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3 years ago

If a triangle has a side A that measures 8 yards and a side B that measures 4 yd, how

Mathematics

1 answer:

storchak [24]3 years ago

8 0

Round two side of measurement and exercise

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JulsSmile [24]

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$y = f(x) = 2x + 5$

$f(2) = 2(2) + 5$

$f(2) = 4 + 5$

$f(2) = 9$

Thus ;

$( \: 2 \: , \: 9 \: )$

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5 0

3 years ago

Read 2 more answers

Hello, help me please)

AlladinOne [14]

Answer:

Given equation:

$10^{5x-2}=2^{8x-3}$

Take natural logs of both sides:

$\implies \ln 10^{5x-2}= \ln 2^{8x-3}$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies (5x-2)\ln 10=(8x-3) \ln 2$

Expand brackets:

$\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2$

Collect like terms:

$\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2$

Factor left sides:

$\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3$

$\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay$

$\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)$

Simplify:

$\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)$

$\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}$

$\implies x=0.4232297737...$

6 0

2 years ago

Find the area of the square in inches and enter your answer below. Do not

Bumek [7]

Given:

Side length of square = 2 in

To find:

The area of the square

Solution:

Area of the square:

Area = side × side

= 2 in × 2 in

Area = 4 in²

Therefore, the area of the square is 4 inches².

8 0

3 years ago

Which expression is equivalent?

chubhunter [2.5K]

It'll be 8 |a^3|.

we don't use modulus on 8 cuz it is obviously positive but we do not know about a^6 when rooted it can be +ve or -ve.

6 0

3 years ago

Tanner plans to make 11 liters of blackberry punch and 18 liters of lemon-lime punch for the class party. He also plans to make

vivado [14]

Answer:

464 students

Step-by-step explanation:

So in all he has 29 liters of punch

11L blackberry punch

18L Lemon line punch

29L collectively

so if 1 liter is enough for 16 students we would multiply 16 students by 29 liters of punch giving you 464.

4 0

3 years ago