All categories

3 years ago

Which have smaller angles than 8

Mathematics

2 answers:

musickatia [10]3 years ago

7 0

Answer:

6, 4, 3 and 1

denis23 [38]3 years ago

3 0

Answer:

Angles 3, 4, and 6

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.

Angle 8 is an exterior angle, and angles 4 and 6 are its remote interior angles. According to the theorem, the sum of the measures of angles 4 and 6 equals the measure of angle 8, so the measures of angles 4 and 6 must be less that he measure of angle 8. Since angles 3 and 4 are vertical angles, they are congruent, so the measure of angle 3 must also be less than the measure of angle 8.

Answer: Angles 3, 4, and 6

You might be interested in

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

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

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

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

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

2 years ago

Read 2 more answers

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

gizmo_the_mogwai [7]

Answer:

The large sample n = 1713.96

Step-by-step explanation:

Explanation:-

given the population proportion was estimated to be 0.22

population proportion (P) = 0.22

The 95 % level of significance = 1.96≅ 2

The margin of error = 0.02

The formula of margin error

$\frac{2\sqrt{p(1-p)} }{\sqrt{n} } = 0.02$ … ( i )

Substitute 'p' values in equation (1)

$\frac{2\sqrt{0.22(1-0.22)} }{\sqrt{n} } = 0.02$

cross multiplication and simplification, we get

$2X0.414= 0.02 \sqrt{n}$

$\frac{2X0.414}{0.02} = \sqrt{n}$

$41.4 = \sqrt{n}$

squaring on both sides, we get

the large sample n = 1713.96

7 0

3 years ago

Graph the following equation. y + 2 = -2/3(x-4)

nevsk [136]

just go on desmos.com

7 0

3 years ago

Help! Giving brainliest please show your work

torisob [31]

Answer:

1) 13/20

2) 100

3) 2^6

4 0

1 year ago

................................................................................................................................

Romashka [77]

Answer: second option

Step-by-step explanation: To solve this problem, we will need to plug in the value of “x” into our equation to see if it makes sense.

Let’s start by going in order.

-4.9 = -5.7 + 10.6 = 4.9

This will not be the answer because it’s positive 4.9 not negative.

Let’s go on to the last one. If we add positive 0.8 to negative 5.7 we will get the answer of -4.9 and this makes sense.

8 0

4 years ago

Read 2 more answers