Answer: X or 30
Step-by-step explanation:
An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 3 1/2" by 5 1/4" on the drawing, how large is the bedroom?
A. 20 ft by 30 ft
B. 7ft by 10.5 ft
C. 14 ft by 21 ft
D. 10 ft by 15 ft
Answer:
C. 14 ft by 21 ft
Step-by-step explanation:
First you want to set up an equation:
3 1/2" over x' = 1/4" over 1'
7/2 = 1/4x
14' = x
Next, do the same thing for the other side of the drawing (5 1/4")
5 1/4" over y' = 1/4" over 1'
21/4 = 1/4y
21' = y
So the answer is 14 ft by 21 ft (C)
Solving Functions. Julio is paid 1.4 times his normal hourly rate for each hour he works over 29 hours in a week. Last week he worked 44 hours and earned $560.00.
y = 4x – 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(–2, 2)
(2, –2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),
y = 4x – 10 2 = 4x – 10
Add both sides by 10 12=4x
Divide both sides by 4 x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
Solve the triangle. Round your answers to the nearest tenth.
Answer Options:
A. m∠B=47, m∠C=28, b=24
B. m∠B=47, m∠C=28, b=28
C. m∠B=43, m∠C=32, b=28
D. m∠B=46, m∠C=29, b=24
Answer:
Option B
You use sine rule to find the missing angles
Answered by GAUTHMATH
For any triangle ABC, The correct option the given triangle is B. m∠B=47, m∠C=28, b=28.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took,
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
We have been given angle A = 105 degrees and side a = 37, side c = 18.
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle C}{c}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle C}{18}\\\\sin\angle C = \dfrac{sin\angle 105}{37} \times 18 \\\\sin\angle C = 28[/tex]
By angle sum property;
A + B + C = 180
105 + 28 + B = 180
B = 180 - 133
B = 47
Therefore,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle 47}{b} \\\\b = 28[/tex]
Hence, the correct option the given triangle is B. m∠B=47, m∠C=28, b=28.
Learn more about law of sines here:
https://brainly.com/question/17289163
#SPJ2
Help!!!
Slove for x.
A.11
B.9
C.13
D.14
Answer:
Step-by-step explanation:
The secants form a proportion where the full length of the secant is the denominator of a fraction where the numerator is the external part of the secant.
7/(x + 7) = 6/(15 + 6) Cross Multiply after combining
7 / (x + 7) = 6/(21)
6 * (x + 7) = 7 * 21 Remove the brackets
6x + 42 = 147 Subtract 42
6x = 147 - 42
6x = 105 Divide by 6
x = 17.5
I think I've done this correctly. If you find an error, please let me know and I'll open it for editing.
2.6767.......
How do I write 2.67 w/ repeating 67 as a simplified fraction,...
Please show work (or provide explination)
Answer:
[tex]\displaystyle \frac{265}{99}[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] be equal to the fraction form of the decimal.
[tex]x=2.\overline{67}[/tex]
Multiply both sides by 100:
[tex]100x=267.\overline{67}[/tex]
The reason we multiply both sides by 100 is that 2.6767... has two repeating decimals, 6 and 7, and 100 has two zeros.
Now, we have these two equations:
[tex]100x=267.\overline{67}[/tex]
[tex]x=2.\overline{67}[/tex]
Subtract [tex]x=2.\overline{67}[/tex] from [tex]100x=267.\overline{67}[/tex]:
[tex]100x=267.\overline{67}\\- x=2.\overline{67}\\\rule{70}{0.5}\\99x=265[/tex]
Isolate [tex]x[/tex] by dividing both sides by 99:
[tex]\displaystyle x=\frac{265}{99}[/tex]
I hope this helps!
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
Calculate 6+9i/-1+4i
Multiply the numerator and denominator by the conjugate of the denominator:
[tex]\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}[/tex]
Simplify:
[tex]\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}[/tex]
Factorise each expression 8 - 2v²
Answer:
hello thereee
8 - 2v^2 we are suppose to facotrize...
2 ( 4 - v^2 )
2 ( 2^2 - v^2 )
apply identity a^2 - b^2
2 ( 2 + v ) ( 2- v )
done dana done.....
I don't understand this at all ( PICTURE ) please help with a simple explanation if you can. 15 Points and Marking Brainliest, Reporting fakes.
Which expression has the same value as 4x – 3y?
O 3y - 4x
0 -3y - 40
Submit Answer
4x + 3y)
0-4x + (-3y)
POP Teleco
o
Answer:
4x+(-3y)
Step-by-step explanation:
[tex]\\ \rm\longmapsto 4x+(-3y)[/tex]
(-)(-)=(+)(+)(-)=(-)(-)(+)=(-)(+)(+)=(+)[tex]\\ \rm\longmapsto 4x-3y[/tex]
A national caterer determined that 37% of the people who sampled their food said that it was delicious. If the 144 people at the Valley Ridge Nursing Home are given the same food, and asked by tables what the deliciousness of the food, what is the mean of the sampling distribution of p-hat (the population proportion)
Answer:
Hence the mean of the sampling distribution of proportion is,
[tex]\mu\hat p = p = 0.37[/tex].
Step-by-step explanation:
Here the given details are,
p = 0.37
1 - p = 1 - 0.37 = 0.63
n = 144
The mean of the sampling distribution of proportion is,
[tex]\mu\hat p = p = 0.37[/tex]
what's the answer for this?
Answer:
A
Step-by-step explanation:
Observe the coordinates of C, it's (5,2). Now observe C' which is (2, - 5). Hence the rule is (x, y) -> (y, - x)
Câu 1 : Trong các phương trình sau phương trình nào là phương trình bậc nhất một ẩn ;
A/ x-1=x+2 B/(x-1)(x-2)=0 C/ax+b=0 D/ 2x+1=3x+5
Câu 2 : x=-2 là nghiệm của phương trình nào ?
