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1 year ago

If the spinner is spun twice, find P(even, then square).

Mathematics

2 answers:

seraphim [82]1 year ago

7 0

Answer:

both wins because they have equal speed

nadya68 [22]1 year ago

4 0

Assuming the spinner is numbered 1–5 and has an equal chance of landing on any number, you have two independent probabilities, each 1 in 5.

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I need help with questions #7 and #8 plz

katen-ka-za [31]

Answer:

7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg

8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg

Step-by-step explanation:

Law of Cosines

$c^2 = a^2 + b^2 - 2ab \cos C$

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.

Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.

We use the law of cosines to find C.

$18^2 = 12^2 + 16^2 - 2(12)(16) \cos C$

$324 = 144 + 256 - 384 \cos C$

$-384 \cos C = -76$

$\cos C = 0.2$

$C = \cos^{-1} 0.2$

$C = 78.6^\circ$

Now we use the law of sines to find angle A.

Law of Sines

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

We know c and C. We can solve for a.

$\dfrac{a}{\sin A} = \dfrac{c}{\sin C}$

$\dfrac{12}{\sin A} = \dfrac{18}{\sin 78.6^\circ}$

Cross multiply.

$18 \sin A = 12 \sin 78.6^\circ$

$\sin A = \dfrac{12 \sin 78.6^\circ}{18}$

$\sin A = 0.6535$

$A = \sin^{-1} 0.6535$

$A = 40.8^\circ$

To find B, we use

m<A + m<B + m<C = 180

40.8 + m<B + 78.6 = 180

m<B = 60.6 deg

I'll use the law of cosines 3 times here to solve for all the angles.

Law of Cosines

$a^2 = b^2 + c^2 - 2bc \cos A$

$b^2 = a^2 + c^2 - 2ac \cos B$

$c^2 = a^2 + b^2 - 2ab \cos C$

Find angle A:

$a^2 = b^2 + c^2 - 2bc \cos A$

$8^2 = 18^2 + 12^2 - 2(18)(12) \cos A$

$64 = 468 - 432 \cos A$

$\cos A = 0.9352$

$A = 20.7^\circ$

Find angle B:

$b^2 = a^2 + c^2 - 2ac \cos B$

$18^2 = 8^2 + 12^2 - 2(8)(12) \cos B$

$324 = 208 - 192 \cos A$

$\cos B = -0.6042$

$B = 127.2^\circ$

Find angle C:

$c^2 = a^2 + b^2 - 2ab \cos C$

$12^2 = 8^2 + 18^2 - 2(8)(18) \cos B$

$144 = 388 - 288 \cos A$

$\cos C = 0.8472$

$C = 32.1^\circ$

8 0

2 years ago

Salma and coron broomall have reached an agreed upon price of $197,000. They plan to make a 30 percent down payment and finance

Sladkaya [172]

Answer:

1. The monthly payment is $689.5

2. The total amount to be paid is

$224,580.

Step-by-step explanation:

Salsa and Corn Broom all reached an agreement upon the price of $197,000.

- The plan on making a 30 percent down payment. This implies that the will pay 0.3 × $197,000 = $59,100

This leaves them with

$197,000 - $59,100

= $137,900 to pay.

The plan on financing this remaining amount at 6 percent for 20 years.

This means they will pay

0.06 × $137,900 = $8,274 for 20 years. This translates to the payment of $8,274 × 20 = $165,480 across the 20 years.

1. The monthly payment is the yearly payment divided by 12.

Which is $8,274 ÷ 12 = $689.5

2. The total amount to be paid is

$165,480 + $59,100

= $224,580.

6 0

2 years ago

What is the name for the total area of the surface of a solid?prism area net area surface area facial area

ivolga24 [154]

Answer:

Surface Area

Step-by-step explanation:

You are calculating the measurements for the surface of the prism. The interior is volume.

4 0

2 years ago

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How many edges does a rectangular prism have? 6 8 10 12

aleksley [76]

The answer is D or the fourth choice, 12

5 0

2 years ago

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ILL GIVE BRAINLIEST SHOW ALL WORK

RideAnS [48]

Answer:

9/20 mile^2

Step-by-step explanation:

9/10 x 1/2 = 9/20

3 0

2 years ago

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