14.6x 21. Show step by step

Answer:

[tex]4^2=5^2+7^2-2(5)(7) cos A\\\\[/tex]

[tex]A=34.0^o[/tex]

-----------------

[tex]\frac{4}{Sin34^o} =\frac{5}{SinB} \\\\[/tex]

[tex]B=44.4^o[/tex]

--------------

[tex]7^2=4^2+5^2-2(4)(5)CosC[/tex]

[tex]C= 101.5^o[/tex]

[tex]---------[/tex]

hope it helps...

have a great day!!

All the missing elements of the triangle by the Cosine rule are A = 40°, B = 45°, and C = 102°.

Given that,

Three sides on a triangle are,

a = 4

b = 5

c = 7

Used the formula of the Cosine rule which states that,

a² = b² + c² - 2bc cos A

b² = a² + c² - 2ac cos B

c² = a² + b² - 2ab cos C

Where, a, b, and c are three sides and A, B, and C are angles of a triangle.

Now, apply the Cosine rule to find the all angles of a given triangle,

a² = b² + c² - 2bc cos A

Substitute a = 4, b = 5 and c = 7,

4² = 5² + 7² - 2 × 5 × 7 cos A

16 = 25 + 49 - 70 cos A

70 cos A = 74 - 16

70 cos A = 58

Divide both sides by 58,

cos A = 58/70

cos A = 0.83

A = cos ⁻¹ (0.83)

A = 33.9°

Round to the whole number,

A = 40°

b² = a² + c² - 2ac cos B

Substitute a = 4, b = 5 and c = 7,

5² = 4² + 7² - 2 × 4 × 7 cos B

25 = 16 + 49 - 56 cos B

25 = 65 - 56 cos B

56 cos B = 65 - 25

56 cos B = 40

cos B = 40/56

cos B = 0.71

B = cos ⁻¹ (0.71)

B = 44.7°

Round to the whole number,

B = 45°

c² = a² + b² - 2ab cos C

Substitute a = 4, b = 5 and c = 7,

7² = 4² + 5² - 2 × 4 × 5 cos C

49 = 16 + 25 - 40 cos C

49 = 41 - 40 cos C

40 cos C = 41 - 49

40 cos C = - 8

cos C = - 8/40

cos C = - 1/5

cos C = - 0.2

C = cos ⁻¹ (0.2)

C = 101.5°

Round to the whole number,

C = 102°

To learn more about the triangle visit;

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Answer:

c

Step-by-step explanation:

Answer: -4

Step-by-step explanation:

f(x) = -x+2

-6+2

=-4

Answer:

228.00 m2

Step-by-step explanation:

Just multiply 12.5 x 18.24

Answer:

$432.92

Step-by-step explanation:

399. x 8.5% = $33.92

399. + 33.92 = $432.92

Answer:

$432.92

Step-by-step explanation:

The answer is 8 and 1/21 in fixed fraction.

and decimal form it would be 8.047619

Answer:

66.3

Step-by-step explanation:

The tenths place is the first number to the right of the decimal

In this case, the 2

In order to round to this place, look at the number one place to its right. If the number is 4 or below, keep the same number 2. If the number is 5 or above, round the 2 to the next number, 3.

8 is above 5 so for this number, we will round the 2 to a 3

Answer:

bxbdbdbdbhd

Step-by-step explanation:

$2200jfjfjffjfodod/month

Answer:

C. Tan 40 = 60/x

Step-by-step explanation:

Reference angle = 40°

Opposite side to reference angle = 60

Adjacent side = x

Apply trigonometric function TOA,

Tan 40 = Opp/Adj

Tan 40 = 60/x

Answer:

75 times

Step-by-step explanation:

If they rolled each number 15 times, they would roll 5 or lower 75 times.

Answer:

Its i think 549

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

Let's solve your equation step-by-step.

p+9=2p−3

Step 1: Subtract 2p from both sides.

p+9−2p=2p−3−2p

−p+9=−3

Step 2: Subtract 9 from both sides.

−p+9−9=−3−9

−p=−12

Step 3: Divide both sides by -1.

−p

−1

=

−12

−1

p=12

Answer:

p=12

Answer:

one solution

Step-by-step explanation:

2p-p=9+3

p=12

so

just one solution

answer :

b.4

c.0.8464

d.29791

e. 9

f. 0.023104

Answer:

(I will do 3 of these for you and if you still do not understand I will do the rest)

Step-by-step explanation:

Keep in mind that when they put the exponent you will have to multiply that number that many times. Ex. (3)² = 3 x 3

b. 14/7 x 14/7 = 14/49 = 14/19 = 2/7

c. 0.92 x 0.92 = 0.8464

d. 31 x 31 x 31 = 29791

Hope this helps :)

Hello your answer is down below!!

D. Closed circle on 8, shading to the right.

Short Explanation:

x-3>=5

x>=8

This means that x can be any number larger than 8, with 8 included.

(because it was greater than OR EQUAL TO) and shading on the right (GREATER THAN)

Answer:

D) (4, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point P(1, 3)

Point Q(7, 7)

Step 2: Identify

P(1, 3) → x₁ = 1, y₁ = 3

Q(7, 7) → x₂ = 7, y₂ = 7

Step 3: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

Step-by-step explanation:

There isn't an exact answer for the first one since there are no like terms. But the steps to get 13x + 2= 41.

You'd have to find x.

In order to find x, you'll need to subtract 2 on both sides

13x + 2 = 41

      - 2 = - 2

You'll end up with:

13x = 41

Next step is to divide 13 on both sides.

13x/ 13 = 41/ 13

So, x = 41/ 13

Or simplified to 3.153

Hope this helped !!

Answer:

the selling price of the office equipment is R3040

Step-by-step explanation:

original price of the office equipment, C = R3800

discount for the selling price, d = 20% = 0.2

Discounted amount = 0.2 x R3800

                                 = R760

The selling price of the office equipment is calculated as follows;

The selling price = original price - discounted amount

The selling price = R3800 - R760

                             =  R3040

Therefore, the selling price of the office equipment is R3040

Answer:

Right angle

Step-by-step explanation:

Given

Right angle and Acute angle

Required

Which is greater

An acute angle has its angles less than 90 degrees while a right angle has its angle to be exactly 90 degrees

Take for instance:

[tex]Acute\ Angle = 80[/tex]

[tex]Right\ Angle = 90[/tex]

By comparison: 90 > 80

So, right angle is greater.

Answer:

A. 3x+4y= 7.25

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

1.5558 * 10^4

Step-by-step explanation:

Make sure you write in your units

Answer:

Student 1

Student 2

Answer:

5 < x < 13

Step-by-step explanation:

9+4 > x

4 + x > 9

Answer:

3. 3 and 4

4. √9+√2, 8/3, √5 - 5, -π

Step-by-step explanation:

3. √46/2 is 3.39... which is between 3 and 4

4. √9+√2=4.4..

8/3=2.6...

√5-5= -2.7..

-π= -3.14..

(hope this helps :P)

Answer:

13

Step-by-step explanation:

3y + 6 ÷ 2x = 3(4) + 6 ÷ 2(3) = 12 + (6 ÷ 6) = 12 + 1 = 13