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4 years ago

Given a=8, b=7 and c =6, use the law of cosines to solve the triangle for the value of C. Round answer two decimal.

Mathematics

1 answer:

igomit [66]4 years ago

3 0

Answer:

B) 46.67°

Step-by-step explanation:

Step 1 : Write the cosine formula to find the angle C

c² = a² + b² - 2ab cos C

Step 2 : Substitute the values in the formula

6² = 7² + 8² - 2(8)(7) cos C

cos C = 0.6875

C = cos^-1 (0.6875)

C = 46.567 °

Step 3 : Round off to 2 decimal places

Angle C = 46.57°

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Answer = b. 7

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3 years ago

The owner of a music store received a shipment of stereos at a cost of $160 each. What will the selling price be if he applies a

kumpel [21]

The selling price will be $232 if he applies a 45% markup.

Step-by-step explanation:

Cost of each stereo = $160

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Keywords: addition, markup

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3 years ago

There are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch

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Answer:

1.2 cups

Step-by-step explanation:

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2 years ago

Write an equation in slope-intercept form of a line that contains point (-4, 6)

I am Lyosha [343]

Answer:

y = -2x - 2

Step-by-step explanation:

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3 years ago

Erik's disabled sailboat is floating at a stationary location 3 miles east and 3 miles north of Kingston. A ferry leaves Kingsto

irakobra [83]

Answer:

(a)6.82mph

(b)22 ft/sec

Step-by-step explanation:

Eric's Speed = 10 ft/sec

The Ferry's Speed = 15 miles per hour

<u>Conversion Unit</u>

1 mile = 5280 feet
1 hour = 3600 seconds

<u>Guide</u>

When converting from a smaller unit to a larger unit we divide
When converting from a larger unit to a smaller unit we multiply

(a)To convert Eric's Speed 10 ft/sec to miles per hour

$\dfrac{10 \:ft}{seconds} =\dfrac{10 \div 5280 \:miles}{1 \div 3600\: hour} \\=6.82 miles \:per\: hour$

(b)To convert the Ferry's Speed 15 mph to ft/sec

$\dfrac{15 \:miles}{hour} =\dfrac{15 X 5280 \:foot}{1 X 3600\:seconds} \\=22 foot \:per\: seconds$

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3 years ago