Find the area of a triangle with the given description. (Round your answer to one decimal place.)
a triangle with sides of length 14 and 28 and included angle 20°

9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

The first step in any problem solving is to look at the problem. Here, we see that the first equation can be reduced to standard form by dividing it by 2. This would give both terms a coefficient of 1.

We see that the second equation already has a variable with a coefficient of 1.

When solving a system by substitution, it can save some effort if you start by finding a variable with a coefficient of 1 or -1. Since we see that in the second equation, we choose to solve the second equation for y:

  y = 4x . . . . . . . add 4x to both sides of the second equation

Now, we have an expression for y that we can substitute into the first equation.

  2x +2(4x) = 30 . . . . substitute for y

  10x = 30 . . . . . . . . simplify

  x = 3 . . . . . . . . . . divde by 10

  y = 4(3) = 12 . . . . . find y using y=4x

The solution is (x, y) = (3, 12).

__

Additional comment

I doesn't matter what variable gets substituted. The purpose of the exercise is to reduce the number of variables in the equation. Here, we start with an equation that has 2 variables. Substituting for one of them gives an equation with only one variable, a lot easier to solve.

You don't have to find an expression for the "bare" variable. We could solve the second equation for 2x, for example: 2x = y/2, then substitute for 2x in the first equation: y/2 +2y = 30   ⇒   y = (2/5)(30) = 12. Or, we could solve the first equation for 2x and substitute into the second: 2x=30-2y, y-2(2x) = 0 ⇒ y-2(30-2y) = 0 ⇒ y = 60/5 = 12.

The substitution property of equality says you can make any substitution of equal values anywhere. "butter = margarine" means you can substitute butter for margarine, or vice versa, wherever you may wish.

Answer:

2cm

Step-by-step explanation:

area of parallelogram=b*h=18cm

5*4=20

length of corresponding heights=20-18

=2cm

the length of corresponding height of the parallelogram is : 2cm

A parallelogram can be defined as a simple quadrilateral that is it possesses four sides and two pairs of parallel sides.

A opposite sides of a parallelogram are equal and the opposite angles of a parallelogram are equal.

In conclusion, the length of corresponding height of the parallelogram is : 2cm

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Answer:

5180.56 Dollars...........

Answer:

The mean is the average number of a data set gotten by adding all the numbers then dividing by two.

the median is the middle number in a sorted set of data,either sorted in ascending order or descending order.

I hope this helps

To calculate mean:

• add up all the numbers,

• then divide by how many numbers there are.

Example:

Data: 5, 6, 10, 1

Add these all together, which is 22, then divide by 4 (because that is how many numbers there are), so:

the mean is 5.5

To calculate median:

Arrange your numbers in order.

Cross off numbers until you get to the middle.

If there is an even number of data, then find the two in the middle and find the middle of that.

Example:

Data: 5, 6, 10, 1

Arrange: 1, 5, 6, 10

So, the middle 2 are 5 and 6. In between these would be 5.5, so that is the median.

If the data was: 1, 5, 6, 8, 10,

then the median would be 6.

Answer:

B. 24.

Step-by-step explanation:

3

4 = 2*2

6 = 2*3

8 = 2*2*2

LCM = 2*2*2*3 = 24

Answer: the answer is 3

Step-by-step explanation:

I just took the test

Answer:

D

Step-by-step explanation:

sqrt_{4}(81)^5=(81^(5))^(1/4)=81^(5/4)

Answer:

D

Step-by-step explanation:

if it was properly typed, it would have been All of the above but the most correct option is D.

Answer:

g(x)

because it is a quadratic equation it is mirrored the other one isn’t even a function

The true statement is The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The function g has the axis of symmetry as x = 2, since the values of the function below and above x = 2 changes in the same way.

The function f is a parabola.

The axis of symmetry is also x = 2, since the graph is the same before and after the line x = 2.

So the both the functions have same axis of symmetry.

Maximum value of the function f = 4 at x = 2. Since no other values of f is greater than 4.

At x = 2, the value of g = 3

Maximum value of g = 3

So, maximum value of f is greater than the maximum value of g.

Hence the correct option is B.

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Your question is incomplete. The complete question is as given below.

The graph shows the quadratic function f and the table shows the quadratic function g.

x   : -2     -1      0      1      2      3      4

g(x) -1   0.75    2   2.75   3    2.75   2

Which statement is true?

The functions f and g have the same axis of symmetry, and the maximum value of f is less than the maximum value of g.

The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.

The functions f and g have different axes of symmetry and different maximum values.

The functions f and g have the same axis of symmetry and the same maximum values.

Answer:

y+4=-3(x+8)

Step-by-step explanation:

Answer <1 = 145

< 2= 35

<3 = 35

Step-by-step explanation:

<1 + <4 = 180 (supplementary since you can find corresponding side and straight angle)

<1 = 180-35

=145 degrees

<2 =<4 corresponding angles

<2 = 35 degrees

<3 = 35 degree (corresponding to <2)

Answer:

45360 arrangements

Step-by-step explanation:

Given the word 'robberies'

Number of letters = 9 letters in total

Repeated letters ; r = 2 ; b = 2 ; e = 2

Therefore, the number of distinct arrangement of letters is :

(total letters)! / repeated letters!

