In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 2 in. Find the perimeter of △ABC if AB = 12 in. PLEASE HELP ILL AWARD MORE BRAINLY POINTS
Answers
Answer:
28 inches
Step-by-step explanation:
The point of intersection of the angle bisectors is the incenter. It is the center of a circle tangent to the three sides of the triangle. The circle has radius 2.
In the attached figure, we have labeled the points of tangency D, E, and F. We know that CE and CF are both of length 2, and we know that the points of tangency are the same distance from an external point where the tangents intersect. That means DA = FA and DB = EB.
The perimeter of the triangle is ...
P = DA +DB +FA +EB +CF +CE
Using the above relations, this can be written as ...
P = DA +DB +DA +DB +CF +CE = 2(DA +DB) +2(CE)
We are told that AB is 12 inches, so DA +DB = 12 inches. We also know that CE = 2 inches, so the perimeter is ...
P = 2(12 in) + 2(2 in) = 28 in
The perimeter of triangle ABC is 28 inches.
Related Questions
Which of the following expressions demonstrates the distributive property?
3 + 4 + 5 = 4 + 3 + 5
-2(5 + 7) = -2(7 + 5)
O 3(-8 + 1) = 3(-8) + 3(1)
6[(7)(-2)] = [(6)(7)](-2)
Answers
Answer:
3(-8 + 1) = 3(-8) + 3(1)
Step-by-step explanation:
The distributive property is quite literally when you distribute numbers. This is the only instance of that happening here
The first two are the communitive property of addition, and the last one is the communitive property of multiplication.
Cheers.
Answer:
c
Step-by-step explanation:
50 points! I would appreciate an explanation, I actually want to know how to do this. Thanks! :P
Answers
Answer:
1.
(a) The Domain is the set of inputs of the function.
Considering that the function takes a period of 3 weeks (21 days), the domain is [0, 21], once we can't evaluate what happens after the 21st day.
[tex]\text{Domain is } [0, 21][/tex]
Otherwise, it could be [tex][0, \infty)[/tex]
Note: We include 0 and 21.
Once the greatest balance was $400, it will not exceed $400, either it doesn't show negative values.
[tex]\text{Range is } [0, 400][/tex]
Note: We include 0 and 400.
(b)
Once the greatest balance was $400, when x=0, it seems that the y-value is half of $400, therefore, approximately $200. It also represents the initial value, the amount of money when she opened the account.
(c)
[tex]f(x)=B(d)[/tex]
[tex]B(12)=0[/tex]
(d)
It is in segment 4.
The balance equal to zero means that the y-value of the graph is zero, therefore in the x-axis.
|10-11| = simplify the expression
Answers
Answer:
1
Step-by-step explanation:
Let's ignore the absolute value signs for a moment.
We have the expression [tex]10-11[/tex]. We know that if we subtract 10 from 10 we get 0, so if we subtract 11 from 10 we must get -1.
However, there is an absolute value sign. This means that whatever number is inside it has to be converted to a positive number.
-1 as a positive number is +1, or just 1.
Hope this helped!
maggie’s brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie
Answers
Answer:
I HOPE IT WILL WORK
Step-by-step explanation:
let age of Maggie =x years
as given that Maggie brother is 3 year less than twice of her age
hence
brother = (2x-3) years
also given that sum of ages =24
hence
x+(2x-3)=24
3 x-3=24
3 x=27
x=9 years Maggie
so his brother=9-3=6 years
pls hit the star and brainlist it if you found it helpfull thanks
Mildred’s salary has increased from £24,600 to £25,338. By what percentage has her salary increase?
Answers
Answer:
The answer is 3%Step-by-step explanation:
To find the percentage increase we use the formula
[tex]Percentage \: change = \frac{ change}{original \: quantity} \times 100[/tex]
To find the change subtract the smaller quantity from the bigger one
From the question
original price = $24,600
Current price = $ 25,338
Change = $25,338 - $ 24,600
Change = $ 738
So the percentage increase is
[tex] \frac{738}{24600} \times 100[/tex]
[tex] = \frac{3}{100} \times 100[/tex]
We have the final answer as
Percentage increase = 3%Hope this helps you
Lilianna uses \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction calories per minute just by sitting. She uses 111 more calorie per minute by walking. Lilianna uses a total of 12\dfrac{1}{4}12 4 1 12, start fraction, 1, divided by, 4, end fraction calories walking to the park. Lilianna uses the equation, d\left(\dfrac{3}{4}+1\right)=12\dfrac{1}{4}d( 4 3 +1)=12 4 1 d, left parenthesis, start fraction, 3, divided by, 4, end fraction, plus, 1, right parenthesis, equals, 12, start fraction, 1, divided by, 4, end fraction to represent the situation. What does the variable ddd represent in the equation? Choose 1 answer: Choose 1 answer: (Choice A) A Calories per minute Lilianna uses walking (Choice B) B Number of calories Lilianna would have used sitting (Choice C) C Number of minutes Lilianna walked
Answers
The Variable d in the equation represents the time per minute Lilianna spends walking to the park
VariableCalories used by sitting = 3/4Calories used by walking = 1Total calories used walking to the park = 12 1/4The equation:
d(3/4 + 1) = 12 1/4
d(3+4/4) = 12 1/4
d(7/4) = 49/4
d = 49/4 ÷ 7/4
= 49/4 × 4/7
= 49/7
d = 7
Complete question:
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?
