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3 years ago

In rectangle ABCD diagonal AC is drawn. If measure angle DCA=30 degrees, find measure angle CAD?

2 answers:

8 0

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horrorfan [7]3 years ago

7 0

The measure angle CAD is 60 degrees

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a tower casts a 450 ft shadow at the same time that a 4 ft child casts a 6 ft shadow. Write and solve a proportion to find the h

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3 years ago

Write the standard form of the equation of the circle with center (7,1) that also contains the point (−1,−5).

Karo-lina-s [1.5K]

Answer:

$(x-7)^2+(y-1)^2=100$

Step-by-step explanation:

1) Find the radius

We can do this by using the distance equation with the centre (7,1) and the given point (-1,-5):

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ where the two points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the points (7,1) and (-1,-5)

$d=\sqrt{(-1-7)^2+(-5-1)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10$

Therefore, the radius of the circle is 10 units.

2) Plug the data into the equation of a circle

Equation of a circle (when not centred at the origin):

$(x-h)^2+(y-k)^2=r^2$ where the centre is $(h,k)$ and r is the radius

Plug in the centre (7,1) as (h,k)

$(x-7)^2+(y-1)^2=r^2$

Plug in the radius 10

$(x-7)^2+(y-1)^2=10^2\\(x-7)^2+(y-1)^2=100$

I hope this helps!

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3 years ago

a woman put $580 into a savings account for one year. the rate of interest on the account was 61 1/2%. how much was the interest

kogti [31]

The amount of interest earned from a specific investment can be calculated by multiplying the principal amount with the decimal equivalent of the given percentage or interest rate. That is,

I = P x i

Substituting the known values,

I = ($580)(0.615)

I = $356.7

Answer: $356.7

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3 years ago

89 x , 16x , -30x please show your work .

natima [27]

Answer:

Step-by-step explanation:

89x = 89 * x

16x = 2 * 2 * 2 * 2 * x

-30x = -1 * 2 * 5 * 3 * x

x is the only factor that is common in all three.

GCF = x

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3 years ago

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Jonah buys 1.09 of cheddar cheese , shown by the model.He also buys 1.38 pounds of mozzarella cheese. How much cheese does she b

madreJ [45]

2.47

1.09 + 1.38 = 2.47.

Hope this helps!

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3 years ago

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