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olga2289 [7]
2 years ago
8

Is A ABC similar to DEF? Why or why not?

Mathematics
2 answers:
kompoz [17]2 years ago
7 0

Answer:

d

Step-by-step explanation:

vova2212 [387]2 years ago
6 0

Answer:

Option(D)

Step-by-step explanation:

Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.

For the two triangles to be similar, it must satisfy the similarity condition that is:

Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.

Therefore, Not all the angles are congruent, thus the triangles cannot be similar.

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A ladder is leaning against a building as shown in the
JulsSmile [24]

The length of ladder is 30 ft.

<h3>How can the feet that made up the side of the building is the top of the ladder be known ?</h3>

The formula below can be used in solving the problem

Tan (∅)= \frac{opposite}{adajacent}

∅=70°

opposite = BC

Adjacent  = 12 ft

70°= opposite/ 12

opposite= 32.96 ft

Therefore, The length of ladder is 30 ft.

NOTE; Since the actual diagram can not be found i solved another on on the same topic

Learn more about Trigonometry on:

brainly.com/question/7380655

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CHECK COMPLETE QUESTION BELOW:

Consider the diagram shown where a ladder is leaning against the side of a building. the base of the ladder is 12ft from the building. how long is the ladder? (to the nearest ft)

a. 25ft

b. 30ft

c. 35ft

d. 40ft

5 0
2 years ago
A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.
7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

F(1)=0

F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

0 = 6 + 6 + 3 + K

K = -15

Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

7 0
3 years ago
A wedding planner uses 72 ivy stems for 18 centerpieces when she arrives at the venue she realizes she will only need 16 centerp
beks73 [17]

Answer:

64 ivy stems

Step-by-step explanation:

To solve this problem we can use rule of three:

Firstly we had 72 ivy stems to use in 18 centerpieces, and know we have 16 centerpieces and want to know how many ivy stems we need to use, so:

18 centerpieces -> 72 ivy stems

16 centerpieces -> X ivy stems

18/16 = 72/X

X = 16*72/18 = 64

He needs to use now 64 ivy stems to maintain the ratio.

6 0
3 years ago
Read 2 more answers
The difference bewteen -58 - 40
Korolek [52]

Answer:

-98

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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