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katrin2010 [14]

3 years ago

5

Tom walked to school at a steady pace, met his sister, and they walked home at a steady pace. Describe this graph. V-shaped. ups

ide down V-shaped. Straight line up. Straight line down

1 answer:

nikitadnepr [17]3 years ago

5 0

upside-down V-shaped

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The sum of two consecutive integers is greater than 50. Could 25 be one of the numbers?

AlekseyPX

Answer:

Yes. 25 and 26 equal 51, so one of the consecutive numbers could be 25.

Step-by-step explanation:

6 0

3 years ago

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Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

Kobotan [32]

Answer: $2 or $9

<u>Step-by-step explanation:</u>

Revenue (R) = $1800 , x = 1100 - 100p

R = xp

1800 = (1100 - 100p)p <em>substituted x with 1100 - 100p</em>

1800 = 1100p - 100p² <em>distributed p into 1100 - 100p</em>

100p² - 1100p + 1800 = 0 <em>added 100p² & subtracted 1100p</em> on both sides

p² - 11p + 18 = 0 <em>divided both sides by 100</em>

(p - 2) (p - 9) = 0 <em>factored quadratic equation</em>

p = 2 p = 9 <em>applied Zero Product Property to solve for p</em>

<em />

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3 years ago

Trapezoids and kites

lisov135 [29]

QUESTION 3

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 36\degree +70\degree+m$ .

$\Rightarrow 106\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles of the kite are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

$|RH|^2=12^2+20^2$

$|RH|^2=144+400$

$|RH|^2=544$

$|RH|=\sqrt{544}$

$|RH|=4\sqrt{34}$

QUESTION 5

The given figure is an isosceles trapezium.

The base angles of an isosceles trapezium are equal.

Therefore $m$

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

$m$

$\Rightarrow m$

$\Rightarrow m$

QUESTION 7

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 48\degree +110\degree+m$ .

$\Rightarrow 158\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 8

The diagonals of the kite meet at right angles.

The length of BC can also be found using Pythagoras Theorem;

$|BC|^2=4^2+7^2$

$\Rightarrow |BC|^2=16+49$

$\Rightarrow |BC|^2=65$

$\Rightarrow |BC|=\sqrt{65}$

QUESTION 9.

The sum of the interior angles of a trapezium is $360\degree$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the measure of angle M and K are congruent.

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

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3 years ago

How does the Counting Principle help when determining the sample space for a probability distribution?

andreyandreev [35.5K]

Answer:

This is also known as the Counting rule.

The Fundamental Counting Principle is used in determining all the possible outcomes and the total possible ways different events can be combined with each other. It is usually done by multiplying all the events together to get the total possible outcome. Doing this also helps in determining the sample space of a probability.

For example there are events a, b and c. The total sample space or possible outcome will be a*b*c.

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3 years ago

If $120.00 is borrowed for 3 years at 5% how much interest will be generated by the end of the loan? please answer will mark bra

Doss [256]

Answer:

I = prt / 100

120x3x5 / 100

= 18

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3 years ago