solve the equation 2p square + 11p=30

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

1km = 6 minutes

42.195km = ?

42.195 × 6 = 253 minutes 17 seconds = 4 hours 21 minutes 17 seconds.

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

Answer:

Area = 34. 81 yd^2

Perimeter = 86.6 feets

Step-by-step explanation:

Given the following :

Shape of Mrs. Johnson's plot = square

All sides of a square are of equal length

Measure of each side = 5.9 yd

A.) Area of plot

Area of plot = Area of a square

Area of a square(A) = a^2

Where a = side length

A = 5.9^2

A = 34.81 yd^2

B) Perimeter of Basil plot = Perimeter of a square

Converting yard to feet

1 yard = 3feets

Therefore,

5.9 yards = (3 * 5.9) = 17.7 feets

Fence is 2ft from the garden on each side,

Length of fence on each side = (2 + 17.7 + 2) Feets = 21.7 Feets

Perimeter of a square (P) = 4a

Where a = side length

P = 4 × 21.7

P = 86.6 feets

Answer:

86.6 feet

Step-by-step explanation:

Answer:

The third option is correct.

The domain of the function is given by

[tex]Domain = 0 \leq t \leq 40[/tex]

The range of the function is given by

[tex]Range = 0 \leq V(t) \leq 200[/tex]

Step-by-step explanation:

Sara bought a cell phone for $200 and its value has decreased at rate of $5 per month.

V(t) is the value of the phone and t is the number of months.

The domain of the function is the possible values of the number of months t.

The domain of the function is given by

[tex]Domain = 0 \leq t \leq 40[/tex]

The range of the function is the values of V(t) that we get after substituting the possible values of the number of months t.

The range of the function is given by

[tex]Range = 0 \leq V(t) \leq 200[/tex]

When the number of months is t = 0 then the value of the function is maximum V(t) = 200

When the number of months is t = 40 then the value of the function is minimum V(t) = 0

Therefore, the third option is correct.

Answer:

Hey there!

We see that z is equal to 40, because angles in a triangle add to 180 degrees.

We see that x is equal to 70, because an isosceles triangle has two angles that are congruent to each other, and can be represented using the equation 2x+y=180.

We see that y is equal to 110, because x+y needs to equal 180.

Hope this helps :)

Answer:

∠x = 70º, ∠y = 110º, ∠z = 40º

Step-by-step explanation:

to find ∠z: 180 - (71 + 69) = 40º = ∠z

the smaller triangle is an isosceles triangle, therefore ∠x is equal to the angle on its left.

so 180 - ∠z = 2 x ∠x

180 - 40 = 140 / 2 = 70º = ∠x

the angle to the left of ∠x forms 180º with ∠y.

as that angle is 70º, ∠y = 180 - 70 = 110º

Answer:

y = 9x^2 + 12x - 12.

Step-by-step explanation:

y = (3x - 2)(3x + 6)

y = 9x^2 - 6x + 18x - 12

y = 9x^2 + 12x - 12.

Hope this helps!

Answer:

C. 97.5 yd

Step-by-step explanation:

The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.

Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:

c² = a² + b² - 2abcos(C)

Where,

c = distance between Marsha's ball and the hole = ?

a = distance between the tee for the fourth hole and the tee = 300 yd

b = distance between tee and the hole = 255 yd

C = 18°

c² = 300² + 255² - 2(300)(255)cos(18)

c² = 90000 + 65025 - 153000 × 0.951

c² = 155025 - 145503

c² = 9522

c = √9522 ≈ 97.5

c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)

Answer:

4.5cm

Step-by-step explanation:

Using Sine Rule:

a/sinA = b/sinB = c/sinC

step:

7/sin90 = TU/sin40

TU = 7/sin90 X sin40

TU = 4.4995

TU = 4.5cm

MAKE ME AS THE BRAINLIEST

Answer:

[tex]5.\overline{55}[/tex] or  [tex]5\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{5}{r} =\frac{9}{10}[/tex]

We multiply the cross values of 5 and 10

5 × 10 = 50

Now we divide by the remaining number, 9

[tex]50 \div 9 = 5.555555...[/tex]

So, r = [tex]5.\overline{55}[/tex]

As a fraction, this is [tex]5\frac{5}{9}[/tex]

Hope this helped!

Answer:

5 5/9 = r

Step-by-step explanation:

5/r = 9/10​

Using cross products

5 * 10 = 9 * r

50 = 9r

Divide by 9

50/9 = r

5 5/9 = r

Incomplete question. However, let's assume this are feasible regions to consider:

Points:

- (0, 100)

- (0, 125)

- (0, 325)

- (1, 200)

Answer:

Maximum value occurs at 325 at the point (0, 325)

Step-by-step explanation:

Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.

- For point (0, 100): P= 2(0) + 1.5 (100) =150

- For point (0, 125): P= 2(0) + 1.5 (125) =187.5

For point (0, 325): P= 2(0) + 1.5 (325) = 487.5

For point (1, 200): P= 2(1) + 1.5 (200) = 302

Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.

