The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

x(x+6)/2=56

x^2(6x)=112

x^2(6x)-112=0

By trial and error, we can try base =1, height = 7, etc

base =8

height = 14


Related Questions

hehehdhdhdhdhdhshshshhs​

Answers

bghvfdddddcvbnmjkliuytrftfgvvvvv  nbv nbv hjgfdc

Step-by-step explanation:

hgfdcvbnmkloiuytredfxghgcfxchgjnjngjggjjjjjttttttttttttttttrrrrrtkkkkkkkkkkddddddddddddddddddddddddddddddddddujhhhhhhhhgfnmmmmmmmmmhhurtghbfnvbmgjkuttdggggggggggggggggggggggggggggggggggggggggggggggggggggf

which of the following lengths cannot be the lengths of a triangle? 4,6,9 a.) 3,4,2 b.) 2,2,3 c.) 1,1,2 d.)

Answers

Answer:

D. 1, 1, 2

Step-by-step explanation:

A triangles sides have to have the two smallest side's sum add up to be greater than the largest number. In D, 1+1 = 2, and 2 is the largest number, since 2 is not greater than 2, It cannot be a triangle.

How many seconds are in an hour? is this a statistical question or non-statistical question.

Answers

Answer:

There are 3600 seconds in an hour.

non-statistical

Step-by-step explanation:

Their is 60 minutes in a hour. 1 minute is equally to 60 seconds.

60 * 60 = 3600

Everyone will say the same answer so it is non statistical.

Hope this helps!

I have 40 dollars. If the tickers are 3 for $5 how many tickets do I have?​

Answers

Answer:

You can get 24 tickets

Step-by-step explanation: You do the math

Ileana buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 512 inches. What is the diameter of the pizza to the nearest inch? A.4 in. B.7 in. C.8 in. D.14 in.

Answers

Answer:

14 inches

Step-by-step explanation:

She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.

We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.

The circumference of one part = [tex]\dfrac{2\pi r}{8}=\dfrac{\pi r}{4}[/tex]

So,

[tex]\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch[/tex]

So, the diameter of the pizza is 14 inches.

Rewrite without absolute value for the given conditions: y =|x −3|+|x +2|−|x −5|, if x >5

Answers

9514 1404 393

Answer:

  y = x + 4

Step-by-step explanation:

For x > 5, the expressions in each absolute value argument are all positive, so we can simply remove the bars and sum the terms.

  y = x - 3 + x + 2 - x + 5

  y = x +4

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and each adult ticket sells for $10. The auditorium can hold at most 140 people. The drama club must make no less than $1100 from ticket sales to cover the show's costs. If
xrepresents the number of student tickets sold and
y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

x=66 y=74

Step-by-step explanation:

5.5x + 10y = 1100

x + y = 140

---

y = 140 - x

---

5.5x + 10(140-x) = 1100

5.5x + 1400 - 10x = 1100

-4.5x = -300

x = 66.67

---

x = 66

y = 74

= $1103

Which equation goes with the graph

Answers

link is scam. literally cap. don’t use it or what do ever!


A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?

Answers

Answer:

8100/1800 = 4.5 days

Step-by-step explanation:

find the value of x
−9(10+x)=−243

Answers

Answer:

x = 17

I think this is the value for x

Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric that is 4 ¼ yards. How many more yards of fabric does Rebecca need to make the quilt

Answers

Answer:

3 3/4

Step-by-step explanation:

The Garcia family drives 3/4 of the distance to their. grandparents house in 3/4 hour. How many hours will it take to drive to their grandparents house at the same rate? A-9/16 B-1. C- 1 7/9

Answers

Answer:

B

Step-by-step explanation:

Is someone’s opinion a statistical question???? Pls help

Answers

Answer:

NO

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Isabelle rides her bike to school. The graph shows her speed at different times during her ride.



Select the word that describes Isabelle’s speed during the indicated interval.

Time Interval Speed
0 to 2 minutes
3 to 4 minutes
6 to 8 minutes
9 to 11 minutes

Answers

Answer:

0 to 2 minutes - Accelerating

3 to 4 minutes - Constant

6 to 8 minutes - Decelerating

9 to 11 minutes Accelerating

hope i have helped u

Step-by-step explanation:

Martin recorded the low temperatures at his house for one week. The temperatures are shown below -7, -3, four, one, -2, -8, seven approximately what was the average low temperature for the week?

Answers

5,28-(x4-3,,,,,,,,,,,,,,,,,

Simplify the expression
(3x4 + 9x3 – 7x + 15) + (-6X4 – 8x2 + 5x – 3)

Answers

Answer:

If the numbers next to the "x" are "carroted" ( ^ ) then the answer is

-3x^4 + 9x^3 -8x^2 -2x +12

Step-by-step explanation:

Basically, you just add the like terms together.

The ratio of the cost of a ticket to the number of tickets is 15:1. If the Cox family spent $45 on
tickets, how many tickets did they buy?

