He height of a triangle is 9 m less than is base the area is 56 m^2 what is the length of the base?

Answers

Answer 1
Formula for area of triangle:
A= 1/2 bh
Where b is the base and h is the height of the triangle.
Here, h= b-9
A=56 m^2
Put values in formula.
56= 1/2 (b) (b-9)
56=b(b-9)/2
Multiply both sides by 2.
112=b^2-9b
or
b^2-9b-112=0
Factorise the equation.
b^2-16b+7b-112=0
b(b-16)+7(b-16)=0
(b+7)(b-16)=0
Using zero factor theorem.
b+7=0 or b=-7
and
b-16=0 or b=16
Ignore the value b=-7, because length cannot be negative.
So length of base=16 m

Answer: Base=16m



Related Questions

Thirty points for this question

Answers

20^2 = 30 * y
400 = 30 * y

y = 400 / 30
y = 13.33

what is the value of x in circle c

Answers

Answer:

If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion. So we have:

10(10) = 5(3x + 5)

100 = 15x + 25

15x = 75

x = 5

What is 312.501 rounded to the nearest whole number? A. 310 B. 311 C. 312 D. 313

Answers

313. Anything .5 or higher rounds up to the higher number.
Hope it helps!
Final answer:

In mathematics, the principle of rounding instructs us to look at the decimal part . If it's .5 or higher, we round up; if it's less than .5, we round down. Hence, 312.501 rounded to the nearest whole number is 313.

Explanation:

The question pertains to the concept of rounding numbers. In mathematics, rounding means replacing a number with an approximate value that has a shorter, simpler, or more explicit representation. To round 312.501 to the nearest whole number, we look at the decimal part of the number. If the decimal is .5 or greater, we round up; if it's less than .5, we round down. In this case, the decimal part is .501, so we round up to the next whole number.

So, 312.501 rounded to the nearest whole number is D. 313.

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pLEASE HELP ASAP WILL GIVE BRAAINLIEST

Answers

Answer:

Solution given:

Over here

x°+90°+61°=180° being a linear pair is used

Mia is planting a garden with peppers and lettuce, her favorite vegetables. The width of the garden will be 6 feet, and the length of the garden will be x + 2 feet. Mia made sure to move the garden 14 feet away from her house so the garden has direct sunlight exposure. What is the area of the garden?

Answers

6x+12 is the area of the garden. Is there a picture?

find the length of the side not given hypotenuse =14, leg =13

Answers

Answer:

[tex]\boxed{x=3\sqrt{3}}[/tex]

Step-by-step explanation:

A right triangle is the one that has a 90° degree side. The hypotenuse is the largest side while the legs are the other two sides. The sketch for this problem is shown in the Figure below. To compute the other side, that is x, we must use the Pythagorean Theorem as follows:

[tex]H=\sqrt{Leg_{1}^2+Leg_{2}^2} \\ \\ \therefore H^2=Leg_{1}^2+Leg_{2}^2 \\ \\ Leg_{2}=\sqrt{H^2-Leg_{1}^2} \\ \\ x=\sqrt{14^2-13^2} \\ \\ \therefore \boxed{x=3\sqrt{3}}[/tex]

Which of the following does not describe slope? A rate of change Rise over run A proportional relationship A line

Answers

A line does not describe slope

The curve has an equation containing the variables. The rate of change of any independent variable concerning the dependent variable is entitled as the slope of the tangent to the curve. Thus, the line does not describe the slope.

Slope can be defined as the ratio of the change in the value of the dependent variable to the change in the value of an independent variable.

Let us consider the equation of a line that is y=mx+c.

Here, m is the slope of the line and the value of m is y/x.

Following are the points that may describe the slope.

Rate of change.

Rise over.

Proportional relationship.

A line can never be a slope because the slope is always a numeric value and a line can always be an equation that contains variables.

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Joe wants to carpet a 12 foot by 18 foot rectangular living room and square bedroom. One side length of the square bedroom is 12 feet. Carpets cost $3.50 per square foot. What percent of the total amount joe will pay will be spent on carpeting the bedroom? Show your work.

Answers

First,12 multiplied by 18 is 216. Multiply 216 by 3.50 to get the amount paid for the living room (Which is $756). Next, you find the square footage of the bedroom (12x12) which is 144 square feet. Multiply 144 by 3.50 and you get the amount paid for the bedroom ($504). Thirdly, you add the cost of the living room and the bedroom together, giving you $1,260 total. Lastly, you divide 504 (Bedroom) by 1,260 (Total) to get .4  . Multiply by 100 (Or just move the decimal twice to the right), and you get your percentage which is 40%

A regular 7 sided figure is divided into 7 congruent triangles ,each with a base of 12 inches and a height of 12.5 inches. What is the area of the 7 sided figure.

