The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centimeters, what is the length of the base, in centimeters?

Answers

Answer 1

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]

And its value is 180:

[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]

Multiplying by 2:

[tex](h+9)h=360[/tex]

Operating:

[tex]h^2+9h-360=0[/tex]

Factoring:

[tex](h-15)(h+24)=0[/tex]

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.


Related Questions

3/4 ^ 5/12 = 3/4 x _______

Answers

2/3 I think I hope it’s right

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
is the slope-intercept form of the equation for this line?
O y = 1 x - 12
O y = -x-4
O y=+*+2
O y=x+6

Answers

Answer: y = x/4 + 2

Y equals one fourth x plus two.

Step-by-step explanation:

There seems to be a typo on answer choice c.

Slope intercept form is y= mx + b

m is the slope. b is the y-intercept.

The y-intercept is given here in the coordinate (0,2) It is +2

Slope is rise/run.

Rise: Difference in given y-values is 4-2 = 2.

Run: Difference in x-values is 8-0=8.

So the slope is 2/8 = 1/4

The equation is y = 1/4 x + 2

a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP

Answers

the answer would be ≈43.7

Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ

Answers

Answer:

Stands Steakhouse has 210 servers.

Step-by-step explanation:

5 servers to 1 cook.

5/1 = x/42

x = 5 * 42 = 210

24% of 72 is what number? (will mark brainliest for full explanation)

Answers

Answer:

300

Step-by-step explanation:

Answer:

17.28

Step-by-step explanation:

Multiply 72 by .24, .24 being 24% because it is 24 out of 100.

Write the next three terms: 7,10,13,16,

Answers

Answer:

7,10,13,16,19,21,24,27

Step-by-step explanation:

Add 3 every time

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

28 is 7 times what number?
8 is 32 times what number?
4000 is 4 times what number?
Choose one part and explain how you know your answer is correct.

Answers

Answer:

1) 28 divided by 7 equals 4

2) 32 divided 8 equals 4

3) 4000 divided by 4 equals 1000

i hope these are right!

Answer:

4

1/4

1000

multiply it by the reciprocal of the 2nd number

Step-by-step explanation:

Choose the correct expression for 10 decreased by 3x

Answers

Answer:

10-3x=0

    3x=10

    x=10/3

Step-by-step explanation:

the answer is x= 10/3

Solve for w.

w−8=32


w = 4

w = 24

w = 40

w = 256

Answers

Answer:

w=40

Step-by-step explanation:

Let's solve your equation step-by-step.

w−8=32

Step 1: Add 8 to both sides.

w−8+8=32+8

w=40

.......W=40........ So C

help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️ 3) Scott is twice as old as Ben. Donna is 6 years older than Ben. The sum of their ages is 34. How old are Donna, Scott, and Ben?​

Answers

Answer:

S=2B

D=B%2B6

S%2BD%2BB=34

Substitute,

2B%2BB%2B6%2BB=34

 

4B%2B6=34

4B=28

B=7

Then,

S=2%287%29=14

D=7%2B6=13

Step-by-step explanation:

hope this helps

Answer:

donna is 13

scoot is 14

ben is 7

Step-by-step explanation:

2x+6=34 2x+6-6=34-6 2x=28[tex]\frac{2x}{2} =\frac{28}{2}[/tex]x=14

Someone please help me with number 6 lve been stuck on it forever

Answers

Answer:

x = 10

Step-by-step explanation:

8x - 13 = 5x + 17 (DE = EF)

8x - 5x = 17 + 13

3x = 30

x = 10

Please help me I am confused

Answers

Add 8 to both sides of the equation

What is the polynomial of least degree with the given zeroes O with a
multiplicity of 3, -1 with a multiplicity of 2, i, and -i?

Answers

Answer:

the answer is by making this question make sense and less confusing

Step-by-step explanation:

Helpppppppppppppppp it is due now

Answers

the answer is : 120


you add 15+45 then subtract by 180

Which is true of the standard form of the equation of the line graphed the value of a can be

Answers

Answer:

Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?

