Answers
Answer:
x = 4
Step-by-step explanation:
If you do not want to read the explanation go the the next part in bold
Ok so the shorter leg of the triangle is a radius of the circle. ( This is indicated by the point in the middle of the circle.) for the hypotenuse we are given one part of the length (2) The other part also happens to be a radius ( remember that a radius is a line that starts from the center of the triangle to any point of the circumference. ) Also remember that the radius is equal to 3. That being said the hypotenuse = 2+3 which equals 5.
This triangle then happens to be a right triangle. ( A triangle formed by a tangent line and a radius is a right triangle.) This means that we can use the Pythagorean theorem to solve for x.
Below here is where the work is shown
a² + b² = c². where a and b = legs and c = hypotenuse. We are given the hypotenuse (5) and a leg (3) So we plug in what we are given and solve for the missing information. 5² = 3² + b²
5² = 25
3² = 9
we would then have 25 = 9 + b²
Next we subtract 9 from each side
25 - 9 = 16
9 - 9 cancels out
Now we have 16 = b²
finally we want to get rid of the ²
To do so we take the square root of each side
[tex]\sqrt{16}=4\\\sqrt{b^2}=b\\b = 4[/tex]
we're left with b = 4 which means that x = 4
Related Questions
Triangle ABC is shown BCD=30 D is a point on side AC such that BD=DA=AB prove that AD =DC
Answers
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 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?
Answers
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
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.
Answers
Answer: D
Step-by-step explanation:
just took it:)
(9-6i) x m = 9 - 6i
What is m?
0
1
9+6i
-9+61
Answers
Answer:
1
Step-by-step explanation:
it should be 1. I believe this is the identity property.
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
Answers
Answer:
27/1000
Step-by-step explanation:
P(G,G,G) = 3/10 x 3/10 x 3/10
'All factors of 70 are even numbers.'
Is he correct?
Ores
Yes
No
No
Explain your answer.
Answers
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.
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?
Answers
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°
Maggie wants to pack 20 cookies equally in boxes each box holds 5 cookies how many boxes does she need
Answers
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
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)
Answers
36/2=18, 8/2= 4 b is correct however wrong because it is the simplest distribution
36/8= 4.5, 8/8= 1 c is incorrect
36/11= 3.27, 8/11= .73 d is incorrect.
Answer is 4x(9+2)
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
Answers
Sigh guys I need you more than ever before the deadline
Answers
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.
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
Answers
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]
Your answer is A
I’ll give points + brainalist (:
Answers
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
Please simplify this!
[tex]( {3}^{2}) {}^{3} [/tex]
Answers
jsjsjdhdhdhsjwjkwkw
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]
What’s the answer please
Answers
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.
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?
Answers
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.
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?
Answers
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.
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
Answers
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.
Approximate, in square meters, the area of a circle with radius = 58.2 m. (Round your answer to three decimal places.)
Answers
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.
Can someone pls help me with this
Answers
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
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.
Answers
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
What is the perimeter of the triangle. Please look at photo. I need you help. Thank you in advance♡
Answers
explanation :
Sides: a = 7.616 b = 7.211 c = 13.038
Area: T = 23
Perimeter: p = 27.865
Semiperimeter: s = 13.933
Angle ∠ A = α = 29.291° = 29°17'29″ = 0.511 rad
Angle ∠ B = β = 27.597° = 27°35'50″ = 0.482 rad
Angle ∠ C = γ = 123.111° = 123°6'41″ = 2.149 rad
Height: ha = 6.04
Height: hb = 6.379
Height: hc = 3.528
Median: ma = 9.823
Median: mb = 10.05
Median: mc = 3.536
Inradius: r = 1.651
Circumradius: R = 7.783
Vertex coordinates: A[3; -1] B[16; -2] C[9; -5]
Centroid: CG[9.333; -2.667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[3.158; 1.651]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 150.709° = 150°42'31″ = 0.511 rad
∠ B' = β' = 152.403° = 152°24'10″ = 0.482 rad
∠ C' = γ' = 56.889° = 56°53'19″ = 2.149 rad
PLEASE GELP ME ASAP RHIS IS TIMING ME!!!!!!!!!!!!
Answers
Answer: A .10
Step to step equation :
5. How many more more vertices does a rectangular prism have than triangular pyramid?
Answers
hope this helps :)
3(e-3)-7(2e-8) - (e-1) =0
Answers
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
In a recent survey of 150 teenagers, 93 stated that they always wear their seat belt when they travel in a car. Assuming the distribution is approximately normal, find the point estimate and standard error for the proportion of teenagers that always wear a seat belt when traveling in a car. Round your answers to two decimal places, as needed.
Answers
Answer:
Point estimate = 0.62
Step-by-step explanation:
Point estimate = x/n
Given
n is the sample size = 150
X = Those that wear their seat belt
X = 93
Point estimates = 93/150
Point estimates = 0.62
18. At my son's birthday party, we had a piñata that we filled with 140 pieces of candy. If there were 42 Hershey
chocolate bars, what percent of the candy was Hershey chocolate bars?
19. On a recent test, there were 15 multiple-choice questions and 25 fill-in-the-blank problems. What percent of
the problems were fill-in-the-blank problems? (Hint: How many problems were on the entire test.)
Answers
Answer:
18. 30%
19. 62.5%
Step-by-step explanation:
42/140 mult by 100 30%
25 + 15 = 40
25/40 mult by 100 62.5%
19. 62.5
Because it is
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'
Answers
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'.
Please help me out with this!
Answers
Answer:
73.3
Step-by-step explanation:
cos(39)= 57/x
x= 57/cos(39)
x=73.3
twice the sum of a number and 8 is equal to 3 times the difference of the number and 7 find the number
Answers
2(x+8) = 3(x-7)
distribute
2x+16 = 3x-21
Subtract 2x from both sides
2x+16-2x = 3x-21-2x
16 = x-21
Add 21 to both sides
16+21 = x-21+21