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2 years ago

Guys pls help me! ASAP!

Mathematics

1 answer:

Makovka662 [10]2 years ago

4 0

Answer:

Step-by-step explanation:

2. area of a triangle is 1/2 b h

1/2 (5 * 2) = 5 yd squared

area of the circle is pi r squared

you only need 1/2 of this area

find all these areas and add them together.

6. this is just a square sitting on a rectangle.

36 x 36 for the square

36 x 60 for the rectangle

add these together.

8. this a 1/2 circle and a triangle.

area of a circle is pi r squared

r is 7 in this problem

the area of a triangle is 1/2 b h

height is 7x2 here or 14

add the two together.

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Using Euler’s formula, how many edges does a polyhedron with 20 faces and 12 vertices have?

astra-53 [7]

Euler's formula for a polyhedron is given by:

$\begin{gathered} F+V=E+2 \\ \text{where,} \\ F=\text{faces} \\ V=\text{vertices} \\ E=\text{edges} \end{gathered}$

Make E, the subject of the formula:

$\begin{gathered} F+V=E+2 \\ E=F+V-2 \end{gathered}$

Put F = 20, V = 12, to obtain E,

$\begin{gathered} E=20+12-2 \\ E=30 \end{gathered}$

Therefore, there are 30 edges

3 0

6 months ago

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

2 years ago

Simplify 2/5 + 1/3<br><br> I NEED THIS ASAP

lana66690 [7]

Answer:

(11/15)'s

Step-by-step explanation:

(2/5) is equal to (6/15)

(1/3) is equal to (5/15)

(5/15)+(6/15)=(11/15)

5 0

2 years ago

The probability of a biased coin landing on heads is 2/7 complete the tree diagram

mamaluj [8]

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

8 0

3 years ago

Read 2 more answers

Katie it making necklaces. She has 1/3 of blue ribbon 3/4 yard of pink ribbon & 7/8 yard of green ribbon. write the ribbon l

german

In order from greatest to least, the ribbons go

7/8 (Green)
3/4 (Pink)
1/3 (Blue)

This because 7 out of 8 is a larger number than 3 out of 4, and 3 out of 4 is greater than 1 out of 3.

8 0

2 years ago