Answers
Answer:
AB = 8 inches
Step-by-step explanation:
given :
AD = 10 inches
BD = 6 inches
AB = ?
using pythagoras theorem
a^2 + b^2 = c^2
BD^2 + AB^2 = AD^2
6^2 + AB^2 = 10^2
36 + AB^2 = 100
AB^2 = 100 - 36
AB^2 = 64
AB = [tex]\sqrt{64[/tex]
AB = 8
The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC is equal to 8 inches.
In the figure of triangle ADC ,
DB is perpendicular to AC such that A- B- C.
Measure of angle CBD = 90 degrees
This implies,
As angle ABD and CBD are linear pair
⇒ Measure of angle CBD + Measure of ABD = 180°
⇒ 90° + Measure of ABD = 180°
⇒ Measure of ABD = 180° - 90°
⇒ Measure of ABD = 90°
Now triangle ABD is right angle triangle,
AD = 10 inches
BD = 6 inches
By applying Pythagoras theorem we have,
AB² + BD² = AD²
⇒ AB² = AD² - BD²
⇒ AB² = 10² - 6²
⇒ AB² = 100 -36
⇒ AB² = 64
⇒ AB = √64
⇒ AB = 8 inches
Therefore, the length of the AB is equal to 8 inches.
Learn more about length here
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Related Questions
rewrite the following linear equation in general form
Answers
Given:
The linear equation is:
[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]
To find:
The general form of the given linear equation.
Solution:
The general form of a line is equation is:
[tex]Ax+By=C[/tex]
We have,
[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]
Multiply both sides by 2.
[tex]2(y+6)=-5(x+4)[/tex]
[tex]2(y)+2(6)=-5(x)-5(4)[/tex]
[tex]2y+12=-5x-20[/tex]
Isolating variable terms, we get
[tex]2y+5x=-20-12[/tex]
[tex]5x+2y=-32[/tex]
Therefore, the general form of the given linear equation is [tex]5x+2y=-32[/tex].
Select the two values of x that are roots of this equation. x2 + 3x - 3 = 0
A. X- 2
B. X = -3 +721 2
C. x. -3-1
D. x. -3-17
Answers
Answer:
B and D
Step-by-step explanation:
Find the distance between the pair of points given on the graph.
Answers
Answer:
√74
Step-by-step explanation:
49 + 25
if brainly deletes this answer, i swear this community is going down in the dumps
Answer:
[tex]\sqrt{74}[/tex] = 8.6
Step-by-step explanation:
use distance formula
points are (4,2) and (-3,-3)
d= [tex]\sqrt{(x_{2}-x_{1) ^{2} + (y_{2} -y_{1} )^{2} }[/tex]
substitute points into formula
Translate to the correct equation: The sum of 24 and three times a number is 57 *
Translate into an inequality: Six less than double a number is less than 18.
Answers
Answer:
EQUATION: 24 + 3X = 27. INEQUALITY: 2X - 6 < 18.
Step-by-step explanation:
For the equation:
"A number" means that we do not know what the number is yet. So it is a variable. I chose the variable, "X."
"The SUM of 24 AND" means we are adding 24 to something. So what we have so far is "24 + ..."
"3 times a number" means we are multiplying 3 by the unknown variable X. So 3X. What we have so far is "24 + 3X..."
"is 57" means that everything we've just stated equals 57.
Our entire equation is: 24 + 3x = 27.
For the inequality:
Inequalities mean that two expressions are NOT equal to each other.
"6 less than" means that we subtract 6. So we have,"6 - ..." so far.
"Double a number" means 2 times a number, which we are saying is X. So "2X."
" is less than 18" means that everything we just said is less than the value of 18.
So the whole inequality is: 2X - 6 < 18.
FIRST ANSWER GETS BRAINLIEST !!!!
16.
What is the solution of the equation 56 = 2.8y ?
a. y = 156.8
b. y = 58.8
c. y = 2
d. y = 20
Answers
Answer:
When you solve for y, you get y = 20.
Step-by-step explanation:
You isolate the variable by dividing each side of the equation by the number with the variable, therefore getting 20.
