I really need help on this!

Answer:

56°

Step-by-step explanation:

1st reason= alternate angles.

2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.

180-124=56

Answer:

Here ya go ! :)

Step-by-step explanation:

[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]

[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]

The new dimensions of the pool are; Width = 9 and Length = 20.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.

[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]

The root of the expression;

[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]

The dimensions are;

Width = 3 + s = 9

Length = 14 + s = 20

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Answer

number

4.D

5.B

6.C

Answer:

4

Step-by-step explanation:

he will have extra but its better then having nothing , and only extra by 1

Answer: 4 packs

Step-by-step explanation: Dario need to buy 4 packs and get

4 ·6=24 cups

Answer: C = {1, 3, 7}

Step-by-step explanation:

Answer:

Option A is your answer ☺️☺️☺️

Answer:

15 feet

Step-by-step explanation:

if the dog run is a rectangles then the formula for the perimeter is 2h+2l

if we plug in the numbers we know we get this:

2h+2(5)=40

2h+10=40

2h=30

h=15

Answer:

-1

Step-by-step explanation:

mean, mu = 135.

Standard deviation = 20

X = 115

use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]

to get (115-135)/20 = -1

Answer:

1440°

Step-by-step explanation:

the formula used for this is (n-2)×180° where n=# of sides in the polygon

Answer:

the final price of the item wud be 15.75

Step-by-step explanation:

Answer:

Step-by-step explanation:jj

Answer:

6 and 19

Step-by-step explanation:

x+2x+7=25

3x=18

x=6

the other number is 19

Answer:

the easiest way to get these numbers is to graph the function, i use desmos.

Step-by-step explanation:

the axis of symmetry is -1

the vertex is -1, 0.5

the domain is all real numbers

the range is all real numbers that are <= 0.5

Answer:

90 degrees

Step-by-step explanation:

A.P.E.X

Answer:

97

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanations are below

Step 1

(100-3)  Observe the equation

Step 2

(100-3)  Simplify

100-(+3)

100-3

Answer: 97

Answer:

m<GLK = 58°

Step-by-step explanation:

Given:

m<GLH = 2x + 6

m<HLJ = x

Required:

m<GLK

Solution:

First, find the value of x

m<GLH + m<HLJ = 180° => Linear Pair Theorem

Substitute

2x + 6 + x = 180

Add like terms

3x + 6 = 180

3x + 6 - 6 = 180 - 6

3x = 174

3x/3 = 174/3

x = 58

m<HLJ = x = 58°

Thus, m<HLJ and m<GLK are Vertical angles.

Therefore:

m<GLK = m<HLJ (Vertical angles theorem)

m<GLK = 58° (Substitution)

Answer:

y-intercept is ( 0 , 5 )

Step-by-step explanation:

Answer:

AN*(B\C)=(ANB)\C=>ANB/C=ANB/C

Answer:

It's true but I don't know if my proof is technical enough for you.

Step-by-step explanation:

Multiplication and division of numbers can happen in any order.

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same ratetion:

The value of the given expression is 5^(3/4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be resolved as shown below,

5² ÷ √5

[tex]= \dfrac{5^2}{\sqrt5}\\\\\\[/tex]

Using the law of exponents, [tex]\sqrt[n]{m} = m^{\frac1n}[/tex],

[tex]= \dfrac{5^2}{5^{\frac12}}\\\\\\[/tex]

Using the law of exponents, [tex]m^x\times m^y = m^{x+y}[/tex],

[tex]= {5^2} \times {5^{-\frac12}}[/tex]

Solving the powers,

[tex]= {5^{2-\frac12}}\\\\= 5^{\frac34}[/tex]

Hence, the value of the given expression is 5^(3/4).

Learn more about Expression here:

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Answer:

17.5 yards

Step-by-step explanation:

Speed is the ratio of distance to time. It is given by the formula:

Speed = distance / time

Mia Hamm is running at a speed of 6.8 yards per second. Let us assume that Mia covers a distance (d) during time (t) when Sissi catches up to her. Hence:

6.8 = d / t

t = d / 6.8

Sissi was 10 yards behind Mia Hamm and running at 8.4 yards per second. Therefore:

8.4 = (d + 10) / t

t = (d + 10)/ 8.4

d / 6.8 = (d + 10)/ 8.4

8.4d = 6.8d + 68

1.6d = 68

d = 42.5 yards

Mia had covered 42.5 yards when Sissi catches up with her. Therefore Mia Hamm distance to goal = 60 yards - 42.5 yards = 17.5 yards

Answer:

i) Mean = 1933.1817

ii) Range = 5684

iii) Third quartile = 6054

Step-by-step explanation:

Given data :

currency exchange rate : 1 AUD = 5.8 HKD

cost of each ounce = 2 AUD

Fixed shipping cost for each carton = 80 HKD

number of cartons = 20

next determine the total cost of the 20 cartons in HKD

= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost

= ∑ ( 160*2*5.8 + 80 )  + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )

= 81756 HKD

i) find the mean value ( X )

= Total cost / number of cartons

= 81756 / 20 = 4087.8

ii) Find the standard deviation

= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex]      note: std =  √∑(xi-X )^2 / (n-1)

= 1933.1817

iii) Find the range

Range = highest cost - lowest cost   ( values gotten from equation 1 )

           = 7650 - 1936

           = 5684

iv) Determine the third quartile

third quartile = 6054

attached below is the detailed solution

Answer:

24 dollars

Step-by-step explanation:

each pound is $1.60 and 15 times $1.60 equals 24

Answer:

$24

Step-by-step explanation:

5/8=15/x

cross product

8*15=5*x

120=5x

x=120/5

x=24

Answer:13

Step-by-step explanation:plug in the the numbers

Answer:20

Step-by-step explanation:

I’m smart

Given:

The table of values.

To find:

The least-squares regression line for the data set in the table by using the desmos graphing calculator.

Solution:

The general form of least-squares regression line is:

[tex]\hat{y}=mx+b[/tex]           ...(i)

Where, m is the slope and b is the y-intercept.

By using the desmos graphing calculator, we get

[tex]m\approx 2.55,b\approx -6.435[/tex]

Substitute these values in (i).

[tex]\hat{y}=(2.55)x+(-6.435)[/tex]

[tex]\hat{y}=2.55x-6.435[/tex]

Therefore, the correct option is A.

The graph of regression line is attached below.

The equation of regression line is [tex]y=2.55x-6.435[/tex]

A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.

First we have to enter the given table in graphing calculator,

After entering the data given into table,

We get,   m= 2.55  and b= -6.435

So that, the equation of regression line is [tex]y=2.55x-6.435[/tex]

Learn more about the regression line here;

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Answer:

4,050 cubic feet

Step-by-step explanation:

The figure is made up of a square pyramid and cube

Therefore:

Volume of the figure = volume of the square pyramid + volume of the cube

✔️Volume of the square pyramid = ⅓*a²h

a = 15 ft

h = 9 ft

Volume of square pyramid = ⅓*15²*9 = 675 ft³

✔️Volume of the cube = s³

s = 15 ft

Volume of the cube = 15³ = 3,375 ft³

✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet

Answer:

115°

Step-by-step explanation:

angles 4 and 5 are alternate angles which means they would be the same amount

Answer:

Solution given:

<5=115°[corresponding angle]