Answer:
176 cmStep-by-step explanation:
The shorter arc is 22 cm.
Arc length formula:
s = πrθ/180Circumference formula:
C = 2πrUse the first formula to work out the value of C:
22 = πr*45/180πr/4 = 22πr = 88 2πr = 176C = 176 cmLength of arc=L=22cm
We know
[tex]\boxed{\sf L=\dfrac{\Theta}{360}\times πr}[/tex]
[tex]\\ \sf\longmapsto 22=\dfrac{45}{360}\times 2πr[/tex]
[tex]\\ \sf\longmapsto \dfrac{2πr}{8}=22[/tex]
[tex]\\ \sf\longmapsto {2πr=176}[/tex]
[tex]\\ \sf\longmapsto Circumference=176cm[/tex]
The base of the pyramid is a regular hexagon. Find the volume of the pyramid. Round your answer to the nearest tenth.
pls pls help answer
Answer:
216.5
Step-by-step explanation:
Pyramid volume=(area of the base)*(height)/3
Pyramid volume=(area of hexagon with side 5)*(height)/3
Area of hexagon is 3*sqrt(3)*(side)^2/2=75*sqrt(3)/2
Pyramid volume=10*(75*sqrt(3))/(2*3)=216.5
Simplify the square root of –75
Answer:
5 i √ 3
Step-by-step explanation:
Divide $128 in the ratio 2:3:7
Answer:
21.33: 32: 74.67
Step-by-step explanation:
2:3:7
The total is 2+3+7 = 12
Divide 128 by 12
128/12 = 32/3
Multiply each number by 32/2
2*32/3 : 3*32/3 :7*32/3
64/3 : 32 : 224/3
Rounding to the nearest cent
21.33: 32: 74.67
How many significant digits are there in the number 1.00250? OA) 7 OB) 6 OC) 5 OD) 4
Answer:
OB
Step-by-step explanation:
start counting from 1
Then your significant digit is 6
What is the value of the variable result after these lines of code are executed?
>>> a = 3
>>> b = 2
>>> c = 0
>>> result = a * b - c * b
Answer:
the answer is 6
Step-by-step explanation:
3×2-0×2=6
Write the solution set of the inequality graphed below as a com-
pound inequality using the variable g.
Answer:
-17 < g [tex]\leq[/tex] 8
Step-by-step explanation:
'g' is within the range of numbers that are greater than -17 and less than or equal to 8. we know that it is less than or equal to because the circle is closed or filled in, at 8.
What is the volume of the rectangular prism.
A. 16in. 3
B. 22 1/2in. 3
C. 200 in. 3
D. 212 1/2in. 3
Answer:
C: 200
Step-by-step explanation:
Just multiply 12.5 x 8 x 2 to get the answer.
Answer:
C. 200 in.^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 12 1/2 * 8*2
V = 25/2 *8*2
= 25*8
= 200 in ^3
Find the missing side of triangle
Answer:
x = 50
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other two sides , then
x² = 48² + 14² = 2304 + 196 = 2500 ( take the square root of both sides )
x = [tex]\sqrt{2500}[/tex] = 50
Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any
rotational symmetry.
Answer:
No symmetry
Step-by-step explanation:
The shape cannot be folded over any line to be equally matched up to the other side
Find the sum of the first 40 terms of an arithmetic series whose first term is 7 and 40th term is 115. Type answer as an integer (no decimals)
arithmetic sum formula:
Sn = (a1 +
+ an)
geometric sum formula:
az (1 - p)
S =
1-r
Answer:
Answer:
2440
Step-by-step explanation:
an=115
a=7
Sn=n/2(a+an) [Where n is no. of terms]
= 40/2(7+115)
= 20(122)
= 2440
Hi! i need some help with this question, you don't need to help with the 2 parts, just any 1. Thank you!!
