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avanturin [10]
3 years ago
11

Given the triangle below, what is m triangleA, rounded to the nearest tenth?

Mathematics
2 answers:
Neko [114]3 years ago
8 0

Answer:

The correct answer is option A   17.8°

Step-by-step explanation:

From the figure attached with this answer,

We can see a perpendicular from B to side AC

<u>To find BD</u>

In triangle BDC, its angles are 30°, 60° and 90°

Therefore the sides are in the ratio 1 :√3 : 2

Here BC = 11

BD : DC : BC = 1 :√3 : 2 = 11√3/2 : 11/2 : 11

Therefore BD = 11/2

<u>To find the value of  m<A</u>

We have

Sin ∅ = Opposite side /Hypotenuse

AB = 18 and BD = 11/2

Sin A = BD/AB =(11/2)/18 = 11/36 = 0.3055

m<A = Sin⁻¹(0.3055) = 17.79 ≈ 17.8°

Therefore the correct answer is option A  17.8°

Valentin [98]3 years ago
5 0

Answer:

B because it is close to 30

Step-by-step explanation:

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Tpy6a [65]

Answer:

0.1

Step-by-step explanation:

Take paranthesis away.

5.6-3.2-2.3

subtract 3.2 from 5.6

2.4-2.3=0.1

Hope it helps1

3 0
3 years ago
Read 2 more answers
A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?
zepelin [54]

Answer:

$2,753.79

Step-by-step explanation:

Compound Interest Formula

\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = $2,000
  • r = 3.25% = 0.0325
  • n = 1
  • t = 10

Substitute the given values into the formula and solve for A:

\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}

\implies \sf A=2000(1.0325)^{10}

\implies \sf A=2753.788608...

Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.

8 0
2 years ago
Meridith picked 4 times as many green peppers as red peppers how many green peppers did she pick.
mixas84 [53]
She picked 16 green peppers
6 0
3 years ago
Task: Population of a Species
Cloud [144]

Answer:

C(t) = 20t

Step-by-step explanation:

The graph of C(t) appears to be linear

The y intercept is 0

The slope is 200/10 = 20

y = mx+b  where m is the slope and b is the y intercept

y = 20x+0

y = 20x

C(t) = 20t

4 0
2 years ago
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Se compró un artículo en S/. 219. ¿Qué precio debe fijarse para su venta al público?, para que haciendo un descuento del 25% tod
MrMuchimi

Answer:

342,1875

Step-by-step explanation:

Dado

Precio de compra del artículo = 219

Precio de venta cuando el descuento dado es 25% = 219 + 0,25 * 219 = 273,75

Para otorgar un descuento del 25%, este producto debe estar marcado a un precio un 25% más alto que los precios de venta = 273,75 + 0,25 * 273,75 = 342,1875

8 0
3 years ago
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