All categories

2 years ago

Solve for y 13.5 12 9 10.5

Mathematics

2 answers:

leonid [27]2 years ago

8 0

Answer:

y = 9

Step-by-step explanation:

1. We know that the line the angles fall on is a straight angle, meaning it's worth 180°.

2. Given the information above, 8y + 96 + 12 = 180.

3. (Solving equation above).

Step 1: Simplify both sides of the equation.

$(8y)+(96+12)=180$
$8y + 108=180$

Step 2: Subtract 108 from both sides.

$8y + 108 - 108 = 180 - 108$
$8y = 72$

Step 3: Divide both sides by 8.

$\frac{8y}{8}=\frac{72}{8}$
$y = 9$

Step 4: Check if solution is correct.

$8(9)+96+12=180$
$72+96+12=180$
$168+12=180$
$180=180$

Therefore, y = 9.

mariarad [96]2 years ago

7 0

The answer is 9 because I did the math

You might be interested in

What is the price of a $60.00 jacket after an 18% markup?

lorasvet [3.4K]

Answer:

$70.80

Step-by-step explanation:

60 x 18% = 10.80

$60.00 + $10.80 = $70.80

6 0

3 years ago

Read 2 more answers

Is 0.343434 an irrational or rational?

Yuki888 [10]

Answer:

irrational

Step-by-step explanation:

a rational number is always a whole number

8 0

3 years ago

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

7 0

3 years ago

The fifth graders were given sandwiches for lunch during your field trip Nathan ate 5 out of 6 leroy ate 7 out of 8 of his sandw

Scorpion4ik [409]

Answer:

Step-by-step explanation:

The fifth graders were given sandwiches for lunch during their field trip. Nathan ate 5/6 of his sandwich, Leroy ate 7/8 of his sandwich, and Sofia ate 5/8 of her sandwich. Who ate the greatest amount of their sandwich? ... Nathan ate 20/24, Leroy ate 21/24, and Sofia ate 15/24 meaning Leroy ate the most.

5 0

3 years ago

Read 2 more answers

Mrs.mayfields class sold a total of 7293 lollipops for 2.00 each they bought the lollipops for 1.00 each. how much profit did th

Akimi4 [234]

$7293 I think....

7293 x 2 = 14586 / 2 = 7293

6 0

3 years ago