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4 years ago

If one side of a right triangle is 6 and the other side is 9, how long is the hypotenuse?

Mathematics

1 answer:

Delvig [45]4 years ago

3 0

Answer:

about 10.8

Step-by-step explanation:

6^2*9^2=117

square root of 117=10.8

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Is 1/4 greater than, less than or equal to 2/3<br>

Romashka-Z-Leto [24]

Answer:

Less than

Step-by-step explanation:

1/4 = 0.25 and 2/3 is approximately 0.67 so 1/4 is less than 2/3

8 0

3 years ago

Read 2 more answers

After a 70% reduction, you purchase a new clothes dryer on sale for $192. What is the original price for the clothes dryer

DiKsa [7]

Answer:

$640

Step-by-step explanation:

192 = 0.3(x)

x = 192/0.3

x = 640

6 0

3 years ago

Line a ∥ line b. Find the value of x and y. Please show all work for credit.

olasank [31]

Answer:

x = 12, y =

Step-by-step explanation:

a || b

5x - 7 = 3x + 17 Alternative Interior Angles

x = 12 Algebra

Angle 3x + 17 = 53 Substitution

53 + 4y + 3 = 180 Supplementary Angles

y = 31

5 0

3 years ago

What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1$

7 0

3 years ago

Question 1

Tanzania [10]

Answer:

Mortality rate is 0.5 per 1000 habitant

the number of deaths have increased (from 210 to 250)

Step-by-step explanation:

Hello

Mortality rate is the number of deaths in a specific population,usually expressed in units of deaths per 1,000 individuals per year

$Mortality\ rate\ (S)= \frac{(D)}{(P)} *10^{n} \\\\\\\\$

where

S=Mortality rate

D=deaths

P= population

n= is a conversion form ,such as multiplying by 10^{3}=1000, to get mortality rate per 1,000 individuals( we will use n=3)

step 1

asign

S=unknown

D=250

P=500000

n=3, (for each 1000 people)

step 2

Replace

$S=\frac{250}{500000}*1000\\S=\ 0.5\ per\ 1000$

Mortality rate is 0.5 per 1000 habitant

step 3

what if S=0.42

S=0.42(assuming it is 0.42 per 1000,n=3)

D=unknown

P=500000

$(S)= \frac{(D)}{(P)} *10^{n}\\\\isolatin D\\\\S*P=D*10^{n}\\ D=\frac{S*P}{10^{n} } \\\\and\ replacing\\\\D=\frac{(0.42)*(500000)}{10^{3} }\\\\ Deaths=210\\$

the number of deaths have increased (from 210 to 250)

Have a great day

5 0

4 years ago