Learn more about variable:
https://brainly.com/question/11885867
#SPJ1
∠4 and ∠6 can be classified as:
Answers
Answer:
same side interior angles
Step-by-step explanation:
<4 and <6 are same side interior angles
Same side interior angles are on the same side of the transversal and inbetween the two lines
Can I name my Angle VTS as STV? And use it interchangeably in proving?
Answers
Answer:
both angles are the same, so you can use it interchangeably in proving.
But i suggest you to mantain only one, because it's easier to understand and it looks better.
if a man works 400km in 6 minutes.How long will he work in 9 minutes
Answers
Answer:
600 kmStep-by-step explanation:
400 km = x
6 min 9 min
cross multiply:
6x = 400 ( 9)
x = 3600 / 6
x = 600 km
A file that is 276 megabytes is being dowloaded. If 16.7% complete how many megabytes have been dowloaded? Round your answer to the nearest tenth
Answers
Answer:
30.9 mb
Step-by-step explanation:
ASAP PLEASE GIVE CORRECT ANSWER
In a rectangular coordinate system, what is the number of units in the distance from the origin to the point $(-15, 8)$? Enter your answer
Answers
distance of a point [tex](x,y)[/tex] from origin is $\sqrt{x^2+y^2}$
so distance is $\sqrt{(-15)^2+(8)^2}=\sqrt{225+64}=\sqrt{289}=17$
Answer:
Distance=17 units
Step-by-step explanation:
Coordinates of the origin: (0, 0)
Coordinates of the point in question: (-15, 8)
Distance formula for any two points [tex](x_1,y_1), (x_2,y_2)[/tex] on the plane:
[tex]distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance=\sqrt{(-15-0)^2+(8-0)^2}\\distance=\sqrt{(15)^2+(8)^2}\\distance=\sqrt{225+64} \\distance=\sqrt{289} \\distance=17[/tex]
help with math again please
Answers
ANSWER:
It is C
NO EXPLANATION
un automóvil recorre 90 km con 2 galones de gasolina cuantos kilómetros recorre con 11 galones de gasolina y cuantos galones de gasolina necesita para recorrer 650 km
Answers
Answer:
Recorrera 495 km con 11 galones de gasolina
Y necesitara 14.44 galones para recorrer 650 km
Step-by-step explanation:
k g k g
90 2 90 2
x 11 650 x
=(11 x 90)/2 =(650x2)/90
=990/2 =1300/90
=495 km =14.44
I NEED HELP!! which expression is the radical form of x - 9/8
Answers
Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation.
Your "x - 9/8" should be x ^(-9/8).
The 8 represents "the eighth root" of x, and the -9 represents the power to which x is to be raised. Finally, the " - " sign shows that this 9th power is in the denominator.
x ^(-9/8) in radical form is ----------------
[tex]1 divided by \sqrt[8]{x^9\\} \\[/tex]
A caterer needs to know the volume of the remaining cake to determine how many servings she has. What is the volume of the remaining cake?
Answers
Explanation:
To find volume of the remaining shape:
V (remaining) = V (original shape) - V (taken)
Find Volume of the original shape:
V(original) = 16 x 6 x 4 = 384 in^3
Find the volume of the taken shape:
V(taken) = 8 x 4 x 3 = 96 in^3
Find the volume of the remaining shape:
V (remaining) = 384 - 96 = 288in^3
Step-by-step explanation:
Hello, there!!!
Let's simply work with it,
Firslty let's assume the whole cake, when you assume the cake in whole. you get,
length (l)= 16 in
breadth (d)= 6 in
and height (h)= 4 in
now, as it is a rectangle shaped cake,
volume of a whole cake (v)= l×b×h
or, v= 16 in × 6 in × 4 in.
Therefore, the volume of whole cake is 384 cubic inch.
now,
let's find the volume of eaten part,
As per the picture, the 1/4th part of cake is eaten so,
length = 8 in
breadth = 3in
and height = 4in.
so, volume of eaten part = l × b × h
v= 8in × 3in × 4in
Therefore , v= 96 cubic inch.
now, lastly finding the volume of remaining part,
v. of remaining part = v.of whole cake - v. of eaten part.
or, v. of remaining part = 384 in^3 - 96 in^3
Therefore, the volume of remaining part is 288in^3.
