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3 years ago

(20 points) Question from Similarity

Mathematics

1 answer:

Mariana [72]3 years ago

7 0

Answer:

45 is the anwser

Step-by-step explanation:

thank you

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The current of a river is 4 miles per hour. A boat travels to a point 30 miles upstream and back in 4 hours. What is the speed o

Kobotan [32]

If it took 4 miles per hour you multiply that twice cuss its traveling back then forth so you repeat the same process 30 miles times 2 which is 60 hope this helps.

5 0

3 years ago

Please help i don’t understand this

swat32

Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.

In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.

These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.

So, the two rectangles are similar if the following is true.

$4\div 5 = 11\div 12$

In any proportion, the product of the inner terms must be the same as the product of the outer terms:

$4\cdot 12 = 5\cdot 11 \iff 48=55$

This is clearly false, and thus the two rectangles are not similar.

5 0

3 years ago

The sum of two numbers is 85. twice one number plus four times the other is 218. find the numbers

Nina [5.8K]

X + y = 85
2x + 4y = 218
x = 85 - y
2(85 - y) + 4y = 218 
170 - 2y + 4y = 218 
170 + 2y = 218 
2y = 48 
y = 24 
x = 61

6 0

3 years ago

Hannah sold 48 flowers in 3 hours at the farmers market if she continues to sell at that rate how many flowers will she sell in

igomit [66]

First, find the rate of flowers bought per hour:
48 / 3 = 16 flowers per hour.
Then, to find the amount bought after 2 hours, multiply the 16 flowers per hour by 2.
16 * 2 = 32.
After 2 hours, she will have bought 32 flowers.

5 0

3 years ago

Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and

Anastaziya [24]

The problem is modelled in the first picture shown below

To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.

We use the cosine rule to work out the length AB
$AB^{2}= 75^{2}+ 150^{2}-(2*75*150*cos(60))$
$AB^{2} =28125-11250$
$AB^{2}=16875$
$AB= \sqrt{16875} =130$ (nearest whole number)

The third picture shows the full diagram of the vectors

To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B

Angle A
$\frac{130}{sin(60)}= \frac{75}{sin(A)}$
$130sin(A)=75sin(60)$
$sin(A)= \frac{75sin(60)}{130}$
$sin(A)=0.4996300406$
$A= sin^{-1}(0.4996300406)$
$A=30$ (rounded to nearest whole number)

Angle B
$B=180-60-30=90$

Direction is 60° toward negative x-axis

Answer: Magnitude 130N and direction 60° toward negative x-axis

3 0

4 years ago