The base of a right triangle is 2 meters greater than the height. If the area of the triangle is 100 m2, what are the dimensions of the base and the height?

Answers

Answer 1

Answer:

b = 15.2 m

h = 13.2 m

Step-by-step explanation:

The area of a right triangle is given by:

[tex] A = \frac{bh}{2} [/tex]    (1)

Where:

b: is the base

h: is the height

If the base is 2 meters greater than the height we have:

[tex]b = h + 2[/tex]   (2)

And if the area of the triangle is 100 m², the dimensions of the base can be found by entering equation (2) into (1):

[tex]100 m^{2} = \frac{(h + 2)*h}{2}[/tex]

[tex] 200 m^{2} = h^{2} + 2h [/tex]      

[tex] h^{2} + 2h - 200 m^{2} = 0 [/tex]  

By solving the above quadratic equation we have:

[tex] h = 13.2 m [/tex]

And by entering the above value into equation (2) we have:

[tex]b = 13.2 + 2 m = 15.2 m[/tex]

Therefore, the dimensions of the base and the height are 15.2 m and 13.2 m respectively.

I hope it helps you!                            


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Answer:

I can't help I cause u don't have questions to pick from

Complete the following sentence.

If x is to 9 as 8 is to 12, then x is equal to
.

Answers

x=6

8 is 2/3 of 12 and 2/3 of 9 is 6

Answer:

Srry im late

Step-by-step explanation:

what i miss

Is the relation shown in the arrow diagram a function? Justify your answer.

Alternative text


Yes. The input 0.8 and 0.4 have only one output.


Yes. Each output has only one input.


No. Each input has only one output.


No. The input 1.2 has 2 outputs.

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Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

Bookstore is having a sale. Every book is 25% off. How much would you pay for a book that cost $26?

Answers

Answer:

$19.50

Step-by-step explanation:

(26÷100)75=19.50

Multiply 25% by 26$ to get 6.50. Take 6.50 and subtract it from 26$ to get 19.50 therefore, the answer is 19.50$

In Triangle ABC, Segment AB is congruent to segment BC, and the measure of angle A is 39 degrees, what is the measure of angle C

Answers

I straight line equals 180 degrees.

Subtract 39 from 180.

The answer is 141 degrees

Hope this helps! :)

solve for X !

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42 degrees
You do 3x+1=125 to get your answer

4.7g + 2 = 2.7g + 12

Answers

Answer:

g=5

Step-by-step explanation:

Which pair of polygons is congruent 1 and 2 3 and 4 3and 5 and 1 and 4

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Answer:

i needa pic so i can answer it lol

Step-by-step explanation:

[tex]\frac{p+9}{5} =r,for (p)[/tex]

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Answer:

P = 5r + 9

Step-by-step explanation:

Which quadrilateral must have diagonals that are
congruent and perpendicular?
1) rhombus
2) square
3) trapezoid
4) parallelogram

Answers

Answer:

2) Square

hope this help

The quadrilateral must have diagonals that are congruent and perpendicular is Square.

What are quadrilaterals?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

According to the question

Properties of following for their diagonals are :

Rhombus :

In a rhombus, diagonals bisect each other at right angles.

Diagonals bisect the angles of a rhombus.

Square:

The diagonals of the square bisect each other at 90°

The two diagonals of the square are equal to each other.

Trapezoid:

The length of both the diagonals is equal.

The diagonals of a trapezium always intersect each other.

Parallelogram:

Each diagonal of a parallelogram separates it into two congruent triangles.

The diagonals of a parallelogram bisect each other.

Therefore, according to there properties for their diagonals condition

that quadrilateral must have diagonals that are congruent and perpendicular  is satisfied by square only .

Hence, the quadrilateral must have diagonals that are congruent and perpendicular is Square.

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can anyone help me please I'm not good at math:(​

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Answer:c

Step-by-step explanation:

HELP HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!

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Answer:

x=0

Step-by-step explanation:

Anything to the power of 0 is 1

Answer:

x=0

Step-by-step explanation:

take the logarithm of both sides of the equation to remove the variable from the exponent.

In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below SHOW
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was open.
40
30+
Feet Above Water
20
10
1
2
3
Minutes
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rate of change over these intervals. Complete the table to determine the rate of change or the drawbridge (in feet per
minute) at each of the specified intervals.

Answers

Answer:

Between 0 and 1 minute: 25

Between 1 and 2 minutes: 0

Between 2 and 4 minutes: -25

Step-by-step explanation:

Notice the changes in the table and how the line increases, stays constant, and decreases.

