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Mandarinka [93]
3 years ago
13

Translate the phrase into a variable expression. Use the letter sto name the

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0

Answer:

The statement

the product of 60 and the number of seconds is written as

60 * s

Hope this helps you

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The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

=2(1.875)

The length of a Diameter is 3.714

7 0
3 years ago
Read 2 more answers
How many time greater is 7,000 than 700?
PIT_PIT [208]
700•10 is 7000 so
10 times
6 0
3 years ago
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Chapter 2
Mashutka [201]

Answer:

11.20

Step-by-step explanation:

Multiply both equations by 100:

19.99=1999

8.79=879

1999-879=1120

Divide by 100:

1120/100=11.20 saved ................

5 0
3 years ago
At the coffee shop, the ratio of cups of coffee sold to muffins was 2:7. If the shop sold 84 muffins, how many cups of coffee di
neonofarm [45]

Answer:

24

Step-by-step explanation:

84 divided by 7 equals 12.

12x2=24.

24 cups of coffe were sold.

8 0
3 years ago
Leanne jumped a distance of 3 feet 8 inches. Monica jumped a distance of 4 feet 6 inches. How many more inches did Monica jump t
mote1985 [20]

Answer:

10 more inches

Step-by-step explanation:

6 0
2 years ago
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