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4 years ago

11

the figure formed by intersection of a solid with a plane parallel to the base of the solid is congruent to the base if the soli

d is a A. frustum of a cone B. right cylinder C. Rectangular pyramid D. right cone

1 answer:

cricket20 [7]4 years ago

6 0

Answer:

B. Right cylinder.

Step-by-step explanation:

The figure must be congruent ( the same size and shape) as the base. The only solid which fits this criterion is a right cylinder. The figure formed and the base will be congruent circles.

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A store sells bags of peanuts in 1 1/4–pound packages. How much does 1/3 a package weigh?

nikklg [1K]

Answer:

a) Weight of 1/3 pack of peanuts = $(1\frac{1}{4} \times \frac{1}{3} )$ pounds.

b) Weight of $(2\frac{1}{3} )$ bag of peanuts is $(2\frac{11}{12})$ pounds.

Step-by-step explanation:

The weight of 1 bag of peanuts = $1\frac{1}{4}$ pounds

Solving the mixed fraction, we get the weight of 1 bag = $1\frac{1}{4} = \frac{5}{4}$ pounds

Now, weight of 1/3 bag = $\frac{\frac{5}{4} }{3 } = \frac{5}{4} \times \frac{1}{3}$

or, the weight of 1/3 pack of peanuts = $(1\frac{1}{4} \times \frac{1}{3} )$ pounds.

Now, the weight of $2\frac{1}{3} = \frac{7}{3}$ bag of peanuts is

$\frac{\frac{5}{4} }{\frac{7}{3} } = \frac{5}{4} \times \frac{3}{7}$

⇒ $\frac{35}{12} = 2\frac{11}{12}$

Hence, the weight of $(2\frac{1}{3} )$ bag of peanuts is $(2\frac{11}{12})$ pounds.

7 0

3 years ago

Graph the point (-2,3) and 3 more points using a slope of -1/2

Romashka [77]

The required 3 more coordinates are (0, 2), (1, 3/2), and (2, 1).

Given that,
To determine points using a slope of -1/2 and the point (-2,3).

<h3>What is coordinate?</h3>

Coordinate, is represented as the points on the x-axis and y-axis of the graph.

Here,

using the slope-intercept form of the equation,
y = mx + c
we have a point (-2, 3) and m = -1/2
Put point and slope in the equation,
3 = -1/2 * -2 + c
c = 3 - 1
c = 2
Now equation would be
y = -1/2x + 2
Now,
For x = 0
y = 2

Coordinate will be (0,2)

For x = 1
y = -1/2 + 2
y = 3/2
Coordinate will be (1, 3/2)

For x = 2
y = -1/2 * 2 + 2
y = 1
Coordinate will be (2, 1)

Thus, the required 3 more coordinates are (0, 2), (1, 3/2), and (2, 1).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2

6 0

2 years ago

Read 2 more answers

Is f(x) continuous at x equals 4? Why or why not? A. No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit

soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

continuous at x=4? Why or why not? Choose the correct answer below.

Answer:

(D) Yes, f(x) is continuous at x = 4 because $Lim_{x \to 4}f(x)=f(4)$

Step-by-step explanation:

Given the function:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

A function to be continuous at some value c in its domain if the following condition holds:

f(c) exists and is defined.

$Lim_{x \to c}$ f(x)$ exists.

$f(c)=Lim_{x \to c}$ f(x)$

At x=4

$f(4)=\dfrac{1}{4}*4+1=2$

$Lim_{x \to 4}f(x)=2$

Therefore: $Lim_{x \to 4}f(x)=f(4)=2$

By the above, the function satisfies the condition for continuity.

The correct option is D.

3 0

3 years ago

How do I factor the following equation in the link? It has been factored, but I need to know the steps.

Vlad [161]

Given

$2x^2-x-3=0$

How to factor

Solution

Step 1

Multiply the first and last costant

$-3\times2x^2=-6x^2$

Step 2

Write out all the pair factors of -6x^2

$\begin{gathered} -6x^2=-6x\text{ and x} \\ -6x^2=-x\text{ and 6x} \\ -6x^2=\text{ -3x and 2x} \\ -6x^2=\text{ -2x and 3x} \end{gathered}$

Step 3

Check for the pair, such that when you add you will get -x

$\begin{gathered} it\text{ is } \\ -3x+2x=-x \\ \therefore-3x,\text{ 2x} \end{gathered}$

Step 4

Replace -x with -3x+2x in the equation

$2x^2-3x+2x-3=0$

Step 5

Put them into brackets Since + is at the center no stress.

$(2x^2-3x)+(2x-3)=0$

Step 6

Factor out what is common in the bracket

$x(2x^{}-3)+1(2x-3)=0$

Step 7

What is in the bracket are the same, pick one

$\therefore(2x-3)(x+1)=0_{}$

7 0

1 year ago

The sum of two numbers is 17. The difference of the numbers is 3

maxonik [38]

10 and 7 are the correct answers!

7 0

3 years ago