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2 years ago

13

Raj is a champion marathon runner. He has measured the length of his practice route around his neighborhood and found that it is

6 3/5of a mile long. This afternoon he ran this route 3 2/3times before stopping. How many miles did he run? Write your answer as a mixed number!

1 answer:

Kaylis [27]2 years ago

3 0

Answer:

24 1/5

Step-by-step explanation:

Multiply 6 3/5 x 3 2/3

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Which system is equivalent to

levacccp [35]

Answer:

a

Step-by-step explanation:

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2 years ago

Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4.

meriva

Answer:

Option C.

Step-by-step explanation:

The given logarithmic equation is

$\log_2(x+11)=4$

It can be written as

$(x+11)=2^4$ $[\because log_ax=y\Leftrightarrow x=a^y]$

$x+11=16$

$x=5$

Now, to check whether $x=5$ is a true solution or not. Substitute $x=5$ in the LHS of given equation.

$LHS=\log_2(5+11)$

$LHS=\log_2(16)$

$LHS=\log_22^4$

$LHS=4$ $[\because log_aa^x=x]$

$LHS=RHS$

Hence, $x=5$ is a true solution because $\log_2(16)=4$ .

Therefore, the correct option is C.

5 0

2 years ago

Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4

Mamont248 [21]

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

$Hypotenuse^2=Perpendicular^2+Base^2$

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

$Hypotenuse^2=8^2+12^2$

$Hypotenuse^2=64+144$

$Hypotenuse^2=208$

Taking square root on both sides, we get

$Hypotenuse=\sqrt{208}$

$Hypotenuse=14.422205$

$Hypotenuse\approx 14.4$

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

4 0

2 years ago

Jill is going to multiply a whole number greater than zero by 5. The last digit in the product will either be 0 or what other nu

IRINA_888 [86]

Every number times 5 the last digital number will be 5 or 0

8 0

2 years ago

((Image Included))

Bas_tet [7]

Answer:

=204.13 inches.

Step-by-step explanation:

Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.

Sin 30 =x/hypotenuse.

sin 30 = 27/hyp

hyp= 27/sin 30

=54 inches

We can also find the adjacent as follows.

Cos 30 = adjacent/ 54

Adjacent= 54 cos 30

=46.77 inches

Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.

sin 45= x/hypotenuse

sin 45 =27/hypotenuse

hypotenuse = 27/sin 45

=38.18 inches

The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.

Perimeter = 54+ 46.77+27+ 38.18+38.18

=204.13 inches.

6 0

2 years ago

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