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lyudmila [28]
3 years ago
13

Problem page the price of a notebook has dropped to $3.20 today. Yesterday's price was $3.45 . Find the percentage decrease. Rou

nd your answer to the nearest tenth of a percent.
Mathematics
1 answer:
Anna11 [10]3 years ago
8 0

Yesterday's price of notebook = $3.45

Today's price of notebook = $3.20

We have to determine the percentage decrease in the cost of notebook.

Percentage decrease = (Decrease \div Old price) \times 100

So, percentage decrease = \frac{3.45-3.20}{3.45} \times 100

=\frac{0.25}{3.45} \times 100

= 7.246%

= 7.25%

Therefore, there is 7.25% of decrease in the cost of the notebook.

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Write each expression using exponents:<br> 4*4*4*4*4
erastova [34]

Answer:4^6

Step-by-step explanation:

<em>The number of times a term is multiplied is the exponent you use.</em>

<em></em>

<em>In this problem </em>

<em>4 is multiplied 6 times.</em>

<em></em>

<em>Therefore: 4*4*4*4*4*4=4^6</em>

7 0
2 years ago
Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

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
Please help NO LINKS ( i will mark brainliest)
Arlecino [84]

Answer:

with what

Step-by-step explanation:

5 0
2 years ago
What is an equivalent expression for 2x + 10x and 2(x-4) + x
tester [92]
2x+10x combine like terms
12x
2(x-4)+4 Distribute 2
2x-8+4
combine like terms
2x-4
6 0
3 years ago
Secants L J and L M intersect and form an angle at point L. Solve for x.
german

Answer:

x = 14  

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}

Check:

\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}

It checks.

6 0
3 years ago
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