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Inessa [10]
2 years ago
5

Use the right triangular prism shown to answer the following questions.

Mathematics
2 answers:
Tju [1.3M]2 years ago
6 0

Answer:

168cm is the right answer

Step-by-step explanation:

Evgesh-ka [11]2 years ago
5 0
C.168 is your answer
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Find the area of each figure. Round to the nearest hundredth if needed.
Hitman42 [59]

Answer:

<h3>#1</h3>

<u>Trapezoid</u>

  • A = (b₁ + b₂)h/2
  • A = (4.8 yd + 29.4 ft)(8 yd)/2 = (14.6 yd)(4 yd) = 58.4 yd²
<h3>#2</h3>

<u>Rectangle</u>

  • A = ab
  • A = 2 yd * 3.1 yd = 6.2 yd²
<h3>#3</h3>

<u>Equilateral triangle</u>

  • A = √3/4a²
  • A = √3/4(10²) = 25√3
<h3>#4</h3>

<u>Regular octagon</u>

  • A = aP/2
  • A = 14.5(12*8)/2 = 696

6 0
3 years ago
I am not sure of the answer on this one.
nadya68 [22]

Answer: Yes, B

Step-by-step explanation:

B because every x-value corresponds to exactly one y value.

5 0
2 years ago
Read 2 more answers
The 18 faculty members in a college math department range in age from 32 to 68. A stem plot follows: The first and third quartil
valentina_108 [34]

Answer:

Q_{1}=39, \:and\: Q_{3}=58

Step-by-step explanation:

1) This Stem and Leaf plot works like a Histogram. Completing the question, check below the Stem plot. Look the data out of the Stem plot and within (in the graph below)

32, 34 , 38 , 39 , 39 , 40 , 43 , 45 , 46 , 49 , 53 , 54 , 57 , 58 , 59 , 59 , 63 , 68

2) Notice how the first digit is on the Stem column (check below)

3) To find the first and Third Quartiles

Let's use the formulas to find the position, then the value. As it follows:

Q_3=\frac{3}{4}(n+1) \Rightarrow  Q_3=\frac{3}{4}(18+1) Q_3=14.25 \approx14th =58

Q_1=\frac{(n+1)}{4} \Rightarrow Q_1=4.75 th \approx Q_1 =5th =39

4 0
3 years ago
This grid follows two rules.
fredd [130]

Answer:

a = 4,

b = 12

c = 10

d = 15

Step-by-step explanation:

Since the product of each column is equal, therefore,

b*5 = 60

b = 60 ÷ 5 = 12

c*6 = 60

c = 60 ÷ 6 = 10

Since the sum of each column are equal, therefore,

12 + 10 + a = 5 + 6 + d

22 + a = 11 + d

Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.

Factors of 60 are:

(a, d)

(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)

(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)

(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)

(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]

(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)

(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)

Therefore,

a = 4,

d = 15

6 0
3 years ago
Compute the difference​ quotient, StartFraction f (x plus h )minus f (x )Over h EndFraction f(x+h)−f(x) h​, for the function f (
lawyer [7]

Answer:

The difference quotient for f(x)=3x^2 is 3 h + 6 x.

Step-by-step explanation:

The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by

\frac{f(x+h)-f(x)}{h}

So, for the function f(x)=3x^2 the difference quotient is:

To find f(x+h), plug x+h instead of x

f\left(x+h\right)=3 \left(h + x\right)^{2}

Finally,

\frac{f\left(x+h\right)-f\left(x\right)}{h}=\frac{\left(3 \left(h + x\right)^{2}\right)-\left(3 x^{2}\right)}{h}

\frac{3\left(\left(h+x\right)^2-x^2\right)}{h} \\\\\frac{3(h^2+2hx+x^2-x^2)}{h} \\\\\frac{3h\left(h+2x\right)}{h}\\\\3h+6x

The difference quotient for f(x)=3x^2 is 3 h + 6 x.

4 0
3 years ago
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