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3 years ago

What is the perimeter of triangle ABC?

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

8 0

The perimeter is 30 for this answer I just did this yesterday. What you do is look at the top of the triangle the other side of where 6 is at is congruent and you do the same for 4 and 5

Gekata [30.6K]3 years ago

5 0

Answer:

The perimeter of triangle ABC is 30 units.

Step-by-step explanation:

Given information: AC, CB and BA are tangents.

According to the property of tangents from the same external point, the tangent segments to a circle are equal.

Using this property we can say that

$AD=FA=5units$

$EB=FB=4units$

$DC=CE=6units$

The perimeter of triangle ABC is

$perimeter=AC+CB+BA$

$perimeter=AD+DC+CE+EB+BF+FA$

$perimeter=5+6+6+4+4+5=30$

Therefore the perimeter of triangle ABC is 30 units.

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Lucy used 3 gal of paint to cover 900 ft. She needs to cover a total of 1,100 ft?.

insens350 [35]

Step-by-step explanation:

3 gal = 900 ft

... gal = 1100 ft

So, each gal is used for cover 300 ft,

Then,

$\sf \frac{1100}{900} \times 3 = \frac{11}{3} = \boxed{ \bold{ \red{3 \frac{2}{3} \: gal}}}$

We need <u>3 2/3 gal</u> to cover 1100 ft.

Hope it helps!

7 0

2 years ago

Is this the right answer?

Viktor [21]

Yes that is correctamundo..............

5 0

3 years ago

Read 2 more answers

5-2(m-3)=1 can y’all help me this is hard

Naddik [55]

Answer:

m = 5

Step-by-step explanation:

5 - 2 * (m - 3) = 1

5 - 2m + 6 = 1

-2m + 11 = 1

-2m = -10

2m = 10

m = 5

3 0

3 years ago

Maurice is making snacks for his friends by putting equal amounts of trail mix in each bag. He started with 4 4/5 cups, but his

sashaice [31]

Answer:

$\boxed{7}$

Step-by-step explanation:

1. Subtract what Maurice ate

4⅘ c

4⅗ c

2. Calculate the number of bags

$\text{Number of bags }= \dfrac{\text{Total volume}}{\text{Volume of each bag}} = 4\frac{3}{5} \div \frac{3}{5}$

(a) Convert the mixed number to an improper fraction

$4\frac{3}{5} \div \frac{3}{5} = \frac{23}{5}\div\frac{3}{5}$

(b) Invert the denominator and change division to multiplication

$\frac{23}{5}\div\frac{3}{5} = \frac{23}{5}\times \frac{5}{3}$

(c) Cancel the 5s

$\frac{23}{5}\times \frac{5}{3} = \frac{23}{3}$

(d) Convert the improper fraction to a mixed number.

$\frac{23}{3} = \mathbf{7\frac{2}{3}}\\\text{Maurice can make $\boxed{\mathbf{7}}$ complete bags of trail mix.}$

6 0

3 years ago

Please help!!!

Ilia_Sergeevich [38]

The composite shape's area is 61.12.

Step-by-step explanation:

Step 1; To calculate the value of the composite shapes area we first divide it into shapes whose areas we know. In this case, the composite shape consists of only a circle's half and a triangle attached below it. If we can sum the individual areas of the two shapes we should be able to determine the area of the unknown shape.

Step 2; The triangle has a base length of 8 as it is from (6, 10) to (14, 10) so 14 - 6 = 8 and the height is from (10,10) and (10,1) so the height is 10 -1 = 9. So the area of any given triangle is 0.5 times the product of its base length and height. So area of this triangle = 0.5 × 8 × 9 = 36. The circle is not an entire one but only half so we calculate the entire circle's area and then half it to find its area. The diameter is 8 as the circle's ends are at (6, 10) and (14, 10) and radius = 14 - 6 / 2 = 4. The area of any circle is π times the square of its radius. So area of this circle = π × r²/2= 3.14 × 4²/ 2 = 25.12.

Step 3; Now we calculate the given composite shapes area by summing the two areas i.e areas of the half-circle and the rectangle.

Area of the composite shape = 36 + 25.12 = 61.12.

6 0

3 years ago