Answer
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
Hey There!
So the rule about interior angles of a trapezoid
is that the angles that lie on the segments that are not parallel are supplements
so essentially what I'm saying is that angle R and angle U are supplementary angles so to find x we do
180=15x+8+7x-4
step 1 combine like terms
15+7=22
8-4=4
now we have
180=22x+4
step 2 subtract 4 from each side
180-4=176
now we have
176=22x
step 3 divide each side by 22
176/22=8
so x=8
now we plug in 8 to 15x+8
8x15=120
120+8=128
so we can conclude that angle R = 128
(a)=940
(b)=1680
(c)=1950
(d)=4440
Answer:
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
Step-by-step explanation:
Hello!
Considering the dependent variable:
Y: Ductility in steel.
And the independent variable:
X: Carbon content of the steel.
The linear regression was estimated and a prediction interval was calculated.
The prediction interval is calculated to predict a value that the variable Y (response variable) can take for a given value of the variable X (predictor variable) in the definition range of the linear regression line. Symbolically [Y/X=]
In this case 95% prediction interval for Y/X=0.5
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
I hope it helps!
Answer:
Option D.
Step-by-step explanation:
In this question figure of pyramid is attached below the question .
Surface area of the rectangular pyramid :
Area of the Base = Length × Width
= 10 × 2 = 20 cm²
Area of Lateral #1 =
=
= 31.5 cm²
Area of Lateral #2 =
=
= 8 cm²
Surface area of the pyramid = 20 + 2(31.5) + 2(8)
= 20 + 63 + 16
= 99 cm²
Surface area of the pyramid is 99 cm²