A parallelogram has a base of 12 meters and a height of 7 meters. What is the area?

Answer:

  7.50 m

Step-by-step explanation:

The side lengths of the "special triangle" with angles 30°-60°-90° have the ratios 1 : √3 : 2. These ratios can be used to solve the problem.

__

The parts of the tree of interest correspond to the long side and the hypotenuse of a 30-60-90 triangle.

In terms of the above ratio units, the fraction of tree height that is broken off is ...

  [tex]\dfrac{\text{hypotenuse}}{\text{hypotenuse $+$ long side}}=\dfrac{2}{2+\sqrt{3}}\approx0.535898[/tex]

So, the length of the broken part of the tree is ...

  0.535898 × 14 m ≈ 7.50 m

Answer:

Before cooling begins, the temperature of the water is 22°C.

Step-by-step explanation:

need steps??

have a good day

rate my answer

Answer:

24,400

Step-by-step explanation:

58912 minus 34512 equals 24400.

Hope this Helps.

BTW it's my birthday

Answer:

24400

Step-by-step explanation:

No explanations; 58912-34512=24400

Answer:

  y = qx/p -qr

Step-by-step explanation:

To solve for a variable, you must undo the operations done to the variable. Here, the variable is divided by a negative number (-q), and the result is added to another term (x/p).

We undo the addition by adding the opposite of the term that is added:

  [tex]\dfrac{x}{p}-\dfrac{x}{p}-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{add $-\dfrac{x}{p}$}\\\\-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{simplify}[/tex]

We undo the division by multiplying by the reciprocal of the coefficeint, -q.

  [tex]\left(-\dfrac{y}{q}\right)(-q)=\left(r-\dfrac{x}{p}\right)(-q)\qquad\text{multiply by $-q$}\\\\\boxed{y=-qr+\dfrac{qx}{p}}\qquad\text{simplify}[/tex]

Answer:

Emily is now 12.

Jacob is now 16.

Step-by-step explanation:

since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.

eight yrs ago: Emily is ( x-4-8) = ( x - 12)

Jacob is ( x - 8)

Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)

2( x - 12) = x - 8

2x - 24 = x - 8............ Bring the like terms together and solve for x

x = 16, which is Jacob's current age

Emily ( x - 4) = 12 yrs

The surface area of the right prism with an isosceles triangle base is 720 inches squared.

surface area = bh + l(x + y + z)

where

Therefore,

b = 24 inches

h = 5 inches

x = 13 inches

y = 13 inches

z = 24 inches

l = 12 inches

Surface area = 24 × 5 + 12(13 + 13 + 24)

Surface area = 120 + 12(50)

Surface area = 120 + 600

Surface area = 720 inches²

learn more on surface area here: https://brainly.com/question/2835293

Answer:

Biased

Step-by-step explanation:

Answer:

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]

or x² +y²= 9

Step-by-step explanation:

In Cartesian form, the equation is expressed only in terms of y and x.

x= -3sin(t) -----(1)

y= 3cos(t) -----(2)

I've written x instead of x(t) as in the later part of the working, we will be having an equation of only x and y, thus x will no longer be a function of t. This applies to equation 2, where I have replaced y(t) with y.

Relating sine to cosine:

sin²(t) +cos²(t)= 1

[sin(t)]² +[cos(t)]²= 1 -----(3)

From (1):

[tex] \frac{x}{ - 3} = \sin(t) [/tex]

[tex] \sin(t) = - \frac{x}{3} [/tex] -----(3)

From (2):

[tex] \frac{y}{3} = \cos(t) [/tex]

[tex] \cos(t) = \frac{y}{3} [/tex] -----(4)

Substitute (4) &(5) into (3):

[tex]( - \frac{x}{3} )^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3} ) {}^{2} = 1[/tex]

The steps below are optional as the above is already considered to be the Cartesian form.

[tex] \frac{ {x}^{2} }{9} + \frac{y {}^{2} }{9} = 1[/tex]

Multiplying both sides by 9:

x² +y²= 9

Answer:

Step-by-step explanation:

Remark

I think the easiest way to do this is to calculate the probability of those that are 12 to 24. Then subtract the decimal you get from 1. That saves you adding up 3 numbers to get the same answer.

Givens

Total number of movie goers = 3880

Total number that are between 12 and 24 = 1180

Solution

Probability of a random person being drawn from 1180

people between 12 and 24 = Those between 12 and 24 = 1180

Total Number = 3880

P(12 - 24) = 1180 / 3880

P(12 -24) = 0.3041

Remember, that's not what you want. You want everyone else

P(not(12-24)) = 1 - 0.3041

Answer 0.6959

Answer:

z=58

Step-by-step explanation:

Sum of interior angles of a n-gon = (n-2) 180

for this 7-gon  (heptagon)      (7-2)(180) = 900

so all of the angles added togehter = 900

z+50   + 2z  + 2z+23   + 3z-37  + 2z+31   + 113 + 140 = 900

z = 58

Answer:

3 miles (3 laps)

Step-by-step explanation:

Assuming 1 lap is a mile, and 1/2 hour has 30 minutes, 1 mile per 10 minutes gives us 3 miles.

