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3 years ago

In the sequence 80, 64, 48, 32, ..., what number should come next?

Mathematics

2 answers:

Lubov Fominskaja [6]3 years ago

8 0

Answer:

16 should come next

Step-by-step explanation:

First, determine the rule

<em>N, decreases</em> by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.

Therefore, subtract 16 from 32 to receive 16

otez555 [7]3 years ago

5 0

(b) sixteen is the answer

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Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14

Hitman42 [59]

Answer:

The angle of elevation of the sun from the ground to the top of a tree is $36^{\circ}$ .

Step-by-step explanation:

As given

The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.

Now by using the trignometric identity .

$tan\theta =\frac{Perpendicular}{Base}$

As figure is given below .

AB = Perpendicular = 10 yards

BC = Base = 14 yards

Putting all the values in the trignometric identity .

$tan\theta =\frac{AB}{BC}$

$tan\theta =\frac{10}{14}$

$\theta =tan^{-1}(\frac{10}{14})$

$\theta =36^{\circ}$

Therefore the angle of elevation of the sun from the ground to the top of a tree is $36^{\circ}$ .

7 0

3 years ago

Read 2 more answers

Nell's mom makes chocolate milk with 30\text{ mL}30 mL30, start text, space, m, L, end text of chocolate syrup for every 222 oun

mixas84 [53]

Answer:

Hence Nell's mom Chocolate milk is more Chocolaty.

Step-by-step explanation:

Given:

Chocolate syrup used by Nell's mom = 30 ml

Amount of milk used = 2 ounces.

We will first find Amount of chocolate syrup used in 1 ounce of milk.

Now In 2 ounces of milk = 30 ml of chocolate syrup.

So in 1 ounce of milk = Amount of Chocolate syrup used for 1 ounce milk.

By using Unitary method we get;

Amount of Chocolate syrup used for 1 ounce milk= $\frac{30}{2}=15\ ml$

Hence For every 1 ounce of milk Nell's mom uses 15 ml of chocolate syrup.

Also Given:

Chocolate syrup used by Nell's dad = 65 ml

Amount of milk used = 5 ounces.

We will first find Amount of chocolate syrup used in 1 ounce of milk.

Now In 5 ounces of milk = 65 ml of chocolate syrup.

So in 1 ounce of milk = Amount of Chocolate syrup used for 1 ounce milk.

By using Unitary method we get;

Amount of Chocolate syrup used for 1 ounce milk= $\frac{65}{5}=13\ ml$

Hence For every 1 ounce of milk Nell's dad uses 13 ml of chocolate syrup.

Since The amount of chocolate syrup used by Nell's mom is more than Nell's dad.

Hence Nell's mom Chocolate milk is more Chocolaty.

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3 years ago

In quadrilateral LMNO, LO ∥ MN.

wlad13 [49]

The additional information which would be sufficient to conclude that LMNO is a parallelogram is; ML ∥ NO, LO ≅ MN, and ML ≅ LO.

<h3>What information renders LMNO a parallelogram?</h3>

The condition for a quadrilateral to be a parallelogram is that; the opposite pairs must be parallel and consequently opposite pairs are congruent as they have equal length measures.

On this note, it can be concluded that the additional information which would be sufficient are; ML ∥ NO, LO ≅ MN, and ML ≅ LO.