Answer:
Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?
A. 125 B. 156 C. 192 D. 208 E.317
The volume of the toy is 125 cubic cm ,option A is the closest answer.
Step-by-step explanation:
Given:
A rectangular container .
Length of the container =8 cm
Width of the container = 6 cm
Height of the container when water is filled = 
= 4 cm
Height of the container when the toy is submerged = 
=6.6 cm
Volume of the toy = Volume of the container with the toy - Volume of the container (with water)
Volume of the toy = 
= 
= 
= 
= 
cubic centimeters.
So,the closest value to the volume of the toy is 125 cubic centimeters.
Answer:
x = 28 (So it takes 28 hours for the temperature to reach 0°C.)
y = -70 (So the temperature when the experiment begins is −70°C.)
Step-by-step explanation:
To find the the x value, you remove the y value or replace it with 0.
0 = 5/2x - 70
Next you move the variable.
70 (2/5) = x (multiply 70 by 2 to get 140 and divide that by 5)
And now you simplify to get:
28
To find the y value, you remove the x value or replace it with 0.
y = 0 - 70
And now you simplify to get:
-70
x = 28
y = -70
7/10 is bigger because it is more than half
Answer:
The intensity of the first earthquake is 6.31 times the second one
Step-by-step explanation:
The given formulae is M=log(
)
Here for both the earthquakes the value of S is same.
Let the Intensity of the first earthquake be I1 and the second be I2.
Given M1=7.5
M2=6.7
Now M1=log(
)------1
M2=log(
)-----2
Now subtract 1 and 2 we get
M1-M2=log(
)
I1/I2=
I1=I2(
I1=I2*6.31
We know that
In <span>a right triangle
c</span>²=a²+b²
where
a and b are the legs of triangle
c is the hypotenuse of the triangle
so
case 1)7,24,25
25²=7²+24²
25²-----> 625
7²+24²----> 625
625 is equal to 625----------> <span>form a right triangle
</span>
case 2) 7,23,24
24²=7²+23²
24²------> 576
7²+23²-----> 578
576 is not 578-------------> not form a right triangle
case 3) 7,25,26
26²=7²+25²
26²-----> 676
7²+25²-----> 674
676 is not 674-----> not form a right triangle
the answer is
7,24,25 form a right triangle
