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Nezavi [6.7K]
2 years ago
15

2.314 divided by 1.3

Mathematics
1 answer:
kirza4 [7]2 years ago
5 0
1.78 is the correct answer.
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It takes one week for a crew of workers to pave 3/5 kilometer of a road. At that rate, how long will it take to pave 1 kilometer
kondaur [170]

1 kilometer =5/3 week

Step-by-step explanation:

Given that the crew paves 3/5 kilometer of a road in 1 week then this can be written as;

3/5 k = 1 week

For 1 kilometer of a road,

3/5k = 1 week

1k=?

perform cross product as;/multiplication equation

1*1 / 3/5

1*5/3

5/3, 1 2/3 weeks

A division equation will be'

3/5 kilometers = 1 week

Divide both sides by 3/5

1 kilometer =5/3 week

Learn More

Multiplication /Division :brainly.com/question/11892889

Keywords: kilometers, equation, multiplication.division

#LearnwithBrainly

4 0
2 years ago
Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?
wolverine [178]

<u>ANSWER</u>

9\:   < x  \leqslant0

<u>EXPLANATION</u>

The given compound inequality is

- 33 \:  >  - 3x - 6 \geqslant  - 6

We need to simplify this inequality so that we can obtain x standing alone between the inequality signs.

We add 6 through out the inequality.

- 33  + 6\:  >  - 3x - 6 + 6 \geqslant  - 6 + 6

This simplifies to:

- 27\:  >  - 3x \geqslant  0

We now divide through by -3 and reverse the inequality sign.

\frac{- 27}{ - 3} \:   <   \frac{ - 3x}{ - 3}   \leqslant    \frac{0}{ - 3}

We now simplify to get:

9\:   < x  \leqslant    0

6 0
2 years ago
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
2 years ago
Read 2 more answers
your friend deposits $9500 in an investment account that earns 2.1% annual interest. what is the balance after 11 years when the
solmaris [256]

Answer:

The answer is "$ 11,961.43"

Step-by-step explanation:

Given values:

P =  $ 9500

r= 2.1 %

time (t)= 11 year

total quarterly year =4

Formula:

A= P (1+\frac{r}{n})^{nt}\\\\

quarterly time = 4 \times 11

                         = 44

A= P (1+\frac{r}{n})^{nt}\\\\

A = 9500 ( 1+ \frac{0.021}{4})^{44}\\\\A = 9500(\frac{4+ 0.021}{4} )^{44} \\\\A = 9500(\frac{4.021}{4} )^{44} \\\\A= 9500 (1.00525)^{44}\\\\A= 9500(1.25909819)\\\\A= 11,961. 43\\

8 0
1 year ago
David proved the Law of Cosines with reference to ∆ABC using a different method. Arrange the steps of his proof in the correct s
AURORKA [14]

Answer: We can arrange the steps with help of below explanation.  

Step-by-step explanation:

Here ABC is a triangle,

Draw a perpendicular from BD to side AC ( construction)

where D\in AC

In the right triangle BCD, from the definition of cosine:

cos C =CD/ BC

CD= a cos C

Subtracting this from the side b, we see that

DA= b-acos C  

In the triangle BCD, from the definition of sine:

sin C =BD  / a

BD = a sin C  

In the triangle ADB, applying the Pythagorean Theorem

c^2  =BD^2 +DA^2  

Substituting for BD and DA from (2) and (3)

c^2 =(asinC)^2 +(b-acosC)^2  

⇒c^2 =a^2sin ^2C+b^2-2ab cosC+a^2 cos ^2C   ( On simplification)

⇒c^2 =a^2sin ^2C+a^2 cos ^2C+b^2-2abcos C

⇒c^2=a^2(sin^2C+cos^2C) +b^2-2abcosC

⇒c^2 = a^2+b^2-2abcosC (because,sin^2\theta+cos^2\theta =1 )


3 0
2 years ago
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