On the grid below, draw a right triangle with vertices at E (2,2), F(2,8), and G(10,8). Find the lengths of these three sides. If necessary, round to the nearest tenth

Answers

Answer 1

Answer:

The lengths of the sides are 6, 8 and 10.

Step-by-step explanation:

The vertices of a right angles triangle are E (2,2), F (2,8), and G (10,8)

The distance between the two points is

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

So, the lengths of the sides are

[tex]EF=\sqrt{(8-2)^2+(2-2)^2} = 6 \\\\FG=\sqrt{(8-8)^2+(10-2)^2} = 8 \\\\GE=\sqrt{(8-2)^2+(10-2)^2} = 10 \\[/tex]


Related Questions

Question 3 of 10
of the way from
What is the location of the point on the number line that is
A = 5 to B = 23?
O
A. 8
B. 9
C. 10
D. 7

Answers

Answer:

B. 9

Step-by-step explanation:

solve it and u will find out

Representa en lenguaje algebraico el siguiente enunciado: La mitad de un número aumentado en seis unidades

Answers

A: because I get it right

Please help me lovee<3

Answers

It is b yes she was right

Adam builds model rockets. Where he lives, his backyard is 12 feet below sea level. When he ignites his rocket, it flies a maximum of 350 feet straight up into the air before releasing its parachute. What is the altitude of Adam’s rocket at its highest point, as measured from sea level

Answers

Answer:

338 feet

Step-by-step explanation:

350 - 12 = 338

find the area of the circle use 3.14 for it d = 10 cm a = ? cm^2

NO TROLLS TY

Answers

Answer:

78.5 cm²

Step-by-step explanation:

GIVEN :-

Diameter of the circle (d) = 10 cmπ = 3.14

TO FIND :-

Area of the circle (a)

FORMULAES TO BE USED IN THIS QUESTION :-

[tex]Radius = \frac{Diameter}{2}[/tex][tex]Area = \pi \times (Radius)^2[/tex]

SOLUTION :-

[tex]Radius\: (r) = \frac{Diameter}{2} = \frac{10}{2} = 5 cm[/tex]

[tex]=> Area = \pi r^2[/tex]

               [tex]= 3.14 \times (5)^2[/tex]

               [tex]= 3.14 \times 25[/tex]

               [tex]= 78.5 \: cm^2[/tex]

               

Work out angle bxc give a reason for each angle you work out

Answers

Answer:

is there a pic to go along?

Step-by-step explanation:

? i need a pic

Given(a*b)*c=a*(b*c) what property does this represent

Answers

Answer:

The associative property allows us to change groupings of addition or multiplication and keep the same value. (a+b)+c = a+(b+c) and (a*b)*c = a*(b*c).

Step-by-step explanation:

in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the terms or factors may be associated in any way desired.

Answer:

Associative

Step-by-step explanation:

A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement

Answers

Answer:

AUB= {1,2,3,5,6,7,9}

AnB={1,2,3}

Help me to do this question plz ​

Answers

2x+10 = x+25 (being vertically opposite angle)

2x-x = 25-10

x = 15

Answer:

x = 15

Step-by-step explanation:

The 2 angles are vertical angles and congruent, then

2x + 10 = x + 25 ( subtract x from both sides )

x + 10 = 25 ( subtract 10 from both sides )

x = 15

PLEASE HELP QUICKLY LIKE IN THE NEXT 5 mins plz !!) The function MX) = -x - 4x + 5 is shown on the graph.
Which statement about the function is true?
12
(-2,9).
O The domain of the function is all real numbers less
than or equal to -2
O The domain of the function is all real numbers less
than or equal to 9
The range of the function is all real numbers less
than or equal to -2.
The range of the function is all real numbers less
than or equal to 9.
12
12
-10

Answers

Step-by-step explanation:

you did not show us the graph, and your problem description is a bit gibberish - I am sure there are some important parts missing.

therefore it is impossible to answer this.

Question 1 of 10
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
According to the table, how many hours of training would you
need to have a monthly pay of $2450?

Answers

Answer:

90 hours of training would you need to pay

Answer:

90hours

Step-by-step explanation:

Addition of 10 hours= Addition of 150$

an=a+(n-1)d

2450=1250+(n-1)(150)

120/15=n-1

8+1=n

n=9

and 9x10=90 (each n=10hours)

Thus:

B. 90 hours

Brianliest please

What is the value of the expression below?

