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1 year ago

What is the decimal equivalent of each rational number a.7/20 b.-23/20 c.1/18 d.-60/22

Mathematics

1 answer:

Eva8 [605]1 year ago

4 0

Answer:

a. 0.35

b. -1.15

c. 0.056

d. -2.727

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In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,

Elina [12.6K]

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒ $\frac{Sin E}{e} =\frac{Sin F}{f}$

On substituting the values, we get

⇒ $\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}$

On applying cross multiplication, we get

⇒ $SinF=\frac{610\times Sin 70^{\circ}}{590}$

On substituting the values, we get

⇒ $=\frac{61\times 0.95969262}{59}$

⇒ $=\frac{57.3212499}{59}$

⇒ $=0.971546608$

now,

⇒ $F=Sin^{-1}(0.971546608)$

⇒ $=76^{\circ}$

4 0

3 years ago

Chris made hamburgers for his family and they each had a diameter of 3 in. If he made 16 hamburgers.

Alenkasestr [34]

Answer:

The total area for all 16 hamburgers is 113.04 in².

Step-by-step explanation:

Given:

Chris made hamburgers for his family and they each had a diameter of 3 in.

If he made 16 hamburgers.

Now, to find the total area for all 16 hamburgers.

So, the diameter 3 in is given and we need first to find the radius:

$Radius\ (r)=\frac{Diameter}{2} =\frac{3}{2} =1.5\ in.$

Now, to get the area of a hamburger we put formula:

(Taking the value of π = 3.14.)

$Area=\pi r^2\\\\Area=3.14\times (1.5)^2\\\\Area=3.14\times 2.25\\\\Area=7.065\ in^2.$

Now. to get the total area of 16 hamburgers by multiplying 16 by the area of a hamburger:

$7.065\times 16\\\\=113.04\ in^2.$

Therefore, the total area for all 16 hamburgers is 113.04 in².

7 0

2 years ago

9-5(4-2) -------------- 3+5

nirvana33 [79]

Answer:

-1/8

Step-by-step explanation:

9-5(4-2)

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

3+5

First do the parentheses

9-5(2)

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

3+5

Then calculate the top and bottom of the fraction

We need to multiply and divide first

9-10

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

3+5

-1

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

5 0

3 years ago

she sells 6adult tickets and 5 children tickets on the first day totaling $112.50 and on the second day she sells 8adult tickets

Leya [2.2K]

Answer:

Cost of adult ticket = $12.5

Cost of child ticket = $7.5

Step-by-step explanation:

Given:

Cost of 6 adult ticket and 5 child ticket = $112.5

Cost of 8 adult ticket and 4 child ticket = $130

Find:

Equation and solution

Computation:

Assume;

Cost of adult ticket = a

Cost of child ticket = b

So,

6a + 5b = 112.5....eq1

8a + 4b = 130 ......eq2

Eq2 x 1.25

10a + 5b = 162.5 .....eq3

eq3 - eq1

4a = 50

Cost of adult ticket = $12.5

8a + 4b = 130

8(12.5) + 4b = 130

Cost of child ticket = $7.5

7 0

2 years ago

15=5k-13 whats the letter

Marina86 [1]

Answer:

k= 5.6

Step-by-step explanation:

7 0

3 years ago