Billy is making a sign in the shape of a regular octagon. What is the measure of each interior angle of the sign?
O 45°
O 60°
O 120°
O 135°

Answers

Answer:

135°

Step-by-step explanation:

Interior angle= (n-2)/n ×180°

n= no. of sides

so,

putting the value of n which is 8

(8-6)/8 × 180

=135°

The measure of each interior angle of the sign is 135 degrees.

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What is an interior angle?

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

In a regular octagon, all the interior angles are equal.

The formula to find the measure of each interior angle of a regular polygon with n sides is:

measure of each interior angle = (n-2) x 180 / n

For an octagon, n = 8, so we can substitute this value into the formula and simplify:

measure of each interior angle = (8-2) x 180 / 8

measure of each interior angle = 6 x 180 / 8

the measure of each interior angle = 135 degrees

Therefore, the measure of each interior angle = 135 degrees.

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An airplane travels at 300 mph in the direction S 45° E. What is the component form of the velocity vector?

(150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)

Answers

Answer:ITS NOT D

Step-by-step explanation:

The component form of the velocity vector of the airplane is 150√2 mph.

What is a velocity vector?

The pace at which an object's position changes is represented by a velocity vector. A velocity vector's magnitude indicates an object's speed, whereas the vector's direction indicates its direction.

The velocity vector is calculated as:-

[tex]\widehat{V}[/tex] = Vcos45

[tex]\widehat{V}[/tex] = 300 x ( 1 / √2 )

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[tex]\widehat{V}[/tex] = 150√2 mph

Hence, the velocity vector of the airplane is 150√2 mph.

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Answers

Answer:

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Step-by-step explanation:

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y-intercept:

Answers

Answer:

Y-intercept is 5.5 and the X-intercept is -7.5

Step-by-step explanation:

Y intercept is positive 5.5 , x intercept is negative (-7.5)

7. How many servings could you make if you had 3/4 cup of diced onion?
A. 4 servings
B. 15 servings
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D. 12 servings

Answers

Answer:

D. 12 servings

Step-by-step explanation:

Normally, when working with fractions, I would like to make the denominators of both fractions the same.

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Step-by-step explanation:

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Have a Merry Christmas!

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Thats the FSA ummmm-

Step-by-step explanation:

Step 1: Gather materials and necessary information. a) You will collect information about a used car of your choice and a loan. • Search for a used car you think you would like to buy someday using an Internet search engine for “used cars for sale.” The car cannot be more than $15,000. o Save a picture of the car. o Record the price, mileage, year, make, model, and location of where to buy the car. • Search for loan options with a bank and a credit union of your choice. For both options find. o APR o Restrictions on the loan options o Additional fees o Finance charges o Repayment periods b) Be sure to keep a list of your references so you can cite them later.

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Answer:

If your car companylikelihood that you could go in for the auto insurance not a ... Make sure you are find that your vehicle to get coveragetrade and needs ... You know you're getting the car is in place a lien holder information judgebe filed. ... If your family has more discount they cannot use their cards a bad driver category.

Step-by-step explanation:

We also offer auto leasing, car financing, Chevrolet auto repair service, and Chevrolet ... Time to come see your Service Team at Augusta Master Chevrolet Cadillac. ... As a top Chevy auto dealer in Aiken SC, we want to tell you more about why the ... But, we may have seen a sneak peek of what's to come with the Silverado ...

Find m∠A in ABC if m∠B = 38° and m∠C = 38°

Answers

Answer:

∠A = 104

Step-by-step explanation:

Triangles are equal to 180° so if one angle is 38° and the other angel is equal to 38°, then the third angle must make each of those angles add up to 180.

If you add 38 + 38 and subtract the sum from 180 you will get the measurement of angle A

(38 + 38) - 180 = 104

What is the appropriate angle measure formed by a clock that reads 2 o clock

Answers

60 degrees
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What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?

Answers

Answer:

(- 1, - 8 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , thus

(1, 8 ) → (- 1, - 8 )

A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?

Answers

Answer:

-10 points

Step-by-step explanation:

A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?

Let us say Initial number of points = 0

Hence,

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His final score = -100 + 30 + 30 + 30

= -10 points

Hi there! Someone please help me with this question correctly :)

I’ll mark brainliest and give out points

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Answer:

y=x+4

Step-by-step explanation:

So uh, i dont know how to explain, but fairly sure its y=x+4  

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