Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{c^2 + c^2 }[/tex] = 9√2
c√2 = 9√2 ⇒ c = 9
b = 2c ⇒ b = 18
d = [tex]\sqrt{18^2 - 9^2 }[/tex] = [tex]\sqrt{(18 - 9)(18+9)}[/tex] = √243 = 9√3
a = c = 9
b = 18
d = 9√3
Related Questions
8/8, 34/34, 100/100 all equal
Answers
Answer:sndkzkz
Step-by-step explanation:
Emma
Answer:
yes
they all equal one
Step-by-step explanation:
A. Explain how you know that Triangle ABC is similar to Triangle A'B'C'. (use complete sentences and show all your work to get full credit)
B. If AC = 8, A'C' = 12, and AB = 20 what is the length of A'B'?
Answers
Answer:
A. Since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.
B. A'B' = 30
Step-by-step explanation:
A. Two triangles are said to be similar if their corresponding angles are congruent to each other.
To know whether ∆ABC and ∆A'B'C' are similar, let's find the measure of their angles each, and see if their corresponding angles are congruent to each other.
∆ABC:
m<A = 59°
m<B = 37°
m<C = 180 - (37 + 59) = 84°
∆A'B'C':
m<A' = 59°
m<B' = 180 - (59 + 84) = 37°
m<C' = 84°
As we can see,
Angle A is congruent to Angle A'
Angle B is congruent to Angle B'
Angle C is congruent to Angle C'
Therefore, since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.
B. AC = 8; A'C' = 12; AB = 20
Since ∆ABC is similar to ∆A'B'C', the ratio of their corresponding sides would be equal.
Therefore:
AC/A'C' = AB/A'B'
Plug in the values into the equation
8/12 = 20/A'B'
Cross multiply
A'B'*8 = 20*12
A'B'*8= 240
Divide both sides by 8
A'B' = 240/8
A'B' = 30
will give brainalist!!
ratio please be correct due soon no fake answers
Answers
6 sponge
315 ml
135g tinned fruit
Answer:
Step-by-step explanation:
Strawberry jelly:
120 ÷ 4 × 3 = 90 g
Sponge fingers:
8 ÷ 4 × 3 = 6
Custard:
420 ÷ 4 × 3 = 315 ml
Tinned fruit:
180 ÷ 4 × 3 = 135 g
A game of chance is played using a six-sided die. If a 1,2 or 3 is rolled the player wins $0 if a 4 or 5 is rolled the player wins $7. If a 6 is rolled the player wins $10. If each play of the game costs 5$ what is the expected pay off?
Answers
Answer:
-2.50
Step-by-step explanation:
Using the formula for the expected value, it is found that the expected pay off is of -$1.
The expected value is given by the sum of each outcome multiplied by it's respective probability.In this problem, the outcomes and probabilities are, considering the cost of the game of $5 and that there are 6 sides:
[tex]\frac{3}{6}[/tex] probability of losing $5.[tex]\frac{2}{6}[/tex] probability of winning $2.[tex]\frac{1}{6}[/tex] probability of winning $5.Hence:
[tex]E(X) = \frac{3}{6}(-5) + \frac{2}{6}(2) + \frac{1}{6}(5) = \frac{3(-5) + 2(2) + 1(5)}{6} = -\frac{6}{6} = -1[/tex]
The expected pay off is of -$1.
To learn more about expected value, you can take a look at https://brainly.com/question/24855677
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Answers
Answer:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Step-by-step explanation:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
G
Mr. Chang's class has 28 students, 7 of whom are girls. Which equation shows how to determine the number of girls in
Mr. Chang's class?
o 28-4-49
0 28 x 7 - 16
017-28 - 11
o 1-28-
Answers
Answer:
Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.
Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.
1. Judy took $15 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $3. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks
I cant figure it out-
Answers
You know that the popcorn cost $5.00 so the drinks would cost $2.50 each. So when you plot the points you would reach $10.00 for popcorn and have $5.00 for drinks. $15.00 for popcorn and $7.50 for drinks.
Step-by-step explanation:
Judy has $30 to spend.
The price per bag of popcorn is $5.
The price per drink is $2.50.
is your equation
I need help pleaseeee
Answers
Decimal is 0.4
Percent is 40%
Any help is needed!! ❤️ only if you know ofc!