Answer:

B. 46 ft²

Step-by-step explanation:

Two sides are rectangles 3.1 ft by 5 ft.

One side is a rectangle 5 ft by 3 ft.

area = 2(3.1 ft × 5 ft) + (5 ft × 3 ft)

area = 46 ft²

Answer: 70

Step-by-step explanation:

Answer:

4 and 7

2 and 5

Step-by-step explanation:

4 and 7 are co interior angles

2 and 5 are co interior angles

sum of co interior angles are 180° hence they are Supplementary

Given that the absolute value of a function is its positive value and the value of x is -10, hence the absolute value of x is 10

The absolute value is the positive value of any given value.

Given the equation

x + 8 = -2

Determine the value of x

x = -2 - 8
x = -10

Since x is -10, hence the absolute value of x is 10

Learn more on absolute value here: https://brainly.com/question/24368848

Answer:

14 flats

5 plants

Step-by-step explanation:

First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14

The 14 times 6 would get you 84

Then subtract 84 from 89 and you get 5 plants left over ^^

To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

What is math average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.

                 When calculating the average for a set of data, we first sum up all the values and divide the result by the total number of values.

Average = (sum of values) / (number of values)

The total of Laurence's marks on the first four biology exams can be calculated using the following formula

Sum of scores = 87 + 80 + 75 + 85

= 327

We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

Therefore, We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

Next score = (sum of all five scores) - (sum of first four scores)

= (85 x 5) - 327

= 25

Therefore, To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

Learn more about average

brainly.com/question/24057012

#SPJ1

Answer:

y=-3x

Step-by-step explanation:

Answer:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Step-by-step explanation:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Find the circumference:

Circumference = pi x radius x 2 = 138.16 feet

Linear travel = circumference x rotations

linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet

Answer:

The one above the orange answer in the picture

Step-by-step explanation:

85% of 20 is 17 every thing else is not 85%

The correct answer would be the one on top left

Answer:

7/3

Step-by-step explanation:

pls mark me brainliest :)

Answer:

7/8

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

35 ÷ 5

40 ÷ 5

Answer:

x=6

Step-by-step explanation:

Rearrange terms:

8+x=14

x+8=14

Subtract 8 from both sides and simplify.

Given :-

To find :-

Solution :-

8+x = 14

x = 14-8 (Signs change when transferred to opposite side)

x = 6

Step-by-step explanation:

4x - 96 = 0

4x = 96

x = 96/4

x = 24

Hope it helps you :)

Answer:15h

Step-by-step explanation: because 8m+7m = 15h and the side the H is on is way bigger than the other sides so thats how you know your supposed to add.

Answer:

[tex](2x - 5)^2[/tex]

Step-by-step explanation:

[tex]y = 4x^2 -20x + 25\\\rightarrow (2x - 5)(2x - 5)\\\rightarrow (2x - 5)^2\\\\\text{checking...}\\(2x - 5)^2 = (2x - 5)(2x - 5) = 4x^2 - 10x - 10x + 25 = 4x^2 - 20x + 25[/tex]

Answer:

  61,940

Step-by-step explanation:

For a recursive sequence of reasonable length, it is convenient to use a suitable calculator for figuring the terms of it. Since each term not only depends on previous terms, but also depends on the term number, it works well to use a spreadsheet for doing the calculations. The formula is easily entered and replicated for as many terms as may be required.

__

The result of executing the given algorithm is shown in the attachment. (We have assumed that g_1 means g[-1], and that g_2 means g[-2]. These are the starting values required to compute g[0] when k=0.

That calculation looks like ...

  g[0] = (0 -1)×g[-1] +g[-2} = (-1)(9) +5 = -4

The attachment shows the last term (for k=8) is 61,940.

The correct factored form of the expression p³ - 125q³ is,

(p - 5q)(p² + 5pq + 25q²).

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

We know, a³ - b³ = (a - b)(a² + ab + b²).

Given, An expression p³ - 125q³.

= p³ - (5q)³.

= (p - 5q)(p² + p.5q + (5q)²).

= (p - 5q)(p² + 5pq + 25q²).

learn more about factoring expressions here :

https://brainly.com/question/11994048

#SPJ7

The way 30 flowers in a bunch can be counted in groups of 2s and 3s is 2(3(3) + 3(2))

From the question, the interpretation is that we are to write the prime factorization of 30

30 = 2 * 15

30 = 2{3 (3 + 2)}

Expand using the distribution property

30 = 2(3(3) + 3(2))

30 = 2(9 + 6)

Hence the way 30 flowers in a bunch can be counted in groups of 2s and 3s is 2(3(3) + 3(2))

Learn more on prime factorization here: https://brainly.com/question/92257