In triangle ABC, we have AB = 5, BC = 8, and AC = 7, as shown below:
Calculate:
cos(A), cos(B), cos(C)

Answer:

The height is 5.6 units.

Step-by-step explanation:

The height can be calculated using this formula

[tex]h=\sqrt{a^2-\frac{b^2}{4} }[/tex]

Let [tex]a[/tex] be the base of the triangle along the horizontal.

Let [tex]b[/tex] be the side of the triangle.

In an isosceles triangle has 2 sides that are equal in length.

Numerical Evaluation

In this example we are given

[tex]a=6\\b=3\sqrt{2}[/tex]

Substituting our values into the equation gives us

[tex]h=\sqrt{6^2-\frac{\left(3\sqrt{2} \right) ^2}{4} }[/tex]

Lets solve for [tex]h[/tex].

Evaluate [tex]6^2[/tex].

[tex]h=\sqrt{36-\frac{\left(3\sqrt{2} \right) ^2}{4} }[/tex]

Apply the product rule to [tex]3\sqrt{2}[/tex].

[tex]h=\sqrt{36-\frac{3^2\sqrt{2}^2 }{4} }[/tex]

Evaluate [tex]3^2[/tex].

[tex]h=\sqrt{36-\frac{9\sqrt{2}^2 }{4} }[/tex]

Rewrite [tex]\sqrt{2}^2[/tex] as [tex]2[/tex].

[tex]h=\sqrt{36-\frac{9*2 }{4} }[/tex]

Evaluate [tex]9*2[/tex].

[tex]h=\sqrt{36-\frac{18 }{4} }[/tex]

Factor [tex]2[/tex] out of [tex]18[/tex] and [tex]2[/tex] out of [tex]4[/tex].

[tex]h=\sqrt{36-\frac{2(9) }{2(2)} }[/tex]

Cancel the common factor of [tex]2[/tex].

[tex]h=\sqrt{36-\frac{9 }{2} }[/tex]

To write [tex]36[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex].

[tex]h=\sqrt{36*\frac{2}{2} -\frac{9 }{2} }[/tex]

Combine the numerators over the common denominator.

[tex]h=\sqrt{\frac{36*2-9}{2}[/tex]

Multiply [tex]36[/tex] by [tex]2[/tex] then subtract [tex]9[/tex].

[tex]h=\sqrt{\frac{63}{2} }[/tex]

Evaluate [tex]\sqrt{\frac{63}{2} }[/tex].

[tex]h=5.6125[/tex]

Round to nearest tenth.

[tex]h=5.6[/tex]

Learn more about isosceles triangles here

https://brainly.com/question/16350203

Answer: hope this helps ♡

[tex]\frac{5}{12}[/tex] cups of dog food is recommended for a 25-pound adult dog.

Step-by-step explanation:

Unitary method: diving the number that you want to find out over the already known number. (just try to understand this lol)  :)

10 lb = ⅙ Or 0.1666666 cups

1 lb = ? cups

[tex]\frac{0.16}{10}[/tex] = 0.01666666

1 lb = 0.01666666 cups

25 lb = 0.01666666 × 25 cups

25 lb = 0.416666667 Or [tex]\frac{5}{12}[/tex] cups

(Or:      10lb= ⅙              20lb= ⅙+⅙ = [tex]\frac{2}{6}[/tex]              5lb= ⅙ ÷ 2= [tex]\frac{1}{12}[/tex] (10lb÷2)       25lb = [tex]\frac{1}{12}+\frac{2}{6}[/tex] = [tex]\frac{5}{12}[/tex] ≈ 0.416666667     (25=20+5)

Answer: yes

Step-by-step explanation:

this is propprtional

Answer:

Jessica and Luke rates are inequivalent.

Step-by-step explanation:

Jessica had 4 laps and had 9 minutes.

4 Laps/9 Minutes = 12 laps/27 Minute

12 Laps/27 Minutes ≠  8 Laps/ 27 Minute

So, Jessica and Luke has inequivalent.

Hope this helped you, brainliest if possible, and tell me If I am wrong, I also answered first! :D

Answer:

$375.3

Step-by-step explanation:

This gold coin is worth 375.3. Because 7.5 times $50.04 is 375.3

you're welcome

Answer:

$4.94

Step-by-step explanation:

We can first solve this by turning this sales tax percentage into a decimal

[tex]8.6\% = 0.086\%[/tex]

Now that we got that and your first answer of $57.40, we can multiply the two numbers.

[tex]0.086 \times 57.40 = 4.9364[/tex]

That rounds to 4.94

Answer:

$6.02

Step-by-step explanation:

because 8.6% of 70

Answer: 40 pages per hour.

Step-by-step explanation:

Answer: The algebraic expression for c multiplied by 4, all divided by 7 lots of d is given by:

(4c) / (7d)

Step-by-step explanation:

Answer:

8% as a fraction can be expressed as 8/100 or 4/50.

Explanation:
Percentages are a way of expressing a number as a fraction of 100. The symbol % represents "per hundred" or "out of 100." So, 8% can be thought of as 8 out of 100 or 8/100.

When we convert a percentage to a fraction, the numerator (top part of the fraction) represents the percentage value and the denominator (bottom part of the fraction) is set to 100. This is because 100 represents the whole, and the numerator represents a part of that whole.

In this case, 8% as a fraction is 8/100, which can be simplified to 4/50.

