Answers
Answer:
CD = 4.4
Step-by-step explanation:
AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:
CD/CA = DB/AB
CD = ?
CA = 5.6
DB = 4
AB = 5.1
Therefore:
CD/5.6 = 4/5.1
Cross multiply
CD*5.1 = 4*5.6
CD*5.1 = 22.4
Divide both sides by 5.1
CD = 22.4/5.1
CD = 4.39215686
CD = 4.4 (1 decimal place)
Related Questions
Determine the surface area of the cylinder in terms of π.
602π cm2602π cm2
812π cm2812π cm2
308π cm2308π cm2
518 cm2
Answers
Explanation: sa= 2pi (r^2) + 2pi (r)h Diameter is 8cm so radius is 4cm
Sa=2pi(4^2)+ 2pi(4) 17
Sa= 32pi + 136pi
Sa= 168 pi 2cm
Camille goes to sleep at 8:30 pm and wakes up at 6:00 am. How long does Camille sleep?
Answers
Answer:
9. 5 Hours
Step-by-step explanation:
8:30 AM to 12:00 PM = 3.5 hours
12:00 PM to 6:00 PM = 6 hours
Total = 6 + 3.5 = 9.5 hours
Hope this answer helps you :)
Have a great day
Mark Brainliest
Anybody have the correct Answer for this math problem?
Answers
Answer:
Teorema de Pitágoras
Step-by-step explanation:
Answer is 9.
Please help me with this question!
Answers
Answer:
n=7
Step-by-step explanation:
If they are both increased by 7, you will have 12/18, which is equal to 2/3
Justin played video games for the following amounts of time this past week: 42 minutes, 35 minutes, 28 minutes, 55 minutes, and 57 minutes. What was the median amount of time Justin played video games this past week?
Answers
Answer:
28, 35, 42, 55, 57
5 numbers
Middle number - 42
i need to finish this usa test prep now plz help
Answers
Answer:
R = 101
S = 131
Step-by-step explanation:
First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.
T=180-128
T=52
You also know that all angles in a triangle equal to 180
Use that to find angle S
180 = R+S+T
180 = 79 + S + 52
180 - 79 - 52 = S
49 = S, exterior S = 180-49 = 131
Exterior R = 180 - 79 = 101
Now add all your exteriors
Maria practiced for her piano recital each day for three days. The first day she practiced for hour, the second day she practiced for hours, and the third day she practiced for hours. By how much did she increase the time she practiced each day? Group of answer choices
Answers
Answer:
3/4
Step-by-step explanation:
Maria practiced for her piano recital each day for three days. the first day she practiced for 3/4 hour, the second day she practiced for 1 1/2 hours, and the third day she practiced for 2 1/4 hours. by how much did she increase the time she practiced each day?
the increase in hours practiced can be determined by calculating the difference between the hours practiced on the second and first day
[tex]1\frac{1}{2} - \frac{3}{4}[/tex]
[tex]1\frac{2 - 3}{4}[/tex] the lowest common multiple that can divide 2 and 4 is 4.
[tex]\frac{6-3}{4}[/tex] if 2 is subtracted from 3, the answer would be negative. So, borrow 1 from the whole number. the value of this borrowed one would be equal to 4 which is the LCM. Add 4 to 2. this gives 6
[tex]\frac{3}{4}[/tex]
Please Help! Answer full step by step.
Triangle ABC has vertices A(- 3, - 4), B(16, - 2) and C(13, - 10) . Show algebraically that ABC is a right angled triangle.
Answers
Triangle ABC has the three sides AB, BC, and AC.
Let's find the slope of each line. We'll use the slope formula
Let's start with the slope of line AB.
A = (-3, -4) = (x1,y1)
B = (16, -2) = (x2,y2)
m = slope
m = (y2-y1)/(x2-x1)
m = (-2-(-4))/(16-(-3))
m = (-2+4)/(16+3)
m = 2/19
The slope of line AB is 2/19. I'll keep it in fraction form.