[tex]\longrightarrow{\green{d.\:y\:=\:20}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➝[tex]\:56 = 2.8y[/tex]
➝[tex]\:y = \frac{56}{2.8} [/tex]
➝[tex]\:y = 20[/tex]
Therefore, the value of [tex]y[/tex] is 20.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
➝[tex]\:56 = 2.8y[/tex]
➝[tex]\:56 = 2.8 \times 20[/tex]
➝[tex]\:56 = 56[/tex]
➝[tex]\:L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Doughnuts are sold in bags and cartons
A bag holds four doughnuts and a carton holds ten doughnuts
Tom buys B bags of doughnuts and C cartons of doughnuts
He buys a total T doughnuts
Writs down a formula for T in terms of B and C
Answers
Answer:
Doughnuts are sold in bags and cartons
A bag holds four doughnuts and a carton holds ten doughnuts
Tom buys B bags of doughnuts and C cartons of doughnuts
He buys a total T doughnuts
Writs down a formula for T in terms of B and C
Step-by-step explanation:
Doughnuts are sold in bags and cartons
A bag holds four doughnuts and a carton holds ten doughnuts
Tom buys B bags of doughnuts and C cartons of doughnuts
He buys a total T doughnuts
Writs down a formula for T in terms of B and C
At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960.
Which equation can be used to represent x, the number of single ride passes sold and y, the number of all day ride
passes sold?
O 2x + 15y = 2,960
O 12x + 5y = 2,960
O 15x + 2y = 2,960
O 17x + 15y = 2,960
Answers
Answer:
2x+15y=2960
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the
equation of the graphed line written in
standard form?
O X=-3
O y=-3
O x+y=-3
x-y=-3
Answers
Answer:
x = -3
Step-by-step explanation:
This is a vertical line. The x value remains constant.
x = -3
Answer:
x= 5.45 or -5.45
Step-by-step explanation:
due in 20 mins help pls
Answers
Step-by-step explanation:
[tex] {13}^{2} = {6.5}^{2} + {x}^{2} \\ {x}^{2} = 126.75 \\ x = 11.2[/tex]
Answer:
11.3 cm
Step-by-step explanation:
since this is an equilateral triangle it's every sides are equal
side length (a) = 13 cm
formula to calculate the height of equilateral triangle is
h = [tex]a *\frac{\sqrt{3} }{2}[/tex]
=[tex]13 * \frac{\sqrt{3} }{2}[/tex]
=[tex]\frac{13\sqrt{3} }{2}[/tex]
=11.25
=11.3
A bungee jumper leaps off a cliff 122 meters from the ground. Her cord, when fully stretched, is 72 meters long, and it takes 6 seconds after the jump for it to extend fully. The distance between e jumper and the ground as a function of time can be modeled as a quadratic function. Which equation represents her distance from the ground as a function of time?
Answers
Answer:
Answer is B.
Step-by-step explanation:
You can solve this by recognizing the vertex and the y-intercept of the quadratic equation based on the information provided.
The vertex occurs 6 seconds into the jump, when the cord is fully stretched to 72m, before it starts to contract again. This is when the jumper is closest to the ground, 122-72 = 50m above the ground. Notice the jumper never reaches the ground because the cord is only 72m long - it can't make it the full 122m - so there will not be an x-intercept (or t-intercept in this case). Anyway - the vertex is (6,50) using this information.
The y-intercept is the point at which t=0, the beginning of the jump. At the beginning of the jump, the jump is still on top of the cliff, 122m up. So the coordinates of the y-intercept are (0,122).
Now plug these values into the vertex form of the quadratic formula and solve for a:
[tex]f(t) = a(t-h)^2+k\\122=a(0-6)^2+50\\72 = 36a\\a=2[/tex]
This means our general equation (in vertex form) for this scenario is:
[tex]f(t)=2(t-6)^2+50[/tex]
Our answer options are in standard form, so just expand the vertex form of the equation to finish:
[tex]f(t)=2(t-6)^2+50\\f(t)=2(t^2-12t+36)+50\\f(t)=2t^2-24t+72+50\\f(t)=2t^2-24t+122[/tex]
plzzzzzzzzz helpppppp.......
