sharon drops a rubber ball from a height of 48 feet. every bounce sends the ball half as high it was before

Write the contrapositive and the converse of the following conditional

Lunna [17]

The contrapositive statement are:

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The converse statement are:

If the late is frozen, then it is cold.
If Solomon is happy, then he is healthy.
If Tigist Tigist does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

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6 0

2 years ago

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an online store sells DVDs for $10 each the shipping charge for an entire order is $5.50 Frank order d DVDs write an expression

Vikentia [17]

10d + 5.50 = x (the total cost)

5 0

3 years ago

PLEASE HELP!

Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

$\textrm{Slant height l} = \sqrt{r^2 + h^2}$ (1)

$\textrm{Lateral surface area} = \pi r l$

$\textrm {Base area} = \pi r^2$

$\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l)$ (2)

$\textrm{Volume V = } (1/3) \pi r^2h$ (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

$\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04$

Figure(b)

r = 7, h =15

$\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55$

$\textrm{SA} = 7\pi(7 + 16.55) = 517.89$

Figure (c)

r = 5, l = 8

$h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5$

6 0

2 years ago

For a bake sale, Jeremy is selling cookies for $3.00 a dozen (25 cents for each single cookie). If Jeremy makes $25.75 during th

GREYUIT [131]

Answer:

103

Step-by-step explanation:

$25.75 \div 0.25 = 103$

3 0

2 years ago

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Which of the following is the graph of f(x) = -0.5|x+3| -2?

Tcecarenko [31]

Answer:

The last graph

Step-by-step explanation:

We transform functions in the following ways:

multiplying the function by a number to stretch or shrink it
multiplying by a negative to flip the orientation of the function
adding/subtracting a value to the input x to shift it horizontally
adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.

Looking at the equation we can see $f(x)=-0.5\left|x+3\right|-2$

Vertically shrunk by 0.5
Negative leading coefficient to flip the graph's orientation
Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)

The last graph has vertex (-3,-2) and satisfies the the equation.

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3 years ago

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