4. If a = 1+ 1/b where b>1, find the value of a ?

Answer:

168.43524

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=7·6+7·6+7·6+1

2·﹣74+2·(7·7)2+2·(7·7)2﹣74+2·(7·7)2﹣74≈168.43524

Answer:

The length of the entire race is 9,5km

Step-by-step explanation:

Required

Determine the length of the race.

To aid my explanation, I have added an attachment which shows the triangular course.

From the attachment, we have:

A as the starting point and the following measurement;

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]

[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]

[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]

[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]

[tex]\angle A = 77^{\circ}[/tex]

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 92^{\circ[/tex]

[tex]c = 4.4km[/tex]

Apply sine rule

[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Split to solve for a and b

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Make a the subject

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]a = 4.403 * sin(77^{\circ})[/tex]

[tex]a = 4.403 * 0.9744[/tex]

[tex]a = 4.3km[/tex]

Make b the subject

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

[tex]b = 4.403 * sin(11^{\circ})[/tex]

[tex]b = 4.403 * 0.1908[/tex]

[tex]b = 0.8km[/tex]

The length of the race is:

[tex]Length = a + b + c[/tex]

[tex]Length = 4.3km + 0.8km + 4.4km[/tex]

[tex]Length = 9.5km[/tex]

Answer:

34%

Step-by-step explanation:

35 - 23 = 12, so the guess is off by 12/35.

To find the percentage, divide 12 by 35, which is approximately 34%.

Answer:

14 miles

Step-by-step explanation:

3 + 4 + 3 + 4 = 14

Answer:

Move the dot at the axis one to the left and one down move the other dot to (7,0)

Step-by-step explanation:

Find the dot at the origin (0,0)

Move it to (-1,-1) which is one unit to the left and one unit down.

Select other dot and place it at (7,0)

Click submit

Answer:

96

Step-by-step explanation:

Total area is 12*8=96 square feet

Each tile is 1 square foot

The required tiles are therefore 96/1=96

Answer:

Step-by-step explanation:

−36w+60

=12(−3w+5)

12(−3w+5)

Answer:

Your answers are correct; decreases by 31.50

Step-by-step explanation:

Answer:

4.95%

Step-by-step explanation:

3,267 ÷ 5.5 = $594 interest per year

$594 ÷ $12,000 = 0.0495 aka 4.95%

Answer:

No the statement isnt reasonable

Step-by-step explanation:

Answer:

I think m is a variable

Step-by-step explanation:

because a variable is a letter representing a unknown amount

Step-by-step explanation:

hope this will help you.

Answer:

(-1,1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

(-5+3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(3+-1)/2 = 2/2 = 1

(-1,1)

make ,me as brainlist

Answer: D

Step-by-step explanation: correct on edg 2021

1. n = 37

isolate n by dividing both sides by 5

2. y = 83

isolate y by dividing both sides by 3

3. w = -118

isolate w by dividing both sides by -6

Answer true

Step-by-step explanation:

Answer:

y-2=3(x-2)

Step-by-step explanation:

point slope form:

y-y₁=m(x-x₁)

y-2=3(x-2)

Answer: A. splitting water into hydrogen and oxygen

Step-by-step explanation:

Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.

Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.

A, splitting water into hydrogen

Answer:

6.16 is the answer

Step-by-step explanation:

3 + (.4^2 + 3)

3 + 3.16

6.16

Answer:

21ft

Step-by-step explanation:

sin(45°)=height/30

height=30sin(45°)

h=30×√2/2=15√2≈21.213(21ft to the nearest whole)

The height should be 21 ft.

Given that,

Based on the above information, the calculation is as follows:

[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]

≈21.213

= 21 ft

Learn more: brainly.com/question/17429689

Step-by-step explanation:

(x+4)-x=-4+3

X+4-x = -1

x-x = - 1-4

-x = - 5

Answer:

Step-by-step explanation:

80x/100 = 40

80x = 4000

x= 50 problems

Answer:

50 problems

Step-by-step explanation:

40÷2 =20 = 40% 20÷2 =10 = 20%

if 10 =20% then 10 × 5 = 50 or 80%

(overthinking)

Answer:

C=47.1

Step-by-step explanation:

take the diameter(15) and multiply it by pi(3.14).

15 x 3.14 = 47.1

Answer:

123

Step-by-step explanation:

72+51=123

123 - 72 = 51

Answer:

72+51=123

123 - 72 = 51

Step-by-step explanation:

Answer:

HI

Step-by-step explanation:

U got this (:

Answer:

1/4

Step-by-step explanation:

rise=y        it takes him 4 minutes to run 1 km   so rise over run would be  1//4

run=x

and him running 1 minute is half a meter

or do you need slope fomula

this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest

Answer:

2-4i

Step-by-step explanation:

(5-5i)-(3-i)=5-3-5i-(-i)=2-5i+i=2-4i

Answer:

the answer is D.2-i

Step-by-step explanation:

5-5i-3+i

4-2i

2-i

Answer:

no

yes

no

Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.

Hope it helped!!!

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.