The base of a triangle exceeds the height by 5 yards. If the area is 250 square yards, find the length of the base and the height of the triangle

Answers

Answer 1

Answer:

height = 20 yards and base = 25 yards.

Step-by-step explanation:

let the height = x yards.

base = (5 + x) yards.

area = 250 square yards

Area = 1/2 bh

250 = 1/2 × (x)(5+x)

250 × 2 = 5x + x2

500 = x2 + 5x

x2 + 5x - 500 = 0

factorizing:

(x + 25)(x - 20) = 0

x = -25 or 20

but length cannot be negative,

hence x = 20 yards.

height = 20 yards

base = (5 + 20) = 25 yards.


Related Questions

Calculate the difference.

-1 - 7

What​

Answers

Answer:

-1-7 = -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Suppose the equation of line t is y = x. Which shows the graph of A'B'C' for Rt?

Answers

Answer:

A'(1, -1), B'(-1, 1), C'(-1, -1)

Step-by-step explanation:

Coordinates of the vertices of the given triangle ABC are,

A(-1, 1), B(1, -1), C(-3, -1)

We have to find the new coordinates of these vertices after reflection across y = x,

Rule for the reflection of a point across a line, (y = x) is,

(x, y) → (y, x)

Following the given rule of transformation,

A(-1, 1) → A'(1, -1)

B(1, -1) → B'(-1, 1)

C(-3, -1) → C'(-1, -3)

sub to astronaut gaming i have 27 subs if you need help finding i will help

Answers

Answer:

i subbed :P

Step-by-step explanation:

hope this helps </3

pleas help ill give extra points and brainlyest

Answers

Answer:

its B

Step-by-step explanation:

The answer is:
B. $27,500

PLZ HELP ill make brainleist to the correct awnser −2 1/2÷6


−2 1/6

−5 1/2

5 1/2

2 1/6

Answers

Answer: -7/4

Step-by-step explanation: u juss simplify -21/2/6 and get -7/4

Answer:A

Step-by-step explanation: The answer above me is wrong, it’s not even an answer choice, but I got my answer by using a calculator

Determine the equation of a circle with center (5,-3) and radius of 9

Answers

Step-by-step explanation:

solve by using the formula

The required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

As in the mentioned question,
center (5,-3) and radius is 9,
(x - h)² + (y - k)² = r²

(x - 5)² + (y +3)² = 9²
x² + y² -10x + 6y - 48 = 0

Thus, the required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

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A line has a slope of -3/4 and passes through the point (-5, 4) which is the equation of the line?
A: y=-3/4x + 1/4
B: y= -3/4x + 4
C: Y= -3/4x - 2
D: y= -3/4x -1/4

Answers

Answer:

Correct choice: A

[tex]y=-3/4x+1/4[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

[tex]y-k=m(x-h)[/tex]

Where m is the slope and (h,k) is a point through which the line passes.

We are given the slope of a line m=-3/4 and the point (-5,4). Substituting:

[tex]y-4=-3/4(x+5)[/tex]

Operating:

[tex]y-4=-3/4x-15/4[/tex]

[tex]y=-3/4x-15/4+4[/tex]

[tex]\boxed{y=-3/4x+1/4}[/tex]

Correct choice: A

Answer:

It’s a no cap

Step-by-step explanation:

I took the test on edge

What is 15% of 60? How did you find your answer?​

Answers

Answer:

15% of 60 is 9

Step-by-step explanation:

15%= 3/20

3/20*60= 180/20

180/20= 9

15% of 60 is 9

Hope this helps!

Answer:

9

Step-by-step explanation:

60×15%=9 therefore, 9 is your answer

Carlos went to Kroger and spent $9.00. He spent 1/4 of his money on games. How
much money was spent on games?

Answers

Answer:

$2.25

Step-by-step explanation:

9/4=2.25

checking work:

2.25+2.25=4.50

4.50+4.50=9

A rectangular poster is 5 dm long and 3 dm wide. Sara wants to paint the whole poster. Find the area of the poster in square cm.

Answers

Answer:

[tex]\boxed{1500cm^{2} }[/tex]

Step-by-step explanation:

Area = Length × Width

→ Identify the length and width

Length = 5 and Width = 3

→ Substitute in the values

Area = 5 dm × 3 dm

→ Convert into cm

Area = 50 cm × 30 cm

→ Simplify

1500 cm²


How many students like both Tennis and Soccer but not Surfing

Answers

Answer:

None.

Step-by-step explanation:

Answer: where’s the picture?

Step-by-step explanation:

If 12 roses cost 30.4 how much will 18 roses cost?

Answers

Answer:

45.6

Step-by-step explanation:

We can write a proportion to solve

12 roses     18 roses

------------ = -----------

30.4            x

Using cross products

12x = 30.4 * 18

12x=547.2

Divide each side by 12

12x/12 = 547.2/12

x = 45.6

The inverse of a linear function is a blank function

Answers

Answer:

The inverse of a linear function is not a function. Hope this helped

Step-by-step explanation:

Use the properties of operations. a. The Commutative Property is true for addition. For example, 7+2= 2+7. Does the Commutative Property apply to subtraction? Is 2-7 equal to 7-2? Explain.​

Answers

Step-by-step explanation:

Commutative property of addition is a+b=b+a

7+2=9 , 2+7=9

9=9

So, commutative property is true for addition

2-7=-5 , 7-2=5

-5 is not equal to 5

Commutative property does not apply to subtraction

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

Its the second one

Step-by-step explanation:

