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Oduvanchick [21]
3 years ago
14

The base of the triangle decreases by 30% and the height increases by 20%.

Mathematics
1 answer:
sergeinik [125]3 years ago
5 0

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}

<u>Initial triangle:</u>

The base is 18 cm

The height is 5 cm

The area is

A_{initial}=\dfrac{1}{2}\cdot 18\cdot 5=45\ cm^2

<u>New triangle:</u>

The base is (1-0.3)\cdot 18=0.7\cdot 18=12.6\ cm

The height is (1+0.2)\cdot 5=1.2\cdot 5=6\ cm

The area is

A_{new}=\dfrac{1}{2}\cdot 12.6\cdot 6=37.8\ cm^2

Area decreases by

100\%-\dfrac{37.8}{45}\cdot 100\%=100\%-84\%=16\%

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Misha Larkins [42]

A. The wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered.

B. To determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

Step-by-step explanation:

Step 1:

The circumference of a circle is obtained by multiplying the radius with 2π.

The circumference of a circle = 2 \pi r.

Here the radius of the circle is 22 cm but already a quarter of the circumference has been covered with wire.

Step 2:

So to determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

So the circumference of the circle = 2(3.1415)(22) = 138.226 cm.

\frac{3}{4} (138.226) = 103.6695 cm and \frac{1}{4}(138.226) = 34.5565 cm.

So the wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered. An additional 103.6695 cm of wire is needed to cover the remaining circle.

7 0
3 years ago
Please help I have this homework due tomorrow
Semmy [17]
Hey girl the answer is 4.2
7 0
3 years ago
Read 2 more answers
Let f(x)=6x. The graph of f(x) is transformed into the graph of g(x) by a vertical compression of 1/3 and a translation of 2 uni
hram777 [196]
K so a translation of 2 units up is just adding 2 to the end of the equation, and a vertical compression of 1/3 means dividing the slope by 3:
so your equation goes from

f(x)=6x (compresses to)
2x (add 2 for the translation)
g(x)=2x+2

Hope this helped.
3 0
3 years ago
5. Cost to store: $65<br> Markup: ?<br> Selling price: $91
makvit [3.9K]

Answer:

40 %

Step-by-step explanation:

the difference between cost and selling price:

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Find the percentage:

26/65 = 0.4 --> 40%

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Mark brainliest

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3 years ago
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Answer:

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Step-by-step explanation:

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