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Serjik [45]
3 years ago
15

What are the coordinates of A', the image of A(-3, 4), after a rotation of 180 about the 10. origin? (4, -3) B (-4, -3) C (3, 4)

D (3 , -4)
Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Answer:

( 4 , -3)

Step-by-step explanation:

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a person is standing on top of a smaller building looking across the street at a taller building, which is 260 feet away horizon
Anuta_ua [19.1K]

The height of the smaller building is <u>94.63 feet</u>, computed using the trigonometric ratios.

In the question, we take AB to be the taller building, where A is its top and B is its base, CD to be the shorter building, where C is its top and D is its base, and CE to be the perpendicular from C to AB.

Given that the horizontal distance between the two buildings is 260 feet, we can say that BC = CE = 260 feet.

The angle of elevation from the top of the shorter building to the top of the taller building is 30°, that is, ∠ECA = 30°.

The angle of depression from the top of the shorter building to the base of the taller building is 20°, that is, ∠ECB = 20°.

When ∠ECB = 20°, then ∠CBD = 20°, as they are alternate angles.

We are asked to find the height of the shorter building, that is, we are asked to find CD.

In ΔCBD,

tan ∠CBD = CD/BD {perpendicular/base},

or, tan 20° = CD/260,

or, CD = 260*tan 20° = 260*0.36397023426 {∵ tan 20° = 0.36397023426},

or, CD = 94.6322609092.

Therefore, the height of the smaller building is <u>94.63 feet</u>, computed using the trigonometric ratios.

Learn more about heights and distances at

brainly.com/question/2004882

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7 0
2 years ago
Alice solved the following equation:
user100 [1]
A.because -18 changes into positive and that would make it 18 + 12=30 and you divided it by -3x which should have x equal to -10
7 0
3 years ago
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Help with length of hypotenuse ​
Salsk061 [2.6K]

Answer:

sqrt(10) *x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + (3x)^2 = hypotenuse ^2

x^2 + 9x^2 = hypotenuse ^2

10x^2 = hypotenuse  ^2

Take the square root of each side

sqrt( 10x^2) =  sqrt(hypotenuse  ^2)

sqrt(10) * x = hypotenuse

5 0
3 years ago
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In the general population, one woman in eight will develop breast
MArishka [77]

Answer:

a) 8/10

b) 0.001 \overline{33}

c) Independent events

Step-by-step explanation:

The given information are;

The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600

The proportion of women in which the mutation develops breast cancer, P(B) = 8/10

a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;

1 × P(B) = 1 × 8/10 = 8/10

b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;

P(A) × P(B) = 1/600×8/10 = 1/750 = 0.001 \overline{33}

c) The events are dependent

Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.

4 0
3 years ago
Given rectangles LMNO and PQRS, which statement explains a way to determine if the two figures are similar?
allochka39001 [22]

Answer:

B

Step-by-step explanation:

<u>Definition:</u> Two rectangles are similar when they have corresponding sides proportional are proportional by dilation.

For example, rectangles with sides 3 cm, 4cm and 6 cm, 8 cm are similar, but rectangles with sides 3 cm, 4 cm and 6 cm, 10 cm are nor similar.

Since all angles in rectangle are always right angles, then options A and C are false (in terms of your question).

Option D is false too, because translation doesn't change the length, and in this case two rectangles are congruent.

Option B is true according to definition.

3 0
3 years ago
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