What is the product of d – 9 and 2d2 + 11d – 4?

Answer:

The ramp must be placed 13.08 feet from the base of the house.

The angle the ramp will make with the ground is 20.92°.

Step-by-step explanation:

An illustrative diagram for the scenario is shown below.

In the diagram, d represents the distance of the door from the ground, r represents the length of the ramp and x represent the distance of the ramp from the base of the house.

To determine how far away from the base of the house the ramp must be placed, that is to determine x in the diagram.

The diagram is a right angle triangle and x can be determine using the Pythagorean theorem which states " the square of the hypotenuse equals sum of the squares of the other two sides"

In the diagram, the hypotenuse is r

∴ r² = d² + x²

r = 14 ft

d = 5 ft

∴ 14² = 5² + x²

196 = 25 + x²

Then, x² = 196 - 25

x² = 171

x = √171

x = 13.08

Hence, the ramp must be placed 13.08 feet from the base of the house.

Now, to determine what angle the ramp will make with the ground, that is θ in the diagram.

From the formula

Sinθ = Opposite / Hypotenuse

In the diagram, opposite = d = 5ft

and Hypotenuse = r = 14ft

∴ Sinθ = 5ft / 14ft

Sinθ = 0.3571

∴ θ = Sin⁻¹(0.3571)

θ = 20.92°

Hence, the angle the ramp will make with the ground is 20.92°.

9514 1404 393

Answer:

  B.  4

Step-by-step explanation:

Equating exponents, we have ...

  2x +7 = 15

  2x = 8 . . . . . subtract 7

  x = 4 . . . . . . divide by 2

The equation is true when the value of x is 4.

hope this helps enjoy.

Answer:

how should I know?

Step-by-step explanation:

Answer:

a.)

x= -2 , -1, 0, 1, 2, 3

y=8 , 7, 6, 5, 4, 3

and for b just plot the point and then connect them. im not sure how i can show you

Step-by-step explanation:

Answer:

Step-by-step explanation:

Greater, provided the divisor is positive.

It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.

If the divisor is negative and the dividend is positive, then the quotient is negative (and hence less than the dividend).

Answer:

a= 38.85

Step-by-step explanation:

Answer:

[tex]\boxed {a = 38.85}[/tex]

Step-by-step explanation:

Solve for the value of [tex]a[/tex]:

[tex]\frac{a}{3.5} - 4.8 = 6.3[/tex]

-Add both sides by [tex]4.8[/tex]:

[tex]\frac{a}{3.5} - 4.8 + 4.8 = 6.3 + 4.8[/tex]

[tex]\frac{a}{3.5} = 11.1[/tex]

-Multiply both sides by [tex]3.5[/tex]:

[tex]a = 11.1 \times 3.5[/tex]

[tex]\boxed {a = 38.85}[/tex]

Therefore, the value of [tex]a[/tex] is [tex]38.85[/tex].

Answer:

lol im stuck too

Step-by-step explanation:

Answer:

$24.96

Step-by-step explanation:

Total number of gallons irede had in his tank = 6.4gallons

Price per gallon is $3.90

To get the cost of 6.4gallons;

If 1 gallon = $3.90

6.4gallons = $x

Cross multiply

1 * x = 3.90 * 6.4

x = 24.96

Hence Irene spent $24.96 on gas

Step-by-step explanation:

the y-intercept is 1 because it's on the y(axis). the line from 1 goes down 1 over three so the slope is 1/3.

your equation would be y=1/3x+1

Answer:

90gr strawberry jelly

6 sponge fingers

315ml custard

135gr tinned fruit

Step-by-step explanation:

120/4 = 30 * 3 = 90

8/4 = 2 * 3 = 6

420/4 = 105 * 3 = 315

180/4 = 45 * 3 = 135

Answer: 2 3/5ths are left or 13/5

Step-by-step explanation: 1 2/5 + 2 3/5 = 4 total walls

Answer:

160

Step-by-step explanation:

Just divide 1920 into 12

Answer:I = ?, P = $500, r = 6%, t = 3 years

Step-by-step explanation:

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]

Answer:

rectangular

Step-by-step explanation:

Answer:

The square of a number decreased by 8 times the number equals 9. Determine the two possible values of the number. X2-8x=9. +1-9 ... 9. Basic Area of Rectangles. 16 The length of a rectangular room is 5 less than ... 17 The total area of Jon's backyard is 144 square feet. ... the length of a side of the original square garden.

Step-by-step explanation:

i hope this helps!

