ABC Is A Right Triangle At B Such ThatAB = 8 Cm And AC = 10 Cm.1 Calculate BC2 Consider A Point M Of (2024)

Mathematics High School

ABC Is A Right Triangle At B Such ThatAB = 8 Cm And AC = 10 Cm.1 Calculate BC2 Consider A Point M Of (1)

Answers

Answer 1

Answer:

Question 1

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, or a right triangle)

Given:

a = BCb = AB = 8cmc = AC = 10 cm

⇒ BC² + 8² = 10²

⇒ BC² = 36

BC = 6 cm

Question 2

Given:

AB = 8 cmAM = x

⇒ MB = AB - AM = 8 - x

As ΔABC ~ ΔMBN

⇒ AB : AC = MB : MN

⇒ 8 : 10 = (8 - x) : MN

[tex]\sf \implies \dfrac{8}{10}=\dfrac{(8-x)}{MN}[/tex]

[tex]\sf \implies \dfrac45=\dfrac{(8-x)}{MN}[/tex]

[tex]\sf \implies MN=\dfrac54(8-x)[/tex]

Question 3

D = (6, 8)

As ΔBAD ~ ΔMAP

⇒ AB : AD : BD = AM : AP : MP

⇒ 8 : 6 : 10 = x : AP : MP

[tex]\sf \implies \dfrac{8}{6}=\dfrac{x}{AP}[/tex]

[tex]\sf \implies AP=\dfrac34x[/tex]

[tex]\sf \implies \dfrac{8}{10}=\dfrac{x}{MP}[/tex]

[tex]\sf \implies MP=\dfrac54x[/tex]

Question 4

Perimeter of MNCDP = MN + NC + CD + PD + MP

As ΔABC ~ ΔMBN

⇒ AB : BC : AC = MB : BN : MN

⇒ 8 : 6 = (8 - x) : BN

[tex]\sf \implies \dfrac86=\dfrac{(8-x)}{BN}[/tex]

[tex]\sf \implies BN=\dfrac34(8-x)[/tex]

NC = BC - BN

[tex]\sf \implies NC=6-\dfrac34(8-x)[/tex]

PD = 6 - AP

[tex]\sf \implies PD=6-\dfrac34x[/tex]

Perimeter of MNCDP = MN + NC + CD + PD + MP

[tex]\sf \implies perimeter=\dfrac54(8-x)+6-\dfrac34(8-x)+8+6-\dfrac34x+\dfrac54x[/tex]

[tex]\sf \implies perimeter=10-\dfrac54x+6-6+\dfrac34x+8+6-\dfrac34x+\dfrac54x[/tex]

[tex]\sf \implies perimeter=10+8+6=24[/tex]

ABC Is A Right Triangle At B Such ThatAB = 8 Cm And AC = 10 Cm.1 Calculate BC2 Consider A Point M Of (2)

ABC Is A Right Triangle At B Such ThatAB = 8 Cm And AC = 10 Cm.1 Calculate BC2 Consider A Point M Of (3)

ABC Is A Right Triangle At B Such ThatAB = 8 Cm And AC = 10 Cm.1 Calculate BC2 Consider A Point M Of (4)

Related Questions

find the 24th term of the arithmetic sequence whose common difference is d=5 and whose first term is a1=2

Answers

Answer:

94

Step-by-step explanation:

a1+ 23d =2+23*4= 94

94 is the 24 th term

PLEASE HELP W PRECALC QUESTION

Answers

Answer: [tex]2tan(theta)[/tex]

Step-by-step explanation:

I know this is pre-calculus, but I want to let you know what this is actually used for in real calculus. This is a method of integration called "u-substitution" which tranforms the function of 'x' into a function of 'theta'. If we allow the value of 'x' to equal 2sec(theta), we can plug this into the function to get:

[tex]\sqrt{x^2-4} =\sqrt{(2sec(theta)^2-4} =\sqrt{4sec^2(theta)-4}[/tex]

Factor out a 4 to get:

[tex]\sqrt{4(sec^2(theta)-1)}[/tex]

Take the square root of 4 to get a 2 on the outside of the radical:

[tex]\sqrt{4(sec^2(theta)-1)}=2\sqrt{sec^2(theta)-1}[/tex]

Use the trig identity below to convert the secant to tangent:

[tex]tan^2(theta)+1=sec^2(theta)[/tex]

[tex]tan^2(theta)=sec^2(theta)-1[/tex]

Therefore our expression becomes:

[tex]2\sqrt{sec^2(theta)-1}=2\sqrt{tan^2(theta)}[/tex]

The square root of tangent is simply tangent:

[tex]2\sqrt{tan^2(theta)} =2tan(theta)[/tex]

Mandy has a total of $2.00 in change in her purse. Complete each set of coins below to show amounts equivalent to $2.00.