Answers
Answer:
I will help ok ok heres ur answer
m∠DEF = __because they are_________
Answers
Answer:
m∠GDE
alternate interior angles
Find the equation for the line that passes through the point (−3,−3), and that is perpendicular to the line with the equation x=4.
Answers
Answer:
y = - 3
Step-by-step explanation:
x = 4 is a vertical line parallel to the y- axis
A line perpendicular to it will be a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates of the points the line passes through.
The line passes through (- 3, - 3) with y- coordinate - 3 , then
y = - 3 ← equation of perpendicular line
how to solve mix surds 8√2+2√8
Answers
Answer:
[tex] { \tt{8 \sqrt{2} + 2 \sqrt{8} }}[/tex]
separate the biggest root ( √8 ):
[tex]{ \tt{ = 8 \sqrt{2} + 2 \sqrt{4 \times 2} }} \\ = { \tt{ 8 \sqrt{2} + (2 \times 2) \sqrt{2} }} \\ = { \tt{8 \sqrt{2} + 4 \sqrt{2} }}[/tex]
factorise √2 out:
[tex] = { \tt{(8 + 4) \sqrt{2} }} \\ \\ = { \bf{12 \sqrt{2} }}[/tex]
Select the choice that follows the correct sequence of steps in solving this inequality.
-1/2y - 1 < or equal to 3
Answers
Answer:
what are the choices?? if you don't mind me asking
help please asap just the answers
a = 2 ; b = −1 and c = −3
Answers
Answer:
-5/ 3
Step-by-step explanation:
solving 2a - b
= (2 × 2) - (-1)
= 4 + 1
= 5
solving (2a - b)/ c
= 5/ (-3)
= -5/ 3
that is the third option
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]
6.) Detemine the value of [tex] \sf{(2a - b) \div c.}[/tex]
[tex] \huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]
[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]
[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶(2a- b)÷c}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶(2(2)-(-1))÷(-3)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶(4-(-1))÷(-3)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶4+1÷(-3)}[/tex]
[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ - \frac{5}{3} }}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad\quad\underline{ \boxed{ \sf{ \red{ - \frac{5}{3} }}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
Can someone tell me… Given the right triangle ABC, what is the value of tan(A)?
A. 5/13
B. 12/13
C. 12/5
D. 13/12
Answers
Answer:
C
Step-by-step explanation:
tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{24}{10}[/tex] = [tex]\frac{12}{5}[/tex] → C
Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?
Answers
Answer:
x = 9
Step-by-step explanation:
24x - 18 - 8x - 30 = 96
add or subtract like terms
16x - 48 = 96
shift - 48 to right hand side . when it goes to other side minus changes to plus
16x = 96 + 48
16x = 144
x = 144/16
x = 9
to prove that the value of x satisfy the given equation or not.
to prove that the value of x is 9 substitute 9 inplace of x and if it gives 96 then it satisfy
24x - 18 - 8x - 30 = 96
24*9 - 18 - 8*9 - 30 = 96
216 - 18 - 72 - 30 = 96
216 - 120 = 96
96 = 96
since both sides is equal to 96 it can be concluded that the value of x is 9.
Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?
AnswerX = 9Step by Step Explanation24x - 18 - 8x - 30 = 96
First let's just add/subract the following terms.
16x - 48 = 96
Second.. shift the 48 to the right side. after that change the minus sign into plus sign.
16x = 48 + 96
16x = 44
x = 144/16
x = 9
Explanation:
So we just prove that the value of x satisfy the equation true or not.To prove that the value of x is 9.. we just substitute the 9 in place of x and if it was 96 the result of the equation the problem must be true.So we begin to solve it!
24x - 18 - 8x - 30 = 96
24*9 - 18 - 8*9 - 30 = 96
216 - 18 - 72 - 30 = 96
216 - 120 = 96
Since that all both sides are equal to 96 it can be concluded that the value of x is 9.
