Answer:
x=18
Step-by-step explanation:
since they are vertical angle they are the same so since its 2x divide 36/2=18
Answer:
x=18
Step-by-step explanation:
[tex]2x = 36 \\ x = \frac{36}{2} \\ x = 18[/tex]
A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
· 100 small paper clips.
· 250 medium paper clips.
· 150 large paper clips.
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small of medium?
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Add all paper clip sizes together:
[tex]100 + 250 + 150 = 500[/tex]
They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.
[tex]100 + 250 = 350[/tex]
Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.
Can divide 350 and 500 by 50, which simplifies it down to 7/10.
[tex]\frac{350}{500} = \frac{7}{10}[/tex]
The probability that the paper clip selected is either small or medium is 7/10.
What is the probability that the paper clip is either small or medium?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)
= 100/500 + 250 / 500 = 350 / 500 = 7/10
To learn more about probability, please check: https://brainly.com/question/13234031
5. How many more more vertices does a rectangular prism have than triangular pyramid?
HELP LOL !!!! The hypotenuse of a right triangle measures 17 inches.
One leg of the same triangle measures 5 inches.
Determine the length of the other leg.
Answer:
a is approximately 16.25, using the pythagorean theorem.
Step-by-step explanation:
a^2+ b ^2 = c^2
Answer:
wwach leg is 15 inches
Step-by-step explanation:
I hopes this helps
Can someone pls help me with this
Answer:
8.5 pi
Step-by-step explanation:
C= 2 pi r
21 pi= 2pi r
r= 10.5
Arc length= 2pi r(145/360)
21 pi( 145/360)= 8.5 pi
Represent the greatest common factor of 36 and 8 using the distributive property
36 + 8 =
0 4x(9+2)
O2 x (18+4)
O 8x (5+2)
0 11 x (3+1)
3(e-3)-7(2e-8) - (e-1) =0
Answer:
e = 4
Step-by-step explanation:
3 ( e - 3 ) - 7 ( 2e - 8 ) - ( e - 1 ) = 0
The first step to solving such an equation is to distribute. Multiply the term outside of the parentheis by every term inside of the parenthesis,
3e - 9 - 14e + 56 - e + 1 = 0
Simplify, combine like terms,
3e - 9 - 14e + 56 - e + 1 = 0
3e - 14e - e - 9 + 56 + 1 = 0
-12e + 48 = 0
Inverse operations,
-12e + 48 = 0
+12e +12e
48 = 12e
/12 /12
4 = e
How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually
Answer:
Number of year = 11.725 year (Approx.)
Step-by-step explanation:
Given:
Amount invested = $200
Interest rate = 6% (compounded semi annually)
Future value = 2 x Amount invested
Find:
Number of year
Commutation:
Future value = 2 x Amount invested
Future value = 2 x 200
Future value = $400
Number of year (Semi-annual) = 2n
Interest rate (Semi-annual) = 6% / 2 = 3%
So.
A = P[1+r]ⁿ
400 = 200[1+3%]²ⁿ
2 = [1.03]²ⁿ
n = 11.725 year
Number of year = 11.725 year (Approx.)
HELP ME ASAP WILL GIVE BRAINLIEST TO ONE THAT ANSWERS CORRECTLY
The Fundamental Counting Principles is used to add all the possible outcomes for each stage of an event.
True or False?
Answer:
True
Step-by-step explanation:
The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things.
Please help me out with this!
Answer:
73.3
Step-by-step explanation:
cos(39)= 57/x
x= 57/cos(39)
x=73.3
Suppose there is a bag of 10 marbles. Of the 10 marbles, 5 are blue, 3 are green, and 2
are black. What is the probability of drawing three marbles and having all three be green,
with replacement
Answer:
27/1000
Step-by-step explanation:
P(G,G,G) = 3/10 x 3/10 x 3/10
Please simplify this!
[tex]( {3}^{2}) {}^{3} [/tex]
Answer:
729
Step-by-step explanation:
We have the equation [tex](3^2)^3[/tex] and are asked to simplify it.
When you have a number with an exponent inside the parenthesis, and then another exponent right out of the parenthesis, you follow the rule where you multiply both exponents together.
Therefore,
[tex](3^2)^3=3^{2*3} =3^6[/tex]
[tex]3^6 = 729[/tex]
ted is twice his sister's age and three years younger than joe. ted's sister is half of a century plus ten. how old is ted how old is ted's sister
Answer:
teds sister is 60 years old, ted is 120 some how, and joe is 123.
Step-by-step explanation:
half of a century is 50 because a century is 100 years and plus 10 years equals 60 and 60 times 60 equals 120 and 120 plus 3 years equals 123 so that's how I got the answers. At first this answer looks complicated you just have to read the question carefully.
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All changes saved
12. A brand-new music service is offering specials on individual song downloads. The cost is $0.74 for each
song up to 20 songs per month, and the cost doubles to $1.48 per download for any number of downloads
over 20. How much would it cost to download 28 songs?
> Less
> Less
Answer:
Downloading 28 songs will cost $26.64.
Step-by-step explanation:
Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:
(20 x 0.74) + (8 x 1.48) = X
14.8 + 11.84 = X
26.64 = X
Therefore, downloading 28 songs will cost $ 26.64.
The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15 feet, the length of the prism is 24 ft?
Answer:
The statement is trrue.
Step-by-step explanation:
Given that,
The surface area of a rectangular prism = 2,280 square feet
Width, b =20 feet
Height, h = 15 feet
The formula for the surface area of a rectangular prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Where
l is the length of the prism
Substitute all the values,
[tex]A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet[/tex]
So, the length of the prism is equal to 24 feet.
