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3 years ago

The sum of the lengths of any two sides of a triangle must be less than the length of the remaining side. True or false?

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

False. The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

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Solve the equation. Round to the nearest hundredth. Show work.

muminat

Answer:

Final answer is approx x=0.16.

Step-by-step explanation:

Given equation is $2.8\times 13^{4x} +4.8 = 19.3$

Now we need to solve equation $2.8\times 13^{4x} +4.8 = 19.3$ and round to the nearest hundredth.

$2.8\times 13^{4x} +4.8 = 19.3$

$2.8\times 13^{4x} = 19.3-4.8$

$2.8\times 13^{4x} = 14.5$

$13^{4x} = \frac{14.5}{2.8}$

$13^{4x} = 5.17857142857$

$\log(13^{4x}) = \log(5.17857142857)$

$4x \log(13) = \log(5.17857142857)$

$4x = \frac{\log(5.17857142857)}{\log\left(13\right)}$

$4x = 0.641154659628$

$x = \frac{0.641154659628}{4}$

$x = 0.160288664907$

Round to the nearest hundredth.

Hence final answer is approx x=0.16.

4 0

3 years ago

Which phrase represents' the sum of 11 and a number

denis23 [38]

Answer:

11 + n

Step-by-step explanation:

sum means addition, so u need a + sign

n is usually the variable used for 'a number'

so 11 and (+) a number (n) = 11+ n

hope this helps!

5 0

2 years ago

M <2=x+94 what does x equal

Shtirlitz [24]

This is as far as I could get X=-94+m<2

6 0

3 years ago

Jayla bought a table and some chairs at a furniture store.

anzhelika [568]

Answer:

b. She paid $30 for each chair.

6 0

3 years ago

Read 2 more answers

Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among

Olegator [25]

Answer:

a) X[bar]₁= 1839.20 cal

b) X[bar]₂= 1779.07 cal

c) S₁= 386.35 cal

Step-by-step explanation:

Hello!

You have two independent samples,

Sample 1: n₁= 15 children that did not eat fast food.

Sample 2: n₂= 15 children that ate fast food.

The study variables are:

X₁: Calorie consumption of a kid that does not eat fast food in one day.

X₂: Calorie consumprion of a kid that eats fast food in one day.

The point estimate of the population mean is the sample mean

X[bar]₁= (∑X₁/n₁) = (27588/15)= 1839.20 cal

X[bar]₂= (∑X₂/n₂)= (26686/15)= 1779.07 cal

To calculate the sample standard deiation, you have to calculate the sample variance first:

S₁²= $\frac{1}{n_1-1}$ [∑X₁² - (( ∑X₁)²/n₁)]= $\frac{1}{14} + [52829538 - (\frac{27588^{2} }{15})$ = 149263.4571 cal²

S₁= 386.35 cal

I hope it helps!

7 0

3 years ago