Suppose the height of a triangle is tripled. How does this affect the area of the triangle? Explain

Answers

Answer 1

Answer:

A' = 3A

Step-by-step explanation:

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

Where

b is base and h is height

If height is tripled, h' = 3h

New area,

[tex]A'=\dfrac{1}{2}\times b\times h'\\\\=\dfrac{1}{2}\times b\times 3h\\\\=3\times \dfrac{1}{2}\times b\times h\\\\=3A[/tex]

So, the new area becomes 3 times the initial area.


Related Questions

What is the area of this rectangle

Answers

Answer:

30 sq units

3 + 2 = 5

5 x 6 = 30

The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a slice of bacon, and a glass of juice for breakfast. The sales tax for the order was $0.48. She paid for her breakfast with a $10 bill.
How much change should sara receive from the $10 bill?

Answers

Answer:

$3.56

Step-by-step explanation:

mark me brainlest please

Answer:

3.56

Step-by-step explanation:

First you wanna add the prices of all the food so its

Two Eggs= 3.38

Slice of Bacon= 1.49

Orange Juice= 1.09

Add All then you get 5.96 and add sales tax so you get 6.44

The Subtract 10.00 - 6.44 = A/3.56

Which of the following has the smallest probability?
(a) Pt > 2) ift has 5 degrees of freedom.
(b) P(t > 2) ift has 2 degrees of freedom.
(C) PC: > 2) ifz is a standard Normal random variable.
(d) Pt <2) ift has 5 degrees of freedom.
(e) Plz < 2) if z is a standard Normal random variable.

Answers

The expression with the smallest probability is: (C) P(z > 2), if z is a standard Normal random variable.

What is a z-core?

A z-core is also known as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.

In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

x is the sample mean or observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.

In this exercise, we would have the smallest probability for P(z > 2), when z is a standard Normal random variable.

Read more on z-scores here: https://brainly.com/question/4302527

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.
y = negative 2 x squared + 7 x + 4
a.
( 1.75, -2.125)
c.
( 1.75, 10.125)
b.
( 1.75, 4)
d.
( -1.75, 10.125)

Answers

Given:

The equation of a parabola is:

[tex]y=-2x^2+7x+4[/tex]

To find:

The vertex of the graph of the given equation by using a graphing calculator.

Solution:

We have,

[tex]y=-2x^2+7x+4[/tex]

By using the graphing calculator, draw the graph of the given equation as shown below.

From the below graph it is clear that the function is maximum at point (1.75,10.125).

So, the vertex of the given equation is (1.75,10.125).

Therefore, the correct option is c.

PLS, I NEED HELP ASAP!!​

Answers

Answer:

3x+18

Step-by-step explanation:

3 times x

3 times 6

3x

18

3x+18

648/180 reduced? In fractions

Answers

Answer: 18/5

Step-by-step explanation:  hope this helps pls mark me brainliest

Plz help i have been asking this question too much

Answers

Answer:

6

Step-by-step explanation:

1/6 of 36 is 6

2/3 of 36 is 24

6+24=30

36-30=6

<3

Answer:

if u search your question on brainly you'll see alot of answers! here is one of them!!!

Abby's friend told her that he drew a quadrilateral with exactly one pair of parallel sides. Abby said it must be a trapezoid. Is she correct

Answers

Answer:

Yes, she is correct

Step-by-step explanation:

A trapezoid has exactly one pair of parallel lines and 4 sides

Which expression represents the phrase below?
8 less than the product of 6 and a number, x

8 - 6x B. 6x - 8

C. (6 + x) D. 8 - (6 + x)

Answers

Answer:

6x - 8 multiply 6 and x then subtract 8

If the three lengths form a triangle, then determine if the three lengths form an acute, right, or obtuse triangle. Show your work. ​

Answers

Answer: Acute Triangle.

Step-by-step explanation:

3 square root 15 + 16 + 11 = 38.6189500386 degrees ughhhh why does this exist.

