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Vladimir79 [104]

3 years ago

12

Find the area in square centimeters of the composite shape shown

1 answer:

Anon25 [30]3 years ago

8 0

Answer:

73cm²

Step-by-step explanation:

Area of rectangle=½ length×width

=½×18×7

=63cm²

Area of triangle=½b×h

base=18-13= 5cm

height=11-7 =4cm

½×b×h

½×5×4

=10cm²

Area of total=63+10

73cm²

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5• (4 • x ) simplified

Olegator [25]

Step-by-step explanation:

= 5 • ( 4• x )

= 5 ( 4x )

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2 years ago

If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest

lawyer [7]

Answer:

$3.5$

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, $c^2=a^2+b^2-ab\cos \gamma$ , where $a$ , $b$ , and $c$ are the three sides of the triangle and $\gamma$ is the angle opposite to $c$ .

Let $c$ be the side opposite to the 20 degree angle.

Assign variables:

$a\implies 4$
$b\implies 7$
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Substituting these variables, we get:

$c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}$

Therefore, the shortest side of this triangle is 3.5.

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2 years ago

Simplify sec(t)cot(t) to a single trig function or constant with no fractions

lana66690 [7]

Answer:

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2 years ago

Element X is a radioactive isotope such that every 90 years, its mass decreases by half. Given that the initial mass of a sample

steposvetlana [31]

Answer:

approximately 27 grams

Work Shown:

Half life formula

y = A*(0.5)^(x/H)

where,

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Let's plug the values for x, A and H into the formula to find y

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2 years ago

Explain how you would simplify the<br> following:

Juliette [100K]

Answer:

Step-by-step explanation:

185,000 $\\\sqrt{x}$

8 0

3 years ago

Read 2 more answers