Answers

You must apply the following formula to calculate the area a triangle:

 A=bxh/2

 b=12 inches (the base of the triangle)
 h=12.5 inches (the height of the triangle)

 When you substitute these values into the formula, you obtain:

 A=bxh/2
 A=(12 inches)(12.5 inches)/2
 A=75 inches²

 You already have the area of one triangle. So, you only have to multiply this area by 7, because the seven (7) triangles are congruent, which means that they have the same area:

 At=Ax7
 At=(75 inches²)(7)
 At=525 inches²

 What is the area of the 7 sided figure?

 The answer is: 525 inches²

Answer:

Step-by-step explanation:

I did (1/2 divided by 12) and then I got 6 so I times it with 12.5 and got 75 then I times it by 7 to get 525

Algebra 1 (pic included)

Answers

If you are given that b = 2, then just plug it in:
[tex]2(2)-4 = 4-4 = 0[/tex]

So, your final answer is 0.

What is the sum of (7x-6y) and (x + y)

Answers

The answer should be 8x-5y

We have to find the sum of (7x-6y) and (x+y)

(7x-6y) and (x+y) are two Algebraic expressions

Sum of two algebraic expressions is also a algebraic expression

So, (7x - 6y) + (x+y) = 7x - 6y + x + y

= 7x + x + y - 6y

= x (7 + 1) + y - 6y

= 8x + y - 6y

= 8x + y ( 1 - 6 )

= 8x + y ( -5 )

= 8x - 5y

Hope this helps..!!

Thank you :)

1 inch = 2.5 cm.

How many inches are there in 17.4?

Answers

i believe the answer would be 6.96 cm
6.8503937 isthe amount

There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the theoretical probability of randomly drawing a red marble?

Answers

So first we add up all the marbles. Which would be 25. Then we look to see how many red marbles there are. There are 5. You have a 5/25 chance of drawing a red marble. But you can reduce that. So when it's all said and done you have 1/5 chance of drawing a red marble.
Hope this helps!

Seth made 5 identical birdhouses in 4hours what fraction of an hour did it take Seth to make one birdhouse

Answers

the answer is .8hours or 48 minutes

Oliver lives in a state with no state income tax. He pays $150 in payroll tax each week. If the federal income tax is 0.75 of the payroll tax, how much are the other taxes.

Answers

The other taxes amount to $37.5.

v-3/v-5=-12/7 what is the answer

Answers

V= 81/19
......................................................................................................

what are the coordinates of a point that is 3 units left of the the y axis and 5 units above the x axis

Answers

The answer is (-3,5)

Rachel has 60 scones. She sells them to Robbie , Cameron , Lou’s , Tom and Charlie in that order. Each customer buys more scones than the last and the increase is the same number in each case . Robbie and Cameron’s combined total number of scones is three sevenths of the total of Louis , Tom and Charlie . How many scones does each boy buy ?

Answers

suppose robbie buys x scones then according to the question.....cameron will have x+y
..lou's will have (x+y)+y=x+2y ...
Tom=x+3y....
Charlie=x+4y.....
now as we know that the combines scones of robbie and Cameron is 3/7 times of total of louis.....
x+(x+y)=3/7 (x+3y+x+2y+x+4y)....solve this ...and this will be your 1st equation...and second equation will be x+x+2y+x+3y+x+4y=60.......And solve both equation simultaneously and then you will have the answers of x and y the put the values of x and y in each of the equation that i have written above for each person

Express the whole number 4 as a fraction. And express the whole number 1 on a number line as a fraction.

Answers

The answer to your first question is 4/1.
The first answer is 4/1 because 4 is a whole number so it is in one piece. Same thing goes for 1, which as a fraction is 1/1. Hope this was helpful.

Please help on 9. Begging

Answers

Compound Interest Formula:
A = P(1 + r/n)^(nt)

A= Accumulated amount with interest P= principal= $1000
R= annual interest rate (decimal)= 0.05
N= # times compounded per year= 12
T= # of years= 10

A= 1000(1 + 0.05/12)^(12*10)
divide inside parentheses first

A= 1000(1 + 0.0041666667)^ (12*10)
add inside parentheses

A= 1000(1.0041666667)^ (12*10)
multiply exponents

A= 1000(1.0041666667)^120
multiply parentheses by exponents

A= 1000(1.6470095043)
multiply last two numbers

A= $1,647.01 amount after 10 years

ANSWER:
D) $1647.01 total after 10 years

Hope this helps! :)

The vertex of the of the quadratic function f(x)=x^2 is at (0,0), which is a the minimum for the graph of f... to where you predict the vertex will be translate for the graphs of g(x)=(x-2)^2 and h(x)=(x+3)

Answers

When there is a number added to or subtracted from x before it is squared, it shifts the graph to the left or right.  For g(x)=(x-2)², the graph would be shifted to the right two units; therefore the vertex would be at (2, 0).  For h(x)=(x+3)², the graph would be shifted to the left three units; therefore the vertex would be at (-3, 0).

