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Alexandra [31]
3 years ago
13

What is the value of x?

Mathematics
1 answer:
Ivenika [448]3 years ago
8 0
32.5 degrees is the answer

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Step-by-step explanation:

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AB is perpendicular to CD . How many 90° angles are formed by the intersection?
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Perpendicular lines make a cross. There are 4 right angles. 
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In 2012, on average, about $9.46\times10^{-1}$ pound of potatoes was produced for every $2.3\times10^{-5}$ acre harvested. How m
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Answer:

4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre

Step-by-step explanation:

9.46 × 10⁻¹ pounds of potatoes were produced for every 2.3 × 10⁻⁵ acre harvested. The average pounds of potatoes harvested per acre would be pounds of potatoes/acres harvested =  9.46 × 10⁻¹ pounds/2.3 × 10⁻⁵ acre = 4.113 × 10 ⁻¹⁻⁻⁵ = 4.113 × 10⁵⁻¹ = 4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre.

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Sylvester measured his pulse and found that his heart beat at a rate of 80 beats a minute at rest. At this rate how many days wi
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3 years ago
Read 2 more answers
Find the area of a triangle when a = 19.2, A = 53.8°, and C = 65.4 Round to the nearest tenth.
Tju [1.3M]

Answer:

A=181.0\ units^2          

Step-by-step explanation:

step 1

Find the length side c

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute he given values

\frac{19.2}{sin(53.8^o)}=\frac{c}{sin(65.4^o)}

solve for c

c=\frac{19.2}{sin(53.8^o)}sin(65.4^o)\\\\c=21.6\ units

step 2

Find the measure of angle B

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

53.8^o+B+65.4^o=180^o\\B=180^o-119.2^o\\B=60.8^o

step 3

Find the area of the triangle

we know that

The area of the triangle applying the law of sines is equal to

A=\frac{1}{2}(a)(c)sin(B)

substitute the given vales

A=\frac{1}{2}(19.2)(21.6)sin(60.8^o)\\\\A=181.0\ units^2

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4 years ago
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