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weeeeeb [17]
3 years ago
9

Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of ∝

if ∝ < β. ?
sin(2x - 8) = cos(6x - 6)
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0
Sin(2x-8)=cos(90-2x+8)=cos(6x-6).
So 98-2x=6x-6, 104=8x, x=13.
2x-8=18, 6x-6=72. The smaller angle is 18 and the larger angle is 72.
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a coat that usually cause a hundred $123 is marked one third off what is the sale price of the coat round to the nearest dollar
Zarrin [17]
$123.00 1/3 off =.333

$123.00 x .333 = $41

123.00 - $41.00 = $82.

Sale Price = $83.00
4 0
4 years ago
Matthew opens a store credit card when he purchases a new sound system. The interest rate is 22.45%. He charges $4,120 to the ca
Nookie1986 [14]

Let

C----------------- > charges for the purchases to the credit card

<span>r------------------- > the interest rate    </span>

X------------------ > total cost of the purchase

 we know that

C=4120

r= 22.45%=0.2245

X=C*(1+r)

 substituting the values ​​in the formula

X=(4120)*(1+0.2245)= (4120)*(1.2245)=5044.94

 the answer is $5044.94


6 0
3 years ago
Read 2 more answers
Ava bought a collection of hardcover novels and paid $450 including sales tax the sales tax 10% How much was the price of collec
scoray [572]

Answer:

The price of collection of novels before taxes was <u>$409.10</u>.

Step-by-step explanation:

Given:

Ava bought a collection of hardcover novels and paid $450 including sales tax.

The sales tax is 10%.

Now, to find the price of collection of novels before taxes.

Let the price of collection of novels before sales tax be x.

The price of collection of novels including sales tax = $450.

Rate of sales tax = 10%.

Now, to get the price before sales tax by putting an equation:

x=450-10\%\ of\ x

x=450-\frac{10}{100} \times x

x=450-0.10\times x

x=450-0.10x

<em>Adding both sides by 0.10</em>x<em> we get:</em>

<em />1.10x=450<em />

<em>Dividing both sides by 1.10 we get:</em>

x=\$409.10.

Therefore, the price of collection of novels before taxes was $409.10.

5 0
3 years ago
Which inequalities correctly show the relationship between the numbers 13, −4, and −17?
lutik1710 [3]

Answer:

13 > -17 < -4

Step-by-step explanation

13 = postive number

-17 and -4 = negtive.

13 is greater than -17

Since negtive is oppistie of postive it goes backwards.

So -4 is greater than -17

(Im new to this so Im not sure if it is correct)

3 0
4 years ago
Juana is measuring two pyramids whose base are isosceles right triangles. The second pyramid has the same height, but has 9 time
Zigmanuir [339]

9514 1404 393

Answer:

  3 times the smaller triangle base

Step-by-step explanation:

The volume is proportional to the height and to the area of the base.

If the height is unchanged, the larger pyramid must have a triangular base with an area that is 9 times the smaller base area.

Since the bases are similar, the area ratio is the square of the side length ratio. The side lengths of the larger base triangle must be √9 = 3 times the side lengths of the smaller base triangle.

7 0
3 years ago
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