Answer:
12.87
Step-by-step explanation:
Since we know that line CD is a perpendicular bisector, triangle ACD is a right triangle, and thus we can apply the Pythagorean theorem to determine the length of side CD. Since the Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse and a and b are the adjacent sides, we can plug in the values of side AD and AC.
As side CD is the bisector of side AB, sides AD and DB are both half the length of side AB, so:
AD = 11/2
AD = 5.5
We now know two values of our equation, and thus we can solve for the missing third value.
5.5^2 + b^2 = 14^2
14^2 - 5.5^2 = b^2
196 - 30.25 = b^2
165.75 = b^2
b = 12.87
Answer:
h=7
Step-by-step explanation:
We want to solve the equation:
We multiply through by the LCM: 
Simplify to get:
We expand to get:
h=7
Answer:
Last option (bottom right)
Step-by-step explanation:
Rotate figure H 180° about the origin, then the figure will turn upside down and will be at quadrant 4, then translating it to 2 units right, you'll get figure K
Answered by GAUTHMATH
Answer:
he filled 10 bags on sunday
Step-by-step explanation:
if each bag weighs 5 pounds, and he filled 2 on Saturday he used 10 pounds already. that would leave 20 pounds left, 20 ÷ 2 = 10
The surface area of the triangular prism is of 140 cm².
<h3>What is the surface area of a prism?</h3>
It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:
- One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.
- Two right triangles with sides 4 cm and 5 cm.
For a rectangle, the area is given by the multiplication of the dimensions, hence:
Ar = 8 x 15 = 120 cm²
For each right triangle, the area is given by half the multiplication of the sides, hence:
At = 2 x 0.5 x 4 x 5 = 20 cm².
Then the surface area of the prism is:
S = 120 cm² + 20 cm² = 140 cm².
More can be learned about surface area at brainly.com/question/28123954
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