Answer:

Step-by-step explanation:
Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)
So, we want to find θ.
Since we formed a right triangle, we can use right triangle ratios.
We know the measure of the adjacent side to θ and the hypotenuse.
Therefore, we will use the cosine ratio:

The adjacent side is 2 and the hypotenuse is 15. By substitution:

Now, we will take the inverse cosine of both sides. So:

Use a calculator. Hence:

The angle between the ground and the ladder is about 82.34°.
Its basically 7 see there is nothing but the number 7 which means as to an expression its 7.
Answer:
21.33 to nearest hundredth
Step-by-step explanation:
Inverse Variation is y = k / x where k is a constant.
Plug in the given values to find k:-
16 = k/4
k = 4*16 = 64 so the equation of variation is y = 64/x.
So when x = 3, y = 64/3 = = 21.33 to nearest hundredth.
Answer:
Step 1 of 2: Subtract.
Subtract
(
negative 5 over 8
−
5
8
) − (
negative 4 over 3
−
4
3
) =
17 over 24
17
24
Step 1 of 2: Subtract, sub-step a: Subtract a negative.
Subtract a negative
negative 5 over 8
−
5
8
− (
negative 4 over 3
−
4
3
) =
negative 5 over 8
−
5
8
+
4 over 3
4
3
Subtracting a negative is the same as adding a positive.
Step 1 of 2: Subtract, sub-step b: Find common denominator.
Find common denominator
negative 5 over 8
−
5
8
+
4 over 3
4
3
= −
( 5 × 3 ) over ( 8 × 3 )
5 × 3
8 × 3
+
( 4 × 8 ) over ( 3 × 8 )
4 × 8
3 × 8
=
negative 15 over 24
−
15
24
+
32 over 24
32
24
24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step c: Add.
Add
negative 15 over 24
−
15
24
+
32 over 24
32
24
=
(
negative 15
−15 + 32 ) over 24
negative 15
−15 + 32
24
=
17 over 24
17
24
Why does Mrs. Frank accuse Mr. Van Daan of being a poor father?
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