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3 years ago

The ratio of the sale price of a jacket to the original price is 3:4. The original price is

1 answer:

mihalych1998 [28]3 years ago

3 0

$\cfrac{\textit{sale price}}{\textit{original price}}=\cfrac{3}{4}\implies \cfrac{\textit{sale price}}{64}=\cfrac{3}{4}$

solve for "sale price"

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We need to attach a support wire to Glendale's flagpole, which is 24 feet high. The

antoniya [11.8K]

Step-by-step explanation:

this creates a right-angled triangle.

the right angle (90°) being the angle between flag pole and ground.

the angle ground-wire is 50°.

because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is

180 - 90 - 50 = 40°

so, we have the situation to know 1 side and all angles.

to get the other sides we use best the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and related angles are always opposite of each other.

in our case now we have

24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft

so, the rounded answer is that the wire must be

31.3 ft long

4 0

2 years ago

What's the midpoint?

Sergio [31]

Answer: 39,950

Step-by-step explanation: To find median, add the two numbers and divide by two, and you shall get the Answer!!!

WATER!!

4 0

2 years ago

Read 2 more answers

What's the greatest number for 5,3,1,4,7

Black_prince [1.1K]

75431
Hope it helps you

6 0

2 years ago

Read 2 more answers

Hurry show your work

Nikolay [14]

Answer: $\huge\boxed{\boxed{15}}$

Step-by-step explanation:

Given expression

$\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }$

Simplify the exponents

$\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }$

Simplify values in the parenthesis

$\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }$

$\large\boxed{=\frac{12[5]}{|10|-|-6| } }$

Simplify absolute values (all positive)

$\large\boxed{=\frac{12[5]}{10-6 } }$

$\large\boxed{=\frac{12[5]}{4 } }$

Simplify by division

$\large\boxed{=3~[5]}$

Simplify by multiplication

$\huge\boxed{\boxed{=15}}$

Hope this helps!! :)

Please let me know if you have any questions

7 0

1 year ago

Integrate sin²2x cos²2x dx

DochEvi [55]

$\sin^2x=\dfrac{1-\cos2x}2$
$\cos^2x=\dfrac{1+\cos2x}2$

From the identities above, you have

$\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4$

Applying once more, you have

$\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8$

So,

$\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C$

7 0

2 years ago