Answer:
Option a 26 inches square
Step-by-step explanation:
Given in the picture is a triangle with 3 sides as 10.8 inches, 5 inches and base =10+3 = 13 inches
The altitude for base 13 inches is shown as 4 inches.
We know that for any triangle area
=1/2 * base * height
Here base = 13 and height = 4
Hence area = 1/2 (13)(4) = 26 inches square
Answer is option a
---
This can be done in another way also
There are two triangles one with base 10 inches and height 3 inches and another with base 3 inches and height 4 inches
Area of combined figure = sum of area of two triangles
= 1/2 (10)(4) +1/2(3)(4) =
20+6
=26 square inches
Answer:40
Step-by-step explanation:
Answer:
x=4 orx=- 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4
x
=
−
x
2
+
32
Step 2: Subtract -x^2+32 from both sides.
4
x
−
(
−
x
2
+
32
)
=
−
x
2
+
32
−
(
−
x
2
+
32
)
x
2
+
4
x
−
32
=
0
Step 3: Factor left side of equation.
(
x
−
4
)
(
x
+
8
)
=
0
Step 4: Set factors equal to 0.
x
−
4
=
0
or
x
+
8
=
0
x
=
4
or
x
=
−
8
3x+2(3x-3)=2
9x-6=2
9x=8
X=8/9
Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
