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2 years ago

Decide if the following biconditional statement is true or false:

Mathematics

2 answers:

ozzi2 years ago

4 0

Answer:

False

Step-by-step explanation:

I know what I talking about and I'm right

rewona [7]2 years ago

4 0

This statement is false because December is not the only month when it is winter. January February and March are also in winter.

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What is the measure of angle E? 10 points B 130° С E F G H

nadezda [96]

Answer:

Step-by-step explanation:

Its because of Corresponding angles.

5 0

3 years ago

Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t

Stella [2.4K]

Answer:

A. 8.66 feet

B. 12.59 feet

C. Area of triangle when $\theta=30$ is 129.9 square feet. Area of triangle when $\theta=40$ is 188.85 square feet. Increasing the angle $\theta$ increases the area.

Step-by-step explanation:

The equation that models the height of the triangle is:

$y=15 Tan \theta$

Where,

$y$ is the height, and

$\theta$ is the angle

When $\theta=30$ , the height is:

$y=15Tan30\\y=8.66$

B. When $\theta=40[/tex\ , the height is:[tex]y=15Tan40\\y=12.59$

C. To find the area of the isosceles triangular shaped garden, we use the formula for the area of the triangle:

$A=\frac{1}{2}bh$

Where,

A is the area
b is the base, which is given as 30 feet, and
h is the height [8.66 feet when the angle is 30 & 12.59 when angle is 40]

When Vance uses $\theta=30$ , the area is:

$A=\frac{1}{2}(30)(8.66)\\A=129.9$ square feet

When Vance uses $\theta=40$ , the area is:

$A=\frac{1}{2}(30)(12.59)\\A=188.85$ square feet

So we see that when the angle is more, the area is also more.

4 0

3 years ago

Read 2 more answers

Louisa needs 3 liters of lemonade and punch for a picnic she has 1800 milliliters of lemonade. How much punch does she need expl

8090 [49]

There are 1000 millimetres in a litre, so 1800 ml is 1.8 litres. 3-1.8 is 1.2.

5 0

3 years ago

Read 2 more answers

All machinery must be equipped with

kakasveta [241]

Hey, the answer is c :)

6 0

3 years ago

Read 2 more answers

Consider the spreading of a rumor through a company of 1000 employees, allworking in the same building.We assume that the spread

natima [27]

Answer:

On the 12th day, the rumor would have has to all the 1000 employees

Step-by-step explanation:

Given the data in the question;

so, lets consider the rumor spreading thorough the company of 1000 employee;

the given model is; $r_{n+1}$ = $r_{n}$ + 1000k $r_{n}$ ( 1000 - $r_{n}$ )

where k is the parameter that depends on how fast the rumor spreads, n is the number of days.

now, lets assume k = 0.0001, lets also assume r₀ = 4

so to find how soon all 1000 employees will have heard the rumor ;

let n be;

then r1 will be;

r1 = r₀ + ( 0.001)r₀(1000-r₀ )

r1 = 4 + ( 0.001) × 4× (1000 - 4 )

r1 = 7.984

r2 will be;

r2 = r1 + ( 0.001)r1(1000-r1 )

r2 = 7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )

r2 = 15.904255744

r3 will be;

r3 = r2 + ( 0.001)r2(1000-r2 )

r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )

r3 = 31.555566137

Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.

we will have;

n rₙ

0 4

1 7.984

2 15.904255744

3 31.555566137

4 62.1153785

5 120.372437

6 226.25535

7 401.319217

8 641.58132

9 871.53605

10 983.497013

11 999.727651

12 999.999926

Therefore, On the 12th day, the rumor would have has to all the 1000 employees

5 0

3 years ago