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2 years ago

What is the length of the diagonal of a monitor that is 5 inches wide and 12 inches high

Mathematics

2 answers:

DerKrebs [107]2 years ago

5 0

Answer:

so draw out a graph

Step-by-step explanation:

12-

11-

10-

[ [ [ [ [

1 2 3 4 5

zavuch27 [327]2 years ago

5 0

13. If you are using the pythagorean theorem you would a^2 + b^2 = c^2. 5 = 25, 12 = 144. Add them together and you get 169, the square root of 169 is 13.

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Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate

Basile [38]

Answer:

A. The length of the third side is approximately 5 feet.

B. A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

$b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac Cos B

= $6^{2}$ + $3^{2}$ - 2(6 x 3) Cos $60^{o}$

= 36 + 9 - 36 x 0.5

= 45 - 18

$b^{2}$ = 27

b = $\sqrt{27}$

= 5.1962

b = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = $60^{o}$ , then let us apply the Sine rule to determined the measure of A.

$\frac{a}{SinA}$ = $\frac{b}{SinB}$

So that,

$\frac{6}{Sin A}$ = $\frac{5.2}{Sin60^{o} }$

Sin A = $\frac{0.886*6}{5.2}$

Sin A = 0.99923

A = $Sin^{-1}$ 0.99923

= 87.75

A ≅ $88^{o}$

Since the sum of angle in a triangle = $180^{o}$ .

Then,

A + B + C = $180^{o}$

$88^{o}$ + $60^{o}$ + C = $180^{o}$

$148^{o}$ + C = $180^{o}$

C = $180^{o}$ - $148^{o}$

= $32^{o}$

C = $32^{o}$

Thus,

A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

5 0

3 years ago

Please help me answer this question!

dedylja [7]

Just multiply and simplify that is your best bet

6 0

3 years ago

Which expression completes the identity cos u sin v = ?

Lilit [14]

The product of trigonometric functions can be converted into sum ans vice versa. The given function is a product and we can convert it to a sum.One way is to expand the given expression and simplify it to find the result.

The second and easier option is to just remember the formulas of product to sum conversion identities. The 4 formulas for this case are listed below in the image.

Since we have the product of cos and sin, the sum will involve two sine functions connected by addition.

So the correct answer is option A

4 0

2 years ago

Given P(1,3) and Q(3,7) what is the slope of PQ

Aleksandr [31]

Answer:

hi! you have 2 points! this means slope formula! y2-y1/x2-x1

okay all you do now is plugin! (x1 1,y1 3) (x2 3,y2 7) what I did was label your x1 y1 x2 y2! now just follow the formula and that / is division or basically a fraction

7-3/3-1

that equals -5! and that's your slope! memorize the formula it helpss!

8 0

3 years ago

After putting $5,500 as a down payment on a car, you pay $400 per month for 60 months to pay off your car. What was the total yo

Y_Kistochka [10]

Answer:

$29500

Step-by-step explanation:

Given data

The number of months is 60

the downpayment is $5,500

the monthly payment is $400

Let the function for the total payment be given as

y=mx+c

y= 400(60)+5500

y=24000+5500

y= 29500

Hence the total paid for the car is $29500

7 0

3 years ago