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3 years ago

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

Answer:

false

Step-by-step explanation:

15²+30² = 225+900 = 1125

35² = 1225

Since Pythagoras theorem doesn't hold for this triangle, it is not a right triangle.

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The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

weqwewe [10]

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.

Answer:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \angle R = 128.57 ^{\circ}$

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: $\angle D = \frac{5}{2}\angle Y$

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

$\angle D = \angle R = \frac{5}{2}\angle Y$

and

$\angle G = \angle Y$

The sum of angles is given as:

$\angle D + \angle G + \angle R + \angle Y=360^{\circ}$

Substitute values for $\angle D, \angle G \ \& \angle R$

$\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}$

Take LCM

$\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}$

$\frac{14\angle Y}{2}= 360^{\circ}$

Multiply both sides by $\frac{2}{14}$

$\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}$

$\angle Y= 360^{\circ} * \frac{2}{14}$

$\angle Y= \frac{ 360^{\circ} *2}{14}$

$\angle Y= \frac{720^{\circ}}{14}$

$\angle Y= 51.43 ^{\circ}$

So:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \frac{5}{2}\angle Y$

$\angle D = \frac{5}{2} * 51.43^{\circ}$

$\angle D = \frac{5* 51.43^{\circ}}{2}$

$\angle D = \frac{257.15^{\circ}}{2}$

$\angle D = 128.57 ^{\circ}$

Hence:

$\angle D = \angle R = 128.57 ^{\circ}$

8 0

2 years ago

If f(x) = 8x2 + 4x - 12. Find f(2)<br> f(2)=

posledela

Answer:

f(2) = 28

Step-by-step explanation:

$\rm f(x) = 8 {x}^{2} + 4x - 12$

$\rm Evaluate \: 8 x^2 + 4 x - 12 \: where \: x = 2: \\ \\ \rm \implies f(2) = 8 \times {2}^{2} + 4 \times 2 - 12 \\ \\ \rm \implies f(2) = 8 \times 4 + 8 - 12 \\ \\ \rm \implies f(2) = 32 - 4 \\ \\ \rm \implies f(2) = 28$

3 0

2 years ago

A coach of a baseball team orders hats for the 12 players on his team. Each hat costs $9.95. The shipping charge for the entire

Ronch [10]

Answer:

124.4

Step-by-step explanation:

12 x 9.95 = 119.4 dollars

119.4+5.00=124.4

The total cost is $124.40.

6 0

3 years ago

Pam made 1/2 gallon of tea for 10 people. Each person gets the same amount of tea. How much tea, in gallons, will each person ge

OverLord2011 [107]

You just divided 1/2 (.5) by 10 which is .05. so the answer is 0.05 gallons

6 0

3 years ago

A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negat

VladimirAG [237]

Answer:

The correct option is A) {x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

Consider the provided diagram.

Here the left side represents the input (X) values and the right side represents the output (Y) values.

The domain refers to the set of possible input values.

Now consider the provided figure, the set of input value is:

{x | x = –5, –3, 1, 2, 6}

Hence, the correct option is A) {x | x = –5, –3, 1, 2, 6}

5 0

3 years ago

Read 2 more answers