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elena55 [62]
3 years ago
11

4294 divided by 68

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

Answer:

1. 63.1. 2.22.5 3. 74.3 4. 56.1

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Find the measure of angle QST
mamaluj [8]

Answer:

∠QST = 115°

Step-by-step explanation:

Because all angles on a straight line must add to 180 and so should the total angles in a triangle:

∠UST + 23x = 180

And:

∠UST + 12x + 55 = 180

So knowing this, ∠U + ∠T must add up to 23x because 180 - ∠UST is the same for both above equations:

55 + 12x = 23x

Subtract 12x from both sides to isolate the 55 and 23x:

55 + 12x - 12x = 23x - 12x

55 = 11x

Divide both sides by 11:

\frac{11x}{11} = \frac{55}{11}

x = 5

As ∠QST = 23x, we can substitute in the known x:

23x =

23(5) =

23 * 5 = 115

So ∠QST = 115°

Hope this helps!

6 0
3 years ago
Read 2 more answers
As the carbon content in steel increases, its ductility tends to decrease. A researcher at a steel company measures carbon conte
mixer [17]

Answer:

d. -5.666 to -0.926

Step-by-step explanation:

Here a pivotal quantity is T = \frac{\hat{\beta_{1}}-\beta_{1}}{se(\hat{\beta_{1}})} where \beta_{1} is the true slope of the regression  equation (unknown), \hat{\beta_{1}} is its least square estimate and se(\hat{\beta_{1}})=1.097 is its estimated standard error. And T has t-distribution with n-2=15-2=13 degrees of freedom (n is the sample size). We have that \hat{\beta_{1}} = -3.30, and because we want the 95% confidence interval, we should use the 2.5th quantile of the t distribution with 13 df, this value is -2.16 and the 95% confidence intervale is given by \hat{\beta_{1}}\pm t_{0.025}se(\hat{\beta_{1}}), i.e., -3.30\pm (2.16)(1.097). Therefore, the 95% confidence interval explicitly is (-5.666, -0.926)

6 0
4 years ago
Given ΔABC, AB = BC = AC . Area of ΔABC = 25 sqrt3 /4 cm. Find the perimeter of ΔABC.
zubka84 [21]
This is an equilateral triangle of height a√3/2 where a is the side length. So the area is ½a.a√3/2=a²√3/4.
So a²=25 and a=5cm. Therefore the perimeter is 3a=15cm.
3 0
3 years ago
Please answer i wanna get this over with h ^-2 / h ^4
Svetllana [295]

Answer:

= h^-6

Step-by-step explanation:

When dividing powers you subtract them (indices rules)

--> -2 - 4 = -6

Hope this helps, please mark as brainliest

5 0
3 years ago
A car travels 35 miles on each gallon of gas. How far will it travel on 6 gallons?
astra-53 [7]

Answer:

210 miles

Step-by-step explanation:

35*6=210

7 0
3 years ago
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