Solve AGHI. Round the answers to the nearest hundredth.
A. m/Gs 61.93°, m1s 28.07°, HI = 15
B. m/Gs 28.07°, m/1 61.93°, HI = 18.79
C. m/Gs 61.930, m1 28.07°, H/= 18.79
D. m/G 28.07°, m/1 61.93°, HI = 15

Answer:

m+k=hw

m=hw-m

always conside BODMAS rule and subject

The required distance is 16.40 km.

This problem can be solved if we know the concept of speed, time and distance.

We know the speed=[tex]\frac{distance}{time}[/tex]

To solve the problem let us assume that the total distance between the workplace and home is x km.

Given that his speed while going from home to work is 45 mph and while returning is 35 mph.

Time for the complete journey is [tex]\frac{5}{6}hr[/tex].

Now according to question;

   [tex]\frac{x}{45}+\frac{x}{35}=\frac{5}{6}[/tex]

⇒[tex]\frac{7x+9x}{315}=\frac{5}{6}[/tex]

⇒[tex]16x=\frac{5*315}{6}[/tex]

⇒ [tex]x=\frac{5*315}{6*16}[/tex]

∴ [tex]x=16.40\ km[/tex]

So, the required distance is 16.40 km.

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Based on the total payroll of the football team and the total payroll of the baseball team, the difference is 2.7763 x 10¹¹

The total payroll of the baseball team is:
= 2.37 x 10⁹

= $2,370,000,000

The total payroll of the football team is:

= 2.8 x 10¹¹

= $280,000,000,000

The difference is:

= 280,000,000,000 - 2,370,000,000

= $277,630,000,000

In scientific notation this is:

= 2.7763 x 10¹¹

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Answer:

b 2.7763 x 1011

Step-by-step explanation:

Answer:

Step-by-step explanation:

30/7 = 4 2/7

Because 7 only goes into 30, four times (7 x 4 = 28) anything else would be too big.

7 goes into 30 four times, and you get left with a remainder of 2

So you write 4 wholes, then 2/7 because 2 is the remainder it goes on top, and 7 stays in the denominator (bottom)

Answer: 72

Step-by-step explanation: First step that I did was to subtract 12 and 4 to get 8. I then subtracted 3 and 2 to get 1. Then since 8 and 1 are in the parenthesis, I multiplied 8 and 1 to get 8. 8 to the 2nd power then comes out to 64. 64 adding the square root of 64 which is 8 then comes out to 64 plus 8 because the square root of 64 is 8. 64 plus 8 equals 72.

Rita is left with $25

Rita has $300

She spent 1/3 of the money on notebook

= 1/3 × 300

= 100

Rita also spent 1/4 of the money on stationary item

1/4 × 100

= 25

Hence Rita is left with $25

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Answer:

Length= 19 yd

Width= 15 yd

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all its sides.

Mathematically, it can be represented as below:

[tex]\boxed{\text{Perimeter of rectangle}=2\text{(length}+\text{width)}}[/tex]

Define variables used:

Let the length and width of the rectangle be L and W yards respectively.

Form an equation:

Given that the length of the rectangle is 4 yards longer that the width,

L= W +4 -----(1)

Next, form another equation using information on the perimeter.

68= 2(L +W) -----(2)

Substitute equation (1) into (2):

68= 2(W +4 +W)

68= 2(2W +4)

Divide both sides by 2:

34= 2W +4

Subtract both sides by 4:

2W= 34 -4

2W= 30

Divide both sides by 2:

W= 30 ÷2

W= 15

Substitute W= 15 into (1):

L= 15 +4

L= 19

Therefore, the length and width of the rectangle is 19 and 15 yards respectively.

Additional:

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Answer:

1) -√9

2) √18

3) |4.5|

Step-by-step explanation:

-√9 = -3

√18 = 4.2426406871 = 4.2

|4.5| = 4.5

↑

Absolute value - Those two lines mean that any number, positive or negative, will be positive.

