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2 years ago

The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how

Mathematics

1 answer:

Artyom0805 [142]2 years ago

5 0

222inches I’m not shure but use photo math for the answer

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Find the value of x in the equation √ x + 5 = √ x + 45.

Ivanshal [37]

There is no solution since 5 doesn't equal 45

8 0

2 years ago

Two numbers that differ by 46

Reil [10]

the complete question is

Find two numbers whose difference is 46 and whose product is a minimum

Let

x------->larger number

y-------> smaller number

P-------> product of the two numbers

we know that

$x-y=46\\ y=x-46$ -----> equation 1

$P=x*y$ -----> equation 2

substitute equation 1 in equation 2

$P=x*[x-46]\\ P=x^{2} -46x$

using a graph tool

see the attached figure

Find the value of x for that the product P is a minimum

the vertex is the point $(23,-529)$

that means, for $x=23$

the product is a minimum $P=-529$

find the value of y

$y=x-46\\ y=23-46\\ y=-23$

therefore

the answer is

the numbers are $23$ and $-23$

7 0

2 years ago

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The earth is about 150 million kilometers from the sun. The orbit around the sun is not a perfect circle, but is approximately a

goldfiish [28.3K]

Answer:

x² + y² = (150,000,000)² is the answer

Step-by-step explanation:

3 0

2 years ago

A hot-air balloon is 140 ft140 ft above the ground when a motorcycle (traveling in a straight line on a horizontal road) pass

luda_lava [24]

Answer:

Step-by-step explanation:

Given

Balloon velocity is 14 ft/s upwards

Distance between balloon and cyclist is 140 ft

Velocity of motor cycle is 88 ft/s

After 10 sec

motorcyclist traveled a distance of $d_c=88\times 10=880 ft$

Distance traveled by balloon in 10 s

$d_b=14\times 10=140 ft$

net height of balloon from ground =140+140=280 ft[/tex]

at $t=10 s$

distance between cyclist and balloon is $z=\sqrt{280^2+880^2}$

$z=923.47 ft$

now suppose at any time t motorcyclist cover a distance of x m and balloon is at a height of h m

thus $z^2=(88t)^2+(14t+140)^2$

differentiating w.r.t time

$\Rightarrow z\frac{\mathrm{d} z}{\mathrm{d} t}=14\cdot \left ( 14t+140\right )+88\cdot \left ( 88t\right )$

$\Rightarrow at\ t=10 s$

$\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{14\cdot \left ( 14t+140\right )+88\cdot \left ( 88t\right )}{z}$

$\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{14\times 280+88^2\times 10}{923.471}$

$\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{81,360}{923.471}=88.102\ ft/s$

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2 years ago

Change the following numbers to decimals and round to the nearest hundredth <br> 5/9

love history [14]

Answer:

Answer: 5/9 as a decimal is 0.556.

6 0

2 years ago

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