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3 years ago

The polygons below are similar. Find the scale factor of the SMALLER figure to the LARGER.

Mathematics

1 answer:

abruzzese [7]3 years ago

6 0

Answer:

A. 5:6

Step-by-step explanation:

The scale factor of the smaller figure to the larger = the ratio of a side of the smaller figure to the corresponding side of the larger figure.

Thus, side length of 25 units of the smaller figure corresponds to the side length of 30 units.

Therefore:

Scale factor = 25:30

Simplify

Scale factor of the smaller figure to the larger = 5:6

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Solve : <br>4² ( 4³ )<br>with work shown

stepan [7]

Answer:

1024

Step-by-step explanation:

4²(4³)

4×4(4×4×4)

16(16×4)

16(64)

16×64

=1024

7 0

3 years ago

For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at

GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

$\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}$ $\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}$

Now, let's add the components of the same direction:

$\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}$

To find the resultant bearing (theta), we can use the formula below:

$\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}$

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0

2 years ago

Peppermint patty is very discourged about her chances on a 10-item true-false quiz. if she randomly answers each question, what

Alexeev081 [22]

Who names their child peppermint patty, I mean the candy is good but you gotta be pretty devoted to it to do that.

6 0

3 years ago

Read 2 more answers

A bakery wants to determine how many trays of doughnuts it should prepare each day. Demand is normal with a mean of 5 trays and

Alexeev081 [22]

Answer:

4 trays should he prepared, if the owner wants a service level of at least 95%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5

Standard Deviation, σ = 1

We are given that the distribution of demand score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X > x) = 0.95

We have to find the value of x such that the probability is 0.95

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 5}{1})=0.95$

$= 1 -P( z \leq \displaystyle\frac{x - 5}{1})=0.95$

$=P( z \leq \displaystyle\frac{x - 5}{1})=0.05$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 5}{1} = -1.645\\x = 3.355 \approx 4$

Hence, 4 trays should he prepared, if the owner wants a service level of at least 95%.

3 0

4 years ago

Can you please answer everything. What fraction every letter on their can run in a minute. Reward brainiest answer: 15 points

oksian1 [2.3K]

Student B:
1/2 / 4
= 1/2 x 1/4
= 1/8

student A:
2/3 / 6
= 2/3 x 1/6
= 1/9

student C:
4/5/ 8
= 4/5 x 1/8
= 1/10

answer
student B: 1/8 of a mile per minute
student A: 1/9 of a mile per minute
student C: 1/10 of a mile per minute

8 0

3 years ago