The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the
triangle.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let x be the height ..... then the base = 2x + 2

So we have

Area = (1/2) (base) (height)

20 = (1/2)(2x + 2)(x) simplify

20 = x (x + 1)

20 = x^2 + x subtract 20 from both sides

x^2 + x - 20 = 0 factor

(x + 5) ( x - 4) = 0

Only the second factor makes sense

x - 4 = 0 add 4 to both sides

x = 4 ft and this is the height

And the base = 2(4) + 2 = 10 ft


Related Questions

what is the slope of the line that passes through these two points?​

Answers

Answer:

The answer seems to be 3/1.

Step-by-step explanation:

Use the equation:

(y2-y1)/(x2-x1)

Evaluate the expression when a = 7 and c= -4.
-a+5c
pls help

Answers

Answer:

-27

Step-by-step explanation:

a = 7 and c = -4

- a + 5 c

- ( 7 ) + 5 ( - 4 )

- 7 - 20

- 27

Please help me with this math word problem

Answers

Answer: The cost of 16 pencils and 10 notebooks is $5.84.


Explanation: You can solve this using linear systems:

Let X be the cost per pencil, and let Y be the cost per notebook.

(1) 7x+8y=4.15
(2) 5x+3y=1.77

Choose a variable to eliminate. I’ll eliminate X first as an example. To eliminate a variable, you must have the same coefficient beside the variable for both equations.

Equation 1 now becomes:

(3) 35x+40y=20.75

Equation 2 now becomes:

(4) 35x+21y=12.39

Now that you have 35 as a coefficient for X in both equations, you can subtract the two equations to officially eliminate it!

(3)-(4)

19y=8.36
y=0.44

Now that you have the value of Y, substitute that value into either one of the equations to get X.

Substitute y=0.44 in (1)

7x+8(0.44)=4.15
7x+3.52=4.15
7x=0.63
x=0.09

Therefore, the cost per pencil is $0.09/pencil and the cost per notebook is $0.44/notebook.

Almost done lol...

To find the cost of 16 pencils, multiply 0.09*16. That gives you $1.44, which will be the cost of 16 pencils.
The cost of 10 notebooks is 0.44*10, which gives you $4.40. That’s the cost of 10 notebooks.

To find the total price, add these values together!

1.44+4.40=5.84

Therefore, the cost of 16 pencils and 10 notebooks is $5.84.

Hope that helps シ

which expression is equivalent to (4 - 3i) + (-2 + 10i)?

A. 9i
B. -9i
C. 2+7i
D. 2-13i

Answers

Answer:

C. 2+7i

Step-by-step explanation:

(4 - 3i) + (-2 + 10i)

Combine like terms

4-2   -3i +10i

2    +7i

Answer: The answer is C, 2 + 7i

Step-by-step explanation:

Please help me, this is PEDMAS

Answers

Answer:

1). 183

2). 83

3). 353

4). -2652

5). 59

6). 510

7). -293

8). 79

9). 78

10). 87

Step-by-step explanation:

Considering order of operation, parenthesis must be simplified first.

The solutions to the given questions are shown below;

[tex]1). \ \ 5+(7\times (3+2)^2) + 3=8 + (7\times (5)^2) = 8 + (7\times 25) = 8 + 175 = 183[/tex]

[tex]2). \ 16+(8+ (6+2)^2) - 5=16-5 + (8+ (8)^2) = 11 + (8+64) = 11 + 72 = 83[/tex]

[tex]3). \ (15+ 3)^2 + ((14+6)+3^2)= (18)^2 + ((20) + 9) = 324 + (29) = 353[/tex]

[tex]4). \ ((11+ 2)-(24+2)^2)\times 2^2 = (13 - 676) \times 4 = (-663)\times 4 = -2652[/tex]

[tex]5). \ ((4+3)^2+ 6) -5+3^2= (49 + 6) - 5 + 9= (49+6+9) - 5 = 64-5 = 59[/tex]

[tex]6). \ (20+ 2)^2 +((15+7)+2^2)= (484) + (22+ 4)= 484 + 26 =510[/tex]

[tex]7). \ ((12 + 4)- (15+3)^2+ 5^2 = (16 - 324) + 25 = -318 + 25 = -293[/tex]

[tex]8). \ (6^2+ (24+ 3+5^2)) - 3^2= (36 + (52)) - 9 = (88) - 9 = 79[/tex]

[tex]9). \ ((10-4)^2\times 2) + 2 + 2^2= ((6)^2 \times 2) + 2 + 4 = (36\times 2)+ 6 = 72 + 6 = 78[/tex]

[tex]10). \ (7^2 + (16 + 8 + 2^2)) + 3^2 = (49 + 28) + 9 = 78 + 9 = 87[/tex]

If Volume of a Prism=36 m3

, then what is the volume of a pyramid?​

Answers

Answer!12 m³Solution!

