Answer:
I tried figuring out this problem but it is a tad confusing. sorry :/
Step-by-step explanation:
Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.
The area of equiangular triangle with radius 6 inches is 27√3 square inches.
What is equiangular triangle?A triangle with three equal interior angles is called equiangular triangle.
In an equiangular triangle, the measure of each of its interior angle is 60 degrees. Since, all the angles are equal therefore all the side will also be equal.
What is the formula for finding the area of equiangular triangle?The formula for finding the area of equiangular triangle is
[tex]Area = \frac{\sqrt{3} }{4} a^{2}[/tex]
Where,
a is the side length of the triangle.
Let the side length of the equiangular triangle be a.
According to the given question.
We have a equiangular triangle with a radius 6.
Since, the radius of the equilateral triangle or equiangular triangle is given by
Radius = [tex]\frac{a}{\sqrt{3} }[/tex]
⇒ a = 6√3 inches.
Therefore, the area of equiangualr triangle is given by
[tex]Area = \frac{\sqrt{3} }{4} (6\sqrt{3} )^{2}[/tex]
⇒ [tex]Area = \frac{\sqrt{3} }{4} \times 36 \times 3[/tex]
[tex]\implies Area = 27\sqrt{3}[/tex] square inches
Hence, the area of equiangular triangle with radius 6 inches is 27√3 square inches.
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Given the system which is true? Thanks in advance!
Answer: the system has no solution
Step-by-step explanation:
The slope and the y-intercept is different
Can someone please help me! i’m confused!
Answer:
i am so sorry about it
its difficult
Find the (a) mean, (b) variance, and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results. Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week. You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week. The random variable represents the number of U.S. mothers who choose fast food as a dining option for their families one to three times a week.
Answer:
a) The mean is 3.15.
b) The variance is 1.1655.
c) The standard deviation is 1.08.
d) The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week.
This means that [tex]p = 0.63[/tex]
You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week.
This means that [tex]n = 5[/tex]
(a) mean
[tex]E(X) = np = 5*0.63 = 3.15[/tex]
The mean is 3.15.
(b) variance
[tex]V(X) = np(1-p) = 5*0.63*0.37 = 1.1655[/tex]
The variance is 1.1655.
(c) standard deviation
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.63*0.37} = 1.08[/tex]
The standard deviation is 1.08.
(d) interpret the results.
The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.
Please help. This makes 0 sence also fast because this is a big test I need to pass don’t just guess please?!
It's B : 5/9 = 0.555… .
To see why, let x = 0.555… . Then 10x = 5.555…, and
10x - x = 5.555… - 0.555…
9x = 5
x = 5/9
Why the other answers are wrong:
• It's not A because 3/10 = 0.3, while 1/3 = 0.333…
• It's not C because 9/100 = 0.09, while 1/11 = 0.090909… :
x = 0.090909…
100x = 9.090909…
100x - x = 9.090909… - 0.090909…
99x = 9
x = 9/99 = 1/11
• It's not D because 47/99 ≠ 0.475475475… :
x = 0.475475475…
1000x = 475.475475475…
1000x - x = 475.475475475… - 0.475475475…
999x = 475
x = 475/999 ≠ 47/99
Johnny Appleseed was creating a fractal tree design:
The first tree, (a1), only has 1 leaf (the green point). The second tree, (a2), has leaves. The third tree, (a3), has 7 total leaves. How many total leaves will be on the 7th tree?
a) 63
b) 127
c) 128
d) 256
Answer:
The total leaves on the 7th tree is, 127.
Explanation:
Definition of sequence and series:A sequence is defined as a set of integers arranged in a specific order. A series, on the other hand, is defined as the sum of a sequence's elements.
Step by step:
The total leave will be on 7th tree are calculated.
Multiply term 2 and add term 1, to get the next digit.
According, to the question:
[tex]1[/tex]×[tex]2+1=3[/tex]
[tex]3[/tex]×[tex]2+1=7[/tex]
[tex]7[/tex]×[tex]2+1=15[/tex]
[tex]15[/tex]×[tex]2+1=31[/tex]
[tex]31[/tex]×[tex]2+1=63[/tex]
[tex]63[/tex]×[tex]2+1=127[/tex]
Hence, the 7th tree will have a total of 127 leaves.
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Solve for x to the nearest degree.
Answer:
71
Step-by-step explanation:
The square represents 90 degrees.
A triangle’s three angles ALWAYS adds up 180.
To find the missing angle:
180 - 90 = 90
90 - 19 = 71.
Therefore, the answer is 71
Elizabeth bought snacks for her team's practice. She bought a bag of apples for $3.41
and a 10-pack of juice bottles. The total cost before tax was $13.21. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs?
Answer:
$9.80
Step-by-step explanation:
$13.21 - $3.41 = $9.80
Answer:$5.49
Step-by-step explanation:
what is the lateral of a cone with 10 yd and 12.1 yd
Answer:
190.07 yd²
Step-by-step explanation:
Given that :
Base of cone = 10 yards
Height of cone = 12.1 yards
The lateral area of a cone is obtained using the relation :
π × r * l
Where r = Radius = base / 2
l = height of cone
Radius, r = 10/ 2 = 5 yards
Lateral area = π * 5 * 12.1
Lateral area = 190. 0666
Lateral area = 190.07 yd²
Rectangle VWXY is dilated by a scale factor of 2/3 to form rectangle V'W'X'Y’. Side VW
measures 21. What is the measure of side V'W'?
