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2 years ago

I need help with this

Mathematics

2 answers:

HACTEHA [7]2 years ago

8 0

Answer:

1. measure of angle E is 90 degrees

2. Measure of angle F + measure of angle G is 90 degrees

Step-by-step explanation:

Angle E is 90 degrees because it is marked as a right angle (the square)

A triangle has 180 degrees so if E is 90 degrees then the other 2 also have to equal 90 degrees

Crazy boy [7]2 years ago

8 0

Yeah what he said^ hooray

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Artist 52 [7]

Please which triangles

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3 years ago

If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a

Karolina [17]

Let h = height of the box,
x = side length of the base.

Volume of the box is $V=x^{2} h = 115$ .
So $h = \frac{115}{ x^{2} }$

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
$S = 2( x^{2} + hx + hx) \\ = 2 x^{2} + 4hx \\ = 2 x^{2} + 4( \frac{115}{ x^{2} } )x$
$= 2 x^{2} + \frac{460}{x}$
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

$S' = 4x- \frac{460}{ x^{2} } = 0$
$4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86$
Then $h= \frac{115}{4.86^{2}} = 4.87$
So the box is 4.86 in. wide and 4.87 in. high.

5 0

3 years ago

Read 2 more answers

Career which length is the longest and explain 850 m 900 cm or 1 km

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La fille a mudane guah garcon la homme la femme. 6/9

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3 years ago

Melitta open an account using her life savings of 250,000 the account pays 5.2% compounded semi-annually how much will maleta ha

Veronika [31]

Answer: 41,504.71

Explanation:
It’s compound interest so you get the formula for that which is
A=p(1+r)^t
Fill in the values and change the % into a fraction
A=25,000(1+0.052)^10
Then solve
A=41,504.71

Hope this helped❤️

8 0

2 years ago

Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and give

Viktor [21]

Answer:

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

Step-by-step explanation:

When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,

the coordinates of point are given by:

$(x,y) = (\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n})$

Given points are:

(x1,y1) = (5,1)

(x2,y2) = (-5,4)

Putting the values in the formula

$X(x,y) = (\frac{(1)(-5)+(4)(5)}{1+4} , \frac{(1)(4)+(4)(1)}{1+4})\\= (\frac{-5+20}{5}, \frac{4+4}{5})\\=(\frac{15}{5}, \frac{8}{5})\\=(3,\frac{8}{5})$

Hence,

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

8 0

3 years ago