V(volume of pyramid) = ⅓ x V(volume of prism)

V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³

___________________________

And, to get the volume of prism, simply multiply the volume of pyramid by 3.

if volume of pyramid=12m³, then volume of prism is 36 .

Solution;:

V(volime of prism) = V(volume of pyramid) x 3

V(prism) = 12m³ x 3V(prism) = 36 m³

___________________________

Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.

(3x^ - 6x +11) - (10x^ - 4x + 6)

Answers

Answer:

3x−6x+11−(10x−4x+6)

=5x10−10x7+3x5

         x10

=5x5−10x2+3

      x5

Step-by-step explanation:

i hope this helps and i hope you understand this, sorry if you dont understand

A grocery store recently sold 6 cartons of vanilla yogurt and 12 other cartons of yogurt . Based on past data, how many of the next 48 cartons of yogurt sold should you expect to be vanilla?

Answers

Answer:

if following simple addition/multiplication, the answer should be 12 cartons of vanilla.

if you had to report on the salaries for different occupations, do you think it would be better to report the mean or the median value

Answers

Answer = mean, the mean is an average of the data. On the other hand, the median accounts for the middle value of sets of numbers. It would make more sense if you would report the average of salaries for different occupations.

Twain's decision to end "The War Prayer" with the townspeople ignoring what
the stranger said is a good example of
A. irony
B. polyptoton
C. coincidence
D. parallelism
SUBMIT

Answers

I think the answer would be A, the meaning of irony is the expression of one’s meaning by using language that normally signifies the opposite, typically for humorous or emphatic effect.

Answer:

Irony

Explanation:

I just took the test

CHECK MY ANSWERS PLEASE

Kevin's savings account balance changed from $1140 in January to $1450 in April. Find the average rate of change per month. Round your answer to the nearest dollar.


$78 per month

$50 per month

$310 per month

$103 per month*****

Answers

Answer:

yessss that's correct!

Step-by-step explanation:

It is $310 in total change, but then you have to divide by 3 for all 3 months. So the average rate of change is $103 more each month.

Choose which two numbers the following will fall between: *
V156 PLEASE HELP ME FASTTTTT

Answers

[tex]\sf\purple{A.\:Between \:12\:and\:13.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \sqrt{156} \\ = 12.4899 \\ = 12.49[/tex]

Therefore, [tex] \sqrt{156} [/tex] will fall in between 12 and 13.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Penny has a rectangular flower garden. The following polynomial gives the volume, V, of the garden with soil height, h.
V(h) = h3 + 5h2 – 24h
The product (h+8)(h-3) is a factor of the polynomial V(h). What does this product represent?

Answers

Answer:

30-24=  6h

Step-by-step explanation:

Explain how to do this and provide with an answer.

Answers

Answer:

V=480m^2

Step-by-step explanation:

FIND ALL THREE ANGLES

Answers

Answer:

Austin = 38

Atlanta = 89

Chicago = 89

Step-by-step explanation:

First, solve for x. All angles together equal 180. Set your formula up as

180 = 2x - 12 + 2x + 3 + 4x - 11

180 = 8x -20

180 + 20 = 8x

200 = 8x

200 / 8 = x

25 = x

Now substitute 25 in place of x

Austin

2x - 12

2*25-12 = 38

Atlanta

4x-11

4*25-11 = 89

Chicago

2x+3

2*25+3 = 53

Add all your angles together to check your work  

Ayuda es para mañana plsss

Answers

Answer:

Divido es numero

Step-by-step explanation:

1. 1045.90

2. 579.60

3. 634.15

4. 1084.71


Class 5A can complete a project in 15 days while class 5B needs twice that amount of time. To complete this project before the summer festival, both class 5A and class 5B need to work together. Due to other tasks, class 5A has to leave for 3 days while class 5B has to leave for 6 days. Knowing that both classes do not leave at the same time, and they do work together on some days, what is the total number of days taken to complete this project? ​

Answers

Answer:

it takne 23 days to complete it I hope it is clear add all the no

can someone help me please

Answers

Answer:  104 square feet

=========================================================

Explanation:

The horizontal pieces are the parallel bases

b1 = 17 and b2 = 9

The height is always perpendicular to the base, so h = 8

The 4 ft portion won't be used in the next section, so we can ignore it.

