The area of a triangle is 30 square inches.
The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh

x=
base=
height=

Answers

Answer 1

Answer:

x=10

base=4inches

height=15inches

Step-by-step explanation:

A=1/2bh

30=1/2(x-6)(x+5)

60= x²+5x-6x-30

x²-x-90=0

x²-10x+9x-90=0

x(x-10) +9(x-10)=0

(x+9)(x-10)=0

x= -9 or 10

x cannot be negative

Therefore x= 10

base= 10-6

=4inches

height=10+5

=15inches


Related Questions

Classify the triangle based on the side lengths 7. 15 and 21​

Answers

Triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sides of triangle are 7, 15 and 21.

Let the largest angle be θ.

cosθ=7²+15²-21²/2×7×15

=-167/210

Since arc cos(-167/210)=142.68 degrees.

θ=142.68 degrees.

Which means θ>90 degrees.

So its a obtuse triangle.

7+15=22>21

21-7=14<15

So those angles can make a obtuse triangle.

Hence, triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

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Calculate the average travel time for each distance, and then use the results to calculate. A 6-column table with 3 rows in the second, third, and fifth columns and 1 row in the other columns. The first column labeled Number of Washers has entry 1 washer mass = 4. 9 grams. The second column labeled Trial has entries trial number 1, trial number 2, trial number 3. The third and fourth columns labeled Time to travel 0. 25 meters t subscript 1 (seconds) have entries in the third column 2. 24, 2. 21, 2. 23 and average in the fourth column. The fifth and sixth columns labeled time to travel 0. 5 meters t subscript 2 (seconds) have entries in the fifth column 3. 16, 3. 08, 03. 15 and in the sixth column average. The average time that it takes for the car to travel the first 0. 25m is s. The average time to travel just between 0. 25 m and 0. 50 m is s. Given the time taken to travel the second 0. 25 m section, the velocity would be m/s.

Answers

The average travel time is simply the mean travel time between the given points

The average time that it takes for the car to travel the first 0.25m is 2.23s. The average time to travel just between 0.25m and 0.50m is 0.9s. Given the time taken to travel the second 0.25 m section, the velocity would be 0.28m/s.

(a) The average time to travel the first 0.25m

The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.

So, the average time to travel is:

[tex]Time = \frac{2.24s + 2.21s + 2.23s}{3}[/tex]

[tex]Time = \frac{6.68s}{3}[/tex]

[tex]Time = 2.23s[/tex]

(b) The average time to travel just between 0.25m and 0.50m

The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.

So, the average time to travel this distance is:

[tex]Time = \frac{3.16s + 3.08s + 3.15s}{3}[/tex]

[tex]Time = \frac{9.39s}{3}[/tex]

[tex]Time = 3.13s[/tex]

The average time to travel between both distance is the difference between the average time of each distance.

So, we have:

[tex]Average = 3.13s - 2.23s[/tex]

[tex]Average = 0.9s[/tex]

(c) The velocity in the second 0.25m section

The distance and time are:

[tex]Distance = 0.25m[/tex]

[tex]Time = 0.9s[/tex]

So, the velocity is:

[tex]Velocity = \frac{Distance}{Time}[/tex]

This gives

[tex]Velocity = \frac{0.25m}{0.9s}[/tex]

[tex]Velocity = 0.28m/s[/tex]

Read more about distance, velocity and time at:

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Find the slope of the line going through the pair of points: (11, 7), (-9, 8)
20
O-20
0 - 20
O 20

Answers

Answer:

1/-20 or -0.05

Step-by-step explanation:

-20 find these answer by use slope formula
y2-y1/x2-x1 (11,7) and (-9,8)
8-7/-9-11= 1/-20 we flipped we got -20
Hope this help ;)

please helpp im timed!!!​

Answers

Answer:

Answer A is correct

Step-by-step explanation:

plz help answer will mark brainiest

Answers

Answer:

4/3 litres of water is enough to water 2/5 of the plants

Assuming the number of plants in the house is an unknown variable, take the value as x.

Thus, 4/3 litres is enough to water 2x plants in the house.

x = 4/3 ÷ 2

  = 2/3 litres

Amount of water for all the plants = 5x = 5 × 2/3

                                                                = 10/3 litres

Thus, 10/3 litres of water is necessary to water all the plants in the house.

Does anyone get this question?

Answers

Answer:

a= 121°

b=62°

c=59°

Step-by-step explanation:

I first found b because they are vertical angles

Because I know the measure of angle b I take 180 (total sum of a triangle) and subtracted 62 from 180 which gave me 59 and because both base angles are equal to each other I divided 118 by 2 which gave me 59. Giving me the measure of angle c.

By adding angles b and c they would give me the measure of angle a.

__________________________________________________________Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

please help meeeeeeeeeeee....

ty

Answers

Answer:

y = 1/26x - 2

Step-by-step explanation:

Subtract x both sides

-26y = 52 + (-x)

Divide by -26 both sides

y = -2 + 1/26x

y = 1/26x - 2

Unit 1C Quiz
3 of 83 of 8 Items




Question
An Uber driver charges a flat fee of $5.50, plus $1.50 per mile. Which of the following equations represents the total cost y of a ride that is x miles long.


a. y=1.5+5.5
b. y=4x
c. y=5.5x +1.5
d. y=7x

Answers

Answer:

y = 1.5x + 5.5

Step-by-step explanation:

None of them are correct. The correct answer, y = 1.5x + 5.5, is not listed.