We'll use this later, so let p = 2/19.
---------------
Repeat those steps to find the slope of BC
B = (16, -2) = (x1,y1)
C = (13, -10) = (x2,y2)
m = (y2-y1)/(x2-x1)
m = (-10-(-2))/(13-16)
m = (-10+2)/(13-16)
m = -8/(-3)
m = 8/3
The slope of line BC is 8/3.
Let q = 8/3 so we can use it later.
---------------
Now find the slope of line AC.
A = (-3, -4) = (x1,y1)
C = (13, -10) = (x2,y2)
m = (y2-y1)/(x2-x1)
m = (-10-(-4))/(13-(-3))
m = (-10+4)/(13+3)
m = -6/16
m = -3/8
The slope of line AC is -3/8
Let r = -3/8.
---------------
To recap everything so far, we have
p = slope of line AB = 2/19q = slope of line BC = 8/3r = slope of line AC = -3/8We can see that,
p*q = (2/19)*(8/3) = 16/57q*r = (8/3)*(-3/8) = -1p*r = (2/19)*(-3/8) = -6/152 = -3/76Of those slope multiplications, q and r multiply to -1 is what we should focus on. If two slopes multiply to -1, then their lines are perpendicular. This applies to any perpendicular lines where neither line is vertical, and neither is horizontal.
The fractions 8/3 and -3/8 are negative reciprocals of one another. We flip the fraction and flip the sign from positive to negative, or vice versa. This is another way to see we have perpendicular slopes.
So in short, we've shown that BC and AC are perpendicular, and therefore triangle ABC is a right triangle.
----------------------------------------------------------------
To solve this problem a completely different way, we could follow this outline:
Step 1) Find the length of each side AB, BC, and AC. Use the distance formula. Step 2) Apply the pythagorean theorem converse. If you can show a^2+b^2 = c^2 is true, then the triangle with sides a,b,c is a right triangle, where c is the longest side (hypotenuse) opposite the right angle.Through step 1, you should find that,
AB = sqrt(365)BC = sqrt(73)AC = sqrt(292)Let a = sqrt(73), b = sqrt(292), c = sqrt(365). You should find that a^2+b^2 = c^2 is a true statement based on those values, and therefore we have a right triangle. The longest side is AB = sqrt(365), making angle C to be the 90 degree angle. The diagram is shown below. I used GeoGebra to make the diagram.
Solve the equation
-4(2-1.2x) = 40
Solve the equation
9=6y+33
Answers
Answer:
x = 10
y = -4
Step-by-step explanation:
[tex]\ -4(2 - 1.2x ) = 40\\\ -8 + 4.8x = 40\\\ 4.8x = 40+8\\\ 4.8x = 48\\x = \frac{48}{4.8} = \frac{48 \times 10}{48} = 10[/tex]
[tex]9 = 6y + 33\\6y = 9 -33\\6y = -24\\y = -4[/tex]
Which statement is true? Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.
Answers
Answer:
STATEMENT NO. 4 IS CORRECT.
Step-by-step explanation:
Because every rectangle has two pair of parallel lines so it can be called a parallelogram.
Renee wrote the pattern shown below. What is the rule for following Renee's pattern? 23, 47, 95, 191 A. multiply by 2 B.multiply by 2, add 1 C.multiply by 2, add 2 D.multiply by 2, subtract 1
Answers
Answer:
B. Multiply by 2, add 1
explanation:
23× 2 = 46 + 1 = 47
47 × 2 = 94 + 1 = 95
95 × 2 = 190 + 1 = 191
Helpppppppppppppppppppp
Answers
Answer:
930 in^2
Step-by-step explanation:
Area of a parallelogram is Base x Height.
so, 30 x 31 = 930.
Answer: 930 in ^2
Step-by-step explanation:
Area is width x height.
