The radius divides the diameter into 2, and the radius of the circle is 16 units
How to determine the radius?The radius of the circle and the tangent line meet at a right angle.
This means that:
CE² = r² + DE² ------ Pythagoras theorem
So, we have:
34² = r² + 30²
Evaluate the squares
1156 = r² + 900
Rewrite as:
r² = 1156 - 900
Evaluate
r² = 256
Take the square root of both sides
r = 16
Hence, the radius of the circle is 16 units
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Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women said that they own a white vehicle.
Answer:
3/7
Step-by-step explanation:
430 +200 = 630 (630 people in all)
430-160 =270 (270 men NO WHITE CAR)
270/630 = 3/7
SOMEBODY PLEASE HELP I NEED THIS ASAP
Answer:
a = 1000 cm²
Step-by-step explanation:
Center square
20 * 20 = 400cm²
------------------------
Triangle side
a = (1/2)(20)(15)
a = 150
There are 4 sides
a = 4 * 150
a = 600 cm²
-----------------------
Total area
a = 400 - 600
a = 1000 cm²
What are the solutions of the equation
x2-1=15?
Answer:
x=4, -4
Step-by-step explanation:
hope this helps!
If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 10 cm. (Round your answer to three decimal places.)
Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:
[tex]S = d^2\pi[/tex]
In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So
[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]
Surface area decreases at a rate of 9 cm2/min
This means that [tex]\frac{dS}{dt} = -9[/tex]
At which the diameter decreases when the diameter is 10 cm?
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So
[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]
[tex]-9 = 2(10)\pi\frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{9}{20\pi}[/tex]
[tex]\frac{dd}{dt} = -0.143[/tex]
Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
The living room in a new house has the dimensions shown. What is the volume of the room?
Which expression is equivalent to (3a)-2
Answer:
1/9a2
Step-by-step explanation:
I'm not sure if there's supposed to be a list of answers, but 1/9a2 is one. Hope this helps! Let me know if there was supposed to be a list.
Answer:
removing of bracket
Step-by-step explanation:
(3a)-2
3a×(-2)
-6a
Find the difference when we subtract 38,40,159 from the number formed by reversing its digits.
Answer:
5,670,279
Step-by-step explanation:
3,840,159 reversed is, 9,510,483 so, 9,510,483 - 3,840,159 = 5,670,279
pleace helppp meeeee
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Answer:.
Step-by-step explanation:
Answer:
Step-by-step explanation:20/29
Which is the m WZY? Need quick answers!!
Answer:
B. 55°
Step-by-step explanation:
Recall: relationship between inscribed angle and the measure of the intercepted arc [(inscribed angle = ½(intercepted arc)]
Inscribed angle = m<WZY
Intercepted arc = arc WY = 110°
Therefore:
m<WZY = ½110°)
m<WZY = 55°
Identify the two pairs of complementary angles in the figure above. Justify your answer.
Answer:
1st pair of complementary angles: ∠c + ∠d
2nd pair of complementary angles: ∠g + ∠h
Step-by-step explanation:
the two solid lines are perpendicular, creating 4 right angles
1st pair of complementary angles: ∠c + ∠d
2nd pair of complementary angles: ∠g + ∠h
Enter the number that belongs in the green box
Answer:
m<B = 107°
Step-by-step explanation:
∆ADC is congruent to ∆ABC by the SSS Congruence Theorem.
<D corresponds to <B, therefore,
m<D = m<B
m<D = 180° - (41° + 32°)
m<D = 180° - 73°
m<D = 107°
m<D = m<B = 107°
m<B = 107°
When filled to capacity, the water in the aquarium water tank reaches 32 feet. The water is currently reaching 24 feet. What percentage of the tank is full? A 70% C 75% B 25% D 80% 28
Answer:
75%
Step-by-step explanation:
24/32 * 100%
75%
The route between the park and Josh's house is 81 meters. He walks this route 4 times on Saturday. How far does Josh walk between the park and his house on Saturday? Enter your answer in the box.
Answer:
648 m.
Step-by-step explanation:
Each walk = 2*81 = 162 m.
So total for 4 walks = 4 * 162
= 648 m.
Answer:
Josh walked 324 meters
Step-by-step explanation:
81×4= 324
What combination of transformations is shown below?
Answer:
Correct answer is "reflection, then rotation".
Step-by-step explanation:
The figure shows the following two operations:
1) Reflection through central horizontal line. ([tex]1 \to 2[/tex])
2) Rotation with center at the upper left corner of the reflected figure. ([tex]2 \to 3[/tex])
Therefore, correct answer is "reflection, then rotation".
Simplify. State any restrictions on the variables.
[tex]\frac{x^2+9x+18}{x+6}[/tex]
Answer: [tex]x+3, x \neq -6[/tex]
Step-by-step explanation:
The denominator cannot equal 0, so [tex]x \neq -6[/tex].
Simplfying,
[tex]\frac{x^2 +9x+18}{x+6}=\frac{(x+6)(x+3)}{x+6}=x+3[/tex]
A man buys a marker at Rs. 40 and sells it at Rs. 50. What is the profit percentage?