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 3 : x=4 là nghiệm của phương trình
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 4 : Phương trình x+9=9+x có tập nghiệm là :
A/ S=R B/S={9} C/ S= D/ S= {R}
Câu 5 : Cho hai phương trình : x(x-1) (I) và 3x-3=0(II)
A/ (I)tương đương (II) B/ (I) là hệ quả của phương trình (II)
C/ (II) là hệ quả của phương trình (I) D/ Cả ba đều sai
Câu 6: Phương trình : x2 =-4 có nghiệm là :
A/ Một nghiệm x=2 B/ Một nghiệm x=-2
C/ Có hai nghiệm : x=-2; x=2 D/ Vô nghiệm
Answer:
Can you please answer the question in English so I can understand the English psyche can answer your question please ask this question in English actually I'm Indian so I know only 3 languages steps
HELP ASAP ILL GIVE BRAINLIST
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
t/f Elimination will give you an exact answer to a system of equations.
Answer:
TRUE If substituting the test point produces a false solution, we shade on the opposite side of the line.
FALSE Elimination will give you an exact answer to a system of equations.
Step-by-step explanation:
Weird, I thought I already answer this xD
Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 , then the sum of the roots is
α + β = - [tex]\frac{b}{a}[/tex]
Here 2x² - x - 3 = 0 is in standard form
with a = 2 and b = - 1 , then
sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
Which congruence theorem can be used to prove
ABR = RCA?
Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble
What is the probability of picking 1 red marble and 1 green marble?
(Once a marble is chosen it IS put back into the box).
(Write your answer in the form of a decimal, round to 2 places).
Answer:
0.06
Step-by-step explanation:
Total number of marbles:
6 + 10 + 5 + 1 = 22 marbles
Probability of picking 1 red marble:
red marbles / total marbles
6/22
Probability of picking a green marble:
green marbles / total marbles
5/22
Now, multiply the probabilities:
6/22 • 5/22 = 15/242 = 0.06
NEEDED ASAP will MARK THE CORRECT ONE
Answer:
→ m∠ABE + m∠EBC =180°
→ m∠ABF + m∠FED + ∠DBC =180°
→ ∠ABF ≅ ∠EBC
→ ∠ABE ≅ FBC
~OAmalOHopeO
plssssss help me answer this quickly
Answer:
Step-by-step explanation:
What is the approximate value of V7 to the nearest tenth
Answer:
17 i think i dont know if its the right answear
How long would it take the car to travel a distance of 2 meters at this average speed?
Answer:
1 hour
Step-by-step explanation:
2 ÷2=1 speed divide by distance
Question : A scale model of a tower is made using the scale 1 in=4ft. If the height of the scale
model is 20 in, what is the height of the tower?
Answer:
80ft
Step-by-step explanation:
1ib=4ft, multiply by 20 both sides and you will get 20in=80ft
PLZ HELP ASAP please
Answer:
b:4,5
Step-by-step explanation:
Answer: 6.4
Step-by-step explanation:
Use the distance formula-[tex]\sqrt{(x_{2}-x_{1}) +(y_{2} -y_{1} \\[/tex]
Fill formula and solve-
[tex]\sqrt{(-4-0)^2+(6-1)^2[/tex]
[tex]\sqrt{ (-4)^2+(5)^2[/tex]
[tex]\sqrt{ 16+25[/tex]
[tex]\sqrt{41[/tex]
[tex]\\6.4031[/tex]
[tex]6.4[/tex]
1. 8y = 48
2. q — 12 = 1
3. 18 = a/2
4. r/3 = 7
5. 11 = m — 4
Hello!
1. 8y = 48 => y = 48 : 8 => y = 6
2. q - 12 = 1 => q = 1 + 12 => q = 13
3. 18 = a/2 => a = 18 × 2 => a = 36
4. r/3 = 7 => r = 3 × 7 => r = 21
5. 11 = m - 4 => m = 11 + 4 => m = 15
Good luck! :)
Identify the reflection rule in the given figure.
A. Reflection along the line y = –1
B. Reflection along x-axis
C. Reflection along y = 1
D. Reflection along y-axis
Answer: A) Reflection along the line y = -1
===========================================================
Explanation:
Point A is at (1,5). Point A' is at (1,-7).
Apply the midpoint formula to find the center of these two points.
You should get (1,-1) as that midpoint.
Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)
Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.
Please tell me whats the number?
Answer:
5/6
Step-by-step explanation:
15/18
Divide the top and bottom by 3
15/3 = 5
18/3 = 6
5/6
I have simplified:)
To simplify, you have to divide the numerator & denominator by 3
BTW,I am also an Acellus student!:)
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Answer:
(2 + 1)^2 + 2 = 10 - 6
Falso
Step-by-step explanation:
109 / 5000
El lado izquierdo
11
no es igual al lado derecho
4
, lo que significa que la declaración dada es falsa.
Falso
simple way to differentiate between speed and average speed.
Answer:
speed
1)the distance travelled by a body per unit time is known as speed.
2) speed is speed, or something how fast is going,
3) while velocity is speed how fast something is going in a specific direction.
average speed
1) average speed is the speed added up and divided by number of speed .
2)the average of all the instantaneous speed in a give time interval.
3) the average speed as the duration of the time interval approaches zero.
90 is 30% of what number
Answer:
300
Step-by-step explanation:
Is means equals and of means multiply
90 = 30% *n
90 = .3n
Divide each side by .3
90/.3 = n
300 = n
