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4 years ago

Simplify cos θ sec θ.

Mathematics

2 answers:

Ray Of Light [21]4 years ago

5 0

Cot(x)=cos(θ)/sin(θ) and sec(θ)=1/cos(θ)

Therefore: cot(θ)*sec(θ)= (cos(θ)/sin(θ))*(1/cos(θ))= 1/sin(θ)= csc(θ)

cupoosta [38]4 years ago

4 0

Here you go :) ......

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The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob

Andreyy89

Answer:

If a mixture contains 1000 pounds of Arabica beans, there should be 250 pounds of Robusta beans in the mixture.

Step-by-step explanation:

700A+1,200R=1,000,000

700(1000) +1,200R=1,000,000 - First, plug in the A value and simplify .

700000+1,200R=1,000,000 - Then, subtract 700,000 from both sides.

1,200R=300,000 - Finally, divide by 1,200 on both sides of the equation.

R=250 - This is your value for R, or the Robusta beans.

250 pounds of Robusta beans

Hope this helps!

7 0

3 years ago

A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

The average third grade student can read

Lynna [10]

Answer:

16x

Step-by-step explanation:

80 divided by 5 is 16, so the student can read 16 words per minute. X is the number of minutes.

6 0

3 years ago

65% of 150 estimate percent

Ksju [112]

Answer:

97.5

Brainliest answer pls

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How many feet is in 215 yards

Lilit [14]

645 feet.

Explanation:
We know that are 3 feet in a yard, so let's set up a proportion to solve this

x215
3 feet n
-------- = -----------
1 yard 215 yards
x 215

We are solving for n. To get from 1 to 215, we multiply by 215. So to get from 3 to the answer, we must multiply by 215 as well. 3 x 215 = 645, therefore that is the answer.

6 0

3 years ago

Read 2 more answers