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3 years ago

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Please help with these two questions

1 answer:

lesya692 [45]3 years ago

3 0

303.5 pounds per sack of cement.I got my answer by dividing 4,856 by 16 thus giving me 303.5.

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What is the area of triangle abc below? If necessary, round your answer to two decimal places..... PLEASE PLEASE HELP ME

antiseptic1488 [7]

For a triangle:
$A=\frac{bh}{2}$
$A=\frac{b \times 7.9}{2}$
$b=AD+DC$
Use Pythagorean theorem twice:
$AD^{2}+9.4^{2}=7.9^{2}$
$AD=5.09$

$DC^{2}+23.2^{2}=7.9^{2}$
$DC=21.81$

Thus:
$b=26.9$

And:
$Area=\frac{26.9 \times 7.9}{2}=106.26$

6 0

3 years ago

Solve for x: 5/x^2-4+2/x=2/x-2

IRINA_888 [86]

$\dfrac{5}{x^2 - 4} + \dfrac{2}{x} = \dfrac{2}{x - 2}$

$\dfrac{5}{(x + 2)(x - 2)} + \dfrac{2}{x} = \dfrac{2}{x - 2}$

$\dfrac{5}{(x + 2)(x - 2)} \times x(x + 2)(x - 2) + \dfrac{2}{x} \times x(x + 2)(x - 2) = \dfrac{2}{x - 2} \times x(x + 2)(x - 2)$

$5x + 2(x + 2)(x - 2) = 2x(x + 2)$

$5x + 2(x^2 - 4) = 2x^2 + 4x$

$5x + 2x^2 - 8 = 2x^2 + 4x$

$5x - 8 = 4x$

$x - 8 = 0$

$x = 8$

Now we look at the common denominator.

It is x(x + 2)(x - 2).

x cannot be zero, -2 or 2 because that would cause a zero in the denominator.

Since we get x = 8, and x = 8 does not have to be excluded from the domain, the answer is x = 8.

Answer: x = 8

6 0

3 years ago

If cosx is approximately 0.9511, what is the measurement of x to the nearest degree? Approximately, what is the sine of the angl

ziro4ka [17]

Answer:

Using the calculator angle whose cos is 0.9511 is 18 degrees

Sine of the complementary angle = 0.9511 also

Step-by-step explanation:

The sine of the complementary angle( which is 90-18 = 72 degrees) is same value 0.9511

8 0

4 years ago

Read 2 more answers

Which exponential equation is equivalent to this logarithmic equation?

salantis [7]

Answer:

the answer is <u>A</u>

Step-by-step explanation:

$log_{x}(5 \times 12 ) = 7 \\ \: then \: log_{x}(60) = 7 \\ \: then \: {x}^{ log_{x}(60) } = {x}^{7} \\ {x}^{7} = 60$

6 0

3 years ago

WILL GIVE BRAINLIEST Chang deposited $5000 into an account with a 4.8% annual interest rate, compounded monthly. Assuming that n

Mariulka [41]

Answer:

9.42 years (= 113 months)

Step-by-step explanation:

Use the compound rate interest formula:

$A=P(1+\frac{r}{n})^{nt}$

where:

A = amount
P = principal
r = interest rate (in decimal format)
n = number of times interest is compounded per unit t
t = time

Given:

A = $7850
P = $5000
r = 4.8% = 0.048
n = 12
t = years

$\implies 7850=5000(1+\frac{0.048}{12})^{12t}$

$\implies 7850=5000(1.004)^{12t}$

$\implies \dfrac{7850}{5000}=(1.004)^{12t}$

$\implies 1.57=(1.004)^{12t}$

Take natural logs:

$\implies \ln1.57=\ln(1.004)^{12t}$

$\implies \ln1.57=12t\ln(1.004)$

$\implies t=\dfrac{\ln 1.57}{12 \ln1.004}$

$\implies t=9.42\textsf{ years (nearest hundredth)}$

$\implies t=113 \textsf{ months}$

5 0

2 years ago