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3 years ago

Mateo has drawn a line to represent the parallel cross-section of the triangular prism. Is he correct? Explain.

Mathematics

2 answers:

kari74 [83]3 years ago

9 0

Answer:

Step-by-step explanation:

A triangular prism has a uniform cross-section.A parallel cut of the solid will produce a cross section which is parallel to the triangular base.

A right prism contains uniform cross-sections, meaning the area of each cross-section is the same.

In this case, the position of the line indicating a cut will not produce polygons congruent to the base.

dsp733 years ago

8 0

Answer:think it's d

Step-by-step explanation:

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If f(x) = 5x, what is f^–1(x)?

EleoNora [17]

1/5 would be the correct one.

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4 years ago

100 random students are surveyed outside of the student center on campus. Let V denote that the student has a Visa credit card a

mote1985 [20]

Answer:

(a) The value of P (M | V) is 0.30.

(b) The value of $P (M^{c} | V)$ is 0.70.

(d) The value of $P(V^{c}|M)$ is 0.625.

Step-by-step explanation:

It is provided that,

V = a student has a Visa card

M = a student has a Master card

N = 100, n (V) = 40, n (M) = 32 and n (V ∩ M) = 12.

The probability of a student having visa card is:

$P(V) = \frac{n(V)}{N}= \frac{40}{100}=0.40$

The probability of a student having master card is:

$P(M) = \frac{n(M)}{N}= \frac{32}{100}=0.32$

The probability of a student having visa card and a master card is:

$P(V\cap M) = \frac{n(V\cap M)}{N}= \frac{12}{100}=0.12$

The conditional probability of an event, say A, given that another event, say B, has already occurred is,

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

(a)

Compute the probability that a student has a master card given that he/she has a visa card also, i.e. P (M | V) as follows:

$P(M|V)=\frac{P(V\cap M)}{P(V)} =\frac{0.12}{0.40}=0.30$

Thus, the value of P (M | V) is 0.30.

(b)

Compute the probability that a student does not have a master card given that he/she has a visa card also, i.e. $P (M^{c} | V)$ as follows:

$P (M^{c} | V)=1-P(M|V)=1-0.30=0.70$

Thus, the value of $P (M^{c} | V)$ is 0.70.

(c)

Compute the probability that a student has a visa card given that he/she has a master card also, i.e. P (V | M) as follows:

$P(V|M)=\frac{P(V\cap M)}{P(M)} =\frac{0.12}{0.32}=0.375$

Thus, the value of P (V | M) is 0.375.

(d)

Compute the probability that a student does not have a visa card given that he/she has a master card also, i.e. $P(V^{c}|M)$ as follows:

$P(V^{c}|M)=1-P(V|M)=1-0.375=0.625$

Thus, the value of $P(V^{c}|M)$ is 0.625.

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3 years ago

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.

Ber [7]

Answer:

Option D.

LA Theorem or Postulates

Explanation:

LA theorem or postulates is leg-acute states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

In $\triangle ACB$ and $\triangle DFC$

$\angle C =\angle F = 90^{\circ}$ [Given]

$\angle B = \angle E$ [Acute angle] [Given]

$BC=EF$ [Given]

By LA theorems or postulates,

$\triangle ACB \cong \triangle DFE$

Therefore, LA theorems or postulates support the conclusion that the triangles are congruent.

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3 years ago

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Write a compound inequality that represents the situation.

bearhunter [10]

Answer:

Step-by-step explanation:

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4 years ago

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lions [1.4K]

Answer:

1. Radius: 3 Diameter: 6 Circumference: 18.85 Area: 28.27

2. R: 6 D: 12 C: 37.7 A: 113.1

3. R: 9 D: 18 C: 56.55 A: 254.47

4. R: 2.4 D: 4.8 C: 15.08 A: 18.1

5. R: 3.5 D: 7 C: 21.99 A: 38.48

6. R: 7 D: 14 C: 43.98 A: 153.94

Step-by-step explanation:

Radius is half of diameter. Diameter is double radius. Circumference is 2 times pie times radius. Area is pie times radius squared.

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3 years ago

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