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3 years ago

6

Brianna has six bags of soil filling one flower pot requires 1/3 of a bag of soil how many flower pots can be filled with the si

x flags

1 answer:

dimaraw [331]3 years ago

3 0

Answer:

18

Step-by-step explanation:

$\frac{6}{1}$ ÷ $\frac{1}{3}$

Keep Change Flip

$\frac{6}{1}$ × $\frac{3}{1}$ = $\frac{18}{1}$

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Find the surface area and volume of the composite figure. Use 3.14 for π and round to the nearest tenth if needed.

Vesnalui [34]

Answer:

Step-by-step explanation:

The shape consists of three parts: a half sphere, a round cylinder and a round cone.

The half sphere volume = 1/2 * 4/3 * π * (4)^3

= 32/3 π

The round cyllinder volume = π * (4)^2 * 10

= 160 π

The round cone volume = 1/3 * π * (4)^2 * 3

= 16 π

Adding them together, the volume of shape

= 32/3 π + 160π + 16π

= (32/3 + 160 + 16)*3.14

= 586.13

Similarly the surface area

= (4π4^2)/2 + 2π4*10 + π*4*5

= (32+80+25)*3.14

= 430.18

3 0

3 years ago

Read 2 more answers

Which graph represents a reflection of F(x)=1/3(9)^x across the y- axis

Likurg_2 [28]

Answer:

do you have some image?

Step-by-step explanation:

7 0

4 years ago

PLS HALP on formulas involving polygons

jeyben [28]

The sum of all five angles is 540 degrees.
A) 4*congruent angles + 5th angle = 540
B) (5th angle) -30 = 2*cong angle

A) 5th angle = 540 -4*cong angle
B) 5th angle = 2*(cong angle) -30
Multiplying B) by -1
B) -5th angle = -2*(cong angle) +30 then adding to A)
A) 5th angle = 540 -4*cong angle

-2*(cong angle) +30 = 540 -4*cong angle
2*(cong angle) = 510
*****************************************
By trial and error I determined
each congruent angle = 95
5th angle = 160

6 0

3 years ago

HELP WITH BOTH QUESTIONS SUPER CONFUSED!

Flauer [41]

There's only one question; you are confused.

$\angle CXY \cong \angle BXY \qquad \textrm{Given}$

$\angle CXA \cong \angle BXA \qquad \textrm{Supplements of congruent angles are congruent}$

$\overline{AX} \cong \overline{AX} \qquad \textrm{Reflexivity of congruency}$

$\angle CAX \cong \angle BAX \qquad \textrm{Given}$

$\triangle CAX \cong \triangle BAX \qquad \textrm{ASA}$

$\overline{CX} \cong \overline{BX} \qquad \textrm{Corresponding parts}$

$\overline{XY} \cong \overline{XY} \qquad \textrm{Reflexivity of congruency}$

$\triangle XCY \cong \triangle XBY \qquad \textrm{SAS}$

$\angle XCY \cong \angle XBY \qquad \textrm{Corresponding parts}$

6 0

3 years ago

Given the value of cos 55° ≈ 0.5736, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of

algol [13]

<h3>Answer: $\cos(55^{\circ}) = \boxed{\sin(35^{\circ})} \approx \boxed{0.5736}$ </h3>

======================================================

Explanation:

The rule to use is

cos(x) = sin(y) if and only if x+y = 90

Proof of this statement is shown in the section below.

We say that angles x and y are complementary angles since they add to 90 degrees.

Use of a calculator shows,

cos(55) = 0.573576

sin(35) = 0.573576

both values being approximate.

note how 55+35 = 90.

---------------------------------------------------------

Proof of the claim that if x+y = 90, then cos(x) = sin(y)

Let x and y be the acute angles of a right triangle. See the diagram below. Sides a,b,c are such that 'a' is opposite angle x, b is opposite angle y, and c is the hypotenuse.

We can then say,

cos(angle) = adjacent/hypotenuse

cos(x) = b/c

and also,

sin(angle) = opposite/hypotenuse

sin(y) = b/c

Both are equal to b/c, which means cos(x) = sin(y)

x+y = 90 is true for any pair of acute angles of a right triangle.

6 0

3 years ago