Hope it helps....
A radioactive substance decays exponentially. A scientist begins with 350 milligrams of a radioactive substance. After 14 hours, 175 mg of the substance remains. How many milligrams will remain after 20 hours
Answers
Answer:
N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg
therefore, N(t)=130∗.545/24=35.44mg
Step-by-step explanation:
N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg
therefore, N(t)=130∗.545/24=35.44mg
Answer:
≈ 130 mg
Step-by-step explanation:
This is about the half-life of the substance.
There is a formula for this kind of calculations:
N(t)= N₀*(0.5)^(t/T), where
N(t) = substance left after time period of t,t = time passed,N₀ = initial amount of the substance,T = hal-life time of the given substance.In our case, we have:
N₀ = 350 mg,t= 20 hours,T = 14 hours as half of substance decays during this time period,And the calculation:
N(20)= 350*(0.5)^(20/14)N(20) ≈ 130 mgAnswer: about 130 mg of substance remains after 20 hours
Manipulate the radius and height of the cone, setting different values for each. Record the radius, height, and exact volume of the cone (in terms of π). The first one has been done for you. Also calculate the decimal value of the volume, and verify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.)
Answers
Answer:
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= 2000π unit³
Volume= 6284 unit³
Step-by-step explanation:
The decimal value of the volume already given= 600π
The decimal value of the volume already given= 600*3.142
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= πr²h/3
Volume= 11²*12/3 *π
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume = πr²h/3
Volume= 4²*6/3(π)
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= πr²h/3
Volume= 20²*15/3(π)
Volume= 2000π unit³
Volume= 6284 unit³
Here's the right answer.
Line R: 2x + 2y = 18 Line M: x + y = 9 Which statement is true about the solution to the set of equations?
Answers
Answer:
Step-by-step explanation:
2x + 2y = 18
-2x -2y = -18
0 = 0
infinite solution of equations
Flaming BBQ restaurant makes a dipping sauce with 9 mL of hot sauce for every 6 ounces of barbecue sauce. Which of the following mixtures will taste the same as flaming BBQ's dipping sauce?
Choose 3 answers:
A. 6 mL of hot sauce mixed with 20 oz of barbecue sauce
B. 3 mL of hot sauce mixed with 2 oz of barbecue sauce
C. 45 mL of hot sauce mixed with 30 oz of barbecue sauce
D. 24 mL of hot sauce mixed with 18 oz of barbecue sauce
E. 12 mL of hot sauce mixed with 8 oz of barbecue sauce
pls help me ;-;
Answers
Answer:
B, C , and E
Step-by-step explanation:
for 9 ml of hot sauce (x) +6 ounces of BBQ sauce(y)= flaming BBQ(c)
9x+6y=c
B: 3x+2y will give the same taste ( the quantity reduced to one third)
C: 45x+30y will give the same taste ( the quantity multiply by 5)
E:12 x+8y will give the same taste ( the quantity multiplied by 0.75)
You need to prepare 30mL solution of a 1:8 syrup solution. You have on hand 50% syrup solution and a 1:20 soda solution. How many mL of each solution do you need to create the final solution?
Answers
Answer:
5 ml of 50% syrup solution will be used to create the final solution
Step by step Explanation:
Let the amount of 50% solution that was used = b
Which means ( 30 - b ) is the amount of 1/200 solution used then we can derive an equation as follows,
set up will then be,
0.5b +0.05(30 -b) = 1/8 (30)
We can simplifiy this as
0.5b+ 1.5 -0.05b = 3.75
Then make b the subject of the formula we have
0.45b = 2.25
b= 2.25/0.45
b = 5 ml
Therefore, 5ml of 50% syrup solution will be used to create the final solution
How do I solve this?
Answers
Answer:
[tex]\Large \boxed{- \frac{1}{5}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \sqrt[3]{-\frac{1}{125} }[/tex]
Distribute the cube root to the numerator and denominator.
[tex]\displaystyle -\frac{\sqrt[3]{1} }{\sqrt[3]{125} }[/tex]
Solve for the cube root.
