At school store, 6 pencils sell for $.99. At this rate, what is the cost of 16pencils

Mathematics

1 answer:

Alexandra [31]1 year ago

8 0

Answer:

$2.64

Step-by-step explanation:

Divide .99 by 6 to get 0.165, then multiply 0.165 by 16 to get 2.64.

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Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

The height of the bullding is 717 ft

Step-by-step explanation:

Right Triangles

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$

Solving for h:

$h = 100\tan 82^\circ$

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0

3 years ago

A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.

ivolga24 [154]

Answer:

50%

Step-by-step explanation:

If there are 4 parts to the spinner, 4 is the whole. Since there are 2 even numbers (2&4), the fraction would be $\frac{2}{4}$ , which is simplified to $\frac{1}{2}$ . And because $\frac{1}{2}$ could also turn into $\frac{50}{100}$ , the percentage is 50%.