Answer:
The measure of angle T is 135 degrees.
Step-by-step explanation:
Let's just say the measure of angles T and S are variables t and s.
So the equation would be...
t + s = 180
Since they are supplementary angles, they add up to 180.
Also, we know that t is 3 times s.
t = 3s
Now we can solve this system of equations.
Substitute 3s into t of the first equation.
3s + s = 180
4s = 180
s = 45
Then, since we know that the measure of angle t is 3 times the measure of angle s, we can just multiply 45 by 3 and find the measure of angle t.
45 * 3 = 135
t = 135
So the measure of angle t is 135.
The value of diameter and radius of circle is 7 cm and 3.5cm.
According to the statement
we have given that the a figure of circle and we have to find the radius and the diameter of the circle.
So, We know that the
The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.
Here from the figure it is clear that the
Diameter of circle = 7cm
and the radius of circle we have to find
So,
Radius of circle = Diameter /2
Substitute the values in it then
Radius of circle = 7cm /2
Radius of circle = 3.5 cm.
So, The value of diameter and radius of circle is 7 cm and 3.5cm.
Learn more about the diameter and radius of circle here
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Answer:
1065
Step-by-step explanation:
A right square pyramid consist of
- 1 base area which is a square, area of square = l²
- 4 triangles, area of a triangle = 1/2 (slant height)(base)
area of 4 triangle = 2 (slant height)(base)
In question we are given perpendicular height of pyramid not the slant height so first we will calculate the slant height.
By using pythagorus:
Slant height = √(24²+8²)
= 8√10
Surface area = baseArea + 2 (slant height)(base)
= 16² + 2( 8√10)(16)
= 1065
16.6 repeated
hope this helps, if not, sorry
Answer:
$1.90
Step-by-step explanation:
Represent the numbers of nickels, dimes and quarters by n, d and q.
Then: d + q = 9, or q = 9 - d.
Also, n + d = 10
Lastly, n + d + q = 15.
Let's substitute 9 - d for q in the equation immediately above:
n + d + (9 - d) = 15, or n + 9 = 15. Then n must be 6.
In summary, Jim has 6 nickels, (10 - 6) dimes and (9 - 4) quarters, or:
6 nickels, 4 dimes and 5 quarters
Thus, he has 5($0.05) + 4($0.10) + 5($0.25), or
$0.25 + $0.40 + $1.25, or $1.90