Answer:

Length of arc = 5 cm (Approx)

Step-by-step explanation:

Given:

Radius of circle = 20 cm

Angle = 1/4 radian

Find:

Length of arc

Computation:

Angle in degree = 1/4 radian × 180°π

Angle in degree = 1/4 × 180°  / 22/7

Angle in degree = 14.31° Approx

Length of arc = (Ф / 360)2πr

Length of arc = (14.31 /360)2(22/7)(20)

Length of arc = 4.997 cm

Length of arc = 5 cm (Approx)

Answer:

1. Cash flow statements; the investing section

Step-by-step explanation:

The cash flow statements is a useful document that shows where the company receives funds and uses it. Thus, it shows both incoming and outgoing cash flow.

The investment section of the cash flow statement is where all the amount of cash paid for acquisitions of property and equipment is imputed. Usually the transactions are written as capital expenditure.

Answer:

G

Step-by-step explanation:

We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.

The side of the missing length is:

a^+b^=c^

2^+4^=c^

4+16=c^

20=c^

[tex] \sqrt{20} = c ^{2} \\ 4 \sqrt{5} = c[/tex]

Answer:

(x+2.4)^2+(y+4.8)^2=2025

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Step-by-step explanation:

Answer:

64.08

Step-by-step explanation:

3^16.90+1*20.50-7.12

Answer:

C

Step-by-step explanation:

4,800 times 7% is 336, and 1200 times 14% is 168, and 168 is half as much as 336, so the correct answer is c

Answer:

C

Step-by-step explanation:

Multiply .7 to 6000 and solve

Answer:

The center is (2,8)

Step-by-step explanation:

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-2)^2+(y-8)^2=33

The center is (2,8) and the radius is sqrt(33)

Answer:

( x+2)^2 + ( y+2) ^2 = 9

Step-by-step explanation:

The center is at (-2,-2)

The radius is 3  which is the number of units from the center to the circles edge

The equation of a circle can be written as

( x-h) ^2 + (y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x--2) ^2 + (y--2) ^2 = 3^2

( x+2)^2 + ( y+2) ^2 = 9

Answer:

If f=5 pounds of pressure, l=5.4 feet long

Step-by-step explanation:

Force needed to break a board varies inversely with the length of the board

Let

Force to break the board=f

Length of the board=l

f=k/l

Where k is a constant

If f=9 pounds of pressure and l=3 feet long

f=k/l

9=k/3

Cross product

9*3=k

27=k

If k=27, f=5 pounds of pressure. Find l?

f=k/l

5=27/l

Cross product

5l=27

l=27/5

=5.4

l=5.4 feet long

Using proportions, it is found that the board that requires 5 pounds of pressure to break is 1.67 inches long.

The rule of three is:

9 pounds - 3 feet

5 pounds - x feet

Applying cross multiplication:

[tex]9x = 3(5)[/tex]

[tex]x = \frac{15}{9}[/tex]

[tex]x = 1.67[/tex]

The board that requires 5 pounds of pressure to break is 1.67 inches long.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

8÷7=z and z is the answer you got when you divided,that's how I understand the question

Answer:

149=19/9 (10) +b

130=19/9(1)+b

Step-by-step explanation:

for Loren to find a line passes through two points:(1,130), (10.149)

1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9

m=19/9

to find b in the equation y=mx+b for point (1,130)

y=130, x=1, m=19/9

130=19/9(1)+b

for point (10,149)

149=19/9 (10) +b

you have two options

The solution is, the equations of line passes through two points:(1,130), (10.149) is:

149=19/9 (10) +b

130=19/9(1)+b

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

for Loren to find a line passes through two points:(1,130), (10.149)

1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9

m=19/9

to find b in the equation y=mx+b for point (1,130)

y=130, x=1, m=19/9

130=19/9(1)+b

for point (10,149)

149=19/9 (10) +b

you have two options

Hence, The solution is, the equations of line passes through two points:(1,130), (10.149) is:

149=19/9 (10) +b

130=19/9(1)+b

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

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Answer:

b. x² + 8x + 12 =

1. use the factoring X (see attachment)

2. 6 x 2 = 12; 6 + 2 = 12

3. (x + 6)(x + 2) = 0

4. x = -6, -2

c. x² + 13x + 12 =

1. 12 x 1 = 12; 12 + 1 = 13

2. (x + 12)(x + 1) = 0

3. x = -12, -1

c. x² + x - 12 =

1. 4 · (-3) = -12; 4 - 3 = 1

2. (x +4)(x - 3) = 0

3. x = -4, 3

f. x² + 15x + 36 =

1. 12 x 3 = 36; 12 + 3 = 15

2. (x + 12)(x + 3) = 0

3. x = -12, -3

hope this helps :)

Answer:

b) - (x + 2)(x + 6)

c) - (x + 12)(x + 1)

c) - (x - 3)(x + 4)

f) - (x + 12)(x + 3)

Step-by-step explanation:

Well to factor the given info we need to find the factors.

b)

