The area of a triangular flower bed in the park has an area of
120 square feet. The base is six feet shorter than three times the height. What are the base and height of the triangle?

Answers

Answer 1

Answer:

b = 24 ft

h = 10 ft

Step-by-step explanation:

120 = ½hb

120 = ½h(3h - 6)

240 = h(3h - 6)

240 = 3h² - 6h

 80 = h² - 2h

    0 = h² - 2h - 80

    0 = (h - 10)(h + 8)

    h = 10 ft or -8 ft

 we ignore -8 as it makes no sense for a triangle side length.

b = 3(10) - 6 = 24 ft


Related Questions

Can somebody answer this for me?

Answers

point slope form
standard equation: y-y1 = m(x-x1)
point given: (6,3)
slope given: 5/3
equation: y-3 = 5/3(x-6)
choice b

Given: passes though (6,3) and m=(5/3).

Ok so we know that y = mx + b is the equation of a line and we have m and we can find b via substitution.

y = mx + b

3 = (5/3)(6) + b

3 - (5/3)(6) = b

b = -7

Great now we know b so we can construct the rest of the linear function.

y = f(x) = (5/3)(x) - 7

You can always check the answer by plugging 6 into the x variable.

f(6) = (5/3)(6) - 7 = 3

(6,3) checks out.

Use Pascal's Triangle to determine the sixth term of the expansion of (x + 5)^7

Answers

Pascal's triangle up to the 7th row (starting with 0)

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

Then the 6th term in the expansion of (x + 5)⁷ is

7 • x¹ • 5⁶ = 109375x

The legs of a right triangle are √5 feet and square root √11 feet long. How long is the hypotenuse?

Answers

[tex]v^{2}[/tex]Answer:

4 feet long

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

In this problem, a and b are the legs of the triangle, while c is the hypotenuse

Plugging the values of [tex]\sqrt{5}[/tex] and [tex]\sqrt{11}[/tex] to the equation you get:

5 + 11 = [tex]c^{2}[/tex]

Therefore, [tex]c^{2}[/tex] = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.

Help me with questions please​

Answers

Answer:

530.93 OR 530.9

Step-by-step explanation:

Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]

So now we multiply 13 squared or 13 x 13 which equals 169

Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give  us our answer.

530.93

530.9

The basic wage earned by a truck driver for a 40-hour week is $560.00
(i) Calculate his hourly rate
For overtime work, the driver is paid one and a half times the basic hourly rate.
(ii) Calculate his overtime wage for 10 hours overtime.
(iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week.​

Answers

Answer:

i: 14

ii: 140

iii: 770

(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.

Step-by-step explanation:

i: 650/40=14

ii: 14x10=140

iii: 14x55=770

Calculator
Which ordered pair is the solution to the system of equations?
1 -5x - 3y = 12
Y=x-12
0 (0, -4)
0 (-6, 6)
O (1, -11)
O (3,-9)

Answers

[tex] \text{Given : Which ordered pair is the solution to the system of equations?} \\ \\ \begin{cases}-5x - 3y = 12 \\ y - x = 12 \end{cases} [/tex]

[tex] \text{Solution : According to the question, here let's take these variables as two} \\ \text{equations then get their value and finally get the answer.} \\ \\ \sf {1}^{st} \: equation : \\ \leadsto \frak{-5x - 3y = 12} \\ \\ \leadsto \frak{-5x = 12 + 3y} \\ \\ \leadsto \frak{x= \frac{12 + 3y}{-5}} \qquad \sf ...eq(1) \\ \\ \sf 2^{nd} \: equation : \\ \leadsto \frak{y = x - 12} \qquad \sf ...eq(2) \\ \\ \underline{ \frak{finding \: x }} : \\ \\ \dashrightarrow \frak{x= \frac{12 + 3y}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3(x - 12)}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3x - 36}{-5}} \\ \\ \dashrightarrow \frak{-5x= 12 + 3x - 36} \\ \\ \dashrightarrow \frak{-5x - 3x= - 24} \\ \\ \dashrightarrow \frak{-8x = - 24} \\ \\ \star \quad \underline{ \boxed{ \green{ \frak{x = 3}}}} \\ \\ \underline{ \frak{ getting \: y}} : \\ \\ \dashrightarrow \frak{y = 3 - 12} \\ \\ \star \quad\underline{ \boxed{\blue{ \frak{y = - 9}}}} \\ \\ [/tex]

[tex] \green{ \mathbb{HENCEFORTH, \: THE \: PAIR \: IS \: \pink{\frak{ (3,-9)}}}}[/tex]

Evaluate the expression 61​

Answers

Answer:

61 + 8 is 69 and that is a funny number

Answer: if i get this correct mark me the brainlist promise

Step-by-step explanation:6+x=12To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

Example

Calculate the following expression for x=3 and z=2

6z+4x=?

Solution: Replace x with 3 and z with 2 to evaluate the expression.

6z+4x=?

6⋅2+4⋅3=?