4 quarters, 5dimes,
______nickels
10 pennies, ____
dimes, 3 quarters, 5 nickels
2 quarters, 12 dimes, 3 nickels,______
pennies
______quarters, 4 dimes, 6 nickels, 5 pennies

Answers

Answer:

10 nickels

9 dimes

5 quarters

Step-by-step explanation:

Answer:

10 nickels, 9 dimes, 15 pennies, 5 quarters

Step-by-step explanation:

I'm a little confused by the question, but, I'll assume that each one is separated by a space.

4 quarters + 5 dims = 1.50. So, there would be 10 nickels.

10 pennies + 3 quarters + 5 nickels = 10+75+25=110. So, 9 dimes

2 quarters + 12 dimes + 3 nickels= 50 + 120 + 15 = 15. So, 15 pennies

4 dimes + 6 nickels + 5 pennies = 40+30+5=75. So, 5 quarters

1/2 of 4/5 as a fraction

Answers

Answer:

4/10 is the answer

( 1 * 4 ) / ( 4 * 5 ) = 4 / 10

4 / 10 = 2 / 5

plsss need help nowwww

Answers

Answer:

49/12

Step-by-step explanation:

1 ⅓ can be written as 1 + 1/3

1 ⅓

= 1 + 1/3

LCM = 3

= 3/3 + 1/3

= ( 3 + 1 )/3

= 4/3

2 ¾

= 2 + 3/4

LCM = 4

= 8/4 + 3/4

= ( 8 + 3 )/4

= 11/4

1 ⅓ + 2 ¾

= 4/3 + 11/4

LCM = 3 x 4 = 12

4/3 x 4/4

= ( 4 x 4 )/( 3 x 4 )

= 16/12

11/4

= 11/4 x 3/3

= ( 11 x 3 )/( 4 x 3 )

= 33/12

16/12 + 33/12

= ( 16 + 33 )/12

= 49/12

Answer:

I don’t know if it correct, but when I solved it I got 4 1/12

Step-by-step explanation:

(1+2) (1/3 + 3/4)

3 + 13/12

3 + 1 1/12

3 + 1 + 1/12

4 + 1 /12

4 1/12

Mason has a map of Alabama that measures 3/4 meter wide and 7/8 meter long . What is the area in square meters of mason map

Answers

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Length(l) of map = [tex]\sf\red{\frac{7}{8}m.}[/tex]

[tex]\rightarrow[/tex] Width(w) of map = [tex]\sf\red{\frac{3}{4}m.}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\rightarrow[/tex] Area of map.

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] From the above given dimensions we can conclude that map is in the shape of rectangle. So, we can find the area of map by using the formula: [tex]\sf\blue{Length×Width}[/tex]

So, let's begin

[tex]\rightarrow[/tex] Area of rectangular map = [tex]\sf{Length×Width}[/tex](putting the value of length and width from the above given)

[tex]\rightarrow[/tex][tex]\sf{=\:\frac{7}{8}×\frac{3}{4}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\:\frac{21}{32}m^2}[/tex] Or,

[tex]\rightarrow[/tex][tex]\sf{=\: 0.65m^2}[/tex]

Therefore the area of the Mason map [tex]\sf\purple{=\: 0.65m^2}[/tex]or [tex]\sf\purple{\frac{21}{32}m^2}[/tex]

________________________________

Hope it helps you:)

Witch expression makes the equation true for all values of x? 15x - 15 = 5(?)
A. 3x - 3
B. 3x- 15
C.5x-5
D.12x-1

Answers

The expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

What is a True Algebraic Equation?

An algebraic equation is an equation where for a value of x, the right side and the left side of the equation must be balanced.

Given the algebraic equation, 15x - 15 = 5(?)

The missing expression, is 3x - 3, because:

15x - 15 = 5(3x - 3)

Open the bracket

15x - 15 = 15x - 15

Both sides are equal.

Therefore, the expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

Learn more about algebraic equation on:

https://brainly.com/question/2164351

1. What number is 35% of 80?

Answers

Answer: 28

Step-by-step explanation: 80 x 0.35 = 28

when we multilpy we get 80×0.35 = 28

Please help!!!!!! :)

Answers

Answer:

Option D

Step-by-step explanation:

Given equation:

-4x + 2 = -14

This equation can be solved by:

Isolating the variable(s) and its coefficient(s) on one side of the equation. Dividing both sides of the equation by the coefficient of "x" to isolate x.

Subtracting 2 both sides of the equation (according to step 1):

⇒ -4x + 2 = -14⇒ -4x + 2 - 2 = -14 - 2⇒ -4x = -16

Dividing -4 to both sides of the equation (according to step 2):

⇒ -4x = -16⇒ -4x/-4 = -16/-4⇒ x = 4

Therefore, Option D is correct.

