation:

You would need to make all numbers have a common denominator. The least common denominator for them is 30. So multiply the 1/6 by 5. the 4/5 by 6 and the 2/3 by 10. And the answer will come out to be a mixed number.

Answer:

1/4

Step-by-step explanation:

A P E X

Answer:       I’m a goofy goober yeah your a goofy goober yeah

Step-by-step explanation:

Answer:

11 over 24  = 0.458

Step-by-step explanation:

Answer:

constant of proportionality = 7

Step-by-step explanation:

Let k = constant of proportionality

If y varies directly with x and inversely with z, then [tex]\frac{yz}{x} = k[/tex]

Substitute the values given into the equation and you get [tex]\frac{(63)(3)}{27} = 7 = k[/tex]

Answer:

k = -18

Step-by-step explanation:

Answer:

Y=MX+C is the equations of a straight line where C is the constant (y intercept)

Looking at a and b and the two graphs c and d

The function c represents the lowest value of the y intercept which is at -3

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

r/1000-(7)=0

Step by step solution :

STEP1:

r

Simplify ————

1000

Equation at the end of step1

r

———— - 7 = 0

1000

STEP 2

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 1000 as the denominator :

7 7 • 1000

7 = — = ————————

1 1000

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

r - (7 • 1000) r - 7000

—————————————— = ————————

1000 1000

Equation at the end of step 2

r - 7000

———————— = 0

1000

STEP 3

When a fraction equals zero :

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

r-7000

—————— • 1000 = 0 • 1000

1000

Now, on the left hand side, the 1000 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

r-7000 = 0

Solving a Single Variable Equation:

Solve : r-7000 = 0

Add 7000 to both sides of the equation :

r = 7000

One solution was found :

r = 7000

Step-by-step explanation:

Hope it is helpful.....