Answers
Answer:
25.12 square feet
Step-by-step explanation:
Area of a circle
a = 3.14 * r^2
a = 3.14 * 4^2
a = 3.14 * 16
a = 50.24
Since this is a semi-circle the area is half the circle
a = 50.24/2
a = 25.12 square feet
Related Questions
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y = 4/3x - 3
Step-by-step explanation:
1. Find two pints on the line: ((3,1) and (6, 5).
2. Find the slope: Slope = (change in y-values)/(change in the x-values).
Slope = (5 - 1)/(6 - 3) = 4/3
3. Use the slope and one point and substitute into y = mx + b to solve for "b"
y = mx + b slope = 4/3 and point (3, 1)
1 = 4/3(3) + b 4/3 · 3/1 = 12/3 = 4
1 = 4 + b
1 - 4 = b
-3 = b
4. Write the equation of the line: m = 4/3 and b = -3 Substitute into y = mx + b
y = 4/3x - 3
If you need to cut 5 pieces of fabric a 14 feet length, how long should each piece be?
Answers
Answer:
I think by mental math it would be 2.8 feet.
Step-by-step explanation:
Is -51/5 rational or irrational
Answers
Round 2.37 to one decimal place.
Answers
2.4
When rounding, look at the next number. If the next number is 4 or less, the previous number stays the same. If it is 5 or more, the previous number rounds up by 1.
In this case, 7 is greater than 5 so you round 3 up to 4 getting 2.4
16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?
Answers
Answer:
The smaller angle is 20 degrees.
Step-by-step explanation:
A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.
Say that the angles have 2x and 7x length:
2x+7x=90
9x=90
x=10
Hence the acute angles have degrees 2*10=20, 7*10=70.
The smaller angle is 20 degrees.
Hope this was helpful!
Can someone help me with this
Answers
Answer:
1. so the express of the shaded region would be
10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x
so 60x-8x
2.
the perimeter is 6*2 bc two sides so 12
and 10x *2 bc two sides 20
so 20x+12 would be the perimeter
what is the total length of the two ladders 11.4 ft. 5.8ft.
Answers
Answer:
17.2ft
Step-by-step explanation:
just add
11.4+5.8=17.2
Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
A. m = 4 Point = (1/3, 1)
B. m = 1/3 Point = (1,-4)
C. m = 1/3 Point = (1, 4)
D. m = 1/3 Point = (-1, 4)
Answers
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 4 = [tex]\frac{1}{3}[/tex] (x - 1) ← is in point- slope form
with m = [tex]\frac{1}{3}[/tex] and (a, b ) = (1, - 4 ) → B
what are complementry angles
Answers
Answer:
either of two angles whose sum is 90°
Hello there! :)
Complementary angles are angles that add up to 90 degrees.
Example:
34 and 56 are complementary angles.
Hope this helps!
~Just a gloomy teen
#CarryOnLearning
[tex]SilentNature \\:([/tex]
A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. Assume that σ = $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.
$346,352 < μ < $485,554
$295,433 < μ < $536,473
$272,355 < μ < $559,551
$415,952 < μ < $415,954
Answers
Answer:
ci = [271,953 , 559,953]
Step-by-step explanation:
x = mean: $415953
z = 95% : z value of 95% is 1.960
s = standard deviation = $463364
n = number of observations: 40
X +- Z * S/sqrt N
415953 + - 1.96 * 463364/sqrt40
= 415953 + - 144000
[271,953 , 559,953]
Answer:
$272,355 <μ< $559,551
Step-by-step explanation:
Gradpoint
Evaluate the formula t=
x−μ
s
n when μ=117, n=28, x=113, and
Answers
Work Shown:
[tex]t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\[/tex]
In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).
What are the variables in the equation 2x - 10 + 5y?
Answers
A construction worker measures the amount of cement in a cement truck every 5 minutes as it empties. The table shows the data What is the rate of change for the volume of cement in the truck?
the rate of change of the amount of cement is:
Answers
Answer:
35
Step-by-step explanation:
210 - 175 = 35
175 - 140 = 35
140 - 105 = 35
105 - 70 = 35
I hope this helps!
What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C
Answers
Answer:
C = 25/9
Step-by-step explanation:
Consider the perfect square trinomial ...
(x -a)² = x² -2ax +a²
The constant (a²) is the square of half the x-coefficient.
For your trinomial, the square of half the x-coefficient is ...
C = ((-10/3)(1/2))² = (5/3)² = 25/9
Find x in terms of the other letters a( x + b ) = c( x + d )
Answers
Answer:
[tex]x=\frac{cd-ab}{a-c}[/tex]
Step-by-step explanation:
The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.
