find the missing side or angle and each problem .

$Please help.find the missing side or angle and each problem . ​$

## This Post Has 8 Comments

1. Expert says:

step-by-step explanation:

which of the following statements correctly describes the expression below based on its degree and number of terms?

314 - 7x2 + 11

2. mawawakaiii says:

1. 27
2. 55
3. 20
4. 21

3. Expert says:

$(2b + 3)(5b - 1)(5b + 1)$

step-by-step explanation:

the expression $50b^3 + 75b^2 - 2b - 3$ can be written as $(2b - 3)(5b - 1)(5b + 1),$ because $(2b + 3)(5b - 1)(5b + 1)=(2b+3)(25b^2-1)=50b^3+75b^2-2b-3.$

then the dimensions of the rectangular box are 2b+3, 5b-1 and 5b+1.

4. loravillanueva87 says:

d. t ≈ 5m

e. y ≈ 44°

f. x = 36°

Step-by-step explanation:

We'd apply the trigonometry function to solve for all missing sides and angles as follows:

Hypothenuse = 11.1m

θ = 62°

Cos(62) = t/11.1

Multiply both sides by 11.1

11.1*cos(62) = t

11.1*0.4695 = t

t = 5.21 ≈ 5 m

e. Opposite = 7m

Hypotenuse = 10m

θ = y°

Use sine θ = opposite/hypotenuse

Thus,

sine θ = 7/10

sine θ = 0.7

θ = sin-¹(0.7) = 44.4

y ≈ 44° (nearest whole number)

f. Opposite = 4.2cm

θ = x°

tan θ = 4.2/5.8

tan θ = 0.7241

θ = tan-¹(0.7241) = 35.91

θ = x ≈ 36°

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7. nicog94 says:

A. x = 58°

B. x = 10m

C. a = 44°

All approximated to nearest whole number.

Step-by-step explanation:

All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.

Recall: SOHCAHTOA

Hypotenuse = 9cm

Angle to find =x°

Thus, we would apply the following formula:

Cos θ = 4.8/9 = 0.5333

θ = Cos-¹(0.5333) = 57.77

x ≈ 58° (to nearest whole number)

b. Opposite side = x

Hypothenuse = 40 m

Included angle = 14°

We would use:

Sine θ = opposite/hypothenuse

Sin (14) = x/40

Multiply both sides by 40

40*sin(14) = x

40*0.2419 = x

x = 9.676 = 10 m (to nearest whole number)

c. Opposite = 87mm

θ = a°

We would use:

Tan θ = 87/91

Tan θ = 0.9560

θ = tan-¹(0.9560)

θ = a = 43.71

a ≈ 44° (to nearest whole number)

8. deveshtewariri8584 says:

x = 73.4°

Step-by-step explanation:

sin x° = 23/24

sin x° = 0.9583

x = 73.4°