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2 years ago

Find the difference. Write you answer in simplest form. 9/10 - 4/10

Mathematics

1 answer:

enyata [817]2 years ago

6 0

Answer:

1/2

Step-by-step explanation:

hope it helps :)

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Two construction workers, Tyrone and Diego, are standing 15 yards apart, looking up at a piano hanging between the two men from

Yanka [14]

Answer:

The distance between Tyrone and the piano is 23.7 yards

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle P

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

∠T+∠D+∠P=180°

substitute the given values

65°+77°+∠P=180°

142°+∠P=180°

∠P=180°-142°=38°

step 2

applying the law of sines

$\frac{TD}{sin(P)}=\frac{TP}{sin(D)}$

substitute the given values

$\frac{15}{sin(38\°)}=\frac{TP}{sin(77\°)}$

$TP=\frac{15}{sin(38\°)}(sin(77\°))\\\\TP=23.7\ yd$

therefore

The distance between Tyrone and the piano is 23.7 yards

6 0

2 years ago

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?

Dennis_Churaev [7]

Answer:

$(x+4)^2 + (y-9)^2 = 25$

Step-by-step explanation:

To write the equation of a circle, use the formula $(x-h)^2+(y-k)^2 = r^2$ where the center of the circle is (h, k).

This means the equation is $(x--4)^2 + (y-9)^2 = r^2\\\(x+4)^2 + (y-9)^2 = r^2$ .

Find the radius r by dividing the diameter of 10 in 2. The radius is 5.

So the equation of the circle is $(x+4)^2 + (y-9)^2 = 25$

7 0

3 years ago

A restaurant uses 150 grams of ham on each sub sandwich that it sells. If the restaurant sells 50 sub sandwiches, how much ham w

Morgarella [4.7K]

If the restaurant uses 150 grams and then sells 50 sub sandwiches

The ham needed is 50 x 150 = 7500 gram = 7.5 kg

8 0

11 months ago

Write each statement as an algebraic expression.

12345 [234]

Just go through it phrase by phrase by phrase - one step at a time.

2*( )
2*(x - 7)
$\frac{2*(x - y)}{5*x*y}$

6 0

2 years ago

Write cubed root of x2 using a fractional exponent

SIZIF [17.4K]

$\sqrt[3]{x^2} = x^{ \frac{2}{3} }$

6 0

2 years ago