What is the westernmost capital of the southeast

Answers

Final answer:

The westernmost capital of the southeast is Little Rock, Arkansas.

Explanation:

The westernmost capital of the southeast is Little Rock, Arkansas. Little Rock is the capital city of the state of Arkansas, which is located in the southeastern region of the United States.



Arkansas is considered part of the southeast region due to its geographic location and cultural similarities to other states in the region. Little Rock is located on the westernmost edge of the state, making it the westernmost capital city among the states of the southeast.



Other capitals in the southeast include Atlanta, Georgia; Columbia, South Carolina; Tallahassee, Florida; and Nashville, Tennessee.

The bake sale raised $90. If each cupcake sold for $ 0.75, how many cupcakes were sold?

Answers

120 cupcakes because 90/0.75= 120

what is the supplementary angle of 32

Answers

Supplementary Angles = 180

180 - 32 = 148

The supplementary angle of 32 would be 148.
i think the answer is 58 
hope it helps 
please mark brainliest

Write a (LONG) Paragraph Describing How Geometry Relates to Real Life World Careers.
Pick a career for geometry and write how it relates to geometry?

Answers

One career that involves geometry is construction. Shapes and sizes need to be exact in order for this work to be properly done. People who work in construction build houses and other types of buildings, but if they don't use geometry in their work, the work wont be done properly.

Ivan has 4 hours of Music on his MP3 player jazz makes up 1/6 of the total time how many hours of jazz are on Ivan's MP3 player show your work

Answers

The answer for this problem is 2/3

The hours of jazz are on Ivan's MP3 player, if Ivan has 4 hours of Music on his MP3 player is 2/3 or 0.7 hours.

What is fraction?

Only verbal descriptions of a portion of the whole were used to write fractions in ancient Rome. The numerator and denominator of fractions are first written in India with one number above the other but without a line. The line used to divide the numerator and the denominator were only added by Arabs.

Given:

Ivan has 4 hours of Music on his MP3 player,

jazz makes up 1/6 of the total time,

Calculate the hours of jazz on Ivan's MP3 player as shown below,

The hours of jazz are on Ivan's MP3 player = 1 / 6 of the total time

The hours of jazz are on Ivan's MP3 player =  1 / 6 × 4 hours

The hours of jazz are on Ivan's MP3 player = 4 / 6

The hours of jazz are on Ivan's MP3 player = 2 / 3

Thus, the time of jazz is 2 / 3 or 0.7 hours.

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The table below shows a set of data.
Which of the following points, if added to the table, would be an outlier?

(7, 73)
(7.5, 70)
(8, 35)
(8.5, 66)

Answers

I believe The answer is 8, 35

Answer:

The outlier is:

(8,35)

Step-by-step explanation:

We know that outlier of a data is the data point that stands out as compared to rest of the data point i.e. it either takes a too high or too low value as compared to other data points.

Clearly from the table given in the ques we see that the data points attains a value in the interval 60-75.

Hence, the data point that is an outlier is:

(8,35)

since 35 is a too low value as compared to others.

A rectangular prism has a length of 4 1/2 millimeters, a width of 4 1/2 millimeters, and a height of 6 millimeters. Sally has a storage container for the prism that has a volume of 143 cubic millimeters. What is the difference between the volume of the prism and the volume of the storage container?

Answers

Hello!
----------
The difference between the volume of the prism and volume of the storage container is 21.5 millimeters.
----------
WORK: 4.5*4.5*6=121.5
              143-121.5=21.5
----------
Have a great day!

Answer:

21.5

Step-by-step explanation:

i took the quiz and had gotten it right

Use the elimination method to solve the system of equations.
5x + 2y = 7 −5x + 4y = 5

( 35, 2)

There are an infinite number of solutions.

(2, 1)

There is no solution.

Answers

5x + 2y = 7
-5x + 4y = 5

You can immediately eliminate the x-terms and subtract:

  2y = 7
  4y = 5
-_____
-2y = 2
   y = -1

Substitute back to find x:

-5x + 4y = 5
5x + 4(-1) = 5
5x - 4 = 5
5x = 9
x = 1.8

Finally, substitute back to check your work:

5x + 2y = 7  =>  5(1.8) + 2(-1) = 7  =>  9 - 2 = 7  <--True
-5x + 4y = 5  =>  -5(1.8) + 4(-1) = 5  =>  -9 - 4 = 5  <--False

Answer:
There is no solution.

Can anyone explain this to me??

Answers

you would have to find the area of each side and add it all together if you were to solve it out it would be 45+25+32+25+35+35=394
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