[tex]\displaystyle - \frac{1}{5}[/tex]
Please answer this question now
Answers
Answer:
PQ = 17
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, thus
TS = TU = 6
VU = VO = 20
PO = PQ = 37 - VO = 37 - 20 = 17
That is PQ = 17
Given \qquad m \angle LONm∠LONm, angle, L, O, N is a straight angle. \qquad m \angle MON = 8x - 13^\circm∠MON=8x−13 ∘ m, angle, M, O, N, equals, 8, x, minus, 13, degrees \qquad m \angle LOM = 7x - 17^\circm∠LOM=7x−17 ∘ m, angle, L, O, M, equals, 7, x, minus, 17, degrees Find m\angle MONm∠MONm, angle, M, O, N:
Answers
Answer:
[tex] \boxed{99°}[/tex]Step-by-step explanation:
m<MON = 8x - 13°
m<LOM = 7x - 17°
To find : m <MON
First, we have to find the value of x :
Create an equation
[tex] \mathrm{8x - 13 + 7x - 17 = 180}[/tex] ( sum of angle in straight line )
Collect like terms
[tex] \mathrm{15x - 13 - 17 = 180}[/tex]
Calculate
[tex] \mathrm{15x - 30 = 180}[/tex]
Move constant to R.H.S and change its sign
[tex] \mathrm{15x = 180 + 30}[/tex]
Calculate the sum
[tex] \mathrm{15x = 210}[/tex]
Divide both sides of the equation by 15
[tex] \mathrm{ \frac{15x}{15} = \frac{210}{15} }[/tex]
Calculate
[tex] \mathrm{x = 14}[/tex]
Now, let's find the value of m<MON
[tex] \mathrm{8x - 13}[/tex]
Plug the value of x
[tex] \mathrm{ = 8 \times 14 - 13}[/tex]
Calculate the product
[tex] \mathrm{ = 112 - 13}[/tex]
Calculate the difference
[tex] \mathrm{ = 99}[/tex] °
Hope I helped!
Best regards!
Answer:
48
Step-by-step explanation:
because i say so
Which point would be a solution to the system of linear inequalities shown below? {see image for inequalities}
(-10, -2)
(−5,2)
(10,7)
(10,−2)
Answers
Answer:
(10, -2)
Step-by-step explanation:
The inequalities are:
y < x - 7 (1)
y < (1/5)x - 2 (2)
To solve this problem, we have to solve both equations simultaneously and then find the value of x and y that makes the inequality true.
To solve the inequality, subtract inequality (2) from inequality (1) which gives:
0 < (4/5) x - 5
-(4/5)x < -5
Dividing both sides of the equation by -4/5 gives:
-(4/5)x / (-4/5) < -5/ (-4/5)
x > 6.25
Put x > 6.2 in inequality 1
y < 6.25 - 7
y < -0.75
The solution of the inequality is x > 6.25 and y < -0.75
From the list of option, the correct answer is (10, -2) since 10 > 6.25 and -2 < -0.75
Duane is making a casserole for dinner. He has been cooking the casserole for 48 minutes. The casserole
needs to cook for 47 more minutes.
How many minutes does the casserole cook in total?
Answers
Answer:
95 minutes
Step-by-step explanation:
Add together how long it has been cooking plus how long it needs to cook
48+47 = 95
95 minutes
Answer:
155
Step-by-step explanation:
Add 60 and 48 to get 108 then add 108 and 47 to get 155
-5/6 + 1 2/9
Can some one help me out?
Answers
Answer:
[tex]2 \frac{4}{9} [/tex]
[tex] = \frac{ - 5}{6} + 1 \frac{2}{9} [/tex]
[tex] = \frac{ - 5}{6} + \frac{11}{9} [/tex]
[tex] = \frac{ - 5 \times 2 + 11 \times 1}{9} [/tex]
[tex] = \frac{ - 10 + 9}{9} [/tex]
[tex] = \frac{-1}{9} [/tex]
a symbol used to name one or more parts of a whole or asset or a location on the number line is a
Answers
Answer:
Fraction is the answerEvaluate each expression. Name the property used in each step.
Answers
Answer:
7). 1
8). 3
9). 1
Step-by-step explanation:
7). [tex][3\div (2\times 1)]\frac{2}{3}[/tex]
[tex]=[3\div 2]\frac{2}{3}[/tex]
[tex]=\frac{3}{2}\times \frac{2}{3}[/tex]
[tex]=1[/tex]
8). [tex]2(3\times 2-5)+3\times \frac{1}{3}[/tex]
[tex]=2(6-5)+\frac{3}{3}[/tex]
[tex]=2(6-5)+1[/tex]
[tex]=2+1[/tex]
= 3
9). [tex]6\times \frac{1}{6}+5(12\div 4-3)[/tex]
[tex]=6\times \frac{1}{6}+5(\frac{12}{4}-3 )[/tex]
[tex]=1+5(3-3)[/tex]
= 1
figure a is a scale image of figure b. what is the value of x? please answer asap!
Answers
Greetings from Brasil...
According to the statement, one figure is scaled in relation to another, so we can apply similarity to polygons.....
So
BIG/small = BIG/small
or
small/BIG = small/BIG
12.5/10 = X/16
OR
10/12.5 = 16/X
12.5/10 = X/16
10X = 12.5 · 16
X = 200/10
X = 20find the missing part of the proportion 12/x = 3/7 x= _
Answers
Answer:
x = 28
Step-by-step explanation:
12/x = 3/7
Using cross products
3x = 12*7
3x = 84
Divide by 3
x = 28