Learn more about this topic: https://brainly.com/question/27460957

Answer:

d) 4

Step-by-step explanation:

Solving for the value of x,

→ -4x + 2 = -14

→ -4x = -14 - 2

→ -4x = -16

→ x = -16/-4

→ [ x = 4 ] {option d}

Verification of the value of x,

→ -4x + 2 = -14

→ -4(4) + 2 = -14

→ -16 + 2 = -14

→ -14 = -14

→ [ LHS = RHS ]

Hence, the value of x is 4.

Triangle XYZ is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. Which statement describes the properties of triangles XYZ and X''Y''Z'' after the transformations?

A. Y and ∠Y'' are congruent after the translation, but not after the dilation.

B. ∠Y and ∠Y'' are congruent after the dilation, but not after the translation.

C. segment YZ and segment Y double prime Z double prime are proportional after the translation, but not after the dilation.

D. segment YZ and segment Y double prime Z double prime are proportional after the dilation and congruent after the translation.

Answers

The statement that described the triangle properties is that the segment YZ and segment Y"Z" should be proportional when the dilation is done and it should be congruent when the translation should be done.

Given that,

There is the rule i.e. (x +1, y - 1) and it should be dilated by a scale factor of 4 centered at the origin.

Based on the above information,

The figure should be proportional as the angle and the points should be the same. And, when the translation is done the image should be congruent to the pre-image

Therefore we can conclude that option d is correct.

Learn more: https://brainly.com/question/25063346

Write the phrase as an expression.
18 added to a number n

Answers

Answer:

n + 18

Step-by-step explanation:

n + 18

18 added to n: n + 18

Ex: 7 added to 3 = 3 + 7 = 10

Hope this helps!

PLEASE HELP ME. I NEED IT TO BE SOLVED.

Answers

the correct answer is 21

Answer:

21 (this is given in the simplest form)

How do solve a system of equations

Answers

Answer:

you have 3 way which one you want comparison supstitution or the third one

ways of solving a system equationgraphingsubstitutionelimination

Someone help me please

Answers

Step 1. Isolate the variable x:

[tex]3x-11 > 7x+9[/tex]

[tex]-4x > 20[/tex]

[tex]x > -5[/tex]

Step 2. Use the simplified inequality to graph:

Select an OPEN point on x = -5Select a ray extending from -5 to positive infinity (GREATER than -5)

I hope this helps!

After heating up in a teapot, a cup of hot water is poured at a temperature of
20
8

208

F. The cup sits to cool in a room at a temperature of
6
8

68

F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
T
=
T
a
+
(
T
0

T
a
)
e

k
t
T=T
a

+(T
0

−T
a

)e
−kt

T
a
=
T
a

= the temperature surrounding the object
T
0
=
T
0

= the initial temperature of the object
t
=
t= the time in minutes
T
=
T= the temperature of the object after
t
t minutes
k
=
k= decay constant

The cup of water reaches the temperature of
18
5

185

F after 3 minutes. Using this information, find the value of
k
k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Enter only the final temperature into the input box.

Answers

Answer:

k ≈ 0.060T(4) ≈ 178 °F

Step-by-step explanation:

The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.

__

Given:

[tex]T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)[/tex]

Find:

k

T(4)

Solution:

Filling in the given numbers, we have ...

185 = 68 +(208 -68)e^(-k·3)

117/140 = e^(-3k) . . . . . subtract 68, divide by 140

ln(117/140) = -3k . . . . . . take natural logarithms

k = ln(117/140)/-3 ≈ 0.060

__

The temperature after 4 minutes is about ...

T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186

T(4) ≈ 178.205

After 4 minutes, the final temperature is about 178 °F.

Work out the gradient of the straight line through (-2, 1) and (1, 10)

Answers

The answer to your question is:
3

Steps:

Answer:

3

Step-by-step explanation:

Question below .....

Answers

Option c
Let the unknown angle be x.
Sum of all angles of triangle = 180
x + 55 + 55 = 180
x + 110 = 180
x = 180 - 110
x = 70

Brittany has a black skirt, a violet skirt, a white skirt, and a red skirt. She has a yellow top, a pink top, and a green top. She wants to wear a skirt and a top. What are all the possible outcomes? How many possible outcomes are in the sample space?

7 possible outcomes: BB, VV, WW, RR, YY, PP, GG
12 possible outcomes: BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
7 possible outcomes: B, V, W, R, Y, P, G
12 possible outcomes: BY, BP, BG, BV, BW, BR, VY, VP, VG, VB, VW, VR

Answers

Answer:

B

Step-by-step explanation:

12:

BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG

What is the measure of \angle D∠Dangle, D?

