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4 years ago

A triangle with angles of x, y and 60 degrees.

Mathematics

1 answer:

vagabundo [1.1K]4 years ago

6 0

Answer:

Y=80, X=40

Step-by-step explanation:

A triangle has 180 degrees total. 180-60=120. Since y=2x, y=80 and x=40. Hope I helped!

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Find the exact values of sin(u/2) cos(u/2) and tan(u/2) given sin u=24/25 and pie/2 < u < pie

vlada-n [284]

Recall the double/half angle formulas:

$\cos^2\dfrac x2=\dfrac{1+\cos x}2$

$\sin^2\dfrac x2=\dfrac{1-\cos x}2$

We're given $\sin u=\frac{24}{25}$ , and since $u$ is between π/2 and π, we expect $\cos u$ to be negative. So from the Pythagorean identity, we find

$\sin^2u+\cos^2u=1\implies\cos u=-\sqrt{1-\sin^2u}=-\dfrac7{25}$

Also, we know $\frac u2$ will fall between π/4 and π/2, so both $\sin\frac u2$ and $\cos\frac u2$ will be positive. Then we find

$\cos\dfrac u2=\sqrt{\dfrac{1+\cos u}2}=\dfrac35$

$\sin\dfrac u2=\sqrt{\dfrac{1-\cos u}2}=\dfrac45$

and it follows that

$\tan\dfrac u2=\dfrac{\sin\frac u2}{\cos\frac u2}=\dfrac43$

8 0

4 years ago

Peanuts sell for $3 per pound. Cashews sell for $6 per pound. How many pounds of cashews should be mixed with 12 pounds of peanu

Phantasy [73]

Answer:

Step-by-step explanation:

12*3+6x=4.20(12+x)

36+6x=50.4+4.2x

6x-4.2x=50.4-36

1.8x=14.4

x=14.4/1.8

x=8 pounds of cashews is used.

Proof:

12*3+6*8=4.2(12+8)

36+48=4.2*20

84=84

(not mine)

from algebra.com

6 0

3 years ago

The Dropdown boxes are Equal and Not Equal

Lubov Fominskaja [6]

I believe they are equal

7 0

3 years ago

A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years

dedylja [7]

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

$amount = principal(1 + (r \n))^({n}{t})$

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

8 0

4 years ago

Amiraneli [1.4K]

3x+x=96

(4x=96)/4

x=24

3(24)=72

Hector is 24 and his grandma is 72.

hope this helps!

6 0

3 years ago