y varies is directly as 3x – 4, and y = 33 when x = 5
Find:
a) y when x = 2
b) x when y = 15
Answer:
See explanation
Step-by-step explanation:
y = k * (3x - 5)
Where,
k = constant of proportionality
y = 33 when x = 5
y = k * (3x - 5)
33 = k * (3 * 5 - 5)
33 = k * (15 - 5)
33 = 15k - 5k
33 = 10k
k = 33/10
k = 3.3
a) y when x = 2
y = k * (3x - 5)
y = 3.3(3 * 2 - 5)
= 3.3(6 - 5)
= 3.3(1)
y = 3.3
b) x when y = 15
y = k * (3x - 5)
15 = 3.3(3x - 5)
15 = 9.9x - 16.5
15 + 16.5 = 9.9x
31.5 = 9.9x
x = 31.5/9.9
x = 3.18
In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home?
Between 3.4% and 90%
Between 90% and 93.4%
Between 86.6% and 90%
Between 86.6% and 93.4%
Answer:
Between 86.6% and 93.4%Step-by-step explanation:
To obtain the population proportion from the sample, we calculate the confidence interval ; Confidence interval = phat ± margin of error Phat = 90% ; margin of error = +3.4% 90% ± 3.4% (90 - 3.4)% ; (90 + 3.4)% 86.6% ; 93.4%The circumference of a circle is 257 cm. What is the area,
in
square
centimeters
Answer:
[tex]2\pi \times r = c[/tex]
[tex]\pi \times {r}^{2} = a[/tex]
A=5257.76
Step-by-step explanation:
Or use a calculator online.
8x+4=3(x-1) +7 solve
Answer:
x = 0
Step-by-step explanation:
8x + 4 = 3(x − 1) + 7
Simplify both sides of the equation:
8x + 4 = (3)(x)+ (3)(−1) + 7
8x + 4 = 3x + (−3) +7
Combine like terms:
8x + 4 = (3x) + (−3+7)
8x + 4 = 3x + 4
Subtract 3x from both sides:
8x + 4 − 3x = 3x + 4 − 3x
5x + 4 = 4
Subtract 4 from both sides:
5x + 4 − 4 = 4 − 4
5x =0
Divide both sides by 5:
5x/5 = 0/5
x = 0
How do I do this? I don’t understand it
Answer:
Step-by-step explanation:
x+65 = 180 Consecutive angles in llgm are supplementary
x = 180-65 Subtract equal amounts from both sides.
x = 115
y + 65 = 90 This hard to explain without letters. The lines are parallel. The right angle is an extension of the right vertical parallel line. So the left two angles are 90 degrees because of the perpendicular angles.
y = 90 - 65
y = 25
I NEEDDDD HELPPPP ITSSSS URGENTTTT!!!!!
Answer: 75.4
Step-by-step explanation:
The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.
The lengths of the sides of a triangle are 4,5 and 6 if the length of the longest side of a similar triangle is 15,what is the length of the shortest side of the triangle
Answer:
The length of the shortest side of the triangle is 10.
Step-by-step explanation:
Given that the lengths of the sides of a triangle are 4, 5 and 6, if the length of the longest side of a similar triangle is 15, to determine what is the length of the shortest side of the triangle, the following calculation must be performed :
6 = 15
4 = X
4 x 15/6 = X
10 = X
Therefore, the length of the shortest side of the triangle is 10.
a 60kg person climbs stairs of total height of 20m in two minutes calculate the power delivered [g = 10ms^2].
Answer:
she's I'll ccgmf
Step-by-step explanation:
for the next day and night and it was so yitd cash check out j vfkcnc gjjx xh
fill in the blanks □+0=3/4.also mention the property used.
plz answer fastly and give correct answer and I can understand .
Answer:
3/4 + 0 = 3/4 Additive Neutral Property
Step-by-step explanation:
Which of the following budgets is in surplus?
o Income $500, Fixed Exp. $100, Living Expenses $300
o Income $300, Fixed Exp. $100, Living Expenses $300
o Income $400, Fixed Exp. $100, Living Expenses $300
Answer:
Income $500, Fixed exp. $100, Living Expenses $300
2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h
Answer:
Corresponding AnglesStep-by-step explanation:
Angles a and e are corresponding angles and they are also congruent.tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Help me pleaseee i could really use it
Answer:
20 and 42
Step-by-step explanation:
Let the greater number be x and the smaller number be y.
