Help with math plz!!!

Answer:

Hypotenuse = 10 cm

Step-by-step explanation:

Given:

Hypotenuse = x cm

Base side = 5 cm

Cos(60) = 0.5

Find:

Hypotenuse = x cm

Computation:

Cos(60) = Base side / Hypotenuse

0.5 = 5 cm / Hypotenuse

Hypotenuse = 5 / 0.5

Hypotenuse = 10 cm

Answer:

x = 5.5

EF = 14

Step-by-step explanation:

We can use ratios to solve

AG                  7

----------- =  -----------------

EG                   2x+3

We know that EG is 2 times AG since A is the midpoint

AG                  7

----------- =  -----------------

2 AG                   2x+3

Canceling like terms

1                  7

----------- =  -----------------

2                    2x+3

Using cross products

1 (2x+3) = 2*7

2x+3 = 14

Subtract 3 from each side

2x+3-3 = 14-3

2x =11

Divide by 2

x = 11/2

x = 5.5

EF = 2x+3 = 2*5.5+3 = 14

Answer:

Up 5

Right 2

Step-by-step explanation:

Lets graph it first.

Look at the image below ↓

By looking at it we can tell that it is not narrower or wider but it has been sent up 5 and right 2.

Thus,

it has been moved up 5 and right 2.

Hope this helps :)

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

thus (x - 2)² represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus + 5 represents a shift up by 5 units

Overall the graph of y = (x - 2)² + 5 is the graph of y = x²

shifted right by 2 units and up by 5 units

Answer:b=-43.38

Step-by-step explanation:

Answer:

c= 7/3

Step-by-step explanation:

To solve for c:

Simplify the equation by moving all numbers to one side and variables to the other

    -9c-4=-25

    -9c= -25+4

    -9c=-21

Now isolate c by dividing both sides by its coefficient (-9)

      c= -21/-9

Since the (-) cancel out, this simplifies to:

      c= 21/9

Now reduce the fraction by dividing the right hand side by a common value of 3:

      c= 7/3

Answer:

x ≈ - 5.32 , x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4, that is

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Thus

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )

Answer:

x=-5.32 or x=1.32

Answer:

The correct option is;

Exponential function 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

Step-by-step explanation:

The given functions are;

f(x) = 2x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 6, 10, 14, 18

f(x) = 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

f(x) = 2·x² + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 10, 34, 74, 130

f(x) = 3·x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 8, 14, 20, 26

By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2

Answer: The answer is B on edg

Step-by-step explanation:

Answer:

≈ 18.87 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the trapezium and the semicircle.

The area (A) of the trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h( a + b)

where h is the height and a, b the parallel bases

Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus

A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²

area of semicircle = [tex]\frac{1}{2}[/tex]πr² = [tex]\frac{1}{2}[/tex]π × 4² = 8π cm²

Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places )

Answer:≈ 18.87 cm²

Step-by-step explanation:

Answer:

≈ 18.87 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the trapezium and the semicircle.

The area (A) of the trapezium is calculated as

A = h( a + b)

where h is the height and a, b the parallel bases

Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus

A = × 4 × (14 + 8) = 2 × 22 = 44 cm²

area of semicircle = πr² = π × 4² = 8π cm²

Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places

Answer:

2x-30

Step-by-step explanation:

Expand: 7x-5x-30

=2x-30

Answer:

Answers are below

Step-by-step explanation:

1. List all possible outcomes

HHH HHT  HTH  HTT  TTT  THH  THT  TTH  

2. The probability of tossing 2 tails and 1 head is 3/8.

3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 1 tail.

Answer:[tex]\color{yellow}{}[/tex]

1. List all possible outcome

HHH HHT HTH HTT TTT THH THT TTH

2. The probability of tossing 2 tails and 1 head is 3/8

3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 2 tail.

Answer:

Variable

Step-by-step explanation:

A variable is a letter or symbol used as a placeholder for an unknown value in an expression or equation.

Hope this helps..

Good Luck!

Answer:

variable

Step-by-step explanation:

A symbol use to represent an unknown value in an expression or an equation is called a variable.

Step-by-step explanation:

530pm = 17:50 in 24hr/military time

915pm = 21:15 in 24hr/military time

therefore..

24hr/military time. 21:15 - 17:50 = 3.65hr

our time. 3hr 45min

It took Sarah 3 hours and 45 minutes to finish her homework

The answer in 24 hour clock system is 3:45

The calculation can be done as follows

Sarah started her home work at 5:30 pm

She finished at 9:15pm

The time range here is 3 hours, 45 minutes

Please see the link below for more information

https://brainly.com/question/24991186?referrer=searchResults

Answer:

48

Step-by-step explanation:

81 - 33 = 48

Answer:

48

Step-by-step explanation:

81 - 33 = 48

Do 81 - 30 first = 51

Then do 51 - 3 = 48

Answer: a = 3∛2

Step-by-step explanation:

ab⁴ = 384     --> a = 384/b⁴

Substitute a = 384/b⁴ into the second equation to solve for "b".

   a²b⁵ = 4608

[tex]\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b[/tex]

Substitute b = 2∛4 into the first equation to solve for "a".

ab⁴ = 384

a(2∛4)⁴ = 384

        a  = 384/(2∛4)⁴

        a = 24/4∛4

           = 6/∛4

           = 6(∛2)/2

           = 3∛2

Answer:

36

Step-by-step explanation:

quick maths

Answer:

36 rectangles

Step-by-step explanation:

Assuming that all you are asking for is the individual number of squares (not the number of squares and rectangles that can be made when combining the individual ones), the answer is 36.