Width = 30
Height = 31
30x31 = 930
Which statement make correctly uses limits determine a vertical asymptote of G(x)=-7(x-5)^2(x+6)/(x-5)(x+5)
Answers
Answer:
There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]
There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]
Step-by-step explanation:
The exact question is as follows :
Given - G(x) = -7(x-5)^2(x+6)/(x-5)(x+5)
To find - Which statement make correctly uses limits determine a vertical Asymptote of G(x)
Solution -
Vertical Asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.
Here the given function is the rational function
Denominator of G(x) = (x - 5)(x + 5)
So,
Put denominator = 0, we get
(x - 5)(x + 5) = 0
⇒x = 5, -5
∴ we get
G(x) has vertical Asymptotes at x = 5 and x = -5
Now,
At x= 5
[tex]\lim_{x \to 5^{-} } G(x) = \infty\\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]
And
At x = -5
[tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]
∴ we get
There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]
There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]
Answer:
Step-by-step explanation: A
HELP ME THANK U π×π
Applying the Pythagorean theorem, solve this triangle.
Answers
Answer:
20
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
21^2 + b^2 = 29^2
441+b^2 =841
Subtract 441 from each side
441 +b^2 -441 = 841-441
b^2 = 400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b =20
Please help ASAP! Will Mark Brainliest!
Answers
4/5=m/10
m=8
Answer:
m = 18
Step-by-step explanation:
10/15 = m/12
Cross multiply using the butterfly method.
15m = 10*12
15m = 120
Divide both sides by 15.
m = 8
I personally like to use ratios but I am not sure if that's what you want. Anyway here's my answer
Can someone pls give me the answer to this?
Answers
Answer:
This is all the above
Step-by-step explanation:
all answers are true to this graph
(Mr. Garduño got the dartboard pictured below for
Christmas. It is a regulation size dartboard with a
diameter of 18 inches. It is divided into 20 sectors
(slices). What is the length of the outside arc in each
sector?
Answers
Answer:
fart I have a great job and the people whose this movie I don't have to work on that is a great job with your family for a relationship but not in a Philippine language is
Help is all I need..
Answers
Answer:
[tex] {(x - 1)}^{2} = 16 \\ x - 1 = |4| \\ x = |4| + 1[/tex]
x = +4 +1
x = +5
and
x = -4 + 1
x = -3
if the product of any two rational numbers is 2 and one of them is 1/7, find the other
Answers
Answer:
14
Step-by-step explanation:
1/7*X=2
X=2/(1/7)
X=2*7
X=14
➪ Product of two rational numbers = 2
➪ One of the number = [tex] \frac{1}{7} [/tex]
To find:-➪ The other number.
[tex]\huge{\boxed{\boxed{\tt{\purple{Solution\:⤵}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is\: 14.}[/tex] ✅
Step-by-step explanation:-❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]product \: of \: two \: rational \: numbers \: = 2 \\ ⇢ \frac{1}{7} \times x = 2 \\ ⇢ x = 2 \times 7 \\ ⇢ x = 14[/tex]
[tex]\sf\red{Therefore,\:the\:other\: number\: is\: 14.}[/tex]
To verify:-[tex] \frac{1}{7} \times 14 = 2 \\➪ \: \frac{14}{7} = 2 \\ ➪ \: 2 = 2\\ ➪ \: L. H. S. = R. H. S.[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
For which function does f decrease by 15% every time x increase by 1? A: f(x)= 0.15^x B: f(x)=8.5^x C: f(x)=15^x. D: f(x)=85^x
Answers
Answer:
[tex]f(x) = (0.85)^x[/tex]
Step-by-step explanation:
Exponential amount of decay:
The equation for an amount that decays exponentially has the following format:
[tex]A(x) = A(0)(1 - r)^x[/tex]
In which r is the decay rate, as a decimal.
