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3 years ago

Work out the size of the angle marked X. Give your answer correct to 1 decimal place.

Mathematics

1 answer:

Maurinko [17]3 years ago

5 0

Answer:

41.8°

Step-by-step explanation:

We solve using the Trigonometric function of Sine

Hypotenuse = 15cm

x = θ

Opposite = 10cm

sin θ = Opposite/Hypotenuse

sin θ = 10/15

θ = arc sin ( 10/15)

θ = 41.810314896°

θ = Approximately to 1 decimal place = 41.8°

Therefore, x = θ = 41.8°

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What is the coefficient of q in the sum of (2/3q-3/4) and(-1/6q-r)?

Harlamova29_29 [7]

Answer:

The coefficient is $\frac{1}{2}$

Step-by-step explanation:

The given sum is

$(\frac{2}{3}q -\frac{3}{4})+(-\frac{1}{6}q-r)$

We can choose to add only the coeffients of $q$ or simplify the whole sum.

$=\frac{2}{3}q -\frac{1}{6}q-\frac{3}{4})-r)$

We collect the LCM for the $q$ terms;

$=\frac{4-1}{6}q-\frac{3}{4})-r)$

This will give us;

$=\frac{3}{6}q-\frac{3}{4})-r)$

Which is the same as

$=\frac{1}{2}q-r-\frac{3}{4}$

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6 0

3 years ago

Read 2 more answers

A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few

Rzqust [24]

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

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3 years ago

13) (3 + 7v2)(3 – 7v2)

Dovator [93]

Answer:

the answer to this problem is

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Step-by-step explanation:

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3 years ago

Hey What is -5t > 10

yanalaym [24]

Answer: 10 (ten) is an even number

following 9 and preceding 11

Step-by-step explanation:

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3 years ago

Pilar ha comprado un coche, da una entrada y lo quiere pagar en 12 meses. Cada mes va a pagar 600,82€. Si ha dado al principio u

Molodets [167]

Answer:

Pilar va a pagar en total por el coche 14209.84€.

Step-by-step explanation:

Pilar ha comprado un coche, da una entrada y lo quiere pagar en 12 meses.

Cada mes va a pagar 600,82€. Como lo quiere pagar en doce meses, luego de finalizado ese tiempo el precio pagado se calcula como:

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Por otro lado, Pilar ha dado al principio una entrada de 7000€. Entonces, el total a pagar por el coche es calculado como:

7000€ + 7209,84€= 14209.84€

<u><em>Pilar va a pagar en total por el coche 14209.84€.</em></u>

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3 years ago