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Nady [450]
4 years ago
7

Use Euler's Formula to find the missing number. vertices:14 Edges:36 Faces:?

Mathematics
2 answers:
TEA [102]4 years ago
7 0
Answers to the quiz; Surface areas of pyramids and cones quiz

1. A
2. B 
3. A
4. B
5. A
6. A
7. C
8. C
9. D
10. A
alina1380 [7]4 years ago
3 0
The answer to number one is A.24
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The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-
Elena-2011 [213]

y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so hmmm then we know the slope of that line is -2/3, so we're really looking for the point-slope form of a line with a slope of -2/3 and that passes through (-3 , 8)

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-3)})\implies y-8=-\cfrac{2}{3}(x+3)

3 0
2 years ago
How do you solve #18?
kompoz [17]
Budget ≤ 1250 - 439
 m = $811
3 0
3 years ago
Read 2 more answers
3(X + 3) 3/4 = 81 <br> what is the answer
Genrish500 [490]

Answer:

the correct answer would be 33

Step-by-step explanation:

hope this helps :)

3 0
2 years ago
Please I Really Need Help.The coordinate plane below represents a city. Points A through F are schools in the city.
almond37 [142]

Answer:

Part A) The system of inequalities is

x\geq2  and  y\geq2

Part B) In the procedure

Part C) The schools that Natalie is allowed to attend are A,B and D

Step-by-step explanation:

Part A: Using the graph above, create a system of inequalities that only contain points C and F in the overlapping shaded regions

we have

Points C(2,2), F(3,4)

The system of inequalities could be

x\geq2 -----> inequality A

The solution of the inequality A is the shaded area at the right of the solid line x=2

y\geq2 -----> inequality B

The solution of the inequality B is the shaded area above of the solid line y=2

see the attached figure N 1

Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

<em>Verify point C</em>

C(2,2)    

<em>Inequality A</em>

x\geq2 -----> 2\geq2 ----> is true

<em>Inequality B</em>

y\geq2 ------> 2\geq2 ----> is true

therefore

Point C is a solution of the system of inequalities

<em>Verify point D</em>

F(3,4)    

<em>Inequality A</em>

x\geq2 -----> 3\geq2 ----> is true

<em>Inequality B</em>

y\geq2 ------> 4\geq2 ----> is true

therefore

Point D is a solution of the system of inequalities

Part C: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < −2x + 2. Explain how you can identify the schools that Natalie is allowed to attend.

we have

y < -2x+2

The solution of the inequality is the shaded area below the dotted line y=-2x+2

The y-intercept of the dotted line is the point (0,2)

The x-intercept of the dotted line is the point (1,0)

To graph the inequality, plot the intercepts and shade the area below the dotted line

see the attached figure N 2

therefore

The schools that Natalie is allowed to attend are A,B and D

3 0
3 years ago
a rain gutter is 24 feet long, 4 inches in height, 3 inches at base and 6 inches at top. how many gallons of water will it hold?
Lubov Fominskaja [6]

Answer:1.8701

Step-by-step explanation:

Area (A) of trapezium as marked is =\frac{1}{2}\left ( sum\ of\ parallel\ sides\right )\times height

A=\frac{1}{2}\left ( 3+6\right )\times 4

A=18in^2

Now for Volume we have to multiply by length because area is same across the length.

volume(v)=A\times length

Volume(v)=18\times 24

Volume(v)=432 in^3

Volume(v)=1.8701 gallon

3 0
3 years ago
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