Help me please 100 points! with work!

What is the length of the side labeled x cm?

UkoKoshka [18]

When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
side x = 9.18484 / 0.97437

 side x = 9.4264396482

5 0

3 years ago

Help me with question plz

rewona [7]

Answer:

41

Step-by-step explanation:

What I did was I took 180, 85 and 54 and subtracted them to get 41 if it is wrong i am so very sorry

7 0

3 years ago

Read 2 more answers

A scale drawing of a field is shown below. The drawing uses a scale of 1 in. = 14 ft. What is the area of the actual field?

svp [43]

Answer:

D. 4,704 ft²

Step-by-step explanation:

Giving a scale of 1 in. = 14 ft, to find the actual area of the field represented by the triangular drawing above, convert the length of the base and height to the actual lengths of the field using the scale.

Height of drawing = 8 in.

Actual height = 8*14 = 112 ft

Base of drawing = 6 in.

Actual base = 6*14 = 84 ft

Area of the field = area of ∆

Area = ½*base*height

Area = ½*84*112

Area = 4,704 ft²

3 0

3 years ago

If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig

Otrada [13]

Answer:

$4.37 cash outlay

$29.37 total amount paid, partly with gift card

Step-by-step explanation:

The discount was ...

0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

$32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

tax = $27.45 × 0.07 = $1.9215 ≈ $1.92

So, payment is made on the amount ...

$27.45 + 1.92 = $29.37

$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

_____

Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

__

Alternate interpretation

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0

3 years ago

(2.8•10^8)(1.9•10^4)

Mekhanik [1.2K]

Answer: 5.32 × 10^12

Step-by-step explanation:

This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:

= (2.8•10^8)(1.9•10^4)

= (2.8 × 1.9) × 10^8+4

= 5.32 × 10^12

Therefore, the answer to the question will be 5.32 × 10^12.

5 0

3 years ago