Explain concept of base-ten blocks to 4.9÷7=

If you roll two fair six-sided dice, what is the probability that at least one die shows a 333?

Vesna [10]

Answer:

1/3(0.3333333333%)

Step-by-step explanation:

There are six sides, and you can only land on one at a time on each die, so there is a one-in-three chance of landing on a three.

6 0

3 years ago

Read 2 more answers

garrett wants to build an addition to his living room. the room currently has a length of 13 feet and width of 10 feet. if he cr

marta [7]

Answer: $1,170ft^2$

Step-by-step explanation:

We know that the area of the living room can be calculated with the formula for find the area of a rectangle. This formula is:

$A_1=l_1*w_1$

Where:

$l_1$ is the lenght of the original living room, and $w_1$ is the width of the original living room.

If he creates the addition that causes the dimensions to triple, then the new area of Garrett’s living room is:

$A_2=(3l_1)(3w_1)\\A_2=(3*13ft)(3*10ft)\\A_2=1,170ft^2$

4 0

3 years ago

I need help with number 1

Marianna [84]

Answer:

1a. 0< -4 false

1b. -3> or = -7 true

1c. 4<= -1/2 false

8 0

3 years ago

to estimate the height of the jin mao tower in shanghai , a tourist sights the top of the tower form a mirror that is 86.7 meter

Ray Of Light [21]

Answer:

The height of the tower = 420.48 meters

Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

Let the height of the tower be x meters

Now, using the laws of reflection : angle of reflection = angle of incidence

Also, both the tower and the tourist are standing parallel to each other

⇒ ∠A = ∠i ( Alternate interior angles are equal)

Similarly, ∠D = ∠r ( Alternate interior angles)

But, ∠i = ∠r

⇒ ∠A = ∠D

Also, the tourist and the tower is perpendicular to the ground surface.

⇒ m∠B = m∠E = 90°

Now, in ΔABC and ΔDEC

∠A = ∠D (Proved above)

m∠B = m∠E = 90°

So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC

As the sides of similar triangles are proportional to each other

$\frac{AB}{DE}=\frac{BC}{EC}\\\\\implies\frac{1.92}{x}=\frac{0.4}{87.6}\\\\\implies x=\frac{87.6\times 1.92}{0.4}\\\\\bf\implies x = 420.48\textbf{ meters}$

Hence, The height of the tower = 420.48 meters

5 0

3 years ago

The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original

Hitman42 [59]

<u>Answer:</u>

The denominator of a fraction is 4 more than the numerator. The original fraction is $\frac{27}{31}$

<u>Solution:</u>

Given that

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is $\frac{6}{7}$

$=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}$

Solving above equation for x

=> 7(x – 3 ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

$\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}$

$= \frac{27}{31}$

Hence the original fraction is $\frac{27}{31}$

7 0

3 years ago