Answer:
Step-by-step explanation:
Use the formula.
d = 2r The diameter of a circle is the same as 2 times the radius.
d = 2(5.6) The radius is 5.6. Substitute 5.6 for r.
d = 11.20 Multiply.
Use the formula.
C = πd
C = π(11.20) The diameter is 11.20. Substitute 11.20 for d.
C ≈ 3.14(11.20) Substitute 3.14 for π.
C ≈ 35.17 Multiply.
The diameter is 11.20 feet.
The circumference is approximately 35.17 feet.
PLEASE HELP ME!!
Answer:
Part 1) The measure of angle x is 24°
Part 2) The measure of angle y is 66°
Step-by-step explanation:
step 1
Find the measure of angle m∠IKL
we know that
m∠JKI+m∠IKL=180° ----> supplementary angles (form a linear pair)
we have
m∠JKI=48°
substitute
48°+m∠IKL=180°
m∠IKL=180°-48°=132°
step 2
Find the measure of angle x
we know that
The triangle IKL is an isosceles triangle
so
m∠KIL=m∠KLI=x
Remember that
The sum of the interior angles of a triangle must be equal to 180 degrees
m∠IKL+2x=180°
132°+2x=180°
2x=180°-132°
x=24°
step 3
In the right triangle JIL
Angles x and y are complementary
so
x+y=90°
24°+y=90°
y=90°-24°
y=66°
y = ?
Choose all answers that are correct.
2.
Which expressions show how 8 • 54 can be rewritten using the distributive property?
Choose all answers that are correct.
A.
8 • 50 + 4
B.
8 • 50 + 8 • 4
C.
8 • 60 – 8 • 6
D.
8 • 60 + 8 • 4
3. Simplify: 3u + 7v + 4u – 2v
A.
7u + 5v
B.
7u + 9v
C.
10u – 2v
D.
12uv
4. Which are the like terms in 4x3 – 7x2 + x + x3?
A.
4x3, –7x2, and x3
B.
4x3and x
C.
4x3and x3
D.
They are all like terms.
5. Simplify:
5x3 – 2x2 + x + 4x3
A.
8x3
B.
9x6– 2x2+ x
C.
9x3– 2x2+ x
D.
5x3– 2x2+ x + 4x3 (the expression cannot be simplified)