Answer:

**Answer:**

-120/119

**Step-by-step explanation:**

cos α = -5/13 = adj/hyp

using Pythagoras theorem

hypotenuse ² = opposite² + adjacent ²

13² =opp²+ (-5)²

169 = opp² + 25

169-25 = 144 = opp²

opp = √144 = 12

sinα = opp/hyp = -12/13

sin β = -12/13

tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ)

cos α = -5/13

sinα = 12/13

tanα= sinα/cosα = 12/13 / -5/13 = 12/-5 = -12/5

sin β = -12/13

cos β = 5/13

tan β = sinβ/cosβ = -12/13 / 5/13 = -12/5

tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ)

tanα = -12/5

tanβ= -12/5

tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ) = (-12/5+(-12/5))/(1-(-12/5)(-12/5))

(-12/5+(-12/5)) = -12-12/5 = -24/5

(1-(-12/5)(-12/5)) = 1-(144/25) = (25-144)/25 = 119/25

tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ) = (-12/5+(-12/5))/(1-(-12/5)(-12/5)) =-24/5/119/25 = -24/5 x 25/119 = -24x5/119 = -120/119

What is the total surface area please help

In a right triangle, the length of the hypotenuse is 12m and the measure of one of the acute angles is 36°.Find the measure of the other acute angle and the lengths of the legs.

If JK←→ and LM←→− are different names for the same line, what must be true about points J, K, L, and M ?

The coordinates for the vertices of a polygon are (1, 4), (6, 4), and (6,1). What type of polygon is formed by these points?A) square B) quadrilateral C) right triangle D) scalene triangle

the probability of a particular digit is more than 8%. the graph represents the situation. which values are included in the solution set? check all that apply

In a right triangle, the length of the hypotenuse is 12m and the measure of one of the acute angles is 36°.Find the measure of the other acute angle and the lengths of the legs.

If JK←→ and LM←→− are different names for the same line, what must be true about points J, K, L, and M ?

The coordinates for the vertices of a polygon are (1, 4), (6, 4), and (6,1). What type of polygon is formed by these points?A) square B) quadrilateral C) right triangle D) scalene triangle

the probability of a particular digit is more than 8%. the graph represents the situation. which values are included in the solution set? check all that apply

**Answer:**

s^3 + 12

**Step-by-step explanation:**

To get the missing volume you need to do:

height x length x width or s^3.

Then, add that volume to the existing 12 volume:

s^3 + 12.

Hopefully this helped!

Brainliest please?

**Answer: I don't know do it your self**

**Step-by-step explanation:**

**Answer:**

24.2

**Step-by-step explanation:**

You are given the hypotenuse and angle, and you want to find the length of the adjacent side.

The mnemonic SOH CAH TOA reminds you that the relation between angle and sides is ...

Cos = Adjacent/Hypotenuse

cos(41°) = x/32

x = 32·cos(41°)

** x ≈ 24.2**

**Answer:**

**use f(x)=y=mx+b**

**let snow = S, time = t instead of y and x**

**S(t)=mt+b**

**The rate of inches per hour represents the slope of the graph, m.**

**The y-variable would be the amount of snow, S.**

**The x-variable would be the time, t, in hours.**

**The function has three pieces:**

**i) S(t)= 2t (slope = 2)**

**ii) S(t) = 3t (slope = 3)**

**iii) S(t) = 0.75t (slope = 0.75)**

**For the first piece, i), t=3, so the amount of snow is 6 inches.**

**For the second piece, ii) t=5, so the amount of snow is 15 inches.**

**For the third piece, iii) t=1, so the amount of snow is 0.75 inch.**

**In total, it snowed 21.75 inches.**

**total snow**

To find the total accumulation of snow during the nine-hour snowstorm, we calculate the snow accumulation for each hour and then sum them up. The total accumulation of snow from the storm is 21.75 inches.

To find the **total accumulation of snow **during the nine-hour snowstorm, we need to calculate the amount of snow that fell during each hour and then sum them up. First, we calculate the snow accumulation for each hour:

- For the first 3 hours, it snowed at a rate of 2 inches per hour, so the accumulation is 3 * 2 = 6 inches.
- For the next 5 hours, it snowed at a rate of 3 inches per hour, so the accumulation is 5 * 3 = 15 inches.
- For the final hour, it snowed at a rate of 0.75 inch per hour, so the accumulation is 1 * 0.75 = 0.75 inches.

Finally, we sum up the accumulations for each hour: 6 + 15 + 0.75 = **21.75 inches**. Therefore, the total accumulation of snow from the storm is 21.75 inches.

#SPJ11

0.02 mph

53 mph

108 mph

212 mph

The **average speed **of the **automobile **is **53mph. **

**Average speed **is the total distance travelled by the **automobile **(106 miles) divided by the total hours travelled by the **automobile **(2 hours). It is the rate of the movement of the **automobile. **

**Average speed = **total distance travelled / total time travelled

106 / 2 = **53 mph**

To learn more about how to determine **average speed**, please check: brainly.com/question/9834403

2. 6, 8, 10,

5, 7, 9, 11,

ОО

4. 3. 16. 32

4.3.16.32 is geometric

**Answer:**

Part A: -8

Part B: -4

**Step-by-step explanation:**