---------

Plug the values mentioned into the trapezoid area formula below. Simplify.

A = h*(b1+b2)/2

A = 8*(17+9)/2

A = 8*26/2

A = 8*13

A = 104 square feet

We can abbreviate "square feet" into "sq ft" or "ft^2" without quotes.

----------

As another approach, you can split the trapezoid into 2 triangles and a rectangle in between. Then find the area of each small piece, and add up those smaller areas to get the final answer. You should get 104. If you go with this approach, then you will use the 4 ft portion to help find the horizontal length of the triangle on the right.

1 point
1. To win a prize, Jada must get a ball with an even number. Should she try
to win the prize using the tank of table tennis balls or the tank of golf balls?
A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10
table tennis balls from the tank and writes down their numbers.
1
3
5
1
3.2
4
1
5
3
A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf balls
from the tank and writes down their numbers.
1
4
5
2.
6
2
2
1
4
O Jada should use the tank of tennis balls.
O Jada should use the tank of golf balls.
1b. Explain your reasoning."

Answers

Answer:

Step-by-step explanation:

What Jada needs is a tank which gives him a higher or greater probability of selecting an even number :

Tennis balls :

Total outcome = 10

Even outcomes = (2, 4) = 2

Golf balls :

Total outcome = 10

Even outcomes = (4,2,6,2,2,4,8) = 7

Probability = number of outcomes / number of trials

For tennis balls

P(even) = 2 / 10 = 0.5

For golf :

P(even) = 7/10 = 0.

Find the value of x

(it needs to be 20 characters so don’t mind the extra ness ………..)

Answers

x=120

180-46-74= 60
180-60= 120

Triangle B C D is shown. Angle C D B is a right angle. Altitude a is drawn from point D to point E on side C B, forming a right angle. B D is labeled c and C D is labeled D. The length of B E is 18 and the length of E C is 4.
What is the value of a?

6 StartRoot 2 EndRoot
9
8 StartRoot 3 EndRoot
36 StartRoot 2 EndRoot

Answers

Answer:

6√2

6 StartRoot 2 EndRoot

Step-by-step explanation:

To solve for q, we apply the leg rule theorem or leg geometric mean theorem :

The hypotenus = 18 + 4 = 22

Leg 1 = b

Part1 = 4

According to the leg rule theorem :

Hypotenus / leg 1 = leg 1 / part 1

22 / b = b / 4

Cross multiply :

b * b = 22 * 4

b² = 88

b = √88 = √88 = √4 * √22 = 2√22

From Pythagoras :

a² = b² - 4²

a² = (√88)² - 16

a² = 88 - 16

a² = 72

a = √72 = √36 * √2 = 6√2

Answer:

A

Step-by-step explanation:

edge2021

which statement is true? please help!

Answers

First one maybe I’m not too sure

Question 14 of 14
Which expression gives the distance between the points
(1,-2) and (2, 4)?
O A. (1+23° +(2-47
O B. (1-2)*+(-2-4)
O c. 111-23 +4:32-47
O D. Hit+2y +(2-479

Answers

Answer:

c

Step-by-step explanation:

What is the slope of the line in the graph?

Answers

The easiest way to find slope is to look at your first point and count how many boxes it is going up and then to the side. It's always going to be the rise over run. The awnser to this question is 2/1 or just 2.

1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the
parallel sides is 8 meters. What is the area of the lot?​

Answers

Answer:

160 m²

Step-by-step explanation:

Given :

A parallelogram shaped lot :

Base of lot = 20 m

Distance between parallel sides, = height of lot = 8 m

The area of the lot can be obtained using the area formula of a parallelogram :

Area = base * height

Area = 20 m * 8 m

Area = 160 m²

Does a even number have any related numbers that are odd like 3 or 7?

Answers

Answer:

I do not think that there is any even numbers related to odd numbers

How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I will mark you the brainliest.

Answers

Answer:

Step-by-step explanation:

Problem-solving strategies are created as ways of making a problem easier to understand and this leads to it being easier to solve. For example, one strategy is known as compartmentalizing. This involves splitting a problem into various smaller problems. It makes solving these smaller problems easier and less stressful, and once the smaller problems are solved the bigger one is automatically solved as well. Such a strategy can be applied to any problem in any category including math.

