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3 years ago

Triangle LKJ is similar to triangle TSR. Which of the following statements is true?

Mathematics

1 answer:

mars1129 [50]3 years ago

6 0

Answer:

the 3rd choice is correct

Step-by-step explanation:

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Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

For the noon meal today she ate 1/2 of a 3-ounce serving of meatloaf, 3/4 of her 3-ounce serving of mashed potatoes, and 1/3 of

Leya [2.2K]

4.41 ounces. 1.5 +2.25 + .66=4.41. You just multiply the faction by the number and add it all up.

3 0

3 years ago

How can you change the equation y = 2x + 3 to function notation?

qwelly [4]

Answer:

$f(x)=2x+3$

Step-by-step explanation:

The first thing that would need to be done is solving for y. This problem has already done this. The next step is to exchange y for $f(x)$

That is all. This would mean that the function notation for the equation would be: $f(x)=2x+3$

8 0

3 years ago

Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis

katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

$\frac{1}{\lambda} = 13$

$\lambda = \frac{1}{13}$

As we know,

The cumulative distributive function will be:

⇒ $1-e^{-\lambda x}$

hence,

In the first 5 years, the probability of failure will be:

⇒ $P(X$

$=1-e^{-(\frac{1}{13} )\times 5}$

$=1-e^(-\frac{5}{13})$

$=1-0.6807$

$=0.3193$

3 0

3 years ago

Danielle plotted 3 points from the equation y = 4x on this coordinate grid. She drew a straight line through the points.

barxatty [35]

You can find any ordered pair in which the y coordinate is 4 times the x coordinate.

For example, an ordered pair could be (2,8) or (5,20)

5 0

3 years ago