Answer:
x ≥ 1
Step-by-step explanation:
Solve the inequality by solving for x.
Solve:
-4(2x + 1) ≤ 3(x - 5)
Use the distributive property.
-8x - 4 ≤ 3(x - 5)
-8x - 4 ≤ 3x - 15
Subtract 3x from both sides.
-11x - 4 ≤ -15
Add 4 to both sides.
-11x ≤ -11
Divide both sides by -11, also flip the inequality since you're dividing by a negative number.
x ≥ 1
Your final answer would be x ≥ 1
Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
The diameter is 6 feet, so the radius is 3 feet.
The formula to solve for the areas of a circle is
A = πr^2
So, A = (3.14)(3^2)
A = 28.26
Since the table is cut in half, divide the total answer by 2
A = 14.13
Answer:
B = 50°
Step-by-step explanation:
Because all the angles in every triangle added together equals 180°, you would divide m∠CAB (62°) by 2, giving you 31°, then add the 99° to the 31°, and you have 130°, and just by looking at it, you can see that the ∠ABD =50°
Hope this helps :)
Answer:
40/27
Step-by-step explanation:
convert mixed number into improper fraction
4/3×2/3×5×1/3
calculate the product
40/27