[tex]x^2 + 8x + 12[/tex]

So 6*2 = 12

6x + 2x = 8x

x*x = x^2

Factored - (x + 2)(x + 6)

c)

[tex]x^2 + 13x + 12[/tex]

Well x*x = x^2

and 12*1 = 12

12x + x = 13x

Factored - (x + 12)(x + 1)

The second c)

[tex]x^2 + x - 12[/tex]

Well x*x = x^2

-3*4 = -12

-3x + 4x = x

Factored - (x - 3)(x + 4)

f)

[tex]x^2 + 15x + 36[/tex]

So x*x = x^2

12*3 = 36

12x + 3x = 15x

Factored - (x + 12)(x + 3)

Thus,

everything factored is (x + 2)(x + 6) , (x + 12)(x + 1) , (x - 3)(x + 4) ,

(x + 12)(x + 3).

Hope this helps :)

Answer:

5√11 ÷ 11 (The very last choice)

Step-by-step explanation:

I first found out what 5/√11 was and got 1.507556723 and checked all the other options and found that 5√11 ÷ 11 was the only option that had the exact same quotient as 5/√11.

Answer:

31x² - 2

Step-by-step explanation:

5(2x²-1)+3(7x²+1) = 5*2x² - 5*1 + 3*7x² + 3 = 10x² - 5 + 21x² + 3 = 31x² - 2

Answer:

Distance between balloon and a is = 383.67 m

Step-by-step explanation:

The given situation can be represented as the given diagram as attached in the answer area.

cd = 384 m

cb = 200 m

[tex]\angle adb = 33^\circ[/tex]

To find:

Distance between balloon and a i.e. side ad = ?

Solution:

First of all, let us consider the right angled [tex]\triangle bcd[/tex].

We know the trigonometric identity that:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tan\angle cbd =\dfrac{cd}{cb}\\\Rightarrowtan\angle cbd =\dfrac{384}{200}\\\Rightarrowtan\angle cbd =1.92\\\Rightarrow \angle cbd = tan^{-1}(1.92) = 62.49^\circ[/tex]

Now, using the external angle property for the external [tex]\angle cbd[/tex] for the [tex]\triangle abd[/tex]:

(External angle is equal to the sum of two opposite angles of the triangle.)

[tex]\angle cbd = \angle adb+\angle a[/tex]

[tex]\Rightarow \angle a =62.49-33 =29.49^\circ[/tex]

Now, let us consider the right angled [tex]\triangle acd[/tex].

We have the value of [tex]\angle a[/tex] and perpendicular dc.

We have to find the hypotenuse ad.

Let us use the sine identity:

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\angle a =\dfrac{cd}{ad}\\\Rightarrow sin(29.49^\circ) =\dfrac{384}{ad}\\\Rightarrow ad = \dfrac{384}{0.49}\\\Rightarrow \bold{ad = 783.67\ m}[/tex]

So, the answer is:

Distance between balloon and [tex]\bold{a}[/tex] is = 383.67 m

Answer:

ADB and ADC

Step-by-step explanation:

SAS is side angle side. so, which 2 triangles have same side, then angle, then side. We have to have it in that specific order.

Answer:

ABD and ECD

Step-by-step explanation:

EDC and ADB are vertical angles, so that is the angle we need for the SAS postulate. The markings on each of the corresponding sides is the same, which means we have 2 congruent sides, as well as an angle.

Answer:

B, E

Step-by-step explanation:

J, K, Q are all on the same line: collinear

You can draw only one line through L and P

Answer:

b,e

Step-by-step explanation:

e2020

Answer:

3x (x - 2) (x + 3)

Answer 4

Hope this helps :)

Answer:

∠A = 35°

Step-by-step explanation:

From the question above,

Sum of Angles on a straight line = 180°

180° = ∠BDE + ∠ADE

∠BDE = 105°

∠ADE = 180° - 105°

∠ADE = 75°

To find Angle ∠EBC and ∠DEB are alternate angles, this means that they are equal to each other

Hence, ∠EBC = ∠DEB

30° = 30°

Sum of Angles on a straight line = 180°

180° = ∠DEB + ∠BEC + ∠DEA

180° = 30° + 80° + ∠DEA

∠DEA = 180° -(30+ 80)°

∠DEA = 180° - 110°

∠DEA = 70°

It is important to note that the sum of Angles in a triangle = 180°

180° = ∠ADE + ∠DEA + ∠A

∠ADE = 75°

∠DEA = 70°

180° = 75° + 70° + ∠A

∠A = 180° - (75° + 70°)

∠A = 180° - 145°

∠A = 35°

Answer:

  $198,859.03

Step-by-step explanation:

The amortization formula is good for this. Fill in the given numbers and solve for the unknown.

 A = P(r/n)/(1 -(1 +r/n)^(-nt))

where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

  1340.00 = P(0.0525/12)/(1 -(1 +0.0525/12)^(-12·20)) ≈ 0.00673844·P

  P ≈ 1340/0.00673844 ≈ $198,859.03

The family can afford a loan for $198,859.