Answer:

x= 11/3

Step-by-step explanation:

Answer:

I believe it’s:

Y= 6x

Step-by-step explanation:

Answer:

Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2

Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1

Step-by-step explanation:

We will solve the equations one by one

So,

[tex]14 + 3n = 8n - 3(n-3)[/tex]

Applying Distributive property

[tex]14 + 3n = 8n - 3n+9\\14+3n = 5n+9[/tex]

Subtraction property of equality (Subtracting 14 from both sides)

[tex]14+3n-14 = 5n+9-14\\3n = 5n-5[/tex]

Subtraction property of equality (Subtracting 5n from both sides)

[tex]3n-5n = 5n-5-5n\\-2n = -5[/tex]

Division property of equality (Dividing both sides by -2)

[tex]\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}[/tex]

Second Equation:

[tex]22x + 11 = 4x - 7[/tex]

Subtraction property of equality (Subtracting 11 from both sides)

[tex]22x + 11-11 = 4x - 7-11\\22x = 4x-18[/tex]

Subtraction property of equality (Subtracting 4x from both sides)

[tex]22x-4x = 4x-18-4x\\18x = -18[/tex]

Division property of equality (Dividing both sides by 18)

[tex]\frac{18x}{18} = \frac{-18}{18}\\x = -1[/tex]

Hence

Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2

Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1

Answer:

B

Supplementary means they add to make 180 deg, so solve (4x-8)+(2x+2)=180

Answer:

angle a + angle b=180

4x-8+(2x+2)=180

6x-6=180

6x=180+6

x=186/6

{x=31°}

Answer:

She paid $8,25 per pound

Step-by-step explanation:

Given

[tex]Weight = 1.6\ lb[/tex]

[tex]Total= \$13.20[/tex]

Required

Determine the amount paid per pound

To do this, we simply divide the amount by the weight of Almonds.

[tex]Amount = \frac{Total}{Weight}[/tex]

[tex]Amount = \frac{\$13.20}{1.6\ lb}[/tex]

[tex]Amount = {\$8.25/\ lb[/tex]

Hence, she paid $8,25 per pound

Answer:

[tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.

Step-by-step explanation:

Let [tex]a[/tex] the number of avocados that a particular tree produces at a year. [tex]a(y)[/tex] is the number of avocados that a particular tree produces at y-th year. Hence, [tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.

Answer:

b = 2.666.......

Step-by-step explanation:

[tex]-\frac{3}{4} b = 2[/tex]

------    -----

[tex]-\frac{3}{4}[/tex]      [tex]-\frac{3}{4}[/tex]

b = 2.666.....

Answer: 4 and a half

Step-by-step explanation:

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are congruent.

Answer: It depends on how many friends Eric had, and how many bottles they wanted. I would be able to answer more if your were a little more specific with the details

Step-by-step explanation:

Answer:

C is the answer.

C has a common difference of "2"

Step-by-step explanation:

You could say that the word "difference" also means Subtraction, so in a simpler way of saying "The common difference of 2" you could say, "Which one of the following is subtracting by 2?"

PLEASE MARK BRAINLIEST

Answer:

12x + 4z

Step-by-step explanation:

Given: 2/3 (18x + 6z)

Multiply the fraction 2/3 into each term

([tex]\frac{2}{3}[/tex])*18x + ([tex]\frac{2}{3}[/tex])*6z

[tex]\frac{36}{3}[/tex]x + [tex]\frac{12}{3}[/tex]z

12x + 4z

Answer: 54%

Step-by-step explanation:

The relative frequency of landing on heads is 0.54 or 54%.

Given that Jamie tossed a coin 50 times.
Head showed for 27 times.

Tails showed for 23 times.

We need to find the relative frequency of landing on heads,

The relative frequency of an event is calculated by dividing the number of times the event occurred by the total number of trials or occurrences.

In this case, Jamie tossed a coin 50 times, and it landed on heads 27 times.

To find the relative frequency of landing on heads, we divide the number of times the coin landed on heads (27) by the total number of tosses (50):

Relative Frequency of landing on heads = Number of heads / Total number of tosses

Relative Frequency of landing on heads = 27 / 50

Simplifying this fraction, we get:

Relative Frequency of landing on heads = 0.54

This means that, based on the given data, the coin landed on heads approximately 54% of the time in the 50 tosses performed by Jamie.

Therefore, the relative frequency of landing on heads is 0.54 or 54%.

Learn more about Relative Frequency click;

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