Help!!!!
Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.​

The resultant vector makes a 6.3-degree angle with the horizontal force, the correct option is A.

The resultant angle between the vectors is given by

[tex]\rm \theta = tan^{-1} \dfrac{B sin\theta}{A +B cos\theta}[/tex]

The two forces have magnitude of 17.3 and 42.5 pounds.

The angle of the resultant vector is

[tex]\rm \rm \theta = tan^{-1} \dfrac{17.3\; sin\; 21.9}{42.5 +17.3 cos\;21.9}[/tex]

[tex]\rm \theta = tan^{-1}[/tex] (6.453/58.55)

[tex]\rm \theta[/tex] = 6.2886 degree = 6.3 degree.

Therefore, the resultant vector makes a 6.3-degree angle with the horizontal force.

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Answer:

6.3 on edge

Step-by-step explanation:

Step-by-step explanation:

3/4 x 11/11 = 44

7/12 x 5/5 = 35/60

18/72 = 6/6 x 3/12

Topic: Fractions

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Answer:

3y +9 = perimeter

Step-by-step explanation:

Answer:

4y+9

Step-by-step explanation:

To find the perimeter , you have to add up all the 4 sides

so y + y+2 + y+4 + y+3 = 4y+ 9

hope it helps

Answer:

256

Step-by-step explanation:

4*4*4*4=256

Hope this helps!!

your awnser is C

Step-by-step explanation:

cause you'll need to multiply 1.05 × 15 then divide by 100

Answer:

The answer is 125%

Step-by-step explanation:

Fraction calculator  

Answer: -2.55

Explanation: First add 10.2, and then the equation becomes -4x = 10.2.

Then, you just divide by -4 from both sides of the equation, and you get x = -2.55. :]

Answer:

21 - 4x

Step-by-step explanation:

Multiply 10 and 2 to get 20.

41 - 4x - 20

Subtract 20 from 41 to get 21.

21 - 4x

Looks like the expression is

(2⁸ • 5⁻⁵ • 19⁰) • (5⁻² / 2³)⁴ • 2²⁸

First, any positive number raised to 0 is 1:

(2⁸ • 5⁻⁵ • 1) • (5⁻² / 2³)⁴ • 2²⁸

(2⁸ • 5⁻⁵) • (5⁻² / 2³)⁴ • 2²⁸

Exponents in a denominator can be rewritten as negative exponents in the numerator:

(2⁸ • 5⁻⁵) • (5⁻² • 2⁻³)⁴ • 2²⁸

Distribute the 4th power across the product 5⁻² • 2⁻³ :

(5⁻² • 2⁻³)⁴ = 5⁻⁸ • 2⁻¹²

so we have

(2⁸ • 5⁻⁵) • (5⁻⁸ • 2⁻¹²) • 2²⁸

Multiplication is associative, so we can ignore the parentheses. Combine factors with equal bases and simplify the exponents:

2⁸ • 5⁻⁵ • 5⁻⁸ • 2⁻¹² • 2²⁸

2⁸⁻¹²⁺²⁸ • 5⁻⁵⁻⁸

2²⁴ • 5⁻¹³

Rewrite the negative exponent as a positive one:

2²⁴ / 5¹³

Answer:

-9

Step-by-step explanation:

4+(-9)-4

4+(-13)

-9

Answer:

-9

4 + -9 - 4

4 + -9 + -4

4 + -13 = -9

Answer:

it is 5

Step-by-step explanation:

Answer:

0.1 > 10^-2

(I'm pretty sure I'm right. sorry if im wrong :(

Answer:

top one is 0.6 bottom one is 0.1

Answer:

slope= 9

y-intercept= 0

Step-by-step explanation:

Because 9 is in the m spot and bis 0

Answer:

x=14   y=10

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation:

Answer:x=27

Step-by-step explanation:

First rearrange the terms: x+35=8

Second subtract 35 from either side:

-x=-27

Third divide both sides of the equation by the same term:

-x/1=-27/1

Fifth simplify:

X=27

Hope this helps!

Answer:

What's the question you have

Step-by-step explanation:

Answer:

what are the questions on it say

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Yes, there is a proportional relationship between the total cost (f) after 8% sales tax is added and the item's price (p).

Here,

In this case, the total cost (f) is calculated by multiplying the item's price (p) by 1.08 (which is 100% + 8% sales tax in decimal form).

Mathematically, this can be represented as:

f = 1.08p

The equation shows that the total cost (f) is directly proportional to the item's price (p) with a proportionality constant of 1.08.

This means that as the item's price (p) increases, the total cost (f) will also increase proportionally by 8% due to the added sales tax.

Similarly, if the item's price (p) decreases, the total cost (f) will also decrease proportionally by 8%.

This relationship holds true for all values of p and f as long as the sales tax rate remains constant at 8%.

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Answer:

Step-by-step explanation:

12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.

12*2= 24 km/h

Answer:

The answer would be B if right mark brainliest

Answer:

I believe it's A

Step-by-step explanation:

Answer:

3 divided by 4 is 0.75

Step-by-step explanation:

Answer:

Answer: 3 divided by 4 is 0.75 .

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Since the Theo family are going 50 per hour so that is 50=t for the Theo family in the promblem it talks about Malcolmś family being 65t how many number are they apart

50

+15

-------

65

15 is your answer

Answer:

THis is not a question

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

The distance of the earth from the star is; 1.416 x 10¹⁵ miles

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We are given that 1 light year ≈ 5.9 x  10¹² miles

so: the Coefficients for the problem are mathematically given a

Coefficients =2.4 x 5.9

Coefficients = 14.16

For Exponents;

Exponents=   10² x 10¹² = 10⁽²⁺¹²⁾

Exponents =10¹⁴

In conclusion, we put them together once again to produce a scientific notation;

14.16 x 10¹⁴

1.416 x 10¹⁵ miles

The distance of the earth from the star is; 1.416 x 10¹⁵ miles

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Answer:

y = 4x - 3

Step-by-step explanation:

I graphed all of them and this was the only equation that had a slope of 4 and passes through point (2,5)

Answer: D

Step-by-step explanation: