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2 years ago

How do you solve -4x - 10 < 2

Mathematics

1 answer:

viva [34]2 years ago

5 0

There is a way and you will find it but not from me

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Sandra knows the Pythagorean identity sin 2 ⁡ θ + cos 2 ⁡ θ = 1 . If she is told that 0 ≤ θ ≤ π 2 and cos ⁡ θ = 5 12, what will

slavikrds [6]

Answer:

$\text{tan}(\theta)=\frac{\sqrt{119}}{5}$

Step-by-step explanation:

We have been given that Sandra knows the Pythagorean identity $\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$ . She is told that $0\leq \theta\leq \frac{\pi}{2}$ and $\text{cos}(\theta)=\frac{5}{12}$ .

First of all, we will find value of sine theta using the given identity.

$\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$

$\text{sin}^2(\theta)+(\frac{5}{12})^2=1$

$\text{sin}^2(\theta)+\frac{25}{144}=1$

$\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}$

$\text{sin}^2(\theta)=\frac{144-25}{144}$

$\text{sin}^2(\theta)=\frac{119}{144}$

$\text{sin}(\theta)=\sqrt{\frac{119}{144}}$

$\text{sin}(\theta)=\frac{\sqrt{119}}{12}$

$\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}$

$\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}$

$\text{tan}(\theta)=\frac{\sqrt{119}*12}{5*12}=\frac{\sqrt{119}}{5}$

Therefore, $\text{tan}(\theta)=\frac{\sqrt{119}}{5}$ .

5 0

3 years ago

Can someone explain part c to me please?

Eduardwww [97]

Answer:

) = 23 °C

ii) = 4.4° C

Step-by-step explanation:

i) The temperature on the surface of the planet.

At the surface of the planet the height is Zero

Therefore, X = 0

Thus; using the equation, the temperature, y will be;

y = 23 - 5x

y = 23 - 5(0)

= 23 °C

ii) the temperature change for every kilometer from the surface,

From the equation;

y = 23 - 5x

we take, y to be 1

Therefore;

1 = 23 -5x , subtracting 23 on both sides we get

-22 = -5x

x = -22/-5

= 4.4° C

4 0

3 years ago

A grocer buys food from three suppliers. The suppliers deliver every 5 days, 6 days, and 7 days. All three came today. In how ma

AlekseyPX

Answer:

210

Step-by-step explanation:

For getting this answer we need to find the minimum common multiplier, this is, the smaller number that is multiple of all 5, 6 and 7.

For example, 30 is multiple of both 5 and 6, son in 30 days two suppliers will come, but not the third, as 30 is not a multiple of 7.

Let's try with the next multiple of 5 and 6, this is 60, but is not a multiple of 7.

The next is 90, but again not multiple of 7. Niether are the next: 120, 150, 180.

But when we arrive to 210 we see that, as we are going from multiples of 5 and 6, and 210/7=30, 210 is also multiple of 7.

So, the answer is 210.

5 0

3 years ago

Which expression is equivalent to 9-3?

irina [24]

Answer:

B because 3*3=9 And 3*1=3 so it would be 3(3y-1) foil the answer

Step-by-step explanation:

The answer is B, I took the test.

8 0

3 years ago

Read 2 more answers

Express 27 4/3 in simplest radical form

pantera1 [17]

Answer:

3⁴

Step-by-step explanation:

Expressing in the simplest radical form means simplifying a radical so that there are no more square roots, cube roots, fourth roots etc.

It further means removing radicals in the denominator of a fraction.

Given

$27^{4/3}$

this can be written as

$(\sqrt[3]{27} )^{4}$

This is simplified as;

(3)⁴

4 0

3 years ago