It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to school?
____ minutes
WARNING GIVE A DETAILED ANSWER

Answers

20 x .80 = 16 minutes

Time required to walk to school is,  t=20 mins

Since, Andre takes 80% of time required to walk to school. Which means

Time taken by Andre = 80% of 20 minutes

t-80/100x20

t=16 minutes

Andre takes 16 minutes to walk to school.

p.s you can be rude and take the points to my question idc Imma be nice and help you

7.
Which of the following is a prime number between 80 and 90?
OA. 85
B.
86
O C. 81
OD
83
HELP!!

Answers

Answer:

D) 83 is the answer. this is because it doest divide more then 2wice like the rule

Answer:

D TRUST ME

Step-by-step explanation:


A circular fish pond is shown below. What
is the circumference of the pond? The radius is 18.5cm

Answers

Answer:

about 116.18

Step-by-step explanation:

Circumference is 2PI*radius

So it should equal 37*3.14 which equals about 116.18

Find the HCF of 18, 36 and 45

Answers

Answer:

The answer is 3240

hope it helps

can I get branliest

three teachers have purchased candy for a school carnival. each bag of candy weigh is 1 1/4 pounds

Answers

Answer:

3 * 1.25 = 3.75

Step-by-step explanation:

3.75 also equals 3 3/4

2x+3=3+2x
Someone help pls

Answers

Answer =x
Explaination: anything equals x

Answer:

Step-by-step explanation:

There is no answer I looked it up and it said 0=0

Jordan goes to a high school with 1900 students. He surveyed a random sample of 240 students about their favorite sport, and 150 said that football was their favorite sport. Jordan reported to the school newspaper that football is the favorite sport of 1188 students. What inference did Jordan make? PLSS HELP QUICK !!

Answers

Answer: answer b

Step-by-step explanation:

The price of 40L petrol is £24, find the price of each litre.

Answers

Answer:

I will help you with this

Find all x-intercepts of the function. Express your answer as a list of x-values.f(x)=4x^4-64

Answers

Answer:

[tex]x=\pm2[/tex]

Step-by-step explanation:

[tex]f(x)=4x^4-64[/tex]

[tex]0=4x^4-64[/tex]

[tex]0=x^4-16[/tex]

[tex]16=x^4[/tex]

[tex]\pm2=x[/tex]

The letter in front of a number, showing multiplication.


A.) Combining like terms
B.) Coefficient
C.) Distributive property
D.) Like terms

Answers

A it’s A because you’re combining those two things to get your answer

​Justin completed 85% of a book when he read the first 170 pages. How many pages are in the book?

Answers

there are 200 pages

Answer:

200 BooksStep-by-step explanation:

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

The zero is -6, that’s where it crosses the x axis.

Students in Mrs. Doyle's classes use 3/4 of a bottle of hand sanitizer every week. Which expression can be used to find how many bottles of hand sanitizer the students will use in 12 weeks?

12 x 3/4
12 + 3/4
12 - 3/4
12 divided by 3/4

Answers

Answer:

A. 12 x 3/4

Step-by-step explanation:

Answer:

12 x 3/4

Step-by-step explanation:

Every one week, there is 3/4 used, which is basic multiplication

My Science teacher is named Mrs. Doyle, lol

what are the possible roots for:
f(x)=x^ 4 +2x^ 3 +8x^ 2 +80x- 128​

Answers

so the answer is; f(0)=-128

trust my answer like it

Find the output, y, when the input,x, is 6.
y =?

Answers

0 because when x is 6 y is on the bottom of the x axis or at 0

Answer:

Y= 0

Step-by-step explanation:

Ryan earned badges at Camp Evergreen for completing different activities. He earned 7 outdoor activity badges for every 3 indoor activity badges.
If Ryan earned 6 indoor activity badges, how many badges did he earn in all?

Answers

Answer:

20 badges

Step-by-step explanation:

3×2=6 (indoor activities)

7×2=14 (outdoor activities)

6+14=20

hello how are you doing today

Answers

I am doing fine thanks bro.

The following are some items that Carlo and his brother need to buy for their donations to their barangay: Instant Noodles- Php 6.75 Sardines-Php19.25 Sugar-Php49.50/kg Coffee-Php7.75 Rice-Php 35.05/kg *About how much money must they have to be able to buy : 1. 20 packs of instant noodles 134.96 2.2.5 kg of sugar 3. 15 kg of rice 4. 5 cans of sardines 5. 10 small packs of coffee​

Answers

The amount of money they must have to be able to buy the items is Php958.25

if 1 pack of instant noodle costs Php 6.75, 20 packs of instant noodles will cost (6.75 * 20) = 135Php

If sugar costs Php49.50/kg, then 2.5 kg of sugar will cost (2.5* 49.5) = Php123.75

If Rice cost Php 35.05/kg, the cost of 15 kg of rice will be (15*35.05) = Php525.75

If a pack of sardine cost Php19.25, 5 cans of sardines will cost Php96.25

If a pack of coffee costs Php7.75, the cost of 10 small packs of coffee​ will be Php77.5

The amount of money that they must have is the sum of all the amount expressed as:

Total amount  = Php135 + Php123.75 +  Php525.75 + Php96.25 + Php77.5

Total amount = Php958.25

Hence the amount of money they must have to be able to buy the items is Php958.25

Learn more on cost here: https://brainly.com/question/11408596

How do I solve this question?

Answers

Answer:

A

Step-by-step explanation:

throat bababy

Can someone help me out here?​

Answers

Answer:

with what?

Step-by-step explanation:

How to make the mark of degree on the calculator ??

Answers

Answer:

most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator

Need help on geometry TO PASS My Class so can you help please

Answers

Answer:

x=12

Step-by-step explanation:

since it is an equilateral triangle the angle r all the same the angle have to equal 60

Since it's a equilateral triangle.

[tex]\\ \sf\longmapsto 5x+5x+5x=180[/tex]

[tex]\\ \sf\longmapsto 15x=180[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

m<S=5x=60°
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