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3 years ago

A TV is 16 inches tall and 14 inches wide. Calculate the screen's diagonal length. Round to the nearest whole number.

Mathematics

1 answer:

telo118 [61]3 years ago

8 0

Answer:

Step-by-step explanation:

You were close to de answer but you rounded in a wrong way

If we calculate <em> $\sqrt{16^{2} + 14^{2}}$ </em>we get<em> 21.2602916255</em>

We need to round to the nearest whole number, it means that we have we only have two options: 21 or 22

We need to remember the rounding rules:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down

We see that 1 is followed by 2, it means that we have to round the number down, so our answer is 21

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Which expression is equivalent to 4(6x + 2) - 5(2x - 1)?

Alecsey [184]

Answer:

24x+8+−10x+5

Step-by-step explanation:

Do distributive property.

4*6x=24x

4*2=8

5*2x=10x

5*-1=-5

So 24x+8+−10x+5 is your answer.

3 0

3 years ago

The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -

ra1l [238]

Answer:

4.78 pounds

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 9.2 pound

σ is the population standard deviation = 3.4 pounds

z = 1.3

We are to find x

Hence,

-1.3 = x - 9.2/3.4

Cross Multiply

-1.3 × 3.4 = x - 9.2

-4.42 = x - 9.2

x = -4.42 + 9.2

x = 4.78 pounds.

Therefore the weight of the cat is 4.78 pounds

5 0

2 years ago

A boat is heading towards a lighthouse, whose beacon-light is 145 feet above the water. The boat’s crew measures the angle of el

GREYUIT [131]

Answer:

The ship's horizontal distance from the lighthouse is approximately 1,303.03 feet.

Step-by-step explanation:

3 0

2 years ago

Can anyone help with 1-10

Alex787 [66]

Answer:

1. E

2. A

3. B

4. AB

5. E

6. D

7. BC

8. CD

9. A

10. C

Step-by-step explanation:

6 0

2 years ago

How would you write the following expression as a single term? 3[2 ln(x-1) - lnx] + ln (x+1)

Elan Coil [88]

Apply the rule: $n ln x = ln x^{n}$

$3[2 ln(x-1) - lnx] + ln(x+1)=3[ln(x-1)^{2} - lnx ] + ln(x+1)$

Apply the rule : $log a - log b = log \frac{a}{b}$

$3[2 ln(x-1) - lnx] + ln(x+1)=3ln\frac{(x-1)^{2} }{x} + ln(x+1)$

Apply the rule: $n ln x = ln x^{n}$

$3[ln (x-1)^{2} -ln x]+ln (x+1)= ln \frac{(x-1)^{6} }{x^{3} } +log(x+1)$

Finally, apply the rule: log a + log b = log ab

$3[ln(x-1)^{2} -ln x]+log(x+1)=ln\frac{(x-1)^{6}(x+1) }{x^{3} }$

3 0

3 years ago