80 POINTS!!!!

The table shows how much Eric earns for pruning trees. Write an equation that relates t, the number of trees Eric prunes to p, the amount he earns. Solve your equation to find how much Eric earns if he prunes 7 trees.

Answer:

Yes, they are similar. The scale factor is 5/3

Step-by-step explanation:

The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK

The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR

If the two quadrilaterals are similar, the following proportion must be satisfied:

JM = k*QP

ML = k*PS

KJ = k*RQ

LK  = k*SR

where k is the scale factor. Solving for k and replacing with lengths:

k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3

From the figure, we can also see that:

∠M ≅ ∠P

∠L ≅ ∠S

∠R ≅ ∠K

∠Q ≅ ∠J

Therefore, the two quadrilaterals are similar.

Answer:

The horizontal distance the ball travels before returning to the ground is 19.5 m

Step-by-step explanation:

Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]

Where u is the initial velocity

g is gravity

We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.

So, u = 15 m/s

[tex]\theta = 30^{\circ}[/tex]

g = 10

So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]

Hence The horizontal distance the ball travels before returning to the ground is 19.5 m

Answer:

f(3) = 30

Step-by-step explanation:

f(3) = 3^(3) + 3

f(3) = 27 + 3

f(3) = 30

Answer:

They are similar

Step-by-step explanation:

Answer:

2x+16

Step-by-step explanation:

2W+2P

Lets substitute the W and the P for their respective values.

2(3x+1) + 2(-2x+2)

Simplify

6x + 2 + -4x + 4

Simplify again

2x + 6

And there you have it!

Answer:

2x + 16

Step-by-step explanation:

2W + 2P

= 2(3x + 1) + 2(- 2x + 7) ← distribute both parenthesis

= 6x + 2 - 4x + 14 ← collect like terms

= 2x + 16

Answer:

13.39 Euros

Step-by-step explanation:

The ratio between Euros and Kroners is 3:22.41. This means for every 3 Euros we get 22.41 Kroners. This also means for every Euro we get 22.41/3 = 7.47 Kroners. To calculate the number of Euros that can be exchanged for 100 Kroners, we simply divide 100 Kroners by our conversion factor. 100/7.47 = 13.3868809

Answer:

the triangle is an obtuse

Step-by-step explanation:

draw it out

Answer: Acute Triangle

Step-by-step explanation:

54 is the hypotenuse because it is the longest side.

Square all of the sides.

So

54^2=2916

51^2=2601

22^2=484

Now you have 2916=2601+484

Add the two on the right and they will be greater than 2916.

Because of that, you will have an acute triangle because 22^2+51^2>54^2

Answer:

16 is the width 32 is the length

Step-by-step explanation:

L = 2x

96 = 2L + 2x           Substitute the first equation into the second equation for L

96 = 2(2x) + 2x       Multiply

96 = 4x + 2x           Add

96 = 6x                   Divide both sides by 6

16 = x

Plug this into the first equation to solve for the length

L = 2(16)                  Multiply

L = 32

Answer:

14°

Step-by-step explanation:

Because 76° and x are complementary (meaning they add up to 90°), 76 + x = 90 which means x = 14°.

Answer:

fourth option

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y), thus

L(2, - 1 ) → L'(2, 1 )

M(3, - 5 ) → M'(3, 5 )

N(6, - 4 ) → N'(6, 4 )

Answer:

1 time = 2/3 cups

3 1/2 times = 2/3 × 3 1/2

= 7/3 cups of milk

Answer:

2 1/3 cups

Step-by-step explanation:

2/3 x 3.5 = 2.33333

Answer:

9.696

Step-by-step explanation:

Answer:

x = 9.7 feet

Step-by-step explanation:

Use tan to find the value of x

tan 22 = [tex]\frac{x}{24}[/tex]       Simplify

0.404 = [tex]\frac{x}{24}[/tex]       Multiply both sides by 24

x = 9.696        Round this answer to the nearest tenth of a foot

x = 9.7 feet

Answer:

3x+2

Step-by-step explanation:

I believe you asked for the equation

Answer:

500

Step-by-step explanation:

400 + 100 = 500

Answer:

500

Step-by-step explanation:

Ronald's number + 100 = Jasmine's number

400 + 100 = 500

Answer:

The equation should be h²=P²+b²

27²=15²+18²

729=225+324

729=549

thus, it is not right angle triangle

Answer:

20,480

Step-by-step explanation:

5x2^12

Answer:

20480

Step-by-step explanation:

got it right on edge

[tex]answer \\ = 2x - 2 \\ solution \\ given \: data = x + 1 ,\: 3x - 2 ,\: 2x - 5 \\ n(total \: number \: of \: items) = 3 \\ we \: have \: to \: find \: mean \: of \: the \: given \\ data \\ mean = \frac{x + 1 + 3x - 2 + 2x - 5}{3} \\ \: \: \: \: \: \: \: = \frac{x + 2x + 3x + 1 - 2 - 5}{3} \\ \: \: \: \: \: \: = \frac{6x - 1 - 5}{3} \\ \: \: \: \: = \frac{6x - 6}{3} \\ \: \: \: \: = 2x - 2 \\ hope \: it \: helps[/tex]

Answer:

supplementary

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary.

