Answer:
Largest angle is "B" and smallest angle is "A".
Step-by-step explanation:
Given ∆ABC
AB = 10 cm , BC = 8 cm , AC = 15 cm
Angle opposite to side AB is "C"
Angle opposite to side BC is "A"
Angle opposite to side AC is "B"
we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.
Here,∆ABC largest side is AC and smallest side is BC.
Hence,largest angle is "B" and smallest angle is "A".
Create and interpret tables.
ASSIGNMENT
y.=4x
Y2=422
Y3=4*
Complete the table for each function. Then
answer the questions that follow.
a=]; b=1; CE; d =
d=O
e=;f=
=
f=9=
DONE
0
0
0
1
1
4
a
b
2
С
16
d
3
e
f
g
Answer:
a = 16 b = 4 c = 8 d = 16
e = 12 f = 36 g = 64
Step-by-step explanation:
a.
Equation = [tex]y_x = 4x^{2} \\x = 1\\y_1 = 4(1)^{2} \\y_1 = 4^{2} \\y_1 = 16 \\[/tex]
b.
Equation: [tex]y_x = 4^{x} \\x = 1\\y_1 = 4^{1}\\y_1 = 4[/tex]
c.
Equation: [tex]y_x = 4x\\x = 2\\y_2 = 4(2)\\y_2 = 8[/tex]
d.
Equation: [tex]y_x = 4^{x}\\x = 2\\y_2 = 4^{2}\\y_2 = 16[/tex]
e.
Equation: [tex]y_x = 4x\\x = 3\\y_3 = 4(3)\\y_3 = 12[/tex]
f.
Equation: [tex]y_x = 4x^{2} \\x = 3\\y_3 = 4(3)^{2} \\y_3 = 4(9)\\y_3 = 36[/tex]
g.
Equation: [tex]y_x = 4^{x}\\x = 3\\y_3 = 4^{3}\\y_3 = 64[/tex]
The missing values for the function are
a= 4
b=4
c=8
d=16
e=12
f= 36
g=64
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.
We have the table for three function.
Now, to find the following we have find the rate of change.
Function 1 : y= 4x
At x = 2 ; y= 8
At x= 3; y= 12
Function 2: y= 4x²
At x =1 ; y= 4
At x= 3; y= 36
Function 3 : y= [tex]4^x[/tex]
At x =1 ; y= 4
At x = 2 ; y= 16
At x= 3; y= 64
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For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 10. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.
The interval of systolic blood pressure will be between 155 to 95
What is the standard deviation?
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
From the question, we are told that
Mean x=125
Standard deviation = 10
The Percentage for men =99.75%
Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean
Standard deviation n= 10
Mean x= 125
Generally, the interval of systolic blood pressure for middle 99.7 of male G is mathematically given as
G = Mean ± (3x [tex]\sigma[/tex])
G= 125 ± (3 x 10)
G= 125 ± (30)
G = 155 and 95
Hence the interval of systolic blood pressure will be between 155 to 95
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Answer:
Step-by-step explanation:
7 mi.
7 mi.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
4)
C =
miles
A rectangle has a length of 2x+1 and a width of 3x-2. What is the perimeter of the rectangle?
Answer:
The opposite sides of a rectangle are equal in length ⇒ perimeter = 2(3x +1) +2(x + 1) Also the perimeter = 28.
Answer:
P=2(L+W)
Step-by-step explanation:
p=2(L+W)
2(2x+1)+2(3x-2)
4x+2+6x-4
10x-2
Find the volume of cone pictured below. Use 3.14 for π. Round your answer to the nearest hundredth.
The volume of the cone is
cubic yards.
Answer:
133.97 cu yds
Step-by-step explanation:
volume is 1/3 x pi x r^2 x h
When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 3 seconds. What percentage of races will his finishing time be between 69 and 75 seconds, to the nearest tenth?
Answer
60%
Step-by-step explanation:
Im not certain but i think its 60%,because the standard deviation is 6 and that as a percent is 60%
(20POINTS) I WILL MARK BRAINLIEST IMAGE IS BELOW
Answer:
10.6
Step-by-step explanation:
It forms a right angle traingle so use
16^2-12^2=112
and
root of 112=10.5830052443
Answer:
10.6cm is the radius
Step-by-step explanation:
1)First You square the lateral height (12cm)
=144
2)Then you square the height (16cm)
=256
3)Then you subtract height squared from lateral height squared
256-144=112
4)Then Find the square root from the result of step 3
112 squared is 10.58 (round to the nearest tenth)
10.6 is your answer!
Hope this helps BRAINLIEST PLEASE
Determine the following probabilites based on a standard deck of cards
1) Pblack or heart)=
2) Pired or 10) =
3) P(Q or 6) =
4) P(5 or club) =
5) P(picture card or 4) =
6) P(black 9 or red) =
There are 52 cards total.