Decrease by 15%
This means that [tex]r = 0.15[/tex]. So
[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]
So
[tex]f(x) = (0.85)^x[/tex]
x + y=100 x-y=10 pair of equation
Answers
Answer:
x = 55, y = 45
Step-by-step explanation:
add both equations: 2x = 110, x= 55, input back in to get y = 45
This is Right answer.....
I hope you understand....
Thanks....
I need help can you guys help me
Answers
Answer:
90
Step-by-step explanation:
a right angle is always 90 degrees
Explanation- because a triangle has to =180 degrees so if you have one right triangle (90 degrees) the other two angles have to add together to make 90.
Calculate the pressure acted on an area of 30 square meter by a force of 15N
Answers
Answer:
pressure is force/area
Step-by-step explanation:
answer is 15/30. here's the equation. P=F/A
Answer:
0.2N/m^2
Step-by-step explanation:
P = Force / Area
P = 15N / 30m^2
P = 0.2 N/m^2
Mrs. Franklin sells MSU hats and sweatshirts. She is hoping to earn $500 by charging
$20 for each sweatshirt and $10 for each hat. If she sells a total of 30 items, Mr.
Sanders wants to know how many of each item she sells.
Time
Atten
30N
Let H represent the number of hats and S represent the number of sweatshirts.
What equation relates S and H to the total Money earned?
205 + 10H = 500
105 + 20H - 500
105 = 500
10H - 400
Answers
Answer:
The answer is 20s+10h=500
Step-by-step explanation:
The reason is because 20 times 20=400 and then 10 times 10= 100 then you add those together and get $500
If ABC is reflected across the y-axis, what are the coordinates of A?
Answers
Answer:
A. (2,5)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
In a survey of a town, 54% of residents own a car, 34% of residents own a truck, and 11% of residents own both a car and a truck. What is the conditional probability that a person who owns a car also owns a truck? Round to the nearest whole number.
Options:
20%
46%
23%
32%
Answers
please help me out with this equation!
i will mark you as brainliest
Answers
Answer:
A)-19,15,-9,-1,9
Step-by-step explanation:
that's the answer when I compute it
===================================================
Explanation:
If we plug in x = -2, then we get,
y = x^2 + 7x - 9
y = (-2)^2 + 7(-2) - 9
y = 4 - 14 - 9
y = -10 - 9
y = -19
So x = -2 leads to y = -19. The answer is between A and D.
---------
If you repeat those steps for x = -1, then you should get y = -15
Then x = 0 leads to y = -9
x = 1 leads to y = -1
Finally, x = 2 leads to y = 9
The outputs we get are: -19, -15, -9, -1, 9 which is choice A
Choice D is fairly close, but we won't have a second copy of -15, and we don't have an output of -19.
y>-4x+5 and y>2x-7, how to graph it?
Answers
Answer:
Graph.
y>−4x+5 and y>2x−7
Step-by-step explanation:
Solve by elimination
2x - 3y = -6
-2x - 2y = 26
Answers
Answer:
x= -9 y= -4
Step-by-step explanation:
Step 1:
2x-3y=-6
+ -2x-2y=26
_____________
-5y=20
Step 2:
Get y by itself by dividing -5 on both sides
20/-5=-4
Therefore, y= -4
Step 3:
Plug -4 into the y for the first equation to get the number for x
2x-3(-4)=-6
2x+12=-6
2x= -18
x= -9
I will give you brainliest and 5 star and thanks if its correct
Answers
Answer:
A
Step-by-step explanation:
The first graph shows a dot on .5 and the recipes calls for half a cup of sugar.
Answer:
Step-by-step explanation:
[tex]f=\frac{1}{2}s[/tex] is the graph of a straight line with a slope of 1/2. This implies that for every cup of sugar, 1/2 a cup of flour is needed. This also implies what the graph looks like in a coordinate plane. Slope is defined as rise over run, or y over x, so if our slope is 1 over 2, from the origin we go up 1 unit and over 2 units along the length of the whole line. The only graph that displays this slope is graph A.