Hope this helps :)

Answer:

g(0) = 3

Step-by-step explanation:

Hello!

Substitute 0 for x in the equation.

g(0) is 3.

The compound inequalities for all the balls that are sports regulated are  { (x,y) : 2(1/2) ≤ x ≤ 2(5/8) and 2 ≤y≤ 2(1/6) } for Tennis ball.

{ (x,y) : 2(7/8) ≤ x≤ 3 and 5≤ y ≤ 5(1/4) } for Baseball.

{ (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 } for women's Basket ball.

{ (x,y) : 21.64 ≤x ≤ 22.28 and 14.46 ≤ y ≤ 15.87 } for Scoccer Ball.

Suppose we are given { (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 } this reads as The set of all x comma y such that x is between this range and y is between in this range.

Sports regulations have some rules that the diameters and weights of sports pieces of equipment must lie between the regulations that have been set.

We are denoting the Diameters of the balls as x in inches and the weights of the balls as y in ounces.

Now for a Tennis ball the range for x and y can be written in roaster form of set is { (x,y) : 2(1/2) ≤ x ≤ 2(5/8) and 2 ≤y≤ 2(1/6) }.

For Baseball it is { (x,y) : 2(7/8) ≤ x≤ 3 and 5≤ y ≤ 5(1/4) }.

For women's Basketball it is { (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 }.

For Soccer ball the set in roaster form can be written as

{ (x,y) : 21.64 ≤x ≤ 22.28 and 14.46 ≤ y ≤ 15.87 }.

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Answer:

q = 6

Step-by-step explanation:

|q - 8| = 14

The negatives within an absolute value turn positive so it's really:

q + 8 = 14

q = 6

Using proportions, it is found that Carl would have 60 more hits in 500 turns.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Billy's proportion is of 28/100, hence his amount of hits in 500 turns is:

500 x 28/100 = 140 hits.

Carl's proportion is of 1/2.5, hence his amount of hits in 500 turns is:

500 x 1/2.5 = 200 hits.

The difference is:

200 - 140 = 60 hits.

Carl would have 60 more hits in 500 turns.

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Answer:

D:function, E:not a function

Step-by-step explanation:

We can figure this out using the line test. To do the line test you draw multiple straight, vertical lines along the graph, and if at any point the figure in question touches one of the lines multiple times, that figure is not a function.

:D

Answer: I hope this helps.

Step-by-step explanation:

The change as a percentage is 6.7 %

The price of the building in the year 2021 is $4,200,00

The price of the building in 2021 is $4,500,000

Therefore the percentage change can be calculated as follows

= 4,500,000 - 4,200,000/4,500,000 × 100

= 300,000/4,500,000 × 100

= 0.066 × 100

= 6.7 %

Hence the percentage change is 6.7%

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Answer:

3 nickels and 7 dimes.

Step-by-step explanation:

Let +n+ = number of nickels

Let +d+ = number of dimes

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

(1) +5n+%2B+10d+=+85+

(2) +d+=+n+%2B+4+

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

Substitute (2) into (1)

(1) +5n+%2B+10%2A%28+n+%2B+4+%29+=+85+

(1) +5n+%2B+10n+%2B+40+=+85+

(1) +15n+=+45+

(1) +n+=+3+

and

(2) +d+=+n+%2B+4+

(2) +d+=+3+%2B+4+

(2) +d+=+7+

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

There are 3 nickels and 7 dimes

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

check:

(1) +5n+%2B+10d+=+85+

(1) +5%2A3+%2B+10%2A7+=+85+

(1) +15+%2B+70+=+85+

(1) +85+%2B+85+

OK

Answer:

  C)  P(1, -26/7)

Step-by-step explanation:

You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.

Each of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.

  P = (2A +5B)/(2+5)

  P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7

  P = (1, -26/7)

The coordinates of P are (1, -26/7).

