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3 years ago

12

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2 answers:

miskamm [114]3 years ago

8 0

Its just asking which angles are similar just list them in the same order on both sides

abc abc
cba cba

QveST [7]3 years ago

7 0

ABC, ABC
CBA, CBA is the correct answers

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Math question help pleaseee!

Lemur [1.5K]

A entry terrace=(8*4)+(4*4/2)*2=48 ft2
A back porch=6*6=36 ft2
A play room=14*16=224 ft2
Aside deck=3*14=42 ft2
A total=48+36+224+42=350 ft2

The area entry terrace is 48 ft2

The area total is 350 ft2

4 0

4 years ago

The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, prove

REY [17]

To prove a rhombus you need to show that the sides are congruent and the diagonals are perpendicular.

Sides:

$d_{RM}=\sqrt{(-4-1)^2+(5-4)^2}$

$=\sqrt{(-5)^2+(1)^2}$

$=\sqrt{25+1}$

$=\sqrt{26}$

$d_{MB}=\sqrt{(1-2)^2+(4+1)^2}$

$=\sqrt{(-1)^2+(15)^2}$

$=\sqrt{1+25}$

$=\sqrt{26}$

$d_{BS}=\sqrt{(2+3)^2+(-1-0)^2}$

$=\sqrt{(5)^2+(-1)^2}$

$=\sqrt{25+1}$

$=\sqrt{26}$

$d_{SR}=\sqrt{(-3+4)^2+(0-5)^2}$

$=\sqrt{(1)^2+(-5)^2}$

$=\sqrt{1+25}$

$=\sqrt{26}$

$\overline{RM}$ ≅ $\overline{MB}$ ≅ $\overline{BS}$ ≅ $\overline{SR}$

Diagonals:

Use the slope formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$

$m_{RB}=\dfrac{5+1}{-4-2}$

$=\dfrac{6}{-6}$

= -1

$m_{MS}=\dfrac{4-0}{1+3}$

$=\dfrac{4}{4}$

= 1

Slopes are opposite reciprocals so they are perpendicular.

***************************************************************************

All of the sides are congruent and the diagonals are perpendicular so RMBS is a rhombus.

4 0

4 years ago

Show that radius of gyration for a uniform circular disc

natulia [17]

Have a picture to see

7 0

3 years ago

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder th

AlexFokin [52]

Answer:

The volume of the cylinder is 900 cubic inches

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Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

$V_1 = 300in^3$

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

$V_1 = \frac{1}{3}\pi r^2h$

The volume of a cylinder is calculated as:

$V_2 = \pi r^2h$

Since, the cone and cylinder have the same dimensions, we can substitute $\pi r^2h$ for $V_2$ in $V_1 = \frac{1}{3}\pi r^2h$

So, we have:

$V_1 = \frac{1}{3} * V_2$

Multiply both sides by 3

$3 * V_1 = \frac{1}{3} * V_2 * 3$

$3 * V_1 = V_2$

$V_2 = 3 * V_1$

Substitute $300in^3$ for $V_1$

$V_2 = 3 * 300in^3$

$V_2 = 900in^3$

<em>Hence, the volume of the cylinder is 900 cubic inches</em>

6 0

3 years ago

Water is being drained out of a swimming pool at a constant rate of 780 gallons per hour. The swimming pool initially contained

nata0808 [166]

Answer:

Step-by-step explanation:

5 0

3 years ago