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3 years ago

9

One number is 2 more than another. If four times the larger number decreased by the smaller number is equal to 32,what are the n

umbers

1 answer:

Vanyuwa [196]3 years ago

4 0

The numbers would be 8 and 10

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If x is a positive acute angle and cos x = 3/5, find the value of sinx.

Dima020 [189]

X is a positive acute angle. That means x is located in the first quadrant and has positive value in sin, cos, tan.

The formula of trigonometry ratio
cos x = $\dfrac{\text{adjacent}}{\text{hypotenuse}}$
sin x = $\dfrac{\text{opposite}}{\text{hypotenuse}}$

From the formula of cosine
cos x = $\dfrac{3}{5}$
$\dfrac{\text{adjacent}}{\text{hypotenuse}}= \dfrac{3}{5}$
from the formula above, adjacent side is 3 units, and hypotenuse is 5 units

Draw a right triangle to illustrate the location of the sides. See image attached.

To find the ratio of sine, we need to find the length of opposite side using pythagorean theorem
3² + (opposite)² = 5²
9 + (opposite)² = 25
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3 0

2 years ago

One number is 6 more than another. The difference between their squares is 204. What are the numbers?

Crazy boy [7]

Answer:

14 and 20

Step-by-step explanation:

<u><em> Let x and y be two numbers where x < y</em></u><em>.</em>

We are given :

y - x = 6

y² - x² = 204

Then

y - x = 6

(y - x)(y + x) = 204

Then

y - x = 6

6 × (y + x) = 204

then

y - x = 6 (Equation 1)

y + x = 34 (Equation 2)

Then

(Equation 1) + (Equation 2) ⇒ 2y = 40 ⇒ y = 20

Now ,we substitute y by 20 in equation 1 :

y - x = 6

⇔ 20 - x = 6

⇔ 20 - 6 = x

⇔ x = 14

4 0

1 year ago

Read 2 more answers

What change(s) should Sylvia make to the equation to find the value of t in the above scenario?

finlep [7]

Answer:

Option (D).

Step-by-step explanation:

Initial population of the deer $P_{0}$ = 4800

Decrease in the population of the deer after every 8 years = $\frac{1}{2}\times (\text{Initial population})$

Decrease in population is an exponential process, so the expression representing population will be,

$P_{t}=P_{0}(1-r)^x$

Where $P_{t}$ is the population after 'x' slots of 8 years.

r = fraction of decrease in the population

x = $\frac{\text{Number of years}}{8}$

By substituting the values of r and x in the expression,

$P_{t}=P_{0}(1-\frac{1}{2})^{\frac{t}{8}}$

$P_{t}=4800(\frac{1}{2})^{\frac{t}{8}}$

Therefore, Sylvia should do few corrections in her expression.

(8) should be replaced by ( $\frac{1}{2}$ ) and $\frac{t}{2}$ should be replaced by $\frac{t}{8}$ .

Option D. will be the answer.

5 0

3 years ago

Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at ran

ICE Princess25 [194]

Answer:

its in order from 2 to 3

Step-by-step explanation:

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3 years ago

Find the missing terms of this geometric sequence. HELP PLEASE

patriot [66]

I can't help u with this but I can give the formula tn=t1+(n-1)+d

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3 years ago