Step-by-step explanation:

answer-4p - 7 = 13

Todd and Kyle wrote down these numbers. Todd’s number is 78,452 Kyle’s number is 94,725 Which statement below is true about the values of the numbers? *

The value of the 2 in Todd’s number is 10 times larger than the value of the 2 in Kyle's number.

The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

The value of the 4 in Kyle’s number is 10 times larger than the value of the 4 in Todd’s number.

The value of the 4 in Todd's number is 10 times larger than the value of the 4 in Kyle’s number.

Answers

Answer:

Your answer would be The third option or C

Step-by-step explanation:

Answer:

c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

Step-by-step explanation:

math answer

W-4y+z=0 for z (please show work)

Answers

Answer: z=-w+4y

Step-by-step explanation:

W-4y+z=0

Calculate product

w-4y+z+0

Move variables to the right

ANSWER QUICKLY!!!11!!!1!1

what is 3/4 divided by one - sixths

Answers

4.5, or 9/2 or 4 1/2

A chef at a restaurant uses 17 pounds of butter each day. About how many grams does the chef use each day?

Answers

answer

7711.07

Step-by-step explanation:

The chef uses 7,711.03 grams each day at a restaurant.

How to convert Pounds to Grams?

The methodology to convert Pounds to Grams is relatively simple. To convert Pounds to Grams, you must multiply the unit by 453.59.

For example, if you have to convert 5 Pounds to Grams, you need to multiply 5 by 453.59.

A chef at a restaurant uses 17 pounds of butter each day.

We have to determine the number of grams the chef uses each day.

Since 1 pound (lb) is equal to 453.59 grams (g).

So 17 pounds = 453.59 × 17 = 7,711.03 grams

Thus, the chef uses 7,711.03 grams each day.

To learn more about the unit conversion click here:

https://brainly.com/question/12792843

#SPJ2

what is difference between applied force and normal force?​

Answers

Answer:

An applied force is a force that is applied to an object by a person or another object. If a person is pushing a desk across the room, then there is an applied force acting upon the object. The normal force is the support force exerted upon an object that is in contact with another stable object.

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?

Answers

Answer:

y=4x-10

Step-by-step explanation:

Write 7 more than w is 25 as an algebraic equation.

Answers

Answer:

w+7=25

Step-by-step explanation:

if you need it solved its

w+7=25

   -7 -7  

w=18

Answer:

7+w=25

Step-by-step explanation:

when it says more than, that's addition, so 7 more than w is 7+w

25 is the answer so that's self explanatory

Which reason justifies statement 2?

A) Vertical angles are congruent

B) Corresponding angles are congruent

C) Alternate interior angles are congruent

D) Alternate exterior angles are congruent

Answers

Answer:

C. Alternate interior angles are congruent

Step-by-step explanation:

<Y and <4 are two alternate angles within the two parallel lines cut across by the transversal, hence, they are called alternate interior angles.

Alternate interior angles are always congruent to each other. Therefore, the reason that justifies statement two: "<Y ≅ <4", is "Alternate interior angles are congruent".

Of the 16 children at the park, 10 are riding bicycles and 6 are riding skateboards. Select the
statements for which the ratio is correct.
a. The ratio of bicycles to skateboards is 10 to 6
b. The ratio of skateboards to children is 3.8
c. The ratio of bicycles to children 6 to 16
d. The ratio of skateboards to children is 6 10
The ratio of bicycles to children is 5,8
The ratio of bicycles to skateboards is 5.3
e
f.
f

Answers

Answer:

Step-by-step explanation:

its a or e

Answer:

A

Step-by-step explanation:

A is bicycles to skateboards which is 10:6

Choose the correct rule for the graph shown. Please Help 30POINTS

Answers

Answer:

B

Step-by-step explanation:

Answer:

B) y=3x

Step-by-step explanation:

Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and Solve an equation. If needed, use P to represent the number of pencils, and E to represent the number of Erasers. (This is for Multi-step Linear Equations)

Answers

Answer:

How much per a pencil and eraser? I'll help you out from there :)

is 0.75 repeating irrational or rational

Answers

Answer:

This is a rational decimal and is not a repeating decimal.