An acute triangle is less than 90 degrees so this an acute triangle.

I need help with these two problems ASAP. Please show your work:)

Answers

The formula for the circumference of a circle is [tex]\pi d[/tex].

In a:

The radius is 8 cm.

Therefore the diameter (d) would be 16cm (8 * 2)

Hence, the circumference is [tex]16\pi[/tex]

In b:

The diameter is already given: 13 in.

Thus, the circumference is [tex]13\pi =40.84[/tex] (2dp)


BRAINLIEST BRAINLIEST BRAINLIEST PLEASE ANDSER IT IS TIMED THANK YOU SO MUCCH

Answers

Answer:

x=-b/2a

Step-by-step explanation:

hope that helps :)

mark as brainliest please :)

Answer:

The axis of symmetry is x

Give brailiest, i gave you correct answer

which histogram correctly display the information to the left?

Answers

Answer:

option 3 so the second to last

Answer:

b

Step-by-step explanation:

Find the value of x and y that will make each quadrilateral a parallelogram.​

Answers

Answer:

6

Step-by-step explanation:

Answer:

x = 15, y = 7

Step-by-step explanation:

opposite angles are congruent in a parallelogram:

=> 3x + 4 = 7y

=> 3x - 7y = -4

the same-side interior angles of a parallelogram are supplementary angles, which means they sum to 180°:

=> 8x + 11 + 7y = 180

=> 8x + 7y = 169

add the two equation 3x - 7y = -4 and 8x + 7y = 169 to eliminate y and solve for x:

=>  3x - 7y = -4

    8x + 7y = 169

+) ___________

    11x         = 165  => x = 15

plug  x = 15 into one of the two equation to solve for y:

=> 3(15) - 7y = -4

=> 45 - 7y = -4

=> 7y = 49

=> y = 7

Can someone pls help me! Pretty sure my teacher hates me, and she won’t help me with these!

Answers

Answer:

5. 43.98 (if not rounding pi, if rounding pi it is 43.96)

6. 201.06 (if not rounding pi, if rounding pi it is 200.96)

7. 72.8

8. 84

9. 3.6

10. 140

11. C

12. 12.6

Step-by-step explanation:

5. C=2*pi*r

6. A=pi*r^2

7. angles in triangle must add up to 180

8. A=bh

9. radius is half of diameter

10. A=(hb)b/2

11. A=pi*r^2

12. radius is 1/2 of diameter

The entrance hall in Black's family house has a perimeter of 71 2/3 ft.IF it is 9 2/5 ft wide, how long is it?

Answers

Answer: 26 13/30 feet

Step-by-step explanation:

The hall is in the shape of a rectangle. The perimeter of a rectangle is:

= 2(length + width)

= 2l + 2w

Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:

Perimeter = 2l + 2w

71⅔ = 2l + 2(9 2/5)

71 2/3 = 2l + (2 × 47/5)

71 2/3 = 2l + 94/5

71 2/3 = 2l + 18 4/5

Collect like terms

2l = 71 2/3 - 18 4/5

2l = 71 10/15 - 18 12/15

2l = 52 13/15

l = (52 13/15 ÷ 2)

l = 793/15 × 1/2

l = 793/30

l = 26 13/30

Therefore, the length is 26 13/30ft

help I don’t know how I’m supposed to do this

Answers

Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this I think you should know what SOH-CAH-TOA is, if not here.

O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.

Equation time:

, we see that the x is on top so we just multiply....

[tex]cos36(10)[/tex]= 8.090

I hope this helps!


