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yan [13]
1 year ago
6

As an estimation we are told £3 is €4. Convert £18 to euros.

Mathematics
1 answer:
Yuri [45]1 year ago
5 0

Answer:

€24

Step-by-step explanation:

We can use ratios to solve this.

3:4 = 18:x

Cross multiply: 3x = 18*4

Divide: x = 18*4/3

Simplify: x = 6*4 = 24

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If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?
mixer [17]

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

4 0
2 years ago
Monica's rectangular living room is 12 ft by 15 ft. She has a square rug that covers 5/9 of the area of the floor. What is the s
GarryVolchara [31]
10 ft i think. 5/9 of 180 (which is 12 x 15) is 100 and 10 x 10 is 100
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=5%28sin%28t%29%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%2Bycos%28t%29%29%29%3Dcos%28t%29%20%20%28sin%28
Nataliya [291]
Assuming you mean

5\sin t\dfrac{\mathrm dy}{\mathrm dt}+5y\cos t=\cos t\sin^2t

This ODE is linear in y, and you can already contract the left hand side as the derivative of a product:

\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t

Integrating both sides with respect to t yields

5y\sin t=\displaystyle\int\cos t\sin^2t\,\mathrm dt
5y\sin t=\dfrac13\sin^3t+C
y=\dfrac1{15}\sin^2t+C\csc t

Given that y\left(\dfrac\pi2\right)=9, we have

9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2
9=\dfrac1{15}+C
C=\dfrac{134}{15}

so that the particular solution over the interval is

y=\dfrac1{15}\sin^2t+\dfrac{134}{15}\csc t
6 0
3 years ago
Which polynomial represents the area of the rectangle
Serga [27]

Answer : The polynomial represents the area of the rectangle is, 4x² -2x - 6

Step-by-step explanation :

As we are given that:

Length of rectangle = 4x - 6

Width of rectangle = x + 1

Formula used:

Area of rectangle = Length × Width

Now putting all the given values in this formula, we get:

Area of rectangle = (4x - 6) × (x + 1)

Area of rectangle = 4x² + 4x - 6x - 6

Area of rectangle = 4x² -2x - 6

Hence, the polynomial represents the area of the rectangle is, 4x² -2x - 6

6 0
3 years ago
Evaluate the expression.   [(3–5)(34)]3 1 Innermost group, apply the product of powers: [3–1]3 2 Apply the power of a power:    
Rainbow [258]

Answer:

<h2>27</h2>

Step-by-step explanation:

The answer on edge

8 0
3 years ago
Read 2 more answers
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