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rodikova [14]
3 years ago
12

Can someone help and show the work please

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

<h2><em>A = 75 in²</em></h2>

Step-by-step explanation:

We have the rectangle and the right triangle.

The formula of an area of a rectangle:

<em>A = lw</em>

<em>l</em> - length

<em>w </em>- width

We have <em>l = 10 in</em> and <em>w = 5 in</em>. Substitute:

<em>A = (10)(5) = 50 in²</em>

The formula of an area of a triangle:

<em>A = 1/2 bh</em>

<em>b</em> - base

<em>h</em> - height

We have <em>b = 5 in</em> and <em>h = 5 in + 5 in = 10 in</em>. Substitute:

<em>A = 1/2(5)(10)=1/2(50)=25 in²</em>

The area of figure:

<h3><em>A = 50 in² + 25 in² = 75 in²</em></h3>
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Before Tax Price: $46.00
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Explain why the triangles are similar then find out the distance represented by x​
elena55 [62]

Because the only difference between them is size so the basic form of the shape remains, having corresponding sides in proportion.

<h2>Explanation:</h2>

Two triangles are similar if the only difference between them is size. Put another way, the basic form of the shape remains. If this is true, then:

  • Corresponding angles are congruent
  • Corresponding sides are in proportion

Since you didn't provide any graph, I have attached two similar triangles below. As you can see they are right triangles. As we said, corresponding sides of similar triangles are in proportion, so it is true that:

\frac{9}{3}=\frac{12}{4}=\frac{x}{5}=3 \\ \\ \therefore \frac{x}{5}=3 \\ \\ \therefore x=5(3) \\ \\ \therefore \boxed{x=15}

<h2>Learn more:</h2>

Right and scalene triangles: brainly.com/question/10379190

#LearnWithBrainly

8 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth. 5 10 ​
snow_lady [41]

Answer:

\boxed {\boxed {\sf 8.7}}

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

a^2 + b^2 =c^2

In this theorem, <em>a</em> and <em>b</em> are the legs of the triangle and <em>c</em> is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

  • b= 5
  • c= 10

Substitute the values into the formula.

a^2 + (5)^2 = (10)^2

Solve the exponents.

  • (5)²= 5*5 = 25
  • (10)²= 10*10= 100

a^2 + 25=100

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

a^2 +25-25=100-25

a^2=100-25

a^2 = 75

a is being squared. The inverse of a square is the square root, so we take the square root of both sides.

\sqrt {a^2}= \sqrt{75}

a= \sqrt{75}

a= 8.660254038

Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.

a \approx 8.7

The length of the third side is approximately <u>8.7</u>

4 0
3 years ago
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Curtis threw 15 darts at a dartboard.40% of his darts hit the bull’s eye.how many darts not hit the bulls eye?
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Answer:

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Step-by-step explanation:

The number of darts that failed to hit the bulls eye is 40% of 15 subtracted from 15

Since 40% of the darts hit the bulls eye .

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0.4 x 15

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This means that 6 darts hit the bulls eye.

Therefore,number of darts that did not hit the bulls eye is

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Alex17521 [72]

Answer:

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Step-by-step explanation:

It should be C since whenever something is explained by X, the number (which in this case is 3) will be negative on the X axis line. Hope I helped

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