WILL MARK BRAINLEST!!!
find the domain and range of following ​

Answers

Answer:

{xcR} (x is all real numbers) and {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}

Step-by-step explanation:

1st: Find x by squaring both sides, subtracting 1 from both sides, and dividing by 2 from both sides to get x= [tex]\sqrt{\frac{y-1}{2} }[/tex]

2nd: Plug in x for y=[tex]2x^{2}[/tex]+1 which equals y=2([tex]\sqrt{\frac{y-1}{2} }[/tex])+1

3rd: This gives you the range (y) which is {y[tex]\leq[/tex]2[tex]\sqrt{\frac{y-1}{2} }[/tex]+1}

4th: domain is all real numbers

I hope this helped because this took me 30 minutes to do. I had to pull out my algebra math book to check I did it right. I hope I was right!

play help me on this​

Answers

Answer:

8n+10

Step-by-step explanation:

gimmi brainiest answer or me no give cookie

your answer would be 8n+10 because you have to combine like terms. you would do 3n+3n+n+n which gives you the 8n and then you would do -5+-5+10+10 which gives you the 10 and when you put it all together, you get 8n+10.

ANSWER: 8n+10

Suppose that a population parameter is 0.3, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values? O A. 0.4 O B. 0.1 O C. 0.3 O D. 0.2 SUBMIT​

Answers

Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.

What does the Central Limit Theorem states?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

#SPJ1

Other Questions
If x + x = 9, then x = Rhode Island Red chicks cost $3.20 each and Buckeye chicks cost $3.44 each.A farmer buys 4 Rhode Island Red chicks for every 3 Buckeye chicks.He buys 70 chicks in all. What is the total cost of the farmer's chicks?Show your work Determine the standard form of the equation of the line that passes through (6, -9) and (-8, 6) A. 15x+14y=-36B. 14x+15y=-36C. 15x+14y=36D. 15x-14y=-36Please select the best answer from the choices provided The accounting records of Diego Company revealed the following costs, among others:Factory insurance $32,000Raw material used $256,000Customer entertainment $15,000Indirect labor $45,000Depreciation on salespersons' cars $22,000Production equipment rental costs $72,000Costs that would be considered in the calculation of manufacturing overhead total:A. $149,000.B. $171,000.C. $186,000.D. $442,000.E. some other amount. What was one way the British crown responded to the Boston tea party?a.the king repealed the tea taxb.British parliament passed the coercive actsc.taxes were suspended for all goods entering into the Boston harbor Which device disperses a medication into air to be inhaled into the lungs?a. a nebulizerb. an IVc. an anestheticd. a suppository What point did Parliament make by executing Charles I?A. Only kings with divine rights should rule England.B. Parliament would now choose its own king.C. The Cavaliers had won control of England.D. No monarch could claim absolute power in England. SOMEONE ONE PLEASE HELP Who says the following?"Nonsense... This hot weather is making you soft, Whitney. Be a realist. The world is made up of two classesthe hunters and the huntees. Luckily, you and I are hunters. Do you think we've passed that island yet?"ZaroffWhitneyRainsfordFramton What is the solution to the system of equations ? Y=2/3 x + 3 X= - 2 If the equation y=-5x+12 is translated up five units, what would the new equation be? Which of the following is a geometric sequence?O A. 2, 4, 8, 16, 32O B. 3, 6, 9, 15, 24O C. 6, 13, 20, 27, 34O D. 2,5,7,12, 19 if jane give 2 pounds to charlotte they will have equal amount of money. insteadcharlotte give 4 to jane the ratio of jane's money to charlotte will be 2:1. how muchdo jane and charlotte each have to start with What is a polygon?a. A closed plane figure made up of line segmentsb. An open plane figure made up of line segmentsc. A closed plane figure made up of rays d. An open plane figure made up of rays Find the mean of the data in the bar chart below. X=5 then x + 6 Pls help A cell membrane is a phospholipid bilayer.Which major benefit does the arrangement of lipids in the membrane provide to a cell?a. The surfaces of the membrane can interact with water solutions.b. The surfaces of the membrane are nonpermeable.c. The bilayer makes the cell strong and rigid.d. The phospholipids help the cell easily change size. please find Area of triangle Which type of RNA is transcribed from DNA to carry a message?A. rRNAB. tRNAC. mRNA Are you ok with giving up some freedoms to protect against terrorism? Explain.