Sigh guys I need you more than ever before the deadline
Answer:
D) g(x)=(1/2x)²
Step-by-step explanation:
If you plug in 2 for the x in each equation, you find that only g(x)=(1/2x)² gives you a y-value of 1.
What’s the answer please
Answer:
put one line straight across to make a square and isosceles trapezoid and then put a line to make a triangle on top of the square diagonally to make a triangle and a quadrilateral then put put a line diagonally in the square to make two triangles.
Step-by-step explanation:
done.
PLEASE GELP ME ASAP RHIS IS TIMING ME!!!!!!!!!!!!
Answer: A .10
Step to step equation :
If the
mean of a, b, c and d is 8 then what
is the
mean
of
A. a+2,b+2,c+2,d+2
B. ½a,½b,½c,½d
I’ll give points + brainalist (:
Answer:
A: 24+6n≤50
Step-by-step explanation:
$24 plus $6 times however many tubes he gets has to be less than or equal to $50
'All factors of 70 are even numbers.'
Is he correct?
Ores
Yes
No
No
Explain your answer.
Answer:
No
Step-by-step explanation:
70 is divisible by 5. 5 is not an even number.
Answer:
No
Step-by-step explanation:
The factors of 70 are 1, 2, 5,7,10, 14, 35, and 70. the even numbers are 2, 10,14, and 70. but there are odd numbers, like 1, 5, 7, and 35. And since we know there are odd factors, the answer is No. 70 has even AND odd factors.
has vertices
Rectangle ABCD
D(4, - 2)
A(1, 2), B(4, 2). C(1, — 2). ane
A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of
(24, 12)
o A
о В!
o D'
9514 1404 393
Answer:
B'(24, 12)
Step-by-step explanation:
The transformation due to dilation by a factor of 6 is ...
(x, y) ⇒ (6x, 6y)
We want to identify the original point, so we can find (x, y) using ...
(24, 12) = (6x, 6y)
(4, 2) = (x, y) . . . . . . divide by 6
The point with coordinates (4, 2) is point B, so the point with coordinates (24, 12) is B'.
A sound wave with amplitude xo is measured by an observer to have an intensity of I0 when the observer is standing 4.0 meters from the source. Which best describes the amplitude of a sound wave and distance from the source where it will be measured with an intensity of 16Io?
Answer:
C) Increase the amplitude to 2xo and stand 2 meters from the source.
Step-by-step explanation:
Correct on Edge
In the accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC, BD, and DEB?
Answer:
m(arc AC) = 72°
m(arc BD) = 108°
m∠DEB = 90°
Step-by-step explanation:
Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8
Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°
By the property of ratio,
Measure of arc AC = [tex]\frac{4}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{4\times 360}{20}[/tex]
= 72°
Measure of arc BD = [tex]\frac{6}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{6\times 360}{20}[/tex]
= 108°
Measure of ∠DEB = [tex]\frac{1}{2}m(arcAC + arc BD)[/tex]
= [tex]\frac{1}{2}(72+108)[/tex]
= 90°
(9-6i) x m = 9 - 6i
What is m?
0
1
9+6i
-9+61
Answer:
1
Step-by-step explanation:
it should be 1. I believe this is the identity property.
Use the first five terms of the trigonometric series to approximate the value of sin 14pi/18 to four decimal places. Then compare the approximation to the actual value.
a. -0.9609, -0.9659
b. -0.9568, -0.9659
c. -0.9649, -0.9659
d. 0.6432, 0.6428
Please select the best answer from the choices provided.
Answer: D
Step-by-step explanation:
just took it:)
Approximate, in square meters, the area of a circle with radius = 58.2 m. (Round your answer to three decimal places.)
Answer:
10,635.934 m^2
Step-by-step explanation:
The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)
According to the word problem, 58.2 is the radius.
Now that we know the radius, we have our final equation:
pi ⋅ radius ⋅ radius
(3.14 IS USED FOR PI)
3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336
10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934
Therefore, the area of this circle in square meters is 10,635.934 m^2.
Triangle ABC is shown BCD=30 D is a point on side AC such that BD=DA=AB prove that AD =DC
Answer:
Step-by-step explanation:
what grade are you on lemme help you
Answer:
<BAC=<BAD=60° (ΔABD is an equilateral triangle (all sides are equal) so each angle measures 60°)
All the angles in a triangle add to 180, so for ΔABC, we can write <ABC=180-60-30=90. So ΔABC is a right angled triangle with hypotenuse AC.
sinA=opposite/hypotenuse
sin30=AB/AC
1/2=AB/AC
AC=2AB=2AD
AC=AD+DC
AD+DC=2AD
DC=AD
QED
A stereo speaker in the shape of a triangular pyramid has a height of 8.25 inches. The area of the base of the speaker is 22 square inches. What is the volume of the speaker in cubic inches?
A. 60.5 in3
B. 181.5 in3
C. 90.75 in3
D. 243 in3
Answer:
A. 60.5 [tex]in^{3}[/tex]
Step-by-step explanation:
A = 1/3(area of base)(h)
= 1/3(22)(8.25)
= 60.5 [tex]in^{3}[/tex]
Maggie wants to pack 20 cookies equally in boxes each box holds 5 cookies how many boxes does she need
Answer:
4 boxes
Step-by-step explanation:
20/5 is 4 therefore 4 boxes with 5 in each
Answer:
20/5 = 4
Step-by-step explanation:
She needs 4 boxes
twice the sum of a number and 8 is equal to 3 times the difference of the number and 7 find the number