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2 years ago

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Soshi’s rhombus has a base of 12 in and a height of 10 in. Jack’s rhombus has base and height measures that are double those of

Soshi’s rhombus. Compare the area of Jack’s rhombus to the area of Soshi’s rhombus. Explain.

1 answer:

Roman55 [17]2 years ago

3 0

Answer:

360

Step-by-step explanation:

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If you currently have $300 set aside for the trip and you're only able to save $75 a week, write an inequality representing how

algol13

Answer:

see the explanation

Step-by-step explanation:

In this problem

I will assume that the total amount required for the trip is $1,200

so

Let

x ----> the number of weeks

we know that

The number of weeks multiplied by $75 plus $300 must be at least $1,200

In this context, the term "at least" means "greater than or equal to"

so

The linear inequality that represent this problem is

$75x+300\geq 1,200$

Solve for x

subtract 300 both sides

$75x\geq 1,200-300$

$75x\geq 900$

Divide by 75 both sides

$x\geq 12\ weeks$

therefore

The minimum number of weeks you need to save is 12

3 0

2 years ago

What is the is this answer?

olya-2409 [2.1K]

Answer:

False

Step-by-step explanation:

5 has more than one possible output

4 0

2 years ago

Find sin 2a and cot 2a:

geniusboy [140]

Answer:

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}$

Step-by-step explanation:

$\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\$

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}$

8 0

2 years ago

To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top

tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = $\frac{CE}{AE}$

= $\frac{5}{8}$

m(∠CAE) = $tan^{-1}(\frac{5}{8})$

= 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = $\frac{BE}{AE}$

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

= 12.8 + 5

= 17.8

≈ 18 ft

Therefore, total height of the silo is 18 ft.

3 0

2 years ago

Give an example of an infinite set.

Montano1993 [528]

Infinite sets may be countable or uncountable. Some examples are: the set of all integers, {..., -1, 0, 1, 2, ...}, is a countably infinite set; and. the set of all real numbers is an uncountably infinite set.

5 0

2 years ago

Read 2 more answers