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True [87]
3 years ago
7

Student Directions:

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0

Answer:

a congruent triangle is less then 180 and is around 42 degrees

Step-by-step explanation:

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While shopping with your friend, Rory, you remember you have a coupon for 10% off any item. The thing you want is $100 and it is
Fofino [41]

Answer:

it is b i did it on eg 2020

Step-by-step explanation:

8 0
3 years ago
A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m². The surface area of the image is 315 m². T
Westkost [7]

The original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

<h3>How does dilation affect length, area, and volume of an object?</h3>

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.

So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

<u><em>L = k × M</em></u>

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by <u><em>k²</em></u><em> </em>to get each other corresponding quantity from their similar figures' quantities.

<u><em>So </em></u><u><em>area </em></u><u><em>of </em></u><u><em>first figure </em></u><u><em>= k² × area of second figure</em></u>

Similarly,

<u><em>Volume </em></u><u><em>of first figure = k³ × volume of second figure.</em></u>

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that;

  • Surface area of pre-image = 35 m²
  • Surface area of dilated image = 315 m²
  • Height of pre-image = 5.8 m
  • Height of dilated image.

Let the scale fator of dilation be k.

Then:

<u><em>So area of pre-image = k² × area of dilated image</em></u>

Thus, we get:

35 = k^2 \times 315\\\\k = \sqrt{\dfrac{35}{315}} = 1/3

(took positive root as scaling is done by non-negative factors as only magnitude matters mostly)

Thus, we get:

Height of pre-image = (1/3) × Height of dilated image (say h)

5.8 = (1/3) \times h\\h = 3 \times 5.8 = 17.4 \rm \: m

Thus, the original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

Learn more about dilation here:

brainly.com/question/3266920

4 0
2 years ago
Read 2 more answers
D<br> d = 4.5 yd<br> Calculate the circumference of the circle.
timurjin [86]
14.14 cuz that’s the equation for diameter to circumference

4 0
3 years ago
Read 2 more answers
Use Stokes' Theorem to calculate . F = 5yi + 7xj + z3k; C: the counterclockwise path around the perimeter of the triangle in the
valina [46]

Answer:

hello your question is incomplete attached is the complete question

answer : 25/2 ( A )

Step-by-step explanation:

using Stokes' Theorem to calculate

F = 5yi + 7xj  + z^3 k

line y = 5 - 2x

attached below is the remaining part of the solution to the question

3 0
3 years ago
3tenths - 3 twentieth​
lakkis [162]

Answer:

0.15

Step-by-step explanation:

Given expression

3 tenths- 3 twentieth

⇒

=\frac{3}{10} -\frac{3}{20} \\=\frac{6}{20} -\frac{3}{20}\\=\frac{6-3}{20} \\=\frac{3}{20} \\=0.15

Therefore value of given expression is 0.15

7 0
3 years ago
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