2[3(4+1)]-2

Answers

Answer:

28

Step-by-step explanation:

2[3*5]-2

2*15-2

30-2

28

hey, pls help, i'll mark brainliest if ur answer is correct

20% of the roses Annette picked from a rose garden were red. If she picked 10 red roses, how many roses did she pick from the garden?

a. 50 roses

b. 40 roses

c. 30 roses

d. 20 roses

Answers

Answer:

the answer is A

Step-by-step explanation:

20% + 20% = 40% = 20 Red roses

40% + 40% = 80% = 40 Red roses

80% + 20% = 100% = 50 Red Roses

The pair of triangles below have two corresponding parts marked as congruent. What additional information is
needed for a HL congruence correspondence?

A. ∠M≅∠H
B. LM≅JK
C. LM≅JH
D. LN≅JK
(there is a line above the letters besides a)

Answers

Answer:

C. LM ≅ JH

Step-by-step explanation:

The criteria that needs to be satisfied before two right triangles can be said to be congruent to each other is by the Hypotenuse-Leg Theorem are:

1. Both must have a corresponding leg that are congruent to each other.

In the diagram given above, NM is congruent to KH. They are corresponding legs that are congruent.

2. The hypotenuse of one triangle must be equal to that of the other.

We are not given if the hypotenuse of one, LM is congruent to the hypotenuse of the other, JH.

Therefore, the additional information required would be:

LM ≅ JH

complete the table of values for y=2x+3

Answers

ANSWER:
x: -2, -1, 0, 1, 2
y: -1, 1, 3, 5, 7
:)

Helppppppppp meeeeeeeeeeeeeeee

Answers

Answer:

x = 16

Step-by-step explanation:

(5x + 14)° + (x + 19)° + (2x + 19)° = 180°

8x + 52 = 180

8x = 128

x = 16

Describe the pattern and determine what the next number in pattern 6,1,-4,-9,-14 , ?

Answers

Answer:

i subtract 5 from each term

Step-by-step explanation:

6 - 1 = 5

1 - (-4) = 5

-4 - (-9) = 5

-9 - (-14) = 5

edited:

next number: -19

-14 - 5 = -19

hope this helped!

minus 5 every time is the pattern

cept WHP
There is a line whose y-intercept is -2 and whose slope is 10. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y =

Answers

y = 10x - 2
A simple task as the gradient and intercept were given

I need help........... ​

Answers

Answer:

4

Step-by-step explanation:

Break down the shape into a rectangle and a triangle

To find the base of the triangle subtract

(3x-1)-(x+1)= 2x-2

which means the area of the triangle is

.5(2x-2)(x-1)= x²-2x+1

Let's then find the area of the rectangle

(x+1)(x-1)= x²-1

Take the sum and set this equal to 40

(x²-2x+1)+(x²-1)=40

simplify...

2x²-2x-40=0

x²-x-20=0

(x-5)(x+4)=0

Reject the negative answer and get x=5

Then it's just a matter of plugging in x=5 for the height (x-1)

5-1=4 which is the final answer

Answer:

4 cm.

Step-by-step explanation:

Area formulas:

A(Rectangle) = bh

A(Triangle) = 1/2bh

A(Trapezium) = A(Rectangle) + A(Triangle)

Use the information given and substitute the values to solve for the missing height:

A(Rectangle) + A(Triangle) = A(Trapezium)

bh + 1/2bh = 40

(x + 1)(x - 1) + 1/2(2x - 2)(x - 1) = 40

x² - 1 + x² - 2x + 1 = 40

2x² - 2x = 40

2x² - 2x - 40 = 0

Use Quadratic Formula to solve for x:

a = 2, b = -2, c = -40

x = (-b ± √(b² - 4ac))/2a

x = (-(-2) ± √((-2)² - 4(2)(-40)))/2(2)

x = (2 ± 18)/4

x = 5 and x = -4

Since we cannot have a negative height, we use x = 5:

h = (5) - 1 = 4

Therefore, the height of the trapezium is 4 cm.

seratus di tambah dua puluh berapa?​

Answers

Answer:

120

Step-by-step explanation:

▶️ Penyelesaian:

100

20 +

120 ✅

Answer:

what?

