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3 years ago

What is the cosecant of angle X?

Mathematics

1 answer:

givi [52]3 years ago

8 0

Answer:

cscX = $\frac{y}{x}$

Step-by-step explanation:

using the trigonometric identity

cscX = $\frac{1}{sinX}$

sinX = $\frac{opposite}{adjacent}$ = $\frac{x}{y}$

cscX = $\frac{1}{\frac{x}{y} }$ = $\frac{y}{x}$

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Draw a factor tree the prime factorization of 45 and 90 in the space provided below

Ann [662]

45 90
/ \ / \
5 9 45 2
/ \ / \
3 3 5 9
5x3x3 / \
3 3
2x5x3x3

3 0

3 years ago

a toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its heigh

sdas [7]

Answer:

t = 2.11 seconds

Step-by-step explanation:

A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:

$h=-16t^2+32t+48$

Let us assume that we need to find the time by it to reach the ground. It means h = 0

$-16t^2+32t+48=0$

The above is a quadratic equation. The value of t is given by :

$t=\dfrac{-b\pm \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-b+ \sqrt{b^2-2ac} }{2a},\dfrac{-b- \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-32+ \sqrt{(32)^2-2\times (-16)(8)} }{2\times (-16)},\dfrac{-32-\sqrt{(32)^{2}-2\times(-16)(8)}}{2\times(-16)}\\\\t=-0.11\ s, 2.11\ s$

So, it will take 2.11 seconds to reach the ground.

6 0

3 years ago

the sum of age of mabel and fred is 38 years,four years ago the age of mabel was the square of Fred age.Find their ages

Andrej [43]

m+f=38

(f-4)^2=m-4

f^2=m IF their age is 30 combined

4^2=16

16=16

Fred is 4, Mabel is 16.

8 0

3 years ago

CANT BE A MIXED NUMBER <br> (42/3 ÷ 8/9) ÷ 5 1/4

ioda

Answer: = 7 /7344 (Decimal: 0.000953)

4 0

3 years ago

A smart-phone is thrown upwards from the top of a 384-foot building with an initial velocity of 32 feet per

Anna007 [38]

Answer:

When t = 4

Step-by-step explanation:

The phone will hit the ground when h = 0.

$16t^2 + 32t + 384 =0 \\ \\ t^2 + 2t + 24=0 \\ \\ (t+6)(t-4)=0 \\ \\ t=-6, 4$

However, as time cannot be negative, we know the answer is when t = 4.

5 0

2 years ago