Answer:
Step-by-step explanation:
arithmetic sequence formula:
where is the first term and is the common difference
Given:
⇒
⇒
Given:
⇒
⇒
Rearrange the first equation to make the subject:
a = 32 - 9d
Now substitute into the second equation and solve for
(32 - 9d) + 11d = 106
⇒ 32 + 2d = 106
⇒ 2d = 106 - 32 = 74
⇒ d = 74 ÷ 2 = 37
Substitute found value of into the first equation and solve for :
a + (9 x 37) = 32
a + 333 = 32
a = 32 - 333 = -301
Therefore, the equation is:
Answer:
23.
24.
25.
26.
27.
28.
Step-by-step explanation:
To solve these i used SOHCAHTOA
23.
Find the missing side using Tangent
24.
Find the missing side using Tangent
25.
Find the missing side using Tangent
26.
Find the missing side using Tangent
27.
Find the missing side using Tangent
28.
Find the missing side using Tangent
The answer is A please Mark as brainless
Congruent triangles are all the same. Given that the faces of a triangular pyramid are congruent then all its faces are the same. It is also good to note that this pyramid has 4 faces. Given that the surface area of the pyramid is 372m^2, the area of one face will be:
area=(total area)/(number of faces)
=372/4
=93 m^2
A suitable probability calculator can tell you the probability is about 6.7%.
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The standard deviation of the distribution of sample means is the population standard deviation (6) divided by the square root of the sample size (√144=12). Thus, your threshold is about (19.25-20)/(6/12) = -1.5 standard deviations from the mean.