I used slope to solve it

Round 2.1132 to the nearest hundredth.
Answer:

Answers

Answer:

2.11

Step-by-step explanation:

hope this helps :)

Answer:

It would be 2.1100

Step-by-step explanation:

Suppose you scored an 80 on a measure where the mean is 65 and the standard deviation is 5. How many standard deviations from the mean is your score

Answers

Answer:

The score is 3 standard deviations from the mean

Step-by-step explanation:

To find this, we simply calculate the z-score

Mathematically;

z-score = (x-mean)/SD

In this question , x = 80

mean = 65

SD = 5

Thus;

z-score = (80-65)/5 = 15/5 = 3

can someone please answer both

Answers

Answer:

2.16•x is up ur function

21. 6 feet in 10 minutes

Step-by-step explanation:

when u multiply by ten u move the decimal to the right one place

Answer:

this is what u need .........

What is the distance from b (-35,25) to c (-20, 15)

Answers

Answer:

[tex]d = 5\sqrt{13}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(-20-(-35))^2+(15-25)^2}[/tex]

[tex]d = \sqrt{(-20+35)^2+(-10)^2}[/tex]

[tex]d = \sqrt{(15)^2+100}[/tex]

[tex]d = \sqrt{225+100}[/tex]

[tex]d = \sqrt{325}[/tex]

[tex]d = 5\sqrt{13}[/tex]

PLZ HURRY IT'S URGENT!!!
Write the equation of a line with a slope of -2 and a y-intercept of 3.
options:

y=3x−2

y=−3x+2

y=2x−3

y=−2x+3

Answers

Answer:

y=-2x+3

Step-by-step explanation:

Divide: 814 by 3.7

To make 3.7 a whole number, multiply by
.
If 3.7 becomes 37, then 814 becomes
.
The quotient is
.

Answers

Answer:

here!!! I hope this helps you all :))

The quotient of the divided numbers is:

220

What are whole numbers?

Whole numbers is a set of numbers which consists of positive integers and zero. Fractions are not represented as whole numbers.

For ex: [0,1,2,3,4,5,6,7,8,9....] is a set of numbers without any negative number and fraction.

Given:

Divide 814 ÷ 3.7

Hence, we need to multiply a number to 3.7 in order to make it a whole number.

Step 1:

So multiply and divide by number 10

814 × 10 ÷3.7 × 10 = 37

Now we got the number 37 and 814 becomes 8140

Step 2:

We divide both the changed numbers:

8140 ÷ 37

Hence we get the quotient as 220

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It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?

Answers

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

What is the perimeter, in units, of polygon EFGHJK?

Answers

Answer:

38 units.

Step-by-step explanation:

Perimeter of the polygon EFGHJK = 38 unit

What is perimeter?

Perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.

Given,

In graph of polygon EFGHJK

EF = 2 unit

FG = 10 unit

GH = 9 unit

HJ = 8 unit

JK = 7 unit

KE = 2 unit

Perimeter of EFGHJK = EF + FG + GH + HJ + JK + KE

                                    = 2 + 10 + 9 + 8 + 7 + 2

                                    = 38 unit

Hence, 38 unit is the measure of perimeter of polygon EFGHJK.

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What’s 1 times 5 times 2?

Answers

Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:1×5=5×2=10

what is the slope of a line parallel to the line whose equation is 3x - 2y = 18

Answers

Answer:

3/2

Step-by-step explanation:

3x - 2y = 18

y=(3/2)x-9

Slope of the given line=3/2

As parallel lines have same slope, slope of the line parallel to the line 3x - 2y = 18 is 3/2.

Hope it helps :)

Slope of a line parallel to the line whose equation is 3x - 2y = 18 is 3/2.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Two lines are said to be parallel when their slopes are same.

To find the slope of parallel line, we need to find slope of 3x - 2y = 18

3x-2y=18

-2y=18-3x

y=-18/2+3/2x

y=3/2x-18/2

Slope of line is 3/2

Hence, slope of a line parallel to the line whose equation is 3x - 2y = 18 is 3/2.

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Use polynomial identities to prove that 63^2=(60+32)^2

Answers

Answer:

Step-by-step explanation:

I'm not sure, but I think you mean

63^2 = 3969

60^2 =         3600

2*3 * 60 =      360

3^2                    9

Total =         3969

This comes from x^2 + 2*x*y + y^2

where

x = 60

y  = 3

Find Each Difference.
1) 2-(-2)=
2) (-1)-10=
3) 8-7=
4) (-8)-(-6)

Answers

Answer:

1) 4

2) -11

3) 1

4) -2

Step-by-step explanation:

What is the solution set of the quadratic inequality x^2-5<0

Answers

Answer:

-√5 < x <  √5 .

Step-by-step explanation:

x^2 - 5 < 0

Solving x^2 - 5 = 0

x = √5 and -√5

These are the critical points

The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.

so the region when x^2 - 5 is < 0 is  when  x >  -√5  and < √5

                 

Answer:

D

Step-by-step explanation:

I need help and I don’t know what to do! What is 6x+y=17?

Answers

Answer:

6×+y-17=0 it is the correct answer and hope this help for you

Write an equation in slope-intercept form for the line that has a slope of -1 that passes through (-4,3).

Answers

Answer:

[tex]\huge\boxed{y=-x-1}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

[tex](x_1;\ y_1)[/tex] - point on a line

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

We have

[tex]m=-1;\ (-4;\ 3)\to x_1=-4;\ y_1=3[/tex]

substitute

[tex]y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1[/tex]

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