Answer:
x = 11 units
Step-by-step explanation:
Area of triangle = (base + base 2) * h *1/2
so (7 + x )* 7 * 1/2 = 63
63 x 2 = 126
126 / 7 = 18
18-7 = x
x = 11
Check
(7+11)* 7 * 1/2
18* 7 = 126
126 x 0.5 = 63
CORRECT!
(p.s., tell me if wrong :P)
Answer:
Best predicted value of y' = 86.16 kg
Step-by-step explanation:
Given,
n = 100
Range of heights = 138 - 190cm
Range of weight = 39 to 150 kg
x' =167.46 cm
y' = 81.44 kg
r = 0.108
p value = 0.285
y = - 105 + 1.08x
Significance level = 0.05
We reject H0 since pvalue, 0.285 is less than significance level of 0.05.
Therefore,
Given height of adult male, x = 177 cm
y = - 105 + 1.08x
The best predicted value of y' =
y' = - 105 + 1.08(177)
y' = 86.16 kg
The best predicted value of y' is 86.16kg
Answer:
TUP and PUQ
Step-by-step explanation:
Adjacent angles share a common vertex and common side, but don't overlap.
First, we are going to find the distance traveled by the ship adding the tow distances:
Distance traveled= 24 mi +33 mi=57 mi
Next, we are going to use the Pythagorean theorem to find the distance from
to
:
d^2=1665
mi
Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi
We can conclude that <span>if the ship could have traveled in a straight lime from point a to point c, it could have saved
16.2 miles.</span>
To find the total area of this figure, it would be easiest to find the area of the left part (rectangle) and then find the area of the right part (triangle), and then add the two area values together.
First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2
Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.
When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.
117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.
Hope this helps!
