Answer:
5 hours
Step-by-step explanation:
Step one:'
given data
Angelo charges a one time fee of $50 plus $15 per hour
let the total charge be y
and the number of hours be x
y= 50+15x----------------1
Deborah charges a one time fee of $25 plus $20 per hour
y= 25+20x----------------2
equate 1 and 2 to find x
50+15x=25+20x
collect like terms
50-25= 20x-15x
25= 5x
divide both sides by 5
x= 25/5
x= 5 hours
Answer:
Step-by-step explanation:
Given:
Simplify The given choice.
Therefore, the first option 
is correct.
Dimensions of the rectangular prism: a=1/2 inches, b=2 inches, c=7/2 inchesVolumen of the rectangular prism: Vr=abcVr=(1/2 inches)(2 inches)(7/2 inches)Vr=[ (1*2*7) / (2*2) ] inches^3Vr=14/4 inches^3Vr=7/2 inches^3
Side of the cube: s=1 incheVolume of the cube: Vc=s^3Vc=(1 inche)^3Vc=1 inche^3
Number of cubes will fit into the rectangular prism: nn=Vr/Vcn=(7/2 inches^3) / (1 inche^3)n=7/2n=3.5
3.5 cubes with side lengths of 1 inche will fit into the prism
Read more on Brainly.com -
brainly.com/question/9194776#readmore
Answer:
-8/15
Step-by-step explanation:
So remember what sin, cos, and tan are.
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
Now, using what we know of sin and cos, lets find opposite and adjacent to solve for tan.
Sin=-8/17
So this must mean that opposite is -8, and the hypotenuse is 17.
Next, lets find adjacent. Cos = 15/17
So this must mean that adjacent is 15, and again, hypotenuse is 17.
Now lets take the -8 of the opposite, and 15 of the adjacent, and get tan.
<u>Tan: -8/15. </u>
17 is not included in this whatsoever, since hypotenuse is not included in tan. And remember that it cannot be -15/8, since its opposite/adjacent, not adjacent/opposite.
Hope this helps!
The question is missing the figure which is attached below.
Answer:
1620 cm³
Step-by-step explanation:
Given:
The two prisms are similar.
Volume of the smaller prism (V₁) = 60 cm³
Length of the smaller prism (l₁) = 5 cm
Length of the larger prism (l₂) = 15 cm
Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,
This means that, the smaller figure is dilated by a scale factor of 3.
Hence, 
Volume of smaller prism is given as:
Volume of larger prism is given as;
![V_2=l_2b_2h_2\\\\V_2=3l_1\times 3b_1\times 3h_1\\\\V_2=27(l_1 b_1h_1)\\\\V_2=27\times 60=1620\ cm^3\ \ \ \ [\because\ l_1b_1h_1=60\ cm^3]](https://tex.z-dn.net/?f=V_2%3Dl_2b_2h_2%5C%5C%5C%5CV_2%3D3l_1%5Ctimes%203b_1%5Ctimes%203h_1%5C%5C%5C%5CV_2%3D27%28l_1%20b_1h_1%29%5C%5C%5C%5CV_2%3D27%5Ctimes%2060%3D1620%5C%20cm%5E3%5C%20%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20l_1b_1h_1%3D60%5C%20cm%5E3%5D)
Therefore, the volume of the larger rectangular prism is 1620 cm³.