Answers
Answer:
b=74degrees
Step-by-step explanation:
First find angle a
180-112-33=35
use angle a to find b
180-35-71=74
2(15+6y)+5y=9 someone help me
Answers
Answer:
y=-21/17
Step-by-step explanation:
Answer:
y= - 21/17
Step-by-step explanation:
Rearrange terms:2(15+6y) +5y =9
2(6y+15)+5y=9
Distribute:2(6y +15) +5y=9
12y+30 + 5y = 9
Combine like terms:12y+30+5y =9
17y+30 =9
Subtract 30 from both sides:17y+30 =9
17y +30 -30 =9-30
Simplify:17y=-21
Answer:y=-21/17
Solve the system by substitution. 4x=8y 2x+5y=27
Answers
Answer:
(6, 3)
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
4x = 8y
2x + 5y = 27
Step 2: Rewrite systems
x = 2y
2x + 5y = 27
Step 3: Solve for y
Substitute: 2(2y) + 5y = 27Multiply: 4y + 5y = 27Combine like terms: 9y = 27Isolate y: y = 3Step 4: Solve for x
Plug in y into an original equation to find x.
Substitute: 4x = 8(3)Multiply: 4x = 24Isolate x: x = 6Answer:
[tex](6,3)[/tex]
Step-by-step explanation:
[tex]4x = 8y\\4x/4 = x\\8y/4= 2y\\x=2y[/tex]
[tex]2(2y)+5y=27\\4y+5y=27\\9y=27\\9y/9=y\\27/9=3\\y=3[/tex]
[tex]x =2y\\x= 2(3)\\x=6[/tex]
A train travels 200 miles in 5 hours. How far does the train travel in 3 hours
Answers
Answer:
120 miles
Step-by-step explanation:
200/5 = 40 miles per hour
3 hours = 40*3 = 120 miles
PLS GIVE BRAINLIEST
Elena knows that 5 servings of granola have 1,750 calories. if she eats 2 servings of granola,how many calories dose she eat
Answers
Answer:
700 calories
Step-by-step explanation:
1,750/5
=350
350colories per serving
So multiply 350 by 2
350x2
=700
Answer:
Elena eats 700 calories
Step-by-step explanation:
First, we need to find out how many calories are in one serving of granola. To do that, we will divide; 1750/5=350. We now know that there are 350 calories in one serving of granola. However, the problem is asking for how many calories are in two servings of granola. 350 x 2 = 700. Therefore, Elena eats 700 calories.
I will send u the pic
Answers
Answer:
a pic of ur math?
Step-by-step explanation:
PROBLEM I WITHOUT A CALCULATOR)
1. A room is warming up such that the temperature rise, in degrees Fahrenheit, is proportional
to the time the room has been heating. After 4 minutes, the room temperature rose 12 °F.
(a) What is the constant of proportionnlit for the
Please help
Answers
Answer:
12 minutes I think question kinda confusing
Two of the angles of a triangle are 65° What is the measure of the third angle? O 65 O 130° O Cat they O 50
Answers
Answer: The answer is 50°
Step-by-step explanation: 65 + 65=130 180-130=50
PLEASEEEEEE HURRY!!! Will give brainly
Write the equation in slope intercept form (y=mx+b) of a line that passes
Through the points (6,5) and (2,4).
Answers
Answer:
y = 1/4x + 5/2
Step-by-step explanation:
slope = rise over run
1 rise for 4 run
y intercept = 5/2
Having trouble with this one help appreciated
Answers
Answer:
The constant of proportionality is 3.50.
Step-by-step explanation:
We know that when y directly varies with x, such that
[tex]y=kx[/tex]
The number 'k' is called the constant of proportionality.
Given the equation
[tex]y=3.50x[/tex]
as
[tex]y=kx[/tex]
so
[tex]k=3.50[/tex] ∵ [tex]y=kx[/tex]
Here the value of k = 3.50, which is the constant of proportionality.
Therefore, the constant of proportionality is 3.50.
In a survey of 2,800 people who owned a certain type of car 1,120 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
40% were satisfied
Step-by-step explanation:
You take 1120 and divide it by 2800 to get 0.4 and 0.4 in percent is 40%
Answer:
40%
Step-by-step explanation:
2,800 surveyed
1,120 promised to buy that car again
Assuming that this promise show they are satisfied with the car
2,800. and 1,120
100% x%
crossmultipy and solve
x=100*1,120/2,800=40
please help. its on ratio
Answers
42:21
6:3
24:12
Hope this helps!
The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?
