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3 years ago

What is the solution to this inequality 2(x - 4 ) < 5x + 4

Mathematics

1 answer:

sergejj [24]3 years ago

3 0

x>3/4 sorry that was my answer when i calculated it

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What the answer now

stiks02 [169]

Answer:

35.6 yd²

Step-by-step explanation:

Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.

We are Given just 1 side, UV (w). Use the law of sines to find UW (v).

Thus:

$\frac{v}{sin(V)} = \frac{w}{sin(W)}$

W = 137°

w = 19 yd

V = 180 - (137 + 22) = 21° => sum of triangle

v = ??

Plug in the values and solve for v

$\frac{v}{sin(21)} = \frac{19}{sin(137)}$

Multiply both sides by sin(21)

$\frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21)$

$v = \frac{19*sin(21)}{sin(137)}$

$v = 10 yd$ (approximated)

Find area of ∆UVW:

Area = ½*UV*UW*sin(U)

Area = ½*v*w*sin(U)

= ½*10*19*sin(22)

Area = 35.6 yd² (to nearest tenth)

7 0

3 years ago

Pat did not put a lid on jar 4.The candle in jar 4 burned for a very long time.Tell why this candle kept burning so much longer

Luden [163]

Answer:

The gas Oxygen supports combustion, so in the environment where there was no lid covering jar 4, it's sure to receive a lot of oxygen

4 0

3 years ago

A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn

loris [4]

Answer:

95 percent confidence interval for μ is determined by

(60.688 , 69.312)

a) be the same

Step-by-step explanation:

Step (i):-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (ii) :-

Given The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (iii):-

95 percent confidence interval for μ is determined by

$(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )$

$(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )$

(65 - 4.312 ,65 +4.312)

(60.688 , 69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

Conclusion:-

it become same as (61.08, 68.92)

4 0

3 years ago

Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?

Andrej [43]

I am going to build a chart this is best when using ratios

  seniors junior total
7 4
*? *? *?
Totals 121

The way we fill out this chart is that we add the rows and multiply the columns.

So we add 7 + 4 and fill it in our chart we get 11

  seniors junior total
7 4 11
*? *? *?
Totals 121

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this
seniors junior total
7 4 11
11 11 11
Totals 121

Now we multiply each column

so
7 * 11 = 77
4*11 = 44

now our chart look like this

seniors junior total
7 4 11
11 11 11
Totals 77 44 121

so seniors get 77 spaces
and juniors get 44 spaces.

6 0

3 years ago

941 rounded to the nearest 10

Oksana_A [137]

Answer:

900

Step-by-step explanation:

you just see if by the number, if the number is 6 and up your round over and it would become 950 but the number is lower so you make it 900.

3 0

3 years ago