23.

The area of a triangle is 36 4/5 units squared and the height of the triangle 9 1/5 what is the length of the triangles base

den301095 [7]

Answer:

Height = 8 units

Step-by-step explanation:

Area of a triangle = $36\frac{4}{5}$ square units

= $\frac{184}{5}$ square units

Height of the triangle = $9\frac{1}{5}$ units

= $\frac{46}{5}$ units

Formula to calculate the area of a triangle is,

Area = $\frac{1}{2}(\text{Base})(\text{Height})$

$\frac{184}{5}= \frac{1}{2}\times (\frac{46}{5})\times (\text{Height})$

$\frac{184}{5}= (\frac{46}{10})\times (\text{Height})$

Height = $\frac{184}{5}\times \frac{10}{46}$

= $\frac{368}{46}$

= 8 units

Therefore, height of the given triangle is 8 units.

6 0

3 years ago

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2. Lindsay, who is the youngest member of the softball team at King's Fork High School, is 7

Andrei [34K]

Lindsay’s age = 7 - 1/3n

4 0

3 years ago

Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

alex41 [277]

Answer:

The satisfied table of the given function $y = log_{b} (x)$

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

Step-by-step explanation:

Explanation :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

i)

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

y = -3

ii)

put x = $\frac{1}{4}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{4} )$

$y = log_{2} (2^{-2} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

y = -2

iii)

put x = $\frac{1}{2}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{2} )$

$y = log_{2} (2^{-1} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

y = -1

iv)

put x = 1 given b > 1 so we can choose b = 2

$y = log_{2} (1 )$ = 0

y = 0

v)

put x = $2$ given b > 1 so we can choose b = 2

$y = log_{2} (2 )$

y = 1

Final answer:-

The satisfied table of the given function

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

8 0

3 years ago

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Match the types of well formed formulas with the expressions. Negation Conjunction Disjunction Conditional Biconditional A. T &l

nikklg [1K]

<h3>Answers:</h3>

A. T <-> U is a biconditional
B. (A & B) v (C & D) is a disjunction
C. R -> ~S is a conditional
D. P & Q is a conjunction
E. ~(R v P) is a negation

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

Explanations:

A biconditional is anything in the form A <-> B. This is a compact way of saying (A -> B) & (B -> A). We replace A and B with logical statements.
Disjunctions are of the basic form A v B. The "v" basically means "or".
Any conditional is of the form "if... then...". For example, "if it rains, then it gets wet outside" is a conditional. In terms of logic symbols, we write A -> B to mean "if A, then B".
Conjunctions are whenever we combine two logical statements with an "and" or an ampersand symbol. The basic form is A & B
Negations are the complete opposite of the original. If the original is P, then the negation is ~P, which is read as "not P".

6 0

4 years ago

Solve the literal equation for x. s=2r+3x

Vsevolod [243]

The literal equation for x = s=2r+3x
There no changes to the answer

3 0

3 years ago

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