Step-by-step explanation:
C.P of the marker= Rs. 40
S.P of the marker= Rs. 50
Profit= S.P- C.P
= 50- 40
= Rs. 10
Profit%= {[tex]\frac{Profit}{C.P}[/tex]×100}%
= {[tex]\frac{10}{40}[/tex]×100}%
= 25%
Hope it helps♡y = 1/2x + 1 and 2y - x = 6 How many solutions does this system have?(: -none, one, or ifinite?
Answer:
none
Step-by-step explanation:
___________________
Find the volume of the sphere.
r= 6 cm
Formulas for Spheres
S.A. = 4tr?
V = [?] cm3
Round to the nearest tenth.
V = Arr
Answer:
904.8cm^3
Step-by-step explanation:
[tex] \frac{4}{3} \pi{(6)}^{3} \\ \frac{4}{3} \pi(216) \\ \frac{864}{3} \pi \\ 288\pi \\ 904.8 {cm}^{3} [/tex]
The volume of the sphere will be 904.32 cubic cm.
What is the volume of the sphere?Let r be the radius of the sphere. Then the volume of the sphere will be given as,
V = 4/3 πr³ cubic units
The radius of the sphere is 6 cm. Then the volume of the sphere is calculated as,
V = 4/3 x 3.14 x 6³
V = 904.32 cubic cm
The volume of the sphere will be 904.32 cubic cm.
More about the volume of the sphere link is given below.
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What is 4n + 3 ( n – 5 ) + 2 simplified? I suck At math sry
Answer:
[tex]7n−13[/tex]
Step-by-step explanation:
[tex]4n+3(n−5)+2[/tex]
[tex]4n+3n+3 \times (−5+2)[/tex]
[tex]4n+3n−15+2[/tex]
[tex]7n−15+27n-15+2[/tex]
[tex]7n−13[/tex]
Hope it is helpful....My exam, does any one know the answer
Answer:
D) 7
Step-by-step explanation:
Five times a number=5x
added to 4= 5x+4
[tex]5x+4=39[/tex]
[tex]5x=35[/tex]
[tex]x=7[/tex]
So, the number is 7.
what is the median of 72 27 24 11 14 and 12
Answer: 19
Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.
Answer:
The median is the middle number in numerical order.
Numerical order - [tex]11,12,14,24,27,72[/tex]
There are 6 numbers.
The median is 19.
PLEASE HELP !! I will give Brainly to whoever answers
Answer:
A
Step-by-step explanation:
<3 Help! A teacher buys 8 packs of orange erasers
Answer:
360 total numbers of easers
Step-by-step explanation:
You first do
8 x 24
which equals
192
then do
6 x 28
which equals
168
then you take
168 + 192
then that will be
360
you are welcome
Make a line plot of the measurements in the table. Then find the fair share.
Table:
Amount of Sports drink (gallons)
1 over 4
1 over 2
1 over 3
1 over 2
1 over 4
1 over 3
1 over 3
1 over 2
Answer:
its nothing 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/8 or 1/3 if you round it.
According to the Centers for Disease control and prevention, 20.8 of high school students currently use electronic cigarettes. A high school counselor is concerned that the use of e-cigs at her school is higher.
(a) Determine the null and alternative hypotheses.
(b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the school counselor.
(c) Suppose, in fact, that the proportion of students at the counselor's high school who use electronic cigarettes is 0.034. Was a Type I or Type II error committed?
Answer:
H0 : p = 0.028
H1: p > 0.028
We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%
Type 11 error
Step-by-step explanation:
H0 : p = 0.028
H1: p > 0.028
If null should not be rejected then;
We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%
3.)
If the actual proportion is 0.034, which means 3.4%, this means it is actually higher. For failing to reject a false Null, then a type 11 error has been committed
Which does NOT have a value of 4 when
simplified?
1. 5.6x0.15 + (-3.16)
1. (-7x23) + (-43)
III. -5.6+4(3)
Answer:
3 beause when you dividend it -5.6+4(3) .
PLEASE HELP IM BEING TIMED
composite figure help omg
Answer:
188 sq m
Step-by-step explanation:
for the top square its just 6 x 6 which is 36
then for the bottom you add 6 + 13 for the width (which is 19) and we've already been given 8 for the height so then you multiply 19 x 8 and get 152
you then add 152 and 36 to get 188 (and the unit is sq m or m^2)
TESTS OF
ADULT BASIC
EDUCATION
ABE
LOCATOR TEST
Answer:
Step-by-step explanation:
Wat lol
i need the measurement of angle a
Angle B = 90°
Angle C = 67°
To find:-Angle A.
Solution:-[tex]{\boxed{\mathcal{\red{Angle\: A \:=\: 23° \:}}}}[/tex]✅
Step-by-step explanation:-We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ A + ∠ B + ∠ C = 180°
➪ ∠ A + 90° + 67° = 180°
➪ ∠ A + 157° = 180°
➪ ∠ A = 180° - 157°
➪ ∠ A = 23°
[tex]\sf\red{Therefore, \:the\: value \:of \:∠\: A\: is \:23°.}[/tex]
To verify:-∠ A + ∠ B + ∠ C = 180°
✒ 23° + 90° + 67° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
Note:-
Please refer to the attached file.
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]