Answer:
y
Step-by-step explanation:
Answer:
V'W' = 14Steps:
V'W' = VW×2/3
V'W' = 21×2/3
V'W' = 42/3
V'W' = 14
The question I’m trying to figure out is What is y?
Answer:
y = 136
Step-by-step explanation:
x + 54 + 82 = 180
x + 136 = 180
x = 44
x + y = 180
44 + y = 180
y = 180 - 44
y = 136
What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, width of 9 centimeters, and a height of 10 centimeters
Answer:
360
Step-by-step explanation:
length times width of the base then multiply by the height of the prism.
(4)(9)10
(factoring polinonomials) help help help help help help please:(((
Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm
Guys please help i dont understand im bad at math
In this combined function, the domain is all real numbers for x except?( x-2) / (x+5)
-2
2
-5
5
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
a x + 64 ≤ 120; x ≤ 56
b x + 120 ≤ 64; x ≤ –56
c x + 64 ≥ 120; x ≥ 56
d x + 120 ≥ 64; x ≥ –56
Answer:
b
Step-by-step explanation:
Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________
Answer
[tex]f(t) = 91000 *1.0376^t[/tex]
Explanation
Given
[tex]a = 91000[/tex] -- initial
[tex]r = 3.76\%[/tex]
Required
The exponential equation
The exponential equation is:
[tex]y =ab^t[/tex]
Where
[tex]b=1 +r[/tex]
We used minus, because the rate increases..
So, we have:
[tex]b=1 +3.76\%[/tex]
[tex]b=1 +0.0376[/tex]
[tex]b=1.0376[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 91000 *1.0376^t[/tex]
Hence:
[tex]f(t) = 91000 *1.0376^t[/tex]
rewrite the function by completing the square. f(x)=x^2-9x+14
Answer:
f(x)=(x-9/2)²-25/4
Step-by-step explanation:
f(x)=x²-9x+14
f(x)=x²-9x+(-9/2)²-(-9/2)²+14
f(x)=(x-9/2)²-81/4+14
f(x)=(x-9/2)²+(-81+56)/4
f(x)=(x-9/2)²-25/4
Answer:
Step-by-step explanation:
3/14 x 2/12 multiply then simplify
Answer:
1/28
Step-by-step explanation:
6/168=1/28
Answer:
hi
Step-by-step explanation:
I think so...
[tex] \frac{3}{14} \times \frac{2}{12} = \frac{1}{7} \times \frac{1}{4} = \frac{1}{28} [/tex]
hope it helps
have a nice day
A rocking horse has a weight limit of 60 pounds. What weight is 95% of the limit? *
Answer:
57
Step-by-step explanation:
60*0.95 = 57
Answer:
57 pounds is 95 percent of the limit.
Step-by-step explanation:
2) Find AC
C
12° 15°
70
B
А
The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
OA.
A. 50 cm
B. 25 cm
OC. 60 cm
D. 120 cm
O E. 90 cm
Answer:
E
Step-by-step explanation:
Givens
L = 5 cm
W = 5 cm
H = 2 cm
Formula
SA = 2L*W + 2L*H + 2*W*H
Solution
SA = 2*5*5 + 2*5*2 + 2*5*2
SA = 50 + 20 + 20
SA = 90 cm^3
Please help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
h = 4.2 in
Volume = 3.6 cubic inches
[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]
r = 0.9 in
Answer:
.... ..................
Me.Bernstein will cut 8 pies into pieces that are each 1/6 of the whole After he cuts the 8 pies. how many pieces will Mr.Bernstein have
9514 1404 393
Answer:
48
Step-by-step explanation:
If each piece is 1/6 of the whole pie, then the whole pie has been divided into 6 equal pieces. The number of pieces resulting from 8 pies being cut that way is ...
(8 pies)(6 pieces/pie) = 8×6 pieces = 48 pieces
solve for bc !.??.?.?.?.
Answer:
A) 12
Step-by-step explanation:
all triangle CBF is similar to triangle GEF by aa similarity.
EF/BF = EG/BC
6/18 = 4/BC
therefore BC must be 12.
the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer
Answer:
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
A =
What is the area of this figure?
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What is the area of this figure?
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What is the area of this figure?
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The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
A =
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
I need help if right I will mark you as brainlest
Answer:
More than 275 dollars of here budget goes to emergencies
Step-by-step explanation:
11% of 2750 is $302.50
If the principal is $200 and the interest rate is 4 percent, what is the simple interest earned in one year?
А.$8
B.$50
C.$800
Answer:
A
Step-by-step explanation:
Solve the system of equations.
2x + 3y = 13
-6x + 4y = 0
A. (2,3)
B.1/2,4
C. (5, 1)
D. (-2, -3)
Answer:
Step-by-step explanation:
The answer is A for both
Answer:
multiply equation 1by -3 and multiply equation 2 by 1
-3×2x+3y×-3=13×-3
-6x+4y=0
-6x-9y=-39
-6x+4y=0
Step-by-step explanation:
-13y=-39
divide both side by -13
-13y/-13=-39/-13
y=3
put answer of y in equation 1
2x+3y=13
2x+3×3=13
2x+9=13
take like terms of the equation
2x=13-9
2x=4
divide both side by 2
2x/2=4\2
x=2
(x,y)=(2,3)