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2 years ago

Calculate the length of the circumference inscribed in the ABCD trapezium using the data shown in the figure

Mathematics

2 answers:

Oksanka [162]2 years ago

7 0

<h3>Steps:</h3>

From the given figure,

Subtracting AB and DC, so,

$6 - 3 = 3 \: cm$

As we know that :-

$d = \sqrt{ {5}^{2} - {3}^{2} }$

$→d = 4 π cm$

Since:-

$c = πd$

$c = 4πd$

So, Answer is <u>4 π d</u>

klasskru [66]2 years ago

4 0

Answer:

hayewthwqgyuhqwyghebgyqwbhywbwyg i am a 3cm

Step-by-step explanation:

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Determine whether the graphs shows growth or decay

mart [117]

Answer:

7) Decay

8) Growth

9) Growth

10) Growth

Step-by-step explanation:

7) As <em>x </em>increases, <em>y </em>is decreasing because as you add more value to the exponent, 1/3 gets smaller and smaller.

8) As <em>x </em>increases, <em>y </em>is increasing because as you add more value to the exponent, 2 gets bigger and bigger.

9) As <em>x </em>increases, <em>y </em>is increasing because as you add more value to the exponent, 2 gets bigger and bigger.

10) As <em>x </em>increases, <em>y </em>is increasing because as you add more value to the exponent, 2 gets bigger and bigger.

8 0

2 years ago

Please help me with this.

zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: $hypotenuse^2=(leg_1)^2+(leg_2)^2$ . And the main trigonometric ratios are:

$sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\$

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

$hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12$

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

$sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}$

Finally, you can find the tan (A) since:

$tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}$

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

7 0

2 years ago

Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of

lara [203]

Answer:

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

Step-by-step explanation:

Given that:

Snack bags come in packages of 12.

Juice bags come in packages of 10.

To find:

Fewest number of packages of each product so that there are same number of snack bags and juice boxes.

Solution:

Number of snack bags when 1 package is bought = 12

Number of snack bags when 2 package is bought = 24

Number of snack bags when 3 package is bought = 36

Number of snack bags when 4 package is bought = 48

Number of snack bags when 5 package is bought = 60

Number of snack bags when 6 package is bought = 72

Number of juice bags when 1 package is bought = 10

Number of juice bags when 2 package is bought = 20

Number of juice bags when 3 package is bought = 30

Number of juice bags when 4 package is bought = 40

Number of juice bags when 5 package is bought = 50

Number of juice bags when 6 package is bought = 60

Number of juice bags when 7 package is bought = 70

We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.

This can be found by finding the LCM as well.

LCM of 10 and 12 is 60.

It means we need to buy 60 bags of each item.

And we can easily find the number of packages for each.

Number of packages of snack bags to be bought = $\frac{60}{12} =5$

Number of packages of juice bags to be bought = $\frac{60}{10} = 6$

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

4 0

3 years ago

Please help me I need help

andriy [413]

I think it might be 6

8 0

3 years ago

I need help, please help me this is a quiz and I don't know the answer.

Digiron [165]

It is definitely G :)

8 0

2 years ago