Mathematics High School

Given the diagram shown below, find the value of 3x

Answers

Answer 1

Answer:

x= 6

Step-by-step explanation:

by using Pythagoras theorem

(30)={(9x^2+ 16x^2)}1/2

30= 5x

x= 30/5

x= 6

Answer 2

Answer:

Step-by-step explanation:

The triangle is a right triangle with sides 3x, 4x, 5x.

5x = 30

x = 6

3x = 3(6) = 18

Answer: 18

Related Questions

A triangle has one side which is 1 foot long and another side which is 2 feet long.
Write a value that could be the length of the third side, in feet. Show your work.

Answers

Answer:

Is the triangle a right triangle?

2 easy questions for 35 points

Answers

Answer:

for question 5

(1) 9x > 3x + 6

6x > 6

x=1

(2) $100-$10=$90

$90/5=18

Joan would need to work 18 hours

for question 6

P+ (PRT)/100

475 + 475(8.5)(12)/100

475+484.5

= 959.5

I hope this helped you ;)

The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's account is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?

Answers

Answer:

Balance in Zac's account = - $24.63

Step-by-step explanation:

Given:

Balance in Al's account = $32.60

Balance in Dee's account = 3/4 the balance in Al's account

Balance in Zac's account = balance in Dee's account - $49.08

Find:

Balance in Zac's account

Computation:

Balance in Dee's account = 3/4 the balance in Al's account

Balance in Dee's account = [3/4][32.60]

Balance in Dee's account = $24.45

Balance in Zac's account = balance in Dee's account - $49.08

Balance in Zac's account = $24.45 - $49.08

Balance in Zac's account = - $24.63

Complete the square to re-write the quadratic function in vertex form: y = x ^ 2 - 2x - 8

Answers

Answer:

[tex]y=(x-1)^2-9[/tex]

Step-by-step explanation:

[tex]y=x^2-2x-8[/tex]

To complete the square:

[tex]\frac{b}{2}=(-1)^2=1[/tex]

[tex]y=x^2-2x-8[/tex]

[tex]+9[/tex] [tex]+9[/tex]

[tex]y+9=x^2-2x+1[/tex]

[tex](x-1)^2=y+9[/tex]

[tex]-9[/tex] [tex]-9[/tex]

[tex]y=(x-1)^2-9[/tex]

= ( + ) = ( + ) = ( + )

Answers

what?? do nothing ig

oh well the answer is = (+)

The shapes that 5 students drew are shown below

Answers

The answer is b because Ashley and Camden are the only quadrilaterals

The shapes that are quadrilateral drawn by the students are Ashley , Camden and Hayden

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the quadrilateral drawn by the respective students be A

Now , the value of A is

The quadrilateral drawn by Ashley has 4 sides

So , it is a quadrilateral

Now , the shape drawn by Camden also has 4 sides

So , it is a quadrilateral

And , the shape drawn by Hayden is a polygon that has 4 side

Hence , the quadrilateral are drawn by Ashley , Camden and Hayden

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ2

When placed end to end, 5 yellow lego bricks are 2 cm longer than 2 green lego bricks. While 3 green lego bricks are 2 cm longer than 7 yellow lego bricks. How long are 5 green lego bricks?

Answers

Answer:

5 green lego bricks are equal to 12 yellow lego bricks

Step-by-step explanation:

Let the yellow and green lego bricks be denoted by y and g respectively.

According to the given conditions

5y+ 2= 2g------ equation 1

3g+2= 7y----- equation 2

Rearranging the equations and adding

5y+ 2= 2g------ equation 3

7y-2= 3g----- equation 4

12y= 5g

5 green lego bricks are equal to 12 yellow lego bricks

Write an equation of the line that passes through the given points.
(-4,9) and (1, -1)

Answers

Answer:

y=-2x+1

Step-by-step explanation:

In ΔWXY,m∠W=(2x−12)m∠X=(2 x+17), and∠Y=(9x−7). Find∠X.

Answers

Answer:

x = 15

Step-by-step explanation:

2x + 17 = X

x=17-2

= 15

therefore x = 15

10. need help with this question plzz

Answers

Answer:

okay

Step-by-step explanation:

SO MARK THE PERIMETER AND THE FORMULA FOR FINDING TRAPEZUIM IS

area=1/2 (a+b)h

Answer:

144 cm²

Step-by-step explanation:

5x + 12x + 6x + 5x = 56

=> 28x = 56

=> x = 2

DC => 6x = 6(2) = 12

AB => 12x = 12(2) = 24

BC => 5x = 5(2) = 10

AD => 5x = 5(2) = 10

trapezium is an isosceles trapezium because a trapezium with a pair of non-parallel sides(BC&AD) that have equal distances, which are congruent, is an isosceles trapezium.

Thus, the base of the two triangles on each side are congruent.

base: (AB - DC) ÷ 2 = (24 - 12) ÷ 2 = 6

calculate the height using Pythagorean theorem => √10² - 6² = 8

area of the isosceles trapezium ABCD: (12 + 24) × 8 ÷ 2 = 144

Please answer need fast

Answers

Answer:

B is the correct ans

please mark brainliest

Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.

Answers

Answer:

25 minutes

Step-by-step explanation:

let x represent total time when both containers to have the same amount of water.

the equation to represent container A = 200 + 6x

the equation to represent container B = 500 - 6x

Because both containers would have the same amount of water, the two equations would be equal to each other

200 + 6x = 500 - 6x

collect like terms

12x = 300

x = 300/12

x = 25 minutes

The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. What is the maximum height of the ball?

Answers

Answer:

the maximum height of the ball is 42.25 m

Step-by-step explanation:

Given the height function as;

h(t) = -16t² + 12t + 40

At maximum height, the final velocity of the ball will be zero.

The final velocity is calculated as follows;

[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]

At maximum height, the time of motion of the ball is 0.375 s.

The maximum height is calculated as follows;

h(t) = -16t² + 12t + 40

h(0.375) = -16(0.375)² + 12(0.375) + 40

h(0.375) = -2.25 + 4.5 + 40

h(0.375) = 42.25 m

Therefore, the maximum height of the ball is 42.25 m

Help

this should be an easy math question but I learned it a long time ago so help me

Answers

Y=(x+4)^2-25 , (4,-25)

Is that right? I'll post the pic

Answers

Answer:

I believe it is, I skimmed across it looks accurate to me

Step-by-step explanation:

The perimeter of the square at the right is 48 inches. What is the area of the square at the right? Explain how you found your answer.

Answers

If you have an image attached, i cant see it. Maybe just repost the question again cause i reallu cant see the attached image

If the measure of two angles in a triangle are 60 and 100 degrees, what is the measure of the third angle? a. 20 degrees) b. 50 degrees) c. 30 degrees) d. 180 degrees)

Answers

Answer:

A. 20 degrees

Step-by-step explanation:

All triangles have 180 degrees in total !

Answer:

735 J

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

735 J

Hope this helps you

the triangle below has an area of 25 units2, find the missing side

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]A= 0.5 bh[/tex]

[tex]25=0.5 (10)h\\\\[/tex]

[tex]25=5h[/tex]

[tex]5h=25[/tex]

[tex]h=5[/tex]

[tex]-------[/tex]

hello please help i’ll give brainliest

Answers

The answer is D. Alloys

Answer:

Step-by-step explanation:

Both arsenic and lead can be / are poisonous, so "poison" is the best response here.

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