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2 years ago

The diameter of a circle is 14 yards. What is the circle's circumference?

Mathematics

1 answer:

yarga [219]2 years ago

3 0

Answer:

The circle's circumference is equal to 14π yards.

General Formulas and Concepts:

Geometry

Circumference of a Circle Formula: C = πd

d is the diameter of the circle

Step-by-step explanation:

Step 1: Define

Identify.

d = 14 yds

Step 2: Find Circumference

Substitute in variables [Circumference Formula]: C = 14π yds

Topic: Geometry

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Explain why 13233345364715 is a composite no.

rodikova [14]

Answer:

A composite number has more than two factors. In this case, the number 13233345364715 has more than two factors, so it is composite.

Step-by-step explanation:

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3 years ago

On Friday, 80 children and 48 adults went to a movie. What was the ratio of children to adults? A 5 to 3 B 10 to 4 C 6 to 3 D 2

Setler79 [48]

A . Because one you make the ratio 80:48 you simplify (divide until you can divide anymore ).

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3 years ago

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What is the DOMAIN of this graph?

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Answer:

Is yellow

Step-by-step explanation:

an open circle for "less than" or "greater than", and a closed circle for "less than or equal to"

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3 years ago

Mei has 15 oranges, 9 peaches, and 18 pears. She wants to put all of the fruit into decorative baskets. Each basket must have th

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15,9,8 can be divided by 3
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3 years ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

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

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

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

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

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4 years ago