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2 years ago

An egg carton holds 12 eggs. A breakfast buffet uses 96 eggs by

Mathematics

1 answer:

Blizzard [7]2 years ago

4 0

Answer:

13 Cartoons

Step-by-step explanation:

As, in 1 cartoon = 12 eggs

x cartoon = 156

X = 156 / 12

X = 13

Therefore, 13 Cartoons were used after 10:30 am

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Find the value of each variable.<br>

V125BC [204]

Answer:

see explanation

Step-by-step explanation:

Using the exact values of the trigonometric ratios

sin60° = $\frac{\sqrt{3} }{2}$ , cos60° = $\frac{1}{2}$

sin45° = cos45° = $\frac{1}{\sqrt{2} }$

Using the sine ratio on the right triangle on the left

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{4\sqrt{3} }$ = $\frac{\sqrt{3} }{2}$

Cross- multiply

2a = 4 $\sqrt{3}$ × $\sqrt{3}$ = 12 ( divide both sides by 2 )

a = 6

Using the cosine ratio on the same right triangle

cos60° = $\frac{adjacent}{hypotenuse}$ = $\frac{c}{4\sqrt{3} }$ = $\frac{1}{2}$

Cross- multiply

2c = 4 $\sqrt{3}$ ( divide both sides by 2 )

c = 2 $\sqrt{3}$

------------------------------------------------------------------------------------------

Using the sine/cosine ratios on the right triangle on the right

sin45° = $\frac{a}{b}$ = $\frac{6}{b}$ = $\frac{1}{\sqrt{2} }$

Cross- multiply

b = 6 $\sqrt{2}$

cos45° = $\frac{d}{b}$ = $\frac{d}{6\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$

Cross- multiply

$\sqrt{2}$ d = 6 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

d = 6

------------------------------------------------------------------------------------------------

a = 6, b = 6 $\sqrt{2}$ , c = 2 $\sqrt{3}$ , d = 6

3 0

2 years ago

ZDFG and LJKL are complementary angles. DFG = x + 1, and JKL = x - 7. Find the

Step2247 [10]

I think the answer is D

7 0

2 years ago

I NEED HELP PLEASE!!!

Dafna1 [17]

Answer c or $31.08 is correct:)

5 0

2 years ago

Read 2 more answers

A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?

Anastaziya [24]

Answer:

$\text{A)}\qquad (x-2)^2+(y+1)^2=16$

Step-by-step explanation:

The formula for a circle of radius r centered at (h, k) is ...

(x -h)^2 +(y -k)^2 = r^2

Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...

(x -2)^2 +(y -(-1))^2 = 4^2

(x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A

7 0

2 years ago

(Need help) (ASAP) <br><br> Point: 18

Anastasy [175]

Answer:

Step-by-step explanation:

7 0

2 years ago