First step is to distribute the a and c on either side,
ax+ab=cx+cdSubtract cx from both sides,
ax+ab-cx=cdNext, subtract ab from both sides,
ax-cx=cd-abThen, factor out x from the left side,
x(a-c)=cd-abFinally, divide both sides by a-c,
[tex]x=\frac{cd-ab}{a-c}[/tex]If f(1) = 5 and f(n) = 4f(n − 1) - 2 then find the value of f(5).
Answers
Hi,
This is the same situation as a sequence case.
You have two informations :
[tex]\left \{ {{f(1)=5} \atop {f(n)=4f(n-1)-2}} \right.[/tex]
You need to solve this rank by rank for n = 1, 2, 3, 4 and 5.
We already have f(n) for n = 1 : it is f(1) = 5.
n = 2 :
f(2) = 4 * f(2-1) - 2 = 4 * f(1) - 2 = 4 * 5 - 2 = 20 - 2 = 18 because f(1) = 5
n=3 :
f(3) = 4 * f(3-1) -2 = 4 * f(2) -2 = 4 * 18 -2 = 72 - 2 = 70
n = 4 :
f(4) = 4 * f(4-1) -2 = 4* f(3) - 2 = 4* 70 - 2 = 280 - 2 = 278
n = 5 :
f(5) = 4 * f(5-1) - 2 = 4*f(4) - 2 = 4 * 278 - 2 = 1112 - 2 = 1110
so f(5) = 1110
Good Luck
O is the centre of the circle. Determine the value of s to the nearest tenth, if necessary.
a) 6.7
b) 7
c) 77
d) 9.2
Answers
X/2-1/5=x/3+1/4
Plz I need fast
Answers
Answer:
X= - 6/20
Step-by-step explanation:
Find the lcm in both sides,,,
Do a cross multiple of the sides,
Ab= 14
Co=8
OD=3
Find ob
Answers
OB be x
[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]
[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]
[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]
[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]
[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]
[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]
[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]
[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]
A savings account increases from 150$ to 153$. What is the percent increase of the savings account?
Answers
Answer:
The correct answer would be 2.00%
Does anyone know this?
Answers
Answer:
△RED~△TAN
Step-by-step explanation:
Both triangles are similar, even if they have different sizes. They still retain the same degrees.
Proof: Angle RED
180 - 110 - 28 to find m∠E.
m∠E = 42
m∠A = 42
m∠E = m∠A
-1.3(x+3)-12.4=-24.1
Answers
Answer:
6.02
Step-by-step explanation:
Answer:
x=-12
Step-by-step explanation
1.3x+3.9-12.4=-24.1
1.3x+3.9=-11.7
1.3x=-15.6
x=-12
please help !! find the measure of ∠1 and ∠2. justify your answers
Answers
Answer:
angle 1 = 45° because vertical angles
angle 2 = 135° because supplementary angles
Step-by-step explanation:
∠1 = ∠a, ∠a = 45°
∠2 + ∠a (45°) = 180°
180° - 45° = 135°
Answer:
Angle 1= 45 degrees, angel 2= 135
Step-by-step explanation:
you know that line b has a 45 degree angle on a 180 total, so to find angle 1 you just move the 45 as they are the same, to find angle b you substract 45 from 180 getting 135
At Abdul’s Swimwear, 85% of the 60 swimsuit styles are bikinis. How many bikini styles are there?
Answers
because if u find 85% of 60 it’s 51
Please man, I need this answer as fast as possible. Thank You!!!!
Answers
Answer:
-5f
and
2g
Step-by-step explanation:
Owen invested $81,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 % compounded continuously. Zoe invested $81,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded monthly. After 9 years, how much more money would Owen have in his account than Zoe, to the nearest dollar?
Answers
Answer: $6322
114800.8806 - 108478.6929
= 6322.1877
Rounded to the nearest dollar = $6322
Answer:6761
Step-by-step explanation:
Find the least common multiple of: 2v^2y^7 and 11v^4y^8x^3
Answers
Answer:
2v6y719x3
Step-by-step explanation:
(1): "x3" was replaced by "x^3". 2 more similar replacement(s).
STEP 1
Equation at the end of step 1
(((2v2 • y711) • v4) • y8) • x3
STEP 2
Final result :
2v6y719x3
can someone help me solve questions 29-31 pls
Answers
Answer:
100.
...................
x =
12
9
6 2/3
help me out please you guys are awesome ^-^
Answers
the answer is x = 6 2/3
ok done. Thank to me :>
A store buys 14 sweaters for $154 and sells them for $448. How much profit does the store make per sweater?
Answers
Answer:
Profit = $21
Step-by-step explanation:
14 sweaters = $154
Cost of 1 Sweater = 154 ÷ 14
= $11
New Cost for 14 Sweaters = $448
New Cost of 1 Sweater = 448 ÷ 14
= $32
Profit Per Sweater = 32 - 11
= $21
Full Profit = 448 - 154
= $294
Answer:
21
Step-by-step explanation:
21