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zmey [24]
3 years ago
10

A rectangular book measures 18 x 9. What is the length of its diagonal? Round your answer to the nearest tenth

Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

20.1246118 or 20.12

Step-by-step explanation:

First draw the box with the diagonal, as you can see it is split into 2 equal right triangles. Now use the pythagorean theorem (a^2+b^2=c^2) to find the length of the diagonal

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On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid
adelina 88 [10]

Answer:

          L(t)=7600(5)^{t/2}

Explanation:

Amend the typos for better understanding:

<em />

  • <em>On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The locust population increases by a factor of 5 every 2 days, and can be modeled by a function, L, which depends on the amount of time, t (in days). Before the first day of spring, there were 7600 locusts in the population. Write a function that models the locust population t days since the first day of spring.</em>

<em />

<h2>Solution</h2>

A function that grows with a constant factor is modeled by an exponential function of the kind:

                                      F(x)=A\cdot (B)^x

Where A is the initial value, B is the constant growing factor, and x is the number of times the growing factor applies.

Since the population increases by a factor of 5 every 2 days, the power x of the exponential function is t/2, and the factor B is 5.

The initial popultaion A is 7600.

Thus, the function that models the locust population t days since the first day of spring is:

             L(t)=7600(5)^{t/2}

6 0
3 years ago
Helpppppppppppppppppppppppp
nirvana33 [79]
I’d say 21 and -1 :)
21 * -1 = -21
21 - 1 = 20
5 0
3 years ago
Read 2 more answers
If y = 124 and x = 12, find y when x = -24.
tatyana61 [14]

Answer:

y = -248

Step-by-step explanation:

Hi there!

Set up a proportion:

\displaystyle\frac{124}{12} =\frac{y}{-24}

Cross-multiply:

12y=(-24)(124)\\12y=-2976\\y=-248

I hope this helps!

7 0
2 years ago
−10x+3y=5 ASAP<br> x=y−4 ​ <br><br> x ?<br> y?
nexus9112 [7]

Answer:

x = 1 and y = 5

Step-by-step explanation:

Use substitution because you know that x = y - 4, and plug this into the first equation to get -10(y - 4) + 3y = 5, or -10y + 40 + 3y = 5. This is -7y = -35 so y = 5. Plug this into the 2nd equation to get that x = 1 and y = 5.

3 0
3 years ago
A cube has a volume of 512 cubic mm. If all sides of the cube ae divided by 4, what will the resulting volume be?
kotegsom [21]
Volume of a cube = s³ 

Therefore, s³ = 512, meaning that s = 8.

The question asks what the resulting volume would be if all sides of the cube were divided by 4.

The current side measures 8, and we know that 8/4 = 2.

Thus, the resulting volume = s³ = 2³ = 8 cubic mm.
6 0
3 years ago
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