Answer:

False

Step-by-step explanation:

32 marbles are blue
32/100 = 32%, not 68%

Step-by-step explanation:

so it starts with

182 = 182 × 3 / p

as the price is inversely related to D.

(a)

so, in general

D = 182 × 3/p = 546/p

(b)

D = 546/3.25 = 168 bags

if the price increases to $3.25, then they will sell only 168 bags.

I am sure, the function will not stay linear for every value of p. for example, if they increase the price to $546 per bag, they would still sell 1 bag. but I am certain, they would fall to 0 sold bags much, much earlier than that ...

The answer of the given equation will be  -6 - 3.3v

For doig the sum we need to first know what is algebric simplification

So Algebric Simplification is basically  is writting the same algebric expression with no same term in a compact manner. For solving the simplification weed to first group the like terms and solve the brackets first if any then in that simplified equation we will be left with unlike variables that cannot be simplified further.

To make it more easier remember the rule of BODMAS it stands for Brackets Of Dvision Multiplication Addition Substraction in any sum where it will be asked to simplify any expression we will go by the order of the above BODMAS rule first we will solve the brackets after that divisions then multiplications followed bty addition and subtraction .

In the given sum as these r not given we will simply group the expressions with alike variable that is (5.2v - 8.5v) which will result in - 3.3v and we cannot to  do any further calculations so the answer will be -6 - 3.3v

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[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}y^2\stackrel{\stackrel{b}{\downarrow }}{-7}y\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad y= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ y= \cfrac{ - (-7) \pm \sqrt { (-7)^2 -4(1)(-9)}}{2(1)} \implies y = \cfrac{ 7 \pm \sqrt { 49 +36}}{ 2 } \\\\\\ y= \cfrac{ 7 \pm \sqrt { 85 }}{ 2 }\implies y= \begin{cases} \frac{ 7 + \sqrt { 85 }}{ 2 }\\[1em] \frac{ 7 - \sqrt { 85 }}{ 2 } \end{cases}[/tex]

Answer: mark as brainliest please

Step-by-step explanation:
V=4/3 x 3.14 x 3^3

V= 113.04

SA= 4 x 3.14 x 3^2

SA= 113.04

The area of the region inside the rectangle that surrounds the square is; 162 square meters

We are given that;

Side length of square = 6 m

Width of rectangle = 11 m

Length of rectangle = 18m

Thus;

Area of rectangle = width * length = 11 * 18 = 198 square meters

Area of square = side * side = 6 * 6 = 36 square meters

Area of region inside rectangle not inside square = (area of rectangle) - (area of square) = 198 - 36 = 162 square meters

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Answer:

u = 7 OR u = 13

Step-by-step explanation:

Using the zero property of multiplication, you know you have to make either u-7 or u-13 equal to zero. You get the two solutions from these two cases, where you make either of the equations equal to 0:

u - 7 = 0

Add 7 to both sides

u = 7

u - 13 = 0

Add 13 to both sides

u = 13

FINAL ANSWER: u = 7 OR u = 13

Answer:

52/129

Step-by-step explanation:

Answer: y = 12x − 9

Step-by-step explanation:

Let's solve for y

-1/3y +4x = 3

Step 1: Add -4x to both sides.

4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3

Step 2: Divide both sides by (-1)/3.

-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9

The relation 7 is a function and the relation 9 is not function.

Relation 7

The relation is given as

{(-3, -3), (-2, -2), (-1, -1), (0, 0)}

For a relation to be a function, no x value must point to multiple y value

Using the above statement as a guide, the relation is a function.

This is so because each domain value {-3, -2, -1, 0} point to different range value {-3, -2, -1, 0}

Function 9

The relation is given as

{(1, 4), (1, 5), (1, 6)}

For a relation to be a function, no x value must point to multiple y value

Using the above statement as a guide, the relation is not function.

This is so because each domain value {1} point to the same range value {4, 5, 6}

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Answer:

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Step-by-step explanation:

The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.

So, the domain is

[tex]x \in \mathbb{R}-\{0,1\}[/tex]