Hearts and diamonds are red.
Clubs and spades are black
LQ and K are called picture cards.
Answer & Step-by-step explanations:
I assume they want probability as a decimal as opposed to a fraction. I will do two questions for you, apply the same logic to all the rest.
P(Black or heart):
There are 26 black cards in a deck, and 13 (red) hearts.
26 + 13 out of 52 cards.
39 / 52 as a decimal is 0.75
P(Black or heart) = 0.75 or 75%
If wanted as a fraction, simplify your fraction down
39/52 has a common factor of 13, divide both numbers by 13
P(Black or heart) = 3/4
P(Red or 10):
There are 26 red cards and four 10's in a deck. Two of these 10's are red, so we will not double count them.
26 + 2 out of 52 cards.
28 / 52 as a decimal is about 0.54 or 54%
P(Red or 10) = 0.54 or 54%
If wanted as a fraction, simplify your fraction down
28/52 has a common factor of 4, divide both numbers by 4
P(Red or 10) = 7/13
- What is h(-8) for h(x) =
4
F.
-40
G. -72
H. -52
J. -60
-7x?
Answer:
16
Step-by-step explanation:
(50 points) The points show the locations of different stores in a mall. Each unit represents 1 meter
Answer:
5.1m
Step-by-step explanation:
Distance=[tex]\sqrt{5^{2} +1^{2} }[/tex]
=5.1
Answer:
5.1 meters
Step-by-step explanation:
To Know :
Coordinates of Clothing Store = (5, -6)Coordinates of Music Store = (0, -5)Applying Distance Formula :
Distance = √(0 - 5)² + (-5 + 6)²Distance = √(-5)² + (1)²Distance = √25 + 1Distance = √26 metersDistance = 5.1 metersGiven the following absolute value equation, what would the coordinates of the vertex be?
y= -3 |x-5| +2
A (−5,2)(-5,2)(−5,2)
B (−3,−5)(-3,-5)(−3,−5)
C 5,2)(5,2)(5,2)
D (2,−5)(2,-5)(2,−5)
Answer:
C. (5,2)
Step-by-step explanation:
For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like
f(x -h) +k
and the vertex moves to (h, k).
__
Here, the parent function |x| has its vertex at (0, 0). Writing it as ...
-3|x -5| +2
moves its vertex to (h, k) = (5, 2).
_____
Additional comment
The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.
City university projects that planned expansion will increase the number of enrolled students every year for the next five years by 10%. If 400 students enroll in the first year of the plan how many students are expected to enroll in the fifth year of the plan ?
The number of students that are expected to enroll in the fifth year of the plan is 644.
How many students are expected to enroll in the fifth year?The formula that can be used to determine the future value of the population is:
FV = P (1 + r)^n
FV = Future value P = Present value R = rate of increaseN = number of years400 x (1.1)^5 = 644
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I need help! Find the measure of the indicated angle to the nearest degree.
Answer:
hope this will help you (•‿•)
Step-by-step explanation:
[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]
If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect?
1.5 percent
2 percent
2.5 percent
3 percent
The Probability of a chain defect will be 3%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Let B be the event that brake defect .
Let C be the event that chain defect.
Since we have given that
Probability of a brake defect P(B) = 4%
Probability of both chain and brake defect P(B∩C) = 1%
Probability of either brake or chain defect P(E∪C) = 6%
So, we need to find the probability of a chain defect.
As we know the rule of probability.
P ( B U C ) = P(A) + P (B) - P ( B [tex]\cap[/tex] C)
6 = 4 + P (C) - 1
P (C) = 3
Hence, Probability of a chain defect is 3%.
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what is 1x3 and 1x8 help please jucie
Answer:
1×3=3 and 1×8=8 this is the answe right? and if you add these it will come 11
Answer:
3 and 8
Step-by-step explanation:
here is another one for you all
Answer:
0.0000045
[tex]10^5 = 10 * 10 * 10 * 10 * 10 = 100,000\\\\0.45 / 100,000 = 0.0000045[/tex]
When it comes to tiny floating numbers, that means multiply a number by itself the number of times the floating exponent says to.
Answer:
[tex]0.0000045[/tex]
Step-by-step explanation:
Rewrite it as a fraction:
[tex] \frac{0.45}{ {10}^{5} } [/tex]
Calculate it:
[tex] \frac{0.45}{100000} [/tex]
Rewrite the fraction:
[tex] \frac{45}{10000000} [/tex]
Simply:
[tex] \frac{9}{2000000} [/tex]
Turn it into a decimal:
[tex]0.0000045[/tex]
(Need help fast due today and will fail if not done today!) Select True or False for each statement about the function y = 8x2 − 4.