Answer: hope this helps ♡

8% =  [tex]\frac{8}{100}[/tex]  =  [tex]\frac{2}{25}[/tex]

Step-by-step explanation:

% = something out of a hundred (not out of 10)

eg: 25% = 25 out of a hundred

so 8% = (8 out of a hundred)  [tex]\frac{8}{100}[/tex]  =  [tex]\frac{4}{50}[/tex]  =  [tex]\frac{2}{25}[/tex]   (simplified answer)

(100 divided by 2 = 50         50 divided by 2 = 25)

(8 divided by 2 = 4                4 divided by 2 = 2)

Answer:

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

1. 30% · X = 15

2. 30/100 · X = 15

3. Multiply both sides by 100

30·X=15·100

4. Divide both sides by 30

X = 15 · 100/30

5. X = 50

Answer:

(A) should be 16.5 mph

(B) is 0.25

Step-by-step explanation:

B was pretty easy because all you had to do is divide by 2

Answer:

p = 14

Step-by-step explanation:

If at x 1/2 and y 7 this means that for x 1 y would be double 7 or 14.

Answer:

1 hour - how many more hours will the tank be out of gas

Step-by-step explanation:

The path of the boat, the horizontal distance and vertical distance from the dock are in the shape of a right triangle

Distance of boat from dock after 1 hour
d = [tex]\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\;mi\\[/tex]

Speed of boat = 10mph

distance that can be traveled with 4 gallons of fuel

d = 5 mpg x 4 g = 20 miles

The boat has already traveled 10miles in the diagonal direction. Assuming same trajectory, the boat can travel 20 - 10 = 10 miles more

10 miles ==> 1 hour more at 10 mph

So additional time the boat can travel = 1 hour

I hope that helps. Tried to do my best to cut down the words

Answer: Tyler and Elena are on the cross country team.

Tyler's distances and times for a training run are shown on the graph.

Elena's distance and times for a training run are given by the equation.

Step-by-step explanation: Represents distance in miles and

represents time in minutes.

a. Who ran farther in 10 minutes? How much farther? Explain how you know.

b. Calculate each runner's pace in minutes per mile.

c. Who ran faster during the training run? Explain or show your reasoning

To know more about equation:

https://www.numerade.com/questions/tyler-and-elena-are-on-the-cross-country-team-tylers-distances-and-times-for-a-training-run-are-show/

Answer:

15 tickets

Step-by-step explanation:

If the theater club needs $142.50 and each ticket costs $9.50, we need to divide 142.5/9.5 to determine how many tickets must be sold, which gets us 15.

Answer: 4

Step-by-step explanation:

the highest number is 4

Answer:

216y^3

Step-by-step explanation:

a=1/2bh

a=1/2(8x6)

a=1/2(48)

a=24

24x9=216

Answer:

Area of the sector = [tex]24\pi ^{2}[/tex]

The perimeter of the sector of the given circle is 32.75 cm.

The perimeter of a sector is given by the sum of the arc length and the two radii that form the sector. To find the perimeter of this sector, we need to find the length of the arc and the two radii.

The area of the sector is given as 120° at the center. We can use this information to find the length of the arc by using the formula for the area of a sector:

                          Area of sector = (angle/360) x πr²

where r is the radius of the circle and angle is the central angle of the sector in degrees.

In this case, we have:

                          120/360 x π x 8² = 33.51 cm² (rounded to two decimal places)

The length of the arc can be found by using the formula:

                          Arc length = (angle/360) x 2πr

In this case, we have:

                          (120/360) x 2π x 8 = 16.75 cm (rounded to two decimal places)

The two radii that form the sector have lengths of 8 cm each.

Therefore, the perimeter of the sector is the sum of the arc length and the two radii:

                          Perimeter = arc length + 2r

                          = 16.75 + 2(8)

                          = 32.75 cm (rounded to two decimal places)

Therefore, the perimeter of the sector is approximately 32.75 cm.

To learn more about the sector of the circle,

https://brainly.com/question/22972014

Answer:

Don't see the picture

Step-by-step explanation:

So far I'm getting that

(According to the law of cosines):

CAB ≈ 45.793°

ABC ≈ 74.207°

BC ≈ 7.449

The distances between the given points are 6.4 units, 7.2 units, 5 units and 7 units

Distance between two points is the length of the line segment that connects the two points in a plane.

Given that are some points, we need to find the distance between them.

The distance between two points is given by,

C = √(x₂-x₁)²+(y₂-y₁)²

1) (0, 2) and (5, -2)

C = √(5-0)²+(-2-2)²

= √25+16

= √41 = 6.4 units

2) (-4, -3) and (2, 1)

C = √(2+4)²+(1+3)²

= √36+16

= √52 = 7.2 units

3) (0, 0) and (-4, -3)

C = √(-4-0)²+(-3-0)²

= √16+9

= √25 = 5 units

4) (-3, 4) and (2, -3)

C = √(2-3)²+(-3-4)²

= √1+49

= √50 = 7 units

Hence, the distances between the given points are 6.4 units, 7.2 units, 5 units and 7 units

Learn more about distance between points, click;

https://brainly.com/question/17334165

#SPJ1

Answer:

B. two fourths is greater than five twelfths

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: Foremost sum could Be a = $250.09 Principal sum is B = $400. Account B earned you the foremost intrigued the first​ month The equation for straightforward intrigued is communicated as I = PRT/100 Where P = the central or starting sum of cash invested. R = intrigued rate T = time

On account A,

I = $6.94

R = 3.7%

T = 9 months = 9/12 = 0.75 years.

On account B,

I = $13.80

R = 2.3%

T = 18 months = 18/12 = 1.5 years

To decide the account that earned more intrigued within the to begin with month we separate the intrigued by the number of months.

$6.94/9 = $0.7711

$13.80/18 = $0.7667

Account B earned you the foremost intrigued the first​ month since $0.7667 is higher than $0.7711.

hoped this helped :-)

your are going to be great just add and divide

Answer:

Step-by-step explanation:

4(ounces) = 50(calories)

he drinks 8(ounces)

witch is 50 + 50 = 100