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hjlf
3 years ago
15

Look at the image below

Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:

117.8

Step-by-step explanation:

Surface area = πr²+πrl (whee r = radius and l = slant height)

= π×3²+π×3×9.5

= 75π/2

= 117.8

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Solve for the values of x and y.
Tasya [4]

Answer:

We can’t solve for x and y

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
PLEASE HELP!!!<br> Find MG.<br> ∆EGF~∆EML.
stiv31 [10]

Answer:

MG=56\ units

Step-by-step explanation:

step 1

Find the value of x

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem we have that

∆EGF~∆EML

so

\frac{EG}{EM}=\frac{EF}{EL}

substitute the given values

\frac{5x+2}{16}=\frac{126}{28}

solve for x

5x+2=\frac{126}{28}(16)

5x+2=72\\5x=70\\x=14

EG=5x+2=5(14)+2=72\ units

step 2

Find MG

we know that

MG=EG-EM

substitute

MG=72-16=56\ units

3 0
3 years ago
Help with this please ​
s2008m [1.1K]

1 bookcase = 1/5 gallons

x bookcase = 3 gallons

1/5x = 3

x = 3/0.2

x = 15

5 0
3 years ago
The function h(x) = x2 + 14x + 41 represents a parabola.
defon
Part A:

h(x)= x^{2} +14x+41

The first step of completing the square is writing the expression x^{2} +14x as (x+7)^{2} which expands to x^{2} +14x+49.

We have the first two terms exactly the same with the function we start with: x^{2} and 14x but we need to add/subtract from the last term, 49, to obtain 41. 

So the second step is to subtract -8 from the expression x^{2} +14x+49

The function in completing the square form is
h(x)= (x+7)^{2}-8

Part B:

The vertex is obtained by equating the expression in the bracket from part A to zero

x+7=0
x=-7

It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape. 
A quadratic function a x^{2} +bx+c can either make U-shape or ∩-shape depends on the value of the constant a that goes with x^{2}. When a is (+), the curve is U-shape. When a (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will pass through the vertex, hence the symmetry line is x=-7

This function is shown in the diagram below




3 0
3 years ago
Read 2 more answers
Convert r = 8cos θ to rectangular form.
skelet666 [1.2K]

Answer:

D

Step-by-step explanation:

To convert from polar to rectangular form

• x = rcosΘ , y = rsinΘ

• r = \sqrt{x^2+y^2} ⇒ r² = x² + y²

Given

r = 8cosΘ

r = 8 × \frac{x}{r} ( multiply both sides by r )

r² = 8x, hence

x² + y² = 8x ⇒ D

8 0
3 years ago
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