Answers

Answer:

135⁰

Step-by-step explanation:

As in cyclic quadrilateral sum if opposite angles is equal to 180⁰

is f=9/5c+32 a linear function

Answers

Answer:

"a linear function has the form y = mx + b. "

of the ten menu items at deli, 7 are sandwiches With meat, 2 are sandwiches without meat, and 1 is a desert.Write the fraction of menu options that are sandwiches as a fraction with a denominator of 100. Then write the fraction as a decimal.

Answers

The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.

How to write the fraction?

Out of the 10 options on the menu, 7 are sandwiches.

Then the fraction of options in the menu that are sandwiches is:

7/10

But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:

7*10/10*10 = 70/100

This is the fraction we wanted.

Now, we want it as a decimal, this will be:

70/100 = 0.7

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

3 X-5y= -3
3x-5y=11

please show work

Answers

Are we solving for x?

You want to paint the four walls in your
bedroom. Each wall is 9
feet tall by 12 feet
wide. What is the total
area

Answers

108 sq ft is the area

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

24 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

7^2 + b^2 = 25^2

49 + b^2 = 625

Now we subtract!!

625 - 49 = b^2

576 = b^2

Now we neeed to find the square root!!

[tex]\sqrt{576}[/tex] = 24

Have an amazing day!!

Please rate and mark brainliest!!

Can someone please help me. ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!​

Answers

Letter A

because we should add the two smaller number in the radical and if the sum equals to the other one. Then, it is a right triangle

PLEASE ANSWER! (4 - QUESTIONS) 50 POINTS + WILL RECEIVE BRAINLIEST!

1. The volume of a cylinder is 461.58 cubic inches. If the cylinder has a height of 3 units, what is the radius of the cylinder? Use 3.14 for pi.

2. Find the volume of the cone that has a height of 12 and diameter of 12. Use 3.14 for pi. Round your answer to the nearest tenths place.

3. Find the volume of the hemisphere that has a radius of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundredth.

4. The volume of a sphere is 407.51 cubic units. What is the diameter of the sphere?

Answers

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

a) Volume of cylinder = π * radius² * height

461.58 = 3.14 * radius² * 3

radius = 7 in

b) Volume of cone = (1/3) * π * radius² * height

Volume = (1/3) * 3.14 * (12/2)² * 12

Volume = 452.2 unit³

c) Volume of sphere = (4/3) π * radius³

Volume of sphere = (4/3) * 3.14 * 7³

Volume = 1436 in³

d) Volume of sphere = (4/3) π * radius³

407.51 = (4/3) * 3.14 * radius³

Radius = 7.3

Diameter = 14.6 units

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

I need a lot of help!
Is 54.03 + 4.04 greater than 54 + 4.4?

Answers

Answer:

54+4.4 is greater

Step-by-step explanation:

if u need explanation than please ask

Ms. Pearson kept track of student absences versus final average grades in her math dass for one semester, The
data is shown in the table below

Answers

The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.

When do variables have a linear relationship?

The equation that represents a linear relationship is: a + bx

Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.

Looking at the table, the average final grade does not increase by a constant term.

To learn more about linear functions, please check: https://brainly.com/question/26434260

Need Help!
Ginger has an unpaid balance of $2,018.91 on her credit card. Her credit card has an interest rate of 1.2% per month. If she makes a payment of $500, how much will she owe at the end of the month?

$1,518.91

$1,537.14

$1,500.68

$1,543.14

Answers

Answer:

$1,537.14

I had this question once and this was the answrr

Which of the following points is a solution to the system of inequalities?
6x-2y<10
6x+3y>/=15(greater than or equal to)
A. (1,2)
B. (3,3)
C. (0,5)
D. (2,1)

Answers

Answer: C (0,5)

Step-by-step explanation:

So firstly you're going to try to solve the inequality, so what I did first is used the second equation because if I divide both sides by 3, I'm able to get the y by itself:

6x+3y>/=15, 6/3=2, 3/3=1, 15/3= 5

So now its: 2x+y>/=5

now I should get the y by itself by subtracting 2x from both sides to get

y>/=15-2x, now if we wanted to plug it in to the top equation, we could make it as, y=15-2x because the it is GREATER THAN OR EQUAL TO.

so to plug it in to the first equation we get:

6x-2(15-2x)<10,

x<4, to find y we just plug it in to any equation now we have x, so I did

6(3)-2y<10

18-2y<10

-18 -18

-2y<10

divide both sides by -2 (flips the equation sign)

y>4,

So take consider both X and Y values, C would be correct because X is less than four and 0 is less than four, and 5 is greater than four.

ABC Is A Right Triangle At B Such ThatAB = 8 Cm And AC = 10 Cm.1 Calculate BC2 Consider A Point M Of (2024)
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