Answer:

Angles 1 and 2 are supplementary angles.

Step-by-step explanation:

This means that angles 1 and 2 add up to 180 degrees.

Answer:

189582.23m^3

Step-by-step explanation:

formula for the volume of a hemisphere=2/3 x pi x r^3

The volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter is 181,037  cubic meters.

We can say that a hemisphere is exactly half of a sphere. The volume of the hemisphere is obtained by Archimedes and is half the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.

The formula for the volume of a hemisphere is :

[tex]V=2/3 * \pi * r^3\\V= 2/3 (3.14) (44.9)^3\\V= 181,037 m^3[/tex]

See more about volume at brainly.com/question/1578538

#SPJ2

Answer:

I think that the answer is C D E

Answer:

Correct answer is:

D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation:

We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].

1. Side KH = Side NH

2. [tex]\angle L \cong \angle M[/tex]

From the given figure, we can derive that:

[tex]\angle KHL \cong \angle NHM[/tex]

Property used: Vertically opposite angels made by two lines crossing each other are equal.

So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].

So, we can say that the two triangles are congruent.

[tex]\triangle HLK \cong \triangle HMN[/tex]

The side is not between the two equal angles, so it is AAS congruence.

And Congruent triangles have their corresponding angles equal.

Therefore, option D) is true :

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.

Answer:

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation: I took the test

Answer:

4/81

Step-by-step explanation:

1/4, 1/6, 1/9, 2/27 series

So the common ratio is 2/3

Answer:

-200, -300, -450, -675

The geometric sequence which shows a pattern in which each term is 1.5 times the previous term is A = -200 , -300 , -450 , -675 ...

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A = -200 , -300 , -450 , -675 ...

The common ratio of the GP = second term / first term

On simplifying , we get

r = -300 / -200

r = 3/2

r = 1.5

Therefore , each term is 1.5 times the previous term

Hence , the GP is solved

To learn more about geometric progression click :

https://brainly.com/question/1522572

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Answer:

D

Step-by-step explanation:

The marks through each of the sides of the triangle denote that all of the side lengths of the triangle are equal, or that it is an equilateral triangle. Therefore:

7x+9=x+27

6x+9=27

6x=18

x=3

Therefore, the correct answer is choice D. Hope this helps!

Answer:

x=3

Step-by-step explanation:

The sides are the same length

x+27 = 7x+9

Subtract x from each side

x+27-x = 7x-x+9

27 = 6x+9

Subtract 9 from each side

27-9 = 6x

18 = 6x

Divide by 6

18/6 = 6x/6

3 =x

Answer:

20

Step-by-step explanation:

1 hour=2 kg

10 hrs=10×2=20

Mark as brainliest please!

Answer:

w=3

Step-by-step explanation:

[tex]4w(w-3)+(-5)(w-3)=(w-3)(4w+5)\\4w^{2} -12w-5w+15=4wx^{2} +5w-12w-15\\4wx^{2} -17w+15=4wx^{2} -7w-15\\4wx^2-10w+15=4wx^{2} -15\\4wx^{2} -10w=4wx^{2} -30\\-10w=-30\\w=3[/tex]

Third option is the correct answer.

Answer:

[tex] \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \huge \bigg( {5}^{ \frac{3}{4} } \bigg) ^{ \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{3}{4} \times \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{6}{12} } \\ \\ \huge = {5}^{ \frac{1}{2} } \\ \\ \huge = \sqrt{5} [/tex]

Answer: $9.20

Step-by-step explanation:

Divide the full tax price by the sales tax (7% or .07) plus 1 (always add 1 to the tax) thus

$147.66 / 1.07 = $138.00

So $138.00 is the full price without tax.

Now divide $138.00 by the amount of tickets (15) to find a single ticket price before tax!

138.00/15 = $9.20

Remember to always add 1 to the tax percentage above when dividing to get the *pre-tax* price.

Answer:

a). Distance between the gym and store 9.25 m

b). Meghan will walk 5.637 m along the arc AB.

Step-by-step explanation:

a). Theorem of intersecting chords inside the circle,

When two chords intersect each other in a circle multiplication of their segments are equal.

3×7 = 4a

a = [tex]\frac{21}{4}[/tex]

a = 5.25 m

Distance between the gym and store = 4 + 5.25

                                                               = 9.25 m

b). Length of an arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

                           [tex]\widehat{AB}[/tex] = [tex]\frac{64.6}{360}\times 2\pi (5)[/tex]

                                 = [tex]\frac{646\pi }{360}[/tex]

                                 = 5.6374 m

                                 ≈ 5.637 m

Therefore, Meghan will walk 5.637 m along the arc AB.