#LearnwithBrainly
Please answer i will give brainliest
Answers
Answer:
sorry bro......sis
Step-by-step explanation:
don,t know its answer
Degree= radian x 57.3 = 5π/9 x 57.3 = 100.007 degree
I hope that helps and wish you the best !!
y = 4x – 18
y = -5x +9
Answers
Answer:
(3, -6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 4x - 18
y = -5x + 9
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: 4x - 18 = -5x + 9[Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9[Addition Property of Equality] Add 18 on both sides: 9x = 27[Division Property of Equality] Divide 9 on both sides: x = 3Step 3: Solve for y
Substitute in x [1st Equation]: y = 4(3) - 18Multiply: y = 12 - 18Subtract: y = -6Answer:
x=3
y = -6
Step-by-step explanation:
y = 4x – 18
y = -5x +9
Set the two equations equal
4x – 18 = -5x +9
Add 5x to each side
4x – 18 +5x= -5x+5x +9
9x -18 = 9
Add 18 to each side
9x -18 +18 = 9+18
9x =27
Divide by 8
9x/9 = 27/9
x = 3
Now find y
y = 4x-18
y = 4*3 -18
y =12-18
y = -6
Which of the following sets of numbers could not represent the three sides of a right triangle?
Answers
Answer:
25, 32, 40 can not form a right angle triangle.
Step-by-step explanation:
By Pythagoras theorem,
⇒ (40)² = (25)² + (32)²
⇒ 1600 = 625 + 1024
⇒ 1600 ≠ 1689
Find the total travel time: Depart 2:30 pm PST Arrive 7:20 pm CST.
A. 3 hr 40 min
B. 3 hr 50 min
C. 1 hr 50 min
D. 2 hr 50 min
Answers
Given:
Depart 2:30 pm PST
Arrive 7:20 pm CST
To find:
The total travel time
Solution:
We know that time in CST is 2 hours more than the time in PST
Depart time = 2:30 pm PST
Convert this time in CST.
Depart time = (2:30+2:00) pm CST
= 4:30 pm CST
We have,
Arrive time = 7:20 pm CST
The total travel time is the difference between 7:20 pm CST and 4:30 pm CST.
7:20 pm - 4:30 pm = 2 hr 50 min
The total travel time is 2 hr 50 min.
Therefore, the correct option is D.
12 points!! Please help out if you can! Means so much!!
Answers
Answer:
(2w+2)(w+8) ≤ 100
Step-by-step explanation:
y – 4 = –Two-thirds(x – 6) and passes through the point (−2, −2)?
Answers
The base of a power is...
Answers
Answer:
The base of a power is the factor that is repeatedly multiplied by itself.
llus
Find the value of x that makes A || B.
2
4
3
5
Z2 = 2x + 10 and 24 = 4x + 80
x = [?]
Enter
Answers
Answer:
Step-by-step explanation:
If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,
2x + 10 + 4x + 80 = 180 and
6x = 90 so
x = 15
Meagan needs to paint the outside of a box
for an art project. The box is 18 cm by
5 cm by 2 cm. What surface area does she
need to paint?
Answers
Surface area of cubic= 2( lb+bh+hl)
Length= 18 cm
Width= 5 cm
Height= 2cm
[tex]s.a = 2(18 \times 5 + 5 \times 2 + 2 \times 18) \\ = 272 \: cm {}^{2} [/tex]
Question 5 of 10
In the diagram below, 30 is parallel to XY. What is the value of x?
769
Answers
Answer:
D
Step-by-step explanation:
a and 76° are corresponding angles and are congruent , then
x = 76° → D
Put these numbers in order from least to greatest.
3/4,0.6, and 0.7
Answers
Answer:
O.6, 0.7, 3/4 (0.75)
find atleast 3 solutions for the following linear equation in two variables:2x + 3y = 4
Answers
First solution :
Say, x = 0
→ 2x + 3y = 4
→ 2(0) + 3y = 4
→ 0 + 3y = 4
→ 3y = 4
→ y = 4/3
x = 0, y = 4/3Second solution :
Say, x = 1
→ 2x + 3y = 4
→ 2(1) + 3y = 4
→ 2 + 3y = 4
→ 3y = 4 - 2
→ 3y = 2
→ y = 2/3
x = 1, y = 2/3Third solution :
Say, x = 2
→ 2x + 3y = 4
→ 2(2) + 3y = 4
→ 4 + 3y = 4
→ 3y = 4 - 4
→ 3y = 0
→ y = 0 ÷ 3
→ y = 0
x = 2, y = 0