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3 years ago

Which is an example of a unit rate?

Mathematics

1 answer:

VashaNatasha [74]3 years ago

3 0

Answer:

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

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Rudik [331]

I think the answer here is 1/3.

1 being the cup of flour and 3 are the remaining cups of other ingredients.

3 0

3 years ago

An equilateral triangle with sides of length 6 is inscribed in a circle. What is the diameter of the Circle?

azamat

Answer:

The diameter is 6.92 unit.

Step-by-step explanation:

Given : An equilateral triangle with sides of length 6 is inscribed in a circle.

To find : What is the diameter of the Circle?

Solution :

First we picture the situation.

Refer the attached figure below.

We that the angles of equilateral triangle is 60 degrees.

Then, we divide the triangle into two parts to solve the radius.

As,

∠ACD is 60°

$\angle OCD=\frac{\angle ACD}{2}$

$\angle OCD=\frac{60}{2}=30^\circ$

In triangle OCD,

$\cos 30^\circ= \frac{CD}{OC}$

$\frac{\sqrt{3}}{2}=\frac{3}{r}$

$r=\frac{3\times 2}{\sqrt{3}}$

$r=2\sqrt{3}$

$r=3.4641$

Diameter = 2r=2(3.4641)=6.92 unit.

Therefore, The diameter is 6.92 unit.

7 0

3 years ago

Read 2 more answers

Oliver uses the greatest common factor and distributive property to rewrite this sum: 64+96

skad [1K]

32(2+3) because 32 goes into 64 twice and 96 three times

5 0

3 years ago

Read 2 more answers

Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8

pochemuha

No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.

6 0

3 years ago

Read 2 more answers

Please help fill in the blanks

Wewaii [24]

Answers:

Reason 4: Isosceles triangle

Reason 5: Segment Addition Postulate

Reason 6: Segment Addition Postulate

Reason 7: Substitution

Reason 8: Substitution

Reason 9: Subtraction property of equality

Reason 10: Definition of congruence

Reason 11: Vertical Angles Theorem

Reason 12: Vertical Angles Theorem

Reason 13: ASA (angle side angle) congruence theorem

==================================

Explanations:

Reason 4: Triangle DCE is an isosceles triangle because of statement 1 of the proof table. The congruent base angles lead to congruent opposite sides.

Reason 5 and 6: This is the idea of breaking any segment into smaller pieces. The smaller pieces glue back together to get the larger original segment.

Reasons 7 and 8: Substitution is a math term which means "replacement". So for instance, in line 7 we started with DB = DC + CB (from line 6), then we replaced the "DB" with "DF" (see line 3); and then replaced "DF" with "DE+EF"

Reason 9: In this step, we subtract DE from both sides to have it go away and cancel out

Reason 10: If two lengths are equal, then the segments are congruent

Reason 11 & 12: Two angles are vertical if they are opposite from one another after forming from two lines crossing. Think of an X shape. Vertical angles are congruent.

Reason 13: We have two pairs of congruent angles, and a pair of congruent sides. The sides are between the angles. The order is important. See the attached image below.

3 0

4 years ago