Answers

They bought 3 tickets! Hope this helps :) ✨

Lucy purchase a swimsuit and a towel. The towel represent 30% of the total cost. If she spent $15.00 on the towel, then what was her purchase total

Answers

Answer:

$50

Step-by-step explanation:

Given data

Let the total purchase be x

Hence 30% of x is $15

Let us find the value of x

30/100*x= 15

0.3*x=15

0.3x=15

x= 15/0.3

x= $50

Hence the purchase is $50

Answer:

$50 is the total

Step-by-step explanation:

30% over 100% =  15 over x

then you cross multiply and get:

30x = 1500

you then divide both sides by 30

30 and 30 cross out

1500 ÷ 30 = $50

what is the number of distinguishable permutations of the letters in the word, POTATO

Answers

Answer:

720

Step-by-step explanation:

Potato has 6 letters

6!/2!×2!

6×5×4×3×2/2×2

solve for x. does anyone know how to do these so i could do them myself

Answers

you use Pythagorus’ theorem to help you

so to find the answer you would do 10^2 - 6^2 and then square root your answer

hope this helps

(TUTORS HELP ME I BEG YOU!! ILL GIVE BRAINLY AND ITS A MULTIPLE CHOICE, I WILL ALSO SEND PICS PLSSS)

Answers

Answer:

2)

Step-by-step explanation:

plug in a random number for x i used 2. So y=2^x+14x-3 which equals 29 and 1)=253 2)=29 3)=207 4)=35

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h ( t ) = − 16 t 2 + 16 t + 480 h(t)=−16t 2 +16t+480, where t is the time in seconds and h is the height in feet. What is the maximum height that Jason reaches?

Answers

Answer:

484feet

Step-by-step explanation:

If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.

The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)

dh/dt = -32t + 16

0 = -32t + 16

32t = 16

t = 16/32

t = 1/2

t = 0.5secs

Get the maximum height

Recall that h(t)=−16t^2 +16t+480

Substitute t = 0.5

h(0.5)=−16(0.5)^2 +16(0.5)+480

h(0.5) = -4 + 8 + 480

h(0.5) = 4 + 480

h(0.5) = 484

Hence the maximum height reached by Jason is 484feet

The maximum height that Jason reaches is h =  484 feet and it will be reached at t = 0.5 sec.

How to find the maximum of a polynomial function?

Let the function be denoted by [tex]y = f(x)[/tex]

If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.

Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]

The second derivative of that function is then evaluated on those critical values.

The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]

That means, if at  [tex]x = x_i[/tex] , we get

[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]

Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum

If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).

For the given case, we're given the height function as:

[tex]h(t) = - 16t^2 + 16t + 480[/tex]

The function is infinitely differentiable as its polynomial(by a theorem).

Its first and second rate with respect to 't', we get;

[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]

Thus, all critical points will be maximum points.

The critical points are evaluated by [tex]h'(t) = 0[/tex]

They are calculated as:

[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]

The height at t = 0.5 s is evaluated as:

[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]

Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.

Learn more about maximum and minimum values here:

https://brainly.com/question/13333267

HELP PLEASE!!
ABCD is rotated counterclockwise about the origin. By how many degrees was ABCD rotated?

Answers

ABCD rotated 180 degrees

Answer:

180 degrees

Step-by-step explanation:

Find the volume of the
rectangular prism.
2 cm
8 cm
5 cm
V = [?] cm3

Answers

the answer is 23 + 90 = 80

The volume of a rectangular prism is 80 cm³.

The dimensions of a rectangular prism are length=8 cm, breadth=5 cm and height=2 cm.

What is the formula to find the volume of a rectangular prism?

The formula to find the volume of a rectangular prism is l×b×h.

Now, the volume of a rectangular prism=8×5×2=80 cm³.

Therefore, the volume of a rectangular prism is 80 cm³.

To learn more about a rectangular prism visit:

https://brainly.com/question/21308574.

#SPJ2

Give the diagram below find the value of x HELP PLEASEEEEEE IM BAD AT MATH

Answers

Answer:

44

Step-by-step explanation:

sum of two interior angle is equal to the exterior angle

: . 14 +30 = 44

Identify the terms, like terms, coefficients, and constants in 7-5y+2+1

Answers

Answer:

coefficient is 5y

constants are 7,2,1

no like terms

Write 142 as a fraction or mixed number

Answers

Answer: 142/1

Step-by-step explanation:

Answer:

1.42 or 71/50

Step-by-step explanation:

In order to get the answer just divide.

71÷60=1.42

Answered by the ONE & ONLY #QUEEN herself aka #$$$DRIPPQUEENMO!!

I HOPE THIS HELPED!!!

it takes 61 pounds of seed to completely plant an 11- acre field. how many pounds of seed are needed per acre

Answers

5.55 (rounded to two decimal places)
Explain: 61 divided by 11 = 5.5454545

The frequency,f kilohertz of a radio wave is inversely proportional to its wavelength, Ym. The frequency of a radio wave that has a wavelength of 3000m is 100 kHz. Find (i) The frequency of a radio wave that has a length of 500m (ii) The wavelength of a radio wave that has a frequency of 800kHz

Answers

Step-by-step explanation:

The frequency of a radio wave that has a wavelength of 3000m is 100 kHz

(a) Wavelength = 500 m

We know that,

[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz[/tex]

(b) Frequency, f = 800 kHz

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m[/tex]

Hence, this is the required solution.

What is 20% off a 15$ shirt?

12.50
12
10

Answers

Answer:

12

Step-by-step explanation:

15 multiplied by 20% is 3

Subtract 3 from 15 and you get 12

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