Step-by-step explanation:

A line passes through the points (8, 1) and (6, 7). What is the slope?



Answers

Answer:

-3

Step-by-step explanation:

7-1=6

6-8=-2

A line connects the points (8, 1) and (6, 7). The angle is -3.

What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.

Therefore,

Slope (m) = ΔY/ΔX

= 3/-1

= -3

The slope =  -3

θ = arctan(ΔY/ΔX) + 180°

=1 08.43494882292°

ΔX = 6 – 8 = -2

ΔY = 7 – 1 = 6

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = -3x + 25

When x = 0, y = 25

When y = 0, x = 8.3333333333333

Hence,  A line connects the points (8, 1) and (6, 7). The angle is -3.

To learn more about slope, refer to:

brainly.com/question/16949303

#SPJ2

9. Which expression is equivalent to 14(8x−36)+2x? (1 point)

a. 10x - 36

b. 30x

c. 4x - 9

d. 4x - 36

Answers

Answer:

Step-by-step explanation:

14(8x-36)+2x

112x -504 +2x

114x-504

Use the chart and graph to find the number of pairs of size 10 1/2 shoes the store orders for a total order of 175 pairs of shoes.

Answers

Answer

Ste2p-by-step explanation:

20 BECAUSE IM DOING THE SAME TEST 20 BECAUSE COUNT UP A COLUMN

Other Questions
Johnson corporation began the year with inventory of 14,000 units of its only product. units cost $8 each. The company uses a Perpetual inventory system and the fifo cost method. The following transactions occurred during the year: a. purchase 70,000 additional units at a cost of $10 per unit. Terms of the purchases were 2 /10 n/ 30, and 100% of the purchases were paid within the 10-day discount. The company uses the gross method to record purchase discounts. The merchandise was purchased f. O. B. Shipping point and Freight charges of $0.40 per unit were paid by Johnson. b. 1400 units purchased during the year will return to suppliers for credit. Johnson was also given credit for the freight charges of $0.40 per unit it had paid on the original purchase. The units were defective and were returned two days after they were received. c. sales for the year totaled 65,000 units at $18 per unit. d. on December 28th Johnson purchased 5400 additional units at $10 each. The goods were shipped f. O. B. Destination and arrived at Johnson's Warehouse on January 4th of the following year e. 17600 units were on hand at the end of the year. required: 1. for financial reporting purposes, the company uses lifo (amounts based on the Periodic inventory system). Record the year-end adjusting entry for the lifo reserve, assuming the balance in the lifo Reserve at the beginning of the year it's $15,800 2. determine the amount the company would report as income before taxes for the year under lifo. Operating expenses other than those indicated in the above transactions amounted to $158,000 What could the author add to better clarify the central idea? Patrick wants to use a gift certificate to buy some songs and videosfrom an online media store. Songs (s) cost $1 each. Videos (v) cost $2.50 each. Patrick has a gift certificate for $25 for the store.Which inequality represents the number of songs and videos Patrickcan buy using only his gift certificate? need help with my Spanish. Photo down below The "slave codes" were laws based on the concept that... The original price of pair of jeans is $40. The sales prices is 20% off the original price. What is the discount? Answer must be listed in $ form. The states affected most severely by Dust Bowl storms were Oklahoma, New Mexico, Texas, Kansas, and __________.A.ArkansasB.MissouriC.NebraskaD.Colorado What is one example of chemical weathering affecting a rock Which sentence contains the compound subject?Taking cattle on the long drives was often a tough, grueling task for western cowboys.The cattle could be unpredictable and might stampede during lightning storms.Just like it has been portrayed in old western movies, cattle drives were a common occurrence in the West.Cowboys and ranchers often performed cattle drives as part of their regular duties. I'll really appreciate it if you give me the answers Answer the question in the picture. If its right Ill mark brainliest Who drafted the Declaration of Sentiments, which was presented at the Seneca Falls Convention in 1848?Abigail AdamsElizabeth Cady StantonLucretia MottSusan B. Anthony The US became involved in World War II to oppose the aggression of-the Axis powers, including Japan, Germany, and Italy.