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3 years ago

Please help asap it will help very much

Mathematics

2 answers:

qwelly [4]3 years ago

5 0

Answer:

180 cm²

Step-by-step explanation:

From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.

Area of a square = x² (where x is the length of one side)

⇒ area of the square = 6² = 36 cm²

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²

Total surface area = 4 x area of one triangle + area of the square

= 4 x 36 + 36

= 144 + 36

= 180 cm²

alexandr402 [8]3 years ago

3 0

Answer:

180 I was the first so could I have brainlyest

Step-by-step explanation:

we need the area of 4 triangles and one square triangle = base x height x 1/2 square = base x height 6 x 6 = 36 + ( 6 x 12 / 2 x 4 = 144) = 180

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While exercising Julie found that her heart was beating 12 times every five seconds how many times was it be eating per minute (

andreev551 [17]

To find her heart rate per minute, set up a proportion.
Let x represent the number of heart beats in a minute.
12/5=x/60
5x=720
5/5x=720/5
X=144
Thus, her heart was beating at a rate of 144 beats per minute.

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3 years ago

The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?

Korvikt [17]

Answer:

$A'(1,-5)$

Step-by-step explanation:

The coordinates of the given quadrilaterals are

$A(-5,1),B(-4,3),C(-2,1),D(-3,-1)$

The reflection in the line $y=x$ has the mapping,

$(x,y)\rightarrow(y,x)$

We just have to swap the coordinates.

This implies that,

$A(-5,1)\rightarrow A'(1,-5)$

$B(-4,3)\rightarrow B'(3,-4)$

$C(-2,1)\rightarrow C'(1,-2)$

$D(-3,-1)\rightarrow D'(-1,-3)$

Therefore the correct answer is A.

$A'(1,-5)$

8 0

3 years ago

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Y=4x-2tan(x), (-pi/2,pi/2) which are the relative min and max?

Jlenok [28]

relative max = pi -2

relative min = -2 pi

Step-by-step explanation:

y= 4x- 2tan(x), (-pi/2,pi/2)

To find relative max and min,

According to mathematical procedure to find relative max and relative min,

the following procedure should be carry out.

Derivating equation with respect to x,

$\frac{dy}{dx} =\frac{d}{dx} (4\times x -2 \times tan x)$ .....(1)

Equating equation (1) to Zero,

We get,

$0 =\frac{d}{dy} (4\times x -2 \times tan x)$

$0 = 4 -2 \times sec^{2} x$

$4 = 2 \times sec^{2} x$

$2 = sec^{2} x$

$x= \frac{\pi }{4}$ ....stationary point

There are total three points

1. -pi/2 2. pi/2 3. pi/4

checking local min and local max

first considering -pi/2;

$\frac{d^{2}y }{dx^{2} } =\frac{d^{2} }{dx^{2} } (4\times x -2 \times tan x)$ ...(2)

putting x= pi/4 in equation (2),

we get,

$\frac{d^{2}y }{dx^{2} } = -4$ <0

So, we have local max at x=pi/4

by putting value of x in equation (1);

we get,

$y = 4\times (\pi /4 ) -2 \times tan (\pi /4 )$

$y = \pi - 2$ .... is maximum point.

Similarly, at x= -pi/ 2,

$\frac{d^{2}y }{dx^{2} } = 1$ >0

So, we have local min at x=-pi/2

by putting value of x in equation (1);

we get,

$y = 4\times (-\pi /2 ) -2 \times tan (-\pi /2 )$

$y = -2 \times \pi$ .... is minimum point

3 0

3 years ago

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If the area of a triangle.is 30 square units, what is the height of the triangle if the length of the base of the triangle is 10

Helen [10]

If the area is 30, and the base of the triangle is 10. the way you would find the area is 1/2 base x height. so you would divide 10 by 2 to give you 5. and then ofc 5 x 6 equals 30. but, it’s 10. either way that will give you 30. 10 x 6 = 60, divided by 2 equals 30.

6 0

3 years ago

100pts: Convert the following expression into postfix notation: 4*(5/2^3-4)+4*(9-2)

choli [55]

Answer:

4 5 2 3 ^ / 4 - × 4 9 2 - × +

Step-by-step explanation:

Start by putting a left parenthesis "(" on the operator stack, and adding a right parenthesis ")" to the end of the input expression.

Conversion algorithm

Copy any operands to the output string until an operator is encountered. Pop operators from the operator stack to the output string if they have equal or higher precedence, then put the operator encountered onto the operator stack. When a right parenthesis is encountered, pop operators from the operator stack to the output string until a left parenthesis is found. Drop that left parenthesis.

Given example

For the given expression, we copy 4 and 5 to the output, push / to the operator stack, copy 2 to the output, push ^ to the operator stack, and copy 3 to the output. At this point, the output is ...

4 5 2 3

and the operator stack is

( * ( / ^ . . . . . top item is on the right

When we encounter the - sign, we write the ^ and / operators to the output string and push - to the operator stack. At this point, the state is ...

output: 4 5 2 3 ^ / operator stack: ( * ( -

Next, we copy 4 to the output. When we encounter the right parenthesis, we copy - to the output and pop the ( from the operator stack.

The next input symbol, +, is lower precedence than the remaining * on the operator stack, so we output the * and push the +. Now we have ...

output: 4 5 2 3 ^ / 4 - * operator stack: ( +

The output string so far completes the evaluation of the first term of the input expression.

Now, we copy out 4, push * and (, copy out 9, push -, copy out 2. The right parenthesis triggers the popping of the - to the output, and the final right parenthesis that we added at the start pops the * and + from the operator stack. Our final output is ...

4 5 2 3 ^ / 4 - × 4 9 2 - × +

_____

The result is 14.5.

7 0

3 years ago

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