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3 years ago

PLEASE HELP ASAP PLEASE

Mathematics

1 answer:

shutvik [7]3 years ago

3 0

Answer:

-5.5

Step-by-step explanation:

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The height H of a skydiver t seconds after jumping. Let T be the independent variable, and assume the skydiver jumps from a heig

Rina8888 [55]

Answer:

25 seconds

Step-by-step explanation:

Skydiving.

height (in feet) above the earth=h(t)= -16t^2 + 10,000

the time it would take to fall when h is 0

-16t^2 + 10,000=0

-16t^2=-10000

16t^2=10000

t^2=10000/16=625

t=sqrt 625=25 seconds

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3 years ago

Verify that [tan(theta) + cot(theta)]^2 = sec^2(theta) + csc^2(theta)

Wittaler [7]

(tanθ + cotθ)² = sec²θ + csc²θ

<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ

<u>Evaluate middle term</u>: 2tanθcotθ = $2*\frac{sin\theta}{cos\theta}*\frac{cos\theta}{sin\theta}$ = 2

⇒ tan²θ + 2+ cot²θ

= tan²θ + 1 + 1 + cot²θ

<u>Apply trig identity:</u> tan²θ + 1 = sec²θ

⇒ sec²θ + 1 + cot²θ

<u>Apply trig identity:</u> 1 + cot²θ = csc²θ

⇒ sec²θ + csc²θ

Left side equals Right side so equation is verified

7 0

3 years ago

Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?

salantis [7]

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

${:}\longrightarrow$ $\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}$

${:}\longrightarrow$ $\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}$

${:}\longrightarrow$ $\sf 8 (3x)=5×3$

${:}\longrightarrow$ $\sf 24x=15$

${:}\longrightarrow$ $\sf x={\dfrac{24}{15}}$

${:}\longrightarrow$ $\sf x=1.6$

$\therefore$ Nichol runs 1.6miles .

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3 years ago

Is 0.012000000 repeating or terminating?

iris [78.8K]

Answer: Terminating

Step-by-step explanation: Although the 0 is repeating, a 0 doesn't really mean anything as it is after the numbers. That number is just 0.012. The zeros are unnecessarily there.

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3 years ago

Which transformation will create a similar and a congruent triangle?

Reptile [31]

I believe it’s translation

7 0

3 years ago

PLEASE HELP ASAP PLEASE​

PLEASE HELP ASAP PLEASE