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Answer:

36 km

Step-by-step explanation:

By dividing 45 by 60 you make it into .75 per minute therefore by multiplying by 48 you get your answer which is 36 km

Answer:

36 km

Step-by-step explanation:

We are given a speed in km per hour. Since 1 hour = 60 minutes, we can find the speed in km per minute.

45 kph = 45 km/hour = 45 km/(60 minutes) = 0.75 km/minute

Now that we know the speed in km per minute, we multiply the speed by 48 minutes to find the distance traveled in 48 minutes.

0.75 km/minute * 48 minutes = 36 km

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:

16.8

Step-by-step explanation:

If 4.2 is 25% of a number:

25% x 4 = 100%

4.2 x 4 = 16.8

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

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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:

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 )

[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:

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]

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:

x = -5/7

Step-by-step explanation:

8/(x+3)=1/(x+1)

Using cross products

8*(x+1) = 1*(x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x+3-x

7x +8 =3

Subtract 8 from each side

7x+8-8 = 3-8

7x = -5

Divide by 7

7x/7 = -5/7

x = -5/7

Answer:

y ≤ -1/3x +1

Step-by-step explanation:

We have a solid line so the inequality has an equals sign.

The graph is shaded underneath so y is less than or equal to

y ≤ -1/3x +1

Answer:

Y<-1/3x+1

Step-by-step explanation:

The line passing through the points is highlighted making it equal to and what makes it less than is that it's shaded on the lower side of the line

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:

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:

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:

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:

A

Step-by-step explanation:

V=5^(3)+20*5*5

V=125+500

V=625 in^3

Answer:

it is c

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

5(5) -3

25-3

22

Answer:

the answer is 22.

Step-by-step explanation:

Answer:

its b.

Step-by-step explanation:

The answer to this problem is 120

Answer:

coefficient is x

Step-by-step explanation:

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Answer:

20

Step-by-step explanation:

1 hour=2 kg

10 hrs=10×2=20

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Answer:

fourth picture

Step-by-step explanation:

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:

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:

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:

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]

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Answer:

The equation should be h²=P²+b²

27²=15²+18²

729=225+324

729=549

thus, it is not right angle triangle