Answer:
Step-by-step explanation:
please note -2 is not a zero ,it should be 2 is a zero.
by synthetic division
2| 1 4 -10 -4
| 2 12 4
|----------------
1 6 2 | 0
x²+6x+2=0

Answer:
The answer is below
Step-by-step explanation:
From the image attached we can see that the width of the garden is 6 ft. The length of the garden is the slanting side of the triangle (hypotenuse).
Let x be the length of the garden. The height of the triangle = 40 ft - 15 ft = 25 ft.
The base of the triangle = 80 ft - 75 ft = 5 ft.
The length of the garden is gotten using Pythagoras:
x² = 25² + 5²
x² = 650
x = 25.5 ft.
The area of the garden = length * width = 25.5 * 6 = 153 ft²
Hence the approximate area = 160 ft²
Answer:
hieght at left is 24+1
and right is 25 both are equal now so h=25
base=8
area of triangle 1/2×b×h
1/2×8×25=100
Answer:
So the answer for this case would be n=2663 rounded up to the nearest integer
Step-by-step explanation:
We have the following info:
margin of error desired
the standard deviation for this case
The margin of error is given by this formula:
(a)
And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is
. And for this case would be
, replacing into formula (b) we got:
So the answer for this case would be n=2663 rounded up to the nearest integer
Answer:
A. 23
Step-by-step explanation:
All of the right triangles are similar, so we can write the proportion ...
(short leg)/(long leg) = CD/CB = CB/CA
CD = CB²/CA = 32²/44 ≈ 23 3/11
The length of CD is about 23 units.