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of a leg is 3x−7. The perimeter of the triangle is 77. Find x.

Answers

Answer: x=13


Step 1: Define isosceles triangle

In an isosceles triangle, two sides and angles are equal. The equal sides will be the legs.

Step 2: Write an equation

To write an equation we must first consider the information discussed in step 1. Since we know that the legs will be equal, we will add that to the equation twice. The base and legs will be on one side of the equation, and the perimeter will be on the other. Now we can write the equation!

x+3x-7+3x-7=77

Step 3: Combine like terms

Like terms are terms that share the same variable, or lack of. Let’s add/subtract these now.

x+3x-7+3x-7=77
7x-14=77

Step 4: Solve for x

Let’s do the last part of the equation and solve for x, our final answer.

*Rewrite equation*
7x-14=77
*Add 14 to both sides*
7x=91
*Divide 7 on both sides*
x=13

This is your answer. Hope this helps! Comment below for more questions.

2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.

Project Erie

Time 0 1 2 3 4 5

Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250


Answers

Answer:

IRR = -5.19%

MIRR =  3.33%

The company should reject the project

Step-by-step explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator

Cash flow in year 0 = -$12,000

Cash flow in year 1 = $2,360

Cash flow in year 2 =  $4,390

Cash flow in year 3 = $1,520

Cash flow in year 4 = $980

Cash flow in year 5 = $1,250

IRR = 5.19%

The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.

MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n)  - 1

n = number of years

present value of the firm's cash outflow = $12,000

Future value of a firm's cash inflow

Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51

Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63

Future value of year 3's cash flow =$1,520  x (1.12^2) = $1906.69

Future value of year 4's cash flow = $980 X 1.12 = 1097.60

Future value of year 5's cash flow = 1250

Add the future values together = $14,135.43

($14,135.43 / $12,000)^0.2 - 1 = 3.33%

The project should be rejected because the IRR is negative.  

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

how to find the area of triangle?​

Answers

Answer:

[tex](i). \\ { \tt{area = 2(\frac{1}{2} \times base \times height}} )\\ = 4 \times 3 \\ = 12 \: sq \: units \\ \\ (iii). \\ = \frac{1}{2} \times 8 \times 6 \\ = 24 \: sq \: units \\ \\ (ii). \\ = \frac{1}{2} \times 12 \times 5 \\ = 30 \: sq \: units[/tex]

Which expressions are equivalent
27x/9x

Answers

Answer:

3x

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You have [tex]\frac{27x}{9x}[/tex]

You can factor out the x in the numerator and denominator to get [tex]\frac{27}{9}[/tex]

You can further simplify this by factoring out a 9 => [tex]\frac{3(9)}{(9)}[/tex]

Thus getting 3

In the right triangle shown in the diagram below,
what is the value of x to the nearest whole number?

Answers

Answer: (3) 21

Step-by-step explanation: 20.78 rounded to 21


help me..........
only 12......​

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

the answer is in the image above

!!I NEED AN ANSWER QUICKLY!!

Answers

Answer:

Step-by-step explanation:

Ans:A.

6×5÷2×11=165

Answer:

A

Step-by-step explanation:

The volume (V) of the tent is calculated as

V = Al ( A is the area of the triangular end and l is its length )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 5 and h = 6 , so

A = [tex]\frac{1}{2}[/tex] × 5 × 6 = 15 ft² , then

V = 15 × 11 = 165 ft³ → A

Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box release mouse evaluate

Answers

Answer:

1/9

Step-by-step explanation:

0.1(repeating)

Square root of 556516 by long division method.​


Please any Mathematics Moderator:(


Help me please!:(

Answers

Step-by-step explanation:

hear is your answer but I am not moderator

answer is 746

find the Hcf of 15 30 90​

Answers

Answer:

15=3*5

30=5*6

90=5*3*5*2*3

So, HCF=15

Step-by-step explanation:

Hope it helps

Step-by-step explanation:

Hey there!

HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.

The given numbers are: 15,30,90.

15 = 3*5

30 = 2*3*5

90 = 2*3*3*5

Now, from the above solutions take all the common factors.

From the factors of all three numbers, 3*5 are common.

Therefore, the HCF of the numbers is 3*5 = 15.

Hope it helps!

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