A.
f(x) = (x − 1)2
B.
f(x) = (x + 1)2
C.
f(x) = -1(x − 1)2
D.
f(x) = -1(x + 1)2
Answers
Answer: A. f(x) = (x - 1)²
Step-by-step explanation:
Sovle -5x + 8 < - 2x + 23
Answers
Answer:
_3x>+31 but I am not sure
Step-by-step explanation:
-5x<-2x+8+23
-3x>+31
Answer:
x > -5
Step-by-step explanation:
1.) Add +5x on both sides
-5x + 8 < - 2x + 23
+5x +5x
8 < 3x + 23
2.) Subtract 23 from both sides
8 < 3x + 23
-23 -23
-15 < 3x
3.) Divide by 3 on both sides
-15 < 3x
3 3
-5 < x
Because you divided by a negative, the sign flips
-5 > x
URGENT PLEASE I AM TIMED URGENT SOLVE THE PROBLEM AND PLEASE, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER, GIVE DETAIL'S I WILL MARK AND 5 STARS
Answers
I'm pretty sure you just multiply the 1 1/4 by 3 because if 1 1/4 makes 10 muffins you need to make 3 more dozens so 1 1/4 times 3 equals 3.75
WILL GIVE BRAINLIEST!! Need answers!!! Solve
1. -2x = -8
2. -2x - 4 = -18
3. 3 (x -4) = -18
4. (X-5) = -7
5. 2 (2x-4) = -16
Answers
1. -2x=-8, -2x/-2=-8/-2, x=4
2. -2x-4=-18, -2x=-18+4, -2x=-14, -2x/-2=-14/-2, x=7
3. 3(x-4)=-18, 3x-12=-18, 3x=-18+12, 3x=-6, 3x/3=-6/3, x=-2
4. (x-5)=-7, 1x=-7+5, 1x=-2, 1x/1=-2/1, x=-2
Answer:
1. x=4
2. x=7
3. x=-2
4. x=-2
5. x=-3
Step-by-step explanation:
1. Divide both sides by -2 to get x by itself
-2x/-2=-8/-2....
x=4
2. Add 4 to both sides and then divide by -2
-2x-4+4=-18+4
-2x/-2=-14/-2
x=7
3. Distribute, add 12 to both sides and then divide by 3
3x-12=-18
3x-12+12=-18+12
3x/3=-6/3
x=-2
4. Add 5 to both sides
x-5+5=-7+5
x=-2
5. Distribute, add 4 to both sides, divide both sides by 4
4x-4=-16
4x-4+4=-16+4
4x/4=-12/4
x=-3
Helpp pleaseeee i will make brainliest!
Answers
Answer:
d and a
Step-by-step explanation:
Two angles are said to be supplementary when the sum of the two angles is 180°. When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles:)
Please help ASAP!!!!!!!!
Answers
In this case (11-10)/(5-10) = 1/-5
The slope is -1/5
have a great night
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many
Answers
This question is incomplete
Complete Question
An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?
Answer:
a)How many students does the academy have per teacher?
22 students per teacher
b) Per tutor?
11 students per tutor
c) How many tutors does the academy need if it has 132 students?
12 tutors
Step-by-step explanation:
a)How many students does the academy have per teacher?
6 teachers = 132 students
1 teacher = x
6 × x = 132 × 1
x = 132 × 1/6
x = 22 students
Hence, we have 22 students per tutor
b) Per tutor?
4 tutors = 44 students
1 tutor = x students
Cross Multiply
4 × x = 1 × 44
x = 44/4
x = 11 students
Hence, we have 11 students per tutor
c) How many tutors does the academy need if it has 132 students?
44 students = 4 tutors
132 students = x tutors
Cross Multiply
44 × x = 132 × 4
44x = 132 × 4
x = 132 × 4/44
x = 12 tutors
The academy needs 12 tutors if they have 132 students.
Carlo is buying gas for his car. The gas costs $2.75 per gallon, and Carlo buys 9.8 gallons. How much did Carlo spend on gas?
Answers
Answer:
26.95
Step-by-step explanation:
you have to multiplies 9.8 ×2.75
What is the value of the x variable in the solution to the following system of equations?
4x + 2y = 6
x - y = 3
Answers
Answer:
The solution is x=2 and y=-1
Step-by-step explanation:
(step 1)
4x + 2y = 6
x - y = 3 - then multiply by 2
4x +2y = 6
2x -2y = 6 then add
6x x = 12 x = 12/6 = 2
Substitue back in (step 1)
4 x 2 + 2y = 6
8 + 2y = 6
Answer is = 2y = -2 y= -1
Solution: x= 2
y= -1
plss help ASAP
What is the ratio of blue shapes to all shapes in the set below?
4.9
5.9
4.5
5.4
Answers
Answer:
5:9
Step-by-step explanation:
There are 5 blue shapes out of 9 total shapes.