We get this by multiplying the six squares on one side by the six on the other side. This allows us to calculate the total number! You can do this on a calculator or by hand.

However, if you would like the TOTAL number of rectangles that includes combining the individual ones, this chessboard would have 91 squares and 441 rectangles.

Answer:

Step-by-step explanation:

If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.

If we introduce a constant of proportionality, k , the relationship would be

t = kg

Given that

When t = 18, g = 10, then

18 = k × 10

k = 18/10 = 1.8

Therefore, the equation representing the relationship is

t = 1.8g

Answer:

answer is a

Step-by-step explanation:

Answer:

x > 3

Step-by-step explanation:

Given 2 sides of a triangle then the third side x will be

difference of sides < x < sum of sides , that is

15 - 12 < x < 15 + 12, so

3 < x < 27

Thus x > 3

Answer:

C. 3

Step-by-step explanation:

x > 3

Ed 2020

Answer:

Option 1

Step-by-step explanation:

=> [tex]x^2-4x+2 = 10[/tex]

Adding 2 to both sides to complete the square

=> [tex]x^2-4x+4 = 12[/tex]

Completing the square

=> [tex](x-2)^2= 12[/tex]

Answer:

Step-by-step explanation:

exact form:

x=+2\sqrt(3+2)

decimal form:

x=5.46410161

Answer:

The gap in the histogram simply means that: out of all the automobiles sampled, there were none with number of miles driven between 17,500 miles and 32,500 miles.

Step-by-step explanation:

The histogram in question is missing from the question. It was obtained online and is attached to this solution.

A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.

If the bars are of equal width, the height of each bar corresponds to the frequency of the interval represented by that bar. If not, the frequency is given by the area of each bar (this is the major difference between a Bar chart and a histogram).

For this question, the histogram shows the number of miles driven by a sample of automobiles in New York City, the frequency of automobiles in each interval of miles driven is presented on the y or vertical axis and the miles driven is shown on the x-axis.

It is clear that 50 automobiles are in this sample and the class width of each interval of miles driven is 5000 miles.

So, the gap in between this histogram between the interval just after 17500 miles driven and just before 32500 miles driven simply means that none of the automobiles sampled had number of miles driven within this range.

Hope this Helps!!!

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

the shape is a trpizoid with height y

A=(a+b)/2 *h (a=2x=4cm, h=y=4cm, b=2z=12 cm

A=(4+12)/2 * 4

Area=16/2 *4=8*4= 32 cm²

Answer:

24 Centimeters

Step-by-step explanation:

what you want to do is split it up, make two triangles (the sides), and one big square. The square has the dimensions 4 by 4 which has the area of 16. The two triangles have the dimensions 2 by 4, which would be 4 and because there are two, the triangles equal 8. 16+8=24

Hope this helps. :)

Answer:

x = 6

Step-by-step explanation:

For this, we simply can use similar triangles to build proportions to find the value of x.

The base of one triangle is 4 with a hypotenuse of x.

The base of the second triangle is x with a hypotenuse of 4+5.

Hence, we can build this proportion:

x/9 = 4/x

Now we solve for x in this proportion:

x/9 = 4/x

x * x = 9 * 4

x^2 = 36

x = 6

Now we know the value of x=6.

Cheers.

Answer:

[tex]e=-2[/tex]

Step-by-step explanation:

Given: [tex]0.75(8+e)=2-1.25e[/tex]

Step 1: Distribute the Left-Hand Side

[tex]0.75*8+0.75*e=2-1.25e\\6+0.75e=2-1.25e[/tex]

Step 2: Collect like terms

[tex]0.75e+1.25e=2-6\\2e=-4[/tex]

Step 3: Divide both sides by 2

[tex]e=-2[/tex]

Answer:

E=-2

Step-by-step explanation:

I got this right on Khan!

Hope this helps! ;)

Step-by-step explanation:

1/3 and 5/2 can be shown as:

points with 1/6 interval on the number line:

0, 1/6, 2/6, 3/6, 4/6, ..., 15/6

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y  

1/5x - 2/3(15) = 30

multiply  

1/5x - 10 = 30

isolate the variable  

1/5x = 40

multiply each side by 5  

x = 200

Answer:

x = 200

Step-by-step explanation:

1/5x - 2/3y = 30

Put y as 15 and evaluate.

1/5x - 2/3(15) = 30

1/5x - 30/3 = 30

1/5x - 10 = 30

Add 10 on both sides.

1/5x = 40

Multiply both sides by 5.

x = 200

Answer:

Certain.

Step-by-step explanation:

When the probability of choosing an apple-flavored juice box without looking is 1, that means you have a 100% chance of getting it. There's no way you can miss, so it is certain.

Hope this helps!

Answer:

certain

Step-by-step explanation:

since the outcome is a 100% the answer is certain

Answer:

Solution,

[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\ = 7 \sqrt[3]{2x} - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x} - 3 \times \sqrt[3]{2 \times 2 \times 2x} \\ = 7 \sqrt[3]{2x} - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 3 \times 2 \times \sqrt[3]{2x} - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Length of AB is 12

Step-by-step explanation:

Here, we are concerned with finding the full length of line AB, given the distance between the midpoint of the line AB and the point B itself

What this means is that, the distance of the halfway of the full length is 6

So the total distance would be twice the halfway distance

So if the halfway distance is 6, then the full distance would be 6 * 2 = 12

So the length of AB = 12

In the sequence 5,10,20,40,80.. I can see that it is doubled each time.

Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.

Good luck! Stay safe!

- Eli <3

Answer:

? = 44 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

tan ? = 46/48

Take the inverse tan of each side

tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)

   ? = 43.78112476

To the nearest degree

? = 44 degrees