12+12=24

keenan has $3.15. at a cany store,sour fruit chews are $0.07 each. how many sour fruits chews could he buy?

Answers

Answer:

45

Step-by-step explanation:

divide 3.15 by 0.07 to get 45

Answer:45

Step-by-step explanation:

divide 3.15 by 0.07 answer 45

25.3 + x= 32 what is the answer to this problem

Answers

Answer:

6.7

Step-by-step explanation:

Answer:

6.700

Step-by-step explanation:

hope this helped

please help me with this

Answers

Answer:

14 Is a divident of 7 and 14

Which choices are equivalent to the expression below? Check all that apply.
4./6
O A. 96
B. 132.5
I C. 4../36
O D. 116.6
E. 196
OF V24
SUBMIT

Answers

Answer is
B 32 • 3
D 16•6
E 96
Square root them and multiply to get the answer

Hep help help help please please

Answers

Answer:

7,6

Step-by-step explanation:

Start from the horizontal line and then the vertical line

Answer:

according to the y and x axis rule the x comes first which means that 6 should go in the green box and 7 in the grey

what if 5476 divided by 74? i need the working out too please!

Answers

I hope that the attachment helps you..

How much flour and vanilla would you need for 5 batches of cookies

Answers

Answer:  25 cups of flour & 10 teaspoons of vanilla

Step-by-step explanation: A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

5 x 5 is 25 cups of flour

2 x 5 is 10 teaspoons of vanilla

A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?

Answers

Answer:

so no answer

Step-by-step explanation:

no answer

f(x)=x^2-(7/2)x-.5 and g(x)= 2-(2/x)

Answers

Answer:

23

Step-by-step explanation:

Set A contains all prime numbers squared. Set B contains all multiples of 4. How many numbers are in the intersection of Set A and Set B

Answers

Answer:

The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.

Simplify the expression.5(z+4)+5(2−z)

Answers

Answer:

30

Step-by-step explanation:

Hope this helps!!! :))


Some home computers can do a calculation in 2 x 10 ? seconds. Write this number in standard form.

Answers

☆Answer :

2 × 10 = 20

see Picture.

Find the slope of the line that passes through:
(-12,-5) and (0, -8)

Answers

-3/12 because you can find the slope/m by doing the change of y over change of x

2 short questions
Please help

Answers

Answer:

b c = 5.25p this is the answer

For the first problem shown the answer is number B.

It is B because we our always going up by $5.25

For our second one it isn't a function,

it isn't a function because it follows the same rule through-out it besides at the end of it.

-6/5 - (-3/8)
Help please




Answers

Answer:

-0.825

Step-by-step explanation:

Did not know the options so do not know if this is right or not.

Here is ur answer.

- BRAINLIEST answerer

Dependent Task:

Directions: Write the place value and the value of the underlined digit.

Number PLACE OF VALUE VALUE
1. 0.345 _____________ _____
2. 0.3469 _____________ _____
3. 0.6ó54 _____________ ______


(UNDERLINED DIGIT)
1. 5
2.3
3.4


please​

Answers

Answer

Use your mind  

Nobody wants to help you, especially since you are no help to others.

HELP PLEASE!!
Use the drop-downs to complete the sentences about this arithmetic sequence.
32, 41, 50, ...
The common difference is ___.
The fourth term is ______
The fifth term is ______

Answers

Answer:9,59,68

Step-by-step explanation:

Just got it right

Does anyone know the solution

Answers

Answer and explanation in the image.

List at least five importance of having self discipline m following protocol during enhanced community quarantine in your respective barangay ​

Answers

Answer:

no clue -0- if I knew I would tell you

please work QUICK its a test​

Answers

If you’re solving for d, it would be d = 10-3i

Write an equation with a slope of 2 and a constant of -5

Answers

y=mx+b

m is the slope, b is the constant.

y=2x-5

End is making some pancakes for himself and five friends. The ingredients he needs are shown in the list below.

Pancakes (serves 2)
2/3 milk
3/4 flour
3/2 sugar
1 Egg

a. How many cups of flour will Ed need?
b. How many teaspoons of sugar will Ed need?​

Answers

Answer:

a. 2 1/4 cup of flour

b. 4 1/2 tsp. off sugar

Step-by-step explanation:

Since the recipe serves 2, the answer given will feed 5 (6) people.

The function f(x) = -2x^5 + x^3 - 7x is an odd function. Which rule is satisfied by this function?
A. f(x) = f(-x)
B. f(x) = -f(x)
C. -f(x) = f(-x)
D. f(x) = f(x)^-1

Answers

[tex]f(x) = -2x^5 +x^3 -7x \\\\-f(x) =-(-2x^5 +x^3 -7x) = 2x^5 -x^3 +7x = x(2x^4 - x^2 +7)\\\\f(-x) = -2(-x)^5 + (-x)^3 -7(-x) = 2x^5 -x^3 +7x = x(2x^4 -x^2 +7) \\\\\\\text{Hence,} ~ -f(x)=f(-x)[/tex]

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