The number of distinct arrangement of letters is :

9! / (2! * 2! * 2!) = (9*8*7*6*5*4*3*2*1) / (2*2*2)

362880 / 8 = 45360 arrangements

144 x 1.25 = 180

Answer: 144

Answer:

144

Step-by-step explanation:

144 × 1.25 = 180

We add the 1 to .25 to represent the original value plus the 25% increase.

Or you could have divided 180 by 1.25 to find original price.

Answer:

at 15.39% that should not be sufficient to reject the Null

= "Fail to reject the Null hypothesis"

Step-by-step explanation:

z = -1.02 (L)0.15386 (R)0.84614

84.61% / 15.39%

9514 1404 393

Answer:

  A

Step-by-step explanation:

To form the conjugate, change the sign between terms. Leave the radical alone.

  the conjugate is √(x-5) +2 . . . . matches choice A

[tex]\huge\bold\pink{ANSWER} [/tex]

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

A

[tex] \sqrt{ \times - 5 + 2} [/tex]

tsurezure children

#BrainliestBunch

The Minimum sample size table is attached below

Answer:

[tex]X=173[/tex]

Step-by-step explanation:

From the question we are told that:

Confidence Interval [tex]CI=99\%[/tex]

Variance [tex]\sigma^2=30\%[/tex]

Generally going through the table the

Minimum sample size is

[tex]X=173[/tex]

Answer:

12

Step-by-step explanation:

πr²h=πr²h

π(4.5)²*10=π(x/2)²4.9

Answer:

37/43

Step-by-step explanation:

6+12+14+11=43

Males: 6+14=20

Females: 11+12=23

If the selected person is a teaching assistant or a female, then the probability is 11+12+14=37. 37/43

Answer:

a.

[tex] \frac{36}{40} [/tex]

9514 1404 393

Answer:

 (36°, 67°, 77°)

Step-by-step explanation:

The problem statement lets us write the equations ...

  x + y + z = 180 . . . . sum of angles in a triangle

  y + z = 4x . . . . . 2nd and 3rd total 4 times the first

  z = y +10 . . . . . . 3rd is 10 more than 2nd

__

Substituting for z in the second equation, we have ...

  y +(y +10) = 4x

  y +5 = 2x . . . . . . divide by 2

  y = 2x -5 . . . . . . rearranged

  z = 2x +5 . . . . . . substitute for y in the last equation

Now, we can write the first equation entirely in terms of x:

  x +(2x -5) +(2x +5) = 180

  5x = 180

  x = 36

  y = 2(36) -5 = 67

  z = 67 +10 = 77

The three angles are (x, y, z) = (36°, 67°, 77°).

Answer:

C- 35 °

Step-by-step explanation:

Interior angle adjacent to 90° angle = 90° (supplementary angles of a line segment).

Interior angle adjacent to 125° angle = 55° (supplementary angles of a line segment).

Sum of two interior angles of the triangle = 55+90 = 145°

∠p = 180° - 145° = 35°

Answer:

the answer is x because its small

Answer:

Step-by-step explanation:

It’s Xy

Answer:

D.

Step-by-step explanation:

2=-2，3=-3

2²=-2²，3²=3²

Answer:

Bayes’ Theorem describes the probability of occurrence of an event related to any condition. It is also considered for the case of conditional probability.

For prove refer to the attachment.

Hope this helps you^_^

Answer:

Since we know the dot product of unit vectors, we can simplify the dot product formula to a⋅b=a1b1+a2b2+a3b3. we can use the same formula, but with a3=b3=0, a⋅b=a1b1+a2b2.

Step-by-step explanation:

Answer: SORRY NEED AN ACCOUNT ON - 10

Step-by-step explanation:

To resolve the proposed issue, an explanation is needed in which the subject is addressed

Answer:

27

Step-by-step explanation:

Let T be the capacity of the tank.

Since the tank was 1/3 full and ends up 7/9 full.

         [tex]\frac{7}{9}[/tex]T - [tex]\frac{1}{3}[/tex]T = 12  

Simplifying the left side of the equation, tells us how much 12 gallons fills.

         [tex]\frac{4}{9}[/tex]T = 12

Now we solve for T:

         T = 12*9/4

         T = 27

Answer:

A) 128

B) 7800

Step-by-step explanation:

Trial and error until I got to 75 x 104 and 60 x 128 (which abides by the fact that there has to be 24 more red boxes) which equals 7800 and 7680 and if you take them away from each other you get 120

Answer:

601 in²

Step-by-step explanation:

To obtain the amount of wrapping needed to cover the cube shaped gift box, including the bow

Area of bow = 115 in²

Surface area of cube shaped box = 6a²

a = side length of cube = 9

Hence,

Surface area of gift box = 6 * 9²

Surface area = 6 * 81 = 486 in²

Total wrapping required = area of gift box + area of bow = (486 in² + 115 in²) = 601 in²