Answer:
1. False
2. True
3. False (Not sure about this one)
4. True
5. False
Find length AC. Give answer to 2 decimal places.
Answer:
6.62cm
Step-by-step explanation:
tan = opp/adj
opp = adj(tan)
opp = 13(tan(27))
opp = 6.62cm
The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?
Another way of expressing the radius is to express it as a decimal given as r = 19.108 cm
What is a circle?The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.
Given the expression for the radius of the circle given as
[tex]r=\dfrac{60}{\pi}[/tex]
We can also express the radius as a decimal instead of a fraction.
Given that π = 3.14, Substitute into the expression of the radius to have:
[tex]r=\dfrac{60}{3.14}=1.9.108\ cm[/tex]
Hence another way of expressing the radius is to express it as a decimal given as r = 19.108 cm
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A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg
By taking the product between density and volume we will see that the mass is 284.2 kg
How to find the mass of helium?Remember that density is the quotient between mass and volume, then:
mass = density*volume.
Here we know that:
volume = 1,592 m³density = 0.1785 kg/m³Taking the product of these two we get:
mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg
So the correct option is the second one.
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Answer:
284.2 kg my good sir
Step-by-step explanation:
Big brain
Mathew sells half the books in his library. After
he does this, he buys 6 more books. Now he has
102 books. How many books did he have to start
with?
The width of a rectangle is 2x + 2. The length of a rectangle is 3x + 3. What is
the area of the rectangle?
A coin is flipped 150 times the results of the experiment are shown below
Heads 84
Tails 66
Witch of the fallowing statements BEST describes the experimental probability of getting heads
Answer:
See below
Step-by-step explanation:
66 out of (84+66) = 66/150 = 11/25 experimental chance of heads
this is 6% LOWER than the theoretical chance of getting heads (which is 1/2).
What is the median?
767
-765
767
769
769
-770
-767
768
sumbit
Answer:
767
Step-by-step explanation:
How do exponents fit into the order of operations
Answer:
Exponents are done before addition, subtraction, multiplicaton, and division
Step-by-step explanation:
PEMDAS=
Parenthases
Exponents
Multiply
Divide
Add
Subtract
Badia is the apprentice at the local screws and nails factory. The other day she made some six - inch nails. Charli who works next to her made one and half times as many as Badia, but Siva made twice as many as Charli. They all made a total of 110 six - inch nails.
45. How many did Badia make?
46. How many did Charli make?
47. How many did Siva make?
Answer:
45. 20
46. 30
47. 60
Step-by-step explanation:
Let :
Badia = xCharli = 1 1/2x = 1.5xSiva = 2(1.5)x = 3xSolving
x + 1.5x + 3x = 1105.5x = 110x = 20Solution
Badia = 20Charli = 30Siva = 60Answer:
Badia made 20 nails
Charli made 30 nails
Siva made 60 nails
Step-by-step explanation:
Let b = number of nails Badia made
Let c = number of nails Charli made
Let s = number of nails Siva made
Given:
Charli made one and half times as many as Badia⇒ Equation 1: c = 1.5b
Given:
Siva made twice as many as Charli⇒ Equation 2: s = 2c
Given:
They all made a total of 110 nails⇒ Equation 3: b + c + s = 110
Substitute Equation 1 into Equation 2:
⇒ s = 2(1.5b) = 3b
Substitute s = 3b and Equation 1 into Equation 3 and solve for b:
⇒ b + c + s = 110
⇒ b + 1.5b + 3b = 110
⇒ 5.5b = 110
⇒ b = 20
Substitute found value of b into Equation 1 and solve for c:
⇒ c = 1.5b
⇒ c = 1.5(20)
⇒ c = 30
Substitute found value of c into Equation 2 and solve for s:
⇒ s = 2c
⇒ s = 2(30)
⇒ s = 60
Therefore:
Badia made 20 nailsCharli made 30 nailsSiva made 60 nailsI need help with this
Answer:
a. 0.444444
b. 0.87
Step-by-step explanation:
a. (-2).(-4.5)
= -2 / -4.5
= 0.44444
u will do the same to the second question
Compute a value for x that satisfies the equation below.
-x + 5 = 1
A. x=4
B. x=-1
C. x = 0
D. X= 4
Step-by-step explanation:
-4+5
=1
therefore the answer is A.
Answer:
D) x=4
Step-by-step explanation:
-x+5=1
-x=1-5
-x=-4
x=4
solve the system of equations below *urgent*
7x+6y=-10
-2x+y=11
F. (-4,3)
G.(-5,1)
H.(7,9)
I. no solution
find the value of each of the lettered angles in the diagram below
Answer:
Angle a = 114 Angle b = 114 Angle c = 66 Angle d = 66
Step-by-step explanation:
180 - 48 = 132
132/2= 66
180 - 66 = 114