3(x +y)= 186
x +y= 186 ÷3
x +y= 62 -----(1)
x -y= 22
x= y +22 -----(2)
Substitute (2) into (1):
y +22 +y= 62
2y= 62 -22 (-22 on both sides)
2y= 40
y= 40 ÷2
y= 20
Substitute y= 20 into (2):
x= 20 +22
x= 44
Thus, the two numbers are 20 and 42.
The line plot below shows the amount of time Jason spent practicing
his soccer skills on six separate days. How much time did he spend on
all six days?
х
X
х
+
3
х
+
1
х
1
Times (hour)
Please help me I will give brainliest!!!!
The total amount of time spent on practicing is 3 minutes
To obtain the total practice time, we multiply the time taken by its respective frequency as seen on the plot.
From the plot:
([tex](1 * 0) + (1 * 1/4) + (2 * 1/2) + (1 * 3/4) + (1 * 1)\\(0 + 1/4 + 1 + 3/4 + 1)\\= 3[/tex]
Hence, the total amount of time spent is 3 minutes as obtained from the dot plot given.
Learn more: https://brainly.com/question/16246931
proof of basic proportionality theorem
Answer:
Basic proportionality theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. and DE intersects AB and AC at D and E respectively. ... Hence we can say that the basic proportionality theorem is proved.
[tex] \boxed{ \sf \: Basic \: Proportionality \: Theorem \: (BPT)}[/tex]
This theorem states that if a line is drawn parallel || to one side of a triangle ∆ to intersect the other 2 sides in distinct points, the other 2 sides are divided in the same ratio.
From the figure, with the help of this proof, we can see that :-
[tex]\sf \: \frac{AD}{AE} = \frac{AE}{EC} \\ [/tex]
Refer to the attached pictures for the proof & the figure.
_____
Hope it helps.
RainbowSalt2222
Find the value of x. Round to the nearest tenth
Answer:
70.5
Step-by-step explanation:
Refer to attached image
Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?
Answer:
[tex]B = 134^o[/tex]
Step-by-step explanation:
[tex]n = 6[/tex] --- sides
[tex]A = 170^o[/tex]
[tex]C = 107^o[/tex]
[tex]D = 102^o[/tex]
[tex]E = 117^o[/tex]
[tex]F = 90^o[/tex]
Required
The measure of B
The interior angles of a polygon is:
[tex]Angles = (n - 2) * 180[/tex]
So, we have:
[tex]Angles = (6 - 2) * 180[/tex]
[tex]Angles = 4 * 180[/tex]
[tex]Angles = 720^o[/tex]
The measure of B is calculated using:
[tex]A + B + C + D + E + F = 720[/tex]
Substitute known values
[tex]107 + B + 170 + 102 + 117 + 90 = 720[/tex]
Collect like terms
[tex]B + 107 + 170 + 102 + 117 + 90 = 720[/tex]
[tex]B + 586 = 720[/tex]
Collect like terms
[tex]B = 720 - 586[/tex]
[tex]B = 134^o[/tex]
Factorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b
help Me these questions I will mark u as brainliest
Answer:
Step-by-step explanation:
What is the equation of the line?
what is 14.005 as a fraction
Answer:
[tex]14 \frac{5}{1000} [/tex]
Step-by-step explanation:
[tex]14.005 = 14 \frac{5}{1000} [/tex]
proper frac 14 1/200
improper frac 2801/200
CAN YOU GUYS HELP ME PLS IM FAILING GET THIS CORRECT PLS IM FAILING BADDD ITS PYTHAGOREAN THEOREM
Answer:
the answer will be 10.81
if.you round of to the nearest tenth then 10.8 feet will be the distance from slide to the monkey bar