-the Chinese region of Manchuria.-the Sudetenland of Czechoslovakia.-the Allied powers, including Great Britain and France. Whoever can Revise my essay the best or rewrite it the best will get brainliest and 5 stars I can fix grammar mistakes just pls hurry this is due today at 12 20 so pls hurryThere has been an explosion of coaches everywhere recently. Life coaches, business coaches, We may or may not take them seriously, but we must know something. Most, if not all of them, be it famous ones or not-so-famous ones, agree at one valuable point: goals are crucial. Short-term as well as long-term goals are the key the achieving a more successful life.What professionals such as Tony Robbins claim is that having goals will provide you with a direction in life. The steps you take will gain value as to whether or not they take you any closer to those goals. If they dont, the best thing to do would be to evaluate how they can be changed or even left out and substituted for more efficient ones. Robbins, continually tells the story of how he wrote down every single thing he wanted to achieve in life along with the actions he would take to do so and how he did indeed achieve all of those things.When it comes to landing that beautiful and profitable a dream job, setting a long-term goal can undoubtedly direct your actions. If you choose to focus only on the short-term aspects of work and professional development, odds are that you will end up near-sighted. You will only work hard at things that can bring you immediate compensation. Those things are not naturally going to land the dream job. They will keep you alive, pay bills, and buy some food, but wont necessarily satisfy the requisites to get to the top, whatever that can mean to you.If you do choose to have a long-term goal that is dream-job related, the chances are that you will choose different paths. You will not see that ten-month course as a waste of time, since it will give you useful skills. You will spend your money more wisely, viewing it more as an investment than as a necessary evil. You will gain a new perspective of what time means and develop the sense that immediacy is overrated.There are those who call themselves realistic or, more honestly, pessimistic. They may claim that setting long-term goals is nothing but a recipe to feeling like a failure. Truth be told, it is indeed possible that you wont achieve every single thing you wish for, which is actually in most cases for us that we don't necessarily achieve our every goal. It might be our lack of willpower or that our goal was just not engineered very well. So that is a reality not only for you but for everyone else on this planet. However, not achieving something should not be a synonym for failure. It can mean some rethinking is important, some assessing needs to be done, a new plan should be concocted. Great minds goals, such as Elon Musk, are not only long term but also ambitious. And if they fail on their way, they find the means to try again, now with improved knowledge from the previously failed experience.Tony Robbins says that most people overestimate what they can do in a year, and underestimate what they can do in a decade. That is the real recipe for failure: seeing time as a factor of stress and pressure instead of an ally. By giving yourself a grand goal and a good amount of time to do it such as landing the dream job in five to ten years, you are being more realistic than you would be by either giving up altogether or trying to do it impossibly quickly. Landing a dream job takes time and effort, but as long as you set good reasonable goals, you can accomplice almost anything. FEMALE REPRODUCTIVE SYSTEM (SE-7) (have this done correctly for brainiest)label the image with the words below. This equation has one solution.3(x-2) + 4x = 10(x + 1)What is the solution?O-5O-2-163-167Intro Where is the National Baptist Convention? -5x - 5y = 10 ???6x + 3y = -30 ???? 4x + y = -2 ?? x + y = 1 ???what is X and Y !! A grocery store sells snacks by weight. A 6-oz bag of gummy worms costs $3.60. How much would it cost for a 2-oz bag? I WILL GIVE BRAINLIEST Pretend you're riding the bus to school on a very cold and snowy day. List 3 different phases changes you might see along the way.