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MAXImum [283]
2 years ago
13

Solve for x in simmilar triangles connected

Mathematics
1 answer:
amid [387]2 years ago
6 0

Step-by-step explanation:

You can figure out the missing side length by using proportions because the corresponding side lengths form a proportion. Let's write ratios that form a proportion and find the pattern to figure out the length of the missing side. Looking at this you can see the pattern

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1. a type of bamboo holds a Guinness world record for the fastest growing plant.is can grow 91cm a day. how fast in inches per h
nikdorinn [45]

1-

Given length is 91 cm

1 cm = 0.3937 inch

so, 91 cm = 91* 0.3937 = 35.826 inches

1 day = 24 hours

In 24 hours the bamboo grows = 35.826 inches

In one hour it will grow = \frac{35.826}{24}

= 1.492 inches per hour. Hence the bamboo grows 1.492 inches per hour.


2-

We have to convert hours and seconds in minutes.

1 hour = 60 minutes

so 10 hours = 60 * 10 = 600 minutes.

60 seconds = 1 minute

so 24 seconds = \frac{24}{60} = 0.4 minutes.

Now we have been given the total time as 10 hours, 39 minutes and 24 seconds

So adding all values in minutes, we get

600 + 39 + 0.4 = 639.4 minutes

So Saturn takes 639.4 minutes to complete one rotation

3-

Given equation is 0.4(30h)+30h

0.4(30h) represents the amount of tax Kimberly has to pay.





8 0
3 years ago
A fisher usually catches 540kg of anchovies off El Niño,the fisher caught 85% less fish. How many kilograms of fish did the fish
Nookie1986 [14]
The fisherman caught 365kg During El Niño. You subtract 540kg by 85.
7 0
3 years ago
A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What
klemol [59]

Answer:

The recoil velocity of the gun is 0.72\,\,\frac{km}{h}  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}

6 0
3 years ago
7x - 32+9x-8+5x - 27=180 <br> what’s x?
Nadya [2.5K]

Answer:

Fraction: x = 247/21

Decimal: 11.76

Mixed Number: 11 16/21

Step-by-step explanation:

Brainliest Please!!

4 0
3 years ago
Describe the graph that would be used to solve the equation-x^2 + 4 = x+2
Rzqust [24]

Answer:

The values of x are x = -2 and x= 1.

Step-by-step explanation:

The given equation -x²+4 = x+2 can be written in the form of two functions as

y = -x²+4 which is a function representing parabola and

y = x+2 which is a straight line.

Now we will solve the given equation to find their points of intersection on graph. Their points of intersections will be the answer.

-x²+4 = x+2

-x²+4-x = x+2-x

-x²-x+4 = 2

-x²-x+4-2 = 2-2

-x²-x+2 = 0

Or x²+x-2=0

Now we will factorize the equation.

x²+2x-x-2=0

x(x+2)-1(x+2) = 0

(x+2)(x-1) = 0

x+2 = 0 ⇒x = -2

x-1 = 0 ⇒x = 1

For x = 1, y will be 3

and for x = -2, y will be 0

Now we can see the graph for the given coordinates (-2,0) and (1,3).



5 0
3 years ago
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