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1 year ago

The expression 63+81,

Mathematics

1 answer:

Vladimir [108]1 year ago

8 0

Answer: 9 (7 + 9)

Step-by-step explanation:

63 = 9 * 7 and 81 = 9 * 9

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Find the acute angle θ <br><br> cosθ = 0.5 (to the nearest degree)

skelet666 [1.2K]

Cos60° = 0.5

Any angle less than 90° is an acute angle.

Therefore, 60° is the acute angle.

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3 years ago

You wish to package a spherical globe inside a cubical box . The diameter of the globe is 30 centimeters . How much empty space

Aneli [31]

Answer:

<h2>The empty inside the box is 12,870 cubic centimeters, approximately.</h2>

Step-by-step explanation:

Givens

The diameter of the globe (sphere) is 30 centimeters,
The box must has dimensions 30x30.

We need to find each volume to subtract them.

$V_{box}=(30cm)^{3}= 27,000 \ cm^{3}$

$V_{sphere}=\frac{4}{3} \pi (15cm)^{3} \approx 14,130 \cm^{3}$

The difference betweem the box and the sphere is

$\Delta V=27,000 - 14,130 = 12,870 \ cm^{3}$

Therefore, the empty inside the box is 12,870 cubic centimeters, approximately.

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2 years ago

20. A ball is dropped from a height of a little over 5 feet, and the height is measured at small intervals. The table below show

nekit [7.7K]

Step 1:

a) Write the quadratic model

a = -15.64

b = -1.24

c = 5.23

$P(t)=-15.64t^2\text{ - 1.24t + 5.2}3$

b) t = 0.30

$\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}$

c) t = 0.52 seconds

$\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}$

d) 0.30 is more likely to be relaible.

$\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}$

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7 months ago

You buy a new car for $31,300. The average car depreciates in value by 14% per year. How much will it be worth after each of the

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A = P(1 + rt)

A=31,300(1+.14*1)

A=35682

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2 years ago

Jacob purchased a bag of 60 marbles of various colors. The bag contained 20 red, 15 green and 25 blue marbles. What percent of t

zalisa [80]

<h3>Answer: 25%</h3>

Work Shown:

15 green out of 60 total

15/60 = 1/4 = 0.25 = 25%

5 0

2 years ago