Given that x = 7.4 m and θ = 31°, work out BC rounded to 3 SF
I NEED THIS ANSWER NOW​

Answers

Answer:

59.0

Step-by-step explanation:

c=31

b=90

90+31=121

180-121=59

56 rounded to the nearest 3 sf=59.0

please mark as brainliest if correct

thank you

Answer:

12.333 m

Step-by-step explanation:

The ratio x/BC is the tangent of angle theta:

 7.4

-------- = tan theta = 0.6

 BC

                                                                         7.4

Interchanging 0.6 and BC, we get    BC =  ------------ = 12.333 m

                                                                          0.6

Factor completely. 5x^2-20x+20=5x 2 −20x+20

Answers

Step-by-step explanation:

5x^2 - 20x + 20 = 5x^2 - 20x + 20

5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)

(5 + 5) (x^2 - 4x + 4)

Round to the nearest tenth
1. Find x.

Answers

Answer:

x= 25.5 not rounded x=25.51393657

Step-by-step explanation:

Decide what trig ration you need/want to use. The 27 degrees are opposite of the 13 and adjacent to the x which means your ratio should be o/a or 13/x. The trig ratio needed is Tangent. Now you can write the equation as tan(27)=13/x and start solving.

tan(27)=13/x multiply the x on both sides and you'll have x * tan(27)=13 and decide which to put into your calculator and you'll get x=25.51393657 rounded as 25.5

The perimeter of a rectangle is 13 cm and its width is 2 ¾ cm. Find its length in cm.​

Answers

Answer:

length = 3 3/4

Step-by-step explanation:

13 = 2(2 3/4) + 2l

13 = 2(11/4) + 2l

13 = 22/4 + 2l

52/4 - 22/4 = 2l

30/4 = 2l

30/4 ÷ 2 = l

30/4 x 1/2 = l

30/8 = l

length = 15/4 or 3 3/4

A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm west. Which equation could be used to determine how many miles Mary drives to work?

Answers

Mary drives 7 miles!2cm / 4mi = 1cm / 2mi1(2) + 2.5(2) = 7Please let me know if I am wrong.

A school’s auditorium can hold a maximum of 450 people. The school is holding a talent show
where 35 students will perform. The school pre-sold 345 tickets to the show and will now allow
the performers to use the remaining tickets for their friends and family. If each student
performing in the talent show can invite the same number of guests, select all of the following
that represents the possible number of guests that arrive for each performer.

Answers

Answer:

Each can invite 2 guest

Step-by-step explanation:

345+ 35= 380

450-380 = 70

70/35=2

Answer:

Each performer can get 2 guests.

Step-by-step explanation:

There are 35 performers and 345 pre-sold tickets, so we just need to subract them from the amount of people that the stadium can hold. 450 - 35 - 345 = 70 people left

Since there is space for 70 more people, each performer can get (70/35) = 2 guests

A bag with 8 marbles has 2 blue marbles and 6 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.

Answers

Answer:

there are no red marbles. so 0/8 is the probability

the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​

Answers

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

WHATS TYE ANSWER TO ALL OF THESE! I NEED TO KNOW ASAP! PLEASE!​

Answers

Answer:

[tex]x+3>27\\ x-8>12\\ 7x\leq 14\\ x+15\geq 4[/tex]

An owl ate 3 mice. Prior to being eaten, the 3 mice together consumed a small block of cheese. The cheese contained 60 kJ of energy. How many kilojoules of energy from the block of cheese did the owl obtain after consuming the 3 mice?

Answers

The answer is 0.6 kj of energy

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

it's a parallelogram.

Step-by-step explanation:

reason Since the vertically opposite angles are equal definitely the sides must be parallel to each other there by making it a parallelogram

Evaluate 7^35 7^-21 7^-8

Answers

Answer:

117,649

Step-by-step explanation:

7^35 x 7^-29

= 7^6

=117,649

Nathan made cookies for Remembrance Day. He made 2 2/3 dozen chocolate cookies, 1
dozen peanut cookies, and 2 1/2 dozen oatmeal cookies. If he puts the same number of each
cookie in each bag and has no cookies left over, what is the largest number of bags he can fill?

Answers

12 dozen cookies for sale o need this to get a question done so don’t use this answer
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